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

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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 0 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 2 2 2 2 2 2 2 2 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 0 2 2 2 2 2 2 2 2 2 3 2 2 1 2 2 2 2 2 2 0 2 2 3 2 2 2 2 2 2 3 2 2 1 2 2 2 2 2 2 0 2 2 3 2 2 2 2 2 2 3 2 2 1 2 2 2 2 Example 2: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 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 2 2 2 2 2 2 2 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 7 2 2 2 2 2 2 0 2 2 3 2 2 2 2 2 2 3 2 2 7 2 2 2 2 2 2 0 2 2 3 2 2 2 2 2 2 3 2 2 7 2 2 2 2 2 2 0 2 2 3 1 2 2 2 2 2 3 2 2 7 3 2 2 2 2 2 0 2 2 3 1 2 2 2 2 2 3 2 2 7 3 2 2 2 2 2 0 2 2 3 1 2 2 2 2 2 3 2 2 7 3 2 2 2 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 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 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 8 2 2 2 2 2 2 3 2 2 2 2 2 2 8 2 2 2 2 2 2 3 2 2 2 2 2 2 8 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 5 2 2 2 2 2 2 2 7 2 2 2 2 0 2 2 2 2 2 2 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
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2\n2 2 5 2 2 2 2 2 2\n2 7 3 2 2 2 0 2 2\n2 3 5 2 8 2 3 2 2\n2 7 3 2 3 2 0 2 2\n2 3 5 2 8 2 3 2 2\n2 7 3 2 3 2 0 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 0 2 2 2 2 2 2 2\n2 2 2 2 2 1 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\nOutput:\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 0 2 2 2 2 2 2 2\n2 2 3 2 2 1 2 2 2 2\n2 2 0 2 2 3 2 2 2 2\n2 2 3 2 2 1 2 2 2 2\n2 2 0 2 2 3 2 2 2 2\n2 2 3 2 2 1 2 2 2 2\n\nExample 2:\n\nInput:\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 7 2 2 2 2 2\n2 0 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 1 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\nOutput:\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 7 2 2 2 2 2\n2 0 2 2 3 2 2 2 2 2\n2 3 2 2 7 2 2 2 2 2\n2 0 2 2 3 2 2 2 2 2\n2 3 2 2 7 2 2 2 2 2\n2 0 2 2 3 1 2 2 2 2\n2 3 2 2 7 3 2 2 2 2\n2 0 2 2 3 1 2 2 2 2\n2 3 2 2 7 3 2 2 2 2\n2 0 2 2 3 1 2 2 2 2\n2 3 2 2 7 3 2 2 2 2\n\nExample 3:\n\nInput:\n2 2 2 2 2 2 2\n2 2 2 2 2 2 2\n2 2 2 2 2 2 2\n2 2 2 8 2 2 2\n2 2 2 2 2 2 2\n2 2 2 2 2 2 2\n2 2 2 2 2 2 2\n2 2 2 2 2 2 2\nOutput:\n2 2 2 2 2 2 2\n2 2 2 2 2 2 2\n2 2 2 2 2 2 2\n2 2 2 8 2 2 2\n2 2 2 3 2 2 2\n2 2 2 8 2 2 2\n2 2 2 3 2 2 2\n2 2 2 8 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\n2 2 2 2 2 2 2 2 2\n2 2 5 2 2 2 2 2 2\n2 7 2 2 2 2 0 2 2\n2 2 2 2 8 2 2 2 2\n2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2\n", "answer": "2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2\n2 2 5 2 2 2 2 2 2\n2 7 3 2 2 2 0 2 2\n2 3 5 2 8 2 3 2 2\n2 7 3 2 3 2 0 2 2\n2 3 5 2 8 2 3 2 2\n2 7 3 2 3 2 0 2 2", "metadata": {"source_dataset": "arc_agi", "source_index": 100, "input": [[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 5, 2, 2, 2, 2, 2, 2], [2, 7, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 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]], "output": [[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 5, 2, 2, 2, 2, 2, 2], [2, 7, 3, 2, 2, 2, 0, 2, 2], [2, 3, 5, 2, 8, 2, 3, 2, 2], [2, 7, 3, 2, 3, 2, 0, 2, 2], [2, 3, 5, 2, 8, 2, 3, 2, 2], [2, 7, 3, 2, 3, 2, 0, 2, 2]], "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": 100, "input": [[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 5, 2, 2, 2, 2, 2, 2], [2, 7, 2, 2, 2, 2, 0, 2, 2], [2, 2, 2, 2, 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]], "output": [[2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 5, 2, 2, 2, 2, 2, 2], [2, 7, 3, 2, 2, 2, 0, 2, 2], [2, 3, 5, 2, 8, 2, 3, 2, 2], [2, 7, 3, 2, 3, 2, 0, 2, 2], [2, 3, 5, 2, 8, 2, 3, 2, 2], [2, 7, 3, 2, 3, 2, 0, 2, 2]], "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: 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 9 4 4 4 4 4 4 9 4 4 4 4 9 4 4 4 4 4 4 9 4 4 4 4 9 4 4 5 4 5 4 9 4 4 4 4 9 4 4 4 4 4 4 9 4 4 4 4 9 4 4 4 5 4 4 9 4 4 4 4 9 4 4 4 4 5 4 9 4 4 4 4 9 4 4 4 4 4 4 9 4 4 4 4 9 4 4 4 4 4 4 9 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 Output: 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 9 9 9 9 9 9 9 9 4 4 4 4 9 9 9 9 9 9 9 9 4 4 4 4 9 9 9 5 4 5 9 9 4 4 4 4 9 9 9 4 4 4 9 9 4 4 4 4 9 9 9 4 5 4 9 9 4 4 4 4 9 9 9 4 4 5 9 9 4 4 4 4 9 9 9 9 9 9 9 9 4 4 4 4 9 9 9 9 9 9 9 9 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 Example 2: Input: 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 9 4 4 4 4 9 4 4 9 4 5 4 4 9 4 4 9 4 4 4 4 9 4 4 9 4 4 5 4 9 4 4 9 4 5 4 4 9 4 4 9 4 4 4 4 9 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 Output: 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 4 4 9 9 9 9 9 9 4 4 9 9 5 4 9 9 4 4 9 9 4 4 9 9 4 4 9 9 4 5 9 9 4 4 9 9 5 4 9 9 4 4 9 9 9 9 9 9 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 Example 3: Input: 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 9 4 4 4 4 4 4 9 4 4 4 4 9 4 4 5 4 4 4 9 4 4 4 4 9 4 4 4 5 4 4 9 4 4 4 4 9 4 4 4 4 4 4 9 4 4 4 4 9 4 4 4 4 4 4 9 4 4 4 4 9 4 4 4 4 4 4 9 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 4 4 4 4 4 Output: 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 9 9 9 9 9 9 9 9 4 4 4 4 9 9 9 5 4 9 9 9 4 4 4 4 9 9 9 4 5 9 9 9 4 4 4 4 9 9 9 9 9 9 9 9 4 4 4 4 9 9 9 9 9 9 9 9 4 4 4 4 9 9 9 9 9 9 9 9 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 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 9 9 9 9 9 9 9 9 9 4 4 4 4 9 4 4 4 4 4 4 4 9 4 4 4 4 9 4 5 4 4 4 4 4 9 4 4 4 4 9 4 4 4 4 5 4 4 9 4 4 4 4 9 4 4 4 5 4 4 4 9 4 4 4 4 9 4 4 5 4 4 4 4 9 4 4 4 4 9 4 4 4 4 4 4 4 9 4 4 4 4 9 4 4 4 4 4 4 4 9 4 4 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
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "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\n4 9 9 9 9 9 9 9 9 9 4 4 4\n4 9 9 9 9 9 9 9 9 9 4 4 4\n4 9 9 5 4 4 4 9 9 9 4 4 4\n4 9 9 4 4 4 5 9 9 9 4 4 4\n4 9 9 4 4 5 4 9 9 9 4 4 4\n4 9 9 4 5 4 4 9 9 9 4 4 4\n4 9 9 9 9 9 9 9 9 9 4 4 4\n4 9 9 9 9 9 9 9 9 9 4 4 4\n4 9 9 9 9 9 9 9 9 9 4 4 4\n4 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\n4 9 9 9 9 9 9 9 9 4 4 4\n4 9 4 4 4 4 4 4 9 4 4 4\n4 9 4 4 4 4 4 4 9 4 4 4\n4 9 4 4 5 4 5 4 9 4 4 4\n4 9 4 4 4 4 4 4 9 4 4 4\n4 9 4 4 4 5 4 4 9 4 4 4\n4 9 4 4 4 4 5 4 9 4 4 4\n4 9 4 4 4 4 4 4 9 4 4 4\n4 9 4 4 4 4 4 4 9 4 4 4\n4 9 9 9 9 9 9 9 9 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\nOutput:\n4 4 4 4 4 4 4 4 4 4 4 4\n4 9 9 9 9 9 9 9 9 4 4 4\n4 9 9 9 9 9 9 9 9 4 4 4\n4 9 9 9 9 9 9 9 9 4 4 4\n4 9 9 9 5 4 5 9 9 4 4 4\n4 9 9 9 4 4 4 9 9 4 4 4\n4 9 9 9 4 5 4 9 9 4 4 4\n4 9 9 9 4 4 5 9 9 4 4 4\n4 9 9 9 9 9 9 9 9 4 4 4\n4 9 9 9 9 9 9 9 9 4 4 4\n4 9 9 9 9 9 9 9 9 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n\nExample 2:\n\nInput:\n4 4 4 4 4 4 4 4\n4 9 9 9 9 9 9 4\n4 9 4 4 4 4 9 4\n4 9 4 5 4 4 9 4\n4 9 4 4 4 4 9 4\n4 9 4 4 5 4 9 4\n4 9 4 5 4 4 9 4\n4 9 4 4 4 4 9 4\n4 9 9 9 9 9 9 4\n4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4\nOutput:\n4 4 4 4 4 4 4 4\n4 9 9 9 9 9 9 4\n4 9 9 9 9 9 9 4\n4 9 9 5 4 9 9 4\n4 9 9 4 4 9 9 4\n4 9 9 4 5 9 9 4\n4 9 9 5 4 9 9 4\n4 9 9 9 9 9 9 4\n4 9 9 9 9 9 9 4\n4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4\n\nExample 3:\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4 4\n4 9 9 9 9 9 9 9 9 4 4 4\n4 9 4 4 4 4 4 4 9 4 4 4\n4 9 4 4 5 4 4 4 9 4 4 4\n4 9 4 4 4 5 4 4 9 4 4 4\n4 9 4 4 4 4 4 4 9 4 4 4\n4 9 4 4 4 4 4 4 9 4 4 4\n4 9 4 4 4 4 4 4 9 4 4 4\n4 9 9 9 9 9 9 9 9 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:\n4 4 4 4 4 4 4 4 4 4 4 4\n4 9 9 9 9 9 9 9 9 4 4 4\n4 9 9 9 9 9 9 9 9 4 4 4\n4 9 9 9 5 4 9 9 9 4 4 4\n4 9 9 9 4 5 9 9 9 4 4 4\n4 9 9 9 9 9 9 9 9 4 4 4\n4 9 9 9 9 9 9 9 9 4 4 4\n4 9 9 9 9 9 9 9 9 4 4 4\n4 9 9 9 9 9 9 9 9 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\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 4 4 4 4 4 4 4 4 4 4 4 4\n4 9 9 9 9 9 9 9 9 9 4 4 4\n4 9 4 4 4 4 4 4 4 9 4 4 4\n4 9 4 5 4 4 4 4 4 9 4 4 4\n4 9 4 4 4 4 5 4 4 9 4 4 4\n4 9 4 4 4 5 4 4 4 9 4 4 4\n4 9 4 4 5 4 4 4 4 9 4 4 4\n4 9 4 4 4 4 4 4 4 9 4 4 4\n4 9 4 4 4 4 4 4 4 9 4 4 4\n4 9 9 9 9 9 9 9 9 9 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4\n", "answer": "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\n4 9 9 9 9 9 9 9 9 9 4 4 4\n4 9 9 9 9 9 9 9 9 9 4 4 4\n4 9 9 5 4 4 4 9 9 9 4 4 4\n4 9 9 4 4 4 5 9 9 9 4 4 4\n4 9 9 4 4 5 4 9 9 9 4 4 4\n4 9 9 4 5 4 4 9 9 9 4 4 4\n4 9 9 9 9 9 9 9 9 9 4 4 4\n4 9 9 9 9 9 9 9 9 9 4 4 4\n4 9 9 9 9 9 9 9 9 9 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4", "metadata": {"source_dataset": "arc_agi", "source_index": 101, "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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4], [4, 9, 4, 4, 4, 4, 4, 4, 4, 9, 4, 4, 4], [4, 9, 4, 5, 4, 4, 4, 4, 4, 9, 4, 4, 4], [4, 9, 4, 4, 4, 4, 5, 4, 4, 9, 4, 4, 4], [4, 9, 4, 4, 4, 5, 4, 4, 4, 9, 4, 4, 4], [4, 9, 4, 4, 5, 4, 4, 4, 4, 9, 4, 4, 4], [4, 9, 4, 4, 4, 4, 4, 4, 4, 9, 4, 4, 4], [4, 9, 4, 4, 4, 4, 4, 4, 4, 9, 4, 4, 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]], "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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4], [4, 9, 9, 5, 4, 4, 4, 9, 9, 9, 4, 4, 4], [4, 9, 9, 4, 4, 4, 5, 9, 9, 9, 4, 4, 4], [4, 9, 9, 4, 4, 5, 4, 9, 9, 9, 4, 4, 4], [4, 9, 9, 4, 5, 4, 4, 9, 9, 9, 4, 4, 4], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 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]], "task_id": "d37a1ef5", "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": 101, "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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4], [4, 9, 4, 4, 4, 4, 4, 4, 4, 9, 4, 4, 4], [4, 9, 4, 5, 4, 4, 4, 4, 4, 9, 4, 4, 4], [4, 9, 4, 4, 4, 4, 5, 4, 4, 9, 4, 4, 4], [4, 9, 4, 4, 4, 5, 4, 4, 4, 9, 4, 4, 4], [4, 9, 4, 4, 5, 4, 4, 4, 4, 9, 4, 4, 4], [4, 9, 4, 4, 4, 4, 4, 4, 4, 9, 4, 4, 4], [4, 9, 4, 4, 4, 4, 4, 4, 4, 9, 4, 4, 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]], "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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4], [4, 9, 9, 5, 4, 4, 4, 9, 9, 9, 4, 4, 4], [4, 9, 9, 4, 4, 4, 5, 9, 9, 9, 4, 4, 4], [4, 9, 9, 4, 4, 5, 4, 9, 9, 9, 4, 4, 4], [4, 9, 9, 4, 5, 4, 4, 9, 9, 9, 4, 4, 4], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 4], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 4, 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]], "task_id": "d37a1ef5", "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 5 5 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 9 5 5 5 5 5 5 5 2 2 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 2 5 5 5 5 5 5 5 2 2 5 5 5 5 5 5 2 2 2 5 5 5 5 5 2 2 2 5 5 5 5 5 2 2 2 5 5 5 5 5 2 2 2 5 5 5 5 5 5 2 2 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 4 9 5 5 5 5 5 5 5 9 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: 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 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 1 9 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Output: 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 1 1 5 5 5 5 5 5 1 1 1 5 5 5 5 5 1 1 1 5 5 5 5 5 1 1 1 5 5 5 5 5 1 1 1 1 5 5 5 5 1 1 1 1 1 1 5 5 1 1 1 5 5 1 1 1 1 1 1 5 5 5 5 1 1 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 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 3 5 5 5 5 5 5 5 3 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Output: 3 3 3 5 5 5 5 5 5 5 3 3 3 5 5 5 5 5 5 5 3 3 3 5 5 5 5 5 5 5 3 3 3 5 5 5 5 5 5 5 3 3 3 5 5 5 5 5 5 5 3 3 3 5 5 5 5 5 5 5 3 3 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 9 9 5 5 5 5 5 5 5 0 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 5 5 5 5 5 5 5 5
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 5 0 0 0 5 5 0 0\n5 5 5 0 0 0 0 0 0\n5 5 5 5 0 0 0 0 5\n5 5 5 5 5 0 0 0 5\n5 5 5 5 5 5 0 0 0\n5 5 5 5 5 5 5 0 0\n5 5 5 5 5 5 5 5 0\n5 5 5 5 5 5 5 5 5\n5 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\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\n5 5 5 2 9 5 5 5 5\n5 5 5 2 2 5 5 5 5\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\nOutput:\n5 5 5 5 5 5 5 5 2\n5 5 5 5 5 5 5 2 2\n5 5 5 5 5 5 2 2 2\n5 5 5 5 5 2 2 2 5\n5 5 5 5 2 2 2 5 5\n5 5 5 2 2 2 5 5 5\n5 5 5 2 2 5 5 5 5\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\n\nExample 2:\n\nInput:\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\n5 5 5 5 4 9 5 5 5\n5 5 5 5 9 4 5 5 5\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\nOutput:\n5 5 5 5 5 5 5 5 4\n5 5 5 5 5 5 5 4 4\n5 5 5 5 5 5 4 4 4\n5 5 5 5 5 4 4 4 5\n5 5 5 5 4 4 4 5 5\n5 5 5 4 4 4 5 5 5\n5 5 4 4 4 5 5 5 5\n5 4 4 4 5 5 5 5 5\n4 4 4 5 5 5 5 5 5\n\nExample 3:\n\nInput:\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\n5 5 5 5 1 9 5 5 5\n5 5 5 5 9 9 5 5 5\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\nOutput:\n5 5 5 5 5 5 5 5 1\n5 5 5 5 5 5 5 1 1\n5 5 5 5 5 5 1 1 1\n5 5 5 5 5 1 1 1 5\n5 5 5 5 1 1 1 5 5\n5 5 5 1 1 1 1 5 5\n5 5 1 1 1 1 1 1 5\n5 1 1 1 5 5 1 1 1\n1 1 1 5 5 5 5 1 1\n\nExample 4:\n\nInput:\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 9 3 5\n5 5 5 5 5 5 3 3 5\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\nOutput:\n3 3 3 5 5 5 5 5 5\n5 3 3 3 5 5 5 5 5\n5 5 3 3 3 5 5 5 5\n5 5 5 3 3 3 5 5 5\n5 5 5 5 3 3 3 5 5\n5 5 5 5 5 3 3 3 5\n5 5 5 5 5 5 3 3 5\n5 5 5 5 5 5 5 5 5\n5 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\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 9 9 5 5\n5 5 5 5 5 0 9 5 5\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\n", "answer": "5 5 0 0 0 5 5 0 0\n5 5 5 0 0 0 0 0 0\n5 5 5 5 0 0 0 0 5\n5 5 5 5 5 0 0 0 5\n5 5 5 5 5 5 0 0 0\n5 5 5 5 5 5 5 0 0\n5 5 5 5 5 5 5 5 0\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5", "metadata": {"source_dataset": "arc_agi", "source_index": 102, "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, 5, 5], [5, 5, 5, 5, 5, 0, 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, 5, 5, 5, 5, 5, 5, 5, 5]], "output": [[5, 5, 0, 0, 0, 5, 5, 0, 0], [5, 5, 5, 0, 0, 0, 0, 0, 0], [5, 5, 5, 5, 0, 0, 0, 0, 5], [5, 5, 5, 5, 5, 0, 0, 0, 5], [5, 5, 5, 5, 5, 5, 0, 0, 0], [5, 5, 5, 5, 5, 5, 5, 0, 0], [5, 5, 5, 5, 5, 5, 5, 5, 0], [5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5]], "task_id": "1f0c79e5", "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": 102, "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, 5, 5], [5, 5, 5, 5, 5, 0, 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, 5, 5, 5, 5, 5, 5, 5, 5]], "output": [[5, 5, 0, 0, 0, 5, 5, 0, 0], [5, 5, 5, 0, 0, 0, 0, 0, 0], [5, 5, 5, 5, 0, 0, 0, 0, 5], [5, 5, 5, 5, 5, 0, 0, 0, 5], [5, 5, 5, 5, 5, 5, 0, 0, 0], [5, 5, 5, 5, 5, 5, 5, 0, 0], [5, 5, 5, 5, 5, 5, 5, 5, 0], [5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5]], "task_id": "1f0c79e5", "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 0 5 5 5 5 5 5 5 5 0 0 5 5 5 5 3 5 5 5 5 0 5 5 5 5 3 3 3 5 5 0 0 2 5 5 5 3 5 5 0 0 5 2 2 5 5 3 5 5 5 0 5 2 5 5 5 5 5 5 5 5 5 2 5 2 5 5 5 5 5 5 5 2 2 2 5 5 5 5 5 5 5 Output: 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 2 0 Example 2: Input: 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 9 9 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 3 5 5 2 5 5 5 5 5 3 5 5 2 2 5 5 7 5 5 3 3 5 5 2 5 5 7 5 5 5 5 5 5 2 5 5 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Output: 7 3 2 7 3 2 7 3 2 7 3 2 7 3 2 Example 3: Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 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 3 5 5 5 7 5 5 5 5 5 3 5 5 5 7 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 Output: 7 7 7 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 5 5 5 5 5 5 5 5 9 9 5 5 5 5 5 5 5 5 5 9 5 5 5 5 5 5 5 5 5 5 5 5 5 8 5 5 6 5 5 5 5 5 5 8 5 6 6 5 5 5 4 5 5 8 5 5 6 6 5 5 4 4 4 8 5 5 5 5 5 5 5 5 5 Output: 6 6 6 6 6 Example 5: 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 6 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 9 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 5 5 5 5 5 5 5 5 5 Output: 9 6 9 6 9 6 Example 6: 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 2 5 5 5 5 5 5 5 5 2 2 5 5 5 5 5 5 5 5 5 5 5 8 5 7 7 7 5 5 5 5 5 8 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 Output: 7 2 8 7 2 8 7 2 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: 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 5 5 7 5 5 5 5 5 6 6 5 5 7 5 5 5 5 5 5 5 5 5 7 5 5 5 0 0 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 1 1 5 8 8 8 5 5 5 5 1 5 5 5 8 5 5 5 5 5 5 5 5
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "8 6 1\n8 6 1\n8 6 1\n8 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:\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 0 5\n5 5 5 5 5 5 5 0 0 5\n5 5 5 3 5 5 5 5 0 5\n5 5 5 3 3 3 5 5 0 0\n2 5 5 5 3 5 5 0 0 5\n2 2 5 5 3 5 5 5 0 5\n2 5 5 5 5 5 5 5 5 5\n2 5 2 5 5 5 5 5 5 5\n2 2 2 5 5 5 5 5 5 5\nOutput:\n2 0\n2 0\n2 0\n2 0\n2 0\n2 0\n2 0\n2 0\n2 0\n\nExample 2:\n\nInput:\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 9 9\n5 5 5 5 5 5 5 9 9 5\n5 5 5 5 5 5 5 5 5 5\n5 5 5 3 3 5 5 2 5 5\n5 5 5 3 5 5 2 2 5 5\n7 5 5 3 3 5 5 2 5 5\n7 5 5 5 5 5 5 2 5 5\n7 7 7 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5\nOutput:\n7 3 2\n7 3 2\n7 3 2\n7 3 2\n7 3 2\n\nExample 3:\n\nInput:\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 2 2 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 3 5 5 5 7 5 5\n5 5 5 3 5 5 5 7 5 5\n5 5 5 5 5 5 5 7 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\nOutput:\n7\n7\n7\n\nExample 4:\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 9 9 5 5 5\n5 5 5 5 5 5 9 5 5 5\n5 5 5 5 5 5 5 5 5 5\n8 5 5 6 5 5 5 5 5 5\n8 5 6 6 5 5 5 4 5 5\n8 5 5 6 6 5 5 4 4 4\n8 5 5 5 5 5 5 5 5 5\nOutput:\n6\n6\n6\n6\n6\n\nExample 5:\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 6 6 5\n5 5 5 5 5 5 5 5 6 5\n5 5 5 9 5 5 5 5 5 5\n5 5 5 9 9 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\nOutput:\n9 6\n9 6\n9 6\n\nExample 6:\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 2 5 5 5\n5 5 5 5 5 2 2 5 5 5\n5 5 5 5 5 5 5 5 8 5\n7 7 7 5 5 5 5 5 8 5\n5 5 5 5 5 5 5 5 8 5\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5\nOutput:\n7 2 8\n7 2 8\n7 2 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:\n5 5 5 5 5 5 6 5 5 5\n5 5 5 5 5 5 6 5 5 7\n5 5 5 5 5 6 6 5 5 7\n5 5 5 5 5 5 5 5 5 7\n5 5 5 0 0 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 1 5 5\n5 5 5 5 5 5 5 1 1 5\n8 8 8 5 5 5 5 1 5 5\n5 8 5 5 5 5 5 5 5 5\n", "answer": "8 6 1\n8 6 1\n8 6 1\n8 6 1", "metadata": {"source_dataset": "arc_agi", "source_index": 103, "input": [[5, 5, 5, 5, 5, 5, 6, 5, 5, 5], [5, 5, 5, 5, 5, 5, 6, 5, 5, 7], [5, 5, 5, 5, 5, 6, 6, 5, 5, 7], [5, 5, 5, 5, 5, 5, 5, 5, 5, 7], [5, 5, 5, 0, 0, 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, 1, 1, 5], [8, 8, 8, 5, 5, 5, 5, 1, 5, 5], [5, 8, 5, 5, 5, 5, 5, 5, 5, 5]], "output": [[8, 6, 1], [8, 6, 1], [8, 6, 1], [8, 6, 1]], "task_id": "a3325580", "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": 103, "input": [[5, 5, 5, 5, 5, 5, 6, 5, 5, 5], [5, 5, 5, 5, 5, 5, 6, 5, 5, 7], [5, 5, 5, 5, 5, 6, 6, 5, 5, 7], [5, 5, 5, 5, 5, 5, 5, 5, 5, 7], [5, 5, 5, 0, 0, 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, 1, 1, 5], [8, 8, 8, 5, 5, 5, 5, 1, 5, 5], [5, 8, 5, 5, 5, 5, 5, 5, 5, 5]], "output": [[8, 6, 1], [8, 6, 1], [8, 6, 1], [8, 6, 1]], "task_id": "a3325580", "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 4 4 4 5 4 4 4 4 4 4 5 5 4 4 5 4 5 5 5 5 5 5 4 4 5 4 4 4 4 5 5 5 Output: 5 5 5 5 2 2 2 5 9 9 2 9 2 9 5 5 2 2 5 9 5 5 5 5 5 5 9 9 5 9 2 2 2 5 5 5 Example 2: Input: 4 4 5 5 5 4 4 4 5 4 4 5 5 4 4 4 5 4 4 5 4 5 4 5 4 4 4 4 4 5 5 4 5 4 4 4 Output: 2 9 5 5 5 9 9 9 5 9 9 5 5 2 9 2 5 2 2 5 9 5 2 5 9 9 2 9 9 5 5 9 5 2 2 9 Example 3: Input: 4 4 4 4 4 5 4 4 5 5 5 5 4 5 4 4 5 4 4 4 4 5 4 5 4 4 4 5 5 5 5 4 4 5 5 4 Output: 2 9 9 2 2 5 9 9 5 5 5 5 9 5 9 2 5 2 9 2 9 5 2 5 9 9 2 5 5 5 5 9 9 5 5 2 Example 4: Input: 4 5 5 4 5 4 4 4 5 4 5 4 5 4 5 5 4 4 5 5 4 4 4 4 4 5 4 4 4 5 4 4 5 4 4 5 Output: 9 5 5 9 5 2 9 2 5 9 5 2 5 2 5 5 9 9 5 5 2 2 9 9 9 5 2 9 2 5 9 2 5 9 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: 4 4 4 5 4 4 5 4 5 5 5 4 4 5 5 5 4 4 4 4 4 4 5 4 4 4 4 5 4 4 5 5 5 4 5 4
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 2 2 5 2 9\n5 9 5 5 5 9\n9 5 5 5 2 9\n9 2 2 2 5 9\n2 9 2 5 2 9\n5 5 5 2 5 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:\n5 5 5 5 4 4\n4 5 4 4 4 4\n4 4 5 5 4 4\n5 4 5 5 5 5\n5 5 4 4 5 4\n4 4 4 5 5 5\nOutput:\n5 5 5 5 2 2\n2 5 9 9 2 9\n2 9 5 5 2 2\n5 9 5 5 5 5\n5 5 9 9 5 9\n2 2 2 5 5 5\n\nExample 2:\n\nInput:\n4 4 5 5 5 4\n4 4 5 4 4 5\n5 4 4 4 5 4\n4 5 4 5 4 5\n4 4 4 4 4 5\n5 4 5 4 4 4\nOutput:\n2 9 5 5 5 9\n9 9 5 9 9 5\n5 2 9 2 5 2\n2 5 9 5 2 5\n9 9 2 9 9 5\n5 9 5 2 2 9\n\nExample 3:\n\nInput:\n4 4 4 4 4 5\n4 4 5 5 5 5\n4 5 4 4 5 4\n4 4 4 5 4 5\n4 4 4 5 5 5\n5 4 4 5 5 4\nOutput:\n2 9 9 2 2 5\n9 9 5 5 5 5\n9 5 9 2 5 2\n9 2 9 5 2 5\n9 9 2 5 5 5\n5 9 9 5 5 2\n\nExample 4:\n\nInput:\n4 5 5 4 5 4\n4 4 5 4 5 4\n5 4 5 5 4 4\n5 5 4 4 4 4\n4 5 4 4 4 5\n4 4 5 4 4 5\nOutput:\n9 5 5 9 5 2\n9 2 5 9 5 2\n5 2 5 5 9 9\n5 5 2 2 9 9\n9 5 2 9 2 5\n9 2 5 9 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:\n4 4 4 5 4 4\n5 4 5 5 5 4\n4 5 5 5 4 4\n4 4 4 4 5 4\n4 4 4 5 4 4\n5 5 5 4 5 4\n", "answer": "2 2 2 5 2 9\n5 9 5 5 5 9\n9 5 5 5 2 9\n9 2 2 2 5 9\n2 9 2 5 2 9\n5 5 5 2 5 9", "metadata": {"source_dataset": "arc_agi", "source_index": 104, "input": [[4, 4, 4, 5, 4, 4], [5, 4, 5, 5, 5, 4], [4, 5, 5, 5, 4, 4], [4, 4, 4, 4, 5, 4], [4, 4, 4, 5, 4, 4], [5, 5, 5, 4, 5, 4]], "output": [[2, 2, 2, 5, 2, 9], [5, 9, 5, 5, 5, 9], [9, 5, 5, 5, 2, 9], [9, 2, 2, 2, 5, 9], [2, 9, 2, 5, 2, 9], [5, 5, 5, 2, 5, 9]], "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": 104, "input": [[4, 4, 4, 5, 4, 4], [5, 4, 5, 5, 5, 4], [4, 5, 5, 5, 4, 4], [4, 4, 4, 4, 5, 4], [4, 4, 4, 5, 4, 4], [5, 5, 5, 4, 5, 4]], "output": [[2, 2, 2, 5, 2, 9], [5, 9, 5, 5, 5, 9], [9, 5, 5, 5, 2, 9], [9, 2, 2, 2, 5, 9], [2, 9, 2, 5, 2, 9], [5, 5, 5, 2, 5, 9]], "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]}}
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 2 0 0 0 0 2 0 0 0 0 2 2 0 2 2 2 0 0 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 0 0 0 0 0 0 0 2 2 0 0 2 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 6 6 0 6 0 6 0 0 6 0 0 0 0 0 0 0 0 0 0 6 0 0 6 6 0 0 0 0 0 0 0 0 0 0 0 6 0 6 0 0 6 0 0 0 6 6 6 0 6 0 0 0 0 0 0 0 0 0 6 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 2 0 0 2 2 2 0 2 2 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 0 2 2 2 0 2 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 2 0 0 2 2 0 0 0 2 0 0 2 2 2 0 2 2 0 0 0 2 0 2 0 2 0 2 0 2 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 6 0 6 0 0 0 0 0 0 0 6 0 0 0 6 0 0 6 6 6 0 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 0 0 0 6 0 0 6 0 0 0 0 6 0 6 0 0 0 0 0 0 0 6 0 0 0 6 0 0 0 6 0 0 0 6 6 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 2 2 2 0 2 2 2 0 0 2 2 0 0 2 0 2 0 0 2 0 0 0 2 0 0 0 2 0 2 0 2 0 0 0 2 2 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 6 0 0 0 0 0 6 0 0 6 0 6 0 6 0 6 0 0 0 6 0 0 0 6 6 0 0 0 6 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 2 0 0 0 2 2 0 2 0 0 0 0 2 2 0 0 2 2 0 0 2 2 2 0 0 2 2 2 0 2 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 0 0 2 0 0 0 2 2 2 0 0 2 0 0 2 0 2 0 0 2 0 2 0 2 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 0 0 2 0 2 0 0 2 0 2 0 2 2 2 0 0 2 2 0 0 2 0 0 0 2 0 2 0 0 2 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\n0 6 0 6 0 6 0 0 0 0 6 6 0\n0 0 0 6 0 0 0 6 0 0 0 0 0\n0 0 0 0 0 0 6 0 0 6 6 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0\n0 6 0 0 0 0 6 0 0 6 0 6 0\n0 0 0 0 0 6 0 6 0 0 6 0 0\n0 0 6 0 0 0 6 6 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 6 6 0 0 6 0 0\n0 0 6 0 0 0 0 0 0 6 0 0 0\n0 0 6 6 0 0 6 0 0 6 0 6 0\n0 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\n0 2 0 0 0 0 2 0 0\n0 0 2 2 0 2 2 2 0\n0 2 2 0 0 2 0 0 0\n0 0 0 0 0 0 0 0 0\n0 0 2 0 0 2 0 2 0\n0 0 0 0 0 0 2 2 0\n0 2 2 2 0 2 0 2 0\n0 0 0 0 0 0 0 0 0\nOutput:\n0 0 0 0 0 0 0 0 0\n0 0 6 6 0 6 0 6 0\n0 6 0 0 0 0 0 0 0\n0 0 0 6 0 0 6 6 0\n0 0 0 0 0 0 0 0 0\n0 6 0 6 0 0 6 0 0\n0 6 6 6 0 6 0 0 0\n0 0 0 0 0 0 6 0 0\n0 0 0 0 0 0 0 0 0\n\nExample 2:\n\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 2 0 0 2 2 2 0 2 2 0 0\n0 2 0 2 0 0 0 0 0 0 0 2 0\n0 2 2 2 0 2 2 2 0 2 2 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0\n0 2 0 2 0 2 0 2 0 0 2 2 0\n0 0 2 0 0 2 2 2 0 2 2 0 0\n0 2 0 2 0 2 0 2 0 2 0 0 0\n0 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\n0 6 0 6 0 0 0 0 0 0 0 6 0\n0 0 6 0 0 6 6 6 0 6 6 0 0\n0 0 0 0 0 0 0 0 0 0 0 6 0\n0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 6 0 0 0 6 0 0 6 0 0 0\n0 6 0 6 0 0 0 0 0 0 0 6 0\n0 0 6 0 0 0 6 0 0 0 6 6 0\n0 0 0 0 0 0 0 0 0 0 0 0 0\n\nExample 3:\n\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0 0\n0 2 2 2 0 2 2 2 0 0 2 2 0\n0 2 0 2 0 0 2 0 0 0 2 0 0\n0 2 0 2 0 2 0 0 0 2 2 0 0\n0 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\n0 0 0 0 0 0 0 0 0 6 0 0 0\n0 0 6 0 0 6 0 6 0 6 0 6 0\n0 0 6 0 0 0 6 6 0 0 0 6 0\n0 0 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\n0 0 2 0 0 0 2 2 0 2 0 0 0\n0 2 2 0 0 2 2 0 0 2 2 2 0\n0 2 2 2 0 2 0 2 0 0 0 2 0\n0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 2 2 0 2 0 2 0 0 2 0 0\n0 2 2 2 0 0 2 0 0 2 0 2 0\n0 2 0 2 0 2 0 0 0 2 2 2 0\n0 0 0 0 0 0 0 0 0 0 0 0 0\n0 2 2 2 0 2 0 0 0 2 0 2 0\n0 2 0 2 0 2 2 2 0 0 2 2 0\n0 2 0 0 0 2 0 2 0 0 2 0 0\n0 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\n0 6 0 6 0 6 0 0 0 0 6 6 0\n0 0 0 6 0 0 0 6 0 0 0 0 0\n0 0 0 0 0 0 6 0 0 6 6 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0\n0 6 0 0 0 0 6 0 0 6 0 6 0\n0 0 0 0 0 6 0 6 0 0 6 0 0\n0 0 6 0 0 0 6 6 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 6 6 0 0 6 0 0\n0 0 6 0 0 0 0 0 0 6 0 0 0\n0 0 6 6 0 0 6 0 0 6 0 6 0\n0 0 0 0 0 0 0 0 0 0 0 0 0", "metadata": {"source_dataset": "arc_agi", "source_index": 105, "input": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0], [0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0], [0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0], [0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 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, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 0, 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, 6, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "task_id": "1c0d0a4b", "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": 105, "input": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0], [0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0], [0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0], [0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0], [0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0], [0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 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, 6, 0, 6, 0, 6, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 0, 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, 6, 6, 0, 0, 6, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 6, 6, 0, 0, 6, 0, 0, 6, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "task_id": "1c0d0a4b", "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 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 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 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 1 Output: 8 2 1 0 8 8 8 8 8 8 8 8 5 8 8 8 8 8 3 8 8 8 8 8 8 8 8 2 1 0 8 8 8 8 8 8 8 8 5 8 3 8 8 8 8 3 8 8 8 8 1 0 8 8 2 1 0 8 8 8 5 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 3 8 8 8 8 8 3 8 8 2 1 0 8 8 8 2 1 Example 2: Input: 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 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 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 1 8 8 8 8 8 8 Output: 8 8 8 8 8 8 8 8 8 3 8 8 8 8 8 8 8 8 2 1 8 8 8 8 8 3 8 8 8 5 8 8 8 8 2 1 0 8 8 8 8 8 8 8 8 5 8 8 8 8 8 3 8 8 8 8 8 8 8 8 2 1 0 8 8 8 8 3 8 8 8 5 8 8 8 8 2 1 0 8 8 8 8 3 8 8 8 5 8 8 8 8 2 1 0 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 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 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 8 8 8 8 8 1 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 8 8
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "3 8 8 8 8 2 1 0 8 8\n1 0 8 8 8 8 5 8 8 8\n5 8 8 3 8 8 8 8 8 8\n8 8 2 1 0 8 8 8 8 3\n8 8 8 5 8 8 8 8 2 1\n8 8 8 8 8 8 8 8 8 5\n8 8 3 8 8 8 3 8 8 8\n8 2 1 0 8 2 1 0 8 8\n3 8 5 8 8 8 5 8 8 8\n1 0 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 1 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 1 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n1 8 8 8 8 1 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 1 8 8 8 8 8 1\nOutput:\n8 2 1 0 8 8 8 8 8 8\n8 8 5 8 8 8 8 8 3 8\n8 8 8 8 8 8 8 2 1 0\n8 8 8 8 8 8 8 8 5 8\n3 8 8 8 8 3 8 8 8 8\n1 0 8 8 2 1 0 8 8 8\n5 8 8 8 8 5 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 3 8 8 8 8 8 3\n8 8 2 1 0 8 8 8 2 1\n\nExample 2:\n\nInput:\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 1\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 1 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 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 1 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 1 8 8 8 8 8 8\nOutput:\n8 8 8 8 8 8 8 8 8 3\n8 8 8 8 8 8 8 8 2 1\n8 8 8 8 8 3 8 8 8 5\n8 8 8 8 2 1 0 8 8 8\n8 8 8 8 8 5 8 8 8 8\n8 3 8 8 8 8 8 8 8 8\n2 1 0 8 8 8 8 3 8 8\n8 5 8 8 8 8 2 1 0 8\n8 8 8 3 8 8 8 5 8 8\n8 8 2 1 0 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 1 8 8 8\n1 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 1 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 1\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 1 8 8 8 1 8 8 8\n8 8 8 8 8 8 8 8 8 8\n1 8 8 8 8 8 8 8 8 8\n", "answer": "3 8 8 8 8 2 1 0 8 8\n1 0 8 8 8 8 5 8 8 8\n5 8 8 3 8 8 8 8 8 8\n8 8 2 1 0 8 8 8 8 3\n8 8 8 5 8 8 8 8 2 1\n8 8 8 8 8 8 8 8 8 5\n8 8 3 8 8 8 3 8 8 8\n8 2 1 0 8 2 1 0 8 8\n3 8 5 8 8 8 5 8 8 8\n1 0 8 8 8 8 8 8 8 8", "metadata": {"source_dataset": "arc_agi", "source_index": 106, "input": [[8, 8, 8, 8, 8, 8, 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, 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, 8, 8, 8], [8, 8, 1, 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, 8, 8]], "output": [[3, 8, 8, 8, 8, 2, 1, 0, 8, 8], [1, 0, 8, 8, 8, 8, 5, 8, 8, 8], [5, 8, 8, 3, 8, 8, 8, 8, 8, 8], [8, 8, 2, 1, 0, 8, 8, 8, 8, 3], [8, 8, 8, 5, 8, 8, 8, 8, 2, 1], [8, 8, 8, 8, 8, 8, 8, 8, 8, 5], [8, 8, 3, 8, 8, 8, 3, 8, 8, 8], [8, 2, 1, 0, 8, 2, 1, 0, 8, 8], [3, 8, 5, 8, 8, 8, 5, 8, 8, 8], [1, 0, 8, 8, 8, 8, 8, 8, 8, 8]], "task_id": "d364b489", "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": 106, "input": [[8, 8, 8, 8, 8, 8, 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, 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, 8, 8, 8], [8, 8, 1, 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, 8, 8]], "output": [[3, 8, 8, 8, 8, 2, 1, 0, 8, 8], [1, 0, 8, 8, 8, 8, 5, 8, 8, 8], [5, 8, 8, 3, 8, 8, 8, 8, 8, 8], [8, 8, 2, 1, 0, 8, 8, 8, 8, 3], [8, 8, 8, 5, 8, 8, 8, 8, 2, 1], [8, 8, 8, 8, 8, 8, 8, 8, 8, 5], [8, 8, 3, 8, 8, 8, 3, 8, 8, 8], [8, 2, 1, 0, 8, 2, 1, 0, 8, 8], [3, 8, 5, 8, 8, 8, 5, 8, 8, 8], [1, 0, 8, 8, 8, 8, 8, 8, 8, 8]], "task_id": "d364b489", "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 5 3 3 3 3 3 3 3 3 3 3 5 3 3 5 3 3 3 5 3 3 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 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 5 3 3 3 3 1 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 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 1 1 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 5 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 5 3 5 3 3 3 3 3 3 3 1 3 3 5 3 3 3 3 3 3 3 3 1 3 3 3 5 3 3 1 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 1 3 5 3 3 3 3 3 3 1 3 3 3 3 3 5 3 3 3 3 1 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 5 3 3 3 3 3 3 3 3 5 3 3 3 5 3 3 4 4 4 4 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 1 3 4 4 3 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 5 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 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 3 3 1 3 1 5 3 3 3 5 3 3 3 3 5 3 3 3 3 3 1 3 3 3 3 1 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 5 3 3 3 3 3 3 5 3 3 3 3 3 3 3 5 3 3 3 3 3 3 1 3 1 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 1 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 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 5 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 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 1 3 3 3 5 3 3 3 3 3 5 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 3 3 3 3 1 5 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 5 3 1 1 5 3 3 3 3 3 3 3 3 3 3 5 3 5 3 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 1 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 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 5 3 5 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 1 3 1 3 3 3 1 3 3 3 3 3 3 3 5 3 3 3 3 3 3 Output: 3 4 4 4 4 4 4 3 4 4 4 4 4 4 3 Example 2: Input: 3 3 3 3 3 3 3 3 3 3 3 3 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 9 3 9 3 3 3 3 3 3 3 3 3 3 3 3 9 3 3 3 9 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 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 9 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 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 9 3 3 3 3 3 3 3 3 3 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 9 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 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 9 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 9 3 3 3 3 3 3 3 3 9 3 3 3 3 3 0 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 0 0 0 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 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 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 9 3 3 3 3 3 9 3 3 3 3 3 3 3 3 3 3 3 9 9 3 9 9 3 3 9 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 9 3 3 3 3 3 3 3 3 3 3 9 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 9 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 9 3 9 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 9 3 3 3 3 3 3 3 3 3 3 3 3 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 Output: 3 0 0 0 0 0 3 0 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 7 4 7 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 3 3 3 3 3 3 4 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 5 3 3 3 3 7 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 7 3 7 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 3 3 3 3 3 5 3 3 5 4 3 3 3 3 3 3 3 3 7 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 4 4 5 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 5 3 3 3 7 7 7 3 3 3 9 9 9 9 3 3 3 4 3 3 3 3 3 3 3 5 3 3 7 3 7 3 3 3 3 3 3 3 3 3 9 3 3 9 3 3 3 3 3 3 3 4 3 3 3 3 4 4 3 7 7 4 3 3 3 3 3 3 7 3 9 9 9 9 3 3 3 3 3 3 3 3 3 5 3 5 3 3 4 3 7 3 3 3 3 5 3 3 3 3 3 9 9 3 3 3 3 3 4 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 4 3 3 3 5 3 3 3 3 3 3 3 7 3 3 3 7 3 3 3 3 3 7 3 3 3 4 3 3 7 7 5 5 3 3 7 3 3 7 3 4 3 3 3 7 4 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 7 3 3 4 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 5 4 3 3 3 5 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 5 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 4 3 3 5 3 3 3 3 3 3 4 3 5 7 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 4 3 3 3 3 3 5 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 4 7 3 3 3 5 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 7 3 3 5 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 5 3 3 3 3 3 3 3 5 3 3 3 3 4 3 4 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 5 3 3 7 7 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 7 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 5 5 3 3 3 3 5 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 7 3 7 3 3 3 3 3 3 3 7 3 5 3 3 3 3 3 7 3 3 3 3 3 3 5 3 3 7 3 3 3 3 3 3 7 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 5 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 3 3
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "9 9 9 9\n9 3 3 9\n9 9 9 9\n3 9 9 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 5 3 3 3 3 3 3 3 3 3 3 5 3 3 5 3 3 3 5 3 3 1 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 5 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 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 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 5 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 1 1 3\n3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 5 3 3 5 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 5 3 3 3 3 3 3 3\n1 3 3 5 3 3 3 3 3 3 3 3 1 3 3 3 5 3 3 1 3 3 3 3 3 5 3 3 3 3\n3 3 3 3 3 3 3 3 1 3 5 3 3 3 3 3 3 1 3 3 3 3 3 5 3 3 3 3 1 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 5 3 3 3 3\n3 3 3 3 5 3 3 3 5 3 3 4 4 4 4 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 5 3 3 1 3 4 4 3 4 4 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 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 3\n3 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 3\n3 1 3 1 5 3 3 3 5 3 3 3 3 5 3 3 3 3 3 1 3 3 3 3 1 3 3 3 3 3\n3 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\n3 3 3 3 5 3 3 3 3 3 3 5 3 3 3 3 3 3 3 5 3 3 3 3 3 3 1 3 1 3\n3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 3 5 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 1 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 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 5\n3 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\n3 3 3 1 1 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 5 3 3\n3 3 3 3 3 3 5 3 3 3 3 3 3 3 1 3 3 3 5 3 3 3 3 3 5 3 3 5 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 1\n5 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\n3 3 3 3 5 3 1 1 5 3 3 3 3 3 3 3 3 3 3 5 3 5 3 3 3 3 3 3 3 3\n3 3 3 3 1 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 1 3 3 1 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 5 3 5 3 3 3 3 3 3 3 3 3\n5 3 3 3 3 3 3 3 3 1 3 1 3 3 3 1 3 3 3 3 3 3 3 5 3 3 3 3 3 3\nOutput:\n3 4 4 4 4\n4 4 3 4 4\n4 4 4 4 3\n\nExample 2:\n\nInput:\n3 3 3 3 3 3 3 3 3 3 3 3 9 9 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 9 3 9 3 3 3 3 3 3 3 3 3\n3 3 3 9 3 3 3 9 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 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 3\n3 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\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 3\n9 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\n3 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\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 9 3 3\n3 3 3 3 3 3 3 9 9 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 9 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 3 3 3 3 3 3 9 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 9 3 3\n3 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\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 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 9 3 3 3 3\n3 3 3 3 9 3 3 3 3 3 0 0 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 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n9 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\n9 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\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 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 3 3 3 3 3 9 3 3 3 3 3 3 3 3 3\n3 3 9 9 3 9 9 3 3 9 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 9 3 3 3 3 3 3 3 3 3 3 9 3 3 3 3 3 3 3 3 3 3 9 3 3 9 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 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 9 3 3 3 3\n3 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\n3 3 3 9 3 9 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 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 9 3 3 3 3 3 3 3 3 3 3\n3 3 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\nOutput:\n3 0 0\n0 0 0\n3 0 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 7 4 7 4 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 4 3 3 3 3 3 3 4\n3 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\n3 5 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3\n3 3 3 3 7 3 7 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 3 3 3 3 3 5 3 3 5 4 3 3 3 3\n3 3 3 3 7 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\n3 3 4 4 5 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\n3 3 5 3 3 3 7 7 7 3 3 3 9 9 9 9 3 3 3 4 3 3 3 3 3 3 3 5 3 3\n7 3 7 3 3 3 3 3 3 3 3 3 9 3 3 9 3 3 3 3 3 3 3 4 3 3 3 3 4 4\n3 7 7 4 3 3 3 3 3 3 7 3 9 9 9 9 3 3 3 3 3 3 3 3 3 5 3 5 3 3\n4 3 7 3 3 3 3 5 3 3 3 3 3 9 9 3 3 3 3 3 4 3 3 3 3 3 3 4 3 3\n3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 4 3 3 3 5 3 3 3 3 3 3\n3 7 3 3 3 7 3 3 3 3 3 7 3 3 3 4 3 3 7 7 5 5 3 3 7 3 3 7 3 4\n3 3 3 7 4 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 7 3 3 4 3\n3 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\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 4 3 3 3 5 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 5 3 3 3 3 3\n3 3 3 5 3 3 3 3 3 3 3 3 4 3 3 5 3 3 3 3 3 3 4 3 5 7 3 3 3 3\n3 3 3 3 3 3 3 3 5 3 3 4 3 3 3 3 3 5 3 3 3 3 3 3 5 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 7 4 7 3 3 3 5 3 3 3 3 3 5 3 3 3 3 3 3\n3 3 3 7 3 3 5 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 5 3 3 3 3 3 3 3 5 3 3 3 3 4 3 4 3 3 7 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 5 3 3 7\n7 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 7 3 7 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3\n4 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3\n3 4 3 3 3 3 5 5 3 3 3 3 5 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n5 7 3 7 3 3 3 3 3 3 3 7 3 5 3 3 3 3 3 7 3 3 3 3 3 3 5 3 3 7\n3 3 3 3 3 3 7 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3\n3 3 5 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 3 3\n", "answer": "9 9 9 9\n9 3 3 9\n9 9 9 9\n3 9 9 3", "metadata": {"source_dataset": "arc_agi", "source_index": 107, "input": [[3, 3, 3, 7, 4, 7, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4], [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, 5, 3, 3, 3, 3, 7, 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, 7, 3, 7, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 5, 3, 3, 5, 4, 3, 3, 3, 3], [3, 3, 3, 3, 7, 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, 4, 4, 5, 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, 5, 3, 3, 3, 7, 7, 7, 3, 3, 3, 9, 9, 9, 9, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3], [7, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 4], [3, 7, 7, 4, 3, 3, 3, 3, 3, 3, 7, 3, 9, 9, 9, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 5, 3, 3], [4, 3, 7, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 9, 9, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3], [3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3], [3, 7, 3, 3, 3, 7, 3, 3, 3, 3, 3, 7, 3, 3, 3, 4, 3, 3, 7, 7, 5, 5, 3, 3, 7, 3, 3, 7, 3, 4], [3, 3, 3, 7, 4, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 7, 3, 3, 4, 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, 5, 4, 3, 3, 3, 5, 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, 5, 3, 3, 3, 3, 3], [3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 5, 3, 3, 3, 3, 3, 3, 4, 3, 5, 7, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 4, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 4, 7, 3, 3, 3, 5, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3], [3, 3, 3, 7, 3, 3, 5, 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, 5, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 4, 3, 4, 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, 5, 3, 3, 7], [7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 7, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3], [4, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 4, 3, 3, 3, 3, 5, 5, 3, 3, 3, 3, 5, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 7, 3, 7, 3, 3, 3, 3, 3, 3, 3, 7, 3, 5, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 5, 3, 3, 7], [3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3], [3, 3, 5, 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, 3, 3]], "output": [[9, 9, 9, 9], [9, 3, 3, 9], [9, 9, 9, 9], [3, 9, 9, 3]], "task_id": "1f85a75f", "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": 107, "input": [[3, 3, 3, 7, 4, 7, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4], [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, 5, 3, 3, 3, 3, 7, 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, 7, 3, 7, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 5, 3, 3, 5, 4, 3, 3, 3, 3], [3, 3, 3, 3, 7, 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, 4, 4, 5, 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, 5, 3, 3, 3, 7, 7, 7, 3, 3, 3, 9, 9, 9, 9, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3], [7, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 4, 4], [3, 7, 7, 4, 3, 3, 3, 3, 3, 3, 7, 3, 9, 9, 9, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 5, 3, 3], [4, 3, 7, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 9, 9, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3], [3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3], [3, 7, 3, 3, 3, 7, 3, 3, 3, 3, 3, 7, 3, 3, 3, 4, 3, 3, 7, 7, 5, 5, 3, 3, 7, 3, 3, 7, 3, 4], [3, 3, 3, 7, 4, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 7, 3, 3, 4, 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, 5, 4, 3, 3, 3, 5, 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, 5, 3, 3, 3, 3, 3], [3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 5, 3, 3, 3, 3, 3, 3, 4, 3, 5, 7, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 4, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 4, 7, 3, 3, 3, 5, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3], [3, 3, 3, 7, 3, 3, 5, 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, 5, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 4, 3, 4, 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, 5, 3, 3, 7], [7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 7, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3], [4, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 4, 3, 3, 3, 3, 5, 5, 3, 3, 3, 3, 5, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [5, 7, 3, 7, 3, 3, 3, 3, 3, 3, 3, 7, 3, 5, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 5, 3, 3, 7], [3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3], [3, 3, 5, 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, 3, 3]], "output": [[9, 9, 9, 9], [9, 3, 3, 9], [9, 9, 9, 9], [3, 9, 9, 3]], "task_id": "1f85a75f", "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 0 3 3 3 3 3 3 3 3 3 3 3 8 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 8 3 3 3 3 3 3 3 3 3 3 3 8 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 1 3 6 3 9 3 3 8 3 3 3 3 2 3 4 3 6 3 3 0 3 Output: 3 3 3 2 3 4 3 6 3 3 0 3 3 3 3 1 3 6 3 9 3 3 8 3 3 3 3 2 3 4 3 6 3 3 0 3 3 3 3 1 3 6 3 9 3 3 8 3 3 3 3 1 3 6 3 9 3 3 8 3 3 3 3 2 3 4 3 6 3 3 0 3 3 3 3 1 3 6 3 9 3 3 8 3 3 3 3 2 3 4 3 6 3 3 0 3 Example 2: Input: 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 6 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 6 3 3 3 6 3 3 3 0 3 0 3 3 3 4 3 3 3 9 3 6 3 3 3 4 3 3 3 9 3 6 3 Output: 3 3 6 3 3 3 0 3 0 3 3 3 6 3 3 3 0 3 0 3 3 3 4 3 3 3 9 3 6 3 3 3 6 3 3 3 0 3 0 3 3 3 4 3 3 3 9 3 6 3 3 3 6 3 3 3 0 3 0 3 3 3 4 3 3 3 9 3 6 3 3 3 4 3 3 3 9 3 6 3 Example 3: Input: 3 3 3 3 9 3 3 3 3 3 8 3 3 3 3 3 9 3 3 3 3 3 8 3 3 3 3 3 8 3 3 6 3 3 8 3 3 4 3 3 9 3 3 4 3 3 9 3 Output: 3 4 3 3 9 3 3 6 3 3 8 3 3 4 3 3 9 3 3 6 3 3 8 3 3 6 3 3 8 3 3 6 3 3 8 3 3 4 3 3 9 3 3 4 3 3 9 3 Example 4: Input: 3 3 3 3 3 3 3 3 9 3 3 3 3 3 3 3 3 3 9 3 3 3 3 3 3 3 3 3 6 3 3 3 3 3 3 3 3 3 9 3 3 3 3 3 3 3 3 3 9 3 3 3 3 2 3 8 3 3 6 3 3 3 3 0 3 4 3 3 9 3 3 3 3 0 3 4 3 3 9 3 Output: 3 3 3 0 3 4 3 3 9 3 3 3 3 0 3 4 3 3 9 3 3 3 3 2 3 8 3 3 6 3 3 3 3 0 3 4 3 3 9 3 3 3 3 0 3 4 3 3 9 3 3 3 3 2 3 8 3 3 6 3 3 3 3 0 3 4 3 3 9 3 3 3 3 0 3 4 3 3 9 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 0 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 0 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 6 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 6 3 3 3 2 3 4 3 3 8 3 3 9 3 0 3 3 3 0 3 2 3 3 0 3 3 4 3 6 3 3 3 0 3 2 3 3 0 3 3 4 3 6 3
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "3 3 2 3 4 3 3 8 3 3 9 3 0 3\n3 3 0 3 2 3 3 0 3 3 4 3 6 3\n3 3 2 3 4 3 3 8 3 3 9 3 0 3\n3 3 2 3 4 3 3 8 3 3 9 3 0 3\n3 3 0 3 2 3 3 0 3 3 4 3 6 3\n3 3 2 3 4 3 3 8 3 3 9 3 0 3\n3 3 0 3 2 3 3 0 3 3 4 3 6 3\n3 3 2 3 4 3 3 8 3 3 9 3 0 3\n3 3 0 3 2 3 3 0 3 3 4 3 6 3\n3 3 0 3 2 3 3 0 3 3 4 3 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:\n3 3 3 3 3 3 3 3 3 3 0 3\n3 3 3 3 3 3 3 3 3 3 8 3\n3 3 3 3 3 3 3 3 3 3 0 3\n3 3 3 3 3 3 3 3 3 3 8 3\n3 3 3 3 3 3 3 3 3 3 8 3\n3 3 3 3 3 3 3 3 3 3 0 3\n3 3 3 1 3 6 3 9 3 3 8 3\n3 3 3 2 3 4 3 6 3 3 0 3\nOutput:\n3 3 3 2 3 4 3 6 3 3 0 3\n3 3 3 1 3 6 3 9 3 3 8 3\n3 3 3 2 3 4 3 6 3 3 0 3\n3 3 3 1 3 6 3 9 3 3 8 3\n3 3 3 1 3 6 3 9 3 3 8 3\n3 3 3 2 3 4 3 6 3 3 0 3\n3 3 3 1 3 6 3 9 3 3 8 3\n3 3 3 2 3 4 3 6 3 3 0 3\n\nExample 2:\n\nInput:\n3 3 3 3 3 3 3 3 0 3\n3 3 3 3 3 3 3 3 0 3\n3 3 3 3 3 3 3 3 6 3\n3 3 3 3 3 3 3 3 0 3\n3 3 3 3 3 3 3 3 6 3\n3 3 6 3 3 3 0 3 0 3\n3 3 4 3 3 3 9 3 6 3\n3 3 4 3 3 3 9 3 6 3\nOutput:\n3 3 6 3 3 3 0 3 0 3\n3 3 6 3 3 3 0 3 0 3\n3 3 4 3 3 3 9 3 6 3\n3 3 6 3 3 3 0 3 0 3\n3 3 4 3 3 3 9 3 6 3\n3 3 6 3 3 3 0 3 0 3\n3 3 4 3 3 3 9 3 6 3\n3 3 4 3 3 3 9 3 6 3\n\nExample 3:\n\nInput:\n3 3 3 3 9 3\n3 3 3 3 8 3\n3 3 3 3 9 3\n3 3 3 3 8 3\n3 3 3 3 8 3\n3 6 3 3 8 3\n3 4 3 3 9 3\n3 4 3 3 9 3\nOutput:\n3 4 3 3 9 3\n3 6 3 3 8 3\n3 4 3 3 9 3\n3 6 3 3 8 3\n3 6 3 3 8 3\n3 6 3 3 8 3\n3 4 3 3 9 3\n3 4 3 3 9 3\n\nExample 4:\n\nInput:\n3 3 3 3 3 3 3 3 9 3\n3 3 3 3 3 3 3 3 9 3\n3 3 3 3 3 3 3 3 6 3\n3 3 3 3 3 3 3 3 9 3\n3 3 3 3 3 3 3 3 9 3\n3 3 3 2 3 8 3 3 6 3\n3 3 3 0 3 4 3 3 9 3\n3 3 3 0 3 4 3 3 9 3\nOutput:\n3 3 3 0 3 4 3 3 9 3\n3 3 3 0 3 4 3 3 9 3\n3 3 3 2 3 8 3 3 6 3\n3 3 3 0 3 4 3 3 9 3\n3 3 3 0 3 4 3 3 9 3\n3 3 3 2 3 8 3 3 6 3\n3 3 3 0 3 4 3 3 9 3\n3 3 3 0 3 4 3 3 9 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 0 3\n3 3 3 3 3 3 3 3 3 3 3 3 6 3\n3 3 3 3 3 3 3 3 3 3 3 3 0 3\n3 3 3 3 3 3 3 3 3 3 3 3 0 3\n3 3 3 3 3 3 3 3 3 3 3 3 6 3\n3 3 3 3 3 3 3 3 3 3 3 3 0 3\n3 3 3 3 3 3 3 3 3 3 3 3 6 3\n3 3 2 3 4 3 3 8 3 3 9 3 0 3\n3 3 0 3 2 3 3 0 3 3 4 3 6 3\n3 3 0 3 2 3 3 0 3 3 4 3 6 3\n", "answer": "3 3 2 3 4 3 3 8 3 3 9 3 0 3\n3 3 0 3 2 3 3 0 3 3 4 3 6 3\n3 3 2 3 4 3 3 8 3 3 9 3 0 3\n3 3 2 3 4 3 3 8 3 3 9 3 0 3\n3 3 0 3 2 3 3 0 3 3 4 3 6 3\n3 3 2 3 4 3 3 8 3 3 9 3 0 3\n3 3 0 3 2 3 3 0 3 3 4 3 6 3\n3 3 2 3 4 3 3 8 3 3 9 3 0 3\n3 3 0 3 2 3 3 0 3 3 4 3 6 3\n3 3 0 3 2 3 3 0 3 3 4 3 6 3", "metadata": {"source_dataset": "arc_agi", "source_index": 108, "input": [[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, 6, 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, 0, 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, 0, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3], [3, 3, 2, 3, 4, 3, 3, 8, 3, 3, 9, 3, 0, 3], [3, 3, 0, 3, 2, 3, 3, 0, 3, 3, 4, 3, 6, 3], [3, 3, 0, 3, 2, 3, 3, 0, 3, 3, 4, 3, 6, 3]], "output": [[3, 3, 2, 3, 4, 3, 3, 8, 3, 3, 9, 3, 0, 3], [3, 3, 0, 3, 2, 3, 3, 0, 3, 3, 4, 3, 6, 3], [3, 3, 2, 3, 4, 3, 3, 8, 3, 3, 9, 3, 0, 3], [3, 3, 2, 3, 4, 3, 3, 8, 3, 3, 9, 3, 0, 3], [3, 3, 0, 3, 2, 3, 3, 0, 3, 3, 4, 3, 6, 3], [3, 3, 2, 3, 4, 3, 3, 8, 3, 3, 9, 3, 0, 3], [3, 3, 0, 3, 2, 3, 3, 0, 3, 3, 4, 3, 6, 3], [3, 3, 2, 3, 4, 3, 3, 8, 3, 3, 9, 3, 0, 3], [3, 3, 0, 3, 2, 3, 3, 0, 3, 3, 4, 3, 6, 3], [3, 3, 0, 3, 2, 3, 3, 0, 3, 3, 4, 3, 6, 3]], "task_id": "82819916", "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": 108, "input": [[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, 6, 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, 0, 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, 0, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3], [3, 3, 2, 3, 4, 3, 3, 8, 3, 3, 9, 3, 0, 3], [3, 3, 0, 3, 2, 3, 3, 0, 3, 3, 4, 3, 6, 3], [3, 3, 0, 3, 2, 3, 3, 0, 3, 3, 4, 3, 6, 3]], "output": [[3, 3, 2, 3, 4, 3, 3, 8, 3, 3, 9, 3, 0, 3], [3, 3, 0, 3, 2, 3, 3, 0, 3, 3, 4, 3, 6, 3], [3, 3, 2, 3, 4, 3, 3, 8, 3, 3, 9, 3, 0, 3], [3, 3, 2, 3, 4, 3, 3, 8, 3, 3, 9, 3, 0, 3], [3, 3, 0, 3, 2, 3, 3, 0, 3, 3, 4, 3, 6, 3], [3, 3, 2, 3, 4, 3, 3, 8, 3, 3, 9, 3, 0, 3], [3, 3, 0, 3, 2, 3, 3, 0, 3, 3, 4, 3, 6, 3], [3, 3, 2, 3, 4, 3, 3, 8, 3, 3, 9, 3, 0, 3], [3, 3, 0, 3, 2, 3, 3, 0, 3, 3, 4, 3, 6, 3], [3, 3, 0, 3, 2, 3, 3, 0, 3, 3, 4, 3, 6, 3]], "task_id": "82819916", "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 4 4 4 4 8 4 8 4 3 1 1 1 8 1 1 4 1 1 1 1 1 1 4 1 1 4 1 1 1 4 8 4 4 3 4 4 4 8 4 1 1 1 8 1 1 4 1 1 1 1 1 1 4 1 1 3 1 1 1 4 3 4 4 4 3 4 4 8 8 1 1 1 3 1 1 4 1 1 1 1 1 1 4 1 1 4 1 1 1 4 8 4 4 3 4 4 3 4 4 Output: 3 4 4 4 4 8 4 8 4 3 8 8 8 8 8 8 4 8 8 8 8 8 8 4 8 8 4 8 8 8 4 8 4 4 3 4 4 4 8 4 8 8 8 8 3 3 4 8 8 8 8 8 8 4 3 3 3 8 8 8 4 3 4 4 4 3 4 4 8 8 3 3 3 3 3 3 4 8 8 8 3 3 3 4 3 3 4 8 8 8 4 8 4 4 3 4 4 3 4 4 Example 2: Input: 3 4 4 4 8 4 4 3 4 3 1 1 4 1 1 1 4 1 1 1 1 1 8 1 1 1 4 1 1 1 1 1 4 1 1 1 4 1 1 1 4 8 4 4 4 4 4 4 8 4 1 1 4 1 1 1 4 1 1 1 1 1 4 1 1 1 3 1 1 1 1 1 4 1 1 1 4 1 1 1 1 1 4 1 1 1 4 1 1 1 8 4 4 3 4 4 4 4 8 4 Output: 3 4 4 4 8 4 4 3 4 3 8 8 4 8 8 8 4 3 3 3 8 8 8 8 8 8 4 3 3 3 8 8 4 8 8 8 4 3 3 3 4 8 4 4 4 4 4 4 8 4 8 8 4 3 3 3 4 8 8 8 8 8 4 3 3 3 3 8 8 8 8 8 4 3 3 3 4 8 8 8 8 8 4 3 3 3 4 8 8 8 8 4 4 3 4 4 4 4 8 4 Example 3: Input: 8 4 4 4 4 3 4 4 4 8 1 1 4 1 1 1 1 4 1 1 1 1 3 1 1 1 1 3 1 1 1 1 4 1 1 1 1 4 1 1 1 1 4 1 1 1 1 4 1 1 3 4 4 4 8 4 4 4 3 4 1 1 4 1 1 1 1 4 1 1 1 1 8 1 1 1 1 4 1 1 1 1 4 1 1 1 1 4 1 1 3 4 4 4 4 8 4 4 4 3 Output: 8 4 4 4 4 3 4 4 4 8 3 3 4 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 4 3 3 3 3 4 3 3 3 3 4 3 3 3 4 4 4 8 4 4 4 3 4 3 3 4 8 8 8 8 4 3 3 3 3 8 8 8 8 8 4 3 3 3 3 4 8 8 8 8 4 3 3 3 4 4 4 4 8 4 4 4 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 3 4 4 4 4 4 4 3 4 1 1 1 1 4 1 1 4 1 1 1 1 1 1 3 1 1 4 1 1 4 3 8 4 4 3 4 4 4 4 1 1 1 1 8 1 1 8 1 1 1 1 1 1 4 1 1 4 1 1 4 8 3 4 4 8 4 4 4 8 1 1 1 1 8 1 1 3 1 1 1 1 1 1 4 1 1 4 1 1 3 4 4 3 4 4 4 4 8 4
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "4 3 4 4 4 4 4 4 3 4\n3 3 3 3 4 3 3 4 3 3\n3 3 3 3 3 3 3 4 3 3\n4 3 8 4 4 3 4 4 4 4\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 4 8 8 4 8 8\n4 8 3 4 4 8 4 4 4 8\n3 3 3 3 8 8 8 3 8 8\n3 3 3 3 4 8 8 4 8 8\n3 4 4 3 4 4 4 4 8 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:\n3 4 4 4 4 8 4 8 4 3\n1 1 1 8 1 1 4 1 1 1\n1 1 1 4 1 1 4 1 1 1\n4 8 4 4 3 4 4 4 8 4\n1 1 1 8 1 1 4 1 1 1\n1 1 1 4 1 1 3 1 1 1\n4 3 4 4 4 3 4 4 8 8\n1 1 1 3 1 1 4 1 1 1\n1 1 1 4 1 1 4 1 1 1\n4 8 4 4 3 4 4 3 4 4\nOutput:\n3 4 4 4 4 8 4 8 4 3\n8 8 8 8 8 8 4 8 8 8\n8 8 8 4 8 8 4 8 8 8\n4 8 4 4 3 4 4 4 8 4\n8 8 8 8 3 3 4 8 8 8\n8 8 8 4 3 3 3 8 8 8\n4 3 4 4 4 3 4 4 8 8\n3 3 3 3 3 3 4 8 8 8\n3 3 3 4 3 3 4 8 8 8\n4 8 4 4 3 4 4 3 4 4\n\nExample 2:\n\nInput:\n3 4 4 4 8 4 4 3 4 3\n1 1 4 1 1 1 4 1 1 1\n1 1 8 1 1 1 4 1 1 1\n1 1 4 1 1 1 4 1 1 1\n4 8 4 4 4 4 4 4 8 4\n1 1 4 1 1 1 4 1 1 1\n1 1 4 1 1 1 3 1 1 1\n1 1 4 1 1 1 4 1 1 1\n1 1 4 1 1 1 4 1 1 1\n8 4 4 3 4 4 4 4 8 4\nOutput:\n3 4 4 4 8 4 4 3 4 3\n8 8 4 8 8 8 4 3 3 3\n8 8 8 8 8 8 4 3 3 3\n8 8 4 8 8 8 4 3 3 3\n4 8 4 4 4 4 4 4 8 4\n8 8 4 3 3 3 4 8 8 8\n8 8 4 3 3 3 3 8 8 8\n8 8 4 3 3 3 4 8 8 8\n8 8 4 3 3 3 4 8 8 8\n8 4 4 3 4 4 4 4 8 4\n\nExample 3:\n\nInput:\n8 4 4 4 4 3 4 4 4 8\n1 1 4 1 1 1 1 4 1 1\n1 1 3 1 1 1 1 3 1 1\n1 1 4 1 1 1 1 4 1 1\n1 1 4 1 1 1 1 4 1 1\n3 4 4 4 8 4 4 4 3 4\n1 1 4 1 1 1 1 4 1 1\n1 1 8 1 1 1 1 4 1 1\n1 1 4 1 1 1 1 4 1 1\n3 4 4 4 4 8 4 4 4 3\nOutput:\n8 4 4 4 4 3 4 4 4 8\n3 3 4 3 3 3 3 4 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 4 3 3 3 3 4 3 3\n3 3 4 3 3 3 3 4 3 3\n3 4 4 4 8 4 4 4 3 4\n3 3 4 8 8 8 8 4 3 3\n3 3 8 8 8 8 8 4 3 3\n3 3 4 8 8 8 8 4 3 3\n3 4 4 4 4 8 4 4 4 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 3 4 4 4 4 4 4 3 4\n1 1 1 1 4 1 1 4 1 1\n1 1 1 1 3 1 1 4 1 1\n4 3 8 4 4 3 4 4 4 4\n1 1 1 1 8 1 1 8 1 1\n1 1 1 1 4 1 1 4 1 1\n4 8 3 4 4 8 4 4 4 8\n1 1 1 1 8 1 1 3 1 1\n1 1 1 1 4 1 1 4 1 1\n3 4 4 3 4 4 4 4 8 4\n", "answer": "4 3 4 4 4 4 4 4 3 4\n3 3 3 3 4 3 3 4 3 3\n3 3 3 3 3 3 3 4 3 3\n4 3 8 4 4 3 4 4 4 4\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 4 8 8 4 8 8\n4 8 3 4 4 8 4 4 4 8\n3 3 3 3 8 8 8 3 8 8\n3 3 3 3 4 8 8 4 8 8\n3 4 4 3 4 4 4 4 8 4", "metadata": {"source_dataset": "arc_agi", "source_index": 109, "input": [[4, 3, 4, 4, 4, 4, 4, 4, 3, 4], [1, 1, 1, 1, 4, 1, 1, 4, 1, 1], [1, 1, 1, 1, 3, 1, 1, 4, 1, 1], [4, 3, 8, 4, 4, 3, 4, 4, 4, 4], [1, 1, 1, 1, 8, 1, 1, 8, 1, 1], [1, 1, 1, 1, 4, 1, 1, 4, 1, 1], [4, 8, 3, 4, 4, 8, 4, 4, 4, 8], [1, 1, 1, 1, 8, 1, 1, 3, 1, 1], [1, 1, 1, 1, 4, 1, 1, 4, 1, 1], [3, 4, 4, 3, 4, 4, 4, 4, 8, 4]], "output": [[4, 3, 4, 4, 4, 4, 4, 4, 3, 4], [3, 3, 3, 3, 4, 3, 3, 4, 3, 3], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3], [4, 3, 8, 4, 4, 3, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 4, 8, 8, 4, 8, 8], [4, 8, 3, 4, 4, 8, 4, 4, 4, 8], [3, 3, 3, 3, 8, 8, 8, 3, 8, 8], [3, 3, 3, 3, 4, 8, 8, 4, 8, 8], [3, 4, 4, 3, 4, 4, 4, 4, 8, 4]], "task_id": "7c8af763", "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": 109, "input": [[4, 3, 4, 4, 4, 4, 4, 4, 3, 4], [1, 1, 1, 1, 4, 1, 1, 4, 1, 1], [1, 1, 1, 1, 3, 1, 1, 4, 1, 1], [4, 3, 8, 4, 4, 3, 4, 4, 4, 4], [1, 1, 1, 1, 8, 1, 1, 8, 1, 1], [1, 1, 1, 1, 4, 1, 1, 4, 1, 1], [4, 8, 3, 4, 4, 8, 4, 4, 4, 8], [1, 1, 1, 1, 8, 1, 1, 3, 1, 1], [1, 1, 1, 1, 4, 1, 1, 4, 1, 1], [3, 4, 4, 3, 4, 4, 4, 4, 8, 4]], "output": [[4, 3, 4, 4, 4, 4, 4, 4, 3, 4], [3, 3, 3, 3, 4, 3, 3, 4, 3, 3], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3], [4, 3, 8, 4, 4, 3, 4, 4, 4, 4], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 4, 8, 8, 4, 8, 8], [4, 8, 3, 4, 4, 8, 4, 4, 4, 8], [3, 3, 3, 3, 8, 8, 8, 3, 8, 8], [3, 3, 3, 3, 4, 8, 8, 4, 8, 8], [3, 4, 4, 3, 4, 4, 4, 4, 8, 4]], "task_id": "7c8af763", "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 7 5 7 7 7 5 5 5 1 5 1 1 1 5 5 1 Output: 6 5 5 5 5 5 5 6 5 Example 2: Input: 7 5 5 5 5 7 5 5 5 1 5 5 1 5 1 5 1 5 Output: 5 6 6 5 6 5 6 5 6 Example 3: Input: 7 5 5 7 5 5 7 5 7 5 5 1 5 1 1 1 5 1 Output: 5 6 5 5 5 5 5 6 5 Example 4: Input: 7 5 7 7 7 7 5 5 5 5 1 1 5 1 1 5 1 5 Output: 5 5 5 5 5 5 6 5 6 Example 5: Input: 7 7 7 5 5 7 5 7 5 1 1 1 5 1 1 5 1 1 Output: 5 5 5 6 5 5 6 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: 7 5 5 5 7 5 5 7 7 1 5 1 5 5 1 1 5 1
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 6 5\n6 5 5\n5 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 7\n5 7 7\n7 5 5\n5 1 5\n1 1 1\n5 5 1\nOutput:\n6 5 5\n5 5 5\n5 6 5\n\nExample 2:\n\nInput:\n7 5 5\n5 5 7\n5 5 5\n1 5 5\n1 5 1\n5 1 5\nOutput:\n5 6 6\n5 6 5\n6 5 6\n\nExample 3:\n\nInput:\n7 5 5\n7 5 5\n7 5 7\n5 5 1\n5 1 1\n1 5 1\nOutput:\n5 6 5\n5 5 5\n5 6 5\n\nExample 4:\n\nInput:\n7 5 7\n7 7 7\n5 5 5\n5 1 1\n5 1 1\n5 1 5\nOutput:\n5 5 5\n5 5 5\n6 5 6\n\nExample 5:\n\nInput:\n7 7 7\n5 5 7\n5 7 5\n1 1 1\n5 1 1\n5 1 1\nOutput:\n5 5 5\n6 5 5\n6 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:\n7 5 5\n5 7 5\n5 7 7\n1 5 1\n5 5 1\n1 5 1\n", "answer": "5 6 5\n6 5 5\n5 5 5", "metadata": {"source_dataset": "arc_agi", "source_index": 110, "input": [[7, 5, 5], [5, 7, 5], [5, 7, 7], [1, 5, 1], [5, 5, 1], [1, 5, 1]], "output": [[5, 6, 5], [6, 5, 5], [5, 5, 5]], "task_id": "fafffa47", "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": 110, "input": [[7, 5, 5], [5, 7, 5], [5, 7, 7], [1, 5, 1], [5, 5, 1], [1, 5, 1]], "output": [[5, 6, 5], [6, 5, 5], [5, 5, 5]], "task_id": "fafffa47", "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 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 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 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 2 0 2 2 0 0 0 0 0 8 8 8 8 8 8 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 2 0 2 5 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 5 0 2 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 Example 2: Input: 0 0 0 0 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 0 Output: 0 0 0 0 8 8 8 8 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 2 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 5 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 8 8 8 8 0 Example 3: Input: 0 0 0 0 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 0 Output: 0 0 0 0 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 5 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 5 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 8 8 8 8 8 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 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 8 0
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "0 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 5 2 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 5 0 2 2 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 0 0 8 8 8 8 8 8 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 8 8 8 8 8 8 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\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 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 2 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 2 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 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0\nOutput:\n0 0 2 0 2 2 0 0 0 0 0 8 8 8 8 8 8 0 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 2 0 2 2 0 0 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 2 0 2 2 0 0 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 2 0 2 5 0 0 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 2 0 2 0 0 0 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 5 0 2 0 0 0 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 0 0 2 0 0 0 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 0 0 5 0 0 0 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0\n\nExample 2:\n\nInput:\n0 0 0 0 8 8 8 8 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\n0 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 2 0 0 0\n0 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\n0 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 8 8 8 8 0\nOutput:\n0 0 0 0 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 5 0 0 0\n0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0\n0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0\n0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0\n0 0 0 0 0 2 0 0 0 0 0 0 0 0 8 8 8 8 0\n\nExample 3:\n\nInput:\n0 0 0 0 8 8 8 8 8 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 2 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 2 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\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 0 0 0 0 0 0 0 0 8 8 8 8 8 0\nOutput:\n0 0 0 0 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 5 0 0\n0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 0\n0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 5 0 2 0 0\n0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 2 0 0\n0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 2 0 0\n0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 2 0 0\n0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 2 0 2 0 0\n0 0 0 0 0 2 0 2 0 0 0 0 0 0 8 8 8 8 8 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 8 8 8 8 8 8 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 0\n0 0 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 2 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0\n0 0 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 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 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 0\n0 0 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 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 0\n", "answer": "0 8 8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 5 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 5 2 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 5 0 2 2 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0\n0 0 2 0 2 2 0 0 0 0 0 0 0 0 8 8 8 8 8 8 0", "metadata": {"source_dataset": "arc_agi", "source_index": 111, "input": [[0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 8, 8, 8, 0]], "output": [[0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 2, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 2, 2, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0]], "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": 111, "input": [[0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 8, 8, 8, 0]], "output": [[0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 2, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 2, 2, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0], [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0]], "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]}}
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 0 4 0 0 0 4 4 4 0 4 4 7 7 7 7 0 0 0 6 0 6 6 0 0 0 6 6 Output: 0 9 0 0 9 0 0 0 0 9 0 0 Example 2: Input: 0 0 4 0 0 4 4 0 0 4 0 4 7 7 7 7 6 0 6 6 0 6 0 6 0 0 0 0 Output: 0 9 0 0 9 0 0 0 9 0 9 0 Example 3: Input: 0 4 0 0 4 0 0 0 4 4 4 4 7 7 7 7 0 0 0 0 0 0 0 6 0 0 6 6 Output: 9 0 9 9 0 9 9 0 0 0 0 0 Example 4: Input: 0 0 0 0 4 0 0 0 4 4 0 4 7 7 7 7 6 0 0 0 6 6 0 6 0 6 0 6 Output: 0 9 9 9 0 0 9 0 0 0 9 0 Example 5: Input: 4 4 0 0 4 4 0 4 4 4 4 0 7 7 7 7 6 0 6 0 6 0 0 0 6 0 0 6 Output: 0 0 0 9 0 0 9 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: 4 0 0 0 4 0 4 4 4 4 4 0 7 7 7 7 0 0 6 0 0 0 6 0 6 0 6 0
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "0 9 0 9\n0 9 0 0\n0 0 0 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 0 4 0\n0 0 4 4\n4 0 4 4\n7 7 7 7\n0 0 0 6\n0 6 6 0\n0 0 6 6\nOutput:\n0 9 0 0\n9 0 0 0\n0 9 0 0\n\nExample 2:\n\nInput:\n0 0 4 0\n0 4 4 0\n0 4 0 4\n7 7 7 7\n6 0 6 6\n0 6 0 6\n0 0 0 0\nOutput:\n0 9 0 0\n9 0 0 0\n9 0 9 0\n\nExample 3:\n\nInput:\n0 4 0 0\n4 0 0 0\n4 4 4 4\n7 7 7 7\n0 0 0 0\n0 0 0 6\n0 0 6 6\nOutput:\n9 0 9 9\n0 9 9 0\n0 0 0 0\n\nExample 4:\n\nInput:\n0 0 0 0\n4 0 0 0\n4 4 0 4\n7 7 7 7\n6 0 0 0\n6 6 0 6\n0 6 0 6\nOutput:\n0 9 9 9\n0 0 9 0\n0 0 9 0\n\nExample 5:\n\nInput:\n4 4 0 0\n4 4 0 4\n4 4 4 0\n7 7 7 7\n6 0 6 0\n6 0 0 0\n6 0 0 6\nOutput:\n0 0 0 9\n0 0 9 0\n0 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:\n4 0 0 0\n4 0 4 4\n4 4 4 0\n7 7 7 7\n0 0 6 0\n0 0 6 0\n6 0 6 0\n", "answer": "0 9 0 9\n0 9 0 0\n0 0 0 9", "metadata": {"source_dataset": "arc_agi", "source_index": 112, "input": [[4, 0, 0, 0], [4, 0, 4, 4], [4, 4, 4, 0], [7, 7, 7, 7], [0, 0, 6, 0], [0, 0, 6, 0], [6, 0, 6, 0]], "output": [[0, 9, 0, 9], [0, 9, 0, 0], [0, 0, 0, 9]], "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": 112, "input": [[4, 0, 0, 0], [4, 0, 4, 4], [4, 4, 4, 0], [7, 7, 7, 7], [0, 0, 6, 0], [0, 0, 6, 0], [6, 0, 6, 0]], "output": [[0, 9, 0, 9], [0, 9, 0, 0], [0, 0, 0, 9]], "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]}}
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 9 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 9 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 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 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 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 0 0 0 0 0 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 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 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 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 9
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "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\n0 0 7 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 7 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 9 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 9 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 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:\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\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 9 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 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 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 9\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 7 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\n0 0 0 0 0 0 9 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 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 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 9\n\nExample 2:\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 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\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 9 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 9 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 9 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 7 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 7 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 7 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 7 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 9 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 9 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 9 0\n0 0 0 0 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\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\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 9 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 9 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 9\n", "answer": "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\n0 0 7 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 7 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 9 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 9 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 9", "metadata": {"source_dataset": "arc_agi", "source_index": 113, "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], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 9]], "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, 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, 0, 0], [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, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 9]], "task_id": "0b17323b", "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": 113, "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], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 9]], "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, 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, 0, 0], [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, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 9]], "task_id": "0b17323b", "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 5 5 5 5 5 5 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 2 5 5 5 2 8 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 2 6 2 5 5 5 5 2 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 5 5 5 5 5 5 5 5 5 5 2 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 2 9 2 5 5 5 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 2 2 5 5 5 3 3 3 3 3 3 3 3 8 3 3 5 5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 5 5 2 2 2 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 5 5 2 4 2 5 5 5 5 5 5 3 3 3 3 9 3 3 3 3 3 3 5 5 2 5 2 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 3 3 4 3 3 3 3 6 3 3 3 5 5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 5 5 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 Output: 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 2 8 2 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 2 9 2 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 2 2 2 3 3 3 2 3 3 3 3 2 4 2 3 3 2 6 2 3 3 3 2 3 2 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Example 2: Input: 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 8 8 8 8 8 8 5 5 5 5 5 5 8 8 8 8 8 8 9 8 8 8 8 8 5 5 5 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 5 5 5 8 8 3 8 8 8 8 8 8 8 8 8 5 5 5 5 5 5 8 8 8 8 8 8 8 8 8 4 8 8 5 5 5 5 5 5 8 8 8 8 8 8 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 2 2 2 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 5 5 5 5 2 2 2 5 5 5 5 2 2 5 5 5 5 2 3 2 5 5 5 5 5 5 5 5 5 2 4 5 5 5 5 5 2 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 5 5 5 5 5 5 5 5 5 5 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: 8 8 8 8 8 2 2 2 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 2 2 2 8 8 8 8 8 2 3 2 8 8 8 8 2 2 8 8 8 8 2 8 8 8 8 8 2 4 8 8 8 8 8 8 8 8 8 8 8 8 2 8 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 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 2 3 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 2 5 5 5 5 5 2 5 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 2 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 2 5 2 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 2 5 2 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 9 2 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 2 2 2 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 9 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 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 Output: 4 4 4 4 4 4 4 2 4 4 4 4 2 3 2 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 2 4 4 4 4 9 2 4 4 4 2 2 2 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: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 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 6 2 5 5 5 5 5 5 2 2 5 5 5 5 5 5 5 5 5 5 5 5 5 2 2 5 5 5 5 5 5 5 2 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 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 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 2 3 2 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 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 5 5 5 5 5 5 5 5 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 5 5 2 2 5 5 5 5 9 9 9 3 9 9 9 9 9 9 9 9 6 9 9 5 5 5 5 4 2 5 5 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 5 5 5 2 2 5 5 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 5 5 5 5 5 5 5 5 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 5 5 5 5 5 5 5 5 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 5 5 5 5 5 5 5 5 9 8 9 9 9 9 9 9 9 9 9 9 9 4 9 5 5 5 5 5 5 5 5 5 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 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 2 8 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 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 5 5
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 2 9 9 9 9 9 9 9 9 9 9 9\n9 9 2 3 2 9 9 9 9 9 9 2 6 2 9\n9 9 9 2 9 9 9 9 9 9 9 2 2 9 9\n9 9 9 9 9 9 9 9 2 2 9 9 9 9 9\n9 9 9 9 9 9 9 9 2 0 9 9 9 9 9\n9 2 2 9 9 9 9 9 9 9 2 9 2 2 9\n2 8 2 9 9 9 9 9 9 9 9 9 9 4 2\n2 2 9 9 9 9 9 9 9 9 9 9 9 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:\n5 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 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 2 5 5 5 2 8 2 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 2 6 2 5 5 5 5 2 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 2 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 5\n5 5 5 5 2 9 2 5 5 5 3 3 3 3 3 3 3 3 3 3 3 5\n5 5 5 5 5 2 2 5 5 5 3 3 3 3 3 3 3 3 8 3 3 5\n5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 5\n5 2 2 2 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 5\n5 2 4 2 5 5 5 5 5 5 3 3 3 3 9 3 3 3 3 3 3 5\n5 2 5 2 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 5\n5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 5\n5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 5\n5 5 5 5 5 5 5 5 5 5 3 3 4 3 3 3 3 6 3 3 3 5\n5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 5\n5 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\nOutput:\n3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 2 3 3 3\n3 3 3 3 3 3 3 2 8 2 3\n3 3 3 3 3 3 3 3 3 2 3\n3 3 3 3 2 3 3 3 3 3 3\n3 3 3 2 9 2 3 3 3 3 3\n3 3 3 3 2 2 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3\n3 2 2 2 3 3 3 2 3 3 3\n3 2 4 2 3 3 2 6 2 3 3\n3 2 3 2 3 3 3 2 3 3 3\n3 3 3 3 3 3 3 3 3 3 3\n\nExample 2:\n\nInput:\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 5 5\n5 8 8 8 8 8 8 9 8 8 8 8 8 5 5 5 5 5\n5 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 5 5\n5 8 8 3 8 8 8 8 8 8 8 8 8 5 5 5 5 5\n5 8 8 8 8 8 8 8 8 8 4 8 8 5 5 5 5 5\n5 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 5 5\n5 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 2 2 2 5\n5 5 5 5 5 5 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 5 2 2 2 5\n5 5 5 2 2 5 5 5 5 2 3 2 5 5 5 5 5 5\n5 5 5 2 4 5 5 5 5 5 2 5 5 5 5 5 5 5\n5 5 5 5 5 2 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\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\nOutput:\n8 8 8 8 8 2 2 2 8 8 8 8\n8 8 8 8 8 8 9 8 8 8 8 8\n8 8 8 8 8 2 2 2 8 8 8 8\n8 2 3 2 8 8 8 8 2 2 8 8\n8 8 2 8 8 8 8 8 2 4 8 8\n8 8 8 8 8 8 8 8 8 8 2 8\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\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 2 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 2 3 2 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 2 5 5 5 5 5 2 5 2 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 2 5\n5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 2 5 2 5\n5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 4 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 4 4 4 4 4 4 5 5 5 5 2 5 2 5 5 5 5 5 5\n5 4 4 4 4 4 4 5 5 5 5 5 9 2 5 5 5 5 5 5\n5 4 4 4 4 4 4 5 5 5 5 2 2 2 5 5 5 5 5 5\n5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 4 4 4 9 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 4 4 4 4 4 4 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\nOutput:\n4 4 4 4 4 4\n4 2 4 4 4 4\n2 3 2 4 4 4\n2 4 4 4 4 4\n4 4 4 4 4 4\n4 4 4 4 4 4\n4 4 2 4 2 4\n4 4 4 9 2 4\n4 4 2 2 2 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:\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 2 6 2 5 5 5 5 5 5 2 2 5 5 5 5 5 5 5 5 5 5 5\n5 5 2 2 5 5 5 5 5 5 5 2 0 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 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 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 2 3 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 2 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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 5 5 5 5 5 5 5\n5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 5 5 2 2 5 5 5\n5 9 9 9 3 9 9 9 9 9 9 9 9 6 9 9 5 5 5 5 4 2 5 5\n5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 5 5 5 2 2 5 5\n5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 5 5 5 5 5 5 5\n5 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 5 5 5 5 5 5 5 5\n5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 5 5 5 5 5 5 5\n5 9 8 9 9 9 9 9 9 9 9 9 9 9 4 9 5 5 5 5 5 5 5 5\n5 9 9 9 9 9 9 9 9 9 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 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 2 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 2 8 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 2 2 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", "answer": "9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 2 9 9 9 9 9 9 9 9 9 9 9\n9 9 2 3 2 9 9 9 9 9 9 2 6 2 9\n9 9 9 2 9 9 9 9 9 9 9 2 2 9 9\n9 9 9 9 9 9 9 9 2 2 9 9 9 9 9\n9 9 9 9 9 9 9 9 2 0 9 9 9 9 9\n9 2 2 9 9 9 9 9 9 9 2 9 2 2 9\n2 8 2 9 9 9 9 9 9 9 9 9 9 4 2\n2 2 9 9 9 9 9 9 9 9 9 9 9 2 2", "metadata": {"source_dataset": "arc_agi", "source_index": 114, "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, 2, 6, 2, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 2, 2, 5, 5, 5, 5, 5, 5, 5, 2, 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, 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, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 2, 3, 2, 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, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 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, 5, 5, 5, 5, 5, 5, 5, 5], [5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 2, 2, 5, 5, 5], [5, 9, 9, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 6, 9, 9, 5, 5, 5, 5, 4, 2, 5, 5], [5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 2, 2, 5, 5], [5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5], [5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5], [5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5], [5, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 9, 5, 5, 5, 5, 5, 5, 5, 5], [5, 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, 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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 2, 8, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 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, 5, 5]], "output": [[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, 2, 3, 2, 9, 9, 9, 9, 9, 9, 2, 6, 2, 9], [9, 9, 9, 2, 9, 9, 9, 9, 9, 9, 9, 2, 2, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 2, 0, 9, 9, 9, 9, 9], [9, 2, 2, 9, 9, 9, 9, 9, 9, 9, 2, 9, 2, 2, 9], [2, 8, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 2], [2, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2]], "task_id": "414297c0", "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": 114, "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, 2, 6, 2, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 2, 2, 5, 5, 5, 5, 5, 5, 5, 2, 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, 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, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 2, 3, 2, 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, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 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, 5, 5, 5, 5, 5, 5, 5, 5], [5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 2, 2, 5, 5, 5], [5, 9, 9, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 6, 9, 9, 5, 5, 5, 5, 4, 2, 5, 5], [5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 2, 2, 5, 5], [5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5], [5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5], [5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5], [5, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 9, 5, 5, 5, 5, 5, 5, 5, 5], [5, 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, 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, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 2, 8, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 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, 5, 5]], "output": [[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, 2, 3, 2, 9, 9, 9, 9, 9, 9, 2, 6, 2, 9], [9, 9, 9, 2, 9, 9, 9, 9, 9, 9, 9, 2, 2, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 2, 2, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 2, 0, 9, 9, 9, 9, 9], [9, 2, 2, 9, 9, 9, 9, 9, 9, 9, 2, 9, 2, 2, 9], [2, 8, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4, 2], [2, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 2]], "task_id": "414297c0", "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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 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 6 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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 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 6 7 7 4 4 4 7 7 7 7 7 7 7 7 7 6 4 6 9 9 4 6 4 7 7 7 7 7 7 7 7 7 6 6 6 7 7 4 4 4 7 7 7 7 7 7 7 7 7 7 9 7 7 7 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 9 7 7 7 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 9 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 4 4 4 7 7 6 6 6 7 7 7 7 7 7 7 7 7 4 6 4 9 9 6 4 6 7 7 7 7 7 7 7 7 7 4 4 4 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 Example 2: Input: 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 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 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 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 Output: 7 7 7 7 0 0 0 7 7 7 6 6 6 7 7 7 7 7 0 6 0 9 7 9 6 0 6 7 7 7 7 7 0 0 0 7 7 7 6 6 6 7 7 7 7 7 7 9 7 7 7 7 7 9 7 7 7 7 7 7 7 9 7 7 7 7 7 9 7 7 7 7 7 7 6 6 6 7 7 7 0 0 0 7 7 7 7 7 6 0 6 9 7 9 0 6 0 7 7 7 7 7 6 6 6 7 7 7 0 0 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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 7 7 7 7 7 7 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 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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 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 Output: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 0 0 7 7 7 7 7 7 7 3 3 3 7 7 7 7 0 3 0 9 7 9 7 9 7 9 3 0 3 7 7 7 7 0 0 0 7 7 7 7 7 7 7 3 3 3 7 7 7 7 7 9 7 7 7 7 7 7 7 7 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 9 7 7 7 7 7 7 7 7 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 7 9 7 7 7 7 7 7 7 7 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 9 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 3 3 3 7 7 7 7 7 7 7 0 0 0 7 7 7 7 3 0 3 9 7 9 7 9 7 9 0 3 0 7 7 7 7 3 3 3 7 7 7 7 7 7 7 0 0 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Example 4: 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 4 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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 5 5 5 7 7 7 7 7 7 7 7 4 4 4 7 7 7 5 4 5 9 7 9 7 7 9 7 9 4 5 4 7 7 7 5 5 5 7 7 7 7 7 7 7 7 4 4 4 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 7 7 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 7 7 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 4 4 4 7 7 7 7 7 7 7 7 5 5 5 7 7 7 4 5 4 9 7 9 7 7 9 7 9 5 4 5 7 7 7 4 4 4 7 7 7 7 7 7 7 7 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 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 5 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 3 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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\n3 3 3 7 7 7 7 7 7 7 7 5 5 5 7 7 7\n3 5 3 9 7 9 7 7 9 7 9 5 3 5 7 7 7\n3 3 3 7 7 7 7 7 7 7 7 5 5 5 7 7 7\n7 9 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 9 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 9 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 9 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7\n5 5 5 7 7 7 7 7 7 7 7 3 3 3 7 7 7\n5 3 5 9 7 9 7 7 9 7 9 3 5 3 7 7 7\n5 5 5 7 7 7 7 7 7 7 7 3 3 3 7 7 7\n7 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\n7 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", "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\n7 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\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 4 7 7 7 7 6 7 7 7\n7 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\n7 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\n7 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\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 6 7 7 7 7 4 7 7 7\n7 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\n7 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\n7 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\n7 7 7 7 7 7 7 6 6 6 7 7 4 4 4 7 7\n7 7 7 7 7 7 7 6 4 6 9 9 4 6 4 7 7\n7 7 7 7 7 7 7 6 6 6 7 7 4 4 4 7 7\n7 7 7 7 7 7 7 7 9 7 7 7 7 9 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 9 7 7 7 7 9 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 9 7 7 7 7 9 7 7 7\n7 7 7 7 7 7 7 4 4 4 7 7 6 6 6 7 7\n7 7 7 7 7 7 7 4 6 4 9 9 6 4 6 7 7\n7 7 7 7 7 7 7 4 4 4 7 7 6 6 6 7 7\n7 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\n\nExample 2:\n\nInput:\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 6 7 7 7 7 7 0 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\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 0 7 7 7 7 7 6 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\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\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\nOutput:\n7 7 7 7 0 0 0 7 7 7 6 6 6 7\n7 7 7 7 0 6 0 9 7 9 6 0 6 7\n7 7 7 7 0 0 0 7 7 7 6 6 6 7\n7 7 7 7 7 9 7 7 7 7 7 9 7 7\n7 7 7 7 7 9 7 7 7 7 7 9 7 7\n7 7 7 7 6 6 6 7 7 7 0 0 0 7\n7 7 7 7 6 0 6 9 7 9 0 6 0 7\n7 7 7 7 6 6 6 7 7 7 0 0 0 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\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 3:\n\nInput:\n7 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\n7 7 7 3 7 7 7 7 7 7 7 7 7 0 7 7 7\n7 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\n7 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\n7 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\n7 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\n7 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\n7 7 7 0 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\n7 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\n7 7 0 0 0 7 7 7 7 7 7 7 3 3 3 7 7\n7 7 0 3 0 9 7 9 7 9 7 9 3 0 3 7 7\n7 7 0 0 0 7 7 7 7 7 7 7 3 3 3 7 7\n7 7 7 9 7 7 7 7 7 7 7 7 7 9 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 9 7 7 7 7 7 7 7 7 7 9 7 7 7\n7 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\n7 7 7 9 7 7 7 7 7 7 7 7 7 9 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 9 7 7 7 7 7 7 7 7 7 9 7 7 7\n7 7 3 3 3 7 7 7 7 7 7 7 0 0 0 7 7\n7 7 3 0 3 9 7 9 7 9 7 9 0 3 0 7 7\n7 7 3 3 3 7 7 7 7 7 7 7 0 0 0 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n\nExample 4:\n\nInput:\n7 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\n7 7 4 7 7 7 7 7 7 7 7 7 7 5 7 7 7\n7 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\n7 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\n7 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\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 5 7 7 7 7 7 7 7 7 7 7 4 7 7 7\n7 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\n7 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\n7 5 5 5 7 7 7 7 7 7 7 7 4 4 4 7 7\n7 5 4 5 9 7 9 7 7 9 7 9 4 5 4 7 7\n7 5 5 5 7 7 7 7 7 7 7 7 4 4 4 7 7\n7 7 9 7 7 7 7 7 7 7 7 7 7 9 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 9 7 7 7 7 7 7 7 7 7 7 9 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 9 7 7 7 7 7 7 7 7 7 7 9 7 7 7\n7 4 4 4 7 7 7 7 7 7 7 7 5 5 5 7 7\n7 4 5 4 9 7 9 7 7 9 7 9 5 4 5 7 7\n7 4 4 4 7 7 7 7 7 7 7 7 5 5 5 7 7\n7 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\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\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 5 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7\n7 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\n7 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\n7 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\n7 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\n7 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 5 7 7 7 7\n7 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\n7 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\n7 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\n3 3 3 7 7 7 7 7 7 7 7 5 5 5 7 7 7\n3 5 3 9 7 9 7 7 9 7 9 5 3 5 7 7 7\n3 3 3 7 7 7 7 7 7 7 7 5 5 5 7 7 7\n7 9 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 9 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 9 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 9 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7\n5 5 5 7 7 7 7 7 7 7 7 3 3 3 7 7 7\n5 3 5 9 7 9 7 7 9 7 9 3 5 3 7 7 7\n5 5 5 7 7 7 7 7 7 7 7 3 3 3 7 7 7\n7 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\n7 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", "metadata": {"source_dataset": "arc_agi", "source_index": 115, "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, 5, 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, 3, 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, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 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], [3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 7, 7, 7], [3, 5, 3, 9, 7, 9, 7, 7, 9, 7, 9, 5, 3, 5, 7, 7, 7], [3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 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, 7, 7, 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, 7, 7, 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, 7, 7, 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], [5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 7, 7, 7], [5, 3, 5, 9, 7, 9, 7, 7, 9, 7, 9, 3, 5, 3, 7, 7, 7], [5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 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]], "task_id": "f35d900a", "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": 115, "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, 5, 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, 3, 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, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 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], [3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 7, 7, 7], [3, 5, 3, 9, 7, 9, 7, 7, 9, 7, 9, 5, 3, 5, 7, 7, 7], [3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 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, 7, 7, 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, 7, 7, 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, 7, 7, 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], [5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 3, 7, 7, 7], [5, 3, 5, 9, 7, 9, 7, 7, 9, 7, 9, 3, 5, 3, 7, 7, 7], [5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 3, 3, 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]], "task_id": "f35d900a", "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 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 Output: 8 8 8 5 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 7 5 5 5 4 8 8 8 8 8 7 8 8 8 4 8 8 8 8 8 7 8 9 4 4 8 8 8 8 8 7 8 8 8 4 8 8 8 8 8 7 5 5 5 4 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 5 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 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 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 5 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 7 5 5 5 4 8 8 8 8 8 5 8 8 8 8 8 7 8 8 8 4 8 8 8 8 8 5 8 8 8 8 8 7 8 9 4 4 8 8 8 8 8 5 8 8 8 8 8 7 8 8 8 4 8 8 8 8 8 5 8 8 8 8 8 7 5 5 5 4 8 8 8 8 8 5 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 7 5 5 5 4 8 5 8 8 8 8 8 8 8 8 8 7 8 8 8 4 8 5 8 8 8 8 8 8 8 8 8 7 8 9 4 4 8 5 8 8 8 8 8 8 8 8 8 7 8 8 8 4 8 5 8 8 8 8 8 8 8 8 8 7 5 5 5 4 8 5 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 5 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 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 5 8 8 8 8 5 8 8 8 8 5 8 8 8 8 8\n8 5 8 8 8 8 5 8 8 8 8 5 8 8 8 8 8\n8 5 8 8 8 8 5 8 8 8 8 5 8 8 8 8 8\n8 5 8 8 8 8 5 8 8 8 8 5 8 8 8 8 8\n8 5 8 8 8 8 5 8 8 8 8 5 8 8 8 8 8\n8 5 8 8 8 8 7 5 5 5 4 5 8 8 8 8 8\n8 5 8 8 8 8 7 8 8 8 4 5 8 8 8 8 8\n8 5 8 8 8 8 7 8 9 4 4 5 8 8 8 8 8\n8 5 8 8 8 8 7 8 8 8 4 5 8 8 8 8 8\n8 5 8 8 8 8 7 5 5 5 4 5 8 8 8 8 8\n8 7 5 5 5 4 5 8 8 8 8 5 8 8 8 8 8\n8 7 8 8 8 4 5 8 8 8 8 5 8 8 8 8 8\n8 7 8 9 4 4 5 8 8 8 8 7 5 5 5 4 8\n8 7 8 8 8 4 5 8 8 8 8 7 8 8 8 4 8\n8 7 5 5 5 4 5 8 8 8 8 7 8 9 4 4 8\n8 5 8 8 8 8 5 8 8 8 8 7 8 8 8 4 8\n8 5 8 8 8 8 5 8 8 8 8 7 5 5 5 4 8\n8 5 8 8 8 8 5 8 8 8 8 5 8 8 8 8 8\n8 5 8 8 8 8 5 8 8 8 8 5 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 8 8 8 8 8 8\n8 8 8 8 8 9 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\nOutput:\n8 8 8 5 8 8 8 8 8 8\n8 8 8 5 8 8 8 8 8 8\n8 8 8 5 8 8 8 8 8 8\n8 8 8 7 5 5 5 4 8 8\n8 8 8 7 8 8 8 4 8 8\n8 8 8 7 8 9 4 4 8 8\n8 8 8 7 8 8 8 4 8 8\n8 8 8 7 5 5 5 4 8 8\n8 8 8 5 8 8 8 8 8 8\n8 8 8 5 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\n8 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\n8 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 9 8 8 8 8\n8 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\n8 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\n8 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\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 9 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\n8 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\nOutput:\n8 8 8 5 8 8 8 8 8 5 8 8 8 8 8 8\n8 8 8 5 8 8 8 8 8 5 8 8 8 8 8 8\n8 8 8 5 8 8 8 8 8 7 5 5 5 4 8 8\n8 8 8 5 8 8 8 8 8 7 8 8 8 4 8 8\n8 8 8 5 8 8 8 8 8 7 8 9 4 4 8 8\n8 8 8 5 8 8 8 8 8 7 8 8 8 4 8 8\n8 8 8 5 8 8 8 8 8 7 5 5 5 4 8 8\n8 8 8 5 8 8 8 8 8 5 8 8 8 8 8 8\n8 8 8 5 8 8 8 8 8 5 8 8 8 8 8 8\n8 8 8 5 8 8 8 8 8 5 8 8 8 8 8 8\n8 8 8 7 5 5 5 4 8 5 8 8 8 8 8 8\n8 8 8 7 8 8 8 4 8 5 8 8 8 8 8 8\n8 8 8 7 8 9 4 4 8 5 8 8 8 8 8 8\n8 8 8 7 8 8 8 4 8 5 8 8 8 8 8 8\n8 8 8 7 5 5 5 4 8 5 8 8 8 8 8 8\n8 8 8 5 8 8 8 8 8 5 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 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\n8 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\n8 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\n8 8 8 8 8 8 8 8 9 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\n8 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\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 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 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8\n8 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\n8 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\n", "answer": "8 5 8 8 8 8 5 8 8 8 8 5 8 8 8 8 8\n8 5 8 8 8 8 5 8 8 8 8 5 8 8 8 8 8\n8 5 8 8 8 8 5 8 8 8 8 5 8 8 8 8 8\n8 5 8 8 8 8 5 8 8 8 8 5 8 8 8 8 8\n8 5 8 8 8 8 5 8 8 8 8 5 8 8 8 8 8\n8 5 8 8 8 8 7 5 5 5 4 5 8 8 8 8 8\n8 5 8 8 8 8 7 8 8 8 4 5 8 8 8 8 8\n8 5 8 8 8 8 7 8 9 4 4 5 8 8 8 8 8\n8 5 8 8 8 8 7 8 8 8 4 5 8 8 8 8 8\n8 5 8 8 8 8 7 5 5 5 4 5 8 8 8 8 8\n8 7 5 5 5 4 5 8 8 8 8 5 8 8 8 8 8\n8 7 8 8 8 4 5 8 8 8 8 5 8 8 8 8 8\n8 7 8 9 4 4 5 8 8 8 8 7 5 5 5 4 8\n8 7 8 8 8 4 5 8 8 8 8 7 8 8 8 4 8\n8 7 5 5 5 4 5 8 8 8 8 7 8 9 4 4 8\n8 5 8 8 8 8 5 8 8 8 8 7 8 8 8 4 8\n8 5 8 8 8 8 5 8 8 8 8 7 5 5 5 4 8\n8 5 8 8 8 8 5 8 8 8 8 5 8 8 8 8 8\n8 5 8 8 8 8 5 8 8 8 8 5 8 8 8 8 8", "metadata": {"source_dataset": "arc_agi", "source_index": 116, "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, 8, 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, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 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, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 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, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 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, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8], [8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8], [8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8], [8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8], [8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8], [8, 5, 8, 8, 8, 8, 7, 5, 5, 5, 4, 5, 8, 8, 8, 8, 8], [8, 5, 8, 8, 8, 8, 7, 8, 8, 8, 4, 5, 8, 8, 8, 8, 8], [8, 5, 8, 8, 8, 8, 7, 8, 9, 4, 4, 5, 8, 8, 8, 8, 8], [8, 5, 8, 8, 8, 8, 7, 8, 8, 8, 4, 5, 8, 8, 8, 8, 8], [8, 5, 8, 8, 8, 8, 7, 5, 5, 5, 4, 5, 8, 8, 8, 8, 8], [8, 7, 5, 5, 5, 4, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8], [8, 7, 8, 8, 8, 4, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8], [8, 7, 8, 9, 4, 4, 5, 8, 8, 8, 8, 7, 5, 5, 5, 4, 8], [8, 7, 8, 8, 8, 4, 5, 8, 8, 8, 8, 7, 8, 8, 8, 4, 8], [8, 7, 5, 5, 5, 4, 5, 8, 8, 8, 8, 7, 8, 9, 4, 4, 8], [8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 7, 8, 8, 8, 4, 8], [8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 7, 5, 5, 5, 4, 8], [8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8], [8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8]], "task_id": "3f23242b", "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": 116, "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, 8, 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, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 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, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 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, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 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, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8], [8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8], [8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8], [8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8], [8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8], [8, 5, 8, 8, 8, 8, 7, 5, 5, 5, 4, 5, 8, 8, 8, 8, 8], [8, 5, 8, 8, 8, 8, 7, 8, 8, 8, 4, 5, 8, 8, 8, 8, 8], [8, 5, 8, 8, 8, 8, 7, 8, 9, 4, 4, 5, 8, 8, 8, 8, 8], [8, 5, 8, 8, 8, 8, 7, 8, 8, 8, 4, 5, 8, 8, 8, 8, 8], [8, 5, 8, 8, 8, 8, 7, 5, 5, 5, 4, 5, 8, 8, 8, 8, 8], [8, 7, 5, 5, 5, 4, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8], [8, 7, 8, 8, 8, 4, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8], [8, 7, 8, 9, 4, 4, 5, 8, 8, 8, 8, 7, 5, 5, 5, 4, 8], [8, 7, 8, 8, 8, 4, 5, 8, 8, 8, 8, 7, 8, 8, 8, 4, 8], [8, 7, 5, 5, 5, 4, 5, 8, 8, 8, 8, 7, 8, 9, 4, 4, 8], [8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 7, 8, 8, 8, 4, 8], [8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 7, 5, 5, 5, 4, 8], [8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8], [8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 5, 8, 8, 8, 8, 8]], "task_id": "3f23242b", "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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 3 1 1 1 1 1 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 1 1 1 3 3 3 3 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 1 1 1 1 1 1 1 1 9 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 9 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 9 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 9 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 1 1 1 1 1 1 1 1 1 1 3 1 9 1 3 1 9 9 9 9 9 9 9 9 9 3 9 9 9 3 9 1 1 1 1 1 1 1 1 1 3 1 9 1 3 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 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 9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9 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 1 1 1 1 3 3 3 3 3 1 1 1 1 1 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3 1 1 1 1 1 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 1 1 1 3 3 3 3 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 1 1 Output: 1 1 1 9 1 1 1 1 1 9 1 1 1 1 1 1 1 1 9 1 1 1 1 1 9 1 1 1 1 1 1 3 3 3 3 3 1 1 1 9 1 1 1 1 1 1 3 1 9 1 3 1 1 1 9 1 1 1 1 1 9 3 9 9 9 3 9 9 9 9 9 9 9 9 9 1 3 1 9 1 3 1 1 1 9 1 1 1 1 1 1 3 3 3 3 3 1 1 1 9 1 1 1 1 1 1 1 1 9 1 1 1 3 3 3 3 3 1 1 1 1 1 1 9 1 1 1 3 1 9 1 3 1 1 1 9 9 9 9 9 9 9 3 9 9 9 3 9 9 9 1 1 1 9 1 1 1 3 1 9 1 3 1 1 1 1 1 1 9 1 1 1 3 3 3 3 3 1 1 1 1 1 1 9 1 1 1 1 1 9 1 1 1 1 1 1 1 1 9 1 1 1 1 1 9 1 1 1 1 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: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 3 1 1 1 1 1 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 1 1 1 3 1 1 1 3 1 1 3 3 3 3 3 1 1 1 3 1 1 1 3 1 1 3 1 1 1 3 1 1 1 3 3 3 3 3 1 1 3 1 1 1 3 1 1 1 1 1 1 1 1 1 1 3 1 1 1 3 1 1 1 1 1 1 1 1 1 1 3 3 3 3 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 1 1 1 1 1 1 1 1
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 1 1 9 1 1 1 1 1 1 1 9 1 1 1\n1 1 1 9 1 1 1 1 1 1 1 9 1 1 1\n1 1 1 9 1 1 1 1 1 1 1 9 1 1 1\n1 1 1 9 1 1 1 1 1 1 1 9 1 1 1\n1 1 1 9 1 1 1 1 1 3 3 3 3 3 1\n1 1 1 9 1 1 1 1 1 3 1 9 1 3 1\n9 9 9 9 9 9 9 9 9 3 9 9 9 3 9\n1 3 3 3 3 3 1 1 1 3 1 9 1 3 1\n1 3 1 9 1 3 1 1 1 3 3 3 3 3 1\n9 3 9 9 9 3 9 9 9 9 9 9 9 9 9\n1 3 1 9 1 3 1 1 1 1 1 9 1 1 1\n1 3 3 3 3 3 1 1 1 1 1 9 1 1 1\n1 1 1 9 1 1 1 1 1 1 1 9 1 1 1\n1 1 1 9 1 1 1 1 1 1 1 9 1 1 1\n1 1 1 9 1 1 1 1 1 1 1 9 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\n1 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\n1 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\n1 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\n1 1 1 1 1 1 1 1 1 3 3 3 3 3 1\n1 1 1 1 1 1 1 1 1 3 1 1 1 3 1\n1 1 1 1 1 1 1 1 1 3 1 1 1 3 1\n1 1 1 1 1 1 1 1 1 3 1 1 1 3 1\n1 1 1 1 1 1 1 1 1 3 3 3 3 3 1\n1 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\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\nOutput:\n1 1 1 1 1 1 1 1 1 1 1 9 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 9 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 9 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 9 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 9 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 9 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 9 1 1 1\n1 1 1 1 1 1 1 1 1 3 3 3 3 3 1\n1 1 1 1 1 1 1 1 1 3 1 9 1 3 1\n9 9 9 9 9 9 9 9 9 3 9 9 9 3 9\n1 1 1 1 1 1 1 1 1 3 1 9 1 3 1\n1 1 1 1 1 1 1 1 1 3 3 3 3 3 1\n1 1 1 1 1 1 1 1 1 1 1 9 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 9 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 9 1 1 1\n\nExample 2:\n\nInput:\n1 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\n1 3 3 3 3 3 1 1 1 1 1 1 1 1 1\n1 3 1 1 1 3 1 1 1 1 1 1 1 1 1\n1 3 1 1 1 3 1 1 1 1 1 1 1 1 1\n1 3 1 1 1 3 1 1 1 1 1 1 1 1 1\n1 3 3 3 3 3 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 3 3 3 3 3 1 1 1\n1 1 1 1 1 1 1 3 1 1 1 3 1 1 1\n1 1 1 1 1 1 1 3 1 1 1 3 1 1 1\n1 1 1 1 1 1 1 3 1 1 1 3 1 1 1\n1 1 1 1 1 1 1 3 3 3 3 3 1 1 1\n1 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\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\nOutput:\n1 1 1 9 1 1 1 1 1 9 1 1 1 1 1\n1 1 1 9 1 1 1 1 1 9 1 1 1 1 1\n1 3 3 3 3 3 1 1 1 9 1 1 1 1 1\n1 3 1 9 1 3 1 1 1 9 1 1 1 1 1\n9 3 9 9 9 3 9 9 9 9 9 9 9 9 9\n1 3 1 9 1 3 1 1 1 9 1 1 1 1 1\n1 3 3 3 3 3 1 1 1 9 1 1 1 1 1\n1 1 1 9 1 1 1 3 3 3 3 3 1 1 1\n1 1 1 9 1 1 1 3 1 9 1 3 1 1 1\n9 9 9 9 9 9 9 3 9 9 9 3 9 9 9\n1 1 1 9 1 1 1 3 1 9 1 3 1 1 1\n1 1 1 9 1 1 1 3 3 3 3 3 1 1 1\n1 1 1 9 1 1 1 1 1 9 1 1 1 1 1\n1 1 1 9 1 1 1 1 1 9 1 1 1 1 1\n1 1 1 9 1 1 1 1 1 9 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\n1 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\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 3 3 3 3 3 1\n1 1 1 1 1 1 1 1 1 3 1 1 1 3 1\n1 1 1 1 1 1 1 1 1 3 1 1 1 3 1\n1 3 3 3 3 3 1 1 1 3 1 1 1 3 1\n1 3 1 1 1 3 1 1 1 3 3 3 3 3 1\n1 3 1 1 1 3 1 1 1 1 1 1 1 1 1\n1 3 1 1 1 3 1 1 1 1 1 1 1 1 1\n1 3 3 3 3 3 1 1 1 1 1 1 1 1 1\n1 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\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", "answer": "1 1 1 9 1 1 1 1 1 1 1 9 1 1 1\n1 1 1 9 1 1 1 1 1 1 1 9 1 1 1\n1 1 1 9 1 1 1 1 1 1 1 9 1 1 1\n1 1 1 9 1 1 1 1 1 1 1 9 1 1 1\n1 1 1 9 1 1 1 1 1 3 3 3 3 3 1\n1 1 1 9 1 1 1 1 1 3 1 9 1 3 1\n9 9 9 9 9 9 9 9 9 3 9 9 9 3 9\n1 3 3 3 3 3 1 1 1 3 1 9 1 3 1\n1 3 1 9 1 3 1 1 1 3 3 3 3 3 1\n9 3 9 9 9 3 9 9 9 9 9 9 9 9 9\n1 3 1 9 1 3 1 1 1 1 1 9 1 1 1\n1 3 3 3 3 3 1 1 1 1 1 9 1 1 1\n1 1 1 9 1 1 1 1 1 1 1 9 1 1 1\n1 1 1 9 1 1 1 1 1 1 1 9 1 1 1\n1 1 1 9 1 1 1 1 1 1 1 9 1 1 1", "metadata": {"source_dataset": "arc_agi", "source_index": 117, "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, 3, 3, 3, 3, 3, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1], [1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1], [1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1], [1, 3, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 3, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 3, 3, 3, 3, 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, 1, 1, 1, 1, 1, 1, 1, 1]], "output": [[1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1], [1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1], [1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1], [1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1], [1, 1, 1, 9, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1], [1, 1, 1, 9, 1, 1, 1, 1, 1, 3, 1, 9, 1, 3, 1], [9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 3, 9], [1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 1, 9, 1, 3, 1], [1, 3, 1, 9, 1, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1], [9, 3, 9, 9, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9], [1, 3, 1, 9, 1, 3, 1, 1, 1, 1, 1, 9, 1, 1, 1], [1, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 9, 1, 1, 1], [1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1], [1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1], [1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1]], "task_id": "41e4d17e", "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": 117, "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, 3, 3, 3, 3, 3, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1], [1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 1, 1, 1, 3, 1], [1, 3, 1, 1, 1, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1], [1, 3, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 3, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 3, 3, 3, 3, 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, 1, 1, 1, 1, 1, 1, 1, 1]], "output": [[1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1], [1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1], [1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1], [1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1], [1, 1, 1, 9, 1, 1, 1, 1, 1, 3, 3, 3, 3, 3, 1], [1, 1, 1, 9, 1, 1, 1, 1, 1, 3, 1, 9, 1, 3, 1], [9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 3, 9], [1, 3, 3, 3, 3, 3, 1, 1, 1, 3, 1, 9, 1, 3, 1], [1, 3, 1, 9, 1, 3, 1, 1, 1, 3, 3, 3, 3, 3, 1], [9, 3, 9, 9, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9], [1, 3, 1, 9, 1, 3, 1, 1, 1, 1, 1, 9, 1, 1, 1], [1, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 9, 1, 1, 1], [1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1], [1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1], [1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1]], "task_id": "41e4d17e", "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 0 0 0 0 0 0 0 0 0 0 0 0 3 4 3 3 3 3 3 3 3 3 3 3 3 3 1 4 3 2 3 3 3 3 3 3 3 5 3 3 1 4 3 3 3 3 3 3 0 3 3 3 3 3 1 4 3 3 3 5 3 3 3 3 3 3 3 3 1 4 3 3 3 3 3 3 3 3 3 3 3 3 1 4 3 3 3 3 3 3 3 3 5 3 3 3 1 4 3 3 3 3 3 3 3 3 3 3 3 3 1 4 3 3 4 3 3 3 3 3 3 3 3 3 1 4 3 3 3 3 3 3 3 3 3 3 3 3 1 3 5 5 5 5 5 5 5 5 5 5 5 5 3 Output: 3 0 0 0 0 0 0 0 0 0 0 0 0 3 4 3 3 3 3 3 3 0 3 3 3 3 3 1 4 3 3 3 3 3 3 3 3 3 3 3 3 1 4 3 3 3 3 3 3 3 3 3 3 3 3 1 4 3 3 3 3 3 3 3 3 3 3 3 3 1 4 3 3 3 3 3 3 3 3 3 3 3 3 1 4 3 3 3 3 3 3 3 3 3 3 3 3 1 4 3 3 3 3 3 3 3 3 3 3 3 3 1 4 4 3 3 3 3 3 3 3 3 3 3 3 1 4 3 3 3 5 3 3 3 3 5 5 3 3 1 3 5 5 5 5 5 5 5 5 5 5 5 5 3 Example 2: Input: 3 2 2 2 2 2 2 2 2 2 2 3 6 3 3 3 3 3 3 3 3 3 3 7 6 3 3 3 3 3 3 3 3 3 3 7 6 3 3 3 3 3 3 3 5 3 3 7 6 3 3 3 1 3 3 3 3 3 3 7 6 3 3 3 3 3 3 3 3 6 3 7 6 3 3 3 3 3 3 3 3 3 3 7 6 3 3 2 3 3 3 3 3 3 3 7 6 3 3 3 3 3 0 3 3 7 3 7 6 3 7 3 3 3 3 3 3 3 3 7 6 3 3 3 3 3 3 3 3 3 3 7 3 0 0 0 0 0 0 0 0 0 0 3 Output: 3 2 2 2 2 2 2 2 2 2 2 3 6 3 3 2 3 3 3 3 3 3 3 7 6 3 3 3 3 3 3 3 3 3 3 7 6 3 3 3 3 3 3 3 3 3 3 7 6 3 3 3 3 3 3 3 3 3 3 7 6 6 3 3 3 3 3 3 3 3 3 7 6 3 3 3 3 3 3 3 3 3 3 7 6 3 3 3 3 3 3 3 3 3 3 7 6 3 3 3 3 3 3 3 3 3 7 7 6 3 3 3 3 3 3 3 3 3 7 7 6 3 3 3 3 3 0 3 3 3 3 7 3 0 0 0 0 0 0 0 0 0 0 3 Example 3: Input: 3 2 2 2 2 2 2 2 2 3 0 3 3 3 3 3 3 3 3 5 0 3 3 3 3 3 3 3 3 5 0 3 3 2 3 1 3 3 3 5 0 3 3 3 3 3 3 3 3 5 0 3 3 3 3 3 5 3 3 5 0 3 3 3 3 3 3 3 3 5 0 3 3 3 7 3 3 3 3 5 0 3 3 3 3 3 3 3 3 5 0 3 3 3 3 3 3 0 3 5 0 3 1 3 3 3 3 3 3 5 0 3 3 3 3 3 3 2 3 5 0 3 3 3 3 3 3 3 3 5 0 3 3 3 3 3 3 3 3 5 3 1 1 1 1 1 1 1 1 3 Output: 3 2 2 2 2 2 2 2 2 3 0 3 3 2 3 3 3 2 3 5 0 3 3 3 3 3 3 3 3 5 0 3 3 3 3 3 3 3 3 5 0 3 3 3 3 3 3 3 3 5 0 3 3 3 3 3 3 3 5 5 0 3 3 3 3 3 3 3 3 5 0 3 3 3 3 3 3 3 3 5 0 3 3 3 3 3 3 3 3 5 0 0 3 3 3 3 3 3 3 5 0 3 3 3 3 3 3 3 3 5 0 3 3 3 3 3 3 3 3 5 0 3 3 3 3 3 3 3 3 5 0 3 1 3 3 1 3 3 3 5 3 1 1 1 1 1 1 1 1 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 6 6 6 6 6 6 6 6 6 6 6 6 3 0 3 3 3 3 3 3 3 3 3 3 3 3 5 0 3 3 3 3 3 3 3 3 3 3 3 3 5 0 3 3 2 3 3 3 3 3 3 5 3 3 5 0 3 3 3 3 3 3 2 3 3 3 3 3 5 0 3 3 3 3 3 3 3 3 4 3 3 3 5 0 3 3 3 3 6 3 3 3 3 3 3 3 5 0 3 5 3 3 3 3 3 3 3 3 3 3 5 0 3 3 3 3 3 3 3 3 0 3 3 3 5 0 3 3 3 3 3 3 3 3 3 3 3 3 5 0 3 3 3 3 7 3 3 3 3 3 3 3 5 0 3 3 3 3 3 3 3 3 3 6 3 3 5 0 3 6 3 3 3 3 3 3 3 3 3 3 5 0 3 3 3 3 5 3 3 3 3 3 3 3 5 0 3 3 1 3 3 3 3 3 0 3 3 3 5 0 3 3 3 3 3 3 3 3 3 3 3 3 5 3 2 2 2 2 2 2 2 2 2 2 2 2 3
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "3 6 6 6 6 6 6 6 6 6 6 6 6 3\n0 3 6 3 3 6 3 3 3 3 6 3 3 5\n0 3 3 3 3 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 3 3 3 5 5\n0 3 3 3 3 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 3 3 3 5 5\n0 0 3 3 3 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 3 3 3 5 5\n0 0 3 3 3 3 3 3 3 3 3 3 3 5\n0 3 3 2 3 3 3 2 3 3 3 3 3 5\n3 2 2 2 2 2 2 2 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 3\n4 3 3 3 3 3 3 3 3 3 3 3 3 1\n4 3 2 3 3 3 3 3 3 3 5 3 3 1\n4 3 3 3 3 3 3 0 3 3 3 3 3 1\n4 3 3 3 5 3 3 3 3 3 3 3 3 1\n4 3 3 3 3 3 3 3 3 3 3 3 3 1\n4 3 3 3 3 3 3 3 3 5 3 3 3 1\n4 3 3 3 3 3 3 3 3 3 3 3 3 1\n4 3 3 4 3 3 3 3 3 3 3 3 3 1\n4 3 3 3 3 3 3 3 3 3 3 3 3 1\n3 5 5 5 5 5 5 5 5 5 5 5 5 3\nOutput:\n3 0 0 0 0 0 0 0 0 0 0 0 0 3\n4 3 3 3 3 3 3 0 3 3 3 3 3 1\n4 3 3 3 3 3 3 3 3 3 3 3 3 1\n4 3 3 3 3 3 3 3 3 3 3 3 3 1\n4 3 3 3 3 3 3 3 3 3 3 3 3 1\n4 3 3 3 3 3 3 3 3 3 3 3 3 1\n4 3 3 3 3 3 3 3 3 3 3 3 3 1\n4 3 3 3 3 3 3 3 3 3 3 3 3 1\n4 4 3 3 3 3 3 3 3 3 3 3 3 1\n4 3 3 3 5 3 3 3 3 5 5 3 3 1\n3 5 5 5 5 5 5 5 5 5 5 5 5 3\n\nExample 2:\n\nInput:\n3 2 2 2 2 2 2 2 2 2 2 3\n6 3 3 3 3 3 3 3 3 3 3 7\n6 3 3 3 3 3 3 3 3 3 3 7\n6 3 3 3 3 3 3 3 5 3 3 7\n6 3 3 3 1 3 3 3 3 3 3 7\n6 3 3 3 3 3 3 3 3 6 3 7\n6 3 3 3 3 3 3 3 3 3 3 7\n6 3 3 2 3 3 3 3 3 3 3 7\n6 3 3 3 3 3 0 3 3 7 3 7\n6 3 7 3 3 3 3 3 3 3 3 7\n6 3 3 3 3 3 3 3 3 3 3 7\n3 0 0 0 0 0 0 0 0 0 0 3\nOutput:\n3 2 2 2 2 2 2 2 2 2 2 3\n6 3 3 2 3 3 3 3 3 3 3 7\n6 3 3 3 3 3 3 3 3 3 3 7\n6 3 3 3 3 3 3 3 3 3 3 7\n6 3 3 3 3 3 3 3 3 3 3 7\n6 6 3 3 3 3 3 3 3 3 3 7\n6 3 3 3 3 3 3 3 3 3 3 7\n6 3 3 3 3 3 3 3 3 3 3 7\n6 3 3 3 3 3 3 3 3 3 7 7\n6 3 3 3 3 3 3 3 3 3 7 7\n6 3 3 3 3 3 0 3 3 3 3 7\n3 0 0 0 0 0 0 0 0 0 0 3\n\nExample 3:\n\nInput:\n3 2 2 2 2 2 2 2 2 3\n0 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 5\n0 3 3 2 3 1 3 3 3 5\n0 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 5 3 3 5\n0 3 3 3 3 3 3 3 3 5\n0 3 3 3 7 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 0 3 5\n0 3 1 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 2 3 5\n0 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 5\n3 1 1 1 1 1 1 1 1 3\nOutput:\n3 2 2 2 2 2 2 2 2 3\n0 3 3 2 3 3 3 2 3 5\n0 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 5 5\n0 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 5\n0 0 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 5\n0 3 1 3 3 1 3 3 3 5\n3 1 1 1 1 1 1 1 1 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 6 6 6 6 6 6 6 6 6 6 6 6 3\n0 3 3 3 3 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 3 3 3 3 5\n0 3 3 2 3 3 3 3 3 3 5 3 3 5\n0 3 3 3 3 3 3 2 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 4 3 3 3 5\n0 3 3 3 3 6 3 3 3 3 3 3 3 5\n0 3 5 3 3 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 0 3 3 3 5\n0 3 3 3 3 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 7 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 3 6 3 3 5\n0 3 6 3 3 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 5 3 3 3 3 3 3 3 5\n0 3 3 1 3 3 3 3 3 0 3 3 3 5\n0 3 3 3 3 3 3 3 3 3 3 3 3 5\n3 2 2 2 2 2 2 2 2 2 2 2 2 3\n", "answer": "3 6 6 6 6 6 6 6 6 6 6 6 6 3\n0 3 6 3 3 6 3 3 3 3 6 3 3 5\n0 3 3 3 3 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 3 3 3 5 5\n0 3 3 3 3 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 3 3 3 5 5\n0 0 3 3 3 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 3 3 3 3 5\n0 3 3 3 3 3 3 3 3 3 3 3 5 5\n0 0 3 3 3 3 3 3 3 3 3 3 3 5\n0 3 3 2 3 3 3 2 3 3 3 3 3 5\n3 2 2 2 2 2 2 2 2 2 2 2 2 3", "metadata": {"source_dataset": "arc_agi", "source_index": 118, "input": [[3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 2, 3, 3, 3, 3, 3, 3, 5, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 5], [0, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 5], [0, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 1, 3, 3, 3, 3, 3, 0, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3]], "output": [[3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3], [0, 3, 6, 3, 3, 6, 3, 3, 3, 3, 6, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5], [0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5], [0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 5], [3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3]], "task_id": "d687bc17", "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": 118, "input": [[3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 2, 3, 3, 3, 3, 3, 3, 5, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 5], [0, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 5], [0, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 1, 3, 3, 3, 3, 3, 0, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3]], "output": [[3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3], [0, 3, 6, 3, 3, 6, 3, 3, 3, 3, 6, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5], [0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5], [0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5], [0, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 5], [3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3]], "task_id": "d687bc17", "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 1 1 1 5 5 1 5 5 5 5 5 5 5 5 5 5 1 1 5 5 1 1 1 5 5 5 5 5 7 1 1 5 1 5 5 1 7 5 1 5 5 1 5 5 7 5 5 5 1 5 5 1 7 Output: 5 5 5 1 1 1 5 5 1 5 5 5 5 5 5 5 5 5 5 1 1 5 5 1 1 1 7 5 5 5 5 5 1 1 5 1 5 5 1 7 5 1 5 5 1 7 5 5 5 5 5 1 5 5 1 7 Example 2: Input: 1 5 5 1 1 1 5 1 5 5 5 1 1 5 1 7 5 1 5 5 5 5 5 7 5 5 5 1 5 1 5 7 1 1 5 5 1 1 5 1 1 1 5 5 5 5 7 7 1 5 5 1 5 5 7 7 5 5 5 1 5 1 7 7 5 5 5 5 1 1 1 1 Output: 1 5 5 1 1 1 5 1 5 5 5 1 1 5 1 7 5 1 7 5 5 5 5 5 5 5 5 1 5 1 7 5 1 1 5 5 1 1 5 1 1 1 7 7 5 5 5 5 1 5 5 1 7 7 5 5 5 5 5 1 5 1 7 7 5 5 5 5 1 1 1 1 Example 3: Input: 5 1 5 1 1 5 1 5 1 5 7 7 5 5 5 5 7 7 5 5 1 5 1 5 1 5 5 5 5 1 5 5 1 5 5 1 5 5 5 1 5 5 Output: 5 1 5 1 1 5 1 5 1 7 7 5 7 7 5 5 5 5 5 5 1 5 1 5 1 5 5 5 5 1 5 5 1 5 5 1 5 5 5 1 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 1 5 1 5 1 1 1 5 5 1 1 1 5 5 5 5 5 5 5 1 5 1 1 5 7 7 1 5 5 5 5 5 5 7 7 5 1 5 1 5 5 5 7 7 5 1 5 5 5 5 5 7 7 5 1 1 5 1 1 5 5 1 1 1 1 5 5 1 1 5 1 5 1 1 1 1 1 1 5 1
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 1 5 1 5 1 1 1 5\n5 1 1 1 5 5 5 5 5\n5 5 1 5 1 1 7 7 5\n1 7 7 5 5 5 5 5 5\n5 1 5 1 7 7 5 5 5\n5 1 7 7 5 5 5 5 5\n5 1 1 5 1 1 5 5 1\n1 1 1 5 5 1 1 5 1\n5 1 1 1 1 1 1 5 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 5 5 1 1 1 5 5\n1 5 5 5 5 5 5 5\n5 5 5 1 1 5 5 1\n1 1 5 5 5 5 5 7\n1 1 5 1 5 5 1 7\n5 1 5 5 1 5 5 7\n5 5 5 1 5 5 1 7\nOutput:\n5 5 5 1 1 1 5 5\n1 5 5 5 5 5 5 5\n5 5 5 1 1 5 5 1\n1 1 7 5 5 5 5 5\n1 1 5 1 5 5 1 7\n5 1 5 5 1 7 5 5\n5 5 5 1 5 5 1 7\n\nExample 2:\n\nInput:\n1 5 5 1 1 1 5 1\n5 5 5 1 1 5 1 7\n5 1 5 5 5 5 5 7\n5 5 5 1 5 1 5 7\n1 1 5 5 1 1 5 1\n1 1 5 5 5 5 7 7\n1 5 5 1 5 5 7 7\n5 5 5 1 5 1 7 7\n5 5 5 5 1 1 1 1\nOutput:\n1 5 5 1 1 1 5 1\n5 5 5 1 1 5 1 7\n5 1 7 5 5 5 5 5\n5 5 5 1 5 1 7 5\n1 1 5 5 1 1 5 1\n1 1 7 7 5 5 5 5\n1 5 5 1 7 7 5 5\n5 5 5 1 5 1 7 7\n5 5 5 5 1 1 1 1\n\nExample 3:\n\nInput:\n5 1 5 1 1 5\n1 5 1 5 7 7\n5 5 5 5 7 7\n5 5 1 5 1 5\n1 5 5 5 5 1\n5 5 1 5 5 1\n5 5 5 1 5 5\nOutput:\n5 1 5 1 1 5\n1 5 1 7 7 5\n7 7 5 5 5 5\n5 5 1 5 1 5\n1 5 5 5 5 1\n5 5 1 5 5 1\n5 5 5 1 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 1 5 1 5 1 1 1 5\n5 1 1 1 5 5 5 5 5\n5 5 1 5 1 1 5 7 7\n1 5 5 5 5 5 5 7 7\n5 1 5 1 5 5 5 7 7\n5 1 5 5 5 5 5 7 7\n5 1 1 5 1 1 5 5 1\n1 1 1 5 5 1 1 5 1\n5 1 1 1 1 1 1 5 1\n", "answer": "5 1 5 1 5 1 1 1 5\n5 1 1 1 5 5 5 5 5\n5 5 1 5 1 1 7 7 5\n1 7 7 5 5 5 5 5 5\n5 1 5 1 7 7 5 5 5\n5 1 7 7 5 5 5 5 5\n5 1 1 5 1 1 5 5 1\n1 1 1 5 5 1 1 5 1\n5 1 1 1 1 1 1 5 1", "metadata": {"source_dataset": "arc_agi", "source_index": 119, "input": [[5, 1, 5, 1, 5, 1, 1, 1, 5], [5, 1, 1, 1, 5, 5, 5, 5, 5], [5, 5, 1, 5, 1, 1, 5, 7, 7], [1, 5, 5, 5, 5, 5, 5, 7, 7], [5, 1, 5, 1, 5, 5, 5, 7, 7], [5, 1, 5, 5, 5, 5, 5, 7, 7], [5, 1, 1, 5, 1, 1, 5, 5, 1], [1, 1, 1, 5, 5, 1, 1, 5, 1], [5, 1, 1, 1, 1, 1, 1, 5, 1]], "output": [[5, 1, 5, 1, 5, 1, 1, 1, 5], [5, 1, 1, 1, 5, 5, 5, 5, 5], [5, 5, 1, 5, 1, 1, 7, 7, 5], [1, 7, 7, 5, 5, 5, 5, 5, 5], [5, 1, 5, 1, 7, 7, 5, 5, 5], [5, 1, 7, 7, 5, 5, 5, 5, 5], [5, 1, 1, 5, 1, 1, 5, 5, 1], [1, 1, 1, 5, 5, 1, 1, 5, 1], [5, 1, 1, 1, 1, 1, 1, 5, 1]], "task_id": "9c56f360", "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": 119, "input": [[5, 1, 5, 1, 5, 1, 1, 1, 5], [5, 1, 1, 1, 5, 5, 5, 5, 5], [5, 5, 1, 5, 1, 1, 5, 7, 7], [1, 5, 5, 5, 5, 5, 5, 7, 7], [5, 1, 5, 1, 5, 5, 5, 7, 7], [5, 1, 5, 5, 5, 5, 5, 7, 7], [5, 1, 1, 5, 1, 1, 5, 5, 1], [1, 1, 1, 5, 5, 1, 1, 5, 1], [5, 1, 1, 1, 1, 1, 1, 5, 1]], "output": [[5, 1, 5, 1, 5, 1, 1, 1, 5], [5, 1, 1, 1, 5, 5, 5, 5, 5], [5, 5, 1, 5, 1, 1, 7, 7, 5], [1, 7, 7, 5, 5, 5, 5, 5, 5], [5, 1, 5, 1, 7, 7, 5, 5, 5], [5, 1, 7, 7, 5, 5, 5, 5, 5], [5, 1, 1, 5, 1, 1, 5, 5, 1], [1, 1, 1, 5, 5, 1, 1, 5, 1], [5, 1, 1, 1, 1, 1, 1, 5, 1]], "task_id": "9c56f360", "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 0 5 5 5 5 0 5 5 5 5 0 5 5 5 5 5 5 5 5 0 5 5 5 5 0 5 5 5 5 0 5 3 3 5 5 5 5 5 0 5 5 5 5 0 5 5 5 5 0 5 3 3 5 5 5 5 5 0 5 5 5 5 0 5 5 5 5 0 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 0 5 5 5 5 0 5 5 5 5 0 5 5 5 5 5 5 5 5 0 5 5 5 5 0 5 5 5 5 0 5 1 1 5 5 5 5 5 0 5 5 5 5 0 5 5 5 5 0 5 1 1 5 5 5 5 5 0 5 5 5 5 0 5 5 5 5 0 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 0 5 5 5 5 0 5 5 5 5 0 5 5 5 5 5 5 5 5 0 5 5 5 5 0 5 5 5 5 0 5 8 8 5 5 5 5 5 0 5 5 5 5 0 5 5 5 5 0 5 8 8 5 5 5 5 5 0 5 5 5 5 0 5 5 5 5 0 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 0 5 5 5 5 0 5 5 5 5 0 5 5 5 5 5 5 5 5 0 5 5 5 5 0 7 5 7 7 0 5 4 4 5 5 5 5 5 0 5 5 5 5 0 5 7 7 5 0 5 4 4 5 5 5 5 5 0 5 5 5 5 0 5 7 5 5 0 5 5 5 5 Output: 5 5 5 5 0 5 5 5 5 0 5 5 5 5 0 5 5 5 5 3 5 3 3 0 3 5 3 3 0 3 5 3 3 0 3 5 3 3 5 3 3 5 0 5 3 3 5 0 5 3 3 5 0 5 3 3 5 5 3 5 5 0 5 3 5 5 0 5 3 5 5 0 5 3 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 0 5 5 5 5 0 5 5 5 5 0 5 5 5 5 1 5 1 1 0 1 5 1 1 0 1 5 1 1 0 1 5 1 1 5 1 1 5 0 5 1 1 5 0 5 1 1 5 0 5 1 1 5 5 1 5 5 0 5 1 5 5 0 5 1 5 5 0 5 1 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 0 5 5 5 5 0 5 5 5 5 0 5 5 5 5 8 5 8 8 0 8 5 8 8 0 8 5 8 8 0 8 5 8 8 5 8 8 5 0 5 8 8 5 0 5 8 8 5 0 5 8 8 5 5 8 5 5 0 5 8 5 5 0 5 8 5 5 0 5 8 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 0 5 5 5 5 0 5 5 5 5 0 5 5 5 5 4 5 4 4 0 4 5 4 4 0 4 5 4 4 0 4 5 4 4 5 4 4 5 0 5 4 4 5 0 5 4 4 5 0 5 4 4 5 5 4 5 5 0 5 4 5 5 0 5 4 5 5 0 5 4 5 5 Example 2: Input: 5 5 5 5 8 5 9 9 5 8 5 5 5 5 5 5 5 5 8 5 9 5 5 8 5 1 1 5 5 5 5 5 8 9 9 9 9 8 5 1 1 5 5 5 5 5 8 5 5 9 5 8 5 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 5 8 5 5 5 5 8 5 5 5 5 5 5 5 5 8 5 5 5 5 8 5 0 0 5 5 5 5 5 8 5 5 5 5 8 5 0 0 5 5 5 5 5 8 5 5 5 5 8 5 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 5 8 5 5 5 5 8 5 5 5 5 5 5 5 5 8 5 5 5 5 8 5 4 4 5 5 5 5 5 8 5 5 5 5 8 5 4 4 5 5 5 5 5 8 5 5 5 5 8 5 5 5 5 Output: 5 1 1 5 8 5 1 1 5 8 5 1 1 5 5 1 5 5 8 5 1 5 5 8 5 1 5 5 1 1 1 1 8 1 1 1 1 8 1 1 1 1 5 5 1 5 8 5 5 1 5 8 5 5 1 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 0 0 5 8 5 0 0 5 8 5 0 0 5 5 0 5 5 8 5 0 5 5 8 5 0 5 5 0 0 0 0 8 0 0 0 0 8 0 0 0 0 5 5 0 5 8 5 5 0 5 8 5 5 0 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 4 4 5 8 5 4 4 5 8 5 4 4 5 5 4 5 5 8 5 4 5 5 8 5 4 5 5 4 4 4 4 8 4 4 4 4 8 4 4 4 4 5 5 4 5 8 5 5 4 5 8 5 5 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: 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 1 1 5 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 1 1 5 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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 5 5 5 9 5 5 5 5 9 5 4 5 5 9 5 5 5 5 9 5 5 5 5 5 5 5 5 9 5 5 5 5 9 4 4 4 4 9 5 5 5 5 9 5 0 0 5 5 5 5 5 9 5 5 5 5 9 5 4 4 5 9 5 5 5 5 9 5 0 0 5 5 5 5 5 9 5 5 5 5 9 5 4 5 5 9 5 5 5 5 9 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 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 3 3 5 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 3 3 5 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 9 9 9 9 9 9 9 9 9 9 9 9 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 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 7 7 5 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 7 7 5 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 9 9 9 9 9 9 9 9 9 9 9 9 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 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 6 6 5 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 6 6 5 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 1 5 5 9 5 1 5 5 9 5 1 5 5 9 5 1 5 5 9 5 1 5 5\n1 1 1 1 9 1 1 1 1 9 1 1 1 1 9 1 1 1 1 9 1 1 1 1\n5 1 1 5 9 5 1 1 5 9 5 1 1 5 9 5 1 1 5 9 5 1 1 5\n5 1 5 5 9 5 1 5 5 9 5 1 5 5 9 5 1 5 5 9 5 1 5 5\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n5 0 5 5 9 5 0 5 5 9 5 0 5 5 9 5 0 5 5 9 5 0 5 5\n0 0 0 0 9 0 0 0 0 9 0 0 0 0 9 0 0 0 0 9 0 0 0 0\n5 0 0 5 9 5 0 0 5 9 5 0 0 5 9 5 0 0 5 9 5 0 0 5\n5 0 5 5 9 5 0 5 5 9 5 0 5 5 9 5 0 5 5 9 5 0 5 5\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n5 3 5 5 9 5 3 5 5 9 5 3 5 5 9 5 3 5 5 9 5 3 5 5\n3 3 3 3 9 3 3 3 3 9 3 3 3 3 9 3 3 3 3 9 3 3 3 3\n5 3 3 5 9 5 3 3 5 9 5 3 3 5 9 5 3 3 5 9 5 3 3 5\n5 3 5 5 9 5 3 5 5 9 5 3 5 5 9 5 3 5 5 9 5 3 5 5\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n5 7 5 5 9 5 7 5 5 9 5 7 5 5 9 5 7 5 5 9 5 7 5 5\n7 7 7 7 9 7 7 7 7 9 7 7 7 7 9 7 7 7 7 9 7 7 7 7\n5 7 7 5 9 5 7 7 5 9 5 7 7 5 9 5 7 7 5 9 5 7 7 5\n5 7 5 5 9 5 7 5 5 9 5 7 5 5 9 5 7 5 5 9 5 7 5 5\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n5 6 5 5 9 5 6 5 5 9 5 6 5 5 9 5 6 5 5 9 5 6 5 5\n6 6 6 6 9 6 6 6 6 9 6 6 6 6 9 6 6 6 6 9 6 6 6 6\n5 6 6 5 9 5 6 6 5 9 5 6 6 5 9 5 6 6 5 9 5 6 6 5\n5 6 5 5 9 5 6 5 5 9 5 6 5 5 9 5 6 5 5 9 5 6 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 0 5 5 5 5 0 5 5 5 5 0 5 5 5 5\n5 5 5 5 0 5 5 5 5 0 5 5 5 5 0 5 3 3 5\n5 5 5 5 0 5 5 5 5 0 5 5 5 5 0 5 3 3 5\n5 5 5 5 0 5 5 5 5 0 5 5 5 5 0 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 0 5 5 5 5 0 5 5 5 5 0 5 5 5 5\n5 5 5 5 0 5 5 5 5 0 5 5 5 5 0 5 1 1 5\n5 5 5 5 0 5 5 5 5 0 5 5 5 5 0 5 1 1 5\n5 5 5 5 0 5 5 5 5 0 5 5 5 5 0 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 0 5 5 5 5 0 5 5 5 5 0 5 5 5 5\n5 5 5 5 0 5 5 5 5 0 5 5 5 5 0 5 8 8 5\n5 5 5 5 0 5 5 5 5 0 5 5 5 5 0 5 8 8 5\n5 5 5 5 0 5 5 5 5 0 5 5 5 5 0 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 0 5 5 5 5 0 5 5 5 5 0 5 5 5 5\n5 5 5 5 0 5 5 5 5 0 7 5 7 7 0 5 4 4 5\n5 5 5 5 0 5 5 5 5 0 5 7 7 5 0 5 4 4 5\n5 5 5 5 0 5 5 5 5 0 5 7 5 5 0 5 5 5 5\nOutput:\n5 5 5 5 0 5 5 5 5 0 5 5 5 5 0 5 5 5 5\n3 5 3 3 0 3 5 3 3 0 3 5 3 3 0 3 5 3 3\n5 3 3 5 0 5 3 3 5 0 5 3 3 5 0 5 3 3 5\n5 3 5 5 0 5 3 5 5 0 5 3 5 5 0 5 3 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 0 5 5 5 5 0 5 5 5 5 0 5 5 5 5\n1 5 1 1 0 1 5 1 1 0 1 5 1 1 0 1 5 1 1\n5 1 1 5 0 5 1 1 5 0 5 1 1 5 0 5 1 1 5\n5 1 5 5 0 5 1 5 5 0 5 1 5 5 0 5 1 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 0 5 5 5 5 0 5 5 5 5 0 5 5 5 5\n8 5 8 8 0 8 5 8 8 0 8 5 8 8 0 8 5 8 8\n5 8 8 5 0 5 8 8 5 0 5 8 8 5 0 5 8 8 5\n5 8 5 5 0 5 8 5 5 0 5 8 5 5 0 5 8 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 0 5 5 5 5 0 5 5 5 5 0 5 5 5 5\n4 5 4 4 0 4 5 4 4 0 4 5 4 4 0 4 5 4 4\n5 4 4 5 0 5 4 4 5 0 5 4 4 5 0 5 4 4 5\n5 4 5 5 0 5 4 5 5 0 5 4 5 5 0 5 4 5 5\n\nExample 2:\n\nInput:\n5 5 5 5 8 5 9 9 5 8 5 5 5 5\n5 5 5 5 8 5 9 5 5 8 5 1 1 5\n5 5 5 5 8 9 9 9 9 8 5 1 1 5\n5 5 5 5 8 5 5 9 5 8 5 5 5 5\n8 8 8 8 8 8 8 8 8 8 8 8 8 8\n5 5 5 5 8 5 5 5 5 8 5 5 5 5\n5 5 5 5 8 5 5 5 5 8 5 0 0 5\n5 5 5 5 8 5 5 5 5 8 5 0 0 5\n5 5 5 5 8 5 5 5 5 8 5 5 5 5\n8 8 8 8 8 8 8 8 8 8 8 8 8 8\n5 5 5 5 8 5 5 5 5 8 5 5 5 5\n5 5 5 5 8 5 5 5 5 8 5 4 4 5\n5 5 5 5 8 5 5 5 5 8 5 4 4 5\n5 5 5 5 8 5 5 5 5 8 5 5 5 5\nOutput:\n5 1 1 5 8 5 1 1 5 8 5 1 1 5\n5 1 5 5 8 5 1 5 5 8 5 1 5 5\n1 1 1 1 8 1 1 1 1 8 1 1 1 1\n5 5 1 5 8 5 5 1 5 8 5 5 1 5\n8 8 8 8 8 8 8 8 8 8 8 8 8 8\n5 0 0 5 8 5 0 0 5 8 5 0 0 5\n5 0 5 5 8 5 0 5 5 8 5 0 5 5\n0 0 0 0 8 0 0 0 0 8 0 0 0 0\n5 5 0 5 8 5 5 0 5 8 5 5 0 5\n8 8 8 8 8 8 8 8 8 8 8 8 8 8\n5 4 4 5 8 5 4 4 5 8 5 4 4 5\n5 4 5 5 8 5 4 5 5 8 5 4 5 5\n4 4 4 4 8 4 4 4 4 8 4 4 4 4\n5 5 4 5 8 5 5 4 5 8 5 5 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:\n5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5\n5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 1 1 5\n5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 1 1 5\n5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n5 5 5 5 9 5 5 5 5 9 5 4 5 5 9 5 5 5 5 9 5 5 5 5\n5 5 5 5 9 5 5 5 5 9 4 4 4 4 9 5 5 5 5 9 5 0 0 5\n5 5 5 5 9 5 5 5 5 9 5 4 4 5 9 5 5 5 5 9 5 0 0 5\n5 5 5 5 9 5 5 5 5 9 5 4 5 5 9 5 5 5 5 9 5 5 5 5\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5\n5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 3 3 5\n5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 3 3 5\n5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5\n5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 7 7 5\n5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 7 7 5\n5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5\n5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 6 6 5\n5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 6 6 5\n5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5 9 5 5 5 5\n", "answer": "5 1 5 5 9 5 1 5 5 9 5 1 5 5 9 5 1 5 5 9 5 1 5 5\n1 1 1 1 9 1 1 1 1 9 1 1 1 1 9 1 1 1 1 9 1 1 1 1\n5 1 1 5 9 5 1 1 5 9 5 1 1 5 9 5 1 1 5 9 5 1 1 5\n5 1 5 5 9 5 1 5 5 9 5 1 5 5 9 5 1 5 5 9 5 1 5 5\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n5 0 5 5 9 5 0 5 5 9 5 0 5 5 9 5 0 5 5 9 5 0 5 5\n0 0 0 0 9 0 0 0 0 9 0 0 0 0 9 0 0 0 0 9 0 0 0 0\n5 0 0 5 9 5 0 0 5 9 5 0 0 5 9 5 0 0 5 9 5 0 0 5\n5 0 5 5 9 5 0 5 5 9 5 0 5 5 9 5 0 5 5 9 5 0 5 5\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n5 3 5 5 9 5 3 5 5 9 5 3 5 5 9 5 3 5 5 9 5 3 5 5\n3 3 3 3 9 3 3 3 3 9 3 3 3 3 9 3 3 3 3 9 3 3 3 3\n5 3 3 5 9 5 3 3 5 9 5 3 3 5 9 5 3 3 5 9 5 3 3 5\n5 3 5 5 9 5 3 5 5 9 5 3 5 5 9 5 3 5 5 9 5 3 5 5\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n5 7 5 5 9 5 7 5 5 9 5 7 5 5 9 5 7 5 5 9 5 7 5 5\n7 7 7 7 9 7 7 7 7 9 7 7 7 7 9 7 7 7 7 9 7 7 7 7\n5 7 7 5 9 5 7 7 5 9 5 7 7 5 9 5 7 7 5 9 5 7 7 5\n5 7 5 5 9 5 7 5 5 9 5 7 5 5 9 5 7 5 5 9 5 7 5 5\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n5 6 5 5 9 5 6 5 5 9 5 6 5 5 9 5 6 5 5 9 5 6 5 5\n6 6 6 6 9 6 6 6 6 9 6 6 6 6 9 6 6 6 6 9 6 6 6 6\n5 6 6 5 9 5 6 6 5 9 5 6 6 5 9 5 6 6 5 9 5 6 6 5\n5 6 5 5 9 5 6 5 5 9 5 6 5 5 9 5 6 5 5 9 5 6 5 5", "metadata": {"source_dataset": "arc_agi", "source_index": 120, "input": [[5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 1, 1, 5], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 1, 1, 5], [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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 4, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 4, 4, 4, 4, 9, 5, 5, 5, 5, 9, 5, 0, 0, 5], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 4, 4, 5, 9, 5, 5, 5, 5, 9, 5, 0, 0, 5], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 4, 5, 5, 9, 5, 5, 5, 5, 9, 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], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 3, 3, 5], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 3, 3, 5], [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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 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], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 7, 7, 5], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 7, 7, 5], [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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 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], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 6, 6, 5], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 6, 6, 5], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5]], "output": [[5, 1, 5, 5, 9, 5, 1, 5, 5, 9, 5, 1, 5, 5, 9, 5, 1, 5, 5, 9, 5, 1, 5, 5], [1, 1, 1, 1, 9, 1, 1, 1, 1, 9, 1, 1, 1, 1, 9, 1, 1, 1, 1, 9, 1, 1, 1, 1], [5, 1, 1, 5, 9, 5, 1, 1, 5, 9, 5, 1, 1, 5, 9, 5, 1, 1, 5, 9, 5, 1, 1, 5], [5, 1, 5, 5, 9, 5, 1, 5, 5, 9, 5, 1, 5, 5, 9, 5, 1, 5, 5, 9, 5, 1, 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], [5, 0, 5, 5, 9, 5, 0, 5, 5, 9, 5, 0, 5, 5, 9, 5, 0, 5, 5, 9, 5, 0, 5, 5], [0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0], [5, 0, 0, 5, 9, 5, 0, 0, 5, 9, 5, 0, 0, 5, 9, 5, 0, 0, 5, 9, 5, 0, 0, 5], [5, 0, 5, 5, 9, 5, 0, 5, 5, 9, 5, 0, 5, 5, 9, 5, 0, 5, 5, 9, 5, 0, 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], [5, 3, 5, 5, 9, 5, 3, 5, 5, 9, 5, 3, 5, 5, 9, 5, 3, 5, 5, 9, 5, 3, 5, 5], [3, 3, 3, 3, 9, 3, 3, 3, 3, 9, 3, 3, 3, 3, 9, 3, 3, 3, 3, 9, 3, 3, 3, 3], [5, 3, 3, 5, 9, 5, 3, 3, 5, 9, 5, 3, 3, 5, 9, 5, 3, 3, 5, 9, 5, 3, 3, 5], [5, 3, 5, 5, 9, 5, 3, 5, 5, 9, 5, 3, 5, 5, 9, 5, 3, 5, 5, 9, 5, 3, 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], [5, 7, 5, 5, 9, 5, 7, 5, 5, 9, 5, 7, 5, 5, 9, 5, 7, 5, 5, 9, 5, 7, 5, 5], [7, 7, 7, 7, 9, 7, 7, 7, 7, 9, 7, 7, 7, 7, 9, 7, 7, 7, 7, 9, 7, 7, 7, 7], [5, 7, 7, 5, 9, 5, 7, 7, 5, 9, 5, 7, 7, 5, 9, 5, 7, 7, 5, 9, 5, 7, 7, 5], [5, 7, 5, 5, 9, 5, 7, 5, 5, 9, 5, 7, 5, 5, 9, 5, 7, 5, 5, 9, 5, 7, 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], [5, 6, 5, 5, 9, 5, 6, 5, 5, 9, 5, 6, 5, 5, 9, 5, 6, 5, 5, 9, 5, 6, 5, 5], [6, 6, 6, 6, 9, 6, 6, 6, 6, 9, 6, 6, 6, 6, 9, 6, 6, 6, 6, 9, 6, 6, 6, 6], [5, 6, 6, 5, 9, 5, 6, 6, 5, 9, 5, 6, 6, 5, 9, 5, 6, 6, 5, 9, 5, 6, 6, 5], [5, 6, 5, 5, 9, 5, 6, 5, 5, 9, 5, 6, 5, 5, 9, 5, 6, 5, 5, 9, 5, 6, 5, 5]], "task_id": "5a5a2103", "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": 120, "input": [[5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 1, 1, 5], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 1, 1, 5], [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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 4, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 4, 4, 4, 4, 9, 5, 5, 5, 5, 9, 5, 0, 0, 5], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 4, 4, 5, 9, 5, 5, 5, 5, 9, 5, 0, 0, 5], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 4, 5, 5, 9, 5, 5, 5, 5, 9, 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], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 3, 3, 5], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 3, 3, 5], [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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 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], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 7, 7, 5], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 7, 7, 5], [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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 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], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 6, 6, 5], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 6, 6, 5], [5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5, 9, 5, 5, 5, 5]], "output": [[5, 1, 5, 5, 9, 5, 1, 5, 5, 9, 5, 1, 5, 5, 9, 5, 1, 5, 5, 9, 5, 1, 5, 5], [1, 1, 1, 1, 9, 1, 1, 1, 1, 9, 1, 1, 1, 1, 9, 1, 1, 1, 1, 9, 1, 1, 1, 1], [5, 1, 1, 5, 9, 5, 1, 1, 5, 9, 5, 1, 1, 5, 9, 5, 1, 1, 5, 9, 5, 1, 1, 5], [5, 1, 5, 5, 9, 5, 1, 5, 5, 9, 5, 1, 5, 5, 9, 5, 1, 5, 5, 9, 5, 1, 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], [5, 0, 5, 5, 9, 5, 0, 5, 5, 9, 5, 0, 5, 5, 9, 5, 0, 5, 5, 9, 5, 0, 5, 5], [0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 0, 0, 0, 0], [5, 0, 0, 5, 9, 5, 0, 0, 5, 9, 5, 0, 0, 5, 9, 5, 0, 0, 5, 9, 5, 0, 0, 5], [5, 0, 5, 5, 9, 5, 0, 5, 5, 9, 5, 0, 5, 5, 9, 5, 0, 5, 5, 9, 5, 0, 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], [5, 3, 5, 5, 9, 5, 3, 5, 5, 9, 5, 3, 5, 5, 9, 5, 3, 5, 5, 9, 5, 3, 5, 5], [3, 3, 3, 3, 9, 3, 3, 3, 3, 9, 3, 3, 3, 3, 9, 3, 3, 3, 3, 9, 3, 3, 3, 3], [5, 3, 3, 5, 9, 5, 3, 3, 5, 9, 5, 3, 3, 5, 9, 5, 3, 3, 5, 9, 5, 3, 3, 5], [5, 3, 5, 5, 9, 5, 3, 5, 5, 9, 5, 3, 5, 5, 9, 5, 3, 5, 5, 9, 5, 3, 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], [5, 7, 5, 5, 9, 5, 7, 5, 5, 9, 5, 7, 5, 5, 9, 5, 7, 5, 5, 9, 5, 7, 5, 5], [7, 7, 7, 7, 9, 7, 7, 7, 7, 9, 7, 7, 7, 7, 9, 7, 7, 7, 7, 9, 7, 7, 7, 7], [5, 7, 7, 5, 9, 5, 7, 7, 5, 9, 5, 7, 7, 5, 9, 5, 7, 7, 5, 9, 5, 7, 7, 5], [5, 7, 5, 5, 9, 5, 7, 5, 5, 9, 5, 7, 5, 5, 9, 5, 7, 5, 5, 9, 5, 7, 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], [5, 6, 5, 5, 9, 5, 6, 5, 5, 9, 5, 6, 5, 5, 9, 5, 6, 5, 5, 9, 5, 6, 5, 5], [6, 6, 6, 6, 9, 6, 6, 6, 6, 9, 6, 6, 6, 6, 9, 6, 6, 6, 6, 9, 6, 6, 6, 6], [5, 6, 6, 5, 9, 5, 6, 6, 5, 9, 5, 6, 6, 5, 9, 5, 6, 6, 5, 9, 5, 6, 6, 5], [5, 6, 5, 5, 9, 5, 6, 5, 5, 9, 5, 6, 5, 5, 9, 5, 6, 5, 5, 9, 5, 6, 5, 5]], "task_id": "5a5a2103", "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 9 9 9 9 7 9 9 9 7 9 1 1 9 9 9 7 9 9 7 7 7 1 9 9 9 9 9 9 9 7 9 9 9 9 7 9 9 9 9 9 9 9 9 9 9 7 7 9 6 9 9 9 4 9 9 9 7 9 9 6 9 9 4 4 4 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 5 5 5 9 9 9 7 9 9 9 9 5 9 9 9 9 7 7 7 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 1 9 9 9 9 6 9 9 9 5 9 1 1 9 9 9 6 9 9 5 5 5 1 9 9 9 9 9 9 9 5 9 9 9 9 1 9 9 9 9 9 9 9 9 9 9 1 1 9 6 9 9 9 4 9 9 9 1 9 9 6 9 9 4 4 4 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 5 5 5 9 9 9 4 9 9 9 9 5 9 9 9 9 4 4 4 9 9 9 9 9 9 9 9 9 9 9 9 9 Example 2: Input: 9 9 9 9 7 9 9 9 9 7 7 7 9 9 9 9 7 9 9 0 9 9 9 9 0 0 0 9 9 9 9 0 9 9 9 9 Output: 9 9 9 9 0 9 9 9 9 0 0 0 9 9 9 9 0 9 9 0 9 9 9 9 0 0 0 9 9 9 9 0 9 9 9 9 Example 3: Input: 9 9 9 9 9 9 9 9 9 9 9 7 9 9 7 7 7 9 9 7 7 9 9 7 9 7 9 9 9 9 9 9 9 9 9 9 1 1 9 9 9 9 9 9 9 1 9 9 9 9 7 7 9 9 9 9 9 5 9 7 9 9 9 9 9 5 5 9 9 6 6 6 9 9 9 9 9 9 6 9 6 Output: 9 9 9 9 9 9 9 9 9 9 9 5 9 9 6 6 6 9 9 5 5 9 9 6 9 6 9 9 9 9 9 9 9 9 9 9 1 1 9 9 9 9 9 9 9 1 9 9 9 9 1 1 9 9 9 9 9 5 9 1 9 9 9 9 9 5 5 9 9 6 6 6 9 9 9 9 9 9 6 9 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: 9 9 9 9 9 0 0 9 9 9 9 9 9 9 9 7 7 9 0 0 0 9 9 7 9 9 9 9 7 7 7 9 0 9 9 7 7 7 9 9 9 9 7 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 7 7 7 9 9 3 9 9 9 2 9 9 9 9 7 9 9 9 3 3 9 2 2 2 9 9 9 9 9 9 9 3 9 9 9 9 9 9 9 9 7 9 9 9 9 9 9 9 6 9 9 9 9 7 7 9 9 9 9 9 6 6 6 9 9 9 7 9 9 9 7 9 9 9 6 9 9 9 9 9 9 9 9 7 9 0 9 9 9 9 9 9 9 9 9 9 9 9 0
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "9 9 9 9 9 0 0 9 9 9 9 9 9\n9 9 0 0 9 0 0 0 9 9 2 9 9\n9 9 0 0 0 9 0 9 9 2 2 2 9\n9 9 9 0 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 6 9 9 9 9 9 9\n9 9 9 9 9 6 6 6 9 9 3 9 9\n9 2 9 9 9 9 6 9 9 9 3 3 9\n2 2 2 9 9 9 9 9 9 9 3 9 9\n9 9 9 9 9 9 3 9 9 9 9 9 9\n9 6 9 9 9 9 3 3 9 9 9 9 9\n6 6 6 9 9 9 3 9 9 9 0 9 9\n9 6 9 9 9 9 9 9 9 9 0 9 0\n9 9 9 9 9 9 9 9 9 9 9 9 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 9 9 9 9 7 9 9 9 7 9\n1 1 9 9 9 7 9 9 7 7 7\n1 9 9 9 9 9 9 9 7 9 9\n9 9 7 9 9 9 9 9 9 9 9\n9 9 7 7 9 6 9 9 9 4 9\n9 9 7 9 9 6 9 9 4 4 4\n9 9 9 9 9 9 9 9 9 9 9\n9 9 5 9 9 9 9 9 9 9 9\n9 5 5 5 9 9 9 7 9 9 9\n9 5 9 9 9 9 7 7 7 9 9\n9 9 9 9 9 9 9 9 9 9 9\nOutput:\n1 9 9 9 9 6 9 9 9 5 9\n1 1 9 9 9 6 9 9 5 5 5\n1 9 9 9 9 9 9 9 5 9 9\n9 9 1 9 9 9 9 9 9 9 9\n9 9 1 1 9 6 9 9 9 4 9\n9 9 1 9 9 6 9 9 4 4 4\n9 9 9 9 9 9 9 9 9 9 9\n9 9 5 9 9 9 9 9 9 9 9\n9 5 5 5 9 9 9 4 9 9 9\n9 5 9 9 9 9 4 4 4 9 9\n9 9 9 9 9 9 9 9 9 9 9\n\nExample 2:\n\nInput:\n9 9 9 9 7 9\n9 9 9 7 7 7\n9 9 9 9 7 9\n9 0 9 9 9 9\n0 0 0 9 9 9\n9 0 9 9 9 9\nOutput:\n9 9 9 9 0 9\n9 9 9 0 0 0\n9 9 9 9 0 9\n9 0 9 9 9 9\n0 0 0 9 9 9\n9 0 9 9 9 9\n\nExample 3:\n\nInput:\n9 9 9 9 9 9 9 9 9\n9 9 7 9 9 7 7 7 9\n9 7 7 9 9 7 9 7 9\n9 9 9 9 9 9 9 9 9\n1 1 9 9 9 9 9 9 9\n1 9 9 9 9 7 7 9 9\n9 9 9 5 9 7 9 9 9\n9 9 5 5 9 9 6 6 6\n9 9 9 9 9 9 6 9 6\nOutput:\n9 9 9 9 9 9 9 9 9\n9 9 5 9 9 6 6 6 9\n9 5 5 9 9 6 9 6 9\n9 9 9 9 9 9 9 9 9\n1 1 9 9 9 9 9 9 9\n1 9 9 9 9 1 1 9 9\n9 9 9 5 9 1 9 9 9\n9 9 5 5 9 9 6 6 6\n9 9 9 9 9 9 6 9 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:\n9 9 9 9 9 0 0 9 9 9 9 9 9\n9 9 7 7 9 0 0 0 9 9 7 9 9\n9 9 7 7 7 9 0 9 9 7 7 7 9\n9 9 9 7 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 7 9 9 9 9 9 9\n9 9 9 9 9 7 7 7 9 9 3 9 9\n9 2 9 9 9 9 7 9 9 9 3 3 9\n2 2 2 9 9 9 9 9 9 9 3 9 9\n9 9 9 9 9 9 7 9 9 9 9 9 9\n9 6 9 9 9 9 7 7 9 9 9 9 9\n6 6 6 9 9 9 7 9 9 9 7 9 9\n9 6 9 9 9 9 9 9 9 9 7 9 0\n9 9 9 9 9 9 9 9 9 9 9 9 0\n", "answer": "9 9 9 9 9 0 0 9 9 9 9 9 9\n9 9 0 0 9 0 0 0 9 9 2 9 9\n9 9 0 0 0 9 0 9 9 2 2 2 9\n9 9 9 0 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 6 9 9 9 9 9 9\n9 9 9 9 9 6 6 6 9 9 3 9 9\n9 2 9 9 9 9 6 9 9 9 3 3 9\n2 2 2 9 9 9 9 9 9 9 3 9 9\n9 9 9 9 9 9 3 9 9 9 9 9 9\n9 6 9 9 9 9 3 3 9 9 9 9 9\n6 6 6 9 9 9 3 9 9 9 0 9 9\n9 6 9 9 9 9 9 9 9 9 0 9 0\n9 9 9 9 9 9 9 9 9 9 9 9 0", "metadata": {"source_dataset": "arc_agi", "source_index": 121, "input": [[9, 9, 9, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9], [9, 9, 7, 7, 9, 0, 0, 0, 9, 9, 7, 9, 9], [9, 9, 7, 7, 7, 9, 0, 9, 9, 7, 7, 7, 9], [9, 9, 9, 7, 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, 7, 7, 7, 9, 9, 3, 9, 9], [9, 2, 9, 9, 9, 9, 7, 9, 9, 9, 3, 3, 9], [2, 2, 2, 9, 9, 9, 9, 9, 9, 9, 3, 9, 9], [9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9], [9, 6, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9], [6, 6, 6, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9], [9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 0], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0]], "output": [[9, 9, 9, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9], [9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 2, 9, 9], [9, 9, 0, 0, 0, 9, 0, 9, 9, 2, 2, 2, 9], [9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 6, 6, 6, 9, 9, 3, 9, 9], [9, 2, 9, 9, 9, 9, 6, 9, 9, 9, 3, 3, 9], [2, 2, 2, 9, 9, 9, 9, 9, 9, 9, 3, 9, 9], [9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 9, 9, 9], [9, 6, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9], [6, 6, 6, 9, 9, 9, 3, 9, 9, 9, 0, 9, 9], [9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0]], "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": 121, "input": [[9, 9, 9, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9], [9, 9, 7, 7, 9, 0, 0, 0, 9, 9, 7, 9, 9], [9, 9, 7, 7, 7, 9, 0, 9, 9, 7, 7, 7, 9], [9, 9, 9, 7, 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, 7, 7, 7, 9, 9, 3, 9, 9], [9, 2, 9, 9, 9, 9, 7, 9, 9, 9, 3, 3, 9], [2, 2, 2, 9, 9, 9, 9, 9, 9, 9, 3, 9, 9], [9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9], [9, 6, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9], [6, 6, 6, 9, 9, 9, 7, 9, 9, 9, 7, 9, 9], [9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 0], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0]], "output": [[9, 9, 9, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9], [9, 9, 0, 0, 9, 0, 0, 0, 9, 9, 2, 9, 9], [9, 9, 0, 0, 0, 9, 0, 9, 9, 2, 2, 2, 9], [9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 6, 6, 6, 9, 9, 3, 9, 9], [9, 2, 9, 9, 9, 9, 6, 9, 9, 9, 3, 3, 9], [2, 2, 2, 9, 9, 9, 9, 9, 9, 9, 3, 9, 9], [9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 9, 9, 9], [9, 6, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9], [6, 6, 6, 9, 9, 9, 3, 9, 9, 9, 0, 9, 9], [9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0]], "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]}}
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 6 8 6 8 6 8 6 8 6 8 6 6 6 6 6 6 6 6 6 6 6 6 8 6 8 6 8 6 8 6 8 6 Output: 8 6 8 9 8 6 8 6 8 9 8 9 6 6 9 6 6 9 6 6 9 6 9 8 6 8 6 8 9 8 6 8 6 Example 2: Input: 6 8 6 8 6 8 6 8 6 8 6 6 6 6 6 6 6 6 6 6 6 6 8 6 8 6 8 6 8 6 8 6 8 Output: 9 8 6 8 6 8 9 8 6 8 6 9 6 6 9 6 6 9 6 6 9 6 8 6 8 9 8 6 8 6 8 9 8 Example 3: Input: 8 6 8 6 8 6 8 6 8 6 8 6 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 6 8 6 8 6 8 6 8 6 8 6 Output: 8 6 8 9 8 6 8 6 8 9 8 6 8 9 6 6 9 6 6 9 6 6 9 6 6 9 9 8 6 8 6 8 9 8 6 8 6 8 9 Example 4: Input: 8 6 8 6 8 6 8 6 8 6 6 6 6 6 6 6 6 6 6 6 6 8 6 8 6 8 6 8 6 8 Output: 8 6 8 9 8 6 8 6 8 9 9 6 6 9 6 6 9 6 6 9 9 8 6 8 6 8 9 8 6 8 Example 5: Input: 6 8 6 8 6 8 6 8 6 8 6 8 6 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 6 8 6 8 6 8 6 8 6 8 6 8 6 Output: 9 8 6 8 6 8 9 8 6 8 6 8 9 8 9 6 6 9 6 6 9 6 6 9 6 6 9 6 8 6 8 9 8 6 8 6 8 9 8 6 8 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 8 6 8 6 8 6 8 6 8 6 8 6 8 6 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 6 8 6 8 6 8 6 8 6 8 6 8 6 8 6 8
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "9 8 6 8 6 8 9 8 6 8 6 8 9 8 6 8 6\n9 6 6 9 6 6 9 6 6 9 6 6 9 6 6 9 6\n8 6 8 9 8 6 8 6 8 9 8 6 8 6 8 9 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 6 8 6 8 6 8 6 8 6 8\n6 6 6 6 6 6 6 6 6 6 6\n6 8 6 8 6 8 6 8 6 8 6\nOutput:\n8 6 8 9 8 6 8 6 8 9 8\n9 6 6 9 6 6 9 6 6 9 6\n9 8 6 8 6 8 9 8 6 8 6\n\nExample 2:\n\nInput:\n6 8 6 8 6 8 6 8 6 8 6\n6 6 6 6 6 6 6 6 6 6 6\n8 6 8 6 8 6 8 6 8 6 8\nOutput:\n9 8 6 8 6 8 9 8 6 8 6\n9 6 6 9 6 6 9 6 6 9 6\n8 6 8 9 8 6 8 6 8 9 8\n\nExample 3:\n\nInput:\n8 6 8 6 8 6 8 6 8 6 8 6 8\n6 6 6 6 6 6 6 6 6 6 6 6 6\n6 8 6 8 6 8 6 8 6 8 6 8 6\nOutput:\n8 6 8 9 8 6 8 6 8 9 8 6 8\n9 6 6 9 6 6 9 6 6 9 6 6 9\n9 8 6 8 6 8 9 8 6 8 6 8 9\n\nExample 4:\n\nInput:\n8 6 8 6 8 6 8 6 8 6\n6 6 6 6 6 6 6 6 6 6\n6 8 6 8 6 8 6 8 6 8\nOutput:\n8 6 8 9 8 6 8 6 8 9\n9 6 6 9 6 6 9 6 6 9\n9 8 6 8 6 8 9 8 6 8\n\nExample 5:\n\nInput:\n6 8 6 8 6 8 6 8 6 8 6 8 6 8\n6 6 6 6 6 6 6 6 6 6 6 6 6 6\n8 6 8 6 8 6 8 6 8 6 8 6 8 6\nOutput:\n9 8 6 8 6 8 9 8 6 8 6 8 9 8\n9 6 6 9 6 6 9 6 6 9 6 6 9 6\n8 6 8 9 8 6 8 6 8 9 8 6 8 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 8 6 8 6 8 6 8 6 8 6 8 6 8 6 8 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n8 6 8 6 8 6 8 6 8 6 8 6 8 6 8 6 8\n", "answer": "9 8 6 8 6 8 9 8 6 8 6 8 9 8 6 8 6\n9 6 6 9 6 6 9 6 6 9 6 6 9 6 6 9 6\n8 6 8 9 8 6 8 6 8 9 8 6 8 6 8 9 8", "metadata": {"source_dataset": "arc_agi", "source_index": 122, "input": [[6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8]], "output": [[9, 8, 6, 8, 6, 8, 9, 8, 6, 8, 6, 8, 9, 8, 6, 8, 6], [9, 6, 6, 9, 6, 6, 9, 6, 6, 9, 6, 6, 9, 6, 6, 9, 6], [8, 6, 8, 9, 8, 6, 8, 6, 8, 9, 8, 6, 8, 6, 8, 9, 8]], "task_id": "ba26e723", "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": 122, "input": [[6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8]], "output": [[9, 8, 6, 8, 6, 8, 9, 8, 6, 8, 6, 8, 9, 8, 6, 8, 6], [9, 6, 6, 9, 6, 6, 9, 6, 6, 9, 6, 6, 9, 6, 6, 9, 6], [8, 6, 8, 9, 8, 6, 8, 6, 8, 9, 8, 6, 8, 6, 8, 9, 8]], "task_id": "ba26e723", "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 2 2 2 2 2 2 2 2 2 2 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 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 6 6 6 6 6 2 2 5 5 5 5 5 5 5 5 5 2 2 2 2 2 5 5 3 3 3 3 3 3 3 3 3 2 2 5 5 5 5 5 5 5 5 5 2 2 2 2 2 5 5 3 3 3 3 3 3 3 3 3 2 2 5 5 5 5 5 5 5 5 5 2 2 2 2 2 5 5 5 5 5 5 5 5 5 5 5 2 2 5 5 5 5 5 5 5 5 5 2 2 2 2 2 5 5 5 5 5 5 5 5 5 5 5 2 2 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 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 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 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 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 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 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 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 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 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 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 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 2 2 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 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 6 6 6 6 6 2 2 5 5 5 5 5 5 5 5 5 2 2 2 2 2 5 5 3 3 3 3 3 3 3 3 3 2 2 5 5 5 5 5 5 5 5 5 2 2 2 2 2 5 5 3 3 3 3 3 3 3 3 3 2 2 5 5 3 3 3 3 3 3 3 2 2 2 2 2 5 5 5 5 5 5 5 5 5 5 5 2 2 5 5 3 3 3 3 3 3 3 2 2 2 2 2 5 5 5 5 5 5 5 5 5 5 5 2 2 5 5 3 3 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 3 3 3 3 3 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 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 9 7 7 9 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 9 9 9 9 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 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 1 1 1 1 1 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 1 1 1 1 1 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 1 1 1 1 1 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 1 1 1 1 1 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 1 1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 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 1 1 1 1 1 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 1 1 1 1 1 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 1 1 1 1 1 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 1 1 1 1 1 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 1 1 1 1 1 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 1 1 1 1 1 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 2 2 2 2 2 2 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 9 7 7 9 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 1 1 1 9 9 9 9 1 1 1 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 9 9 9 9 1 1 1 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 1 1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 9 7 9 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 9 7 9 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 9 7 9 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 9 7 9 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 9 7 9 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 9 9 9 1 1 1 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 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 1 1 1 1 1 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 1 1 1 1 1 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 3 3 3 3 3 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 3 1 1 1 3 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 3 1 1 1 3 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 3 1 1 1 3 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 3 1 1 1 3 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 3 1 1 1 3 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 3 3 3 3 3 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 2 2 7 7 7 7 7 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 7 7 7 7 7 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 7 7 7 7 7 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 7 7 7 7 7 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 7 7 7 7 7 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 7 7 7 7 7 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 7 7 7 7 7 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 7 7 7 7 7 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 7 7 7 7 7 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 7 7 7 7 7 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 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 3 3 3 3 3 3 3 7 7 2 2 2 2 2 7 7 3 3 3 3 3 7 7 2 2 2 2 2 7 7 3 1 1 1 1 1 3 7 7 2 2 2 2 2 7 7 3 1 1 1 3 7 7 2 2 2 2 2 7 7 3 1 1 1 1 1 3 7 7 2 2 2 2 2 7 7 3 1 1 1 3 7 7 2 2 2 2 2 7 7 3 1 1 1 1 1 3 7 7 2 2 2 2 2 7 7 3 1 1 1 3 7 7 2 2 2 2 2 7 7 3 1 1 1 1 1 3 7 7 2 2 2 2 2 7 7 3 1 1 1 3 7 7 2 2 2 2 2 7 7 3 1 1 1 1 1 3 7 7 2 2 2 2 2 7 7 3 1 1 1 3 7 7 2 2 2 2 2 7 7 3 1 1 1 1 1 3 7 7 2 2 2 2 2 7 7 3 3 3 3 3 7 7 2 2 2 2 2 7 7 3 1 1 1 1 1 3 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 3 1 1 1 1 1 3 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 3 1 1 1 1 1 3 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 3 1 1 1 1 1 3 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 3 3 3 3 3 3 3 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 2 2 7 7 7 7 7 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 7 7 7 7 7 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 7 7 3 3 3 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 7 7 3 1 3 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 7 7 3 1 3 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 7 7 3 1 3 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 7 7 3 1 3 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 7 7 3 3 3 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 7 7 7 7 7 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 7 7 7 7 7 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 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: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 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 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 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 2 2 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 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 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 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 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 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 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 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 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 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 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 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 2 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 2 2 2 2 2 2 2 2 2 2\n2 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 2\n2 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 2\n2 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2\n2 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2\n2 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 2 2 2 2\n2 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 2 2 2 2\n2 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 2 2 2 2\n2 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 2 2 2 2\n2 7 7 7 7 7 7 7 7 7 7 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2\n2 1 1 1 1 1 1 1 1 1 1 2 2 2 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2\n2 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2\n2 6 6 6 6 6 6 6 6 6 6 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2\n2 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 2\n2 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 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 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 2 2 2 2 2 2 2 2 2 2\n2 2 2 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\n2 2 2 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\n2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 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\n2 2 2 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\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 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 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 2 2 2 2 2 2 2\n2 2 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\n2 2 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\n2 2 5 5 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 5 5 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 5 5 3 3 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 5 5 3 3 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 5 5 3 3 6 6 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 5 5 3 3 6 6 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 5 5 3 3 6 6 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 5 5 3 3 6 6 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 5 5 3 3 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 5 5 3 3 6 6 6 6 6 6 6 2 2 5 5 5 5 5 5 5 5 5 2 2 2\n2 2 5 5 3 3 3 3 3 3 3 3 3 2 2 5 5 5 5 5 5 5 5 5 2 2 2\n2 2 5 5 3 3 3 3 3 3 3 3 3 2 2 5 5 5 5 5 5 5 5 5 2 2 2\n2 2 5 5 5 5 5 5 5 5 5 5 5 2 2 5 5 5 5 5 5 5 5 5 2 2 2\n2 2 5 5 5 5 5 5 5 5 5 5 5 2 2 5 5 5 5 5 5 5 5 5 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 5 5 5 5 5 5 5 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 5 5 5 5 5 5 5 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 5 5 5 5 5 5 5 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 5 5 5 5 5 5 5 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 5 5 5 5 5 5 5 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 5 5 5 5 5 5 5 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 5 5 5 5 5 5 5 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 5 5 5 5 5 5 5 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 5 5 5 5 5 5 5 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 5 5 5 5 5 5 5 2 2 2\n2 2 2 2 2 2 2 2 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 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 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 2 2 2 2 2 2 2\n2 2 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\n2 2 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\n2 2 5 5 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 5 5 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 5 5 3 3 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 5 5 3 3 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 5 5 3 3 6 6 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 5 5 3 3 6 6 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 5 5 3 3 6 6 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 5 5 3 3 6 6 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 5 5 3 3 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 5 5 3 3 6 6 6 6 6 6 6 2 2 5 5 5 5 5 5 5 5 5 2 2 2\n2 2 5 5 3 3 3 3 3 3 3 3 3 2 2 5 5 5 5 5 5 5 5 5 2 2 2\n2 2 5 5 3 3 3 3 3 3 3 3 3 2 2 5 5 3 3 3 3 3 3 3 2 2 2\n2 2 5 5 5 5 5 5 5 5 5 5 5 2 2 5 5 3 3 3 3 3 3 3 2 2 2\n2 2 5 5 5 5 5 5 5 5 5 5 5 2 2 5 5 3 3 6 6 6 6 6 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 6 6 6 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 7 7 7 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 7 7 7 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 7 7 7 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 6 6 6 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 6 6 6 6 6 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 3 3 3 3 3 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 3 3 3 3 3 3 3 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 5 5 5 5 5 5 5 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 5 5 5 5 5 5 5 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n\nExample 2:\n\nInput:\n2 2 2 2 2 2 2 2 2 2 2 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 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 2 2 2 2 2 2 2 2 2 2\n2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2\n2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2\n2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2\n2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2\n2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2\n2 2 1 1 1 9 9 9 9 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2\n2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2\n2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2\n2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2\n2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 2\n2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 2\n2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 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 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 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 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 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 2 2 2 2 2 2 2 2 2 2\n2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2\n2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2\n2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2\n2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2\n2 2 1 1 1 9 7 7 9 1 1 1 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2\n2 2 1 1 1 9 9 9 9 1 1 1 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2\n2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2\n2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2\n2 2 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 9 7 7 9 1 1 1 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 9 9 9 9 1 1 1 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 2\n2 2 2 2 2 2 2 2 1 1 1 9 7 9 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 2\n2 2 2 2 2 2 2 2 1 1 1 9 7 9 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 2\n2 2 2 2 2 2 2 2 1 1 1 9 7 9 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 1 1 1 9 7 9 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 1 1 1 9 7 9 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 1 1 1 9 9 9 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 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 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 2 2 2 2 2 2 2 2 2 2\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 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 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 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 7 7 7 7 7 7 7 7 7 7 7 2 2\n2 2 2 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2\n2 2 2 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2\n2 2 2 7 7 3 3 3 3 3 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2\n2 2 2 7 7 3 1 1 1 3 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2\n2 2 2 7 7 3 1 1 1 3 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2\n2 2 2 7 7 3 1 1 1 3 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2\n2 2 2 7 7 3 1 1 1 3 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2\n2 2 2 7 7 3 1 1 1 3 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2\n2 2 2 7 7 3 3 3 3 3 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2\n2 2 2 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2\n2 2 2 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2\n2 2 2 2 2 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 7 7 7 7 7 7 7 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 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 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 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 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 7 7 7 7 7 7 7 7 7 7 7 2 2\n2 2 2 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2\n2 2 2 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 3 3 3 3 3 3 3 7 7 2 2\n2 2 2 7 7 3 3 3 3 3 7 7 2 2 2 2 2 7 7 3 1 1 1 1 1 3 7 7 2 2\n2 2 2 7 7 3 1 1 1 3 7 7 2 2 2 2 2 7 7 3 1 1 1 1 1 3 7 7 2 2\n2 2 2 7 7 3 1 1 1 3 7 7 2 2 2 2 2 7 7 3 1 1 1 1 1 3 7 7 2 2\n2 2 2 7 7 3 1 1 1 3 7 7 2 2 2 2 2 7 7 3 1 1 1 1 1 3 7 7 2 2\n2 2 2 7 7 3 1 1 1 3 7 7 2 2 2 2 2 7 7 3 1 1 1 1 1 3 7 7 2 2\n2 2 2 7 7 3 1 1 1 3 7 7 2 2 2 2 2 7 7 3 1 1 1 1 1 3 7 7 2 2\n2 2 2 7 7 3 3 3 3 3 7 7 2 2 2 2 2 7 7 3 1 1 1 1 1 3 7 7 2 2\n2 2 2 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 3 1 1 1 1 1 3 7 7 2 2\n2 2 2 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 7 3 1 1 1 1 1 3 7 7 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 3 1 1 1 1 1 3 7 7 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 3 3 3 3 3 3 3 7 7 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2\n2 2 2 2 2 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 7 7 3 3 3 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 7 7 3 1 3 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 7 7 3 1 3 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 7 7 3 1 3 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 7 7 3 1 3 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 7 7 3 3 3 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 7 7 7 7 7 7 7 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 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:\n2 2 2 2 2 2 2 2 2 2 2 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 2 2 2 2 2 2 2 2 2 2\n2 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 2\n2 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 2\n2 1 1 1 1 1 1 1 1 1 1 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2\n2 1 1 1 1 1 1 1 1 1 1 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2\n2 7 7 7 7 7 7 7 7 7 7 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2\n2 3 3 3 3 3 3 3 3 3 3 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2\n2 3 3 3 3 3 3 3 3 3 3 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2\n2 3 3 3 3 3 3 3 3 3 3 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2\n2 7 7 7 7 7 7 7 7 7 7 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2\n2 1 1 1 1 1 1 1 1 1 1 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2\n2 1 1 1 1 1 1 1 1 1 1 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2\n2 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 2\n2 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 2\n2 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 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 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 2 2 2 2 2 2 2 2 2 2\n2 2 2 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\n2 2 2 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\n2 2 2 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\n2 2 2 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\n2 2 2 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\n2 2 2 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\n2 2 2 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\n2 2 2 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\n2 2 2 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\n2 2 2 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\n2 2 2 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\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n", "answer": "2 2 2 2 2 2 2 2 2 2 2 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 2 2 2 2 2 2 2 2 2 2\n2 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 2\n2 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 2\n2 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2\n2 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2\n2 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 2 2 2 2\n2 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 2 2 2 2\n2 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 2 2 2 2\n2 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 2 2 2 2\n2 7 7 7 7 7 7 7 7 7 7 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2\n2 1 1 1 1 1 1 1 1 1 1 2 2 2 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2\n2 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2\n2 6 6 6 6 6 6 6 6 6 6 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2\n2 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 2\n2 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 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 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 2 2 2 2 2 2 2 2 2 2\n2 2 2 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\n2 2 2 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\n2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 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\n2 2 2 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\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2", "metadata": {"source_dataset": "arc_agi", "source_index": 123, "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, 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, 2], [2, 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, 2], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2], [2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2], [2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2], [2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2], [2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2], [2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2], [2, 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, 2], [2, 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, 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, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 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, 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, 2], [2, 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, 2], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2], [2, 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, 2, 2, 2, 2], [2, 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, 2, 2, 2, 2], [2, 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, 2, 2, 2, 2], [2, 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, 2, 2, 2, 2], [2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2], [2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2], [2, 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, 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, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "task_id": "40f6cd08", "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": 123, "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, 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, 2], [2, 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, 2], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2], [2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2], [2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2], [2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2], [2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2], [2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2], [2, 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, 2], [2, 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, 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, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 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, 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, 2], [2, 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, 2], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2], [2, 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, 2, 2, 2, 2], [2, 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, 2, 2, 2, 2], [2, 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, 2, 2, 2, 2], [2, 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, 2, 2, 2, 2], [2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2], [2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2], [2, 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, 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, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "task_id": "40f6cd08", "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 6 8 8 8 8 9 9 8 8 8 8 8 6 8 8 8 8 9 9 8 8 8 8 8 6 8 8 8 8 8 9 8 8 8 8 8 6 6 6 8 8 8 8 8 8 8 8 8 8 8 6 8 8 9 9 8 8 8 8 8 8 8 6 8 8 9 9 8 8 8 8 8 6 6 6 8 8 8 8 8 8 8 8 8 6 8 8 8 8 8 9 9 8 8 8 8 6 8 8 8 8 9 9 8 8 8 8 8 6 8 8 8 8 8 8 8 8 8 8 8 6 8 8 8 8 8 8 8 8 8 8 8 6 8 8 8 Output: 8 8 8 8 8 8 8 8 6 8 8 8 8 2 2 8 8 8 8 8 6 8 8 8 8 2 2 8 8 8 8 8 6 8 8 8 8 8 2 8 8 8 8 8 6 6 6 8 8 8 8 8 8 8 8 8 8 8 6 8 8 2 2 8 8 8 8 8 8 8 6 8 8 2 2 8 8 8 8 8 6 6 6 8 8 8 8 8 8 8 8 8 6 8 8 8 8 8 9 9 8 8 8 8 6 8 8 8 8 9 9 8 8 8 8 8 6 8 8 8 8 8 8 8 8 8 8 8 6 8 8 8 8 8 8 8 8 8 8 8 6 8 8 8 Example 2: Input: 8 9 8 8 8 8 8 6 8 8 8 8 8 9 9 8 8 8 8 6 8 8 8 8 8 9 8 8 8 8 8 6 6 6 8 8 8 8 8 8 8 8 8 8 8 6 8 8 8 8 9 8 8 8 8 8 6 6 8 8 8 9 9 9 8 8 8 6 6 8 8 8 8 8 9 8 8 8 8 6 6 8 8 8 8 8 8 8 8 8 8 8 6 6 8 8 8 9 9 9 8 8 8 8 8 6 8 8 8 8 8 8 8 8 8 8 6 6 8 8 8 9 8 8 8 8 8 6 6 8 8 8 8 9 9 9 8 8 8 6 8 8 8 8 Output: 8 2 8 8 8 8 8 6 8 8 8 8 8 2 2 8 8 8 8 6 8 8 8 8 8 2 8 8 8 8 8 6 6 6 8 8 8 8 8 8 8 8 8 8 8 6 8 8 8 8 2 8 8 8 8 8 6 6 8 8 8 2 2 2 8 8 8 6 6 8 8 8 8 8 2 8 8 8 8 6 6 8 8 8 8 8 8 8 8 8 8 8 6 6 8 8 8 9 9 9 8 8 8 8 8 6 8 8 8 8 8 8 8 8 8 8 6 6 8 8 8 9 8 8 8 8 8 6 6 8 8 8 8 9 9 9 8 8 8 6 8 8 8 8 Example 3: Input: 8 8 8 8 8 6 8 8 8 8 8 8 8 9 9 8 8 6 8 8 8 8 8 8 8 9 9 8 8 6 8 8 8 8 8 8 8 8 8 8 8 6 8 8 8 8 8 8 8 9 9 9 8 6 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 6 8 8 8 8 8 8 8 8 8 8 8 6 8 8 8 8 8 8 8 8 8 6 6 6 8 8 8 8 8 8 8 8 8 6 8 8 8 8 8 8 8 8 8 8 8 6 8 8 8 8 8 8 8 8 8 8 8 6 8 8 8 8 8 8 Output: 8 8 8 8 8 6 8 8 8 8 8 8 8 2 2 8 8 6 8 8 8 8 8 8 8 2 2 8 8 6 8 8 8 8 8 8 8 8 8 8 8 6 8 8 8 8 8 8 8 9 9 9 8 6 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 6 8 8 8 8 8 8 8 8 8 8 8 6 8 8 8 8 8 8 8 8 8 6 6 6 8 8 8 8 8 8 8 8 8 6 8 8 8 8 8 8 8 8 8 8 8 6 8 8 8 8 8 8 8 8 8 8 8 6 8 8 8 8 8 8 Example 4: Input: 8 9 9 8 8 8 8 8 6 8 8 8 8 9 9 8 8 8 8 8 6 8 8 8 8 8 8 8 8 8 8 8 6 6 6 8 8 8 9 9 8 8 8 8 8 8 6 8 8 9 9 8 8 8 8 8 8 8 6 8 8 8 8 8 8 8 8 8 6 6 6 8 8 8 9 9 8 8 8 8 6 8 8 8 8 8 9 9 8 8 8 8 6 8 8 8 8 9 9 9 9 8 8 8 6 6 6 8 8 8 8 8 8 8 8 8 8 8 6 8 8 9 9 9 8 8 8 8 6 6 6 8 8 8 8 8 8 8 8 8 6 8 8 8 Output: 8 2 2 8 8 8 8 8 6 8 8 8 8 2 2 8 8 8 8 8 6 8 8 8 8 8 8 8 8 8 8 8 6 6 6 8 8 8 9 9 8 8 8 8 8 8 6 8 8 9 9 8 8 8 8 8 8 8 6 8 8 8 8 8 8 8 8 8 6 6 6 8 8 8 2 2 8 8 8 8 6 8 8 8 8 8 2 2 8 8 8 8 6 8 8 8 8 2 2 2 2 8 8 8 6 6 6 8 8 8 8 8 8 8 8 8 8 8 6 8 8 2 2 2 8 8 8 8 6 6 6 8 8 8 8 8 8 8 8 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: 8 8 8 8 8 8 8 6 8 8 8 8 8 8 9 9 8 8 8 6 6 6 8 8 8 9 9 8 8 8 8 8 8 6 8 8 8 8 8 8 8 8 8 8 6 6 8 8 8 9 9 9 8 8 8 6 6 8 8 8 8 8 8 9 9 8 8 6 8 8 8 8 8 8 8 8 8 8 8 6 8 8 8 8 8 9 9 8 8 8 8 6 6 6 8 8 8 9 9 8 8 8 8 8 8 6 8 8 8 8 8 8 8 8 8 6 6 6 8 8 8 9 9 9 8 8 8 6 8 8 8 8 8 8 8 8 8 8 8 6 8 8 8 8
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "8 8 8 8 8 8 8 6 8 8 8 8\n8 8 2 2 8 8 8 6 6 6 8 8\n8 2 2 8 8 8 8 8 8 6 8 8\n8 8 8 8 8 8 8 8 6 6 8 8\n8 2 2 2 8 8 8 6 6 8 8 8\n8 8 8 2 2 8 8 6 8 8 8 8\n8 8 8 8 8 8 8 6 8 8 8 8\n8 9 9 8 8 8 8 6 6 6 8 8\n8 9 9 8 8 8 8 8 8 6 8 8\n8 8 8 8 8 8 8 6 6 6 8 8\n8 2 2 2 8 8 8 6 8 8 8 8\n8 8 8 8 8 8 8 6 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 6 8 8 8\n8 9 9 8 8 8 8 8 6 8 8 8\n8 9 9 8 8 8 8 8 6 8 8 8\n8 8 9 8 8 8 8 8 6 6 6 8\n8 8 8 8 8 8 8 8 8 8 6 8\n8 9 9 8 8 8 8 8 8 8 6 8\n8 9 9 8 8 8 8 8 6 6 6 8\n8 8 8 8 8 8 8 8 6 8 8 8\n8 8 9 9 8 8 8 8 6 8 8 8\n8 9 9 8 8 8 8 8 6 8 8 8\n8 8 8 8 8 8 8 8 6 8 8 8\n8 8 8 8 8 8 8 8 6 8 8 8\nOutput:\n8 8 8 8 8 8 8 8 6 8 8 8\n8 2 2 8 8 8 8 8 6 8 8 8\n8 2 2 8 8 8 8 8 6 8 8 8\n8 8 2 8 8 8 8 8 6 6 6 8\n8 8 8 8 8 8 8 8 8 8 6 8\n8 2 2 8 8 8 8 8 8 8 6 8\n8 2 2 8 8 8 8 8 6 6 6 8\n8 8 8 8 8 8 8 8 6 8 8 8\n8 8 9 9 8 8 8 8 6 8 8 8\n8 9 9 8 8 8 8 8 6 8 8 8\n8 8 8 8 8 8 8 8 6 8 8 8\n8 8 8 8 8 8 8 8 6 8 8 8\n\nExample 2:\n\nInput:\n8 9 8 8 8 8 8 6 8 8 8 8\n8 9 9 8 8 8 8 6 8 8 8 8\n8 9 8 8 8 8 8 6 6 6 8 8\n8 8 8 8 8 8 8 8 8 6 8 8\n8 8 9 8 8 8 8 8 6 6 8 8\n8 9 9 9 8 8 8 6 6 8 8 8\n8 8 9 8 8 8 8 6 6 8 8 8\n8 8 8 8 8 8 8 8 6 6 8 8\n8 9 9 9 8 8 8 8 8 6 8 8\n8 8 8 8 8 8 8 8 6 6 8 8\n8 9 8 8 8 8 8 6 6 8 8 8\n8 9 9 9 8 8 8 6 8 8 8 8\nOutput:\n8 2 8 8 8 8 8 6 8 8 8 8\n8 2 2 8 8 8 8 6 8 8 8 8\n8 2 8 8 8 8 8 6 6 6 8 8\n8 8 8 8 8 8 8 8 8 6 8 8\n8 8 2 8 8 8 8 8 6 6 8 8\n8 2 2 2 8 8 8 6 6 8 8 8\n8 8 2 8 8 8 8 6 6 8 8 8\n8 8 8 8 8 8 8 8 6 6 8 8\n8 9 9 9 8 8 8 8 8 6 8 8\n8 8 8 8 8 8 8 8 6 6 8 8\n8 9 8 8 8 8 8 6 6 8 8 8\n8 9 9 9 8 8 8 6 8 8 8 8\n\nExample 3:\n\nInput:\n8 8 8 8 8 6 8 8 8 8 8 8\n8 9 9 8 8 6 8 8 8 8 8 8\n8 9 9 8 8 6 8 8 8 8 8 8\n8 8 8 8 8 6 8 8 8 8 8 8\n8 9 9 9 8 6 8 8 8 8 8 8\n8 8 8 8 8 6 6 6 8 8 8 8\n8 8 8 8 8 8 8 6 8 8 8 8\n8 8 8 8 8 8 8 6 8 8 8 8\n8 8 8 8 8 6 6 6 8 8 8 8\n8 8 8 8 8 6 8 8 8 8 8 8\n8 8 8 8 8 6 8 8 8 8 8 8\n8 8 8 8 8 6 8 8 8 8 8 8\nOutput:\n8 8 8 8 8 6 8 8 8 8 8 8\n8 2 2 8 8 6 8 8 8 8 8 8\n8 2 2 8 8 6 8 8 8 8 8 8\n8 8 8 8 8 6 8 8 8 8 8 8\n8 9 9 9 8 6 8 8 8 8 8 8\n8 8 8 8 8 6 6 6 8 8 8 8\n8 8 8 8 8 8 8 6 8 8 8 8\n8 8 8 8 8 8 8 6 8 8 8 8\n8 8 8 8 8 6 6 6 8 8 8 8\n8 8 8 8 8 6 8 8 8 8 8 8\n8 8 8 8 8 6 8 8 8 8 8 8\n8 8 8 8 8 6 8 8 8 8 8 8\n\nExample 4:\n\nInput:\n8 9 9 8 8 8 8 8 6 8 8 8\n8 9 9 8 8 8 8 8 6 8 8 8\n8 8 8 8 8 8 8 8 6 6 6 8\n8 8 9 9 8 8 8 8 8 8 6 8\n8 9 9 8 8 8 8 8 8 8 6 8\n8 8 8 8 8 8 8 8 6 6 6 8\n8 8 9 9 8 8 8 8 6 8 8 8\n8 8 9 9 8 8 8 8 6 8 8 8\n8 9 9 9 9 8 8 8 6 6 6 8\n8 8 8 8 8 8 8 8 8 8 6 8\n8 9 9 9 8 8 8 8 6 6 6 8\n8 8 8 8 8 8 8 8 6 8 8 8\nOutput:\n8 2 2 8 8 8 8 8 6 8 8 8\n8 2 2 8 8 8 8 8 6 8 8 8\n8 8 8 8 8 8 8 8 6 6 6 8\n8 8 9 9 8 8 8 8 8 8 6 8\n8 9 9 8 8 8 8 8 8 8 6 8\n8 8 8 8 8 8 8 8 6 6 6 8\n8 8 2 2 8 8 8 8 6 8 8 8\n8 8 2 2 8 8 8 8 6 8 8 8\n8 2 2 2 2 8 8 8 6 6 6 8\n8 8 8 8 8 8 8 8 8 8 6 8\n8 2 2 2 8 8 8 8 6 6 6 8\n8 8 8 8 8 8 8 8 6 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 6 8 8 8 8\n8 8 9 9 8 8 8 6 6 6 8 8\n8 9 9 8 8 8 8 8 8 6 8 8\n8 8 8 8 8 8 8 8 6 6 8 8\n8 9 9 9 8 8 8 6 6 8 8 8\n8 8 8 9 9 8 8 6 8 8 8 8\n8 8 8 8 8 8 8 6 8 8 8 8\n8 9 9 8 8 8 8 6 6 6 8 8\n8 9 9 8 8 8 8 8 8 6 8 8\n8 8 8 8 8 8 8 6 6 6 8 8\n8 9 9 9 8 8 8 6 8 8 8 8\n8 8 8 8 8 8 8 6 8 8 8 8\n", "answer": "8 8 8 8 8 8 8 6 8 8 8 8\n8 8 2 2 8 8 8 6 6 6 8 8\n8 2 2 8 8 8 8 8 8 6 8 8\n8 8 8 8 8 8 8 8 6 6 8 8\n8 2 2 2 8 8 8 6 6 8 8 8\n8 8 8 2 2 8 8 6 8 8 8 8\n8 8 8 8 8 8 8 6 8 8 8 8\n8 9 9 8 8 8 8 6 6 6 8 8\n8 9 9 8 8 8 8 8 8 6 8 8\n8 8 8 8 8 8 8 6 6 6 8 8\n8 2 2 2 8 8 8 6 8 8 8 8\n8 8 8 8 8 8 8 6 8 8 8 8", "metadata": {"source_dataset": "arc_agi", "source_index": 124, "input": [[8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8], [8, 8, 9, 9, 8, 8, 8, 6, 6, 6, 8, 8], [8, 9, 9, 8, 8, 8, 8, 8, 8, 6, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8], [8, 9, 9, 9, 8, 8, 8, 6, 6, 8, 8, 8], [8, 8, 8, 9, 9, 8, 8, 6, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8], [8, 9, 9, 8, 8, 8, 8, 6, 6, 6, 8, 8], [8, 9, 9, 8, 8, 8, 8, 8, 8, 6, 8, 8], [8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 8, 8], [8, 9, 9, 9, 8, 8, 8, 6, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8]], "output": [[8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8], [8, 8, 2, 2, 8, 8, 8, 6, 6, 6, 8, 8], [8, 2, 2, 8, 8, 8, 8, 8, 8, 6, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8], [8, 2, 2, 2, 8, 8, 8, 6, 6, 8, 8, 8], [8, 8, 8, 2, 2, 8, 8, 6, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8], [8, 9, 9, 8, 8, 8, 8, 6, 6, 6, 8, 8], [8, 9, 9, 8, 8, 8, 8, 8, 8, 6, 8, 8], [8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 8, 8], [8, 2, 2, 2, 8, 8, 8, 6, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8]], "task_id": "1acc24af", "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": 124, "input": [[8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8], [8, 8, 9, 9, 8, 8, 8, 6, 6, 6, 8, 8], [8, 9, 9, 8, 8, 8, 8, 8, 8, 6, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8], [8, 9, 9, 9, 8, 8, 8, 6, 6, 8, 8, 8], [8, 8, 8, 9, 9, 8, 8, 6, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8], [8, 9, 9, 8, 8, 8, 8, 6, 6, 6, 8, 8], [8, 9, 9, 8, 8, 8, 8, 8, 8, 6, 8, 8], [8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 8, 8], [8, 9, 9, 9, 8, 8, 8, 6, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8]], "output": [[8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8], [8, 8, 2, 2, 8, 8, 8, 6, 6, 6, 8, 8], [8, 2, 2, 8, 8, 8, 8, 8, 8, 6, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8], [8, 2, 2, 2, 8, 8, 8, 6, 6, 8, 8, 8], [8, 8, 8, 2, 2, 8, 8, 6, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8], [8, 9, 9, 8, 8, 8, 8, 6, 6, 6, 8, 8], [8, 9, 9, 8, 8, 8, 8, 8, 8, 6, 8, 8], [8, 8, 8, 8, 8, 8, 8, 6, 6, 6, 8, 8], [8, 2, 2, 2, 8, 8, 8, 6, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8]], "task_id": "1acc24af", "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: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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 7 7 7 7 7 7 7 7 0 7 7 7 7 7 6 6 6 7 0 7 7 7 7 7 6 6 6 7 0 7 4 4 4 4 6 6 6 7 0 7 4 4 4 4 Output: 7 7 7 7 7 7 4 4 4 4 7 7 7 7 7 7 0 4 4 4 7 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 0 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 6 6 6 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 Example 2: 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 8 8 8 7 7 7 7 7 7 7 8 8 8 0 0 0 7 3 3 7 8 8 8 0 0 0 7 3 3 7 8 8 8 Output: 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 3 3 8 8 7 7 7 7 0 0 0 3 7 7 7 7 7 7 0 0 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 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 1 1 4 7 6 6 7 0 0 7 1 1 4 7 6 6 7 0 0 7 1 1 Output: 7 7 7 7 7 7 7 7 1 1 7 7 7 7 7 7 7 7 1 1 7 7 7 7 7 7 7 0 0 1 7 7 7 7 7 7 6 6 0 7 7 7 7 7 7 7 4 6 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 4 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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 2 7 8 8 7 3 7 6 6 7 2 7 8 8 7 3 7 6 6 7 2 7 8 8 7 3
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 7 7 7 7 7 7 7 7 3\n7 7 7 7 7 7 7 7 7 3\n7 7 7 7 7 7 7 7 7 3\n7 7 7 7 7 7 7 7 8 8\n7 7 7 7 7 7 7 7 8 8\n7 7 7 7 7 7 7 7 2 8\n7 7 7 7 7 7 7 7 2 7\n7 7 7 7 7 7 7 6 6 7\n7 7 7 7 7 7 7 6 6 7\n7 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\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 0 7 7 7 7 7\n7 7 7 7 0 7 7 7 7 7\n6 6 6 7 0 7 7 7 7 7\n6 6 6 7 0 7 4 4 4 4\n6 6 6 7 0 7 4 4 4 4\nOutput:\n7 7 7 7 7 7 4 4 4 4\n7 7 7 7 7 7 0 4 4 4\n7 7 7 7 7 7 0 7 7 7\n7 7 7 7 7 7 0 7 7 7\n7 7 7 7 7 7 0 7 7 7\n7 7 7 7 6 6 6 7 7 7\n7 7 7 7 6 6 6 7 7 7\n7 7 7 7 6 6 6 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 2:\n\nInput:\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 8 8 8\n7 7 7 7 7 7 7 8 8 8\n0 0 0 7 3 3 7 8 8 8\n0 0 0 7 3 3 7 8 8 8\nOutput:\n7 7 7 7 7 7 7 8 8 8\n7 7 7 7 7 7 7 8 8 8\n7 7 7 7 7 7 7 8 8 8\n7 7 7 7 7 7 3 3 8 8\n7 7 7 7 0 0 0 3 7 7\n7 7 7 7 0 0 0 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 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\n4 7 7 7 7 7 7 7 7 7\n4 7 7 7 7 7 7 7 1 1\n4 7 6 6 7 0 0 7 1 1\n4 7 6 6 7 0 0 7 1 1\nOutput:\n7 7 7 7 7 7 7 7 1 1\n7 7 7 7 7 7 7 7 1 1\n7 7 7 7 7 7 7 0 0 1\n7 7 7 7 7 7 6 6 0 7\n7 7 7 7 7 7 4 6 7 7\n7 7 7 7 7 7 4 7 7 7\n7 7 7 7 7 7 4 7 7 7\n7 7 7 7 7 7 4 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 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 3\n7 7 7 7 2 7 8 8 7 3\n7 6 6 7 2 7 8 8 7 3\n7 6 6 7 2 7 8 8 7 3\n", "answer": "7 7 7 7 7 7 7 7 7 3\n7 7 7 7 7 7 7 7 7 3\n7 7 7 7 7 7 7 7 7 3\n7 7 7 7 7 7 7 7 8 8\n7 7 7 7 7 7 7 7 8 8\n7 7 7 7 7 7 7 7 2 8\n7 7 7 7 7 7 7 7 2 7\n7 7 7 7 7 7 7 6 6 7\n7 7 7 7 7 7 7 6 6 7\n7 7 7 7 7 7 7 7 7 7", "metadata": {"source_dataset": "arc_agi", "source_index": 125, "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, 3], [7, 7, 7, 7, 2, 7, 8, 8, 7, 3], [7, 6, 6, 7, 2, 7, 8, 8, 7, 3], [7, 6, 6, 7, 2, 7, 8, 8, 7, 3]], "output": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 3], [7, 7, 7, 7, 7, 7, 7, 7, 7, 3], [7, 7, 7, 7, 7, 7, 7, 7, 7, 3], [7, 7, 7, 7, 7, 7, 7, 7, 8, 8], [7, 7, 7, 7, 7, 7, 7, 7, 8, 8], [7, 7, 7, 7, 7, 7, 7, 7, 2, 8], [7, 7, 7, 7, 7, 7, 7, 7, 2, 7], [7, 7, 7, 7, 7, 7, 7, 6, 6, 7], [7, 7, 7, 7, 7, 7, 7, 6, 6, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "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": 125, "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, 3], [7, 7, 7, 7, 2, 7, 8, 8, 7, 3], [7, 6, 6, 7, 2, 7, 8, 8, 7, 3], [7, 6, 6, 7, 2, 7, 8, 8, 7, 3]], "output": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 3], [7, 7, 7, 7, 7, 7, 7, 7, 7, 3], [7, 7, 7, 7, 7, 7, 7, 7, 7, 3], [7, 7, 7, 7, 7, 7, 7, 7, 8, 8], [7, 7, 7, 7, 7, 7, 7, 7, 8, 8], [7, 7, 7, 7, 7, 7, 7, 7, 2, 8], [7, 7, 7, 7, 7, 7, 7, 7, 2, 7], [7, 7, 7, 7, 7, 7, 7, 6, 6, 7], [7, 7, 7, 7, 7, 7, 7, 6, 6, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "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: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 1 1 9 1 1 9 9 1 9 9 1 9 9 1 1 9 1 1 9 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 1 1 1 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 1 1 9 1 1 9 1 1 9 1 9 9 1 9 9 1 9 9 1 9 1 1 9 1 1 9 1 1 Example 2: Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 6 1 1 1 1 1 6 1 1 1 1 1 6 6 6 1 1 1 1 1 6 1 1 1 1 1 6 6 6 1 1 1 1 1 6 1 1 1 1 1 6 Output: 1 6 1 1 1 1 1 1 1 1 1 6 6 6 1 1 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 6 6 6 1 1 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 6 6 6 1 1 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 6 6 6 1 1 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 6 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 0 0 0 0 0 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 1 1 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 0 0 0 0 0 1 1 1 1 1 1 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 1 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 3 1 3 1 3 3 1 3 1 3 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
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 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 3 1 3 1 3 1 3 1 3\n3 1 3 1 3 1 3 1 3 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", "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\n1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1\n1 1 9 1 1 9 1 1\n9 9 1 9 9 1 9 9\n1 1 9 1 1 9 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 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 9 1 1 9 1 1 9 1 1\n9 1 9 9 1 9 9 1 9 9\n1 9 1 1 9 1 1 9 1 1\n\nExample 2:\n\nInput:\n1 1 1 1 1 1\n1 1 1 1 1 1\n1 1 1 1 1 1\n6 6 1 1 1 1\n1 6 1 1 1 1\n1 6 6 6 1 1\n1 1 1 6 1 1\n1 1 1 6 6 6\n1 1 1 1 1 6\n1 1 1 1 1 6\nOutput:\n1 6 1 1 1 1 1 1 1 1\n1 6 6 6 1 1 1 1 1 1\n1 1 1 6 1 1 1 1 1 1\n1 1 1 6 6 6 1 1 1 1\n1 1 1 1 1 6 1 1 1 1\n1 1 1 1 1 6 6 6 1 1\n1 1 1 1 1 1 1 6 1 1\n1 1 1 1 1 1 1 6 6 6\n1 1 1 1 1 1 1 1 1 6\n1 1 1 1 1 1 1 1 1 6\n\nExample 3:\n\nInput:\n1 1 1 1 1\n1 1 1 1 1\n1 1 1 1 1\n1 1 1 1 1\n1 1 1 1 1\n1 1 1 1 1\n1 1 1 1 1\n0 0 0 0 0\n1 1 1 1 1\n1 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 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\n0 0 0 0 0 0 0 0 0 0\n1 1 1 1 1 1 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\n1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1\n1 3 1 3 1 3 1 3\n3 1 3 1 3 1 3 1\n1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1\n1 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 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 3 1 3 1 3 1 3 1 3\n3 1 3 1 3 1 3 1 3 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", "metadata": {"source_dataset": "arc_agi", "source_index": 126, "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, 3, 1, 3, 1, 3, 1, 3], [3, 1, 3, 1, 3, 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]], "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, 1, 1, 1, 1, 1, 1], [1, 3, 1, 3, 1, 3, 1, 3, 1, 3], [3, 1, 3, 1, 3, 1, 3, 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]], "task_id": "53b68214", "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": 126, "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, 3, 1, 3, 1, 3, 1, 3], [3, 1, 3, 1, 3, 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]], "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, 1, 1, 1, 1, 1, 1], [1, 3, 1, 3, 1, 3, 1, 3, 1, 3], [3, 1, 3, 1, 3, 1, 3, 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]], "task_id": "53b68214", "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 1 1 1 1 1 1 1 1 1 1 1 1 9 9 9 9 9 9 9 9 1 1 1 9 1 1 1 1 1 1 9 1 1 1 9 1 1 1 1 1 1 9 1 1 1 9 1 1 4 1 1 1 9 1 1 1 9 1 4 1 1 1 1 9 1 1 1 9 1 1 1 1 1 1 9 1 1 1 9 1 1 1 1 1 1 9 1 1 1 9 9 9 9 9 9 9 9 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 9 9 9 9 9 9 9 9 1 1 1 9 9 9 9 9 9 9 9 1 1 1 9 9 9 9 9 9 9 9 1 1 1 9 9 1 4 9 9 9 9 1 1 1 9 9 4 1 9 9 9 9 1 1 1 9 9 9 9 9 9 9 9 1 1 1 9 9 9 9 9 9 9 9 1 1 1 9 9 9 9 9 9 9 9 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 1 1 1 1 1 1 1 1 1 1 9 9 9 9 9 9 9 9 9 9 1 1 9 1 1 1 1 1 1 1 1 9 1 1 9 1 1 4 1 1 4 1 1 9 1 1 9 1 1 1 1 4 1 1 1 9 1 1 9 1 1 4 1 1 1 1 1 9 1 1 9 1 1 1 1 1 1 1 1 9 1 1 9 1 1 1 1 1 1 1 1 9 1 1 9 9 9 9 9 9 9 9 9 9 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 9 9 9 9 9 9 9 9 9 9 1 1 9 9 9 9 9 9 9 9 9 9 1 1 9 9 9 4 1 1 4 9 9 9 1 1 9 9 9 1 1 4 1 9 9 9 1 1 9 9 9 4 1 1 1 9 9 9 1 1 9 9 9 9 9 9 9 9 9 9 1 1 9 9 9 9 9 9 9 9 9 9 1 1 9 9 9 9 9 9 9 9 9 9 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 9 9 9 9 9 9 9 9 1 1 1 9 1 1 1 1 1 1 9 1 1 1 9 1 1 1 4 1 1 9 1 1 1 9 1 4 1 1 4 1 9 1 1 1 9 1 1 1 1 1 1 9 1 1 1 9 9 9 9 9 9 9 9 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 9 9 9 9 9 9 9 9 1 1 1 9 9 9 9 9 9 9 9 1 1 1 9 9 1 1 4 1 9 9 1 1 1 9 9 4 1 1 4 9 9 1 1 1 9 9 9 9 9 9 9 9 1 1 1 9 9 9 9 9 9 9 9 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 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 1 1 1 9 1 1 1 1 1 1 1 9 1 1 1 9 1 1 1 1 1 1 1 9 1 1 1 9 1 1 4 1 1 1 1 9 1 1 1 9 1 1 1 4 1 1 1 9 1 1 1 9 1 1 1 1 4 1 1 9 1 1 1 9 1 4 1 1 1 1 1 9 1 1 1 9 1 1 1 1 1 1 1 9 1 1 1 9 9 9 9 9 9 9 9 9 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 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 9 9 9 9 9 9 9 9 9 1\n1 1 9 9 9 9 9 9 9 9 9 1\n1 1 9 9 9 9 9 9 9 9 9 1\n1 1 9 9 1 4 1 1 9 9 9 1\n1 1 9 9 1 1 4 1 9 9 9 1\n1 1 9 9 1 1 1 4 9 9 9 1\n1 1 9 9 4 1 1 1 9 9 9 1\n1 1 9 9 9 9 9 9 9 9 9 1\n1 1 9 9 9 9 9 9 9 9 9 1\n1 1 1 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:\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 9 9 9 9 9 9 9 9 1 1\n1 9 1 1 1 1 1 1 9 1 1\n1 9 1 1 1 1 1 1 9 1 1\n1 9 1 1 4 1 1 1 9 1 1\n1 9 1 4 1 1 1 1 9 1 1\n1 9 1 1 1 1 1 1 9 1 1\n1 9 1 1 1 1 1 1 9 1 1\n1 9 9 9 9 9 9 9 9 1 1\n1 1 1 1 1 1 1 1 1 1 1\nOutput:\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 9 9 9 9 9 9 9 9 1 1\n1 9 9 9 9 9 9 9 9 1 1\n1 9 9 9 9 9 9 9 9 1 1\n1 9 9 1 4 9 9 9 9 1 1\n1 9 9 4 1 9 9 9 9 1 1\n1 9 9 9 9 9 9 9 9 1 1\n1 9 9 9 9 9 9 9 9 1 1\n1 9 9 9 9 9 9 9 9 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 1 1 1 1 1 1 1 1 1\n1 9 9 9 9 9 9 9 9 9 9 1\n1 9 1 1 1 1 1 1 1 1 9 1\n1 9 1 1 4 1 1 4 1 1 9 1\n1 9 1 1 1 1 4 1 1 1 9 1\n1 9 1 1 4 1 1 1 1 1 9 1\n1 9 1 1 1 1 1 1 1 1 9 1\n1 9 1 1 1 1 1 1 1 1 9 1\n1 9 9 9 9 9 9 9 9 9 9 1\n1 1 1 1 1 1 1 1 1 1 1 1\nOutput:\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 9 9 9 9 9 9 9 9 9 9 1\n1 9 9 9 9 9 9 9 9 9 9 1\n1 9 9 9 4 1 1 4 9 9 9 1\n1 9 9 9 1 1 4 1 9 9 9 1\n1 9 9 9 4 1 1 1 9 9 9 1\n1 9 9 9 9 9 9 9 9 9 9 1\n1 9 9 9 9 9 9 9 9 9 9 1\n1 9 9 9 9 9 9 9 9 9 9 1\n1 1 1 1 1 1 1 1 1 1 1 1\n\nExample 3:\n\nInput:\n1 1 1 1 1 1 1 1 1 1 1\n1 9 9 9 9 9 9 9 9 1 1\n1 9 1 1 1 1 1 1 9 1 1\n1 9 1 1 1 4 1 1 9 1 1\n1 9 1 4 1 1 4 1 9 1 1\n1 9 1 1 1 1 1 1 9 1 1\n1 9 9 9 9 9 9 9 9 1 1\n1 1 1 1 1 1 1 1 1 1 1\nOutput:\n1 1 1 1 1 1 1 1 1 1 1\n1 9 9 9 9 9 9 9 9 1 1\n1 9 9 9 9 9 9 9 9 1 1\n1 9 9 1 1 4 1 9 9 1 1\n1 9 9 4 1 1 4 9 9 1 1\n1 9 9 9 9 9 9 9 9 1 1\n1 9 9 9 9 9 9 9 9 1 1\n1 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\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 9 9 9 9 9 9 9 9 9 1\n1 1 9 1 1 1 1 1 1 1 9 1\n1 1 9 1 1 1 1 1 1 1 9 1\n1 1 9 1 1 4 1 1 1 1 9 1\n1 1 9 1 1 1 4 1 1 1 9 1\n1 1 9 1 1 1 1 4 1 1 9 1\n1 1 9 1 4 1 1 1 1 1 9 1\n1 1 9 1 1 1 1 1 1 1 9 1\n1 1 9 9 9 9 9 9 9 9 9 1\n1 1 1 1 1 1 1 1 1 1 1 1\n", "answer": "1 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 9 9 9 9 9 9 9 9 9 1\n1 1 9 9 9 9 9 9 9 9 9 1\n1 1 9 9 9 9 9 9 9 9 9 1\n1 1 9 9 1 4 1 1 9 9 9 1\n1 1 9 9 1 1 4 1 9 9 9 1\n1 1 9 9 1 1 1 4 9 9 9 1\n1 1 9 9 4 1 1 1 9 9 9 1\n1 1 9 9 9 9 9 9 9 9 9 1\n1 1 9 9 9 9 9 9 9 9 9 1\n1 1 1 1 1 1 1 1 1 1 1 1", "metadata": {"source_dataset": "arc_agi", "source_index": 127, "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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1], [1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 9, 1], [1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 9, 1], [1, 1, 9, 1, 1, 4, 1, 1, 1, 1, 9, 1], [1, 1, 9, 1, 1, 1, 4, 1, 1, 1, 9, 1], [1, 1, 9, 1, 1, 1, 1, 4, 1, 1, 9, 1], [1, 1, 9, 1, 4, 1, 1, 1, 1, 1, 9, 1], [1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 9, 1], [1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1], [1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1], [1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1], [1, 1, 9, 9, 1, 4, 1, 1, 9, 9, 9, 1], [1, 1, 9, 9, 1, 1, 4, 1, 9, 9, 9, 1], [1, 1, 9, 9, 1, 1, 1, 4, 9, 9, 9, 1], [1, 1, 9, 9, 4, 1, 1, 1, 9, 9, 9, 1], [1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1], [1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], "task_id": "d37a1ef5", "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": 127, "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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1], [1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 9, 1], [1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 9, 1], [1, 1, 9, 1, 1, 4, 1, 1, 1, 1, 9, 1], [1, 1, 9, 1, 1, 1, 4, 1, 1, 1, 9, 1], [1, 1, 9, 1, 1, 1, 1, 4, 1, 1, 9, 1], [1, 1, 9, 1, 4, 1, 1, 1, 1, 1, 9, 1], [1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 9, 1], [1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1], [1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1], [1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1], [1, 1, 9, 9, 1, 4, 1, 1, 9, 9, 9, 1], [1, 1, 9, 9, 1, 1, 4, 1, 9, 9, 9, 1], [1, 1, 9, 9, 1, 1, 1, 4, 9, 9, 9, 1], [1, 1, 9, 9, 4, 1, 1, 1, 9, 9, 9, 1], [1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1], [1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], "task_id": "d37a1ef5", "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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 6 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 6 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 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 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 2 6 2 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 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 2 2 2 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 2 6 6 6 6 6 6 2 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 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 2 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 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 2 2 6 2 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 6 6 6 6 6 6 6 6 6 6 6 6 Output: 6 6 2 2 6 2 2 2 2 2 2 6 6 2 6 6 Example 2: Input: 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 6 4 6 6 6 4 4 4 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 4 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 6 6 6 6 6 6 6 6 6 4 4 6 6 6 6 6 6 6 4 6 4 6 6 6 6 6 6 6 4 4 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 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 Output: 6 6 6 6 4 6 4 6 4 6 4 4 4 6 6 6 4 4 4 6 6 4 4 6 6 6 4 6 4 6 6 6 6 6 4 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 6 6 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 6 6 6 6 6 6 3 6 6 6 6 6 6 6 6 6 6 6 6 6 3 3 6 6 6 6 3 3 6 3 6 6 6 6 6 6 6 6 6 3 3 3 6 6 6 6 6 6 3 3 3 6 6 6 6 6 6 6 6 6 3 6 3 6 6 6 6 6 6 6 6 3 3 6 6 6 6 6 6 6 6 6 3 6 6 6 6 6 6 6 3 3 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 3 3 6 3 6 6 6 6 6 6 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 6 6 6 6 6 6 6 6 6 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 3 6 6 6 6 6 6 6 3 6 3 6 3 6 6 6 6 6 6 6 3 3 6 3 6 6 6 6 6 3 3 3 3 6 6 6 6 6 6 6 6 3 3 3 3 6 6 6 6 6 3 6 3 6 6 6 6 6 6 6 6 6 3 6 3 6 6 6 6 6 6 3 3 3 3 6 6 6 6 6 6 6 6 3 3 3 3 6 6 6 6 6 3 6 3 6 3 6 6 6 6 6 6 6 3 3 6 3 6 6 6 6 6 6 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 6 6 6 6 6 6 6 6 3 6 6 6 6 Output: 6 3 6 6 6 6 3 3 3 3 3 6 3 6 3 6 6 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 1 1 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 6 1 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 1 1 1 1 1 6 6 6 1 1 6 1 6 6 6 6 6 6 6 6 1 1 6 1 6 1 6 6 6 6 6 1 1 6 6 6 6 6 6 6 6 6 6 1 1 6 6 1 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 1 1 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 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 1 1 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 1 1 6 1 6 6 6 6 6 6 6 1 6 1 1 6 1 6 6 6 6 6 1 1 6 1 6 6 6 6 6 6 6 6 1 1 6 1 1 6 6 6 6 6 6 1 1 6 6 6 6 6 6 6 6 6 1 1 6 1 1 6 6 6 6 6 1 1 6 6 6 6 6 6 6 6 6 1 6 1 1 6 1 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
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "6 1 1 6 1 1 1\n1 1 6 1 6 1 6\n1 1 1 1 1 1 1\n1 1 6 1 6 1 6\n6 1 1 6 6 1 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 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 6 6 6\n6 6 6 6 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 6 6 6\n6 6 6 6 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 2 6 6 2 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 2 6 2 2 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 2 6 2 2 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 2 6 6 2 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 2 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 6 2 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 6 2 6 6 6 6 6 6\n6 6 6 6 6 6 2 2 6 6 6 6 6 6 2 6 6 6 6 6 6 6 6\n6 6 6 6 6 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 6\n6 6 6 6 6 2 6 6 6 6 6 6 6 6 6 6 6 6 2 2 6 2 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 6 2 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\nOutput:\n6 6 2 2\n6 2 2 2\n2 2 2 6\n6 2 6 6\n\nExample 2:\n\nInput:\n6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 4 4 6 4 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 4 6 4 4 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 4 6 4 4 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 4 4 6 4 6 6 6 4 4 4 6 6 6\n6 6 6 6 6 6 6 6 4 6 6 6 6 4 6 4 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 4 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 6 6 6\n6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 4 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 4 4 6 6 6 6 6 6 6 6 6 4 4 6 6 6\n6 6 6 6 4 6 4 6 6 6 6 6 6 6 4 4 6 6 6 6\n6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 4 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 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 4\n6 4 6 4 6\n4 4 4 6 6\n6 4 4 4 6\n6 4 4 6 6\n6 4 6 4 6\n6 6 6 6 4\n\nExample 3:\n\nInput:\n6 6 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 6\n6 6 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 6\n6 6 6 6 3 6 6 6 6 6 6 6 3 6 6 6 6 6 6 6 6\n6 6 6 6 6 3 3 6 6 6 6 3 3 6 3 6 6 6 6 6 6\n6 6 6 3 3 3 6 6 6 6 6 6 3 3 3 6 6 6 6 6 6\n6 6 6 3 6 3 6 6 6 6 6 6 6 6 3 3 6 6 6 6 6\n6 6 6 6 3 6 6 6 6 6 6 6 3 3 3 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 3 3 6 3 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 3 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 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 3 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 3 6 6 6 6\n6 6 6 3 6 3 6 3 6 6 6 6 6 6 6 3 3 6 3 6 6\n6 6 6 3 3 3 3 6 6 6 6 6 6 6 6 3 3 3 3 6 6\n6 6 6 3 6 3 6 6 6 6 6 6 6 6 6 3 6 3 6 6 6\n6 6 6 3 3 3 3 6 6 6 6 6 6 6 6 3 3 3 3 6 6\n6 6 6 3 6 3 6 3 6 6 6 6 6 6 6 3 3 6 3 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 3 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 3 6 6 6 6\nOutput:\n6 3 6 6\n6 6 3 3\n3 3 3 6\n3 6 3 6\n6 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 6 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 6 6\n6 6 6 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 6 6\n6 6 6 6 6 6 6 6 1 1 6 1 1 1 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 1 1 6 1 6 1 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 1 1 1 1 1 1 1 6 6 6 1 1 6 1 6\n6 6 6 6 6 6 6 1 1 6 1 6 1 6 6 6 6 6 1 1 6 6\n6 6 6 6 6 6 6 6 1 1 6 6 1 6 6 6 6 6 1 1 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 6 1 6\n6 6 6 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 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 1 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 1 1 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6\n6 6 6 6 1 1 6 1 6 6 6 6 6 6 6 1 6 1 1 6 1 6\n6 6 6 6 1 1 6 1 6 6 6 6 6 6 6 6 1 1 6 1 1 6\n6 6 6 6 6 1 1 6 6 6 6 6 6 6 6 6 1 1 6 1 1 6\n6 6 6 6 1 1 6 6 6 6 6 6 6 6 6 1 6 1 1 6 1 6\n6 6 6 6 6 6 6 6 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 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 6 6\n", "answer": "6 1 1 6 1 1 1\n1 1 6 1 6 1 6\n1 1 1 1 1 1 1\n1 1 6 1 6 1 6\n6 1 1 6 6 1 6", "metadata": {"source_dataset": "arc_agi", "source_index": 128, "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, 1, 1, 6, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 1, 1, 6, 1, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 1, 1, 6, 1, 6], [6, 6, 6, 6, 6, 6, 6, 1, 1, 6, 1, 6, 1, 6, 6, 6, 6, 6, 1, 1, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 6, 6, 1, 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, 1, 1, 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, 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, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6], [6, 6, 6, 6, 1, 1, 6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 6, 1, 1, 6, 1, 6], [6, 6, 6, 6, 1, 1, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 6, 1, 1, 6], [6, 6, 6, 6, 6, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 6, 1, 1, 6], [6, 6, 6, 6, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 1, 1, 6, 1, 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]], "output": [[6, 1, 1, 6, 1, 1, 1], [1, 1, 6, 1, 6, 1, 6], [1, 1, 1, 1, 1, 1, 1], [1, 1, 6, 1, 6, 1, 6], [6, 1, 1, 6, 6, 1, 6]], "task_id": "73ccf9c2", "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": 128, "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, 1, 1, 6, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 1, 1, 6, 1, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 1, 1, 6, 1, 6], [6, 6, 6, 6, 6, 6, 6, 1, 1, 6, 1, 6, 1, 6, 6, 6, 6, 6, 1, 1, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 6, 6, 1, 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, 1, 1, 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, 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, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6], [6, 6, 6, 6, 1, 1, 6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 6, 1, 1, 6, 1, 6], [6, 6, 6, 6, 1, 1, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 6, 1, 1, 6], [6, 6, 6, 6, 6, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 6, 1, 1, 6], [6, 6, 6, 6, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 1, 1, 6, 1, 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]], "output": [[6, 1, 1, 6, 1, 1, 1], [1, 1, 6, 1, 6, 1, 6], [1, 1, 1, 1, 1, 1, 1], [1, 1, 6, 1, 6, 1, 6], [6, 1, 1, 6, 6, 1, 6]], "task_id": "73ccf9c2", "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: 7 8 1 1 1 1 8 9 8 8 8 8 8 8 8 8 1 8 1 1 5 1 8 1 1 8 5 1 5 5 8 1 1 8 1 5 1 1 8 1 1 8 5 5 1 5 8 1 8 8 8 8 8 8 8 8 0 8 1 1 1 1 8 3 Output: 1 1 9 1 7 1 9 9 1 0 1 1 0 0 1 3 Example 2: Input: 3 8 1 1 8 6 8 8 8 8 8 8 1 8 5 5 8 1 1 8 1 5 8 1 8 8 8 8 8 8 7 8 1 1 8 9 Output: 3 6 1 9 Example 3: Input: 9 8 1 1 1 1 8 0 8 8 8 8 8 8 8 8 1 8 5 1 5 1 8 1 1 8 1 5 5 5 8 1 1 8 5 5 1 5 8 1 1 8 1 5 5 5 8 1 8 8 8 8 8 8 8 8 3 8 1 1 1 1 8 2 Output: 9 1 0 1 1 9 0 0 3 3 1 2 1 3 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 8 1 1 1 1 1 1 8 7 8 8 8 8 8 8 8 8 8 8 1 8 1 1 1 5 5 1 8 1 1 8 1 5 1 5 5 5 8 1 1 8 1 5 1 5 1 1 8 1 1 8 1 5 5 1 5 1 8 1 1 8 5 1 5 1 5 5 8 1 1 8 1 5 1 1 5 1 8 1 8 8 8 8 8 8 8 8 8 8 4 8 1 1 1 1 1 1 8 2
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 1 1 7 7 1\n1 3 1 7 7 7\n1 3 1 7 1 1\n1 4 4 1 2 1\n4 1 4 1 2 2\n1 4 1 1 2 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:\n7 8 1 1 1 1 8 9\n8 8 8 8 8 8 8 8\n1 8 1 1 5 1 8 1\n1 8 5 1 5 5 8 1\n1 8 1 5 1 1 8 1\n1 8 5 5 1 5 8 1\n8 8 8 8 8 8 8 8\n0 8 1 1 1 1 8 3\nOutput:\n1 1 9 1\n7 1 9 9\n1 0 1 1\n0 0 1 3\n\nExample 2:\n\nInput:\n3 8 1 1 8 6\n8 8 8 8 8 8\n1 8 5 5 8 1\n1 8 1 5 8 1\n8 8 8 8 8 8\n7 8 1 1 8 9\nOutput:\n3 6\n1 9\n\nExample 3:\n\nInput:\n9 8 1 1 1 1 8 0\n8 8 8 8 8 8 8 8\n1 8 5 1 5 1 8 1\n1 8 1 5 5 5 8 1\n1 8 5 5 1 5 8 1\n1 8 1 5 5 5 8 1\n8 8 8 8 8 8 8 8\n3 8 1 1 1 1 8 2\nOutput:\n9 1 0 1\n1 9 0 0\n3 3 1 2\n1 3 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:\n3 8 1 1 1 1 1 1 8 7\n8 8 8 8 8 8 8 8 8 8\n1 8 1 1 1 5 5 1 8 1\n1 8 1 5 1 5 5 5 8 1\n1 8 1 5 1 5 1 1 8 1\n1 8 1 5 5 1 5 1 8 1\n1 8 5 1 5 1 5 5 8 1\n1 8 1 5 1 1 5 1 8 1\n8 8 8 8 8 8 8 8 8 8\n4 8 1 1 1 1 1 1 8 2\n", "answer": "1 1 1 7 7 1\n1 3 1 7 7 7\n1 3 1 7 1 1\n1 4 4 1 2 1\n4 1 4 1 2 2\n1 4 1 1 2 1", "metadata": {"source_dataset": "arc_agi", "source_index": 129, "input": [[3, 8, 1, 1, 1, 1, 1, 1, 8, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [1, 8, 1, 1, 1, 5, 5, 1, 8, 1], [1, 8, 1, 5, 1, 5, 5, 5, 8, 1], [1, 8, 1, 5, 1, 5, 1, 1, 8, 1], [1, 8, 1, 5, 5, 1, 5, 1, 8, 1], [1, 8, 5, 1, 5, 1, 5, 5, 8, 1], [1, 8, 1, 5, 1, 1, 5, 1, 8, 1], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 8, 1, 1, 1, 1, 1, 1, 8, 2]], "output": [[1, 1, 1, 7, 7, 1], [1, 3, 1, 7, 7, 7], [1, 3, 1, 7, 1, 1], [1, 4, 4, 1, 2, 1], [4, 1, 4, 1, 2, 2], [1, 4, 1, 1, 2, 1]], "task_id": "77fdfe62", "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": 129, "input": [[3, 8, 1, 1, 1, 1, 1, 1, 8, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [1, 8, 1, 1, 1, 5, 5, 1, 8, 1], [1, 8, 1, 5, 1, 5, 5, 5, 8, 1], [1, 8, 1, 5, 1, 5, 1, 1, 8, 1], [1, 8, 1, 5, 5, 1, 5, 1, 8, 1], [1, 8, 5, 1, 5, 1, 5, 5, 8, 1], [1, 8, 1, 5, 1, 1, 5, 1, 8, 1], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 8, 1, 1, 1, 1, 1, 1, 8, 2]], "output": [[1, 1, 1, 7, 7, 1], [1, 3, 1, 7, 7, 7], [1, 3, 1, 7, 1, 1], [1, 4, 4, 1, 2, 1], [4, 1, 4, 1, 2, 2], [1, 4, 1, 1, 2, 1]], "task_id": "77fdfe62", "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 2 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 2 2 2 0 0 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 7 0 0 Example 2: Input: 0 0 0 0 3 3 3 0 0 0 0 0 3 0 3 0 3 3 3 0 0 0 0 0 3 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 Output: 0 0 0 0 3 3 3 0 0 0 0 0 3 0 3 0 3 3 3 0 0 0 0 0 3 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 7 0 0 0 7 0 0 Example 3: Input: 0 0 0 0 0 0 0 0 0 0 5 5 5 0 3 3 3 5 0 5 0 3 0 3 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 5 5 5 0 3 3 3 5 0 5 0 3 0 3 0 0 0 0 0 7 0 0 7 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 8 8 8 0 0 0 0 5 5 5 0 8 0 8 0 2 2 2 5 0 5 0 0 0 0 0 2 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 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 8 8 8 0\n0 0 0 5 5 5 0 8 0 8 0\n2 2 2 5 0 5 0 0 0 0 0\n2 0 2 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 7 0 0 7 0 0 0 7 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 2 2 2 0\n0 2 0 2 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 0 0 0\nOutput:\n0 2 2 2 0\n0 2 0 2 0\n0 0 0 0 0\n0 0 0 0 0\n0 0 7 0 0\n\nExample 2:\n\nInput:\n0 0 0 0 3 3 3 0\n0 0 0 0 3 0 3 0\n3 3 3 0 0 0 0 0\n3 0 3 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\nOutput:\n0 0 0 0 3 3 3 0\n0 0 0 0 3 0 3 0\n3 3 3 0 0 0 0 0\n3 0 3 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 7 0 0 0 7 0 0\n\nExample 3:\n\nInput:\n0 0 0 0 0 0 0\n0 0 0 5 5 5 0\n3 3 3 5 0 5 0\n3 0 3 0 0 0 0\n0 0 0 0 0 0 0\nOutput:\n0 0 0 0 0 0 0\n0 0 0 5 5 5 0\n3 3 3 5 0 5 0\n3 0 3 0 0 0 0\n0 7 0 0 7 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 8 8 8 0\n0 0 0 5 5 5 0 8 0 8 0\n2 2 2 5 0 5 0 0 0 0 0\n2 0 2 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\n", "answer": "0 0 0 0 0 0 0 8 8 8 0\n0 0 0 5 5 5 0 8 0 8 0\n2 2 2 5 0 5 0 0 0 0 0\n2 0 2 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 7 0 0 7 0 0 0 7 0 0", "metadata": {"source_dataset": "arc_agi", "source_index": 130, "input": [[0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 5, 5, 5, 0, 8, 0, 8, 0], [2, 2, 2, 5, 0, 5, 0, 0, 0, 0, 0], [2, 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, 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, 0, 5, 5, 5, 0, 8, 0, 8, 0], [2, 2, 2, 5, 0, 5, 0, 0, 0, 0, 0], [2, 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, 0], [0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0]], "task_id": "54d82841", "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": 130, "input": [[0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0], [0, 0, 0, 5, 5, 5, 0, 8, 0, 8, 0], [2, 2, 2, 5, 0, 5, 0, 0, 0, 0, 0], [2, 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, 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, 0, 5, 5, 5, 0, 8, 0, 8, 0], [2, 2, 2, 5, 0, 5, 0, 0, 0, 0, 0], [2, 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, 0], [0, 7, 0, 0, 7, 0, 0, 0, 7, 0, 0]], "task_id": "54d82841", "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 9 6 8 8 8 8 8 8 8 8 8 8 0 7 9 4 4 4 4 4 4 4 4 4 8 8 4 4 4 4 4 9 4 4 9 4 8 8 4 4 9 4 4 4 9 4 4 4 8 8 4 4 4 4 4 4 9 4 4 4 8 8 4 4 4 4 4 4 4 4 4 4 8 8 9 4 4 4 4 4 4 4 4 9 8 8 4 4 4 4 9 4 4 4 4 4 8 8 4 4 4 4 4 4 4 4 4 4 8 8 4 9 9 4 4 4 4 4 9 4 8 8 4 4 4 4 4 4 9 4 4 4 8 8 Output: 8 8 8 8 8 8 8 8 8 8 9 6 8 8 8 8 8 8 8 8 8 8 0 7 9 4 4 4 4 4 4 4 4 4 8 8 4 4 4 4 4 6 4 4 6 4 8 8 4 4 9 4 4 4 6 4 4 4 8 8 4 4 4 4 4 4 6 4 4 4 8 8 4 4 4 4 4 4 4 4 4 4 8 8 0 4 4 4 4 4 4 4 4 7 8 8 4 4 4 4 0 4 4 4 4 4 8 8 4 4 4 4 4 4 4 4 4 4 8 8 4 0 0 4 4 4 4 4 7 4 8 8 4 4 4 4 4 4 7 4 4 4 8 8 Example 2: Input: 0 4 4 4 4 0 4 4 8 8 4 4 4 4 4 4 4 4 8 8 4 4 0 0 4 0 4 4 8 8 4 0 4 4 4 4 4 0 8 8 4 4 4 4 4 4 4 4 8 8 4 4 4 0 4 4 4 4 8 8 4 0 4 4 4 4 0 4 8 8 4 4 4 4 4 4 4 4 8 8 8 8 8 8 8 8 8 8 9 7 8 8 8 8 8 8 8 8 3 0 Output: 9 4 4 4 4 7 4 4 8 8 4 4 4 4 4 4 4 4 8 8 4 4 9 9 4 7 4 4 8 8 4 9 4 4 4 4 4 7 8 8 4 4 4 4 4 4 4 4 8 8 4 4 4 3 4 4 4 4 8 8 4 3 4 4 4 4 0 4 8 8 4 4 4 4 4 4 4 4 8 8 8 8 8 8 8 8 8 8 9 7 8 8 8 8 8 8 8 8 3 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 0 8 8 8 8 8 8 8 8 8 8 8 8 1 3 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 8 8 4 4 0 4 4 4 4 4 0 4 4 4 8 8 4 4 4 4 4 4 4 4 4 4 0 4 8 8 4 0 4 4 0 4 4 0 4 4 4 4 8 8 4 0 4 4 4 4 4 4 4 4 0 4 8 8 4 4 4 4 4 4 4 4 4 4 4 4 8 8 4 4 4 4 0 4 4 4 4 4 4 4 8 8 4 4 0 4 4 4 0 4 4 4 4 4 8 8 4 4 4 4 4 4 4 4 4 0 0 4 8 8 4 4 4 4 4 4 4 4 4 4 4 4 8 8 0 4 4 4 4 0 4 4 4 4 4 0 8 8 4 4 4 4 0 4 4 4 4 0 4 4
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 0 8 8 8 8 8 8 8 8 8 8 8 8\n1 3 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 4 4 4 4 4 4 4 4 4 4 4 4\n8 8 4 4 7 4 4 4 4 4 0 4 4 4\n8 8 4 4 4 4 4 4 4 4 4 4 0 4\n8 8 4 7 4 4 7 4 4 0 4 4 4 4\n8 8 4 7 4 4 4 4 4 4 4 4 0 4\n8 8 4 4 4 4 4 4 4 4 4 4 4 4\n8 8 4 4 4 4 1 4 4 4 4 4 4 4\n8 8 4 4 1 4 4 4 3 4 4 4 4 4\n8 8 4 4 4 4 4 4 4 4 4 3 3 4\n8 8 4 4 4 4 4 4 4 4 4 4 4 4\n8 8 1 4 4 4 4 1 4 4 4 4 4 3\n8 8 4 4 4 4 1 4 4 4 4 3 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:\n8 8 8 8 8 8 8 8 8 8 9 6\n8 8 8 8 8 8 8 8 8 8 0 7\n9 4 4 4 4 4 4 4 4 4 8 8\n4 4 4 4 4 9 4 4 9 4 8 8\n4 4 9 4 4 4 9 4 4 4 8 8\n4 4 4 4 4 4 9 4 4 4 8 8\n4 4 4 4 4 4 4 4 4 4 8 8\n9 4 4 4 4 4 4 4 4 9 8 8\n4 4 4 4 9 4 4 4 4 4 8 8\n4 4 4 4 4 4 4 4 4 4 8 8\n4 9 9 4 4 4 4 4 9 4 8 8\n4 4 4 4 4 4 9 4 4 4 8 8\nOutput:\n8 8 8 8 8 8 8 8 8 8 9 6\n8 8 8 8 8 8 8 8 8 8 0 7\n9 4 4 4 4 4 4 4 4 4 8 8\n4 4 4 4 4 6 4 4 6 4 8 8\n4 4 9 4 4 4 6 4 4 4 8 8\n4 4 4 4 4 4 6 4 4 4 8 8\n4 4 4 4 4 4 4 4 4 4 8 8\n0 4 4 4 4 4 4 4 4 7 8 8\n4 4 4 4 0 4 4 4 4 4 8 8\n4 4 4 4 4 4 4 4 4 4 8 8\n4 0 0 4 4 4 4 4 7 4 8 8\n4 4 4 4 4 4 7 4 4 4 8 8\n\nExample 2:\n\nInput:\n0 4 4 4 4 0 4 4 8 8\n4 4 4 4 4 4 4 4 8 8\n4 4 0 0 4 0 4 4 8 8\n4 0 4 4 4 4 4 0 8 8\n4 4 4 4 4 4 4 4 8 8\n4 4 4 0 4 4 4 4 8 8\n4 0 4 4 4 4 0 4 8 8\n4 4 4 4 4 4 4 4 8 8\n8 8 8 8 8 8 8 8 9 7\n8 8 8 8 8 8 8 8 3 0\nOutput:\n9 4 4 4 4 7 4 4 8 8\n4 4 4 4 4 4 4 4 8 8\n4 4 9 9 4 7 4 4 8 8\n4 9 4 4 4 4 4 7 8 8\n4 4 4 4 4 4 4 4 8 8\n4 4 4 3 4 4 4 4 8 8\n4 3 4 4 4 4 0 4 8 8\n4 4 4 4 4 4 4 4 8 8\n8 8 8 8 8 8 8 8 9 7\n8 8 8 8 8 8 8 8 3 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 0 8 8 8 8 8 8 8 8 8 8 8 8\n1 3 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 4 4 4 4 4 4 4 4 4 4 4 4\n8 8 4 4 0 4 4 4 4 4 0 4 4 4\n8 8 4 4 4 4 4 4 4 4 4 4 0 4\n8 8 4 0 4 4 0 4 4 0 4 4 4 4\n8 8 4 0 4 4 4 4 4 4 4 4 0 4\n8 8 4 4 4 4 4 4 4 4 4 4 4 4\n8 8 4 4 4 4 0 4 4 4 4 4 4 4\n8 8 4 4 0 4 4 4 0 4 4 4 4 4\n8 8 4 4 4 4 4 4 4 4 4 0 0 4\n8 8 4 4 4 4 4 4 4 4 4 4 4 4\n8 8 0 4 4 4 4 0 4 4 4 4 4 0\n8 8 4 4 4 4 0 4 4 4 4 0 4 4\n", "answer": "7 0 8 8 8 8 8 8 8 8 8 8 8 8\n1 3 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 4 4 4 4 4 4 4 4 4 4 4 4\n8 8 4 4 7 4 4 4 4 4 0 4 4 4\n8 8 4 4 4 4 4 4 4 4 4 4 0 4\n8 8 4 7 4 4 7 4 4 0 4 4 4 4\n8 8 4 7 4 4 4 4 4 4 4 4 0 4\n8 8 4 4 4 4 4 4 4 4 4 4 4 4\n8 8 4 4 4 4 1 4 4 4 4 4 4 4\n8 8 4 4 1 4 4 4 3 4 4 4 4 4\n8 8 4 4 4 4 4 4 4 4 4 3 3 4\n8 8 4 4 4 4 4 4 4 4 4 4 4 4\n8 8 1 4 4 4 4 1 4 4 4 4 4 3\n8 8 4 4 4 4 1 4 4 4 4 3 4 4", "metadata": {"source_dataset": "arc_agi", "source_index": 131, "input": [[7, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [1, 3, 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], [8, 8, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4], [8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4], [8, 8, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4], [8, 8, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4], [8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4], [8, 8, 4, 4, 0, 4, 4, 4, 0, 4, 4, 4, 4, 4], [8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 4], [8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0], [8, 8, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4]], "output": [[7, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [1, 3, 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], [8, 8, 4, 4, 7, 4, 4, 4, 4, 4, 0, 4, 4, 4], [8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4], [8, 8, 4, 7, 4, 4, 7, 4, 4, 0, 4, 4, 4, 4], [8, 8, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4], [8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4], [8, 8, 4, 4, 1, 4, 4, 4, 3, 4, 4, 4, 4, 4], [8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4], [8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 1, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 3], [8, 8, 4, 4, 4, 4, 1, 4, 4, 4, 4, 3, 4, 4]], "task_id": "58743b76", "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": 131, "input": [[7, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [1, 3, 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], [8, 8, 4, 4, 0, 4, 4, 4, 4, 4, 0, 4, 4, 4], [8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4], [8, 8, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 4, 4], [8, 8, 4, 0, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4], [8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 4, 4], [8, 8, 4, 4, 0, 4, 4, 4, 0, 4, 4, 4, 4, 4], [8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 0, 4], [8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 4, 0], [8, 8, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4]], "output": [[7, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [1, 3, 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], [8, 8, 4, 4, 7, 4, 4, 4, 4, 4, 0, 4, 4, 4], [8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4], [8, 8, 4, 7, 4, 4, 7, 4, 4, 0, 4, 4, 4, 4], [8, 8, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4, 0, 4], [8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4], [8, 8, 4, 4, 1, 4, 4, 4, 3, 4, 4, 4, 4, 4], [8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4], [8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 1, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 3], [8, 8, 4, 4, 4, 4, 1, 4, 4, 4, 4, 3, 4, 4]], "task_id": "58743b76", "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: 7 1 0 1 1 7 4 4 1 0 1 1 0 4 4 4 4 4 7 7 1 7 1 0 7 4 4 4 1 0 1 1 4 4 4 4 4 4 4 7 1 1 4 4 4 4 4 4 4 1 0 1 4 4 1 1 7 1 4 1 0 7 4 4 1 1 1 7 7 0 1 7 0 7 1 7 1 7 7 0 7 7 7 4 4 4 4 4 7 1 1 1 0 0 7 1 0 1 7 1 Output: 7 1 0 1 1 7 4 4 1 0 1 1 0 4 4 4 4 4 7 7 1 7 1 0 7 4 4 4 1 0 1 1 4 4 4 4 4 4 4 7 1 1 4 4 4 4 4 4 4 1 0 1 4 4 4 4 4 4 4 1 0 7 4 4 4 4 4 4 4 0 1 7 0 7 1 4 4 4 7 0 7 7 7 4 4 4 4 4 7 1 1 1 0 0 7 1 4 4 7 1 Example 2: Input: 9 1 9 1 3 9 9 1 9 3 9 3 9 1 8 8 8 3 3 9 3 1 1 8 8 8 8 8 9 1 3 1 8 8 8 8 8 8 1 9 3 9 8 8 8 8 8 8 9 1 1 9 8 8 8 8 8 3 1 9 3 9 8 8 8 8 8 9 3 9 1 9 1 8 8 8 8 3 1 3 9 3 9 1 1 9 9 1 9 1 1 1 9 1 1 1 3 1 3 3 Output: 9 1 9 1 3 9 9 1 9 3 9 3 9 1 8 8 8 3 3 9 3 1 1 8 8 8 8 8 9 1 3 1 8 8 8 8 8 8 1 9 3 9 8 8 8 8 8 8 9 1 1 9 8 8 8 8 8 8 1 9 3 9 8 8 8 8 8 8 3 9 1 9 1 8 8 8 8 8 1 3 9 3 9 1 8 8 8 1 9 1 1 1 9 1 1 1 3 1 3 3 Example 3: Input: 8 6 6 1 1 1 5 6 1 6 8 6 1 6 1 6 5 8 6 1 1 1 5 5 8 1 5 6 6 6 8 6 5 5 5 5 5 8 6 6 8 5 5 5 5 5 5 5 5 1 1 5 5 1 5 1 5 5 8 6 1 8 5 1 8 5 5 6 8 8 1 6 5 8 1 1 5 6 6 8 6 6 8 8 8 1 5 8 6 6 8 6 1 1 1 1 5 6 8 1 Output: 8 6 6 1 1 1 5 6 1 6 8 6 1 6 1 6 5 8 6 1 1 1 5 5 8 1 5 6 6 6 8 6 5 5 5 5 5 8 6 6 8 5 5 5 5 5 5 5 5 1 1 5 5 5 5 5 5 5 5 6 1 8 5 5 5 5 5 6 8 8 1 6 5 5 1 1 5 6 6 8 6 6 8 8 8 1 5 8 6 6 8 6 1 1 1 1 5 6 8 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 5 5 5 7 7 1 5 1 9 1 9 9 1 7 7 1 7 1 1 9 1 9 1 7 7 7 7 5 1 9 9 7 7 7 7 7 7 7 5 9 7 7 7 7 7 7 7 1 1 9 1 7 1 7 7 7 7 9 9 1 9 7 7 9 7 9 7 7 1 9 1 1 9 1 7 9 9 1 9 9 5 9 1 1 1 1 5 5 9 1 9 9 5 1 1 1 9 9 5
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 5 5 5 7 7 1 5 1 9\n1 9 9 1 7 7 1 7 1 1\n9 1 9 1 7 7 7 7 5 1\n9 9 7 7 7 7 7 7 7 5\n9 7 7 7 7 7 7 7 1 1\n9 7 7 7 7 7 7 7 9 9\n1 9 7 7 7 7 7 7 7 1\n9 1 1 9 7 7 7 7 1 9\n9 5 9 1 7 7 1 7 5 9\n1 9 9 5 7 7 1 9 9 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:\n7 1 0 1 1 7 4 4 1 0\n1 1 0 4 4 4 4 4 7 7\n1 7 1 0 7 4 4 4 1 0\n1 1 4 4 4 4 4 4 4 7\n1 1 4 4 4 4 4 4 4 1\n0 1 4 4 1 1 7 1 4 1\n0 7 4 4 1 1 1 7 7 0\n1 7 0 7 1 7 1 7 7 0\n7 7 7 4 4 4 4 4 7 1\n1 1 0 0 7 1 0 1 7 1\nOutput:\n7 1 0 1 1 7 4 4 1 0\n1 1 0 4 4 4 4 4 7 7\n1 7 1 0 7 4 4 4 1 0\n1 1 4 4 4 4 4 4 4 7\n1 1 4 4 4 4 4 4 4 1\n0 1 4 4 4 4 4 4 4 1\n0 7 4 4 4 4 4 4 4 0\n1 7 0 7 1 4 4 4 7 0\n7 7 7 4 4 4 4 4 7 1\n1 1 0 0 7 1 4 4 7 1\n\nExample 2:\n\nInput:\n9 1 9 1 3 9 9 1 9 3\n9 3 9 1 8 8 8 3 3 9\n3 1 1 8 8 8 8 8 9 1\n3 1 8 8 8 8 8 8 1 9\n3 9 8 8 8 8 8 8 9 1\n1 9 8 8 8 8 8 3 1 9\n3 9 8 8 8 8 8 9 3 9\n1 9 1 8 8 8 8 3 1 3\n9 3 9 1 1 9 9 1 9 1\n1 1 9 1 1 1 3 1 3 3\nOutput:\n9 1 9 1 3 9 9 1 9 3\n9 3 9 1 8 8 8 3 3 9\n3 1 1 8 8 8 8 8 9 1\n3 1 8 8 8 8 8 8 1 9\n3 9 8 8 8 8 8 8 9 1\n1 9 8 8 8 8 8 8 1 9\n3 9 8 8 8 8 8 8 3 9\n1 9 1 8 8 8 8 8 1 3\n9 3 9 1 8 8 8 1 9 1\n1 1 9 1 1 1 3 1 3 3\n\nExample 3:\n\nInput:\n8 6 6 1 1 1 5 6 1 6\n8 6 1 6 1 6 5 8 6 1\n1 1 5 5 8 1 5 6 6 6\n8 6 5 5 5 5 5 8 6 6\n8 5 5 5 5 5 5 5 5 1\n1 5 5 1 5 1 5 5 8 6\n1 8 5 1 8 5 5 6 8 8\n1 6 5 8 1 1 5 6 6 8\n6 6 8 8 8 1 5 8 6 6\n8 6 1 1 1 1 5 6 8 1\nOutput:\n8 6 6 1 1 1 5 6 1 6\n8 6 1 6 1 6 5 8 6 1\n1 1 5 5 8 1 5 6 6 6\n8 6 5 5 5 5 5 8 6 6\n8 5 5 5 5 5 5 5 5 1\n1 5 5 5 5 5 5 5 5 6\n1 8 5 5 5 5 5 6 8 8\n1 6 5 5 1 1 5 6 6 8\n6 6 8 8 8 1 5 8 6 6\n8 6 1 1 1 1 5 6 8 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 5 5 5 7 7 1 5 1 9\n1 9 9 1 7 7 1 7 1 1\n9 1 9 1 7 7 7 7 5 1\n9 9 7 7 7 7 7 7 7 5\n9 7 7 7 7 7 7 7 1 1\n9 1 7 1 7 7 7 7 9 9\n1 9 7 7 9 7 9 7 7 1\n9 1 1 9 1 7 9 9 1 9\n9 5 9 1 1 1 1 5 5 9\n1 9 9 5 1 1 1 9 9 5\n", "answer": "1 5 5 5 7 7 1 5 1 9\n1 9 9 1 7 7 1 7 1 1\n9 1 9 1 7 7 7 7 5 1\n9 9 7 7 7 7 7 7 7 5\n9 7 7 7 7 7 7 7 1 1\n9 7 7 7 7 7 7 7 9 9\n1 9 7 7 7 7 7 7 7 1\n9 1 1 9 7 7 7 7 1 9\n9 5 9 1 7 7 1 7 5 9\n1 9 9 5 7 7 1 9 9 5", "metadata": {"source_dataset": "arc_agi", "source_index": 132, "input": [[1, 5, 5, 5, 7, 7, 1, 5, 1, 9], [1, 9, 9, 1, 7, 7, 1, 7, 1, 1], [9, 1, 9, 1, 7, 7, 7, 7, 5, 1], [9, 9, 7, 7, 7, 7, 7, 7, 7, 5], [9, 7, 7, 7, 7, 7, 7, 7, 1, 1], [9, 1, 7, 1, 7, 7, 7, 7, 9, 9], [1, 9, 7, 7, 9, 7, 9, 7, 7, 1], [9, 1, 1, 9, 1, 7, 9, 9, 1, 9], [9, 5, 9, 1, 1, 1, 1, 5, 5, 9], [1, 9, 9, 5, 1, 1, 1, 9, 9, 5]], "output": [[1, 5, 5, 5, 7, 7, 1, 5, 1, 9], [1, 9, 9, 1, 7, 7, 1, 7, 1, 1], [9, 1, 9, 1, 7, 7, 7, 7, 5, 1], [9, 9, 7, 7, 7, 7, 7, 7, 7, 5], [9, 7, 7, 7, 7, 7, 7, 7, 1, 1], [9, 7, 7, 7, 7, 7, 7, 7, 9, 9], [1, 9, 7, 7, 7, 7, 7, 7, 7, 1], [9, 1, 1, 9, 7, 7, 7, 7, 1, 9], [9, 5, 9, 1, 7, 7, 1, 7, 5, 9], [1, 9, 9, 5, 7, 7, 1, 9, 9, 5]], "task_id": "c35c1b4c", "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": 132, "input": [[1, 5, 5, 5, 7, 7, 1, 5, 1, 9], [1, 9, 9, 1, 7, 7, 1, 7, 1, 1], [9, 1, 9, 1, 7, 7, 7, 7, 5, 1], [9, 9, 7, 7, 7, 7, 7, 7, 7, 5], [9, 7, 7, 7, 7, 7, 7, 7, 1, 1], [9, 1, 7, 1, 7, 7, 7, 7, 9, 9], [1, 9, 7, 7, 9, 7, 9, 7, 7, 1], [9, 1, 1, 9, 1, 7, 9, 9, 1, 9], [9, 5, 9, 1, 1, 1, 1, 5, 5, 9], [1, 9, 9, 5, 1, 1, 1, 9, 9, 5]], "output": [[1, 5, 5, 5, 7, 7, 1, 5, 1, 9], [1, 9, 9, 1, 7, 7, 1, 7, 1, 1], [9, 1, 9, 1, 7, 7, 7, 7, 5, 1], [9, 9, 7, 7, 7, 7, 7, 7, 7, 5], [9, 7, 7, 7, 7, 7, 7, 7, 1, 1], [9, 7, 7, 7, 7, 7, 7, 7, 9, 9], [1, 9, 7, 7, 7, 7, 7, 7, 7, 1], [9, 1, 1, 9, 7, 7, 7, 7, 1, 9], [9, 5, 9, 1, 7, 7, 1, 7, 5, 9], [1, 9, 9, 5, 7, 7, 1, 9, 9, 5]], "task_id": "c35c1b4c", "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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 0 0 0 2 2 2 2 2 2 2 2 2 2 2 0 5 5 0 2 2 2 2 2 2 2 2 2 2 2 0 5 5 0 2 2 2 2 2 2 2 2 2 2 2 0 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 2 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 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 2 2 2 2 2 2 2 5 5 5 5 5 5 5 5 2 2 2 2 2 2 2 5 5 0 0 0 0 5 5 2 2 2 2 2 2 2 5 5 0 5 5 0 5 5 2 2 2 2 2 2 2 5 5 0 5 5 0 5 5 2 2 2 2 2 2 2 5 5 0 0 0 0 5 5 2 2 2 2 2 2 2 5 5 5 5 5 5 5 5 2 2 2 2 2 2 2 5 5 5 5 5 5 5 5 2 2 2 2 2 2 2 2 2 2 2 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 7 7 6 6 6 7 7 2 2 2 2 2 2 2 2 2 7 7 6 6 6 7 7 2 2 2 2 2 2 2 2 2 7 7 6 6 6 7 7 2 2 2 2 2 2 2 2 2 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 7 7 7 7 7 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 2 2 2 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 2 2 2 2 2 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 6 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 6 6 6 7 7 7 7 7 7 7 6 6 6 2 2 2 6 6 6 7 7 7 7 7 7 7 6 6 6 2 2 2 6 6 6 7 7 6 6 6 7 7 6 6 6 2 2 2 6 6 6 7 7 6 6 6 7 7 6 6 6 2 2 2 6 6 6 7 7 6 6 6 7 7 6 6 6 2 2 2 6 6 6 7 7 7 7 7 7 7 6 6 6 2 2 2 6 6 6 7 7 7 7 7 7 7 6 6 6 2 2 2 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 6 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 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 4 4 4 2 2 2 2 2 2 2 2 2 4 6 4 2 2 2 2 2 2 2 2 2 4 4 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 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 6 6 6 6 6 2 2 2 2 2 2 2 6 4 4 4 6 2 2 2 2 2 2 2 6 4 6 4 6 2 2 2 2 2 2 2 6 4 4 4 6 2 2 2 2 2 2 2 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 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 2 2 2 2 2 5 5 5 5 5 5 5 5 2 2 2 2 2 5 5 7 7 7 7 5 5 2 2 2 2 2 5 5 7 7 7 7 5 5 2 2 2 2 2 5 5 7 7 7 7 5 5 2 2 2 2 2 5 5 5 5 5 5 5 5 2 2 2 2 2 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 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 2 7 7 5 5 5 5 5 5 5 5 7 7 2 7 7 5 5 5 5 5 5 5 5 7 7 2 7 7 5 5 7 7 7 7 5 5 7 7 2 7 7 5 5 7 7 7 7 5 5 7 7 2 7 7 5 5 7 7 7 7 5 5 7 7 2 7 7 5 5 5 5 5 5 5 5 7 7 2 7 7 5 5 5 5 5 5 5 5 7 7 2 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 Example 5: 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 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 4 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 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 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 2 2 2 2 2 2 2 4 4 4 4 4 4 4 2 2 2 2 2 2 4 3 3 3 3 3 4 2 2 2 2 2 2 4 3 3 3 3 3 4 2 2 2 2 2 2 4 3 3 4 3 3 4 2 2 2 2 2 2 4 3 3 3 3 3 4 2 2 2 2 2 2 4 3 3 3 3 3 4 2 2 2 2 2 2 4 4 4 4 4 4 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 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 1 1 1 1 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 1 1 1 1 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 1 1 1 1 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 1 1 1 1 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 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 2\n2 2 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 2\n2 2 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 2\n2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2\n2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2\n2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2\n2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2\n2 2 2 2 2 1 1 1 1 3 3 3 3 3 3 1 1 1 1 2 2\n2 2 2 2 2 1 1 1 1 3 1 1 1 1 3 1 1 1 1 2 2\n2 2 2 2 2 1 1 1 1 3 1 1 1 1 3 1 1 1 1 2 2\n2 2 2 2 2 1 1 1 1 3 1 1 1 1 3 1 1 1 1 2 2\n2 2 2 2 2 1 1 1 1 3 1 1 1 1 3 1 1 1 1 2 2\n2 2 2 2 2 1 1 1 1 3 3 3 3 3 3 1 1 1 1 2 2\n2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2\n2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2\n2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2\n2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 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 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 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 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 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 0 0 0 0 2 2 2\n2 2 2 2 2 2 2 2 0 5 5 0 2 2 2\n2 2 2 2 2 2 2 2 0 5 5 0 2 2 2\n2 2 2 2 2 2 2 2 0 0 0 0 2 2 2\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 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\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 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 2 5 5 5 5 5 5 5 5 2\n2 2 2 2 2 2 5 5 5 5 5 5 5 5 2\n2 2 2 2 2 2 5 5 0 0 0 0 5 5 2\n2 2 2 2 2 2 5 5 0 5 5 0 5 5 2\n2 2 2 2 2 2 5 5 0 5 5 0 5 5 2\n2 2 2 2 2 2 5 5 0 0 0 0 5 5 2\n2 2 2 2 2 2 5 5 5 5 5 5 5 5 2\n2 2 2 2 2 2 5 5 5 5 5 5 5 5 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n\nExample 2:\n\nInput:\n2 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\n2 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\n2 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\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 7 7 7 7 7 7 7 2 2 2\n2 2 2 2 2 2 7 7 7 7 7 7 7 2 2 2\n2 2 2 2 2 2 7 7 6 6 6 7 7 2 2 2\n2 2 2 2 2 2 7 7 6 6 6 7 7 2 2 2\n2 2 2 2 2 2 7 7 6 6 6 7 7 2 2 2\n2 2 2 2 2 2 7 7 7 7 7 7 7 2 2 2\n2 2 2 2 2 2 7 7 7 7 7 7 7 2 2 2\n2 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\n2 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\n2 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\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6\n2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6\n2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6\n2 2 2 6 6 6 7 7 7 7 7 7 7 6 6 6\n2 2 2 6 6 6 7 7 7 7 7 7 7 6 6 6\n2 2 2 6 6 6 7 7 6 6 6 7 7 6 6 6\n2 2 2 6 6 6 7 7 6 6 6 7 7 6 6 6\n2 2 2 6 6 6 7 7 6 6 6 7 7 6 6 6\n2 2 2 6 6 6 7 7 7 7 7 7 7 6 6 6\n2 2 2 6 6 6 7 7 7 7 7 7 7 6 6 6\n2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6\n2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6\n2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6\n\nExample 3:\n\nInput:\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\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 4 4 4 2 2 2\n2 2 2 2 2 2 4 6 4 2 2 2\n2 2 2 2 2 2 4 4 4 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\nOutput:\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\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 6 6 6 6 6 2 2\n2 2 2 2 2 6 4 4 4 6 2 2\n2 2 2 2 2 6 4 6 4 6 2 2\n2 2 2 2 2 6 4 4 4 6 2 2\n2 2 2 2 2 6 6 6 6 6 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\n\nExample 4:\n\nInput:\n2 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\n2 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\n2 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\n2 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\n2 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\n2 2 2 5 5 5 5 5 5 5 5 2 2\n2 2 2 5 5 5 5 5 5 5 5 2 2\n2 2 2 5 5 7 7 7 7 5 5 2 2\n2 2 2 5 5 7 7 7 7 5 5 2 2\n2 2 2 5 5 7 7 7 7 5 5 2 2\n2 2 2 5 5 5 5 5 5 5 5 2 2\n2 2 2 5 5 5 5 5 5 5 5 2 2\n2 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\nOutput:\n2 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\n2 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\n2 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\n2 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\n2 7 7 7 7 7 7 7 7 7 7 7 7\n2 7 7 7 7 7 7 7 7 7 7 7 7\n2 7 7 5 5 5 5 5 5 5 5 7 7\n2 7 7 5 5 5 5 5 5 5 5 7 7\n2 7 7 5 5 7 7 7 7 5 5 7 7\n2 7 7 5 5 7 7 7 7 5 5 7 7\n2 7 7 5 5 7 7 7 7 5 5 7 7\n2 7 7 5 5 5 5 5 5 5 5 7 7\n2 7 7 5 5 5 5 5 5 5 5 7 7\n2 7 7 7 7 7 7 7 7 7 7 7 7\n2 7 7 7 7 7 7 7 7 7 7 7 7\n\nExample 5:\n\nInput:\n2 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\n2 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\n2 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\n2 2 2 2 2 3 3 3 3 3 2 2 2\n2 2 2 2 2 3 3 3 3 3 2 2 2\n2 2 2 2 2 3 3 4 3 3 2 2 2\n2 2 2 2 2 3 3 3 3 3 2 2 2\n2 2 2 2 2 3 3 3 3 3 2 2 2\n2 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\n2 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\n2 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\n2 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\n2 2 2 2 4 4 4 4 4 4 4 2 2\n2 2 2 2 4 3 3 3 3 3 4 2 2\n2 2 2 2 4 3 3 3 3 3 4 2 2\n2 2 2 2 4 3 3 4 3 3 4 2 2\n2 2 2 2 4 3 3 3 3 3 4 2 2\n2 2 2 2 4 3 3 3 3 3 4 2 2\n2 2 2 2 4 4 4 4 4 4 4 2 2\n2 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\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 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 2\n2 2 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 2\n2 2 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 2\n2 2 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 2\n2 2 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 2\n2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 3 1 1 1 1 3 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 3 1 1 1 1 3 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 3 1 1 1 1 3 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 3 1 1 1 1 3 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 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 2\n2 2 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 2\n2 2 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 2\n", "answer": "2 2 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 2\n2 2 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 2\n2 2 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 2\n2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2\n2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2\n2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2\n2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2\n2 2 2 2 2 1 1 1 1 3 3 3 3 3 3 1 1 1 1 2 2\n2 2 2 2 2 1 1 1 1 3 1 1 1 1 3 1 1 1 1 2 2\n2 2 2 2 2 1 1 1 1 3 1 1 1 1 3 1 1 1 1 2 2\n2 2 2 2 2 1 1 1 1 3 1 1 1 1 3 1 1 1 1 2 2\n2 2 2 2 2 1 1 1 1 3 1 1 1 1 3 1 1 1 1 2 2\n2 2 2 2 2 1 1 1 1 3 3 3 3 3 3 1 1 1 1 2 2\n2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2\n2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2\n2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2\n2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2", "metadata": {"source_dataset": "arc_agi", "source_index": 133, "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, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 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, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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]], "task_id": "3a301edc", "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": 133, "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, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 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, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 1, 1, 1, 1, 3, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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]], "task_id": "3a301edc", "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 5 Output: 7 5 7 7 7 5 7 5 7 5 7 7 7 5 7 7 7 5 7 5 7 5 7 7 7 5 7 7 7 5 Example 2: 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 5 Output: 5 7 7 7 7 5 7 7 7 7 5 7 7 7 7 5 7 7 5 7 7 5 7 7 5 7 7 7 7 5 7 7 7 7 5 7 7 7 7 5 Example 3: Input: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 Output: 5 7 7 5 5 7 7 5 5 7 7 5 5 7 7 5 5 7 7 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: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 7 7 5 7\n7 7 7 7 5\n7 7 7 5 7\n7 7 5 7 7\n7 5 7 7 7\n5 7 7 7 7\n7 5 7 7 7\n7 7 5 7 7\n7 7 7 5 7\n7 7 7 7 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:\n7 7 7\n7 7 7\n7 7 7\n7 7 7\n7 7 7\n7 7 7\n7 7 7\n7 7 7\n7 7 7\n7 7 5\nOutput:\n7 5 7\n7 7 5\n7 5 7\n5 7 7\n7 5 7\n7 7 5\n7 5 7\n5 7 7\n7 5 7\n7 7 5\n\nExample 2:\n\nInput:\n7 7 7 7\n7 7 7 7\n7 7 7 7\n7 7 7 7\n7 7 7 7\n7 7 7 7\n7 7 7 7\n7 7 7 7\n7 7 7 7\n7 7 7 5\nOutput:\n5 7 7 7\n7 5 7 7\n7 7 5 7\n7 7 7 5\n7 7 5 7\n7 5 7 7\n5 7 7 7\n7 5 7 7\n7 7 5 7\n7 7 7 5\n\nExample 3:\n\nInput:\n7 7\n7 7\n7 7\n7 7\n7 7\n7 7\n7 7\n7 7\n7 7\n7 5\nOutput:\n5 7\n7 5\n5 7\n7 5\n5 7\n7 5\n5 7\n7 5\n5 7\n7 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:\n7 7 7 7 7\n7 7 7 7 7\n7 7 7 7 7\n7 7 7 7 7\n7 7 7 7 7\n7 7 7 7 7\n7 7 7 7 7\n7 7 7 7 7\n7 7 7 7 7\n7 7 7 7 5\n", "answer": "7 7 7 5 7\n7 7 7 7 5\n7 7 7 5 7\n7 7 5 7 7\n7 5 7 7 7\n5 7 7 7 7\n7 5 7 7 7\n7 7 5 7 7\n7 7 7 5 7\n7 7 7 7 5", "metadata": {"source_dataset": "arc_agi", "source_index": 134, "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, 5]], "output": [[7, 7, 7, 5, 7], [7, 7, 7, 7, 5], [7, 7, 7, 5, 7], [7, 7, 5, 7, 7], [7, 5, 7, 7, 7], [5, 7, 7, 7, 7], [7, 5, 7, 7, 7], [7, 7, 5, 7, 7], [7, 7, 7, 5, 7], [7, 7, 7, 7, 5]], "task_id": "a3df8b1e", "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": 134, "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, 5]], "output": [[7, 7, 7, 5, 7], [7, 7, 7, 7, 5], [7, 7, 7, 5, 7], [7, 7, 5, 7, 7], [7, 5, 7, 7, 7], [5, 7, 7, 7, 7], [7, 5, 7, 7, 7], [7, 7, 5, 7, 7], [7, 7, 7, 5, 7], [7, 7, 7, 7, 5]], "task_id": "a3df8b1e", "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 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4 6 6 6 6 6 6 6 6 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4 6 6 6 6 6 6 6 6 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4 6 6 6 6 6 6 6 6 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4 6 6 6 6 6 6 6 6 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4 6 6 6 6 6 6 6 6 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4 6 6 6 6 6 6 6 6 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4 6 6 6 6 6 6 6 6 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4 6 6 6 6 6 6 6 6 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 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 4 5 5 5 5 7 7 7 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 7 7 7 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 0 0 0 0 7 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 0 0 0 0 7 7 4 4 5 5 5 5 5 7 7 7 7 7 4 4 4 5 5 0 0 0 0 7 7 4 4 5 5 5 5 5 7 7 7 7 7 4 4 4 5 5 0 0 0 0 7 7 4 4 5 5 0 0 0 0 0 0 7 7 4 4 4 1 1 0 0 0 0 2 2 4 4 5 5 0 0 0 0 0 0 7 7 4 4 4 1 1 0 0 0 0 2 2 4 4 5 5 0 0 0 0 0 0 7 7 4 4 4 1 1 0 0 0 0 2 2 4 4 5 5 0 0 0 0 0 0 7 7 4 4 4 1 1 0 0 0 0 2 2 4 4 1 1 0 0 0 0 0 0 2 2 4 4 4 1 1 1 1 2 2 2 2 4 4 1 1 0 0 0 0 0 0 2 2 4 4 4 1 1 1 1 2 2 2 2 4 4 1 1 0 0 0 0 0 0 2 2 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 0 0 0 0 0 0 2 2 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 2 2 2 2 2 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 2 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 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 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 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 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 7 7 7 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 7 7 7 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 0 0 0 0 7 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 0 0 0 0 7 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 0 0 0 0 2 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 0 0 0 0 2 2 4 5 5 5 5 5 7 7 7 7 7 4 4 4 4 1 1 1 1 2 2 2 2 4 5 5 5 5 5 7 7 7 7 7 4 4 4 4 1 1 1 1 2 2 2 2 4 5 5 0 0 0 0 0 0 7 7 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 0 0 0 0 0 0 7 7 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 0 0 0 0 0 0 7 7 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 0 0 0 0 0 0 7 7 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 0 0 0 0 0 0 2 2 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 0 0 0 0 0 0 2 2 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 0 0 0 0 0 0 2 2 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 0 0 0 0 0 0 2 2 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 2 2 2 2 2 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 2 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 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 4 4 4 4 4 4 4 4 4 4 4 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 6 6 6 6 6 6 6 4 4 4 4 6 6 6 6 6 6 4 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 6 6 6 6 6 6 4 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 6 6 6 6 6 6 4 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 6 6 6 6 6 6 4 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 6 6 6 6 6 6 4 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 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 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 6 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 4 4 4 4
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "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\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 5 5 5 5 5 7 7 7 7 7 4 4 4 4 5 5 5 7 7 7 4 4\n4 5 5 5 5 5 7 7 7 7 7 4 4 4 4 5 5 5 7 7 7 4 4\n4 5 5 0 0 0 0 0 0 7 7 4 4 4 4 5 5 0 0 7 7 4 4\n4 1 1 0 0 0 0 0 0 2 2 4 4 4 4 1 1 0 0 2 2 4 4\n4 1 1 1 1 1 2 2 2 2 2 4 4 4 4 1 1 1 2 2 2 4 4\n4 1 1 1 1 1 2 2 2 2 2 4 4 4 4 1 1 1 2 2 2 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\n4 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\n4 4 4 4 5 5 5 5 5 5 5 7 7 7 7 7 7 7 4 4 4 4 4\n4 4 4 4 5 5 5 5 5 5 5 7 7 7 7 7 7 7 4 4 4 4 4\n4 4 4 4 5 5 0 0 0 0 0 0 0 0 0 0 7 7 4 4 4 4 4\n4 4 4 4 5 5 0 0 0 0 0 0 0 0 0 0 7 7 4 4 4 4 4\n4 4 4 4 5 5 0 0 0 0 0 0 0 0 0 0 7 7 4 4 4 4 4\n4 4 4 4 1 1 0 0 0 0 0 0 0 0 0 0 2 2 4 4 4 4 4\n4 4 4 4 1 1 0 0 0 0 0 0 0 0 0 0 2 2 4 4 4 4 4\n4 4 4 4 1 1 0 0 0 0 0 0 0 0 0 0 2 2 4 4 4 4 4\n4 4 4 4 1 1 1 1 1 1 1 2 2 2 2 2 2 2 4 4 4 4 4\n4 4 4 4 1 1 1 1 1 1 1 2 2 2 2 2 2 2 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", "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\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 4\n4 6 6 6 6 6 6 6 6 6 6 4 4 4 6 6 6 6 6 6 6 6 4\n4 6 6 6 6 6 6 6 6 6 6 4 4 4 6 6 6 6 6 6 6 6 4\n4 6 6 6 6 6 6 6 6 6 6 4 4 4 6 6 6 6 6 6 6 6 4\n4 6 6 6 6 6 6 6 6 6 6 4 4 4 6 6 6 6 6 6 6 6 4\n4 6 6 6 6 6 6 6 6 6 6 4 4 4 6 6 6 6 6 6 6 6 4\n4 6 6 6 6 6 6 6 6 6 6 4 4 4 6 6 6 6 6 6 6 6 4\n4 6 6 6 6 6 6 6 6 6 6 4 4 4 6 6 6 6 6 6 6 6 4\n4 6 6 6 6 6 6 6 6 6 6 4 4 4 6 6 6 6 6 6 6 6 4\n4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4\n4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4\n4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4\n4 6 6 6 6 6 6 6 6 6 6 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\n4 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\n4 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\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\nOutput:\n4 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 5 5 5 5 7 7 7 7 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 7 7 7 7 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 0 0 0 0 7 7 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 0 0 0 0 7 7 4\n4 5 5 5 5 5 7 7 7 7 7 4 4 4 5 5 0 0 0 0 7 7 4\n4 5 5 5 5 5 7 7 7 7 7 4 4 4 5 5 0 0 0 0 7 7 4\n4 5 5 0 0 0 0 0 0 7 7 4 4 4 1 1 0 0 0 0 2 2 4\n4 5 5 0 0 0 0 0 0 7 7 4 4 4 1 1 0 0 0 0 2 2 4\n4 5 5 0 0 0 0 0 0 7 7 4 4 4 1 1 0 0 0 0 2 2 4\n4 5 5 0 0 0 0 0 0 7 7 4 4 4 1 1 0 0 0 0 2 2 4\n4 1 1 0 0 0 0 0 0 2 2 4 4 4 1 1 1 1 2 2 2 2 4\n4 1 1 0 0 0 0 0 0 2 2 4 4 4 1 1 1 1 2 2 2 2 4\n4 1 1 0 0 0 0 0 0 2 2 4 4 4 4 4 4 4 4 4 4 4 4\n4 1 1 0 0 0 0 0 0 2 2 4 4 4 4 4 4 4 4 4 4 4 4\n4 1 1 1 1 1 2 2 2 2 2 4 4 4 4 4 4 4 4 4 4 4 4\n4 1 1 1 1 1 2 2 2 2 2 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\n4 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\n4 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\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\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\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 4 4 4\n4 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 4 4 4\n4 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 4 4 4\n4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4\n4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4\n4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4\n4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4\n4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4\n4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4\n4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4\n4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4\n4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 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\n4 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\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\nOutput:\n4 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\n4 5 5 5 5 7 7 7 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 5 5 5 5 7 7 7 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 5 5 0 0 0 0 7 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 5 5 0 0 0 0 7 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 1 1 0 0 0 0 2 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 1 1 0 0 0 0 2 2 4 5 5 5 5 5 7 7 7 7 7 4 4 4\n4 1 1 1 1 2 2 2 2 4 5 5 5 5 5 7 7 7 7 7 4 4 4\n4 1 1 1 1 2 2 2 2 4 5 5 0 0 0 0 0 0 7 7 4 4 4\n4 4 4 4 4 4 4 4 4 4 5 5 0 0 0 0 0 0 7 7 4 4 4\n4 4 4 4 4 4 4 4 4 4 5 5 0 0 0 0 0 0 7 7 4 4 4\n4 4 4 4 4 4 4 4 4 4 5 5 0 0 0 0 0 0 7 7 4 4 4\n4 4 4 4 4 4 4 4 4 4 1 1 0 0 0 0 0 0 2 2 4 4 4\n4 4 4 4 4 4 4 4 4 4 1 1 0 0 0 0 0 0 2 2 4 4 4\n4 4 4 4 4 4 4 4 4 4 1 1 0 0 0 0 0 0 2 2 4 4 4\n4 4 4 4 4 4 4 4 4 4 1 1 0 0 0 0 0 0 2 2 4 4 4\n4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 2 2 2 2 2 4 4 4\n4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 2 2 2 2 2 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\n4 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\n4 4 4 4 4 4 4 4 4 4 4 4 4 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 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\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 6 6 6 6 6 6 4 4\n4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 6 6 6 6 6 6 4 4\n4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 6 6 6 6 6 6 4 4\n4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 6 6 6 6 6 6 4 4\n4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 6 6 6 6 6 6 4 4\n4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 6 6 6 6 6 6 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\n4 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\n4 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4\n4 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4\n4 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4\n4 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4\n4 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4\n4 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4\n4 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4\n4 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4\n4 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4\n4 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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\n", "answer": "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\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 5 5 5 5 5 7 7 7 7 7 4 4 4 4 5 5 5 7 7 7 4 4\n4 5 5 5 5 5 7 7 7 7 7 4 4 4 4 5 5 5 7 7 7 4 4\n4 5 5 0 0 0 0 0 0 7 7 4 4 4 4 5 5 0 0 7 7 4 4\n4 1 1 0 0 0 0 0 0 2 2 4 4 4 4 1 1 0 0 2 2 4 4\n4 1 1 1 1 1 2 2 2 2 2 4 4 4 4 1 1 1 2 2 2 4 4\n4 1 1 1 1 1 2 2 2 2 2 4 4 4 4 1 1 1 2 2 2 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\n4 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\n4 4 4 4 5 5 5 5 5 5 5 7 7 7 7 7 7 7 4 4 4 4 4\n4 4 4 4 5 5 5 5 5 5 5 7 7 7 7 7 7 7 4 4 4 4 4\n4 4 4 4 5 5 0 0 0 0 0 0 0 0 0 0 7 7 4 4 4 4 4\n4 4 4 4 5 5 0 0 0 0 0 0 0 0 0 0 7 7 4 4 4 4 4\n4 4 4 4 5 5 0 0 0 0 0 0 0 0 0 0 7 7 4 4 4 4 4\n4 4 4 4 1 1 0 0 0 0 0 0 0 0 0 0 2 2 4 4 4 4 4\n4 4 4 4 1 1 0 0 0 0 0 0 0 0 0 0 2 2 4 4 4 4 4\n4 4 4 4 1 1 0 0 0 0 0 0 0 0 0 0 2 2 4 4 4 4 4\n4 4 4 4 1 1 1 1 1 1 1 2 2 2 2 2 2 2 4 4 4 4 4\n4 4 4 4 1 1 1 1 1 1 1 2 2 2 2 2 2 2 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", "metadata": {"source_dataset": "arc_agi", "source_index": 135, "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, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 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, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 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, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4], [4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4], [4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4], [4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4], [4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4], [4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4], [4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4], [4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4], [4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4], [4, 4, 4, 4, 6, 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, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [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, 5, 5, 5, 7, 7, 7, 7, 7, 4, 4, 4, 4, 5, 5, 5, 7, 7, 7, 4, 4], [4, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 4, 4, 4, 4, 5, 5, 5, 7, 7, 7, 4, 4], [4, 5, 5, 0, 0, 0, 0, 0, 0, 7, 7, 4, 4, 4, 4, 5, 5, 0, 0, 7, 7, 4, 4], [4, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 4, 4, 1, 1, 0, 0, 2, 2, 4, 4], [4, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 4, 1, 1, 1, 2, 2, 2, 4, 4], [4, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 4, 1, 1, 1, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 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, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4], [4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4], [4, 4, 4, 4, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 4, 4, 4, 4, 4], [4, 4, 4, 4, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 4, 4, 4, 4, 4], [4, 4, 4, 4, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 4, 4, 4, 4, 4], [4, 4, 4, 4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 4, 4, 4], [4, 4, 4, 4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 4, 4, 4], [4, 4, 4, 4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 4, 4, 4], [4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4], [4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 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]], "task_id": "639f5a19", "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": 135, "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, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4], [4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 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, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 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, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4], [4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4], [4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4], [4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4], [4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4], [4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4], [4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4], [4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4], [4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4], [4, 4, 4, 4, 6, 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, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [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, 5, 5, 5, 7, 7, 7, 7, 7, 4, 4, 4, 4, 5, 5, 5, 7, 7, 7, 4, 4], [4, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 4, 4, 4, 4, 5, 5, 5, 7, 7, 7, 4, 4], [4, 5, 5, 0, 0, 0, 0, 0, 0, 7, 7, 4, 4, 4, 4, 5, 5, 0, 0, 7, 7, 4, 4], [4, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 4, 4, 1, 1, 0, 0, 2, 2, 4, 4], [4, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 4, 1, 1, 1, 2, 2, 2, 4, 4], [4, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 4, 4, 4, 4, 1, 1, 1, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 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, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4], [4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4], [4, 4, 4, 4, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 4, 4, 4, 4, 4], [4, 4, 4, 4, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 4, 4, 4, 4, 4], [4, 4, 4, 4, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 4, 4, 4, 4, 4], [4, 4, 4, 4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 4, 4, 4], [4, 4, 4, 4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 4, 4, 4], [4, 4, 4, 4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 4, 4, 4, 4, 4], [4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4], [4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 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]], "task_id": "639f5a19", "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 3 3 4 4 4 4 3 3 4 3 4 3 3 3 3 2 2 2 2 3 9 9 3 3 9 9 9 3 9 9 3 9 9 3 9 Output: 3 3 3 3 3 3 3 3 6 3 3 3 3 3 6 3 Example 2: Input: 3 3 4 3 3 4 4 3 3 4 3 4 4 3 4 3 2 2 2 2 9 9 3 3 3 9 9 3 3 3 9 9 3 3 9 9 Output: 3 3 3 6 6 3 3 6 6 3 3 3 3 6 3 3 Example 3: Input: 3 4 3 4 4 3 3 4 3 3 3 3 3 3 4 4 2 2 2 2 9 9 3 3 9 3 9 9 3 3 9 9 9 3 9 3 Output: 3 3 6 3 3 6 3 3 6 6 3 3 3 6 3 3 Example 4: Input: 3 4 3 4 4 4 3 3 3 4 4 4 3 3 4 3 2 2 2 2 3 9 9 9 3 9 3 3 3 9 9 9 3 3 3 9 Output: 6 3 3 3 3 3 6 6 6 3 3 3 6 6 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 4 3 3 4 3 4 4 3 3 3 3 3 4 4 4 2 2 2 2 9 3 9 3 9 3 3 3 3 9 9 9 9 9 9 9
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "3 3 3 6\n3 6 3 3\n6 3 3 3\n3 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:\n4 3 3 4\n4 4 4 3\n3 4 3 4\n3 3 3 3\n2 2 2 2\n3 9 9 3\n3 9 9 9\n3 9 9 3\n9 9 3 9\nOutput:\n3 3 3 3\n3 3 3 3\n6 3 3 3\n3 3 6 3\n\nExample 2:\n\nInput:\n3 3 4 3\n3 4 4 3\n3 4 3 4\n4 3 4 3\n2 2 2 2\n9 9 3 3\n3 9 9 3\n3 3 9 9\n3 3 9 9\nOutput:\n3 3 3 6\n6 3 3 6\n6 3 3 3\n3 6 3 3\n\nExample 3:\n\nInput:\n3 4 3 4\n4 3 3 4\n3 3 3 3\n3 3 4 4\n2 2 2 2\n9 9 3 3\n9 3 9 9\n3 3 9 9\n9 3 9 3\nOutput:\n3 3 6 3\n3 6 3 3\n6 6 3 3\n3 6 3 3\n\nExample 4:\n\nInput:\n3 4 3 4\n4 4 3 3\n3 4 4 4\n3 3 4 3\n2 2 2 2\n3 9 9 9\n3 9 3 3\n3 9 9 9\n3 3 3 9\nOutput:\n6 3 3 3\n3 3 6 6\n6 3 3 3\n6 6 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 4 3 3\n4 3 4 4\n3 3 3 3\n3 4 4 4\n2 2 2 2\n9 3 9 3\n9 3 3 3\n3 9 9 9\n9 9 9 9\n", "answer": "3 3 3 6\n3 6 3 3\n6 3 3 3\n3 3 3 3", "metadata": {"source_dataset": "arc_agi", "source_index": 136, "input": [[3, 4, 3, 3], [4, 3, 4, 4], [3, 3, 3, 3], [3, 4, 4, 4], [2, 2, 2, 2], [9, 3, 9, 3], [9, 3, 3, 3], [3, 9, 9, 9], [9, 9, 9, 9]], "output": [[3, 3, 3, 6], [3, 6, 3, 3], [6, 3, 3, 3], [3, 3, 3, 3]], "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": 136, "input": [[3, 4, 3, 3], [4, 3, 4, 4], [3, 3, 3, 3], [3, 4, 4, 4], [2, 2, 2, 2], [9, 3, 9, 3], [9, 3, 3, 3], [3, 9, 9, 9], [9, 9, 9, 9]], "output": [[3, 3, 3, 6], [3, 6, 3, 3], [6, 3, 3, 3], [3, 3, 3, 3]], "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]}}
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 1 3 3 1 1 7 7 1 5 Output: 3 3 3 3 3 9 1 1 1 1 9 9 9 7 7 9 9 9 9 5 Example 2: Input: 5 5 5 0 1 1 5 0 0 0 0 0 Output: 0 0 0 0 0 0 9 9 5 5 5 5 9 9 9 9 1 1 Example 3: Input: 7 5 3 7 5 0 7 5 0 7 7 7 Output: 7 7 7 7 7 7 9 9 9 5 5 5 9 9 9 9 0 0 9 9 9 9 9 3 Example 4: Input: 0 5 5 0 3 5 0 0 0 Output: 0 0 0 0 0 9 9 5 5 5 9 9 9 9 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: 0 0 0 1 0 3 1 1 0 3 1 5 0 7 5 5
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "0 0 0 0 0 0\n9 9 1 1 1 1\n9 9 9 5 5 5\n9 9 9 9 3 3\n9 9 9 9 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:\n3 3 3 1\n3 3 1 1\n7 7 1 5\nOutput:\n3 3 3 3 3\n9 1 1 1 1\n9 9 9 7 7\n9 9 9 9 5\n\nExample 2:\n\nInput:\n5 5 5 0\n1 1 5 0\n0 0 0 0\nOutput:\n0 0 0 0 0 0\n9 9 5 5 5 5\n9 9 9 9 1 1\n\nExample 3:\n\nInput:\n7 5 3\n7 5 0\n7 5 0\n7 7 7\nOutput:\n7 7 7 7 7 7\n9 9 9 5 5 5\n9 9 9 9 0 0\n9 9 9 9 9 3\n\nExample 4:\n\nInput:\n0 5 5\n0 3 5\n0 0 0\nOutput:\n0 0 0 0 0\n9 9 5 5 5\n9 9 9 9 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:\n0 0 0 1\n0 3 1 1\n0 3 1 5\n0 7 5 5\n", "answer": "0 0 0 0 0 0\n9 9 1 1 1 1\n9 9 9 5 5 5\n9 9 9 9 3 3\n9 9 9 9 9 7", "metadata": {"source_dataset": "arc_agi", "source_index": 137, "input": [[0, 0, 0, 1], [0, 3, 1, 1], [0, 3, 1, 5], [0, 7, 5, 5]], "output": [[0, 0, 0, 0, 0, 0], [9, 9, 1, 1, 1, 1], [9, 9, 9, 5, 5, 5], [9, 9, 9, 9, 3, 3], [9, 9, 9, 9, 9, 7]], "task_id": "9af7a82c", "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": 137, "input": [[0, 0, 0, 1], [0, 3, 1, 1], [0, 3, 1, 5], [0, 7, 5, 5]], "output": [[0, 0, 0, 0, 0, 0], [9, 9, 1, 1, 1, 1], [9, 9, 9, 5, 5, 5], [9, 9, 9, 9, 3, 3], [9, 9, 9, 9, 9, 7]], "task_id": "9af7a82c", "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 5 5 5 5 6 6 6 6 6 6 5 1 2 5 6 6 6 6 6 6 5 6 6 5 6 6 6 6 6 6 5 3 0 5 6 6 6 6 6 6 5 5 5 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 Output: 6 6 6 6 6 6 6 6 6 6 6 6 0 6 6 6 6 3 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 5 6 6 5 6 6 6 6 6 6 5 6 6 5 6 6 6 6 6 6 5 6 6 5 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 2 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 Example 2: Input: 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 7 3 6 6 9 7 6 6 6 6 7 6 6 6 6 7 6 6 6 6 7 0 6 6 2 7 6 6 6 6 7 7 7 7 7 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 Output: 2 6 6 6 6 6 6 0 6 6 6 7 7 7 7 7 7 6 6 6 6 7 6 6 6 6 7 6 6 6 6 7 6 6 6 6 7 6 6 6 6 7 6 6 6 6 7 6 6 6 6 7 7 7 7 7 7 6 6 6 9 6 6 6 6 6 6 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 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 8 8 8 8 8 8 6 6 6 6 8 3 6 6 5 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 4 6 6 2 8 6 6 6 6 8 8 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 Output: 6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 6 6 6 4 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 8 8 8 8 8 6 6 6 5 6 6 6 6 6 6 3 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 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 2 6 6 6 6 2 0 6 6 1 2 6 6 6 6 2 6 6 6 6 2 6 6 6 6 2 5 6 6 3 2 6 6 6 6 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
{"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 3 6 6 6 6 6 6 5 6\n6 6 2 2 2 2 2 2 6 6\n6 6 2 6 6 6 6 2 6 6\n6 6 2 6 6 6 6 2 6 6\n6 6 2 6 6 6 6 2 6 6\n6 6 2 2 2 2 2 2 6 6\n6 1 6 6 6 6 6 6 0 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 5 5 5 5 6 6 6\n6 6 6 5 1 2 5 6 6 6\n6 6 6 5 6 6 5 6 6 6\n6 6 6 5 3 0 5 6 6 6\n6 6 6 5 5 5 5 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 0 6 6 6 6 3 6 6\n6 6 6 5 5 5 5 6 6 6\n6 6 6 5 6 6 5 6 6 6\n6 6 6 5 6 6 5 6 6 6\n6 6 6 5 6 6 5 6 6 6\n6 6 6 5 5 5 5 6 6 6\n6 6 2 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\nExample 2:\n\nInput:\n6 6 6 6 6 6 6 6 6 6\n6 7 7 7 7 7 7 6 6 6\n6 7 3 6 6 9 7 6 6 6\n6 7 6 6 6 6 7 6 6 6\n6 7 0 6 6 2 7 6 6 6\n6 7 7 7 7 7 7 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\nOutput:\n2 6 6 6 6 6 6 0 6 6\n6 7 7 7 7 7 7 6 6 6\n6 7 6 6 6 6 7 6 6 6\n6 7 6 6 6 6 7 6 6 6\n6 7 6 6 6 6 7 6 6 6\n6 7 7 7 7 7 7 6 6 6\n9 6 6 6 6 6 6 3 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\n6 6 6 6 6 6 6 6 6 6\n6 6 8 8 8 8 8 8 6 6\n6 6 8 3 6 6 5 8 6 6\n6 6 8 6 6 6 6 8 6 6\n6 6 8 6 6 6 6 8 6 6\n6 6 8 4 6 6 2 8 6 6\n6 6 8 8 8 8 8 8 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 2 6 6 6 6 6 6 4 6\n6 6 8 8 8 8 8 8 6 6\n6 6 8 6 6 6 6 8 6 6\n6 6 8 6 6 6 6 8 6 6\n6 6 8 6 6 6 6 8 6 6\n6 6 8 6 6 6 6 8 6 6\n6 6 8 8 8 8 8 8 6 6\n6 5 6 6 6 6 6 6 3 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\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 2 2 2 2 2 2 6 6\n6 6 2 0 6 6 1 2 6 6\n6 6 2 6 6 6 6 2 6 6\n6 6 2 5 6 6 3 2 6 6\n6 6 2 2 2 2 2 2 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n", "answer": "6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 3 6 6 6 6 6 6 5 6\n6 6 2 2 2 2 2 2 6 6\n6 6 2 6 6 6 6 2 6 6\n6 6 2 6 6 6 6 2 6 6\n6 6 2 6 6 6 6 2 6 6\n6 6 2 2 2 2 2 2 6 6\n6 1 6 6 6 6 6 6 0 6\n6 6 6 6 6 6 6 6 6 6", "metadata": {"source_dataset": "arc_agi", "source_index": 138, "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, 2, 2, 2, 2, 2, 2, 6, 6], [6, 6, 2, 0, 6, 6, 1, 2, 6, 6], [6, 6, 2, 6, 6, 6, 6, 2, 6, 6], [6, 6, 2, 5, 6, 6, 3, 2, 6, 6], [6, 6, 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]], "output": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 3, 6, 6, 6, 6, 6, 6, 5, 6], [6, 6, 2, 2, 2, 2, 2, 2, 6, 6], [6, 6, 2, 6, 6, 6, 6, 2, 6, 6], [6, 6, 2, 6, 6, 6, 6, 2, 6, 6], [6, 6, 2, 6, 6, 6, 6, 2, 6, 6], [6, 6, 2, 2, 2, 2, 2, 2, 6, 6], [6, 1, 6, 6, 6, 6, 6, 6, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_id": "952a094c", "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": 138, "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, 2, 2, 2, 2, 2, 2, 6, 6], [6, 6, 2, 0, 6, 6, 1, 2, 6, 6], [6, 6, 2, 6, 6, 6, 6, 2, 6, 6], [6, 6, 2, 5, 6, 6, 3, 2, 6, 6], [6, 6, 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]], "output": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 3, 6, 6, 6, 6, 6, 6, 5, 6], [6, 6, 2, 2, 2, 2, 2, 2, 6, 6], [6, 6, 2, 6, 6, 6, 6, 2, 6, 6], [6, 6, 2, 6, 6, 6, 6, 2, 6, 6], [6, 6, 2, 6, 6, 6, 6, 2, 6, 6], [6, 6, 2, 2, 2, 2, 2, 2, 6, 6], [6, 1, 6, 6, 6, 6, 6, 6, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_id": "952a094c", "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 1 9 9 1 9 8 4 4 9 4 4 9 9 9 1 9 9 1 8 9 9 4 9 9 9 9 9 1 9 1 1 8 4 9 4 9 9 4 1 9 1 1 9 9 8 4 4 4 9 4 9 Output: 9 9 0 9 9 0 0 0 9 0 0 9 9 0 9 0 9 9 9 9 9 9 9 0 Example 2: Input: 9 1 9 1 9 9 8 9 9 4 4 9 9 1 9 1 1 9 9 8 4 9 4 4 4 9 1 9 9 1 1 1 8 4 9 4 9 4 4 9 9 1 1 9 1 8 9 9 4 4 4 9 Output: 0 9 9 9 0 0 9 0 9 9 9 0 9 0 9 9 9 9 0 0 9 9 9 9 Example 3: Input: 1 1 1 9 9 1 8 4 9 9 9 4 4 1 9 1 1 1 9 8 9 4 9 9 4 9 9 1 9 9 1 9 8 4 9 9 9 9 4 1 1 9 1 9 1 8 4 9 9 4 9 9 Output: 9 9 9 0 9 9 9 9 9 9 9 0 9 9 0 0 9 9 9 9 0 9 0 9 Example 4: Input: 1 9 1 1 9 1 8 4 4 4 9 4 9 1 1 1 9 9 1 8 4 9 4 9 4 9 9 1 9 9 9 9 8 4 4 9 9 9 4 9 9 9 9 1 9 8 4 4 9 9 9 9 Output: 9 9 9 9 9 9 9 9 9 0 9 9 9 9 0 0 0 9 9 9 0 0 9 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: 9 9 1 9 1 9 8 4 4 9 4 4 9 9 1 9 1 9 9 8 4 4 9 4 9 9 9 1 9 1 1 9 8 9 4 9 9 4 4 1 9 1 9 1 1 8 4 9 9 4 9 4
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "9 9 9 9 9 0\n9 9 0 9 0 0\n0 9 0 9 9 9\n9 0 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 1 9 9 1 9 8 4 4 9 4 4 9\n9 9 1 9 9 1 8 9 9 4 9 9 9\n9 9 1 9 1 1 8 4 9 4 9 9 4\n1 9 1 1 9 9 8 4 4 4 9 4 9\nOutput:\n9 9 0 9 9 0\n0 0 9 0 0 9\n9 0 9 0 9 9\n9 9 9 9 9 0\n\nExample 2:\n\nInput:\n9 1 9 1 9 9 8 9 9 4 4 9 9\n1 9 1 1 9 9 8 4 9 4 4 4 9\n1 9 9 1 1 1 8 4 9 4 9 4 4\n9 9 1 1 9 1 8 9 9 4 4 4 9\nOutput:\n0 9 9 9 0 0\n9 0 9 9 9 0\n9 0 9 9 9 9\n0 0 9 9 9 9\n\nExample 3:\n\nInput:\n1 1 1 9 9 1 8 4 9 9 9 4 4\n1 9 1 1 1 9 8 9 4 9 9 4 9\n9 1 9 9 1 9 8 4 9 9 9 9 4\n1 1 9 1 9 1 8 4 9 9 4 9 9\nOutput:\n9 9 9 0 9 9\n9 9 9 9 9 0\n9 9 0 0 9 9\n9 9 0 9 0 9\n\nExample 4:\n\nInput:\n1 9 1 1 9 1 8 4 4 4 9 4 9\n1 1 1 9 9 1 8 4 9 4 9 4 9\n9 1 9 9 9 9 8 4 4 9 9 9 4\n9 9 9 9 1 9 8 4 4 9 9 9 9\nOutput:\n9 9 9 9 9 9\n9 9 9 0 9 9\n9 9 0 0 0 9\n9 9 0 0 9 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:\n9 9 1 9 1 9 8 4 4 9 4 4 9\n9 1 9 1 9 9 8 4 4 9 4 9 9\n9 1 9 1 1 9 8 9 4 9 9 4 4\n1 9 1 9 1 1 8 4 9 9 4 9 4\n", "answer": "9 9 9 9 9 0\n9 9 0 9 0 0\n0 9 0 9 9 9\n9 0 9 9 9 9", "metadata": {"source_dataset": "arc_agi", "source_index": 139, "input": [[9, 9, 1, 9, 1, 9, 8, 4, 4, 9, 4, 4, 9], [9, 1, 9, 1, 9, 9, 8, 4, 4, 9, 4, 9, 9], [9, 1, 9, 1, 1, 9, 8, 9, 4, 9, 9, 4, 4], [1, 9, 1, 9, 1, 1, 8, 4, 9, 9, 4, 9, 4]], "output": [[9, 9, 9, 9, 9, 0], [9, 9, 0, 9, 0, 0], [0, 9, 0, 9, 9, 9], [9, 0, 9, 9, 9, 9]], "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": 139, "input": [[9, 9, 1, 9, 1, 9, 8, 4, 4, 9, 4, 4, 9], [9, 1, 9, 1, 9, 9, 8, 4, 4, 9, 4, 9, 9], [9, 1, 9, 1, 1, 9, 8, 9, 4, 9, 9, 4, 4], [1, 9, 1, 9, 1, 1, 8, 4, 9, 9, 4, 9, 4]], "output": [[9, 9, 9, 9, 9, 0], [9, 9, 0, 9, 0, 0], [0, 9, 0, 9, 9, 9], [9, 0, 9, 9, 9, 9]], "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]}}
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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 2 0 2 0 2 0 0 0 2 0 2 2 2 0 0 0 2 2 2 2 0 0 2 2 0 2 0 0 0 2 2 0 0 2 2 0 4 2 0 0 0 2 0 0 0 2 2 0 0 0 2 2 2 2 0 0 0 2 4 0 2 2 0 2 0 0 2 0 0 2 2 2 0 0 0 0 2 2 0 0 2 2 0 2 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 4 2 2 4 4 4 4 0 0 0 2 2 0 2 0 0 2 0 2 0 2 0 2 0 0 2 2 2 0 0 0 0 0 2 0 0 2 2 0 0 0 2 0 0 2 2 0 4 2 2 2 0 0 2 0 0 0 0 0 2 2 0 0 0 0 2 2 0 0 2 0 0 2 0 2 2 0 2 2 0 2 2 0 0 2 2 0 2 0 2 0 2 2 2 2 2 0 0 0 0 2 0 2 2 2 0 2 2 2 0 0 2 0 0 0 0 0 2 2 0 2 2 0 0 0 0 0 2 0 0 2 0 0 0 0 0 2 0 2 0 0 0 4 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 0 0 0 2 2 0 4 2 0 2 2 0 2 0 0 0 0 2 2 0 2 0 0 0 0 0 2 0 4 2 0 0 2 0 0 2 2 2 0 2 0 0 2 0 0 0 2 4 2 4 2 2 2 4 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 4 2 2 0 0 2 0 2 2 0 2 0 0 2 2 0 0 0 2 0 0 0 4 2 2 2 0 2 2 2 0 0 2 0 2 2 0 2 2 2 0 0 2 2 4 0 0 0 0 0 0 0 2 0 0 2 0 0 2 2 2 2 0 0 2 0 2 0 2 0 0 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 0 2 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 2 0 2 2 2 0 0 0 2 2 2 2 0 0 2 2 0 2 0 0 0 2 2 0 0 2 2 0 4 2 0 0 0 2 0 0 0 2 2 0 0 0 2 2 2 2 0 0 0 2 4 0 2 2 0 2 0 0 2 0 0 2 2 2 0 0 0 0 2 2 0 0 5 2 0 2 0 0 2 0 0 2 2 2 0 0 0 0 0 0 0 4 5 5 4 4 4 4 0 0 0 2 2 0 2 0 0 2 0 2 0 2 0 2 0 0 5 2 2 0 0 0 0 0 2 0 0 2 2 0 0 0 2 0 0 2 2 0 4 2 2 2 0 0 2 0 0 0 0 0 2 2 0 0 0 0 2 2 0 0 5 0 0 2 0 2 2 0 2 2 0 2 2 0 0 2 2 0 2 0 2 0 2 2 2 2 2 0 0 0 0 2 0 2 2 2 0 2 2 2 0 0 2 0 0 0 0 0 2 2 0 2 2 0 0 0 0 0 2 0 0 2 0 0 0 0 0 2 0 2 0 0 0 4 0 0 0 0 0 0 2 0 2 0 0 0 0 0 2 0 0 0 2 2 0 4 2 0 2 2 0 2 0 0 0 0 2 2 0 2 0 0 0 0 0 2 0 4 2 0 0 2 0 0 2 2 2 0 2 0 0 2 0 0 0 2 4 5 4 5 5 5 4 2 0 2 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 4 2 2 0 0 2 0 2 2 0 2 0 0 2 2 0 0 0 2 0 0 0 4 2 2 2 0 2 2 2 0 0 2 0 2 2 0 2 2 2 0 0 2 2 4 0 0 0 0 0 0 0 2 0 0 2 0 0 2 2 2 2 0 0 2 0 2 0 2 0 0 2 0 0 2 2 0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 0 2 0 0 0 Example 2: Input: 0 2 2 0 2 0 0 0 0 0 2 0 0 2 0 2 2 2 2 2 0 2 0 2 0 0 0 0 0 0 2 0 0 2 0 2 0 2 2 2 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 0 0 0 2 2 2 0 0 2 0 0 0 2 0 2 2 2 2 0 0 0 2 0 0 2 2 2 2 2 0 0 2 2 2 0 2 2 2 0 2 0 2 0 0 2 2 0 0 2 2 0 0 2 0 0 2 0 0 0 0 4 2 0 2 2 0 0 2 2 2 2 2 0 2 2 2 2 0 2 4 2 2 2 0 0 2 2 2 2 0 0 2 2 2 2 0 2 2 4 4 2 0 0 2 0 0 2 2 2 2 2 2 2 2 0 0 2 2 2 0 2 2 2 2 0 0 2 4 2 2 2 0 0 0 0 0 2 0 2 2 2 2 2 0 2 0 2 2 2 2 0 2 2 2 2 0 2 0 0 2 2 0 2 4 4 2 4 4 2 2 0 2 0 2 0 0 0 0 0 2 0 2 0 2 4 2 0 0 2 0 2 2 2 2 0 0 0 2 2 2 0 2 2 2 2 0 0 0 2 0 0 2 2 2 2 2 0 0 0 2 2 2 2 2 2 0 0 2 0 0 0 2 2 2 0 2 0 2 2 0 0 0 2 2 2 0 2 0 0 0 0 2 2 2 0 2 2 2 2 0 0 2 2 2 2 2 0 2 0 0 2 0 2 0 2 2 2 2 0 2 2 0 0 0 2 2 0 Output: 0 2 2 0 2 0 0 0 0 0 2 0 0 2 0 2 2 2 2 2 0 2 0 2 0 0 0 0 0 0 2 0 0 2 0 2 0 2 2 2 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 0 0 0 2 2 2 0 0 2 0 0 0 2 0 2 2 2 2 0 0 0 2 0 0 2 2 2 2 2 0 0 2 2 2 0 2 2 2 0 2 0 2 0 0 2 2 0 0 2 2 0 0 2 0 0 2 0 0 0 0 4 2 0 2 2 0 0 2 2 2 2 2 0 2 2 2 2 0 2 4 2 2 2 0 0 2 2 2 2 0 0 2 2 2 2 0 2 5 4 4 5 0 0 2 0 0 2 2 2 2 2 2 2 2 0 0 2 5 2 0 2 2 2 2 0 0 2 4 2 2 2 0 0 0 0 0 5 0 2 2 2 2 2 0 2 0 5 2 2 2 0 2 2 2 2 0 2 0 0 2 2 0 2 4 4 5 4 4 2 2 0 2 0 2 0 0 0 0 0 2 0 2 0 2 4 2 0 0 2 0 2 2 2 2 0 0 0 2 2 2 0 2 2 5 2 0 0 0 2 0 0 2 2 2 2 2 0 0 0 2 2 2 2 2 2 0 0 2 0 0 0 2 2 2 0 2 0 2 2 0 0 0 2 2 2 0 2 0 0 0 0 2 2 2 0 2 2 2 2 0 0 2 2 2 2 2 0 2 0 0 2 0 2 0 2 2 2 2 0 2 2 0 0 0 2 2 0 Example 3: Input: 2 0 0 0 0 2 0 0 2 2 2 2 2 0 0 0 2 2 2 2 2 0 0 0 0 2 2 0 2 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 2 0 0 2 2 0 0 0 2 2 2 0 2 2 0 2 4 0 0 2 2 0 0 2 2 2 4 2 4 4 4 0 2 2 0 0 2 0 2 0 4 2 0 2 2 0 2 0 0 2 2 0 4 0 2 0 2 0 2 0 0 0 0 0 2 0 0 2 0 2 0 0 0 0 2 0 0 0 0 2 Output: 2 0 0 0 0 2 0 0 2 2 2 2 2 0 0 0 2 2 2 2 2 0 0 0 0 2 2 0 2 0 0 0 0 2 0 0 2 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 2 0 0 2 5 0 0 0 2 2 2 0 2 2 0 2 4 0 0 2 2 0 0 2 2 2 4 5 4 4 4 0 2 2 0 0 2 0 2 0 4 2 0 2 2 0 2 0 0 2 2 0 4 0 2 0 2 0 2 0 0 0 0 0 2 0 0 2 0 2 0 0 0 0 2 0 0 0 0 2 Example 4: Input: 2 2 2 0 2 0 2 0 2 2 0 0 2 2 0 0 0 0 0 2 0 0 2 0 2 2 0 2 2 2 0 2 2 2 0 2 0 0 2 2 0 0 2 0 2 0 2 2 0 2 2 2 0 0 2 0 0 0 2 0 0 2 2 0 0 2 2 4 2 0 2 2 0 0 2 0 2 2 0 0 0 0 2 0 2 2 2 4 4 2 2 0 0 2 0 0 2 2 0 0 2 2 0 0 0 2 2 2 0 2 2 0 2 2 2 2 0 0 2 2 2 2 0 0 2 2 0 2 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 2 2 2 2 2 2 2 2 2 0 0 0 2 0 0 0 0 0 0 2 2 2 0 0 2 0 0 2 0 2 2 0 2 2 0 2 2 2 2 2 0 2 4 2 4 4 4 0 0 2 2 0 0 2 0 2 2 2 0 2 2 0 2 0 2 2 2 2 2 2 2 0 0 0 2 0 0 2 2 2 2 0 2 2 2 0 0 2 0 2 0 0 0 2 0 2 0 2 2 2 0 2 2 2 0 0 2 2 0 2 0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 0 0 2 0 2 2 2 0 0 2 2 4 2 2 2 0 2 0 0 2 2 0 0 0 0 0 2 0 2 4 2 4 4 4 0 2 2 0 2 0 2 2 0 0 0 2 0 0 2 2 0 4 2 0 2 0 2 0 0 0 2 2 2 2 2 0 2 0 2 2 0 2 2 0 2 0 0 2 0 0 2 0 0 2 2 2 2 0 2 2 2 0 2 2 0 2 0 0 2 0 0 0 2 2 0 0 2 0 2 0 0 0 2 2 0 2 2 0 0 0 2 2 0 2 2 Output: 2 2 2 0 2 0 2 0 2 2 0 0 2 2 0 0 0 0 0 2 0 0 2 0 2 2 0 2 2 2 0 2 2 2 0 2 0 0 2 2 0 0 2 0 2 0 2 5 0 2 2 2 0 0 2 0 0 0 2 0 0 2 2 0 0 2 2 4 2 0 2 2 0 0 2 0 2 2 0 0 0 0 2 0 2 5 5 4 4 5 2 0 0 2 0 0 2 2 0 0 2 2 0 0 0 2 2 5 0 2 2 0 2 2 2 2 0 0 2 2 2 2 0 0 2 2 0 5 0 0 2 2 2 0 0 0 0 0 0 0 0 0 2 0 0 2 0 2 2 0 2 2 2 2 5 2 2 2 2 0 0 0 2 0 0 0 0 0 0 2 2 2 0 0 5 0 0 2 0 2 2 0 2 2 0 2 2 2 2 2 0 2 4 5 4 4 4 0 0 2 2 0 0 2 0 2 2 2 0 2 2 0 2 0 5 2 2 2 2 2 2 0 0 0 2 0 0 2 2 2 2 0 2 2 5 0 0 2 0 2 0 0 0 2 0 2 0 2 2 2 0 2 2 2 0 0 2 2 0 2 0 0 2 2 0 0 5 2 0 0 2 2 0 0 2 0 0 2 0 2 2 2 0 0 2 2 4 2 2 2 0 2 0 0 2 2 0 0 0 0 0 2 0 2 4 5 4 4 4 0 2 2 0 2 0 2 2 0 0 0 2 0 0 2 2 0 4 2 0 2 0 2 0 0 0 2 2 2 2 2 0 2 0 2 2 0 5 2 0 2 0 0 2 0 0 2 0 0 2 2 2 2 0 2 2 2 0 2 2 0 2 0 0 2 0 0 0 2 2 0 0 2 0 2 0 0 0 2 2 0 2 2 0 0 0 2 2 0 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 0 2 0 2 2 2 2 0 2 0 0 2 2 0 2 0 2 2 0 2 0 0 2 0 2 0 0 0 0 0 2 0 2 2 2 0 2 2 0 2 2 2 0 0 4 0 2 2 0 0 4 4 4 4 4 2 0 2 0 2 2 2 0 0 0 2 4 2 0 2 0 2 0 2 2 2 2 0 0 0 0 2 2 2 2 0 2 2 4 4 4 2 2 2 0 2 2 2 0 2 0 0 2 2 0 0 0 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 0 0 2 0 2 2 2 0 0 2 2 2 0 0 2 2 0 2 0 2 2 0 0 2 2 0 2 0 2 2 2 0 0 0 2 2 2 2 0 0 2 0 2 2 0 0 0 2 2 0 0 0 2 2 2 0 2 0 2 0 2 2 4 2 0 2 0 0 2 2 0 0 0 0 2 2 2 0 0 2 0 0 0 2 2 0 2 2 2 0 0 0 0 2 2 2 2 2 0 0 2 2 0 2 4 2 4 2 2 0 0 2 2 2 0 2 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 0 2 0 2 0 2 2 0 0 2 2 4 0 2 2 0 0 0 2 0 0 0 2 2 2 2 2 0 0 0 2 0 2 4 2 2 2 0 2 0 0 0 0 2 2 2 2 0 0 0 2 0 2 4 4 2 4 4 2 0 0 2 0 2 2 2 0 0 2 2 0 0 0 2 2 0 2 2 2 0 2 0 2 0 2 0 2 2 0 2 2 2 0 0 0 0 0 2 2 2 0 0 0 0 2 2 0 0 2 2 0 0 2 2 2 0 2 0 2 2 0 0 0 2 2 0 0 2 2 0 0 0 0 0 2 2 2 0 2 0 2 0 0 2 2 0 2 0 0 0 2 0 2 0 0 0 2 2 0
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 2 2 2 2 0 2 0 2 2 2 2 0 5 0 0 2 2 0 2 0 2\n2 0 2 0 0 2 0 2 0 0 0 0 0 5 0 2 2 2 0 2 2 0\n2 2 2 0 0 4 0 2 2 0 0 4 4 4 4 4 2 0 2 0 2 2\n2 0 0 0 2 4 2 0 2 0 2 0 2 5 2 2 0 0 0 0 2 2\n2 2 0 5 5 4 4 4 2 2 2 0 2 5 2 0 2 0 0 2 2 0\n0 0 2 2 2 5 2 2 2 2 0 0 2 2 2 2 2 0 0 2 0 2\n2 2 0 0 2 5 2 0 0 2 2 0 2 0 2 2 0 0 2 2 0 2\n0 2 2 2 0 0 0 2 2 2 2 0 0 2 0 2 2 0 0 0 2 2\n0 0 0 2 2 2 0 2 0 2 0 2 2 4 2 0 2 0 0 2 2 0\n0 0 0 2 2 2 0 0 2 0 0 0 2 5 0 2 2 2 0 0 0 0\n2 2 2 2 2 0 0 2 2 0 2 4 5 4 5 5 0 0 2 2 2 0\n2 0 0 0 0 0 0 0 0 0 0 2 2 5 0 2 0 0 2 0 2 0\n2 2 0 0 2 2 4 0 2 2 0 0 0 5 0 0 0 2 2 2 2 2\n0 0 0 2 0 2 4 2 2 2 0 2 0 0 0 0 2 2 2 2 0 0\n0 2 0 2 4 4 5 4 4 2 0 0 2 0 2 2 2 0 0 2 2 0\n0 0 2 2 0 2 5 2 0 2 0 2 0 2 0 2 2 0 2 2 2 0\n0 0 0 0 2 2 5 0 0 0 0 2 2 0 0 2 2 0 0 2 2 2\n0 2 0 2 2 0 0 0 2 2 0 0 2 2 0 0 0 0 0 2 2 2\n0 2 0 2 0 0 2 2 0 2 0 0 0 2 0 2 0 0 0 2 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:\n0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 2\n0 2 2 2 0 0 0 2 2 2 2 0 0 2 2 0 2 0 0 0 2 2\n0 0 2 2 0 4 2 0 0 0 2 0 0 0 2 2 0 0 0 2 2 2\n2 0 0 0 2 4 0 2 2 0 2 0 0 2 0 0 2 2 2 0 0 0\n0 2 2 0 0 2 2 0 2 0 0 2 0 0 2 2 2 0 0 0 0 0\n0 0 4 2 2 4 4 4 4 0 0 0 2 2 0 2 0 0 2 0 2 0\n2 0 2 0 0 2 2 2 0 0 0 0 0 2 0 0 2 2 0 0 0 2\n0 0 2 2 0 4 2 2 2 0 0 2 0 0 0 0 0 2 2 0 0 0\n0 2 2 0 0 2 0 0 2 0 2 2 0 2 2 0 2 2 0 0 2 2\n0 2 0 2 0 2 2 2 2 2 0 0 0 0 2 0 2 2 2 0 2 2\n2 0 0 2 0 0 0 0 0 2 2 0 2 2 0 0 0 0 0 2 0 0\n2 0 0 0 0 0 2 0 2 0 0 0 4 0 0 0 0 0 0 2 0 2\n0 0 0 0 0 2 0 0 0 2 2 0 4 2 0 2 2 0 2 0 0 0\n0 2 2 0 2 0 0 0 0 0 2 0 4 2 0 0 2 0 0 2 2 2\n0 2 0 0 2 0 0 0 2 4 2 4 2 2 2 4 2 0 2 0 0 0\n0 0 0 0 0 2 0 0 0 2 0 0 4 2 2 0 0 2 0 2 2 0\n2 0 0 2 2 0 0 0 2 0 0 0 4 2 2 2 0 2 2 2 0 0\n2 0 2 2 0 2 2 2 0 0 2 2 4 0 0 0 0 0 0 0 2 0\n0 2 0 0 2 2 2 2 0 0 2 0 2 0 2 0 0 2 0 0 2 2\n0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 0 2 0 0 0\nOutput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 0 0 0 2\n0 2 2 2 0 0 0 2 2 2 2 0 0 2 2 0 2 0 0 0 2 2\n0 0 2 2 0 4 2 0 0 0 2 0 0 0 2 2 0 0 0 2 2 2\n2 0 0 0 2 4 0 2 2 0 2 0 0 2 0 0 2 2 2 0 0 0\n0 2 2 0 0 5 2 0 2 0 0 2 0 0 2 2 2 0 0 0 0 0\n0 0 4 5 5 4 4 4 4 0 0 0 2 2 0 2 0 0 2 0 2 0\n2 0 2 0 0 5 2 2 0 0 0 0 0 2 0 0 2 2 0 0 0 2\n0 0 2 2 0 4 2 2 2 0 0 2 0 0 0 0 0 2 2 0 0 0\n0 2 2 0 0 5 0 0 2 0 2 2 0 2 2 0 2 2 0 0 2 2\n0 2 0 2 0 2 2 2 2 2 0 0 0 0 2 0 2 2 2 0 2 2\n2 0 0 2 0 0 0 0 0 2 2 0 2 2 0 0 0 0 0 2 0 0\n2 0 0 0 0 0 2 0 2 0 0 0 4 0 0 0 0 0 0 2 0 2\n0 0 0 0 0 2 0 0 0 2 2 0 4 2 0 2 2 0 2 0 0 0\n0 2 2 0 2 0 0 0 0 0 2 0 4 2 0 0 2 0 0 2 2 2\n0 2 0 0 2 0 0 0 2 4 5 4 5 5 5 4 2 0 2 0 0 0\n0 0 0 0 0 2 0 0 0 2 0 0 4 2 2 0 0 2 0 2 2 0\n2 0 0 2 2 0 0 0 2 0 0 0 4 2 2 2 0 2 2 2 0 0\n2 0 2 2 0 2 2 2 0 0 2 2 4 0 0 0 0 0 0 0 2 0\n0 2 0 0 2 2 2 2 0 0 2 0 2 0 2 0 0 2 0 0 2 2\n0 0 0 0 0 0 0 2 0 0 2 2 2 2 2 2 0 0 2 0 0 0\n\nExample 2:\n\nInput:\n0 2 2 0 2 0 0 0 0 0 2 0 0 2 0 2 2 2 2\n2 0 2 0 2 0 0 0 0 0 0 2 0 0 2 0 2 0 2\n2 2 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 0 0\n0 2 2 2 0 0 2 0 0 0 2 0 2 2 2 2 0 0 0\n2 0 0 2 2 2 2 2 0 0 2 2 2 0 2 2 2 0 2\n0 2 0 0 2 2 0 0 2 2 0 0 2 0 0 2 0 0 0\n0 4 2 0 2 2 0 0 2 2 2 2 2 0 2 2 2 2 0\n2 4 2 2 2 0 0 2 2 2 2 0 0 2 2 2 2 0 2\n2 4 4 2 0 0 2 0 0 2 2 2 2 2 2 2 2 0 0\n2 2 2 0 2 2 2 2 0 0 2 4 2 2 2 0 0 0 0\n0 2 0 2 2 2 2 2 0 2 0 2 2 2 2 0 2 2 2\n2 0 2 0 0 2 2 0 2 4 4 2 4 4 2 2 0 2 0\n2 0 0 0 0 0 2 0 2 0 2 4 2 0 0 2 0 2 2\n2 2 0 0 0 2 2 2 0 2 2 2 2 0 0 0 2 0 0\n2 2 2 2 2 0 0 0 2 2 2 2 2 2 0 0 2 0 0\n0 2 2 2 0 2 0 2 2 0 0 0 2 2 2 0 2 0 0\n0 0 2 2 2 0 2 2 2 2 0 0 2 2 2 2 2 0 2\n0 0 2 0 2 0 2 2 2 2 0 2 2 0 0 0 2 2 0\nOutput:\n0 2 2 0 2 0 0 0 0 0 2 0 0 2 0 2 2 2 2\n2 0 2 0 2 0 0 0 0 0 0 2 0 0 2 0 2 0 2\n2 2 0 0 2 2 2 2 0 2 2 0 2 0 2 0 0 0 0\n0 2 2 2 0 0 2 0 0 0 2 0 2 2 2 2 0 0 0\n2 0 0 2 2 2 2 2 0 0 2 2 2 0 2 2 2 0 2\n0 2 0 0 2 2 0 0 2 2 0 0 2 0 0 2 0 0 0\n0 4 2 0 2 2 0 0 2 2 2 2 2 0 2 2 2 2 0\n2 4 2 2 2 0 0 2 2 2 2 0 0 2 2 2 2 0 2\n5 4 4 5 0 0 2 0 0 2 2 2 2 2 2 2 2 0 0\n2 5 2 0 2 2 2 2 0 0 2 4 2 2 2 0 0 0 0\n0 5 0 2 2 2 2 2 0 2 0 5 2 2 2 0 2 2 2\n2 0 2 0 0 2 2 0 2 4 4 5 4 4 2 2 0 2 0\n2 0 0 0 0 0 2 0 2 0 2 4 2 0 0 2 0 2 2\n2 2 0 0 0 2 2 2 0 2 2 5 2 0 0 0 2 0 0\n2 2 2 2 2 0 0 0 2 2 2 2 2 2 0 0 2 0 0\n0 2 2 2 0 2 0 2 2 0 0 0 2 2 2 0 2 0 0\n0 0 2 2 2 0 2 2 2 2 0 0 2 2 2 2 2 0 2\n0 0 2 0 2 0 2 2 2 2 0 2 2 0 0 0 2 2 0\n\nExample 3:\n\nInput:\n2 0 0 0 0 2 0 0 2 2 2 2\n2 0 0 0 2 2 2 2 2 0 0 0\n0 2 2 0 2 0 0 0 0 2 0 0\n2 0 0 0 0 2 0 0 0 0 0 0\n2 2 2 0 2 0 0 2 2 0 0 0\n2 2 2 0 2 2 0 2 4 0 0 2\n2 0 0 2 2 2 4 2 4 4 4 0\n2 2 0 0 2 0 2 0 4 2 0 2\n2 0 2 0 0 2 2 0 4 0 2 0\n2 0 2 0 0 0 0 0 2 0 0 2\n0 2 0 0 0 0 2 0 0 0 0 2\nOutput:\n2 0 0 0 0 2 0 0 2 2 2 2\n2 0 0 0 2 2 2 2 2 0 0 0\n0 2 2 0 2 0 0 0 0 2 0 0\n2 0 0 0 0 2 0 0 0 0 0 0\n2 2 2 0 2 0 0 2 5 0 0 0\n2 2 2 0 2 2 0 2 4 0 0 2\n2 0 0 2 2 2 4 5 4 4 4 0\n2 2 0 0 2 0 2 0 4 2 0 2\n2 0 2 0 0 2 2 0 4 0 2 0\n2 0 2 0 0 0 0 0 2 0 0 2\n0 2 0 0 0 0 2 0 0 0 0 2\n\nExample 4:\n\nInput:\n2 2 2 0 2 0 2 0 2 2 0 0 2 2 0 0 0 0 0 2\n0 0 2 0 2 2 0 2 2 2 0 2 2 2 0 2 0 0 2 2\n0 0 2 0 2 0 2 2 0 2 2 2 0 0 2 0 0 0 2 0\n0 2 2 0 0 2 2 4 2 0 2 2 0 0 2 0 2 2 0 0\n0 0 2 0 2 2 2 4 4 2 2 0 0 2 0 0 2 2 0 0\n2 2 0 0 0 2 2 2 0 2 2 0 2 2 2 2 0 0 2 2\n2 2 0 0 2 2 0 2 0 0 2 2 2 0 0 0 0 0 0 0\n0 0 2 0 0 2 0 2 2 0 2 2 2 2 2 2 2 2 2 0\n0 0 2 0 0 0 0 0 0 2 2 2 0 0 2 0 0 2 0 2\n2 0 2 2 0 2 2 2 2 2 0 2 4 2 4 4 4 0 0 2\n2 0 0 2 0 2 2 2 0 2 2 0 2 0 2 2 2 2 2 2\n2 0 0 0 2 0 0 2 2 2 2 0 2 2 2 0 0 2 0 2\n0 0 0 2 0 2 0 2 2 2 0 2 2 2 0 0 2 2 0 2\n0 0 2 2 0 0 2 2 0 0 2 2 0 0 2 0 0 2 0 2\n2 2 0 0 2 2 4 2 2 2 0 2 0 0 2 2 0 0 0 0\n0 2 0 2 4 2 4 4 4 0 2 2 0 2 0 2 2 0 0 0\n2 0 0 2 2 0 4 2 0 2 0 2 0 0 0 2 2 2 2 2\n0 2 0 2 2 0 2 2 0 2 0 0 2 0 0 2 0 0 2 2\n2 2 0 2 2 2 0 2 2 0 2 0 0 2 0 0 0 2 2 0\n0 2 0 2 0 0 0 2 2 0 2 2 0 0 0 2 2 0 2 2\nOutput:\n2 2 2 0 2 0 2 0 2 2 0 0 2 2 0 0 0 0 0 2\n0 0 2 0 2 2 0 2 2 2 0 2 2 2 0 2 0 0 2 2\n0 0 2 0 2 0 2 5 0 2 2 2 0 0 2 0 0 0 2 0\n0 2 2 0 0 2 2 4 2 0 2 2 0 0 2 0 2 2 0 0\n0 0 2 0 2 5 5 4 4 5 2 0 0 2 0 0 2 2 0 0\n2 2 0 0 0 2 2 5 0 2 2 0 2 2 2 2 0 0 2 2\n2 2 0 0 2 2 0 5 0 0 2 2 2 0 0 0 0 0 0 0\n0 0 2 0 0 2 0 2 2 0 2 2 2 2 5 2 2 2 2 0\n0 0 2 0 0 0 0 0 0 2 2 2 0 0 5 0 0 2 0 2\n2 0 2 2 0 2 2 2 2 2 0 2 4 5 4 4 4 0 0 2\n2 0 0 2 0 2 2 2 0 2 2 0 2 0 5 2 2 2 2 2\n2 0 0 0 2 0 0 2 2 2 2 0 2 2 5 0 0 2 0 2\n0 0 0 2 0 2 0 2 2 2 0 2 2 2 0 0 2 2 0 2\n0 0 2 2 0 0 5 2 0 0 2 2 0 0 2 0 0 2 0 2\n2 2 0 0 2 2 4 2 2 2 0 2 0 0 2 2 0 0 0 0\n0 2 0 2 4 5 4 4 4 0 2 2 0 2 0 2 2 0 0 0\n2 0 0 2 2 0 4 2 0 2 0 2 0 0 0 2 2 2 2 2\n0 2 0 2 2 0 5 2 0 2 0 0 2 0 0 2 0 0 2 2\n2 2 0 2 2 2 0 2 2 0 2 0 0 2 0 0 0 2 2 0\n0 2 0 2 0 0 0 2 2 0 2 2 0 0 0 2 2 0 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 0 2 0 2 2 2 2 0 2 0 0 2 2 0 2 0 2\n2 0 2 0 0 2 0 2 0 0 0 0 0 2 0 2 2 2 0 2 2 0\n2 2 2 0 0 4 0 2 2 0 0 4 4 4 4 4 2 0 2 0 2 2\n2 0 0 0 2 4 2 0 2 0 2 0 2 2 2 2 0 0 0 0 2 2\n2 2 0 2 2 4 4 4 2 2 2 0 2 2 2 0 2 0 0 2 2 0\n0 0 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 0 0 2 0 2\n2 2 0 0 2 2 2 0 0 2 2 0 2 0 2 2 0 0 2 2 0 2\n0 2 2 2 0 0 0 2 2 2 2 0 0 2 0 2 2 0 0 0 2 2\n0 0 0 2 2 2 0 2 0 2 0 2 2 4 2 0 2 0 0 2 2 0\n0 0 0 2 2 2 0 0 2 0 0 0 2 2 0 2 2 2 0 0 0 0\n2 2 2 2 2 0 0 2 2 0 2 4 2 4 2 2 0 0 2 2 2 0\n2 0 0 0 0 0 0 0 0 0 0 2 2 2 0 2 0 0 2 0 2 0\n2 2 0 0 2 2 4 0 2 2 0 0 0 2 0 0 0 2 2 2 2 2\n0 0 0 2 0 2 4 2 2 2 0 2 0 0 0 0 2 2 2 2 0 0\n0 2 0 2 4 4 2 4 4 2 0 0 2 0 2 2 2 0 0 2 2 0\n0 0 2 2 0 2 2 2 0 2 0 2 0 2 0 2 2 0 2 2 2 0\n0 0 0 0 2 2 2 0 0 0 0 2 2 0 0 2 2 0 0 2 2 2\n0 2 0 2 2 0 0 0 2 2 0 0 2 2 0 0 0 0 0 2 2 2\n0 2 0 2 0 0 2 2 0 2 0 0 0 2 0 2 0 0 0 2 2 0\n", "answer": "2 2 2 2 2 0 2 0 2 2 2 2 0 5 0 0 2 2 0 2 0 2\n2 0 2 0 0 2 0 2 0 0 0 0 0 5 0 2 2 2 0 2 2 0\n2 2 2 0 0 4 0 2 2 0 0 4 4 4 4 4 2 0 2 0 2 2\n2 0 0 0 2 4 2 0 2 0 2 0 2 5 2 2 0 0 0 0 2 2\n2 2 0 5 5 4 4 4 2 2 2 0 2 5 2 0 2 0 0 2 2 0\n0 0 2 2 2 5 2 2 2 2 0 0 2 2 2 2 2 0 0 2 0 2\n2 2 0 0 2 5 2 0 0 2 2 0 2 0 2 2 0 0 2 2 0 2\n0 2 2 2 0 0 0 2 2 2 2 0 0 2 0 2 2 0 0 0 2 2\n0 0 0 2 2 2 0 2 0 2 0 2 2 4 2 0 2 0 0 2 2 0\n0 0 0 2 2 2 0 0 2 0 0 0 2 5 0 2 2 2 0 0 0 0\n2 2 2 2 2 0 0 2 2 0 2 4 5 4 5 5 0 0 2 2 2 0\n2 0 0 0 0 0 0 0 0 0 0 2 2 5 0 2 0 0 2 0 2 0\n2 2 0 0 2 2 4 0 2 2 0 0 0 5 0 0 0 2 2 2 2 2\n0 0 0 2 0 2 4 2 2 2 0 2 0 0 0 0 2 2 2 2 0 0\n0 2 0 2 4 4 5 4 4 2 0 0 2 0 2 2 2 0 0 2 2 0\n0 0 2 2 0 2 5 2 0 2 0 2 0 2 0 2 2 0 2 2 2 0\n0 0 0 0 2 2 5 0 0 0 0 2 2 0 0 2 2 0 0 2 2 2\n0 2 0 2 2 0 0 0 2 2 0 0 2 2 0 0 0 0 0 2 2 2\n0 2 0 2 0 0 2 2 0 2 0 0 0 2 0 2 0 0 0 2 2 0", "metadata": {"source_dataset": "arc_agi", "source_index": 140, "input": [[2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2], [2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0], [2, 2, 2, 0, 0, 4, 0, 2, 2, 0, 0, 4, 4, 4, 4, 4, 2, 0, 2, 0, 2, 2], [2, 0, 0, 0, 2, 4, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2], [2, 2, 0, 2, 2, 4, 4, 4, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0], [0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2], [2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2], [0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2], [0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 4, 2, 0, 2, 0, 0, 2, 2, 0], [0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0], [2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 4, 2, 4, 2, 2, 0, 0, 2, 2, 2, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0], [2, 2, 0, 0, 2, 2, 4, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2], [0, 0, 0, 2, 0, 2, 4, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0], [0, 2, 0, 2, 4, 4, 2, 4, 4, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0], [0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0], [0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2], [0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2], [0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0]], "output": [[2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 5, 0, 0, 2, 2, 0, 2, 0, 2], [2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 5, 0, 2, 2, 2, 0, 2, 2, 0], [2, 2, 2, 0, 0, 4, 0, 2, 2, 0, 0, 4, 4, 4, 4, 4, 2, 0, 2, 0, 2, 2], [2, 0, 0, 0, 2, 4, 2, 0, 2, 0, 2, 0, 2, 5, 2, 2, 0, 0, 0, 0, 2, 2], [2, 2, 0, 5, 5, 4, 4, 4, 2, 2, 2, 0, 2, 5, 2, 0, 2, 0, 0, 2, 2, 0], [0, 0, 2, 2, 2, 5, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2], [2, 2, 0, 0, 2, 5, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2], [0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2], [0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 4, 2, 0, 2, 0, 0, 2, 2, 0], [0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 5, 0, 2, 2, 2, 0, 0, 0, 0], [2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 4, 5, 4, 5, 5, 0, 0, 2, 2, 2, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 5, 0, 2, 0, 0, 2, 0, 2, 0], [2, 2, 0, 0, 2, 2, 4, 0, 2, 2, 0, 0, 0, 5, 0, 0, 0, 2, 2, 2, 2, 2], [0, 0, 0, 2, 0, 2, 4, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0], [0, 2, 0, 2, 4, 4, 5, 4, 4, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0], [0, 0, 2, 2, 0, 2, 5, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0], [0, 0, 0, 0, 2, 2, 5, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2], [0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2], [0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0]], "task_id": "50846271", "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": 140, "input": [[2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2], [2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0], [2, 2, 2, 0, 0, 4, 0, 2, 2, 0, 0, 4, 4, 4, 4, 4, 2, 0, 2, 0, 2, 2], [2, 0, 0, 0, 2, 4, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2], [2, 2, 0, 2, 2, 4, 4, 4, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0], [0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2], [2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2], [0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2], [0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 4, 2, 0, 2, 0, 0, 2, 2, 0], [0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0], [2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 4, 2, 4, 2, 2, 0, 0, 2, 2, 2, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0], [2, 2, 0, 0, 2, 2, 4, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2], [0, 0, 0, 2, 0, 2, 4, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0], [0, 2, 0, 2, 4, 4, 2, 4, 4, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0], [0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0], [0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2], [0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2], [0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0]], "output": [[2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 5, 0, 0, 2, 2, 0, 2, 0, 2], [2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 5, 0, 2, 2, 2, 0, 2, 2, 0], [2, 2, 2, 0, 0, 4, 0, 2, 2, 0, 0, 4, 4, 4, 4, 4, 2, 0, 2, 0, 2, 2], [2, 0, 0, 0, 2, 4, 2, 0, 2, 0, 2, 0, 2, 5, 2, 2, 0, 0, 0, 0, 2, 2], [2, 2, 0, 5, 5, 4, 4, 4, 2, 2, 2, 0, 2, 5, 2, 0, 2, 0, 0, 2, 2, 0], [0, 0, 2, 2, 2, 5, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2], [2, 2, 0, 0, 2, 5, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2], [0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2], [0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 4, 2, 0, 2, 0, 0, 2, 2, 0], [0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 5, 0, 2, 2, 2, 0, 0, 0, 0], [2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 4, 5, 4, 5, 5, 0, 0, 2, 2, 2, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 5, 0, 2, 0, 0, 2, 0, 2, 0], [2, 2, 0, 0, 2, 2, 4, 0, 2, 2, 0, 0, 0, 5, 0, 0, 0, 2, 2, 2, 2, 2], [0, 0, 0, 2, 0, 2, 4, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0], [0, 2, 0, 2, 4, 4, 5, 4, 4, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0], [0, 0, 2, 2, 0, 2, 5, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0], [0, 0, 0, 0, 2, 2, 5, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2], [0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2], [0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0]], "task_id": "50846271", "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 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 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 9 9 8 2 2 8 9 9 8 9 9 8 9 9 8 2 2 8 9 9 8 9 9 9 9 8 2 2 8 9 9 8 9 9 8 9 9 8 2 2 8 9 9 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 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 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 9 9 8 9 9 8 9 9 8 7 7 8 9 9 8 9 9 8 1 1 8 9 9 9 9 8 9 9 8 9 9 8 7 7 8 9 9 8 9 9 8 1 1 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 9 9 8 0 0 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 9 9 8 0 0 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 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 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 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 9 9 8 9 9 8 9 9 8 9 9 8 1 1 8 9 9 8 1 1 8 9 9 9 9 8 9 9 8 9 9 8 9 9 8 1 1 8 9 9 8 1 1 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 9 9 8 9 9 8 9 9 8 7 7 8 9 9 8 9 9 8 9 9 8 9 9 9 9 8 9 9 8 9 9 8 7 7 8 9 9 8 9 9 8 9 9 8 9 9 Output: 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 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 9 9 8 2 2 8 2 2 8 2 2 8 2 2 8 2 2 8 9 9 8 9 9 9 9 8 2 2 8 2 2 8 2 2 8 2 2 8 2 2 8 9 9 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 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 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 9 9 8 9 9 8 9 9 8 7 7 8 9 9 8 9 9 8 1 1 8 9 9 9 9 8 9 9 8 9 9 8 7 7 8 9 9 8 9 9 8 1 1 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 9 9 8 0 0 8 9 9 8 7 7 8 9 9 8 9 9 8 1 1 8 9 9 9 9 8 0 0 8 9 9 8 7 7 8 9 9 8 9 9 8 1 1 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 9 9 8 9 9 8 9 9 8 7 7 8 9 9 8 9 9 8 1 1 8 9 9 9 9 8 9 9 8 9 9 8 7 7 8 9 9 8 9 9 8 1 1 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 9 9 8 9 9 8 9 9 8 7 7 8 1 1 8 1 1 8 1 1 8 9 9 9 9 8 9 9 8 9 9 8 7 7 8 1 1 8 1 1 8 1 1 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 9 9 8 9 9 8 9 9 8 7 7 8 9 9 8 9 9 8 9 9 8 9 9 9 9 8 9 9 8 9 9 8 7 7 8 9 9 8 9 9 8 9 9 8 9 9 Example 2: Input: 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 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 9 9 0 6 6 0 9 9 0 9 9 0 9 9 0 9 9 0 6 6 0 9 9 9 9 0 6 6 0 9 9 0 9 9 0 9 9 0 9 9 0 6 6 0 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 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 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 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9 0 9 9 0 9 9 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9 0 9 9 0 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 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 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 9 9 0 2 2 0 9 9 0 9 9 0 9 9 0 9 9 0 6 6 0 9 9 9 9 0 2 2 0 9 9 0 9 9 0 9 9 0 9 9 0 6 6 0 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 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9 0 9 9 0 9 9 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9 0 9 9 0 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 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 Output: 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 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 9 9 0 6 6 0 6 6 0 6 6 0 6 6 0 6 6 0 6 6 0 9 9 9 9 0 6 6 0 6 6 0 6 6 0 6 6 0 6 6 0 6 6 0 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 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 6 6 0 9 9 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 6 6 0 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 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9 0 6 6 0 9 9 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9 0 6 6 0 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 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9 0 6 6 0 9 9 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9 0 6 6 0 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 9 9 0 2 2 0 9 9 0 2 2 0 9 9 0 9 9 0 6 6 0 9 9 9 9 0 2 2 0 9 9 0 2 2 0 9 9 0 9 9 0 6 6 0 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 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9 0 9 9 0 9 9 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9 0 9 9 0 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 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 Example 3: Input: 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9 9 1 2 2 1 9 9 1 9 9 1 6 6 1 9 9 1 9 9 9 9 1 2 2 1 9 9 1 9 9 1 6 6 1 9 9 1 9 9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9 9 1 9 9 1 8 8 1 9 9 1 6 6 1 9 9 1 9 9 9 9 1 9 9 1 8 8 1 9 9 1 6 6 1 9 9 1 9 9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9 9 1 2 2 1 9 9 1 2 2 1 9 9 1 9 9 1 9 9 9 9 1 2 2 1 9 9 1 2 2 1 9 9 1 9 9 1 9 9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 Output: 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9 9 1 2 2 1 9 9 1 9 9 1 6 6 1 9 9 1 9 9 9 9 1 2 2 1 9 9 1 9 9 1 6 6 1 9 9 1 9 9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9 9 1 2 2 1 9 9 1 9 9 1 6 6 1 9 9 1 9 9 9 9 1 2 2 1 9 9 1 9 9 1 6 6 1 9 9 1 9 9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9 9 1 2 2 1 8 8 1 9 9 1 6 6 1 9 9 1 9 9 9 9 1 2 2 1 8 8 1 9 9 1 6 6 1 9 9 1 9 9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9 9 1 2 2 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 9 9 1 2 2 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9 9 1 2 2 1 2 2 1 2 2 1 9 9 1 9 9 1 9 9 9 9 1 2 2 1 2 2 1 2 2 1 9 9 1 9 9 1 9 9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 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 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 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 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 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 9 9 0 1 1 0 9 9 0 9 9 0 1 1 0 9 9 0 9 9 0 9 9 0 9 9 9 9 0 1 1 0 9 9 0 9 9 0 1 1 0 9 9 0 9 9 0 9 9 0 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 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 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 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 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 9 9 0 2 2 0 9 9 0 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9 9 9 0 2 2 0 9 9 0 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 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 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 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 9 9 0 9 9 0 9 9 0 6 6 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 9 9 0 9 9 0 9 9 0 6 6 0 9 9 0 9 9 0 9 9 0 9 9 0 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 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 1 1 0 1 1 0 1 1 0 1 1 0 9 9 0 2 2 0 9 9 0 9 9\n9 9 0 1 1 0 1 1 0 1 1 0 1 1 0 9 9 0 2 2 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 2 2 0 2 2 0 2 2 0 2 2 0 2 2 0 2 2 0 9 9 0 9 9\n9 9 0 2 2 0 2 2 0 2 2 0 2 2 0 2 2 0 2 2 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 6 6 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 6 6 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 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 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9\n9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n9 9 8 2 2 8 9 9 8 9 9 8 9 9 8 2 2 8 9 9 8 9 9\n9 9 8 2 2 8 9 9 8 9 9 8 9 9 8 2 2 8 9 9 8 9 9\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9\n9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n9 9 8 9 9 8 9 9 8 7 7 8 9 9 8 9 9 8 1 1 8 9 9\n9 9 8 9 9 8 9 9 8 7 7 8 9 9 8 9 9 8 1 1 8 9 9\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n9 9 8 0 0 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9\n9 9 8 0 0 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9\n9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n9 9 8 9 9 8 9 9 8 9 9 8 1 1 8 9 9 8 1 1 8 9 9\n9 9 8 9 9 8 9 9 8 9 9 8 1 1 8 9 9 8 1 1 8 9 9\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n9 9 8 9 9 8 9 9 8 7 7 8 9 9 8 9 9 8 9 9 8 9 9\n9 9 8 9 9 8 9 9 8 7 7 8 9 9 8 9 9 8 9 9 8 9 9\nOutput:\n9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9\n9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n9 9 8 2 2 8 2 2 8 2 2 8 2 2 8 2 2 8 9 9 8 9 9\n9 9 8 2 2 8 2 2 8 2 2 8 2 2 8 2 2 8 9 9 8 9 9\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9\n9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9 8 9 9\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n9 9 8 9 9 8 9 9 8 7 7 8 9 9 8 9 9 8 1 1 8 9 9\n9 9 8 9 9 8 9 9 8 7 7 8 9 9 8 9 9 8 1 1 8 9 9\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n9 9 8 0 0 8 9 9 8 7 7 8 9 9 8 9 9 8 1 1 8 9 9\n9 9 8 0 0 8 9 9 8 7 7 8 9 9 8 9 9 8 1 1 8 9 9\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n9 9 8 9 9 8 9 9 8 7 7 8 9 9 8 9 9 8 1 1 8 9 9\n9 9 8 9 9 8 9 9 8 7 7 8 9 9 8 9 9 8 1 1 8 9 9\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n9 9 8 9 9 8 9 9 8 7 7 8 1 1 8 1 1 8 1 1 8 9 9\n9 9 8 9 9 8 9 9 8 7 7 8 1 1 8 1 1 8 1 1 8 9 9\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n9 9 8 9 9 8 9 9 8 7 7 8 9 9 8 9 9 8 9 9 8 9 9\n9 9 8 9 9 8 9 9 8 7 7 8 9 9 8 9 9 8 9 9 8 9 9\n\nExample 2:\n\nInput:\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 6 6 0 9 9 0 9 9 0 9 9 0 9 9 0 6 6 0 9 9\n9 9 0 6 6 0 9 9 0 9 9 0 9 9 0 9 9 0 6 6 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 2 2 0 9 9 0 9 9 0 9 9 0 9 9 0 6 6 0 9 9\n9 9 0 2 2 0 9 9 0 9 9 0 9 9 0 9 9 0 6 6 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\nOutput:\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 6 6 0 6 6 0 6 6 0 6 6 0 6 6 0 6 6 0 9 9\n9 9 0 6 6 0 6 6 0 6 6 0 6 6 0 6 6 0 6 6 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 6 6 0 9 9\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 6 6 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9 0 6 6 0 9 9\n9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9 0 6 6 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9 0 6 6 0 9 9\n9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9 0 6 6 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 2 2 0 9 9 0 2 2 0 9 9 0 9 9 0 6 6 0 9 9\n9 9 0 2 2 0 9 9 0 2 2 0 9 9 0 9 9 0 6 6 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n\nExample 3:\n\nInput:\n9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9\n9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n9 9 1 2 2 1 9 9 1 9 9 1 6 6 1 9 9 1 9 9\n9 9 1 2 2 1 9 9 1 9 9 1 6 6 1 9 9 1 9 9\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9\n9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n9 9 1 9 9 1 8 8 1 9 9 1 6 6 1 9 9 1 9 9\n9 9 1 9 9 1 8 8 1 9 9 1 6 6 1 9 9 1 9 9\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9\n9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n9 9 1 2 2 1 9 9 1 2 2 1 9 9 1 9 9 1 9 9\n9 9 1 2 2 1 9 9 1 2 2 1 9 9 1 9 9 1 9 9\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9\n9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9\nOutput:\n9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9\n9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n9 9 1 2 2 1 9 9 1 9 9 1 6 6 1 9 9 1 9 9\n9 9 1 2 2 1 9 9 1 9 9 1 6 6 1 9 9 1 9 9\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n9 9 1 2 2 1 9 9 1 9 9 1 6 6 1 9 9 1 9 9\n9 9 1 2 2 1 9 9 1 9 9 1 6 6 1 9 9 1 9 9\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n9 9 1 2 2 1 8 8 1 9 9 1 6 6 1 9 9 1 9 9\n9 9 1 2 2 1 8 8 1 9 9 1 6 6 1 9 9 1 9 9\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n9 9 1 2 2 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9\n9 9 1 2 2 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n9 9 1 2 2 1 2 2 1 2 2 1 9 9 1 9 9 1 9 9\n9 9 1 2 2 1 2 2 1 2 2 1 9 9 1 9 9 1 9 9\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9\n9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 9 9 1 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 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 1 1 0 9 9 0 9 9 0 1 1 0 9 9 0 9 9 0 9 9 0 9 9\n9 9 0 1 1 0 9 9 0 9 9 0 1 1 0 9 9 0 9 9 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 2 2 0 9 9 0 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9\n9 9 0 2 2 0 9 9 0 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 6 6 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 6 6 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n", "answer": "9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 1 1 0 1 1 0 1 1 0 1 1 0 9 9 0 2 2 0 9 9 0 9 9\n9 9 0 1 1 0 1 1 0 1 1 0 1 1 0 9 9 0 2 2 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 2 2 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 2 2 0 2 2 0 2 2 0 2 2 0 2 2 0 2 2 0 9 9 0 9 9\n9 9 0 2 2 0 2 2 0 2 2 0 2 2 0 2 2 0 2 2 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 6 6 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 6 6 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9\n9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9 0 9 9", "metadata": {"source_dataset": "arc_agi", "source_index": 141, "input": [[9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 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], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 2, 2, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 2, 2, 0, 9, 9, 0, 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], [9, 9, 0, 1, 1, 0, 9, 9, 0, 9, 9, 0, 1, 1, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9], [9, 9, 0, 1, 1, 0, 9, 9, 0, 9, 9, 0, 1, 1, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 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], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 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], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 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9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9]], "output": [[9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 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], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 2, 2, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 2, 2, 0, 9, 9, 0, 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], [9, 9, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 9, 9, 0, 2, 2, 0, 9, 9, 0, 9, 9], [9, 9, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 9, 9, 0, 2, 2, 0, 9, 9, 0, 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], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 2, 2, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 2, 2, 0, 9, 9, 0, 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], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 2, 2, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 2, 2, 0, 9, 9, 0, 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], [9, 9, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 9, 9, 0, 9, 9], [9, 9, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 9, 9, 0, 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], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 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], [9, 9, 0, 9, 9, 0, 9, 9, 0, 6, 6, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 6, 6, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 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], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9]], "task_id": "06df4c85", "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": 141, "input": [[9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 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], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 2, 2, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 2, 2, 0, 9, 9, 0, 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], [9, 9, 0, 1, 1, 0, 9, 9, 0, 9, 9, 0, 1, 1, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9], [9, 9, 0, 1, 1, 0, 9, 9, 0, 9, 9, 0, 1, 1, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 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], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 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], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 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], [9, 9, 0, 2, 2, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 2, 2, 0, 9, 9, 0, 9, 9], [9, 9, 0, 2, 2, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 2, 2, 0, 9, 9, 0, 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], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 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], [9, 9, 0, 9, 9, 0, 9, 9, 0, 6, 6, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 6, 6, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 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], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9]], "output": [[9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 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], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 2, 2, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 2, 2, 0, 9, 9, 0, 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], [9, 9, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 9, 9, 0, 2, 2, 0, 9, 9, 0, 9, 9], [9, 9, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 9, 9, 0, 2, 2, 0, 9, 9, 0, 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], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 2, 2, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 2, 2, 0, 9, 9, 0, 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], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 2, 2, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 2, 2, 0, 9, 9, 0, 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], [9, 9, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 9, 9, 0, 9, 9], [9, 9, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 9, 9, 0, 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], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 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], [9, 9, 0, 9, 9, 0, 9, 9, 0, 6, 6, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 6, 6, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 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], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9], [9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9]], "task_id": "06df4c85", "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 1 1 1 1 8 8 8 8 8 8 1 8 8 1 8 8 8 8 8 8 1 8 8 1 8 8 8 8 8 8 1 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 3 3 3 3 3 8 8 8 8 8 3 8 8 8 3 8 8 8 8 8 3 8 8 8 3 8 8 8 8 8 3 3 3 3 3 8 8 8 8 8 8 8 8 8 8 8 8 8 Output: 3 3 3 3 Example 2: Input: 8 8 8 7 7 7 7 7 7 8 8 8 8 7 8 8 8 8 7 8 8 8 8 7 8 8 8 8 7 8 8 8 8 7 8 8 8 8 7 8 8 8 8 7 8 8 8 8 7 8 8 8 8 7 8 8 8 8 7 8 8 8 8 7 7 7 7 7 7 8 5 5 5 8 8 8 8 8 8 8 5 8 5 8 8 8 8 8 8 8 5 5 5 8 8 8 8 8 8 8 Output: 7 7 7 7 Example 3: Input: 8 8 8 8 8 2 2 2 2 2 8 8 8 8 8 2 8 8 8 2 8 8 8 8 8 2 8 8 8 2 8 8 8 8 8 2 2 2 2 2 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 1 1 1 8 8 8 8 1 8 8 8 8 1 8 8 8 8 1 8 8 8 8 1 8 8 8 8 1 1 1 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 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: 6 6 6 6 8 4 4 4 4 4 6 8 8 6 8 4 8 8 8 4 6 8 8 6 8 4 8 8 8 4 6 8 8 6 8 4 8 8 8 4 6 8 8 6 8 4 8 8 8 4 6 8 8 6 8 4 8 8 8 4 6 8 8 6 8 4 8 8 8 4 6 8 8 6 8 4 8 8 8 4 6 8 8 6 8 4 4 4 4 4 6 6 6 6 8 8 8 8 8 8
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "4 4\n4 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 8 8 8 8 1 1 1 1 8\n8 8 8 8 8 1 8 8 1 8\n8 8 8 8 8 1 8 8 1 8\n8 8 8 8 8 1 1 1 1 8\n8 8 8 8 8 8 8 8 8 8\n8 8 3 3 3 3 3 8 8 8\n8 8 3 8 8 8 3 8 8 8\n8 8 3 8 8 8 3 8 8 8\n8 8 3 3 3 3 3 8 8 8\n8 8 8 8 8 8 8 8 8 8\nOutput:\n3 3\n3 3\n\nExample 2:\n\nInput:\n8 8 8 7 7 7 7 7 7 8\n8 8 8 7 8 8 8 8 7 8\n8 8 8 7 8 8 8 8 7 8\n8 8 8 7 8 8 8 8 7 8\n8 8 8 7 8 8 8 8 7 8\n8 8 8 7 8 8 8 8 7 8\n8 8 8 7 7 7 7 7 7 8\n5 5 5 8 8 8 8 8 8 8\n5 8 5 8 8 8 8 8 8 8\n5 5 5 8 8 8 8 8 8 8\nOutput:\n7 7\n7 7\n\nExample 3:\n\nInput:\n8 8 8 8 8 2 2 2 2 2\n8 8 8 8 8 2 8 8 8 2\n8 8 8 8 8 2 8 8 8 2\n8 8 8 8 8 2 2 2 2 2\n8 8 8 8 8 8 8 8 8 8\n8 8 1 1 1 1 1 1 8 8\n8 8 1 8 8 8 8 1 8 8\n8 8 1 8 8 8 8 1 8 8\n8 8 1 1 1 1 1 1 8 8\n8 8 8 8 8 8 8 8 8 8\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:\n6 6 6 6 8 4 4 4 4 4\n6 8 8 6 8 4 8 8 8 4\n6 8 8 6 8 4 8 8 8 4\n6 8 8 6 8 4 8 8 8 4\n6 8 8 6 8 4 8 8 8 4\n6 8 8 6 8 4 8 8 8 4\n6 8 8 6 8 4 8 8 8 4\n6 8 8 6 8 4 8 8 8 4\n6 8 8 6 8 4 4 4 4 4\n6 6 6 6 8 8 8 8 8 8\n", "answer": "4 4\n4 4", "metadata": {"source_dataset": "arc_agi", "source_index": 142, "input": [[6, 6, 6, 6, 8, 4, 4, 4, 4, 4], [6, 8, 8, 6, 8, 4, 8, 8, 8, 4], [6, 8, 8, 6, 8, 4, 8, 8, 8, 4], [6, 8, 8, 6, 8, 4, 8, 8, 8, 4], [6, 8, 8, 6, 8, 4, 8, 8, 8, 4], [6, 8, 8, 6, 8, 4, 8, 8, 8, 4], [6, 8, 8, 6, 8, 4, 8, 8, 8, 4], [6, 8, 8, 6, 8, 4, 8, 8, 8, 4], [6, 8, 8, 6, 8, 4, 4, 4, 4, 4], [6, 6, 6, 6, 8, 8, 8, 8, 8, 8]], "output": [[4, 4], [4, 4]], "task_id": "445eab21", "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": 142, "input": [[6, 6, 6, 6, 8, 4, 4, 4, 4, 4], [6, 8, 8, 6, 8, 4, 8, 8, 8, 4], [6, 8, 8, 6, 8, 4, 8, 8, 8, 4], [6, 8, 8, 6, 8, 4, 8, 8, 8, 4], [6, 8, 8, 6, 8, 4, 8, 8, 8, 4], [6, 8, 8, 6, 8, 4, 8, 8, 8, 4], [6, 8, 8, 6, 8, 4, 8, 8, 8, 4], [6, 8, 8, 6, 8, 4, 8, 8, 8, 4], [6, 8, 8, 6, 8, 4, 4, 4, 4, 4], [6, 6, 6, 6, 8, 8, 8, 8, 8, 8]], "output": [[4, 4], [4, 4]], "task_id": "445eab21", "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 5 4 6 4 4 4 6 4 4 4 4 4 5 6 4 4 4 6 4 5 4 4 4 4 6 4 4 5 6 4 4 4 6 6 6 6 6 6 6 6 6 6 6 4 4 4 6 5 4 4 6 4 4 4 4 5 4 6 4 4 4 6 4 4 4 4 4 4 6 4 4 4 6 4 4 5 6 6 6 6 6 6 6 6 6 6 6 4 4 5 6 4 4 4 6 5 4 4 4 4 4 6 5 4 5 6 4 4 4 4 5 4 6 4 4 4 6 4 4 4 Output: 8 4 4 4 4 4 8 8 4 Example 2: Input: 5 4 4 6 4 4 4 6 4 4 4 4 4 4 6 4 4 5 6 4 4 4 4 5 4 6 4 4 4 6 4 5 4 6 6 6 6 6 6 6 6 6 6 6 4 4 4 6 4 5 4 6 4 4 4 4 4 5 6 5 4 4 6 4 4 5 4 4 4 6 4 4 4 6 4 4 4 6 6 6 6 6 6 6 6 6 6 6 4 5 4 6 4 4 4 6 4 5 4 4 4 4 6 4 4 4 6 4 4 4 4 4 4 6 4 5 4 6 4 4 4 Output: 8 4 4 4 8 4 4 4 4 Example 3: Input: 4 5 4 6 4 4 4 6 4 4 5 4 4 4 6 4 5 4 6 4 4 4 4 4 4 6 4 4 5 6 4 4 4 6 6 6 6 6 6 6 6 6 6 6 4 5 4 6 4 4 5 6 4 4 4 4 4 4 6 4 4 4 6 4 4 5 4 4 4 6 4 4 4 6 4 4 4 6 6 6 6 6 6 6 6 6 6 6 4 4 4 6 4 4 4 6 4 4 4 4 4 4 6 4 4 4 6 4 4 5 5 4 4 6 5 4 4 6 4 5 4 Output: 4 8 4 4 4 4 4 4 8 Example 4: Input: 5 4 4 6 4 4 4 6 4 5 4 4 5 4 6 4 4 5 6 4 4 4 4 4 4 6 4 4 4 6 5 4 4 6 6 6 6 6 6 6 6 6 6 6 4 4 4 6 4 4 4 6 4 4 4 5 4 5 6 4 5 4 6 4 4 4 4 4 4 6 4 4 4 6 4 4 5 6 6 6 6 6 6 6 6 6 6 6 4 4 4 6 4 4 4 6 4 4 4 4 4 5 6 4 4 4 6 4 5 4 4 4 4 6 4 4 5 6 4 4 4 Output: 8 4 8 8 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: 5 4 4 6 4 4 5 6 4 4 4 4 4 4 6 5 4 4 6 4 5 4 5 4 4 6 4 4 4 6 4 4 4 6 6 6 6 6 6 6 6 6 6 6 4 5 4 6 4 4 4 6 4 4 4 4 4 4 6 4 5 4 6 4 4 5 4 4 4 6 4 4 5 6 4 4 4 6 6 6 6 6 6 6 6 6 6 6 4 4 4 6 4 5 4 6 5 4 4 4 5 4 6 4 4 4 6 4 4 4 4 4 4 6 4 4 4 6 4 5 4
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "8 8 4\n4 8 4\n4 4 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 5 4 6 4 4 4 6 4 4 4\n4 4 5 6 4 4 4 6 4 5 4\n4 4 4 6 4 4 5 6 4 4 4\n6 6 6 6 6 6 6 6 6 6 6\n4 4 4 6 5 4 4 6 4 4 4\n4 5 4 6 4 4 4 6 4 4 4\n4 4 4 6 4 4 4 6 4 4 5\n6 6 6 6 6 6 6 6 6 6 6\n4 4 5 6 4 4 4 6 5 4 4\n4 4 4 6 5 4 5 6 4 4 4\n4 5 4 6 4 4 4 6 4 4 4\nOutput:\n8 4 4\n4 4 4\n8 8 4\n\nExample 2:\n\nInput:\n5 4 4 6 4 4 4 6 4 4 4\n4 4 4 6 4 4 5 6 4 4 4\n4 5 4 6 4 4 4 6 4 5 4\n6 6 6 6 6 6 6 6 6 6 6\n4 4 4 6 4 5 4 6 4 4 4\n4 4 5 6 5 4 4 6 4 4 5\n4 4 4 6 4 4 4 6 4 4 4\n6 6 6 6 6 6 6 6 6 6 6\n4 5 4 6 4 4 4 6 4 5 4\n4 4 4 6 4 4 4 6 4 4 4\n4 4 4 6 4 5 4 6 4 4 4\nOutput:\n8 4 4\n4 8 4\n4 4 4\n\nExample 3:\n\nInput:\n4 5 4 6 4 4 4 6 4 4 5\n4 4 4 6 4 5 4 6 4 4 4\n4 4 4 6 4 4 5 6 4 4 4\n6 6 6 6 6 6 6 6 6 6 6\n4 5 4 6 4 4 5 6 4 4 4\n4 4 4 6 4 4 4 6 4 4 5\n4 4 4 6 4 4 4 6 4 4 4\n6 6 6 6 6 6 6 6 6 6 6\n4 4 4 6 4 4 4 6 4 4 4\n4 4 4 6 4 4 4 6 4 4 5\n5 4 4 6 5 4 4 6 4 5 4\nOutput:\n4 8 4\n4 4 4\n4 4 8\n\nExample 4:\n\nInput:\n5 4 4 6 4 4 4 6 4 5 4\n4 5 4 6 4 4 5 6 4 4 4\n4 4 4 6 4 4 4 6 5 4 4\n6 6 6 6 6 6 6 6 6 6 6\n4 4 4 6 4 4 4 6 4 4 4\n5 4 5 6 4 5 4 6 4 4 4\n4 4 4 6 4 4 4 6 4 4 5\n6 6 6 6 6 6 6 6 6 6 6\n4 4 4 6 4 4 4 6 4 4 4\n4 4 5 6 4 4 4 6 4 5 4\n4 4 4 6 4 4 5 6 4 4 4\nOutput:\n8 4 8\n8 4 4\n4 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:\n5 4 4 6 4 4 5 6 4 4 4\n4 4 4 6 5 4 4 6 4 5 4\n5 4 4 6 4 4 4 6 4 4 4\n6 6 6 6 6 6 6 6 6 6 6\n4 5 4 6 4 4 4 6 4 4 4\n4 4 4 6 4 5 4 6 4 4 5\n4 4 4 6 4 4 5 6 4 4 4\n6 6 6 6 6 6 6 6 6 6 6\n4 4 4 6 4 5 4 6 5 4 4\n4 5 4 6 4 4 4 6 4 4 4\n4 4 4 6 4 4 4 6 4 5 4\n", "answer": "8 8 4\n4 8 4\n4 4 8", "metadata": {"source_dataset": "arc_agi", "source_index": 143, "input": [[5, 4, 4, 6, 4, 4, 5, 6, 4, 4, 4], [4, 4, 4, 6, 5, 4, 4, 6, 4, 5, 4], [5, 4, 4, 6, 4, 4, 4, 6, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 5, 4, 6, 4, 4, 4, 6, 4, 4, 4], [4, 4, 4, 6, 4, 5, 4, 6, 4, 4, 5], [4, 4, 4, 6, 4, 4, 5, 6, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 6, 4, 5, 4, 6, 5, 4, 4], [4, 5, 4, 6, 4, 4, 4, 6, 4, 4, 4], [4, 4, 4, 6, 4, 4, 4, 6, 4, 5, 4]], "output": [[8, 8, 4], [4, 8, 4], [4, 4, 8]], "task_id": "6773b310", "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": 143, "input": [[5, 4, 4, 6, 4, 4, 5, 6, 4, 4, 4], [4, 4, 4, 6, 5, 4, 4, 6, 4, 5, 4], [5, 4, 4, 6, 4, 4, 4, 6, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 5, 4, 6, 4, 4, 4, 6, 4, 4, 4], [4, 4, 4, 6, 4, 5, 4, 6, 4, 4, 5], [4, 4, 4, 6, 4, 4, 5, 6, 4, 4, 4], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [4, 4, 4, 6, 4, 5, 4, 6, 5, 4, 4], [4, 5, 4, 6, 4, 4, 4, 6, 4, 4, 4], [4, 4, 4, 6, 4, 4, 4, 6, 4, 5, 4]], "output": [[8, 8, 4], [4, 8, 4], [4, 4, 8]], "task_id": "6773b310", "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 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 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 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 9 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 3 2 2 8 3 3 3 3 3 3 3 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 2 2 2 2 2 2 2 2 2 2 2 2 2 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 2 2 2 2 2 2 2 2 2 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 2 2 2 2 2 2 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 8 3 3 3 3 3 3 3 3 3 3 3 3 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 3 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 3 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 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 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 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 2 2 2 2 2 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 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 3 3 3 3 3 3 8 2 2 2 3 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 9 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: 2 2 2 2 2 2 2 2 2 2 2 2 2 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 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 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 8 3 3 3 3 3 3 3 3 2 2\n2 2 2 2 2 2 2 2 2 3 2 2\n2 2 2 2 2 2 2 2 2 3 2 2\n2 2 2 2 2 2 2 2 2 3 2 2\n2 2 2 2 2 2 2 2 2 3 2 2\n2 2 2 2 2 2 2 2 2 3 2 2\n2 2 2 2 2 2 2 2 2 3 2 2\n2 2 2 2 2 2 2 2 2 3 2 2\n2 2 2 2 2 2 2 2 2 3 2 2\n2 2 2 2 2 2 2 2 2 9 2 2\n2 2 2 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 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 9 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\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\n2 8 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\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\nOutput:\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 9 2\n2 2 2 2 2 2 2 2 2 2 3 2\n2 2 2 2 2 2 2 2 2 2 3 2\n2 2 2 2 2 2 2 2 2 2 3 2\n2 2 2 2 2 2 2 2 2 2 3 2\n2 2 2 2 2 2 2 2 2 2 3 2\n2 2 2 2 2 2 2 2 2 2 3 2\n2 8 3 3 3 3 3 3 3 3 3 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\n2 2 2 2 2 2 2 2 2 2 2 2\n\nExample 2:\n\nInput:\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 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 8 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 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 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 2 2 2 2 2 2 2 2 9 2\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 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:\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 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 8 3 3 3 3 3 3 3 3 3 3 3 3 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 3 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 3 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 3 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 3 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 3 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 9 2\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 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\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 8 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 2 2\n2 2 9 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 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 3 3 3 3 3 3 8 2\n2 2 3 2 2 2 2 2 2 2\n2 2 3 2 2 2 2 2 2 2\n2 2 3 2 2 2 2 2 2 2\n2 2 3 2 2 2 2 2 2 2\n2 2 3 2 2 2 2 2 2 2\n2 2 3 2 2 2 2 2 2 2\n2 2 3 2 2 2 2 2 2 2\n2 2 3 2 2 2 2 2 2 2\n2 2 3 2 2 2 2 2 2 2\n2 2 9 2 2 2 2 2 2 2\n2 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:\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\n2 8 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\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\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\n2 2 2 2 2 2 2 2 2 9 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n", "answer": "2 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\n2 8 3 3 3 3 3 3 3 3 2 2\n2 2 2 2 2 2 2 2 2 3 2 2\n2 2 2 2 2 2 2 2 2 3 2 2\n2 2 2 2 2 2 2 2 2 3 2 2\n2 2 2 2 2 2 2 2 2 3 2 2\n2 2 2 2 2 2 2 2 2 3 2 2\n2 2 2 2 2 2 2 2 2 3 2 2\n2 2 2 2 2 2 2 2 2 3 2 2\n2 2 2 2 2 2 2 2 2 3 2 2\n2 2 2 2 2 2 2 2 2 9 2 2\n2 2 2 2 2 2 2 2 2 2 2 2", "metadata": {"source_dataset": "arc_agi", "source_index": 144, "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, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 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, 8, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "task_id": "a2fd1cf0", "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": 144, "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, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 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, 8, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "task_id": "a2fd1cf0", "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 3 6 6 3 6 Output: 6 6 6 6 3 6 6 3 6 6 3 6 6 3 6 6 6 6 Example 2: Input: 6 3 6 6 6 6 6 6 6 Output: 6 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 3 6 Example 3: Input: 6 6 6 3 6 3 6 3 3 Output: 6 6 6 3 6 3 6 3 3 6 3 3 3 6 3 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: 3 6 6 3 3 6 6 6 3
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "3 6 6\n3 3 6\n6 6 3\n6 6 3\n3 3 6\n3 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\n6 3 6\n6 3 6\nOutput:\n6 6 6\n6 3 6\n6 3 6\n6 3 6\n6 3 6\n6 6 6\n\nExample 2:\n\nInput:\n6 3 6\n6 6 6\n6 6 6\nOutput:\n6 3 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 3 6\n\nExample 3:\n\nInput:\n6 6 6\n3 6 3\n6 3 3\nOutput:\n6 6 6\n3 6 3\n6 3 3\n6 3 3\n3 6 3\n6 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:\n3 6 6\n3 3 6\n6 6 3\n", "answer": "3 6 6\n3 3 6\n6 6 3\n6 6 3\n3 3 6\n3 6 6", "metadata": {"source_dataset": "arc_agi", "source_index": 145, "input": [[3, 6, 6], [3, 3, 6], [6, 6, 3]], "output": [[3, 6, 6], [3, 3, 6], [6, 6, 3], [6, 6, 3], [3, 3, 6], [3, 6, 6]], "task_id": "c9e6f938", "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": 145, "input": [[3, 6, 6], [3, 3, 6], [6, 6, 3]], "output": [[3, 6, 6], [3, 3, 6], [6, 6, 3], [6, 6, 3], [3, 3, 6], [3, 6, 6]], "task_id": "c9e6f938", "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 3 3 7 4 4 4 4 4 5 5 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 Output: 4 4 4 4 4 4 0 4 4 4 4 4 4 4 5 5 4 4 4 4 4 7 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 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 0 7 4 4 4 4 4 4 3 3 4 4 4 4 4 4 5 1 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 1 5 4 4 4 4 4 4 3 3 4 4 4 4 4 4 7 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 4 4 Example 3: Input: 8 4 4 0 7 4 0 5 4 Output: 4 5 0 4 7 0 4 4 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 6 4 4 4 7 4 4 4 4 4 3 3 0 4 4 4 4 4 4 3 0 0 4 4 4 4 4 5 4 4 4 4 4 4 4 4
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "4 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 5\n4 4 4 4 4 0 0 3 4\n4 4 4 4 4 0 3 3 4\n4 4 4 4 7 4 4 4 6\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", "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\n4 4 4 4 4 4 4 4 4\n4 3 3 7 4 4 4 4 4\n5 5 4 4 4 4 4 4 4\n0 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 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\nOutput:\n4 4 4 4 4 4 0 4 4\n4 4 4 4 4 5 5 4 4\n4 4 4 7 3 3 4 4 4\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 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\n\nExample 2:\n\nInput:\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 3 0 7 4 4 4 4\n4 4 3 3 4 4 4 4 4\n4 5 1 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\nOutput:\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 1 5 4\n4 4 4 4 4 3 3 4 4\n4 4 4 4 7 0 3 4 4\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\n\nExample 3:\n\nInput:\n8 4 4\n0 7 4\n0 5 4\nOutput:\n4 5 0\n4 7 0\n4 4 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\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 4 4 4 4 4 4 4\n6 4 4 4 7 4 4 4 4\n4 3 3 0 4 4 4 4 4\n4 3 0 0 4 4 4 4 4\n5 4 4 4 4 4 4 4 4\n", "answer": "4 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 5\n4 4 4 4 4 0 0 3 4\n4 4 4 4 4 0 3 3 4\n4 4 4 4 7 4 4 4 6\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", "metadata": {"source_dataset": "arc_agi", "source_index": 146, "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], [6, 4, 4, 4, 7, 4, 4, 4, 4], [4, 3, 3, 0, 4, 4, 4, 4, 4], [4, 3, 0, 0, 4, 4, 4, 4, 4], [5, 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, 5], [4, 4, 4, 4, 4, 0, 0, 3, 4], [4, 4, 4, 4, 4, 0, 3, 3, 4], [4, 4, 4, 4, 7, 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]], "task_id": "90347967", "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": 146, "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], [6, 4, 4, 4, 7, 4, 4, 4, 4], [4, 3, 3, 0, 4, 4, 4, 4, 4], [4, 3, 0, 0, 4, 4, 4, 4, 4], [5, 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, 5], [4, 4, 4, 4, 4, 0, 0, 3, 4], [4, 4, 4, 4, 4, 0, 3, 3, 4], [4, 4, 4, 4, 7, 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]], "task_id": "90347967", "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 7 9 9 9 6 9 6 9 9 9 9 9 1 9 9 9 7 7 7 9 9 6 6 9 9 9 9 9 1 1 9 9 9 7 7 9 9 9 6 9 6 9 9 9 9 1 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 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 8 8 8 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 9 9 9 9 9 9 9 9 9 9 9 0 0 0 0 0 0 0 9 9 9 9 9 9 9 9 9 9 0 6 0 0 0 1 0 9 9 9 9 9 9 4 4 9 9 0 0 0 0 0 0 0 9 9 9 9 9 4 9 4 9 9 0 0 0 0 0 0 0 9 9 9 9 9 9 4 9 9 9 0 0 0 0 0 0 0 9 9 9 9 9 9 9 9 9 9 0 4 0 0 0 7 0 9 9 9 9 9 9 9 9 9 9 0 0 0 0 0 0 0 Output: 6 9 6 9 9 1 9 6 6 9 9 1 1 9 6 9 6 9 1 1 1 9 9 9 9 9 9 9 9 4 4 9 9 7 9 4 9 4 9 7 7 7 9 4 9 9 7 7 9 Example 2: Input: 9 9 9 9 9 9 9 9 9 9 9 0 0 0 0 0 0 0 9 5 9 9 9 9 9 9 9 9 9 0 1 0 0 0 5 0 9 5 5 9 9 9 9 4 9 9 9 0 0 0 0 0 0 0 5 9 9 9 9 9 4 9 9 9 9 0 0 0 0 0 0 0 9 9 9 9 9 4 4 4 9 9 9 0 0 0 0 0 0 0 9 9 9 9 9 9 9 9 9 9 9 0 4 0 0 0 7 0 9 9 9 9 9 9 9 9 9 9 9 0 0 0 0 0 0 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 1 1 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 1 9 1 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 1 1 9 9 9 9 9 7 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 9 9 9 9 9 7 9 7 9 9 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 6 6 6 9 9 9 9 9 9 9 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 Output: 1 1 9 9 9 5 9 1 9 1 9 9 5 5 1 1 9 9 5 9 9 9 9 9 9 9 9 9 9 9 4 9 7 9 9 9 4 9 9 7 7 9 4 4 4 9 7 9 7 Example 3: Input: 0 0 0 0 0 0 0 9 9 9 9 9 9 9 9 9 9 0 4 0 0 0 7 0 9 9 9 9 9 9 9 9 9 9 0 0 0 0 0 0 0 9 9 9 9 9 9 7 9 9 9 0 0 0 0 0 0 0 9 9 9 9 9 7 7 7 9 9 0 0 0 0 0 0 0 9 9 9 9 9 9 7 9 9 9 0 1 0 0 0 8 0 9 9 9 9 9 9 9 9 9 9 0 0 0 0 0 0 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 1 1 9 9 9 9 9 9 9 9 9 4 4 9 9 9 1 9 1 9 9 9 8 9 9 9 9 4 4 9 9 9 9 9 1 9 9 9 8 9 8 9 9 9 9 9 4 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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 9 4 4 9 9 7 9 4 4 9 9 7 7 7 9 9 4 9 9 7 9 9 9 9 9 9 9 9 9 1 1 9 9 8 9 1 9 1 9 8 9 8 9 1 9 9 9 8 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 9 9 9 9 9 9 9 9 9 0 8 0 0 0 1 0 9 9 9 6 9 9 9 9 9 0 0 0 0 0 0 0 9 9 6 6 6 9 9 9 9 0 0 0 0 0 0 0 9 9 6 9 6 9 9 9 9 0 0 0 0 0 0 0 9 9 9 9 9 9 9 9 9 0 6 0 0 0 4 0 9 9 9 9 9 9 9 9 9 0 0 0 0 0 0 0 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 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 4 9 4 9 9 9 9 9 9 9 9 9 9 9 9 9 4 4 4 9 9 9 9 9 9 9 9 9 9 9 9 9 4 9 4 9 9 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 9 7 9 9 1 9 9 9 9 9 9 9 9 9 9 9 7 9 9 9 1 1 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 9 9 9 9 9 9 9 9 9
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "9 8 9 9 9 1 9\n9 8 8 9 9 1 1\n8 8 8 9 1 9 9\n9 9 9 9 9 9 9\n9 6 9 9 4 9 4\n6 6 6 9 4 4 4\n6 9 6 9 4 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:\n9 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\n9 9 7 9 9 9 6 9 6 9 9 9 9 9 1 9 9\n9 7 7 7 9 9 6 6 9 9 9 9 9 1 1 9 9\n9 7 7 9 9 9 6 9 6 9 9 9 9 1 1 1 9\n9 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\n9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 0 0 0 0 0 0 0\n9 9 9 9 9 9 9 9 9 9 0 6 0 0 0 1 0\n9 9 9 9 9 9 4 4 9 9 0 0 0 0 0 0 0\n9 9 9 9 9 4 9 4 9 9 0 0 0 0 0 0 0\n9 9 9 9 9 9 4 9 9 9 0 0 0 0 0 0 0\n9 9 9 9 9 9 9 9 9 9 0 4 0 0 0 7 0\n9 9 9 9 9 9 9 9 9 9 0 0 0 0 0 0 0\nOutput:\n6 9 6 9 9 1 9\n6 6 9 9 1 1 9\n6 9 6 9 1 1 1\n9 9 9 9 9 9 9\n9 4 4 9 9 7 9\n4 9 4 9 7 7 7\n9 4 9 9 7 7 9\n\nExample 2:\n\nInput:\n9 9 9 9 9 9 9 9 9 9 9 0 0 0 0 0 0 0\n9 5 9 9 9 9 9 9 9 9 9 0 1 0 0 0 5 0\n9 5 5 9 9 9 9 4 9 9 9 0 0 0 0 0 0 0\n5 9 9 9 9 9 4 9 9 9 9 0 0 0 0 0 0 0\n9 9 9 9 9 4 4 4 9 9 9 0 0 0 0 0 0 0\n9 9 9 9 9 9 9 9 9 9 9 0 4 0 0 0 7 0\n9 9 9 9 9 9 9 9 9 9 9 0 0 0 0 0 0 0\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 8 8 9 9 1 1 9 9 9 9 9 9 9 9 9 9\n9 9 8 8 8 9 1 9 1 9 9 9 9 9 9 9 9 9\n9 9 8 8 9 9 1 1 9 9 9 9 9 7 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 7 7 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 7 9 7 9 9\n9 9 9 9 9 9 9 9 9 6 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 6 6 6 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 6 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\nOutput:\n1 1 9 9 9 5 9\n1 9 1 9 9 5 5\n1 1 9 9 5 9 9\n9 9 9 9 9 9 9\n9 9 4 9 7 9 9\n9 4 9 9 7 7 9\n4 4 4 9 7 9 7\n\nExample 3:\n\nInput:\n0 0 0 0 0 0 0 9 9 9 9 9 9 9 9 9 9\n0 4 0 0 0 7 0 9 9 9 9 9 9 9 9 9 9\n0 0 0 0 0 0 0 9 9 9 9 9 9 7 9 9 9\n0 0 0 0 0 0 0 9 9 9 9 9 7 7 7 9 9\n0 0 0 0 0 0 0 9 9 9 9 9 9 7 9 9 9\n0 1 0 0 0 8 0 9 9 9 9 9 9 9 9 9 9\n0 0 0 0 0 0 0 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 1 1\n9 9 9 9 9 9 9 9 9 4 4 9 9 9 1 9 1\n9 9 9 8 9 9 9 9 4 4 9 9 9 9 9 1 9\n9 9 8 9 8 9 9 9 9 9 4 9 9 9 9 9 9\n9 9 9 8 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\nOutput:\n9 4 4 9 9 7 9\n4 4 9 9 7 7 7\n9 9 4 9 9 7 9\n9 9 9 9 9 9 9\n9 1 1 9 9 8 9\n1 9 1 9 8 9 8\n9 1 9 9 9 8 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 9 9 9 9 9 9 9 9 9\n0 8 0 0 0 1 0 9 9 9 6 9 9 9 9 9\n0 0 0 0 0 0 0 9 9 6 6 6 9 9 9 9\n0 0 0 0 0 0 0 9 9 6 9 6 9 9 9 9\n0 0 0 0 0 0 0 9 9 9 9 9 9 9 9 9\n0 6 0 0 0 4 0 9 9 9 9 9 9 9 9 9\n0 0 0 0 0 0 0 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9\n9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9\n9 9 9 4 9 4 9 9 9 9 9 9 9 9 9 9\n9 9 9 4 4 4 9 9 9 9 9 9 9 9 9 9\n9 9 9 4 9 4 9 9 7 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 7 9 7 9 9 1 9 9 9\n9 9 9 9 9 9 9 9 7 9 9 9 1 1 9 9\n9 9 9 9 9 9 9 9 9 9 9 1 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n", "answer": "9 8 9 9 9 1 9\n9 8 8 9 9 1 1\n8 8 8 9 1 9 9\n9 9 9 9 9 9 9\n9 6 9 9 4 9 4\n6 6 6 9 4 4 4\n6 9 6 9 4 9 4", "metadata": {"source_dataset": "arc_agi", "source_index": 147, "input": [[0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 8, 0, 0, 0, 1, 0, 9, 9, 9, 6, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 9, 9, 6, 6, 6, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 9, 9, 6, 9, 6, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 6, 0, 0, 0, 4, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 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, 9, 9, 9, 9, 8, 8, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 9, 9], [9, 9, 9, 4, 9, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 4, 9, 4, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 7, 9, 7, 9, 9, 1, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 1, 1, 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, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[9, 8, 9, 9, 9, 1, 9], [9, 8, 8, 9, 9, 1, 1], [8, 8, 8, 9, 1, 9, 9], [9, 9, 9, 9, 9, 9, 9], [9, 6, 9, 9, 4, 9, 4], [6, 6, 6, 9, 4, 4, 4], [6, 9, 6, 9, 4, 9, 4]], "task_id": "7d18a6fb", "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": 147, "input": [[0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 8, 0, 0, 0, 1, 0, 9, 9, 9, 6, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 9, 9, 6, 6, 6, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 9, 9, 6, 9, 6, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 6, 0, 0, 0, 4, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 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, 9, 9, 9, 9, 8, 8, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 9, 9], [9, 9, 9, 4, 9, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 4, 9, 4, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 7, 9, 7, 9, 9, 1, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 1, 1, 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, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[9, 8, 9, 9, 9, 1, 9], [9, 8, 8, 9, 9, 1, 1], [8, 8, 8, 9, 1, 9, 9], [9, 9, 9, 9, 9, 9, 9], [9, 6, 9, 9, 4, 9, 4], [6, 6, 6, 9, 4, 4, 4], [6, 9, 6, 9, 4, 9, 4]], "task_id": "7d18a6fb", "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 4 0 1 4 1 0 1 1 1 4 1 1 0 1 1 1 0 1 1 4 1 1 1 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 1 1 4 1 1 1 0 4 1 1 0 1 1 4 1 4 1 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 1 1 1 4 1 1 0 4 1 1 0 1 1 4 1 1 1 0 1 1 1 0 1 1 1 Output: 4 4 4 0 1 1 1 0 1 1 1 4 4 4 0 1 1 1 0 1 1 1 4 4 4 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 4 4 4 1 1 1 0 1 1 1 0 4 4 4 1 1 1 0 1 1 1 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 1 Example 2: Input: 1 1 1 0 1 1 1 0 1 2 2 1 2 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 2 1 0 1 2 1 1 1 1 0 1 1 2 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 1 1 1 1 2 2 0 1 1 2 0 1 2 1 2 1 1 0 1 1 1 0 1 1 1 Output: 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 1 1 1 0 1 1 1 2 2 2 0 1 1 1 0 1 1 1 2 2 2 0 1 1 1 0 1 1 1 Example 3: Input: 1 1 1 0 1 1 1 0 1 1 1 1 5 1 0 1 1 1 0 1 1 5 1 1 1 0 5 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 5 1 1 0 1 1 1 1 5 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 5 0 1 1 1 0 1 1 1 5 1 1 0 1 1 1 0 1 5 1 1 1 1 0 1 1 1 0 1 1 1 Output: 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 5 5 5 0 1 1 1 0 1 1 1 5 5 5 0 1 1 1 0 1 1 1 5 5 5 0 1 1 1 0 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 0 1 1 1 0 1 9 9 1 9 9 0 9 1 1 0 1 9 1 1 9 1 0 1 1 1 0 1 1 9 0 0 0 0 0 0 0 0 0 0 0 1 9 1 0 1 1 1 0 1 1 1 9 1 9 0 1 9 1 0 1 1 9 1 1 1 0 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 9 1 1 0 1 9 1 0 1 1 1 1 9 1 0 9 1 1 0 1 1 9 1 1 1 0 1 9 9 0 1 1 1
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 1 1 0 1 1 1 0 9 9 9\n1 1 1 0 1 1 1 0 9 9 9\n1 1 1 0 1 1 1 0 9 9 9\n0 0 0 0 0 0 0 0 0 0 0\n1 1 1 0 1 1 1 0 1 1 1\n1 1 1 0 1 1 1 0 1 1 1\n1 1 1 0 1 1 1 0 1 1 1\n0 0 0 0 0 0 0 0 0 0 0\n1 1 1 0 9 9 9 0 1 1 1\n1 1 1 0 9 9 9 0 1 1 1\n1 1 1 0 9 9 9 0 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 4 0 1 4 1 0 1 1 1\n4 1 1 0 1 1 1 0 1 1 4\n1 1 1 0 1 1 1 0 1 1 1\n0 0 0 0 0 0 0 0 0 0 0\n1 1 1 0 1 1 1 0 1 1 4\n1 1 1 0 4 1 1 0 1 1 4\n1 4 1 0 1 1 1 0 1 1 1\n0 0 0 0 0 0 0 0 0 0 0\n1 1 1 0 1 1 1 0 1 1 1\n4 1 1 0 4 1 1 0 1 1 4\n1 1 1 0 1 1 1 0 1 1 1\nOutput:\n4 4 4 0 1 1 1 0 1 1 1\n4 4 4 0 1 1 1 0 1 1 1\n4 4 4 0 1 1 1 0 1 1 1\n0 0 0 0 0 0 0 0 0 0 0\n1 1 1 0 1 1 1 0 4 4 4\n1 1 1 0 1 1 1 0 4 4 4\n1 1 1 0 1 1 1 0 4 4 4\n0 0 0 0 0 0 0 0 0 0 0\n1 1 1 0 1 1 1 0 1 1 1\n1 1 1 0 1 1 1 0 1 1 1\n1 1 1 0 1 1 1 0 1 1 1\n\nExample 2:\n\nInput:\n1 1 1 0 1 1 1 0 1 2 2\n1 2 1 0 1 1 1 0 1 1 1\n1 1 1 0 1 1 1 0 1 1 1\n0 0 0 0 0 0 0 0 0 0 0\n1 1 1 0 1 1 1 0 1 1 1\n1 1 1 0 1 2 1 0 1 2 1\n1 1 1 0 1 1 2 0 1 1 1\n0 0 0 0 0 0 0 0 0 0 0\n1 1 1 0 1 1 1 0 1 1 1\n1 2 2 0 1 1 2 0 1 2 1\n2 1 1 0 1 1 1 0 1 1 1\nOutput:\n1 1 1 0 1 1 1 0 1 1 1\n1 1 1 0 1 1 1 0 1 1 1\n1 1 1 0 1 1 1 0 1 1 1\n0 0 0 0 0 0 0 0 0 0 0\n1 1 1 0 1 1 1 0 1 1 1\n1 1 1 0 1 1 1 0 1 1 1\n1 1 1 0 1 1 1 0 1 1 1\n0 0 0 0 0 0 0 0 0 0 0\n2 2 2 0 1 1 1 0 1 1 1\n2 2 2 0 1 1 1 0 1 1 1\n2 2 2 0 1 1 1 0 1 1 1\n\nExample 3:\n\nInput:\n1 1 1 0 1 1 1 0 1 1 1\n1 5 1 0 1 1 1 0 1 1 5\n1 1 1 0 5 1 1 0 1 1 1\n0 0 0 0 0 0 0 0 0 0 0\n1 1 1 0 5 1 1 0 1 1 1\n1 5 1 0 1 1 1 0 1 1 1\n1 1 1 0 1 1 1 0 1 1 1\n0 0 0 0 0 0 0 0 0 0 0\n1 1 5 0 1 1 1 0 1 1 1\n5 1 1 0 1 1 1 0 1 5 1\n1 1 1 0 1 1 1 0 1 1 1\nOutput:\n1 1 1 0 1 1 1 0 1 1 1\n1 1 1 0 1 1 1 0 1 1 1\n1 1 1 0 1 1 1 0 1 1 1\n0 0 0 0 0 0 0 0 0 0 0\n1 1 1 0 1 1 1 0 1 1 1\n1 1 1 0 1 1 1 0 1 1 1\n1 1 1 0 1 1 1 0 1 1 1\n0 0 0 0 0 0 0 0 0 0 0\n5 5 5 0 1 1 1 0 1 1 1\n5 5 5 0 1 1 1 0 1 1 1\n5 5 5 0 1 1 1 0 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 0 1 1 1 0 1 9 9\n1 9 9 0 9 1 1 0 1 9 1\n1 9 1 0 1 1 1 0 1 1 9\n0 0 0 0 0 0 0 0 0 0 0\n1 9 1 0 1 1 1 0 1 1 1\n9 1 9 0 1 9 1 0 1 1 9\n1 1 1 0 1 1 1 0 1 1 1\n0 0 0 0 0 0 0 0 0 0 0\n9 1 1 0 1 9 1 0 1 1 1\n1 9 1 0 9 1 1 0 1 1 9\n1 1 1 0 1 9 9 0 1 1 1\n", "answer": "1 1 1 0 1 1 1 0 9 9 9\n1 1 1 0 1 1 1 0 9 9 9\n1 1 1 0 1 1 1 0 9 9 9\n0 0 0 0 0 0 0 0 0 0 0\n1 1 1 0 1 1 1 0 1 1 1\n1 1 1 0 1 1 1 0 1 1 1\n1 1 1 0 1 1 1 0 1 1 1\n0 0 0 0 0 0 0 0 0 0 0\n1 1 1 0 9 9 9 0 1 1 1\n1 1 1 0 9 9 9 0 1 1 1\n1 1 1 0 9 9 9 0 1 1 1", "metadata": {"source_dataset": "arc_agi", "source_index": 148, "input": [[1, 1, 1, 0, 1, 1, 1, 0, 1, 9, 9], [1, 9, 9, 0, 9, 1, 1, 0, 1, 9, 1], [1, 9, 1, 0, 1, 1, 1, 0, 1, 1, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 9, 1, 0, 1, 1, 1, 0, 1, 1, 1], [9, 1, 9, 0, 1, 9, 1, 0, 1, 1, 9], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 1, 1, 0, 1, 9, 1, 0, 1, 1, 1], [1, 9, 1, 0, 9, 1, 1, 0, 1, 1, 9], [1, 1, 1, 0, 1, 9, 9, 0, 1, 1, 1]], "output": [[1, 1, 1, 0, 1, 1, 1, 0, 9, 9, 9], [1, 1, 1, 0, 1, 1, 1, 0, 9, 9, 9], [1, 1, 1, 0, 1, 1, 1, 0, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 0, 9, 9, 9, 0, 1, 1, 1], [1, 1, 1, 0, 9, 9, 9, 0, 1, 1, 1], [1, 1, 1, 0, 9, 9, 9, 0, 1, 1, 1]], "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": 148, "input": [[1, 1, 1, 0, 1, 1, 1, 0, 1, 9, 9], [1, 9, 9, 0, 9, 1, 1, 0, 1, 9, 1], [1, 9, 1, 0, 1, 1, 1, 0, 1, 1, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 9, 1, 0, 1, 1, 1, 0, 1, 1, 1], [9, 1, 9, 0, 1, 9, 1, 0, 1, 1, 9], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 1, 1, 0, 1, 9, 1, 0, 1, 1, 1], [1, 9, 1, 0, 9, 1, 1, 0, 1, 1, 9], [1, 1, 1, 0, 1, 9, 9, 0, 1, 1, 1]], "output": [[1, 1, 1, 0, 1, 1, 1, 0, 9, 9, 9], [1, 1, 1, 0, 1, 1, 1, 0, 9, 9, 9], [1, 1, 1, 0, 1, 1, 1, 0, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1], [1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 1, 1, 0, 9, 9, 9, 0, 1, 1, 1], [1, 1, 1, 0, 9, 9, 9, 0, 1, 1, 1], [1, 1, 1, 0, 9, 9, 9, 0, 1, 1, 1]], "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: 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 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 3 3 3 3 3 3 1 1 1 1 3 1 1 1 1 3 1 1 1 1 3 1 1 1 1 3 1 1 1 1 3 3 3 3 3 3 1 1 1 1 1 1 1 1 1 1 1 1 Output: 3 3 3 3 Example 2: Input: 1 1 1 6 6 6 6 6 6 1 1 1 1 6 1 1 1 1 6 1 1 1 1 6 1 1 1 1 6 1 1 1 1 6 1 1 1 1 6 1 1 1 1 6 1 1 1 1 6 1 1 1 1 6 1 1 1 1 6 1 1 1 1 6 6 6 6 6 6 1 4 4 4 1 1 1 1 1 1 1 4 1 4 1 1 1 1 1 1 1 4 4 4 1 1 1 1 1 1 1 Output: 6 6 6 6 Example 3: Input: 1 1 1 1 1 3 3 3 3 1 1 1 1 1 1 3 1 1 3 1 1 1 1 1 1 3 1 1 3 1 1 1 1 1 1 3 3 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 7 7 7 7 7 1 1 1 1 1 7 1 1 1 7 1 1 1 1 1 7 1 1 1 7 1 1 1 1 1 7 7 7 7 7 1 1 1 1 1 1 1 1 1 1 1 1 1 Output: 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: 2 2 2 2 1 0 0 0 0 0 2 1 1 2 1 0 1 1 1 0 2 1 1 2 1 0 1 1 1 0 2 1 1 2 1 0 1 1 1 0 2 1 1 2 1 0 1 1 1 0 2 1 1 2 1 0 1 1 1 0 2 1 1 2 1 0 1 1 1 0 2 1 1 2 1 0 1 1 1 0 2 1 1 2 1 0 0 0 0 0 2 2 2 2 1 1 1 1 1 1
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "0 0\n0 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 1 1 5 5 5 5 5\n1 1 1 1 1 5 1 1 1 5\n1 1 1 1 1 5 1 1 1 5\n1 1 1 1 1 5 5 5 5 5\n1 1 1 1 1 1 1 1 1 1\n1 1 3 3 3 3 3 3 1 1\n1 1 3 1 1 1 1 3 1 1\n1 1 3 1 1 1 1 3 1 1\n1 1 3 3 3 3 3 3 1 1\n1 1 1 1 1 1 1 1 1 1\nOutput:\n3 3\n3 3\n\nExample 2:\n\nInput:\n1 1 1 6 6 6 6 6 6 1\n1 1 1 6 1 1 1 1 6 1\n1 1 1 6 1 1 1 1 6 1\n1 1 1 6 1 1 1 1 6 1\n1 1 1 6 1 1 1 1 6 1\n1 1 1 6 1 1 1 1 6 1\n1 1 1 6 6 6 6 6 6 1\n4 4 4 1 1 1 1 1 1 1\n4 1 4 1 1 1 1 1 1 1\n4 4 4 1 1 1 1 1 1 1\nOutput:\n6 6\n6 6\n\nExample 3:\n\nInput:\n1 1 1 1 1 3 3 3 3 1\n1 1 1 1 1 3 1 1 3 1\n1 1 1 1 1 3 1 1 3 1\n1 1 1 1 1 3 3 3 3 1\n1 1 1 1 1 1 1 1 1 1\n1 1 7 7 7 7 7 1 1 1\n1 1 7 1 1 1 7 1 1 1\n1 1 7 1 1 1 7 1 1 1\n1 1 7 7 7 7 7 1 1 1\n1 1 1 1 1 1 1 1 1 1\nOutput:\n7 7\n7 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:\n2 2 2 2 1 0 0 0 0 0\n2 1 1 2 1 0 1 1 1 0\n2 1 1 2 1 0 1 1 1 0\n2 1 1 2 1 0 1 1 1 0\n2 1 1 2 1 0 1 1 1 0\n2 1 1 2 1 0 1 1 1 0\n2 1 1 2 1 0 1 1 1 0\n2 1 1 2 1 0 1 1 1 0\n2 1 1 2 1 0 0 0 0 0\n2 2 2 2 1 1 1 1 1 1\n", "answer": "0 0\n0 0", "metadata": {"source_dataset": "arc_agi", "source_index": 149, "input": [[2, 2, 2, 2, 1, 0, 0, 0, 0, 0], [2, 1, 1, 2, 1, 0, 1, 1, 1, 0], [2, 1, 1, 2, 1, 0, 1, 1, 1, 0], [2, 1, 1, 2, 1, 0, 1, 1, 1, 0], [2, 1, 1, 2, 1, 0, 1, 1, 1, 0], [2, 1, 1, 2, 1, 0, 1, 1, 1, 0], [2, 1, 1, 2, 1, 0, 1, 1, 1, 0], [2, 1, 1, 2, 1, 0, 1, 1, 1, 0], [2, 1, 1, 2, 1, 0, 0, 0, 0, 0], [2, 2, 2, 2, 1, 1, 1, 1, 1, 1]], "output": [[0, 0], [0, 0]], "task_id": "445eab21", "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": 149, "input": [[2, 2, 2, 2, 1, 0, 0, 0, 0, 0], [2, 1, 1, 2, 1, 0, 1, 1, 1, 0], [2, 1, 1, 2, 1, 0, 1, 1, 1, 0], [2, 1, 1, 2, 1, 0, 1, 1, 1, 0], [2, 1, 1, 2, 1, 0, 1, 1, 1, 0], [2, 1, 1, 2, 1, 0, 1, 1, 1, 0], [2, 1, 1, 2, 1, 0, 1, 1, 1, 0], [2, 1, 1, 2, 1, 0, 1, 1, 1, 0], [2, 1, 1, 2, 1, 0, 0, 0, 0, 0], [2, 2, 2, 2, 1, 1, 1, 1, 1, 1]], "output": [[0, 0], [0, 0]], "task_id": "445eab21", "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 2 2 2 2 2 2 6 6 6 6 2 8 8 8 8 2 6 6 6 6 2 5 8 5 5 2 2 2 2 2 2 5 5 5 8 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 2 2 2 2 2 2 6 6 6 6 2 2 2 2 2 2 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 Output: 8 8 8 8 2 2 2 2 2 2 5 8 5 5 2 8 8 8 8 2 5 5 5 8 2 5 8 5 5 2 2 2 2 2 2 5 5 5 8 2 2 2 2 2 2 2 2 2 2 2 2 2 8 8 8 8 2 2 2 2 2 2 5 8 5 5 2 2 2 2 2 2 5 5 5 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 Example 2: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 2 2 2 2 2 2 2 4 4 3 2 2 2 2 2 2 2 4 4 4 2 2 6 6 6 2 2 2 2 2 2 2 6 6 6 2 2 2 2 2 2 2 6 6 6 2 2 2 2 2 2 2 2 2 2 2 6 6 6 2 2 2 2 2 2 2 6 6 6 2 2 2 2 2 2 2 6 6 6 2 2 Output: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 2 2 2 2 2 2 2 4 4 3 2 2 2 2 2 2 2 4 4 4 2 2 3 3 3 2 2 2 2 2 2 2 4 4 3 2 2 2 2 2 2 2 4 4 4 2 2 2 2 2 2 2 2 2 2 2 3 3 3 2 2 2 2 2 2 2 4 4 3 2 2 2 2 2 2 2 4 4 4 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 4 4 4 2 2 6 6 6 2 2 4 4 1 2 2 6 6 6 2 2 1 4 1 2 2 6 6 6 2 2 1 1 1 2 2 6 6 6 2 2 2 2 2 2 2 2 2 2 2 6 6 6 2 2 6 6 6 2 2 6 6 6 2 2 6 6 6 2 2 6 6 6 2 2 6 6 6 2 2 6 6 6 2 2 6 6 6 2 2 2 2 2 2 2
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 2 2 2 2 2 4 4 4 2\n2 4 4 4 2 2 4 4 1 2\n2 4 4 1 2 2 1 4 1 2\n2 1 4 1 2 2 1 1 1 2\n2 1 1 1 2 2 2 2 2 2\n2 2 2 2 2 4 4 4 2 2\n4 4 4 2 2 4 4 1 2 2\n4 4 1 2 2 1 4 1 2 2\n1 4 1 2 2 1 1 1 2 2\n1 1 1 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:\n6 6 6 6 2 2 2 2 2 2\n6 6 6 6 2 8 8 8 8 2\n6 6 6 6 2 5 8 5 5 2\n2 2 2 2 2 5 5 5 8 2\n2 2 2 2 2 2 2 2 2 2\n2 2 6 6 6 6 2 2 2 2\n2 2 6 6 6 6 2 2 2 2\n2 2 6 6 6 6 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\nOutput:\n8 8 8 8 2 2 2 2 2 2\n5 8 5 5 2 8 8 8 8 2\n5 5 5 8 2 5 8 5 5 2\n2 2 2 2 2 5 5 5 8 2\n2 2 2 2 2 2 2 2 2 2\n2 2 8 8 8 8 2 2 2 2\n2 2 5 8 5 5 2 2 2 2\n2 2 5 5 5 8 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 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 3 3 3 2\n2 2 2 2 2 2 4 4 3 2\n2 2 2 2 2 2 4 4 4 2\n2 6 6 6 2 2 2 2 2 2\n2 6 6 6 2 2 2 2 2 2\n2 6 6 6 2 2 2 2 2 2\n2 2 2 2 2 6 6 6 2 2\n2 2 2 2 2 6 6 6 2 2\n2 2 2 2 2 6 6 6 2 2\nOutput:\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 3 3 3 2\n2 2 2 2 2 2 4 4 3 2\n2 2 2 2 2 2 4 4 4 2\n2 3 3 3 2 2 2 2 2 2\n2 4 4 3 2 2 2 2 2 2\n2 4 4 4 2 2 2 2 2 2\n2 2 2 2 2 3 3 3 2 2\n2 2 2 2 2 4 4 3 2 2\n2 2 2 2 2 4 4 4 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 4 4 4 2\n2 6 6 6 2 2 4 4 1 2\n2 6 6 6 2 2 1 4 1 2\n2 6 6 6 2 2 1 1 1 2\n2 6 6 6 2 2 2 2 2 2\n2 2 2 2 2 6 6 6 2 2\n6 6 6 2 2 6 6 6 2 2\n6 6 6 2 2 6 6 6 2 2\n6 6 6 2 2 6 6 6 2 2\n6 6 6 2 2 2 2 2 2 2\n", "answer": "2 2 2 2 2 2 4 4 4 2\n2 4 4 4 2 2 4 4 1 2\n2 4 4 1 2 2 1 4 1 2\n2 1 4 1 2 2 1 1 1 2\n2 1 1 1 2 2 2 2 2 2\n2 2 2 2 2 4 4 4 2 2\n4 4 4 2 2 4 4 1 2 2\n4 4 1 2 2 1 4 1 2 2\n1 4 1 2 2 1 1 1 2 2\n1 1 1 2 2 2 2 2 2 2", "metadata": {"source_dataset": "arc_agi", "source_index": 150, "input": [[2, 2, 2, 2, 2, 2, 4, 4, 4, 2], [2, 6, 6, 6, 2, 2, 4, 4, 1, 2], [2, 6, 6, 6, 2, 2, 1, 4, 1, 2], [2, 6, 6, 6, 2, 2, 1, 1, 1, 2], [2, 6, 6, 6, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 6, 6, 6, 2, 2], [6, 6, 6, 2, 2, 6, 6, 6, 2, 2], [6, 6, 6, 2, 2, 6, 6, 6, 2, 2], [6, 6, 6, 2, 2, 6, 6, 6, 2, 2], [6, 6, 6, 2, 2, 2, 2, 2, 2, 2]], "output": [[2, 2, 2, 2, 2, 2, 4, 4, 4, 2], [2, 4, 4, 4, 2, 2, 4, 4, 1, 2], [2, 4, 4, 1, 2, 2, 1, 4, 1, 2], [2, 1, 4, 1, 2, 2, 1, 1, 1, 2], [2, 1, 1, 1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 4, 4, 4, 2, 2], [4, 4, 4, 2, 2, 4, 4, 1, 2, 2], [4, 4, 1, 2, 2, 1, 4, 1, 2, 2], [1, 4, 1, 2, 2, 1, 1, 1, 2, 2], [1, 1, 1, 2, 2, 2, 2, 2, 2, 2]], "task_id": "e76a88a6", "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": 150, "input": [[2, 2, 2, 2, 2, 2, 4, 4, 4, 2], [2, 6, 6, 6, 2, 2, 4, 4, 1, 2], [2, 6, 6, 6, 2, 2, 1, 4, 1, 2], [2, 6, 6, 6, 2, 2, 1, 1, 1, 2], [2, 6, 6, 6, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 6, 6, 6, 2, 2], [6, 6, 6, 2, 2, 6, 6, 6, 2, 2], [6, 6, 6, 2, 2, 6, 6, 6, 2, 2], [6, 6, 6, 2, 2, 6, 6, 6, 2, 2], [6, 6, 6, 2, 2, 2, 2, 2, 2, 2]], "output": [[2, 2, 2, 2, 2, 2, 4, 4, 4, 2], [2, 4, 4, 4, 2, 2, 4, 4, 1, 2], [2, 4, 4, 1, 2, 2, 1, 4, 1, 2], [2, 1, 4, 1, 2, 2, 1, 1, 1, 2], [2, 1, 1, 1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 4, 4, 4, 2, 2], [4, 4, 4, 2, 2, 4, 4, 1, 2, 2], [4, 4, 1, 2, 2, 1, 4, 1, 2, 2], [1, 4, 1, 2, 2, 1, 1, 1, 2, 2], [1, 1, 1, 2, 2, 2, 2, 2, 2, 2]], "task_id": "e76a88a6", "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 2 2 2 6 6 6 6 6 6 6 6 6 7 2 7 6 6 6 5 8 5 6 6 6 7 7 7 6 6 6 8 8 8 6 6 6 6 6 6 6 6 6 8 5 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 0 2 2 6 6 6 6 6 6 6 6 6 2 0 0 6 6 6 6 6 6 6 6 6 2 0 0 6 6 4 4 1 6 6 6 6 6 6 6 6 6 4 1 1 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 Output: 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 2 7 2 6 6 6 8 5 8 6 6 6 2 2 2 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 5 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 0 0 6 6 6 6 6 6 6 6 6 0 2 2 6 6 6 6 6 6 6 6 6 0 2 2 6 6 1 1 4 6 6 6 6 6 6 6 6 6 1 4 4 6 6 6 6 6 6 6 6 6 4 4 4 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 7 7 4 6 6 6 6 6 6 6 4 7 4 6 6 6 6 6 6 6 7 7 4 6 6 6 6 6 6 6 6 6 6 6 6 5 8 8 6 6 6 6 6 6 6 5 5 8 6 6 6 6 6 6 6 5 8 8 6 6 6 6 6 6 6 6 6 6 6 6 6 5 0 5 6 6 6 6 6 6 6 5 0 5 6 6 6 6 6 6 6 5 5 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 Output: 6 6 6 6 6 6 6 6 6 6 6 4 4 7 6 6 6 6 6 6 6 7 4 7 6 6 6 6 6 6 6 4 4 7 6 6 6 6 6 6 6 6 6 6 6 6 8 5 5 6 6 6 6 6 6 6 8 8 5 6 6 6 6 6 6 6 8 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 0 5 0 6 6 6 6 6 6 6 0 5 0 6 6 6 6 6 6 6 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 Example 3: Input: 6 6 6 6 6 6 6 6 1 7 1 6 6 6 6 1 7 1 6 6 6 6 7 7 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 Output: 6 6 6 6 6 6 6 6 7 1 7 6 6 6 6 7 1 7 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 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 5 8 8 6 6 6 6 6 6 5 5 8 6 6 6 6 6 6 5 8 8 6 6 6 6 6 6 6 6 6 6 0 0 0 6 6 6 6 6 6 2 2 2 6 6 6 6 6 6 2 0 0 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\n6 8 5 5 6 6 6 6 6\n6 8 8 5 6 6 6 6 6\n6 8 5 5 6 6 6 6 6\n6 6 6 6 6 2 2 2 6\n6 6 6 6 6 0 0 0 6\n6 6 6 6 6 0 2 2 6\n6 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 6 6\n6 2 2 2 6 6 6 6 6 6 6 6\n6 7 2 7 6 6 6 5 8 5 6 6\n6 7 7 7 6 6 6 8 8 8 6 6\n6 6 6 6 6 6 6 8 5 8 6 6\n6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 0 2 2 6 6 6 6 6 6\n6 6 6 2 0 0 6 6 6 6 6 6\n6 6 6 2 0 0 6 6 4 4 1 6\n6 6 6 6 6 6 6 6 4 1 1 6\n6 6 6 6 6 6 6 6 1 1 1 6\n6 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 7 7 7 6 6 6 6 6 6 6 6\n6 2 7 2 6 6 6 8 5 8 6 6\n6 2 2 2 6 6 6 5 5 5 6 6\n6 6 6 6 6 6 6 5 8 5 6 6\n6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 2 0 0 6 6 6 6 6 6\n6 6 6 0 2 2 6 6 6 6 6 6\n6 6 6 0 2 2 6 6 1 1 4 6\n6 6 6 6 6 6 6 6 1 4 4 6\n6 6 6 6 6 6 6 6 4 4 4 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\n6 7 7 4 6 6 6 6 6 6\n6 4 7 4 6 6 6 6 6 6\n6 7 7 4 6 6 6 6 6 6\n6 6 6 6 6 6 5 8 8 6\n6 6 6 6 6 6 5 5 8 6\n6 6 6 6 6 6 5 8 8 6\n6 6 6 6 6 6 6 6 6 6\n6 6 5 0 5 6 6 6 6 6\n6 6 5 0 5 6 6 6 6 6\n6 6 5 5 5 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 4 4 7 6 6 6 6 6 6\n6 7 4 7 6 6 6 6 6 6\n6 4 4 7 6 6 6 6 6 6\n6 6 6 6 6 6 8 5 5 6\n6 6 6 6 6 6 8 8 5 6\n6 6 6 6 6 6 8 5 5 6\n6 6 6 6 6 6 6 6 6 6\n6 6 0 5 0 6 6 6 6 6\n6 6 0 5 0 6 6 6 6 6\n6 6 0 0 0 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\n6 1 7 1 6 6 6\n6 1 7 1 6 6 6\n6 7 7 7 6 6 6\n6 6 6 6 6 6 6\n6 6 6 6 6 6 6\n6 6 6 6 6 6 6\nOutput:\n6 6 6 6 6 6 6\n6 7 1 7 6 6 6\n6 7 1 7 6 6 6\n6 1 1 1 6 6 6\n6 6 6 6 6 6 6\n6 6 6 6 6 6 6\n6 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\n6 5 8 8 6 6 6 6 6\n6 5 5 8 6 6 6 6 6\n6 5 8 8 6 6 6 6 6\n6 6 6 6 6 0 0 0 6\n6 6 6 6 6 2 2 2 6\n6 6 6 6 6 2 0 0 6\n6 6 6 6 6 6 6 6 6\n", "answer": "6 6 6 6 6 6 6 6 6\n6 8 5 5 6 6 6 6 6\n6 8 8 5 6 6 6 6 6\n6 8 5 5 6 6 6 6 6\n6 6 6 6 6 2 2 2 6\n6 6 6 6 6 0 0 0 6\n6 6 6 6 6 0 2 2 6\n6 6 6 6 6 6 6 6 6", "metadata": {"source_dataset": "arc_agi", "source_index": 151, "input": [[6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 5, 8, 8, 6, 6, 6, 6, 6], [6, 5, 5, 8, 6, 6, 6, 6, 6], [6, 5, 8, 8, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 0, 0, 0, 6], [6, 6, 6, 6, 6, 2, 2, 2, 6], [6, 6, 6, 6, 6, 2, 0, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6]], "output": [[6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 8, 5, 5, 6, 6, 6, 6, 6], [6, 8, 8, 5, 6, 6, 6, 6, 6], [6, 8, 5, 5, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 2, 2, 2, 6], [6, 6, 6, 6, 6, 0, 0, 0, 6], [6, 6, 6, 6, 6, 0, 2, 2, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_id": "45737921", "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": 151, "input": [[6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 5, 8, 8, 6, 6, 6, 6, 6], [6, 5, 5, 8, 6, 6, 6, 6, 6], [6, 5, 8, 8, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 0, 0, 0, 6], [6, 6, 6, 6, 6, 2, 2, 2, 6], [6, 6, 6, 6, 6, 2, 0, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6]], "output": [[6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 8, 5, 5, 6, 6, 6, 6, 6], [6, 8, 8, 5, 6, 6, 6, 6, 6], [6, 8, 5, 5, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 2, 2, 2, 6], [6, 6, 6, 6, 6, 0, 0, 0, 6], [6, 6, 6, 6, 6, 0, 2, 2, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_id": "45737921", "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 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 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 5 5 0 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 9 4 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 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 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 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 4 4 4 4 4 4 4 4 4 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 4 4 4 4 4 4 4 4 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 5 5 0 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 9 4 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 5 5 0 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 9 4 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 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 4 4 4 4 4 4 4 4 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: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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 4 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 4 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 7 7 7 7 7 7 7 7 7 7 7 7 7 0 0 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 0 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 0 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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 6 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 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 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 6 4 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 4 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 7 7 7 7 7 7 7 7 7 7 7 7 7 0 0 0 4 4 4 4 4 4 7 7 7 7 7 7 7 7 7 7 7 7 0 0 0 4 4 4 4 4 4 7 7 7 7 7 7 7 7 7 7 7 7 0 0 0 4 4 4 4 4 4 7 7 7 7 7 7 7 7 7 7 7 7 4 4 4 7 7 7 4 4 4 7 7 7 7 7 7 7 7 7 7 7 7 4 4 4 7 7 7 4 4 4 7 7 7 7 7 7 7 7 7 7 7 7 4 4 4 7 7 7 4 4 4 7 7 7 7 7 7 7 7 7 7 7 7 4 4 4 4 4 4 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 4 4 4 4 4 4 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 4 4 4 4 4 4 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 7 7 7 7 7 7 7 7 7 7 7 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 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 0 5 5 5 5 5 5 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 5 5 5 5 5 5 5 7 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 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 5 5 5 5 5 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 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 5 5 5 5 5 5 5 5 5 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 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 0 5 5 5 5 5 5 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 5 5 5 5 5 5 5 7 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 9 7 5 5 5 5 5 5 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 5 5 5 5 5 5 5 0 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 5 5 5 5 5 5 5 5 5 5 5 0 9 5 5 5 5 5 5 5 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 5 5 5 5 5 5 5 5 9 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 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 9 9 9 9 9 9 9 9 9 9 9 9 9 7 7 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 7 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 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 7 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 4 9 9 9 9 9 9 9 9 4 4 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 4 4 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 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 9 9 9 9 9 9 9 9 4 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 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 7 7 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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 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 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 5 5 5 7 7 7 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 5 5 5 7 7 7 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 5 5 5 7 7 7 9 9 9 9 9 9 9 9 9 9\n9 9 9 5 5 5 9 9 9 5 5 5 9 9 7 5 9 9 9 9 9 9\n9 9 9 5 5 5 9 9 9 5 5 5 9 9 5 9 5 9 9 9 9 9\n9 9 9 5 5 5 9 9 9 5 5 5 9 9 9 5 4 9 9 9 9 9\n9 9 9 4 4 4 5 5 5 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 4 4 4 5 5 5 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 4 4 4 5 5 5 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 9 9 9 9\n9 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 9 9 9 9\n9 9 9 9 9 4 4 5 5 9 9 9 9 9 9 9 9 9 9 5 4 9\n9 9 9 9 9 4 4 5 5 9 9 9 9 9 9 9 9 9 5 9 5 9\n9 9 9 9 9 5 5 9 9 5 5 9 9 9 9 9 9 9 7 5 9 9\n9 9 9 9 9 5 5 9 9 5 5 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 5 5 7 7 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 5 5 7 7 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 9 9 9 9\n9 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 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:\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 0 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 9 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 5 5 0 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 9 4 5 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 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 0 0 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 0 0 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 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 9 9 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 9 9 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 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\nOutput:\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 5 5 0 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 9 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 5 5 0 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 9 4 5 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 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 0 0 5 5 5 5 4 4 4 4 4\n4 4 4 4 4 4 4 4 0 0 5 5 5 5 4 4 4 4 4\n4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 5 5 4 4 9 9 4 4 4 4 4\n4 4 4 4 4 4 4 4 5 5 4 4 9 9 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 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\n\nExample 2:\n\nInput:\n7 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\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 4 4 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 4 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 4 0 7 7 7\n7 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\n7 7 7 7 7 7 7 0 0 0 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 0 0 0 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 0 0 0 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\n7 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\n7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 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 7 7\n7 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\n7 7 7 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 7 7\n7 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 6 4 4 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 4 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 4 0 7 7 7\n7 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\n7 7 7 7 7 7 7 0 0 0 4 4 4 4 4 4 7 7 7 7 7\n7 7 7 7 7 7 7 0 0 0 4 4 4 4 4 4 7 7 7 7 7\n7 7 7 7 7 7 7 0 0 0 4 4 4 4 4 4 7 7 7 7 7\n7 7 7 7 7 7 7 4 4 4 7 7 7 4 4 4 7 7 7 7 7\n7 7 7 7 7 7 7 4 4 4 7 7 7 4 4 4 7 7 7 7 7\n7 7 7 7 7 7 7 4 4 4 7 7 7 4 4 4 7 7 7 7 7\n7 7 7 7 7 7 7 4 4 4 4 4 4 6 6 6 7 7 7 7 7\n7 7 7 7 7 7 7 4 4 4 4 4 4 6 6 6 7 7 7 7 7\n7 7 7 7 7 7 7 4 4 4 4 4 4 6 6 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 7 7\n7 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\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\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\n5 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\n5 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\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 9 0 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 9 9 9 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 7 9 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\n5 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 7 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\n5 5 5 5 5 5 0 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\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 0 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\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 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\n5 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\n5 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\n5 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\n5 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\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 9 0 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 9 9 9 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 7 9 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\n5 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 9 7 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 9 9 9 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 0 9 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\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 0 9 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 9 9 9 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 9 7 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\n5 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\n5 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:\n9 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 7 7 7 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 7 7 7 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 7 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 9 7 5 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 5 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 4 9 9 9 9 9\n9 9 9 4 4 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 4 4 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 4 4 4 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 9 9 9 9\n9 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 9 9 9 9\n9 9 9 9 9 4 4 9 9 9 9 9 9 9 9 9 9 9 9 9 4 9\n9 9 9 9 9 4 4 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 7 9 9 9\n9 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 7 7 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 7 7 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 9 9 9 9\n9 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 9 9 9 9\n", "answer": "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 5 5 5 7 7 7 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 5 5 5 7 7 7 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 5 5 5 7 7 7 9 9 9 9 9 9 9 9 9 9\n9 9 9 5 5 5 9 9 9 5 5 5 9 9 7 5 9 9 9 9 9 9\n9 9 9 5 5 5 9 9 9 5 5 5 9 9 5 9 5 9 9 9 9 9\n9 9 9 5 5 5 9 9 9 5 5 5 9 9 9 5 4 9 9 9 9 9\n9 9 9 4 4 4 5 5 5 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 4 4 4 5 5 5 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 4 4 4 5 5 5 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 9 9 9 9\n9 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 9 9 9 9\n9 9 9 9 9 4 4 5 5 9 9 9 9 9 9 9 9 9 9 5 4 9\n9 9 9 9 9 4 4 5 5 9 9 9 9 9 9 9 9 9 5 9 5 9\n9 9 9 9 9 5 5 9 9 5 5 9 9 9 9 9 9 9 7 5 9 9\n9 9 9 9 9 5 5 9 9 5 5 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 5 5 7 7 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 5 5 7 7 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 9 9 9 9\n9 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 9 9 9 9", "metadata": {"source_dataset": "arc_agi", "source_index": 152, "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, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 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, 7, 5, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 5, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 4, 9, 9, 9, 9, 9], [9, 9, 9, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 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, 9, 9, 9, 9, 9, 9, 9, 9, 4, 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, 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, 7, 7, 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], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 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, 5, 5, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 5, 5, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 5, 5, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 5, 5, 5, 9, 9, 9, 5, 5, 5, 9, 9, 7, 5, 9, 9, 9, 9, 9, 9], [9, 9, 9, 5, 5, 5, 9, 9, 9, 5, 5, 5, 9, 9, 5, 9, 5, 9, 9, 9, 9, 9], [9, 9, 9, 5, 5, 5, 9, 9, 9, 5, 5, 5, 9, 9, 9, 5, 4, 9, 9, 9, 9, 9], [9, 9, 9, 4, 4, 4, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 4, 4, 4, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 4, 4, 4, 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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 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, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 4, 9], [9, 9, 9, 9, 9, 4, 4, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 5, 9], [9, 9, 9, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 9, 9, 9, 9, 9, 7, 5, 9, 9], [9, 9, 9, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 5, 5, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 5, 5, 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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 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": "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": 152, "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, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 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, 7, 5, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 5, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 4, 9, 9, 9, 9, 9], [9, 9, 9, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 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, 9, 9, 9, 9, 9, 9, 9, 9, 4, 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, 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, 7, 7, 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], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 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, 5, 5, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 5, 5, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 5, 5, 5, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 5, 5, 5, 9, 9, 9, 5, 5, 5, 9, 9, 7, 5, 9, 9, 9, 9, 9, 9], [9, 9, 9, 5, 5, 5, 9, 9, 9, 5, 5, 5, 9, 9, 5, 9, 5, 9, 9, 9, 9, 9], [9, 9, 9, 5, 5, 5, 9, 9, 9, 5, 5, 5, 9, 9, 9, 5, 4, 9, 9, 9, 9, 9], [9, 9, 9, 4, 4, 4, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 4, 4, 4, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 4, 4, 4, 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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 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, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 4, 9], [9, 9, 9, 9, 9, 4, 4, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 5, 9], [9, 9, 9, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 9, 9, 9, 9, 9, 7, 5, 9, 9], [9, 9, 9, 9, 9, 5, 5, 9, 9, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 5, 5, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 5, 5, 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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 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": "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: 3 7 3 7 3 7 3 7 7 Output: 3 1 3 1 3 7 3 7 7 Example 2: Input: 3 7 3 3 3 3 3 7 7 3 7 7 3 3 3 7 Output: 3 1 3 3 3 3 3 7 1 3 7 7 3 3 3 7 Example 3: Input: 7 3 7 3 3 7 3 3 3 3 7 3 7 7 7 3 3 7 3 7 Output: 7 3 1 3 3 7 3 3 3 3 7 3 7 7 7 3 3 7 3 7 Example 4: Input: 3 7 7 3 7 7 7 3 3 Output: 3 7 7 3 7 7 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: 7 3 3 3 7 7 3 7 3 3 3 3 3 7 7 3 7 3 3 7
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 3 3 3 1\n7 3 1 3 3\n3 3 3 7 7\n3 1 3 3 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 7 3\n7 3 7\n3 7 7\nOutput:\n3 1 3\n1 3 7\n3 7 7\n\nExample 2:\n\nInput:\n3 7 3 3\n3 3 3 7\n7 3 7 7\n3 3 3 7\nOutput:\n3 1 3 3\n3 3 3 7\n1 3 7 7\n3 3 3 7\n\nExample 3:\n\nInput:\n7 3 7 3 3\n7 3 3 3 3\n7 3 7 7 7\n3 3 7 3 7\nOutput:\n7 3 1 3 3\n7 3 3 3 3\n7 3 7 7 7\n3 3 7 3 7\n\nExample 4:\n\nInput:\n3 7 7\n3 7 7\n7 3 3\nOutput:\n3 7 7\n3 7 7\n1 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:\n7 3 3 3 7\n7 3 7 3 3\n3 3 3 7 7\n3 7 3 3 7\n", "answer": "7 3 3 3 1\n7 3 1 3 3\n3 3 3 7 7\n3 1 3 3 7", "metadata": {"source_dataset": "arc_agi", "source_index": 153, "input": [[7, 3, 3, 3, 7], [7, 3, 7, 3, 3], [3, 3, 3, 7, 7], [3, 7, 3, 3, 7]], "output": [[7, 3, 3, 3, 1], [7, 3, 1, 3, 3], [3, 3, 3, 7, 7], [3, 1, 3, 3, 7]], "task_id": "aedd82e4", "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": 153, "input": [[7, 3, 3, 3, 7], [7, 3, 7, 3, 3], [3, 3, 3, 7, 7], [3, 7, 3, 3, 7]], "output": [[7, 3, 3, 3, 1], [7, 3, 1, 3, 3], [3, 3, 3, 7, 7], [3, 1, 3, 3, 7]], "task_id": "aedd82e4", "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 0 0 2 2 2 2 2 2 2 2 2 2 2 1 2 7 7 2 2 2 2 2 7 1 2 2 8 8 2 Output: 1 0 0 2 7 7 2 2 1 8 8 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 Example 2: Input: 2 7 7 2 2 2 2 7 7 2 2 2 2 2 2 7 7 2 8 2 2 2 2 2 8 2 1 2 0 0 8 2 2 2 2 2 Output: 8 7 7 7 7 2 8 7 7 2 0 0 8 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 4 4 2 2 2 2 2 2 2 2 4 4 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 2 2 7 7 2 2 2 8 2 2 2 2 2 7 2 2 2 8 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Output: 2 2 1 2 2 0 4 4 2 2 2 2 8 2 0 0 4 4 2 2 2 2 8 2 2 2 2 7 7 2 2 2 2 2 2 2 2 2 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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: 2 2 2 2 2 2 2 2 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 3 3 2 7 2 1 2 2 2 2 3 2 2 7 7 2 4 2 2 2 3 3 0 2 2 2 4 2 2 1 2 2 0 2 1 2 2 2 2 2 2 2 0 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 2 2
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 4 8 8 1 3 3 0 7 2\n2 4 1 2 2 3 2 0 7 7\n2 2 2 2 2 3 3 0 2 1\n2 2 2 2 2 2 7 7 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", "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\n2 0 0 2 2 2\n2 2 2 2 2 2\n2 2 1 2 7 7\n2 2 2 2 2 7\n1 2 2 8 8 2\nOutput:\n1 0 0 2 7 7\n2 2 1 8 8 7\n2 2 2 2 2 2\n2 2 2 2 2 2\n2 2 2 2 2 2\n2 2 2 2 2 2\n\nExample 2:\n\nInput:\n2 7 7 2 2 2\n2 7 7 2 2 2\n2 2 2 7 7 2\n8 2 2 2 2 2\n8 2 1 2 0 0\n8 2 2 2 2 2\nOutput:\n8 7 7 7 7 2\n8 7 7 2 0 0\n8 2 1 2 2 2\n2 2 2 2 2 2\n2 2 2 2 2 2\n2 2 2 2 2 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 4 4 2 2\n2 2 2 2 2 2 4 4 2 2\n2 2 1 2 2 2 2 2 2 2\n2 2 2 2 2 0 2 2 2 2\n2 2 2 2 0 0 2 2 2 2\n2 2 2 2 2 2 2 7 7 2\n2 2 8 2 2 2 2 2 7 2\n2 2 8 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\nOutput:\n2 2 1 2 2 0 4 4 2 2\n2 2 8 2 0 0 4 4 2 2\n2 2 8 2 2 2 2 7 7 2\n2 2 2 2 2 2 2 2 7 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 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 8 8 2 3 3 2 7 2\n1 2 2 2 2 3 2 2 7 7\n2 4 2 2 2 3 3 0 2 2\n2 4 2 2 1 2 2 0 2 1\n2 2 2 2 2 2 2 0 2 2\n2 2 1 2 2 2 2 2 2 2\n2 2 2 2 2 2 7 7 2 2\n", "answer": "1 4 8 8 1 3 3 0 7 2\n2 4 1 2 2 3 2 0 7 7\n2 2 2 2 2 3 3 0 2 1\n2 2 2 2 2 2 7 7 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", "metadata": {"source_dataset": "arc_agi", "source_index": 154, "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, 8, 8, 2, 3, 3, 2, 7, 2], [1, 2, 2, 2, 2, 3, 2, 2, 7, 7], [2, 4, 2, 2, 2, 3, 3, 0, 2, 2], [2, 4, 2, 2, 1, 2, 2, 0, 2, 1], [2, 2, 2, 2, 2, 2, 2, 0, 2, 2], [2, 2, 1, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 7, 7, 2, 2]], "output": [[1, 4, 8, 8, 1, 3, 3, 0, 7, 2], [2, 4, 1, 2, 2, 3, 2, 0, 7, 7], [2, 2, 2, 2, 2, 3, 3, 0, 2, 1], [2, 2, 2, 2, 2, 2, 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, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "task_id": "5ffb2104", "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": 154, "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, 8, 8, 2, 3, 3, 2, 7, 2], [1, 2, 2, 2, 2, 3, 2, 2, 7, 7], [2, 4, 2, 2, 2, 3, 3, 0, 2, 2], [2, 4, 2, 2, 1, 2, 2, 0, 2, 1], [2, 2, 2, 2, 2, 2, 2, 0, 2, 2], [2, 2, 1, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 7, 7, 2, 2]], "output": [[1, 4, 8, 8, 1, 3, 3, 0, 7, 2], [2, 4, 1, 2, 2, 3, 2, 0, 7, 7], [2, 2, 2, 2, 2, 3, 3, 0, 2, 1], [2, 2, 2, 2, 2, 2, 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, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "task_id": "5ffb2104", "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 6 6 6 6 5 5 5 5 6 6 5 5 6 6 5 5 5 5 5 5 6 6 6 6 5 6 6 5 5 5 5 5 5 5 5 5 5 6 6 5 Output: 0 2 8 0 2 8 0 2 8 Example 2: Input: 5 6 6 5 5 5 5 5 5 5 5 5 5 6 6 5 6 6 6 6 5 5 5 5 5 6 6 5 5 6 6 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Output: 8 9 0 8 9 0 8 9 0 Example 3: Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 6 6 5 5 6 6 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Output: 0 2 0 0 2 0 0 2 0 Example 4: Input: 5 5 5 5 6 6 5 5 6 6 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 5 6 6 5 5 6 6 5 5 5 5 5 Output: 2 0 9 2 0 9 2 0 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 6 6 5 5 6 6 5 5 5 5 5 6 6 6 6 5 6 6 5 5 5 5 5 5 5 5 5 5 6 6 5 6 6 6 6 5 5 5 5 6 6 5 5 6 6 5 5 5 5 5 5
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "9 8 2\n9 8 2\n9 8 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:\n5 5 5 5\n5 5 5 5\n5 5 5 5\n5 5 5 5\n6 6 6 6\n5 5 5 5\n6 6 5 5\n6 6 5 5\n5 5 5 5\n6 6 6 6\n5 6 6 5\n5 5 5 5\n5 5 5 5\n5 6 6 5\nOutput:\n0 2 8\n0 2 8\n0 2 8\n\nExample 2:\n\nInput:\n5 6 6 5\n5 5 5 5\n5 5 5 5\n5 6 6 5\n6 6 6 6\n5 5 5 5\n5 6 6 5\n5 6 6 5\n5 5 5 5\n6 6 6 6\n5 5 5 5\n5 5 5 5\n5 5 5 5\n5 5 5 5\nOutput:\n8 9 0\n8 9 0\n8 9 0\n\nExample 3:\n\nInput:\n5 5 5 5\n5 5 5 5\n5 5 5 5\n5 5 5 5\n6 6 6 6\n5 5 5 5\n6 6 5 5\n6 6 5 5\n5 5 5 5\n6 6 6 6\n5 5 5 5\n5 5 5 5\n5 5 5 5\n5 5 5 5\nOutput:\n0 2 0\n0 2 0\n0 2 0\n\nExample 4:\n\nInput:\n5 5 5 5\n6 6 5 5\n6 6 5 5\n5 5 5 5\n6 6 6 6\n5 5 5 5\n5 5 5 5\n5 5 5 5\n5 5 5 5\n6 6 6 6\n5 5 5 5\n5 6 6 5\n5 6 6 5\n5 5 5 5\nOutput:\n2 0 9\n2 0 9\n2 0 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\n5 6 6 5\n5 6 6 5\n5 5 5 5\n6 6 6 6\n5 6 6 5\n5 5 5 5\n5 5 5 5\n5 6 6 5\n6 6 6 6\n5 5 5 5\n6 6 5 5\n6 6 5 5\n5 5 5 5\n", "answer": "9 8 2\n9 8 2\n9 8 2", "metadata": {"source_dataset": "arc_agi", "source_index": 155, "input": [[5, 5, 5, 5], [5, 6, 6, 5], [5, 6, 6, 5], [5, 5, 5, 5], [6, 6, 6, 6], [5, 6, 6, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 6, 6, 5], [6, 6, 6, 6], [5, 5, 5, 5], [6, 6, 5, 5], [6, 6, 5, 5], [5, 5, 5, 5]], "output": [[9, 8, 2], [9, 8, 2], [9, 8, 2]], "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": 155, "input": [[5, 5, 5, 5], [5, 6, 6, 5], [5, 6, 6, 5], [5, 5, 5, 5], [6, 6, 6, 6], [5, 6, 6, 5], [5, 5, 5, 5], [5, 5, 5, 5], [5, 6, 6, 5], [6, 6, 6, 6], [5, 5, 5, 5], [6, 6, 5, 5], [6, 6, 5, 5], [5, 5, 5, 5]], "output": [[9, 8, 2], [9, 8, 2], [9, 8, 2]], "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: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 6 6 6 6 6 2 2 2 6 6 6 6 6 6 2 2 2 2 6 6 6 6 6 6 6 2 2 2 6 6 6 6 6 6 2 6 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 6 2 2 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 6 6 6 6 6 6 6 6 6 6 2 2 2 2 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 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 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 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 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 2 2 2 5 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 5 2 2 2 5 6 6 6 6 5 8 8 8 8 5 6 6 6 6 6 5 2 2 2 5 6 6 6 6 5 8 9 8 8 5 6 6 6 6 6 5 5 5 5 5 6 6 6 6 5 8 9 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 8 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 8 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 8 8 8 5 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 5 2 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 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 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 2 2 2 2 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 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 6 6 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 6 6 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 6 6 2 2 2 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 2 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 6 6 6 6 6 6 6 2 2 2 2 2 2 6 6 6 6 6 2 2 2 2 2 6 6 6 6 6 6 6 2 6 6 6 2 2 6 6 6 6 6 2 2 2 2 2 6 6 6 6 6 6 6 2 6 6 6 2 2 6 6 6 6 6 2 2 2 2 2 6 6 6 6 6 6 6 2 6 6 6 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 8 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 8 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 8 8 8 8 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 8 8 8 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 8 9 9 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 8 9 9 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 8 8 8 8 8 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 2 2 2 2 2 2 2 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 2 2 2 2 2 2 2 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 2 2 2 2 2 2 2 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 2 2 2 2 2 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 2 2 2 2 2 5 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 5 2 2 2 2 2 5 6 6 6 6 6 5 8 8 8 8 8 8 5 6 6 6 5 2 2 2 2 2 5 6 6 6 6 6 5 8 9 9 9 8 8 5 6 6 6 5 2 2 2 2 2 5 6 6 6 6 6 5 8 9 9 9 8 8 5 6 6 6 5 2 2 2 2 2 5 6 6 6 6 6 5 8 9 9 9 8 8 5 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 5 8 8 8 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 8 8 8 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 8 8 8 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 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 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 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 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 2 2 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 6 6 6 2 2 2 2 2 2 6 6 2 2 2 2 2 2 2 6 6 6 6 6 2 2 6 6 6 6 6 6 2 2 2 2 6 6 6 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 6 6 6 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 6 6 6 6 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 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 2 2 2 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 2 6 6 6 6 2 2 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 6 6 6 6 2 2 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 6 6 6 6 2 2 2 2 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 6 6 2 2 2 2 2 2 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 6 6 2 6 6 6 6 2 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 6 6 2 6 6 6 6 2 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 6 6 2 6 6 6 6 2 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 6 6 2 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 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 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 2 2 2 2 2 2 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 2 2 2 2 2 2 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 5 2 2 2 2 2 2 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 2 5 6 6 6 6 5 2 2 2 2 2 2 5 5 2 2 2 2 2 2 2 5 6 6 6 5 2 2 5 6 6 6 6 5 2 2 2 2 5 5 5 5 2 2 2 2 2 2 2 5 6 6 6 5 5 5 5 6 6 6 6 5 2 2 2 2 5 6 6 5 2 2 2 2 2 2 2 5 6 6 6 6 6 6 6 6 6 6 6 5 2 2 2 2 5 6 6 5 2 2 2 2 2 2 2 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 5 2 2 2 2 2 2 2 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 5 2 2 2 2 2 2 2 5 6 6 6 6 6 6 6 6 6 6 5 8 8 8 8 8 8 5 6 5 5 2 2 2 2 2 2 5 6 6 6 6 6 6 6 6 6 6 5 5 5 8 8 8 8 5 6 6 5 2 2 2 2 2 2 5 5 5 5 5 5 6 6 6 6 6 6 6 5 8 8 8 8 5 6 5 5 2 2 2 2 2 2 2 2 2 2 2 5 6 6 6 6 6 5 5 5 8 8 8 8 5 6 5 2 2 2 2 2 2 2 2 2 2 2 2 5 6 6 6 6 6 5 8 8 8 8 8 8 5 6 5 2 2 2 2 2 2 2 2 2 2 2 2 5 6 6 6 6 6 5 8 9 9 9 9 8 5 6 5 2 2 2 2 2 2 2 2 2 2 2 2 5 6 6 6 6 6 5 8 9 9 9 9 8 5 6 5 2 2 2 2 2 2 2 2 2 2 2 2 5 6 6 6 6 6 5 8 9 9 9 9 8 5 6 5 2 2 2 2 2 2 2 2 2 2 2 2 5 6 6 6 6 6 5 8 9 9 9 9 8 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 8 8 8 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 8 8 8 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 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 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 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 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 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 6 6 6 6 6 2 2 2 2 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 2 2 2 2 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 2 2 2 2 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 2 6 6 6 2 2 2 2 2 2 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 6 6 6 6 2 2 2 2 2 2 6 6 6 6 6 6 6 2 2 2 2 2 2 2 2 2 6 6 6 6 2 2 2 2 2 2 6 6 6 6 6 6 6 2 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 2 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 2 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 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 6 6 6 6 6 6 6 6 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 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 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 6 6 6 6 6 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 2 6 6 6 6 6 2 6 2 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 2 6 6 6 6 6 2 6 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 6 6 6 6 6 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 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 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 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 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 6 6 6 6 6 6\n6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 5 8 8 8 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 5 5 8 8 8 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 5 8 8 8 8 8 8 8 5 6 6 6 5 5 5 5 5 5 6 6 6 6\n6 5 5 5 5 8 8 8 8 8 8 8 5 6 6 6 5 2 2 2 2 5 6 6 6 6\n6 5 8 8 8 8 8 8 8 8 8 8 5 6 6 6 5 2 2 2 2 5 6 6 6 6\n6 5 8 8 8 8 8 8 8 8 8 8 5 6 5 5 5 2 2 2 2 5 6 6 6 6\n6 5 8 8 8 8 8 8 8 8 8 8 5 6 5 2 2 2 2 2 2 5 6 6 6 6\n6 5 8 8 8 8 8 8 8 8 8 5 5 6 5 2 2 2 2 2 2 5 6 6 6 6\n6 5 8 8 8 8 8 8 8 8 8 5 6 6 5 2 2 2 2 2 2 5 6 6 6 6\n6 5 8 9 9 9 8 8 8 5 5 5 6 6 5 5 5 5 5 5 5 5 6 6 6 6\n6 5 8 9 9 9 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 5 8 9 9 9 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 5 8 8 8 8 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 5 5 5 2 2 2 2 5 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 5 2 2 2 2 2 2 5 6 6 6 5 5 5 5 5 6\n6 6 6 6 6 6 6 6 6 5 2 2 2 2 2 2 5 6 6 6 5 8 8 8 5 6\n6 6 6 6 6 6 6 6 6 5 2 2 2 2 2 2 5 6 6 6 5 8 9 8 5 6\n6 6 6 6 6 6 6 6 6 5 2 2 2 2 2 2 5 6 6 6 5 8 9 8 5 6\n6 6 6 6 6 6 6 6 6 5 5 5 2 2 2 2 5 6 6 6 5 8 8 8 5 6\n6 6 6 6 6 6 6 6 6 6 6 5 2 2 2 2 5 6 6 6 5 5 5 5 5 6\n6 6 6 6 6 6 6 6 6 6 6 5 2 2 2 2 5 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 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 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 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 2 2 2 6 6 6 6 6 6 2 2 2 2 6 6 6 6\n6 6 6 2 2 2 6 6 6 6 6 6 2 6 2 2 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 2 6 2 2 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 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 2 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 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 5 2 2 2 5 6 6 6 6 5 5 5 5 5 5 6 6 6\n6 6 5 2 2 2 5 6 6 6 6 5 8 8 8 8 5 6 6 6\n6 6 5 2 2 2 5 6 6 6 6 5 8 9 8 8 5 6 6 6\n6 6 5 5 5 5 5 6 6 6 6 5 8 9 8 8 5 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 5 8 8 8 8 5 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 5 8 8 8 8 5 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 5 5 8 8 8 5 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 5 8 8 8 5 6 6 6\n6 6 6 6 6 5 5 5 6 6 6 6 5 5 5 5 5 6 6 6\n6 6 6 6 6 5 2 5 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 5 5 5 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:\n6 6 6 6 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 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 2 2 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 2 6 6 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 2 6 6 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 2 2 2 2 2 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 2 2 2 2 2 2 2 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 2 2 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 2 2 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 6 6 6 6 6 6\n6 2 2 2 2 2 2 6 6 6 6 6 2 2 2 2 2 6 6 6 6 6 6\n6 2 6 6 6 2 2 6 6 6 6 6 2 2 2 2 2 6 6 6 6 6 6\n6 2 6 6 6 2 2 6 6 6 6 6 2 2 2 2 2 6 6 6 6 6 6\n6 2 6 6 6 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 2 2 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 2 2 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 2 2 2 2 2 2 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 6 6 6\n6 6 6 6 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 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 5 8 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 5 8 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 5 8 8 8 8 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 5 8 8 8 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 5 5 8 9 9 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 5 8 9 9 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 5 8 8 8 8 8 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6\n6 6 5 5 5 5 5 5 5 5 2 2 2 2 2 2 2 5 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 5 2 2 2 2 2 2 2 5 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 5 2 2 2 2 2 2 2 5 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 5 5 5 2 2 2 2 2 5 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 5 2 2 2 2 2 5 6 6 6 6 6\n5 5 5 5 5 5 5 5 6 6 6 5 2 2 2 2 2 5 6 6 6 6 6\n5 8 8 8 8 8 8 5 6 6 6 5 2 2 2 2 2 5 6 6 6 6 6\n5 8 9 9 9 8 8 5 6 6 6 5 2 2 2 2 2 5 6 6 6 6 6\n5 8 9 9 9 8 8 5 6 6 6 5 2 2 2 2 2 5 6 6 6 6 6\n5 8 9 9 9 8 8 5 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6\n5 8 8 8 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n5 8 8 8 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n5 8 8 8 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n5 5 5 5 5 5 5 5 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 6 6 6\n\nExample 3:\n\nInput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 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\n6 6 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\n6 6 2 2 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 6\n6 6 2 2 2 2 2 2 6 6 2 2 2 2 2 2 2 6 6 6 6 6 2 2 6 6 6 6\n6 6 2 2 2 2 6 6 6 6 2 2 2 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6\n6 6 2 2 2 2 6 6 6 6 2 2 2 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6\n6 6 2 2 2 2 6 6 6 6 2 2 2 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6\n6 2 2 2 2 2 2 6 6 6 6 2 2 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 2 2 2 2 6 6 6 6 2 2 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 2 2 2 2 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 6\n6 6 6 2 2 2 2 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 6\n6 2 2 2 2 2 2 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 6\n6 2 6 6 6 6 2 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 6\n6 2 6 6 6 6 2 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 6\n6 2 6 6 6 6 2 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 6\n6 2 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\n6 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\n6 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\n6 6 6 6 6 6 6 6 6 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 6 6 6 6 6 6 6 6\nOutput:\n6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 5 2 2 2 2 2 2 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 5 2 2 2 2 2 2 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6\n6 5 2 2 2 2 2 2 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 2 5 6 6 6\n6 5 2 2 2 2 2 2 5 5 2 2 2 2 2 2 2 5 6 6 6 5 2 2 5 6 6 6\n6 5 2 2 2 2 5 5 5 5 2 2 2 2 2 2 2 5 6 6 6 5 5 5 5 6 6 6\n6 5 2 2 2 2 5 6 6 5 2 2 2 2 2 2 2 5 6 6 6 6 6 6 6 6 6 6\n6 5 2 2 2 2 5 6 6 5 2 2 2 2 2 2 2 5 6 6 6 6 6 6 6 6 6 6\n6 5 5 5 5 5 5 6 6 5 2 2 2 2 2 2 2 5 6 6 6 6 6 6 6 6 6 6\n5 5 5 5 5 5 5 5 6 5 2 2 2 2 2 2 2 5 6 6 6 6 6 6 6 6 6 6\n5 8 8 8 8 8 8 5 6 5 5 2 2 2 2 2 2 5 6 6 6 6 6 6 6 6 6 6\n5 5 5 8 8 8 8 5 6 6 5 2 2 2 2 2 2 5 5 5 5 5 5 6 6 6 6 6\n6 6 5 8 8 8 8 5 6 5 5 2 2 2 2 2 2 2 2 2 2 2 5 6 6 6 6 6\n5 5 5 8 8 8 8 5 6 5 2 2 2 2 2 2 2 2 2 2 2 2 5 6 6 6 6 6\n5 8 8 8 8 8 8 5 6 5 2 2 2 2 2 2 2 2 2 2 2 2 5 6 6 6 6 6\n5 8 9 9 9 9 8 5 6 5 2 2 2 2 2 2 2 2 2 2 2 2 5 6 6 6 6 6\n5 8 9 9 9 9 8 5 6 5 2 2 2 2 2 2 2 2 2 2 2 2 5 6 6 6 6 6\n5 8 9 9 9 9 8 5 6 5 2 2 2 2 2 2 2 2 2 2 2 2 5 6 6 6 6 6\n5 8 9 9 9 9 8 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6\n5 8 8 8 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n5 8 8 8 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n5 5 5 5 5 5 5 5 6 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 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 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 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 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 6 6 6 6 6 6\n6 6 6 6 6 6 2 2 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 2 2 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 2 2 2 2 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 2 2 2 2 2 2 2 6 6 6 6 6 2 2 2 2 6 6 6 6 6\n6 6 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 2 2 2 2 6 6 6 6 6\n6 6 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 2 2 2 2 6 6 6 6 6\n6 6 2 2 2 2 2 2 2 2 2 2 6 6 6 2 2 2 2 2 2 6 6 6 6 6\n6 6 2 2 2 2 2 2 2 2 2 6 6 6 6 2 2 2 2 2 2 6 6 6 6 6\n6 6 2 2 2 2 2 2 2 2 2 6 6 6 6 2 2 2 2 2 2 6 6 6 6 6\n6 6 2 6 6 6 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 2 6 6 6 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 2 6 6 6 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 2 2 2 2 2 2 2 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 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 2 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 2 6 6 6 6 6 2 2 2 6 6\n6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 2 6 6 6 6 6 2 6 2 6 6\n6 6 6 6 6 6 6 6 6 6 2 2 2 2 2 2 6 6 6 6 6 2 6 2 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 6 6 6 6 6 2 2 2 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 2 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 6 6 6 6 6 6\n", "answer": "6 6 6 6 6 6 6 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 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 6 6 6 6 6 6\n6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 5 8 8 8 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 5 5 8 8 8 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 5 8 8 8 8 8 8 8 5 6 6 6 5 5 5 5 5 5 6 6 6 6\n6 5 5 5 5 8 8 8 8 8 8 8 5 6 6 6 5 2 2 2 2 5 6 6 6 6\n6 5 8 8 8 8 8 8 8 8 8 8 5 6 6 6 5 2 2 2 2 5 6 6 6 6\n6 5 8 8 8 8 8 8 8 8 8 8 5 6 5 5 5 2 2 2 2 5 6 6 6 6\n6 5 8 8 8 8 8 8 8 8 8 8 5 6 5 2 2 2 2 2 2 5 6 6 6 6\n6 5 8 8 8 8 8 8 8 8 8 5 5 6 5 2 2 2 2 2 2 5 6 6 6 6\n6 5 8 8 8 8 8 8 8 8 8 5 6 6 5 2 2 2 2 2 2 5 6 6 6 6\n6 5 8 9 9 9 8 8 8 5 5 5 6 6 5 5 5 5 5 5 5 5 6 6 6 6\n6 5 8 9 9 9 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 5 8 9 9 9 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 5 8 8 8 8 8 8 8 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 5 5 5 2 2 2 2 5 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 5 2 2 2 2 2 2 5 6 6 6 5 5 5 5 5 6\n6 6 6 6 6 6 6 6 6 5 2 2 2 2 2 2 5 6 6 6 5 8 8 8 5 6\n6 6 6 6 6 6 6 6 6 5 2 2 2 2 2 2 5 6 6 6 5 8 9 8 5 6\n6 6 6 6 6 6 6 6 6 5 2 2 2 2 2 2 5 6 6 6 5 8 9 8 5 6\n6 6 6 6 6 6 6 6 6 5 5 5 2 2 2 2 5 6 6 6 5 8 8 8 5 6\n6 6 6 6 6 6 6 6 6 6 6 5 2 2 2 2 5 6 6 6 5 5 5 5 5 6\n6 6 6 6 6 6 6 6 6 6 6 5 2 2 2 2 5 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6", "metadata": {"source_dataset": "arc_agi", "source_index": 156, "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], [6, 6, 6, 6, 6, 6, 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, 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, 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, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6, 6, 6], [6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6, 6, 6], [6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6, 6, 6], [6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6], [6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6], [6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6], [6, 6, 2, 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, 2, 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, 2, 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, 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, 6, 6, 6, 6, 6, 6, 6, 6, 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, 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, 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, 6, 6, 6, 6, 6, 2, 2, 2, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 2, 6, 2, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 2, 6, 2, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6, 6, 6, 2, 2, 2, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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, 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, 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, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 5, 8, 8, 8, 8, 8, 8, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 5, 5, 8, 8, 8, 8, 8, 8, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 5, 8, 8, 8, 8, 8, 8, 8, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6], [6, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 5, 6, 6, 6, 5, 2, 2, 2, 2, 5, 6, 6, 6, 6], [6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 6, 6, 6, 5, 2, 2, 2, 2, 5, 6, 6, 6, 6], [6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 6, 5, 5, 5, 2, 2, 2, 2, 5, 6, 6, 6, 6], [6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 6, 5, 2, 2, 2, 2, 2, 2, 5, 6, 6, 6, 6], [6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 5, 2, 2, 2, 2, 2, 2, 5, 6, 6, 6, 6], [6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 6, 6, 5, 2, 2, 2, 2, 2, 2, 5, 6, 6, 6, 6], [6, 5, 8, 9, 9, 9, 8, 8, 8, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6], [6, 5, 8, 9, 9, 9, 8, 8, 8, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 5, 8, 9, 9, 9, 8, 8, 8, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 5, 8, 8, 8, 8, 8, 8, 8, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 2, 2, 2, 2, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 2, 2, 2, 2, 2, 2, 5, 6, 6, 6, 5, 5, 5, 5, 5, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 2, 2, 2, 2, 2, 2, 5, 6, 6, 6, 5, 8, 8, 8, 5, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 2, 2, 2, 2, 2, 2, 5, 6, 6, 6, 5, 8, 9, 8, 5, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 2, 2, 2, 2, 2, 2, 5, 6, 6, 6, 5, 8, 9, 8, 5, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 2, 2, 2, 2, 5, 6, 6, 6, 5, 8, 8, 8, 5, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 2, 2, 2, 2, 5, 6, 6, 6, 5, 5, 5, 5, 5, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 2, 2, 2, 2, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_id": "aa4ec2a5", "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": 156, "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], [6, 6, 6, 6, 6, 6, 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, 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, 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, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6, 6, 6], [6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6, 6, 6], [6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6, 6, 6], [6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6], [6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6], [6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6], [6, 6, 2, 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, 2, 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, 2, 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, 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, 6, 6, 6, 6, 6, 6, 6, 6, 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, 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, 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, 6, 6, 6, 6, 6, 2, 2, 2, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 2, 6, 2, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 2, 6, 2, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6, 6, 6, 2, 2, 2, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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, 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, 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, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 5, 8, 8, 8, 8, 8, 8, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 5, 5, 8, 8, 8, 8, 8, 8, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 5, 8, 8, 8, 8, 8, 8, 8, 5, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6], [6, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 5, 6, 6, 6, 5, 2, 2, 2, 2, 5, 6, 6, 6, 6], [6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 6, 6, 6, 5, 2, 2, 2, 2, 5, 6, 6, 6, 6], [6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 6, 5, 5, 5, 2, 2, 2, 2, 5, 6, 6, 6, 6], [6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 6, 5, 2, 2, 2, 2, 2, 2, 5, 6, 6, 6, 6], [6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 5, 6, 5, 2, 2, 2, 2, 2, 2, 5, 6, 6, 6, 6], [6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 5, 6, 6, 5, 2, 2, 2, 2, 2, 2, 5, 6, 6, 6, 6], [6, 5, 8, 9, 9, 9, 8, 8, 8, 5, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6], [6, 5, 8, 9, 9, 9, 8, 8, 8, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 5, 8, 9, 9, 9, 8, 8, 8, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 5, 8, 8, 8, 8, 8, 8, 8, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 2, 2, 2, 2, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 2, 2, 2, 2, 2, 2, 5, 6, 6, 6, 5, 5, 5, 5, 5, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 2, 2, 2, 2, 2, 2, 5, 6, 6, 6, 5, 8, 8, 8, 5, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 2, 2, 2, 2, 2, 2, 5, 6, 6, 6, 5, 8, 9, 8, 5, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 2, 2, 2, 2, 2, 2, 5, 6, 6, 6, 5, 8, 9, 8, 5, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 2, 2, 2, 2, 5, 6, 6, 6, 5, 8, 8, 8, 5, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 2, 2, 2, 2, 5, 6, 6, 6, 5, 5, 5, 5, 5, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 2, 2, 2, 2, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_id": "aa4ec2a5", "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 9 8 8 8 8 9 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 2 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 5 1 8 8 8 8 8 2 8 8 2 8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 5 8 8 7 8 8 4 4 4 8 8 8 8 8 1 8 8 8 0 2 8 8 8 8 8 8 8 8 8 8 8 5 8 8 6 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 7 8 0 8 8 8 8 8 8 8 8 8 8 8 8 5 8 Output: 8 8 8 8 8 8 4 8 8 8 8 9 8 8 8 8 9 8 8 4 8 8 8 8 8 8 8 8 8 1 8 8 4 8 8 8 2 8 8 8 8 8 8 8 8 4 8 8 6 8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 5 1 8 8 8 8 4 2 8 8 2 8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 4 4 4 4 4 4 4 4 4 4 4 4 4 8 8 7 8 8 4 4 4 8 8 8 8 8 1 8 8 8 0 2 4 8 8 8 8 8 8 8 8 8 8 5 8 4 6 8 8 8 8 8 8 8 8 8 8 8 4 8 8 0 8 8 8 8 8 8 8 8 8 4 8 8 7 8 0 8 8 8 8 8 8 8 4 8 8 8 8 5 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 1 8 8 8 8 8 8 4 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 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 8 8 8 8 3 8 8 8 8 8 8 8 0 8 8 1 1 1 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 1 1 1 8 7 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 2 8 8 7 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 9 8 8 8 8 9 8 8 9 9 9 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 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 8 8 8 8 8 8 8 8 8 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 Output: 8 8 8 8 8 8 8 9 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 9 8 8 1 8 8 1 8 8 8 4 8 8 8 8 8 4 8 9 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 1 7 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 1 1 1 8 8 8 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 8 8 8 8 8 8 9 9 8 8 8 8 1 1 1 8 7 8 8 8 8 8 8 8 8 9 8 8 8 8 8 1 8 8 8 5 8 8 8 8 8 8 8 9 8 8 8 8 8 1 8 8 8 8 8 8 2 8 8 7 8 9 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 1 8 8 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 1 8 8 8 8 8 8 8 8 5 8 8 9 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 9 8 5 8 8 8 1 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 8 8 8 8 9 1 8 8 8 8 1 8 8 8 8 Example 3: Input: 8 8 8 8 8 8 8 8 6 8 8 8 8 4 8 8 8 8 8 8 8 8 8 4 8 8 8 9 8 8 8 8 8 0 0 0 2 0 8 8 7 8 8 8 8 8 8 8 8 8 8 0 0 0 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 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 4 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 6 6 6 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 6 6 6 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 2 8 8 8 8 3 8 8 8 9 8 8 9 8 8 8 8 8 8 8 8 8 9 8 8 8 4 8 8 8 8 8 8 8 8 8 8 0 8 8 2 8 8 1 8 8 8 1 7 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 4 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 9 9 9 2 0 8 8 8 8 7 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 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 Output: 8 8 8 8 6 8 8 8 6 8 8 8 9 4 8 8 0 8 8 8 8 8 6 4 8 8 8 9 8 8 9 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 8 8 5 8 6 8 8 8 8 8 8 8 9 8 8 0 0 0 8 8 8 8 6 8 8 8 8 8 8 8 9 8 8 8 0 8 8 8 8 8 6 8 8 8 8 8 8 8 9 8 0 8 0 8 8 8 8 6 6 6 8 8 8 8 8 8 9 8 8 8 0 8 6 6 6 6 6 6 6 6 6 6 6 6 8 6 6 6 8 6 8 8 8 6 6 6 8 8 8 8 8 8 9 8 8 8 0 8 8 8 8 8 6 8 8 8 8 8 8 8 9 8 2 8 0 8 8 3 8 8 6 9 8 8 9 8 8 8 9 8 8 8 0 8 9 8 8 8 6 8 8 8 8 8 8 8 9 8 8 0 0 8 2 8 8 1 6 8 8 1 7 8 8 8 9 8 8 8 0 8 8 8 4 8 6 8 8 8 8 4 8 9 9 9 8 8 0 8 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 8 9 8 8 7 8 6 8 8 8 8 8 8 9 9 9 8 8 0 8 8 8 8 8 6 8 8 8 8 8 8 8 9 8 8 8 0 8 8 8 8 2 6 8 8 8 8 8 8 8 9 8 8 8 0 8 Example 4: Input: 8 8 9 8 6 1 8 8 8 8 8 8 8 9 8 8 8 9 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 6 8 8 2 8 8 8 8 0 8 8 8 8 8 8 8 8 8 3 8 8 8 8 8 0 8 4 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 0 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 0 8 0 0 0 8 8 8 8 8 8 8 8 8 8 8 0 0 0 8 8 8 8 8 8 8 8 8 8 8 0 0 0 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 1 8 8 7 7 7 8 8 8 8 8 8 8 8 6 8 8 7 7 7 8 8 8 7 6 3 8 0 8 8 8 7 7 7 8 8 8 8 8 8 8 8 6 8 2 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 6 9 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 1 8 8 8 8 8 8 Output: 8 8 9 8 0 1 8 8 8 8 8 7 8 9 8 8 8 9 0 9 8 8 8 8 8 7 8 8 8 8 8 8 0 8 8 8 8 8 6 7 8 2 8 8 8 8 0 8 8 8 8 8 8 7 8 8 3 8 8 8 0 8 0 8 4 8 8 7 8 8 8 8 0 8 0 8 8 8 8 8 8 7 8 8 8 8 8 8 0 8 8 8 8 8 8 7 0 8 8 8 8 8 0 8 8 8 8 8 8 7 8 8 8 0 8 0 0 0 8 8 8 8 8 7 8 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 8 8 8 0 0 0 8 8 8 9 8 7 8 8 8 8 8 8 0 8 8 1 8 8 7 7 7 8 7 7 7 7 8 7 7 7 7 7 7 7 7 7 8 8 7 6 0 8 0 8 8 8 7 7 7 8 8 8 8 8 0 8 8 6 8 2 8 7 8 8 8 8 8 8 0 8 0 8 8 8 8 7 8 8 6 9 8 8 0 8 8 8 8 8 9 7 8 8 8 8 8 8 0 8 9 1 8 8 8 7 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 3 8 8 8 6 8 8 8 8 8 8 8 0 8 4 8 8 8 8 8 8 8 8 9 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 7 8 8 8 6 6 5 5 8 8 4 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 1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 8 8 8 8 8 9 8 8 8 8 8 2 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 6 8 8 8 7 8 8 8 7 8 4 8 8 8 8 8 8 8 8 8 8 2 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 4 9 9 9 3 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 4 8 8 1 8 8 8 4 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 9 8 8 8 3 8 8 8 1 4 4 4 8 8 8 2 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 6 8 8 8 8 2 8 8 8 8 1 4 4 4 8 8 8 8 8 8 8 8 8 8 4 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 9 8 8 8 7 8 8
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "8 1 8 8 8 8 8 4 8 8 8 6 8 8 9 8 8 8 8\n0 1 4 8 8 8 8 4 8 8 8 9 8 8 9 8 4 8 8\n8 1 8 8 8 8 8 4 8 8 8 8 1 8 9 8 8 7 8\n8 1 6 6 5 5 8 4 4 8 8 8 8 8 9 8 8 8 8\n1 1 1 8 8 8 8 4 8 8 8 8 8 8 9 8 8 8 8\n1 1 1 1 1 1 1 8 1 1 1 1 1 1 8 1 1 1 1\n1 1 1 8 8 8 8 4 9 8 8 8 8 8 9 8 8 8 8\n8 1 8 8 8 8 8 4 8 8 8 8 8 6 9 8 8 7 8\n8 1 7 8 4 8 8 4 8 8 8 8 8 8 9 2 4 8 8\n8 1 8 8 8 8 8 4 8 8 8 8 8 9 9 9 8 8 8\n9 8 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9\n8 1 8 8 8 8 8 4 8 8 8 8 8 9 9 9 8 7 4\n8 1 1 8 8 8 4 4 8 8 8 8 8 8 9 8 8 8 8\n8 1 8 8 6 8 8 4 8 8 8 8 8 8 9 8 9 8 8\n8 1 8 8 8 1 4 4 4 8 8 8 2 8 9 8 8 8 8\n4 8 4 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4 4\n2 1 8 8 8 1 4 4 4 8 8 8 8 8 9 8 8 8 8\n4 1 8 8 8 8 8 4 8 8 0 8 8 8 9 8 8 8 8\n8 1 8 8 8 8 8 4 8 8 8 8 9 8 9 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:\n8 8 8 8 8 8 9 8 8 8 8 9 8\n8 8 8 9 8 8 8 8 8 8 8 8 8\n8 8 8 1 8 8 8 8 8 8 2 8 8\n8 8 8 8 8 8 8 8 8 6 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8\n5 1 8 8 8 8 8 2 8 8 2 8 8\n8 8 8 8 8 4 4 4 8 8 8 8 8\n8 8 8 8 8 4 4 4 8 8 8 8 5\n8 8 7 8 8 4 4 4 8 8 8 8 8\n1 8 8 8 0 2 8 8 8 8 8 8 8\n8 8 8 8 5 8 8 6 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 0 8 8 8\n8 8 8 8 8 8 8 8 8 7 8 0 8\n8 8 8 8 8 8 8 8 8 8 8 5 8\nOutput:\n8 8 8 8 8 8 4 8 8 8 8 9 8\n8 8 8 9 8 8 4 8 8 8 8 8 8\n8 8 8 1 8 8 4 8 8 8 2 8 8\n8 8 8 8 8 8 4 8 8 6 8 8 8\n8 8 8 8 8 8 4 8 8 8 8 8 8\n5 1 8 8 8 8 4 2 8 8 2 8 8\n8 8 8 8 8 4 4 4 8 8 8 8 8\n4 4 4 4 4 4 4 4 4 4 4 4 4\n8 8 7 8 8 4 4 4 8 8 8 8 8\n1 8 8 8 0 2 4 8 8 8 8 8 8\n8 8 8 8 5 8 4 6 8 8 8 8 8\n8 8 8 8 8 8 4 8 8 0 8 8 8\n8 8 8 8 8 8 4 8 8 7 8 0 8\n8 8 8 8 8 8 4 8 8 8 8 5 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 1 8 8 8 8 8 8 4\n8 8 8 8 8 4 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 7 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 1 1 1 8 8 8\n8 3 8 8 8 8 8 8 8 0 8 8 1 1 1 8 8 8\n8 8 8 8 8 8 9 8 8 8 8 8 1 1 1 8 7 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 2 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 8\n8 8 8 9 8 8 9 9 9 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8\n8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 5 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 1 8 8 8 8 8 8 8 8 8\nOutput:\n8 8 8 8 8 8 8 9 8 8 8 8 8 1 8 8 8 8\n8 8 8 8 8 8 8 9 8 8 1 8 8 1 8 8 8 4\n8 8 8 8 8 4 8 9 8 8 8 8 8 1 8 8 8 8\n8 8 8 8 8 8 8 9 8 8 8 8 8 1 7 8 8 8\n8 8 8 8 8 8 8 9 8 8 8 8 1 1 1 8 8 8\n1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 1\n8 8 8 8 8 8 9 9 8 8 8 8 1 1 1 8 7 8\n8 8 8 8 8 8 8 9 8 8 8 8 8 1 8 8 8 5\n8 8 8 8 8 8 8 9 8 8 8 8 8 1 8 8 8 8\n8 8 2 8 8 7 8 9 8 8 8 8 8 1 8 8 8 8\n8 8 8 8 8 8 9 9 9 8 8 8 8 1 8 8 9 8\n9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9\n8 8 8 8 8 8 9 9 9 8 8 8 8 1 8 8 8 8\n8 8 8 8 5 8 8 9 8 8 8 8 8 1 8 8 8 8\n8 8 8 8 8 8 8 9 8 5 8 8 8 1 8 8 8 8\n8 8 8 8 8 8 8 9 8 8 8 8 8 1 8 8 8 8\n8 8 8 8 8 8 8 9 1 8 8 8 8 1 8 8 8 8\n\nExample 3:\n\nInput:\n8 8 8 8 8 8 8 8 6 8 8 8 8 4 8 8 8 8\n8 8 8 8 8 4 8 8 8 9 8 8 8 8 8 0 0 0\n2 0 8 8 7 8 8 8 8 8 8 8 8 8 8 0 0 0\n8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 0 0 0\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 4 8 8 8 8 8 8 8 8 8 0 8 8 8\n8 8 8 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 4 6 6 6 8 8 8 8 8 8 8 8 8 0 8 8\n8 8 8 6 6 6 8 8 8 8 8 8 8 8 8 8 4 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 8 8 8\n8 3 8 8 8 9 8 8 9 8 8 8 8 8 8 8 8 8\n9 8 8 8 4 8 8 8 8 8 8 8 8 8 8 0 8 8\n2 8 8 1 8 8 8 1 7 8 8 8 8 8 8 8 8 8\n8 8 4 8 8 8 8 8 8 4 8 9 9 9 8 8 8 8\n8 8 8 8 8 8 8 8 8 1 8 9 9 9 2 0 8 8\n8 8 7 8 8 8 8 8 8 8 8 9 9 9 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8\nOutput:\n8 8 8 8 6 8 8 8 6 8 8 8 9 4 8 8 0 8\n8 8 8 8 6 4 8 8 8 9 8 8 9 8 8 0 0 0\n0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0\n8 8 5 8 6 8 8 8 8 8 8 8 9 8 8 0 0 0\n8 8 8 8 6 8 8 8 8 8 8 8 9 8 8 8 0 8\n8 8 8 8 6 8 8 8 8 8 8 8 9 8 0 8 0 8\n8 8 8 6 6 6 8 8 8 8 8 8 9 8 8 8 0 8\n6 6 6 6 6 6 6 6 6 6 6 6 8 6 6 6 8 6\n8 8 8 6 6 6 8 8 8 8 8 8 9 8 8 8 0 8\n8 8 8 8 6 8 8 8 8 8 8 8 9 8 2 8 0 8\n8 3 8 8 6 9 8 8 9 8 8 8 9 8 8 8 0 8\n9 8 8 8 6 8 8 8 8 8 8 8 9 8 8 0 0 8\n2 8 8 1 6 8 8 1 7 8 8 8 9 8 8 8 0 8\n8 8 4 8 6 8 8 8 8 4 8 9 9 9 8 8 0 8\n9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 8 9\n8 8 7 8 6 8 8 8 8 8 8 9 9 9 8 8 0 8\n8 8 8 8 6 8 8 8 8 8 8 8 9 8 8 8 0 8\n8 8 8 2 6 8 8 8 8 8 8 8 9 8 8 8 0 8\n\nExample 4:\n\nInput:\n8 8 9 8 6 1 8 8 8 8 8 8 8 9\n8 8 8 9 8 9 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 6 8 8 2\n8 8 8 8 0 8 8 8 8 8 8 8 8 8\n3 8 8 8 8 8 0 8 4 8 8 8 8 8\n8 8 0 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 0 8\n8 8 8 8 8 8 8 8 8 8 8 9 8 8\n8 0 8 0 0 0 8 8 8 8 8 8 8 8\n8 8 8 0 0 0 8 8 8 8 8 8 8 8\n8 8 8 0 0 0 8 8 8 9 8 8 8 8\n8 8 8 8 8 8 8 1 8 8 7 7 7 8\n8 8 8 8 8 8 8 6 8 8 7 7 7 8\n8 8 7 6 3 8 0 8 8 8 7 7 7 8\n8 8 8 8 8 8 8 6 8 2 8 8 8 8\n8 8 8 8 8 8 0 8 8 8 8 8 8 8\n6 9 8 8 8 8 8 8 8 8 9 8 8 8\n8 8 8 8 8 8 9 1 8 8 8 8 8 8\nOutput:\n8 8 9 8 0 1 8 8 8 8 8 7 8 9\n8 8 8 9 0 9 8 8 8 8 8 7 8 8\n8 8 8 8 0 8 8 8 8 8 6 7 8 2\n8 8 8 8 0 8 8 8 8 8 8 7 8 8\n3 8 8 8 0 8 0 8 4 8 8 7 8 8\n8 8 0 8 0 8 8 8 8 8 8 7 8 8\n8 8 8 8 0 8 8 8 8 8 8 7 0 8\n8 8 8 8 0 8 8 8 8 8 8 7 8 8\n8 0 8 0 0 0 8 8 8 8 8 7 8 8\n0 0 0 0 0 0 0 0 0 0 0 8 0 0\n8 8 8 0 0 0 8 8 8 9 8 7 8 8\n8 8 8 8 0 8 8 1 8 8 7 7 7 8\n7 7 7 7 8 7 7 7 7 7 7 7 7 7\n8 8 7 6 0 8 0 8 8 8 7 7 7 8\n8 8 8 8 0 8 8 6 8 2 8 7 8 8\n8 8 8 8 0 8 0 8 8 8 8 7 8 8\n6 9 8 8 0 8 8 8 8 8 9 7 8 8\n8 8 8 8 0 8 9 1 8 8 8 7 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 3 8 8 8 6 8 8 8 8 8 8 8\n0 8 4 8 8 8 8 8 8 8 8 9 8 8 8 8 4 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 7 8\n8 8 6 6 5 5 8 8 4 8 8 8 8 8 8 8 8 8 8\n1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n1 1 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n1 1 1 8 8 8 8 8 9 8 8 8 8 8 2 8 8 8 8\n8 8 8 8 8 8 8 7 8 8 8 8 8 6 8 8 8 7 8\n8 8 7 8 4 8 8 8 8 8 8 8 8 8 8 2 4 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8\n8 8 5 8 8 8 8 8 8 8 8 8 4 9 9 9 3 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 4\n8 8 1 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 6 8 8 8 8 8 8 8 8 8 8 8 9 8 8\n8 3 8 8 8 1 4 4 4 8 8 8 2 8 8 8 8 8 8\n8 8 8 8 8 8 4 4 4 8 8 8 8 8 6 8 8 8 8\n2 8 8 8 8 1 4 4 4 8 8 8 8 8 8 8 8 8 8\n4 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 7 8 8\n", "answer": "8 1 8 8 8 8 8 4 8 8 8 6 8 8 9 8 8 8 8\n0 1 4 8 8 8 8 4 8 8 8 9 8 8 9 8 4 8 8\n8 1 8 8 8 8 8 4 8 8 8 8 1 8 9 8 8 7 8\n8 1 6 6 5 5 8 4 4 8 8 8 8 8 9 8 8 8 8\n1 1 1 8 8 8 8 4 8 8 8 8 8 8 9 8 8 8 8\n1 1 1 1 1 1 1 8 1 1 1 1 1 1 8 1 1 1 1\n1 1 1 8 8 8 8 4 9 8 8 8 8 8 9 8 8 8 8\n8 1 8 8 8 8 8 4 8 8 8 8 8 6 9 8 8 7 8\n8 1 7 8 4 8 8 4 8 8 8 8 8 8 9 2 4 8 8\n8 1 8 8 8 8 8 4 8 8 8 8 8 9 9 9 8 8 8\n9 8 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9\n8 1 8 8 8 8 8 4 8 8 8 8 8 9 9 9 8 7 4\n8 1 1 8 8 8 4 4 8 8 8 8 8 8 9 8 8 8 8\n8 1 8 8 6 8 8 4 8 8 8 8 8 8 9 8 9 8 8\n8 1 8 8 8 1 4 4 4 8 8 8 2 8 9 8 8 8 8\n4 8 4 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4 4\n2 1 8 8 8 1 4 4 4 8 8 8 8 8 9 8 8 8 8\n4 1 8 8 8 8 8 4 8 8 0 8 8 8 9 8 8 8 8\n8 1 8 8 8 8 8 4 8 8 8 8 9 8 9 8 7 8 8", "metadata": {"source_dataset": "arc_agi", "source_index": 157, "input": [[8, 8, 8, 8, 8, 8, 8, 3, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8], [0, 8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 4, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 7, 8], [8, 8, 6, 6, 5, 5, 8, 8, 4, 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], [1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [1, 1, 1, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 2, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 6, 8, 8, 8, 7, 8], [8, 8, 7, 8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 4, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 8, 8, 8], [8, 8, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 9, 9, 9, 3, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 8, 7, 4], [8, 8, 1, 8, 8, 8, 4, 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, 9, 8, 8], [8, 3, 8, 8, 8, 1, 4, 4, 4, 8, 8, 8, 2, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8], [2, 8, 8, 8, 8, 1, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 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, 9, 8, 8, 8, 7, 8, 8]], "output": [[8, 1, 8, 8, 8, 8, 8, 4, 8, 8, 8, 6, 8, 8, 9, 8, 8, 8, 8], [0, 1, 4, 8, 8, 8, 8, 4, 8, 8, 8, 9, 8, 8, 9, 8, 4, 8, 8], [8, 1, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 1, 8, 9, 8, 8, 7, 8], [8, 1, 6, 6, 5, 5, 8, 4, 4, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8], [1, 1, 1, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8], [1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1], [1, 1, 1, 8, 8, 8, 8, 4, 9, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8], [8, 1, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 6, 9, 8, 8, 7, 8], [8, 1, 7, 8, 4, 8, 8, 4, 8, 8, 8, 8, 8, 8, 9, 2, 4, 8, 8], [8, 1, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 9, 9, 9, 8, 8, 8], [9, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 1, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 9, 9, 9, 8, 7, 4], [8, 1, 1, 8, 8, 8, 4, 4, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8], [8, 1, 8, 8, 6, 8, 8, 4, 8, 8, 8, 8, 8, 8, 9, 8, 9, 8, 8], [8, 1, 8, 8, 8, 1, 4, 4, 4, 8, 8, 8, 2, 8, 9, 8, 8, 8, 8], [4, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 4, 4, 4, 4], [2, 1, 8, 8, 8, 1, 4, 4, 4, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8], [4, 1, 8, 8, 8, 8, 8, 4, 8, 8, 0, 8, 8, 8, 9, 8, 8, 8, 8], [8, 1, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 9, 8, 9, 8, 7, 8, 8]], "task_id": "e9bb6954", "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": 157, "input": [[8, 8, 8, 8, 8, 8, 8, 3, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8], [0, 8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 4, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 7, 8], [8, 8, 6, 6, 5, 5, 8, 8, 4, 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], [1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [1, 1, 1, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 2, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 6, 8, 8, 8, 7, 8], [8, 8, 7, 8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 4, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 8, 8, 8], [8, 8, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 9, 9, 9, 3, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 8, 7, 4], [8, 8, 1, 8, 8, 8, 4, 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, 9, 8, 8], [8, 3, 8, 8, 8, 1, 4, 4, 4, 8, 8, 8, 2, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8], [2, 8, 8, 8, 8, 1, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 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, 9, 8, 8, 8, 7, 8, 8]], "output": [[8, 1, 8, 8, 8, 8, 8, 4, 8, 8, 8, 6, 8, 8, 9, 8, 8, 8, 8], [0, 1, 4, 8, 8, 8, 8, 4, 8, 8, 8, 9, 8, 8, 9, 8, 4, 8, 8], [8, 1, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 1, 8, 9, 8, 8, 7, 8], [8, 1, 6, 6, 5, 5, 8, 4, 4, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8], [1, 1, 1, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8], [1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1], [1, 1, 1, 8, 8, 8, 8, 4, 9, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8], [8, 1, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 6, 9, 8, 8, 7, 8], [8, 1, 7, 8, 4, 8, 8, 4, 8, 8, 8, 8, 8, 8, 9, 2, 4, 8, 8], [8, 1, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 9, 9, 9, 8, 8, 8], [9, 8, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [8, 1, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 9, 9, 9, 8, 7, 4], [8, 1, 1, 8, 8, 8, 4, 4, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8], [8, 1, 8, 8, 6, 8, 8, 4, 8, 8, 8, 8, 8, 8, 9, 8, 9, 8, 8], [8, 1, 8, 8, 8, 1, 4, 4, 4, 8, 8, 8, 2, 8, 9, 8, 8, 8, 8], [4, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 4, 4, 4, 4], [2, 1, 8, 8, 8, 1, 4, 4, 4, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8], [4, 1, 8, 8, 8, 8, 8, 4, 8, 8, 0, 8, 8, 8, 9, 8, 8, 8, 8], [8, 1, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 9, 8, 9, 8, 7, 8, 8]], "task_id": "e9bb6954", "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 6 6 6 6 6 6 6 6 6 6 5 5 6 1 1 1 1 1 1 1 1 6 5 5 6 1 2 2 2 2 2 2 1 6 5 5 6 1 2 7 7 7 7 2 1 6 5 5 6 1 2 7 9 9 7 2 1 6 5 5 6 1 2 7 9 9 7 2 1 6 5 5 6 1 2 7 7 7 7 2 1 6 5 5 6 1 2 2 2 2 2 2 1 6 5 5 6 1 1 1 1 1 1 1 1 6 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 Output: 9 9 9 9 9 9 9 9 9 9 9 9 9 7 7 7 7 7 7 7 7 7 7 9 9 7 2 2 2 2 2 2 2 2 7 9 9 7 2 1 1 1 1 1 1 2 7 9 9 7 2 1 6 6 6 6 1 2 7 9 9 7 2 1 6 5 5 6 1 2 7 9 9 7 2 1 6 5 5 6 1 2 7 9 9 7 2 1 6 6 6 6 1 2 7 9 9 7 2 1 1 1 1 1 1 2 7 9 9 7 2 2 2 2 2 2 2 2 7 9 9 7 7 7 7 7 7 7 7 7 7 9 9 9 9 9 9 9 9 9 9 9 9 9 Example 2: Input: 6 6 6 6 6 6 6 1 1 1 1 6 6 1 4 4 1 6 6 1 4 4 1 6 6 1 1 1 1 6 6 6 6 6 6 6 Output: 4 4 4 4 4 4 4 1 1 1 1 4 4 1 6 6 1 4 4 1 6 6 1 4 4 1 1 1 1 4 4 4 4 4 4 4 Example 3: Input: 3 3 3 3 3 3 3 3 3 3 3 6 6 6 6 6 6 6 6 3 3 6 5 5 5 5 5 5 6 3 3 6 5 1 1 1 1 5 6 3 3 6 5 1 2 2 1 5 6 3 3 6 5 1 2 2 1 5 6 3 3 6 5 1 1 1 1 5 6 3 3 6 5 5 5 5 5 5 6 3 3 6 6 6 6 6 6 6 6 3 3 3 3 3 3 3 3 3 3 3 Output: 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 1 5 5 5 5 5 5 1 2 2 1 5 6 6 6 6 5 1 2 2 1 5 6 3 3 6 5 1 2 2 1 5 6 3 3 6 5 1 2 2 1 5 6 6 6 6 5 1 2 2 1 5 5 5 5 5 5 1 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 Example 4: Input: 9 9 9 9 9 9 9 9 9 1 1 1 1 1 1 9 9 1 6 6 6 6 1 9 9 1 6 5 5 6 1 9 9 1 6 5 5 6 1 9 9 1 6 6 6 6 1 9 9 1 1 1 1 1 1 9 9 9 9 9 9 9 9 9 Output: 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 6 1 1 1 1 6 5 5 6 1 9 9 1 6 5 5 6 1 9 9 1 6 5 5 6 1 1 1 1 6 5 5 6 6 6 6 6 6 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: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 6 6 6 6 6 6 6 6 6 6 6 9 9 6 5 5 5 5 5 5 5 5 5 5 6 9 9 6 5 2 2 2 2 2 2 2 2 5 6 9 9 6 5 2 3 3 3 3 3 3 2 5 6 9 9 6 5 2 3 4 4 4 4 3 2 5 6 9 9 6 5 2 3 4 7 7 4 3 2 5 6 9 9 6 5 2 3 4 7 7 4 3 2 5 6 9 9 6 5 2 3 4 4 4 4 3 2 5 6 9 9 6 5 2 3 3 3 3 3 3 2 5 6 9 9 6 5 2 2 2 2 2 2 2 2 5 6 9 9 6 5 5 5 5 5 5 5 5 5 5 6 9 9 6 6 6 6 6 6 6 6 6 6 6 6 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 7 7 7 7 7 7 7 7 7 7 7\n7 4 4 4 4 4 4 4 4 4 4 4 4 7\n7 4 3 3 3 3 3 3 3 3 3 3 4 7\n7 4 3 2 2 2 2 2 2 2 2 3 4 7\n7 4 3 2 5 5 5 5 5 5 2 3 4 7\n7 4 3 2 5 6 6 6 6 5 2 3 4 7\n7 4 3 2 5 6 9 9 6 5 2 3 4 7\n7 4 3 2 5 6 9 9 6 5 2 3 4 7\n7 4 3 2 5 6 6 6 6 5 2 3 4 7\n7 4 3 2 5 5 5 5 5 5 2 3 4 7\n7 4 3 2 2 2 2 2 2 2 2 3 4 7\n7 4 3 3 3 3 3 3 3 3 3 3 4 7\n7 4 4 4 4 4 4 4 4 4 4 4 4 7\n7 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:\n5 5 5 5 5 5 5 5 5 5 5 5\n5 6 6 6 6 6 6 6 6 6 6 5\n5 6 1 1 1 1 1 1 1 1 6 5\n5 6 1 2 2 2 2 2 2 1 6 5\n5 6 1 2 7 7 7 7 2 1 6 5\n5 6 1 2 7 9 9 7 2 1 6 5\n5 6 1 2 7 9 9 7 2 1 6 5\n5 6 1 2 7 7 7 7 2 1 6 5\n5 6 1 2 2 2 2 2 2 1 6 5\n5 6 1 1 1 1 1 1 1 1 6 5\n5 6 6 6 6 6 6 6 6 6 6 5\n5 5 5 5 5 5 5 5 5 5 5 5\nOutput:\n9 9 9 9 9 9 9 9 9 9 9 9\n9 7 7 7 7 7 7 7 7 7 7 9\n9 7 2 2 2 2 2 2 2 2 7 9\n9 7 2 1 1 1 1 1 1 2 7 9\n9 7 2 1 6 6 6 6 1 2 7 9\n9 7 2 1 6 5 5 6 1 2 7 9\n9 7 2 1 6 5 5 6 1 2 7 9\n9 7 2 1 6 6 6 6 1 2 7 9\n9 7 2 1 1 1 1 1 1 2 7 9\n9 7 2 2 2 2 2 2 2 2 7 9\n9 7 7 7 7 7 7 7 7 7 7 9\n9 9 9 9 9 9 9 9 9 9 9 9\n\nExample 2:\n\nInput:\n6 6 6 6 6 6\n6 1 1 1 1 6\n6 1 4 4 1 6\n6 1 4 4 1 6\n6 1 1 1 1 6\n6 6 6 6 6 6\nOutput:\n4 4 4 4 4 4\n4 1 1 1 1 4\n4 1 6 6 1 4\n4 1 6 6 1 4\n4 1 1 1 1 4\n4 4 4 4 4 4\n\nExample 3:\n\nInput:\n3 3 3 3 3 3 3 3 3 3\n3 6 6 6 6 6 6 6 6 3\n3 6 5 5 5 5 5 5 6 3\n3 6 5 1 1 1 1 5 6 3\n3 6 5 1 2 2 1 5 6 3\n3 6 5 1 2 2 1 5 6 3\n3 6 5 1 1 1 1 5 6 3\n3 6 5 5 5 5 5 5 6 3\n3 6 6 6 6 6 6 6 6 3\n3 3 3 3 3 3 3 3 3 3\nOutput:\n2 2 2 2 2 2 2 2 2 2\n2 1 1 1 1 1 1 1 1 2\n2 1 5 5 5 5 5 5 1 2\n2 1 5 6 6 6 6 5 1 2\n2 1 5 6 3 3 6 5 1 2\n2 1 5 6 3 3 6 5 1 2\n2 1 5 6 6 6 6 5 1 2\n2 1 5 5 5 5 5 5 1 2\n2 1 1 1 1 1 1 1 1 2\n2 2 2 2 2 2 2 2 2 2\n\nExample 4:\n\nInput:\n9 9 9 9 9 9 9 9\n9 1 1 1 1 1 1 9\n9 1 6 6 6 6 1 9\n9 1 6 5 5 6 1 9\n9 1 6 5 5 6 1 9\n9 1 6 6 6 6 1 9\n9 1 1 1 1 1 1 9\n9 9 9 9 9 9 9 9\nOutput:\n5 5 5 5 5 5 5 5\n5 6 6 6 6 6 6 5\n5 6 1 1 1 1 6 5\n5 6 1 9 9 1 6 5\n5 6 1 9 9 1 6 5\n5 6 1 1 1 1 6 5\n5 6 6 6 6 6 6 5\n5 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:\n9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 6 6 6 6 6 6 6 6 6 6 6 9\n9 6 5 5 5 5 5 5 5 5 5 5 6 9\n9 6 5 2 2 2 2 2 2 2 2 5 6 9\n9 6 5 2 3 3 3 3 3 3 2 5 6 9\n9 6 5 2 3 4 4 4 4 3 2 5 6 9\n9 6 5 2 3 4 7 7 4 3 2 5 6 9\n9 6 5 2 3 4 7 7 4 3 2 5 6 9\n9 6 5 2 3 4 4 4 4 3 2 5 6 9\n9 6 5 2 3 3 3 3 3 3 2 5 6 9\n9 6 5 2 2 2 2 2 2 2 2 5 6 9\n9 6 5 5 5 5 5 5 5 5 5 5 6 9\n9 6 6 6 6 6 6 6 6 6 6 6 6 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9\n", "answer": "7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 4 4 4 4 4 4 4 4 4 4 4 4 7\n7 4 3 3 3 3 3 3 3 3 3 3 4 7\n7 4 3 2 2 2 2 2 2 2 2 3 4 7\n7 4 3 2 5 5 5 5 5 5 2 3 4 7\n7 4 3 2 5 6 6 6 6 5 2 3 4 7\n7 4 3 2 5 6 9 9 6 5 2 3 4 7\n7 4 3 2 5 6 9 9 6 5 2 3 4 7\n7 4 3 2 5 6 6 6 6 5 2 3 4 7\n7 4 3 2 5 5 5 5 5 5 2 3 4 7\n7 4 3 2 2 2 2 2 2 2 2 3 4 7\n7 4 3 3 3 3 3 3 3 3 3 3 4 7\n7 4 4 4 4 4 4 4 4 4 4 4 4 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7", "metadata": {"source_dataset": "arc_agi", "source_index": 158, "input": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9], [9, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 9], [9, 6, 5, 2, 2, 2, 2, 2, 2, 2, 2, 5, 6, 9], [9, 6, 5, 2, 3, 3, 3, 3, 3, 3, 2, 5, 6, 9], [9, 6, 5, 2, 3, 4, 4, 4, 4, 3, 2, 5, 6, 9], [9, 6, 5, 2, 3, 4, 7, 7, 4, 3, 2, 5, 6, 9], [9, 6, 5, 2, 3, 4, 7, 7, 4, 3, 2, 5, 6, 9], [9, 6, 5, 2, 3, 4, 4, 4, 4, 3, 2, 5, 6, 9], [9, 6, 5, 2, 3, 3, 3, 3, 3, 3, 2, 5, 6, 9], [9, 6, 5, 2, 2, 2, 2, 2, 2, 2, 2, 5, 6, 9], [9, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 9], [9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [7, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 7], [7, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 7], [7, 4, 3, 2, 5, 5, 5, 5, 5, 5, 2, 3, 4, 7], [7, 4, 3, 2, 5, 6, 6, 6, 6, 5, 2, 3, 4, 7], [7, 4, 3, 2, 5, 6, 9, 9, 6, 5, 2, 3, 4, 7], [7, 4, 3, 2, 5, 6, 9, 9, 6, 5, 2, 3, 4, 7], [7, 4, 3, 2, 5, 6, 6, 6, 6, 5, 2, 3, 4, 7], [7, 4, 3, 2, 5, 5, 5, 5, 5, 5, 2, 3, 4, 7], [7, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 7], [7, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 7], [7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "task_id": "85c4e7cd", "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": 158, "input": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9], [9, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 9], [9, 6, 5, 2, 2, 2, 2, 2, 2, 2, 2, 5, 6, 9], [9, 6, 5, 2, 3, 3, 3, 3, 3, 3, 2, 5, 6, 9], [9, 6, 5, 2, 3, 4, 4, 4, 4, 3, 2, 5, 6, 9], [9, 6, 5, 2, 3, 4, 7, 7, 4, 3, 2, 5, 6, 9], [9, 6, 5, 2, 3, 4, 7, 7, 4, 3, 2, 5, 6, 9], [9, 6, 5, 2, 3, 4, 4, 4, 4, 3, 2, 5, 6, 9], [9, 6, 5, 2, 3, 3, 3, 3, 3, 3, 2, 5, 6, 9], [9, 6, 5, 2, 2, 2, 2, 2, 2, 2, 2, 5, 6, 9], [9, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 9], [9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [7, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 7], [7, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 7], [7, 4, 3, 2, 5, 5, 5, 5, 5, 5, 2, 3, 4, 7], [7, 4, 3, 2, 5, 6, 6, 6, 6, 5, 2, 3, 4, 7], [7, 4, 3, 2, 5, 6, 9, 9, 6, 5, 2, 3, 4, 7], [7, 4, 3, 2, 5, 6, 9, 9, 6, 5, 2, 3, 4, 7], [7, 4, 3, 2, 5, 6, 6, 6, 6, 5, 2, 3, 4, 7], [7, 4, 3, 2, 5, 5, 5, 5, 5, 5, 2, 3, 4, 7], [7, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 3, 4, 7], [7, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 7], [7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "task_id": "85c4e7cd", "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 2 3 3 3 3 3 3 3 2 3 2 3 3 3 3 2 3 2 3 3 3 3 3 3 3 2 3 3 3 3 3 3 2 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 3 3 3 3 3 3 3 3 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 2 2 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 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 2 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 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 Output: 2 3 2 3 3 2 3 3 2 3 3 2 3 2 3 2 2 3 3 2 3 3 3 3 3 3 3 3 3 2 3 3 2 3 2 2 2 2 3 3 2 2 3 2 3 3 2 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 3 3 3 3 3 3 3 3 3 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 3 3 3 3 3 3 2 3 2 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 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 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 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 2 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 2 2 2 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 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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: 2 2 2 3 2 2 2 2 2 2 3 2 3 2 2 2 2 3 2 2 2 3 3 3 3 3 3 3 3 3 2 3 2 3 2 2 2 3 3 3 2 3 3 3 2 3 2 2 2 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 2 2 3 3 3 3 3 2 3 2 3 3 3 3 3 3 3 3 2 3 2 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 2 2 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 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 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 2 3 2 3 3 3 3 2 3 2 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 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 2 2 3 2 3 2 2 3 2 3 2 2 3 3 2 2 3 2 3 3 3 3 3 3 3 3 3 3 2 2 3 2 2 2 3 2 3 3 2 3 2 2 3 2 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 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 2 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 2 3 3 3 3 3 2 2 2 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 2 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 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 2 3 2 3 3 3 3 3 2 3 2 3 3 3 3 3 3 2 2 2 3 3 3 3 3 2 3 2 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 3 3 3 3 3 3 3 3 3
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 3 3 3 2 3 2\n2 2 3 3 3 2 3\n2 3 2 3 2 2 2\n3 3 3 3 3 3 3\n2 2 2 3 2 3 2\n2 3 2 3 2 2 2\n2 3 2 3 3 3 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:\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 3 3 3 3 2 3 3\n3 3 3 3 3 2 3 2 3 3 3 3 2 3 2 3\n3 3 3 3 3 3 2 3 3 3 3 3 3 2 3 3\n3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3\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 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 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\n3 3 3 3 3 3 3 3 3 3 2 3 2 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3\n3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3\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 3 3 3 3 3 3 3\nOutput:\n2 3 2 3 3 2 3\n3 2 3 3 2 3 2\n3 2 2 3 3 2 3\n3 3 3 3 3 3 3\n3 2 3 3 2 3 2\n2 2 2 3 3 2 2\n3 2 3 3 2 3 3\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 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 2 2 2 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 2 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3\n3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 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 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 2 3 2 3 3 3 3 3\n3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3\n3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3 3\n3 3 3 3 3 3 2 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\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\nOutput:\n2 2 2 3 2 2 2\n2 2 2 3 2 3 2\n2 2 2 3 2 2 2\n3 3 3 3 3 3 3\n3 3 2 3 2 3 2\n2 2 3 3 3 2 3\n3 3 2 3 2 2 2\n\nExample 3:\n\nInput:\n3 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\n3 3 3 3 3 3 2 2 3 3 3 3 3 2 3 2 3 3 3\n3 3 3 3 3 2 3 2 3 3 3 3 3 2 2 3 3 3 3\n3 3 3 3 3 3 2 2 3 3 3 3 3 2 3 3 3 3 3\n3 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\n3 3 3 3 3 3 3 3 3 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\n3 3 3 3 2 3 3 3 3 3 2 2 2 3 3 3 3 3 3\n3 3 3 2 3 2 3 3 3 3 2 3 2 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 2 2 2 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\n3 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\n3 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\nOutput:\n3 2 2 3 2 3 2\n2 3 2 3 2 2 3\n3 2 2 3 2 3 3\n3 3 3 3 3 3 3\n3 2 2 3 2 2 2\n3 2 3 3 2 3 2\n2 3 2 3 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:\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 3 3 3 3\n3 3 3 3 3 3 3 3 2 3 2 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3\n3 3 2 3 3 3 3 3 2 2 2 3 3 3 3 3 3\n3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 2 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\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 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 2 2 2 3 3 3 3 3 3 2 3 2 3\n3 3 3 3 2 3 2 3 3 3 3 3 3 2 2 2 3\n3 3 3 3 2 3 2 3 3 3 3 3 3 3 3 2 3\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 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n", "answer": "2 3 3 3 2 3 2\n2 2 3 3 3 2 3\n2 3 2 3 2 2 2\n3 3 3 3 3 3 3\n2 2 2 3 2 3 2\n2 3 2 3 2 2 2\n2 3 2 3 3 3 2", "metadata": {"source_dataset": "arc_agi", "source_index": 159, "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, 2, 3, 2, 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, 2, 3, 3, 3, 3, 3, 2, 2, 2, 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, 2, 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, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 2, 3, 2, 3], [3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3], [3, 3, 3, 3, 2, 3, 2, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3]], "output": [[2, 3, 3, 3, 2, 3, 2], [2, 2, 3, 3, 3, 2, 3], [2, 3, 2, 3, 2, 2, 2], [3, 3, 3, 3, 3, 3, 3], [2, 2, 2, 3, 2, 3, 2], [2, 3, 2, 3, 2, 2, 2], [2, 3, 2, 3, 3, 3, 2]], "task_id": "1990f7a8", "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": 159, "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, 2, 3, 2, 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, 2, 3, 3, 3, 3, 3, 2, 2, 2, 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, 2, 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, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 2, 3, 2, 3], [3, 3, 3, 3, 2, 3, 2, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3], [3, 3, 3, 3, 2, 3, 2, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3]], "output": [[2, 3, 3, 3, 2, 3, 2], [2, 2, 3, 3, 3, 2, 3], [2, 3, 2, 3, 2, 2, 2], [3, 3, 3, 3, 3, 3, 3], [2, 2, 2, 3, 2, 3, 2], [2, 3, 2, 3, 2, 2, 2], [2, 3, 2, 3, 3, 3, 2]], "task_id": "1990f7a8", "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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 0 0 0 0 0 0 0 0 3 0 0 0 0 3 0 0 0 0 0 0 0 0 3 0 0 0 0 3 0 0 0 0 0 0 0 0 3 0 1 5 0 3 0 0 0 0 0 0 0 0 3 0 8 6 0 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 3 3 3 3 3 3 3 1 1 5 5 3 3 1 1 5 5 3 3 8 8 6 6 3 3 8 8 6 6 3 3 3 3 3 3 3 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 0 3 3 3 3 3 3 3 3 3 3 0 0 0 0 3 0 0 0 0 0 0 0 0 3 0 0 0 0 3 0 0 0 0 0 0 0 0 3 0 0 0 0 3 0 0 0 0 0 0 0 0 3 0 0 0 0 3 0 0 0 1 1 9 9 0 3 0 0 0 0 3 0 0 0 1 1 9 9 0 3 0 0 0 0 3 0 0 0 7 7 6 6 0 3 0 0 0 0 3 0 0 0 7 7 6 6 0 3 0 0 0 0 3 0 0 0 0 0 0 0 0 3 0 0 0 0 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 3 3 3 3 3 3 3 3 3 3 3 1 1 1 1 9 9 9 9 3 3 1 1 1 1 9 9 9 9 3 3 1 1 1 1 9 9 9 9 3 3 1 1 1 1 9 9 9 9 3 3 7 7 7 7 6 6 6 6 3 3 7 7 7 7 6 6 6 6 3 3 7 7 7 7 6 6 6 6 3 3 7 7 7 7 6 6 6 6 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: 0 0 0 3 3 3 3 3 3 3 3 3 3 0 0 0 0 3 0 0 0 0 0 0 0 0 3 0 0 0 0 3 0 0 0 0 0 0 0 0 3 0 0 0 0 3 0 0 0 0 0 0 0 0 3 0 0 0 0 3 0 0 0 0 0 0 0 0 3 0 0 0 0 3 0 0 0 9 9 7 7 0 3 0 0 0 0 3 0 0 0 9 9 7 7 0 3 0 0 0 0 3 0 0 0 5 5 6 6 0 3 0 0 0 0 3 0 0 0 5 5 6 6 0 3 0 0 0 0 3 3 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 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 3 3 3 3 3 3 3\n3 9 9 9 9 7 7 7 7 3\n3 9 9 9 9 7 7 7 7 3\n3 9 9 9 9 7 7 7 7 3\n3 9 9 9 9 7 7 7 7 3\n3 5 5 5 5 6 6 6 6 3\n3 5 5 5 5 6 6 6 6 3\n3 5 5 5 5 6 6 6 6 3\n3 5 5 5 5 6 6 6 6 3\n3 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:\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 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 3 3 3 3 3 3 0 0 0 0\n0 0 0 0 3 0 0 0 0 3 0 0 0 0\n0 0 0 0 3 0 0 0 0 3 0 0 0 0\n0 0 0 0 3 0 1 5 0 3 0 0 0 0\n0 0 0 0 3 0 8 6 0 3 0 0 0 0\n0 0 0 0 3 3 3 3 3 3 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0\nOutput:\n3 3 3 3 3 3\n3 1 1 5 5 3\n3 1 1 5 5 3\n3 8 8 6 6 3\n3 8 8 6 6 3\n3 3 3 3 3 3\n\nExample 2:\n\nInput:\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 3 3 3 3 3 3 3 3 3 3 0 0\n0 0 3 0 0 0 0 0 0 0 0 3 0 0\n0 0 3 0 0 0 0 0 0 0 0 3 0 0\n0 0 3 0 0 0 0 0 0 0 0 3 0 0\n0 0 3 0 0 0 1 1 9 9 0 3 0 0\n0 0 3 0 0 0 1 1 9 9 0 3 0 0\n0 0 3 0 0 0 7 7 6 6 0 3 0 0\n0 0 3 0 0 0 7 7 6 6 0 3 0 0\n0 0 3 0 0 0 0 0 0 0 0 3 0 0\n0 0 3 3 3 3 3 3 3 3 3 3 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0\nOutput:\n3 3 3 3 3 3 3 3 3 3\n3 1 1 1 1 9 9 9 9 3\n3 1 1 1 1 9 9 9 9 3\n3 1 1 1 1 9 9 9 9 3\n3 1 1 1 1 9 9 9 9 3\n3 7 7 7 7 6 6 6 6 3\n3 7 7 7 7 6 6 6 6 3\n3 7 7 7 7 6 6 6 6 3\n3 7 7 7 7 6 6 6 6 3\n3 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:\n0 0 0 3 3 3 3 3 3 3 3 3 3 0\n0 0 0 3 0 0 0 0 0 0 0 0 3 0\n0 0 0 3 0 0 0 0 0 0 0 0 3 0\n0 0 0 3 0 0 0 0 0 0 0 0 3 0\n0 0 0 3 0 0 0 0 0 0 0 0 3 0\n0 0 0 3 0 0 0 9 9 7 7 0 3 0\n0 0 0 3 0 0 0 9 9 7 7 0 3 0\n0 0 0 3 0 0 0 5 5 6 6 0 3 0\n0 0 0 3 0 0 0 5 5 6 6 0 3 0\n0 0 0 3 3 3 3 3 3 3 3 3 3 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\n", "answer": "3 3 3 3 3 3 3 3 3 3\n3 9 9 9 9 7 7 7 7 3\n3 9 9 9 9 7 7 7 7 3\n3 9 9 9 9 7 7 7 7 3\n3 9 9 9 9 7 7 7 7 3\n3 5 5 5 5 6 6 6 6 3\n3 5 5 5 5 6 6 6 6 3\n3 5 5 5 5 6 6 6 6 3\n3 5 5 5 5 6 6 6 6 3\n3 3 3 3 3 3 3 3 3 3", "metadata": {"source_dataset": "arc_agi", "source_index": 160, "input": [[0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 3, 0, 0, 0, 9, 9, 7, 7, 0, 3, 0], [0, 0, 0, 3, 0, 0, 0, 9, 9, 7, 7, 0, 3, 0], [0, 0, 0, 3, 0, 0, 0, 5, 5, 6, 6, 0, 3, 0], [0, 0, 0, 3, 0, 0, 0, 5, 5, 6, 6, 0, 3, 0], [0, 0, 0, 3, 3, 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, 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, 3, 3, 3, 3, 3, 3, 3], [3, 9, 9, 9, 9, 7, 7, 7, 7, 3], [3, 9, 9, 9, 9, 7, 7, 7, 7, 3], [3, 9, 9, 9, 9, 7, 7, 7, 7, 3], [3, 9, 9, 9, 9, 7, 7, 7, 7, 3], [3, 5, 5, 5, 5, 6, 6, 6, 6, 3], [3, 5, 5, 5, 5, 6, 6, 6, 6, 3], [3, 5, 5, 5, 5, 6, 6, 6, 6, 3], [3, 5, 5, 5, 5, 6, 6, 6, 6, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3]], "task_id": "e7a25a18", "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": 160, "input": [[0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 3, 0, 0, 0, 9, 9, 7, 7, 0, 3, 0], [0, 0, 0, 3, 0, 0, 0, 9, 9, 7, 7, 0, 3, 0], [0, 0, 0, 3, 0, 0, 0, 5, 5, 6, 6, 0, 3, 0], [0, 0, 0, 3, 0, 0, 0, 5, 5, 6, 6, 0, 3, 0], [0, 0, 0, 3, 3, 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, 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, 3, 3, 3, 3, 3, 3, 3], [3, 9, 9, 9, 9, 7, 7, 7, 7, 3], [3, 9, 9, 9, 9, 7, 7, 7, 7, 3], [3, 9, 9, 9, 9, 7, 7, 7, 7, 3], [3, 9, 9, 9, 9, 7, 7, 7, 7, 3], [3, 5, 5, 5, 5, 6, 6, 6, 6, 3], [3, 5, 5, 5, 5, 6, 6, 6, 6, 3], [3, 5, 5, 5, 5, 6, 6, 6, 6, 3], [3, 5, 5, 5, 5, 6, 6, 6, 6, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3]], "task_id": "e7a25a18", "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 4 4 4 4 4 4 4 4 4 4 7 1 7 7 7 7 7 7 7 7 7 7 6 1 7 7 7 7 8 7 7 4 7 7 6 1 7 7 5 7 7 7 7 7 7 7 6 1 7 7 7 7 7 7 7 7 7 7 6 1 7 7 7 7 7 7 7 6 7 7 6 1 7 7 7 7 7 7 7 7 7 7 6 1 7 7 7 2 7 7 7 7 7 7 6 1 7 7 7 7 7 7 1 7 7 7 6 1 7 7 7 7 7 7 7 7 4 7 6 1 7 7 7 7 7 7 7 7 7 7 6 7 8 8 8 8 8 8 8 8 8 8 7 Output: 7 4 4 4 4 4 4 4 4 4 4 7 1 7 7 7 7 7 7 7 4 4 7 6 1 7 7 7 7 7 7 7 7 7 7 6 1 7 7 7 7 7 7 7 7 7 7 6 1 7 7 7 7 7 7 7 7 7 7 6 1 7 7 7 7 7 7 7 7 7 6 6 1 7 7 7 7 7 7 7 7 7 7 6 1 7 7 7 7 7 7 7 7 7 7 6 1 1 7 7 7 7 7 7 7 7 7 6 1 7 7 7 7 7 7 7 7 7 7 6 1 7 7 7 7 8 7 7 7 7 7 6 7 8 8 8 8 8 8 8 8 8 8 7 Example 2: Input: 7 5 5 5 5 5 5 5 5 5 5 5 5 5 7 1 7 7 7 7 7 7 7 7 7 7 7 7 7 2 1 7 7 7 7 7 7 7 7 6 7 1 7 7 2 1 7 7 7 7 5 7 7 7 7 7 7 7 7 2 1 7 7 2 7 7 7 7 7 7 7 7 7 7 2 1 7 7 7 7 7 7 4 7 7 7 7 7 7 2 1 7 7 1 7 7 7 7 7 7 7 7 7 7 2 1 7 7 7 7 7 7 7 7 7 2 7 7 7 2 1 7 7 7 7 7 7 7 7 7 7 7 7 7 2 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 Output: 7 5 5 5 5 5 5 5 5 5 5 5 5 5 7 1 7 7 7 7 5 7 7 7 7 7 7 7 7 2 1 1 7 7 7 7 7 7 7 7 7 7 7 7 2 1 7 7 7 7 7 7 7 7 7 7 7 7 7 2 1 7 7 7 7 7 7 7 7 7 7 7 7 2 2 1 7 7 7 7 7 7 7 7 7 7 7 7 7 2 1 1 7 7 7 7 7 7 7 7 7 7 7 7 2 1 7 7 7 7 7 7 7 7 7 7 7 7 2 2 1 7 7 7 7 7 7 7 7 6 7 7 7 7 2 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 Example 3: Input: 7 2 2 2 2 2 2 2 2 2 7 6 7 7 7 7 7 7 7 7 7 5 6 7 7 7 7 7 7 7 7 7 5 6 7 5 7 7 7 7 7 7 7 5 6 7 7 7 7 7 5 7 7 7 5 6 7 7 7 7 7 7 7 7 7 5 6 7 7 6 7 7 7 7 7 7 5 6 7 7 7 7 7 7 7 7 7 5 6 7 7 7 7 7 7 7 7 7 5 6 7 7 7 5 7 7 7 7 7 5 6 7 7 7 7 7 7 7 3 7 5 6 7 1 7 7 7 7 7 7 7 5 6 7 7 7 7 7 7 7 7 7 5 7 3 3 3 3 3 3 3 3 3 7 Output: 7 2 2 2 2 2 2 2 2 2 7 6 7 7 7 7 7 7 7 7 7 5 6 7 7 7 7 7 7 7 7 7 5 6 7 7 7 7 7 7 7 7 5 5 6 7 7 7 7 7 7 7 7 5 5 6 7 7 7 7 7 7 7 7 7 5 6 6 7 7 7 7 7 7 7 7 5 6 7 7 7 7 7 7 7 7 7 5 6 7 7 7 7 7 7 7 7 7 5 6 7 7 7 7 7 7 7 7 5 5 6 7 7 7 7 7 7 7 7 7 5 6 7 7 7 7 7 7 7 7 7 5 6 7 7 7 7 7 7 7 3 7 5 7 3 3 3 3 3 3 3 3 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: 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1 8 7 7 5 7 7 7 7 7 7 7 8 7 7 7 7 1 8 7 7 7 7 3 7 7 6 7 7 7 7 7 6 7 1 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1 8 7 7 7 1 7 7 7 7 7 7 7 7 7 7 7 1 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1 8 7 7 7 7 7 8 7 7 7 4 7 7 5 7 7 1 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1 8 7 7 1 7 7 7 7 7 7 7 7 7 7 2 7 1 8 7 7 7 7 7 7 5 7 7 7 7 8 7 7 7 1 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7\n8 7 7 5 7 7 7 5 7 7 7 7 7 5 7 7 1\n8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1\n8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1\n8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1\n8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1\n8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1 1\n8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1\n8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1\n8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1\n8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1 1\n8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1\n8 7 7 7 7 7 7 7 6 7 7 7 7 7 6 7 1\n7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 4 4 4 4 4 4 4 4 4 4 7\n1 7 7 7 7 7 7 7 7 7 7 6\n1 7 7 7 7 8 7 7 4 7 7 6\n1 7 7 5 7 7 7 7 7 7 7 6\n1 7 7 7 7 7 7 7 7 7 7 6\n1 7 7 7 7 7 7 7 6 7 7 6\n1 7 7 7 7 7 7 7 7 7 7 6\n1 7 7 7 2 7 7 7 7 7 7 6\n1 7 7 7 7 7 7 1 7 7 7 6\n1 7 7 7 7 7 7 7 7 4 7 6\n1 7 7 7 7 7 7 7 7 7 7 6\n7 8 8 8 8 8 8 8 8 8 8 7\nOutput:\n7 4 4 4 4 4 4 4 4 4 4 7\n1 7 7 7 7 7 7 7 4 4 7 6\n1 7 7 7 7 7 7 7 7 7 7 6\n1 7 7 7 7 7 7 7 7 7 7 6\n1 7 7 7 7 7 7 7 7 7 7 6\n1 7 7 7 7 7 7 7 7 7 6 6\n1 7 7 7 7 7 7 7 7 7 7 6\n1 7 7 7 7 7 7 7 7 7 7 6\n1 1 7 7 7 7 7 7 7 7 7 6\n1 7 7 7 7 7 7 7 7 7 7 6\n1 7 7 7 7 8 7 7 7 7 7 6\n7 8 8 8 8 8 8 8 8 8 8 7\n\nExample 2:\n\nInput:\n7 5 5 5 5 5 5 5 5 5 5 5 5 5 7\n1 7 7 7 7 7 7 7 7 7 7 7 7 7 2\n1 7 7 7 7 7 7 7 7 6 7 1 7 7 2\n1 7 7 7 7 5 7 7 7 7 7 7 7 7 2\n1 7 7 2 7 7 7 7 7 7 7 7 7 7 2\n1 7 7 7 7 7 7 4 7 7 7 7 7 7 2\n1 7 7 1 7 7 7 7 7 7 7 7 7 7 2\n1 7 7 7 7 7 7 7 7 7 2 7 7 7 2\n1 7 7 7 7 7 7 7 7 7 7 7 7 7 2\n7 6 6 6 6 6 6 6 6 6 6 6 6 6 7\nOutput:\n7 5 5 5 5 5 5 5 5 5 5 5 5 5 7\n1 7 7 7 7 5 7 7 7 7 7 7 7 7 2\n1 1 7 7 7 7 7 7 7 7 7 7 7 7 2\n1 7 7 7 7 7 7 7 7 7 7 7 7 7 2\n1 7 7 7 7 7 7 7 7 7 7 7 7 2 2\n1 7 7 7 7 7 7 7 7 7 7 7 7 7 2\n1 1 7 7 7 7 7 7 7 7 7 7 7 7 2\n1 7 7 7 7 7 7 7 7 7 7 7 7 2 2\n1 7 7 7 7 7 7 7 7 6 7 7 7 7 2\n7 6 6 6 6 6 6 6 6 6 6 6 6 6 7\n\nExample 3:\n\nInput:\n7 2 2 2 2 2 2 2 2 2 7\n6 7 7 7 7 7 7 7 7 7 5\n6 7 7 7 7 7 7 7 7 7 5\n6 7 5 7 7 7 7 7 7 7 5\n6 7 7 7 7 7 5 7 7 7 5\n6 7 7 7 7 7 7 7 7 7 5\n6 7 7 6 7 7 7 7 7 7 5\n6 7 7 7 7 7 7 7 7 7 5\n6 7 7 7 7 7 7 7 7 7 5\n6 7 7 7 5 7 7 7 7 7 5\n6 7 7 7 7 7 7 7 3 7 5\n6 7 1 7 7 7 7 7 7 7 5\n6 7 7 7 7 7 7 7 7 7 5\n7 3 3 3 3 3 3 3 3 3 7\nOutput:\n7 2 2 2 2 2 2 2 2 2 7\n6 7 7 7 7 7 7 7 7 7 5\n6 7 7 7 7 7 7 7 7 7 5\n6 7 7 7 7 7 7 7 7 5 5\n6 7 7 7 7 7 7 7 7 5 5\n6 7 7 7 7 7 7 7 7 7 5\n6 6 7 7 7 7 7 7 7 7 5\n6 7 7 7 7 7 7 7 7 7 5\n6 7 7 7 7 7 7 7 7 7 5\n6 7 7 7 7 7 7 7 7 5 5\n6 7 7 7 7 7 7 7 7 7 5\n6 7 7 7 7 7 7 7 7 7 5\n6 7 7 7 7 7 7 7 3 7 5\n7 3 3 3 3 3 3 3 3 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:\n7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7\n8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1\n8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1\n8 7 7 5 7 7 7 7 7 7 7 8 7 7 7 7 1\n8 7 7 7 7 3 7 7 6 7 7 7 7 7 6 7 1\n8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1\n8 7 7 7 1 7 7 7 7 7 7 7 7 7 7 7 1\n8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1\n8 7 7 7 7 7 8 7 7 7 4 7 7 5 7 7 1\n8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1\n8 7 7 1 7 7 7 7 7 7 7 7 7 7 2 7 1\n8 7 7 7 7 7 7 5 7 7 7 7 8 7 7 7 1\n8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1\n7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7\n", "answer": "7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7\n8 7 7 5 7 7 7 5 7 7 7 7 7 5 7 7 1\n8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1\n8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1\n8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1\n8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1\n8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1 1\n8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1\n8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1\n8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1\n8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1 1\n8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1\n8 7 7 7 7 7 7 7 6 7 7 7 7 7 6 7 1\n7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7", "metadata": {"source_dataset": "arc_agi", "source_index": 161, "input": [[7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 1], [8, 7, 7, 7, 7, 3, 7, 7, 6, 7, 7, 7, 7, 7, 6, 7, 1], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 7, 7, 7, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 7, 7, 7, 7, 7, 8, 7, 7, 7, 4, 7, 7, 5, 7, 7, 1], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 7, 7, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 1], [8, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 8, 7, 7, 7, 1], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7]], "output": [[7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7], [8, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 7, 7, 1], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1], [8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 6, 7, 1], [7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7]], "task_id": "d687bc17", "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": 161, "input": [[7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 1], [8, 7, 7, 7, 7, 3, 7, 7, 6, 7, 7, 7, 7, 7, 6, 7, 1], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 7, 7, 7, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 7, 7, 7, 7, 7, 8, 7, 7, 7, 4, 7, 7, 5, 7, 7, 1], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 7, 7, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 1], [8, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 8, 7, 7, 7, 1], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7]], "output": [[7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7], [8, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 7, 7, 1], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1], [8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1], [8, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 6, 7, 1], [7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7]], "task_id": "d687bc17", "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 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 3 3 3 3 3 3 3 3 3 3 3 3 8 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 1 3 1 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 1 3 1 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 9 8 9 3 3 3 3 3 3 3 9 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 4 3 3 3 3 3 3 3 3 3 3 3 3 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 6 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 1 3 3 3 3 3 3 3 4 3 3 3 3 9 3 3 1 3 1 3 3 9 8 9 3 3 3 3 3 3 3 9 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 Example 3: Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 8 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 4 3 3 3 8 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 1 3 1 3 3 3 9 3 3 3 4 3 3 3 9 8 9 3 1 3 1 2 3 3 9 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 3 1 3 3 9 3 3 3 3 4 3 3 9 8 9 3 3 1 3 1 3 3 9 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 3 3 3 3 6 3 3 3 3 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 3 3 2 3 3 3 3 3 8 3 3 3 3 3 3 3 3 3 3 3 3 3 4 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\n3 3 1 3 1 3 3 6 3\n3 3 3 4 3 3 3 3 3\n3 3 1 3 1 3 3 3 3\n3 3 3 3 3 3 3 3 3\n3 3 9 3 3 2 3 3 3\n3 9 8 9 3 3 1 3 1\n3 3 9 3 3 3 3 4 3\n3 3 3 3 3 3 1 3 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:\n3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3\n3 3 3 4 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 8 3 3\n3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3\nOutput:\n3 3 3 3 3 3 3 3 3\n3 3 1 3 1 3 3 3 3\n3 3 3 4 3 3 3 3 3\n3 3 1 3 1 3 3 3 3\n3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 9 3 3\n3 3 3 3 3 9 8 9 3\n3 3 3 3 3 3 9 3 3\n3 3 3 3 3 3 3 3 3\n\nExample 2:\n\nInput:\n3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3\n3 3 4 3 3 3 3 3 3\n3 3 3 3 3 3 3 8 3\n3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3\n3 3 3 3 3 6 3 3 3\n3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3\nOutput:\n3 3 3 3 3 3 3 3 3\n3 1 3 1 3 3 3 3 3\n3 3 4 3 3 3 3 9 3\n3 1 3 1 3 3 9 8 9\n3 3 3 3 3 3 3 9 3\n3 3 3 3 3 3 3 3 3\n3 3 3 3 3 6 3 3 3\n3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3\n\nExample 3:\n\nInput:\n3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 4 3\n3 3 3 8 3 3 3 3 3\n2 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 4 3 3 3 8 3 3\n3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3\nOutput:\n3 3 3 3 3 3 1 3 1\n3 3 3 9 3 3 3 4 3\n3 3 9 8 9 3 1 3 1\n2 3 3 9 3 3 3 3 3\n3 3 3 3 3 3 3 3 3\n3 1 3 1 3 3 9 3 3\n3 3 4 3 3 9 8 9 3\n3 1 3 1 3 3 9 3 3\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\n3 3 3 3 3 3 3 6 3\n3 3 3 4 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 2 3 3 3\n3 3 8 3 3 3 3 3 3\n3 3 3 3 3 3 3 4 3\n3 3 3 3 3 3 3 3 3\n", "answer": "3 3 3 3 3 3 3 3 3\n3 3 1 3 1 3 3 6 3\n3 3 3 4 3 3 3 3 3\n3 3 1 3 1 3 3 3 3\n3 3 3 3 3 3 3 3 3\n3 3 9 3 3 2 3 3 3\n3 9 8 9 3 3 1 3 1\n3 3 9 3 3 3 3 4 3\n3 3 3 3 3 3 1 3 1", "metadata": {"source_dataset": "arc_agi", "source_index": 162, "input": [[3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 6, 3], [3, 3, 3, 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, 3, 3, 2, 3, 3, 3], [3, 3, 8, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 4, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3]], "output": [[3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 1, 3, 1, 3, 3, 6, 3], [3, 3, 3, 4, 3, 3, 3, 3, 3], [3, 3, 1, 3, 1, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 9, 3, 3, 2, 3, 3, 3], [3, 9, 8, 9, 3, 3, 1, 3, 1], [3, 3, 9, 3, 3, 3, 3, 4, 3], [3, 3, 3, 3, 3, 3, 1, 3, 1]], "task_id": "0ca9ddb6", "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": 162, "input": [[3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 6, 3], [3, 3, 3, 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, 3, 3, 2, 3, 3, 3], [3, 3, 8, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 4, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3]], "output": [[3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 1, 3, 1, 3, 3, 6, 3], [3, 3, 3, 4, 3, 3, 3, 3, 3], [3, 3, 1, 3, 1, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 9, 3, 3, 2, 3, 3, 3], [3, 9, 8, 9, 3, 3, 1, 3, 1], [3, 3, 9, 3, 3, 3, 3, 4, 3], [3, 3, 3, 3, 3, 3, 1, 3, 1]], "task_id": "0ca9ddb6", "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 7 7 7 7 7 7 7 7 7 7 7 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 0 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 0 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 0 5 1 1 1 1 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 0 5 1 1 1 1 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 0 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 0 7 8 8 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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 0 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 0 5 5 5 7 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 0 5 1 1 7 7 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 0 5 1 1 1 1 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 0 5 5 5 7 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 0 7 8 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 7 7 7 7 7 7 Output: 4 7 4 7 4 4 7 7 4 7 4 7 Example 2: 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 5 5 5 5 5 5 5 5 7 7 7 5 5 7 7 7 7 7 7 7 7 7 7 5 8 8 8 8 8 8 8 8 7 8 8 5 7 7 7 7 7 7 7 7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 7 7 7 7 7 7 7 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 7 7 7 7 7 7 7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 7 7 7 7 7 7 7 7 5 8 8 8 8 8 8 8 8 7 8 8 5 7 7 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 7 7 7 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 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 5 8 8 8 8 8 8 8 8 8 8 8 5 7 7 7 7 7 7 7 7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 7 7 7 7 7 7 7 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 7 7 7 7 7 7 7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 7 7 7 7 7 7 7 7 5 8 8 8 8 8 8 8 8 8 8 8 5 7 7 7 7 7 7 7 7 7 7 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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: 4 4 4 7 4 7 7 7 7 7 7 7 7 7 7 7 4 7 4 4 4 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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 5 9 9 7 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 5 5 7 7 5 9 0 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 0 5 0 0 7 7 0 0 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 2 5 2 2 7 2 2 1 1 1 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 2 5 2 2 2 2 2 1 1 1 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 0 5 0 0 7 0 0 0 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 5 5 7 7 5 9 0 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 5 9 7 7 7 7 8 8 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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 5 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 5 5 5 5 5 9 0 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 0 5 0 0 0 0 0 0 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 2 5 2 2 2 2 2 1 1 1 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 2 5 2 2 2 2 2 1 1 1 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 0 5 0 0 0 0 0 0 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 5 5 5 5 5 9 0 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 5 9 9 9 9 9 8 8 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 7 7 7 7 7 7 7 7 7 7 7 7 Output: 7 4 7 7 4 4 7 7 7 4 4 7 7 4 7 7 7 7 7 7 7 4 7 7 4 4 7 7 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: 7 7 7 7 7 7 7 7 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 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 9 9 9 7 9 9 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 0 0 0 9 7 9 5 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 0 8 8 8 8 9 5 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 8 9 5 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 8 9 5 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 0 8 8 8 8 9 5 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 0 0 0 9 7 9 5 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 9 9 9 7 9 9 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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 7 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 9 7 7 7 9 9 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 0 0 0 9 7 9 5 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 0 8 8 8 8 9 5 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 8 9 5 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 8 9 5 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 0 8 7 8 8 9 5 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 0 0 7 9 7 9 5 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 9 7 7 7 9 9 9 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 7 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": "4 4\n4 4\n7 7\n7 7\n7 7\n7 7\n4 7\n4 7\n4 4\n4 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 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\n7 7 7 5 0 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 5 0 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 5 0 5 1 1 1 1 5 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 5 0 5 1 1 1 1 5 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 5 0 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 5 0 7 8 8 8 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 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\n7 7 7 7 7 7 7 7 7 7 7 7 5 0 7 8 8 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 5 0 5 5 5 7 5 5 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 5 0 5 1 1 7 7 5 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 5 0 5 1 1 1 1 5 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 5 0 5 5 5 7 5 5 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 5 0 7 8 8 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\nOutput:\n4 7\n4 7\n4 4\n7 7\n4 7\n4 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 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 7\n7 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 5 5 5 5 5 5 5 5 7 7 7 5 5 7 7 7 7\n7 7 7 7 7 7 5 8 8 8 8 8 8 8 8 7 8 8 5 7 7 7 7\n7 7 7 7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 7 7\n7 7 7 7 7 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 7 7 7\n7 7 7 7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 7 7\n7 7 7 7 7 7 5 8 8 8 8 8 8 8 8 7 8 8 5 7 7 7 7\n7 7 7 7 7 7 5 5 5 5 5 5 5 5 7 7 7 5 5 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 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7\n7 5 8 8 8 8 8 8 8 8 8 8 8 5 7 7 7 7 7 7 7 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 7 7 7 7 7 7 7\n0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 7 7 7 7 7 7 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 7 7 7 7 7 7 7\n7 5 8 8 8 8 8 8 8 8 8 8 8 5 7 7 7 7 7 7 7 7 7\n7 5 5 5 5 5 5 5 5 5 5 5 5 5 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 7\n7 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 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 7\n7 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 7 7 7 7 7 7 7 7 7 7\nOutput:\n4 4 4\n7 4 7\n7 7 7\n7 7 7\n7 7 7\n7 4 7\n4 4 4\n\nExample 3:\n\nInput:\n7 7 7 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 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 7 7 7\n7 7 7 9 5 9 9 7 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 9 5 5 7 7 5 9 0 0 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 0 0 5 0 0 7 7 0 0 0 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 0 2 5 2 2 7 2 2 1 1 1 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 0 2 5 2 2 2 2 2 1 1 1 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 0 0 5 0 0 7 0 0 0 0 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 9 5 5 7 7 5 9 0 0 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 9 5 9 7 7 7 7 8 8 8 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 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 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 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 7 7 7\n7 7 7 7 7 7 7 7 7 7 9 5 9 9 9 9 9 8 8 8 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 9 5 5 5 5 5 9 0 0 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 0 0 5 0 0 0 0 0 0 0 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 0 2 5 2 2 2 2 2 1 1 1 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 0 2 5 2 2 2 2 2 1 1 1 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 0 0 5 0 0 0 0 0 0 0 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 9 5 5 5 5 5 9 0 0 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 9 5 9 9 9 9 9 8 8 8 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 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 7 7 7\nOutput:\n7 4 7 7\n4 4 7 7\n7 4 4 7\n7 4 7 7\n7 7 7 7\n7 4 7 7\n4 4 7 7\n4 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:\n7 7 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 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 9 7 9 9 9 7 9 9 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 9 0 0 0 9 7 9 5 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 9 0 8 8 8 8 9 5 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 2 2 2 2 8 9 5 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 2 2 2 2 8 9 5 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 9 0 8 8 8 8 9 5 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 9 0 0 0 9 7 9 5 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 9 7 9 9 9 7 9 9 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 5 5 5 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 7 7\n7 7 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 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 9 7 9 7 7 7 9 9 9 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 9 0 0 0 9 7 9 5 9 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 9 0 8 8 8 8 9 5 9 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 2 2 2 2 8 9 5 9 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 2 2 2 2 8 9 5 9 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 9 0 8 7 8 8 9 5 9 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 9 0 0 7 9 7 9 5 9 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 9 7 9 7 7 7 9 9 9 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 5 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 7 7\n", "answer": "4 4\n4 4\n7 7\n7 7\n7 7\n7 7\n4 7\n4 7\n4 4\n4 4", "metadata": {"source_dataset": "arc_agi", "source_index": 163, "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, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 9, 7, 9, 9, 9, 7, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 9, 0, 0, 0, 9, 7, 9, 5, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 9, 0, 8, 8, 8, 8, 9, 5, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 2, 2, 2, 2, 8, 9, 5, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 2, 2, 2, 2, 8, 9, 5, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 9, 0, 8, 8, 8, 8, 9, 5, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 9, 0, 0, 0, 9, 7, 9, 5, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 9, 7, 9, 9, 9, 7, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 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, 7, 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, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 9, 7, 9, 7, 7, 7, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 9, 0, 0, 0, 9, 7, 9, 5, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 9, 0, 8, 8, 8, 8, 9, 5, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 2, 2, 2, 2, 8, 9, 5, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 2, 2, 2, 2, 8, 9, 5, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 9, 0, 8, 7, 8, 8, 9, 5, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 9, 0, 0, 7, 9, 7, 9, 5, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 9, 7, 9, 7, 7, 7, 9, 9, 9, 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, 7], [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": [[4, 4], [4, 4], [7, 7], [7, 7], [7, 7], [7, 7], [4, 7], [4, 7], [4, 4], [4, 4]], "task_id": "2037f2c7", "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": 163, "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, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 9, 7, 9, 9, 9, 7, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 9, 0, 0, 0, 9, 7, 9, 5, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 9, 0, 8, 8, 8, 8, 9, 5, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 2, 2, 2, 2, 8, 9, 5, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 2, 2, 2, 2, 8, 9, 5, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 9, 0, 8, 8, 8, 8, 9, 5, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 9, 0, 0, 0, 9, 7, 9, 5, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 9, 7, 9, 9, 9, 7, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 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, 7, 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, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 9, 7, 9, 7, 7, 7, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 9, 0, 0, 0, 9, 7, 9, 5, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 9, 0, 8, 8, 8, 8, 9, 5, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 2, 2, 2, 2, 8, 9, 5, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 2, 2, 2, 2, 8, 9, 5, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 9, 0, 8, 7, 8, 8, 9, 5, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 9, 0, 0, 7, 9, 7, 9, 5, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 9, 7, 9, 7, 7, 7, 9, 9, 9, 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, 7], [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": [[4, 4], [4, 4], [7, 7], [7, 7], [7, 7], [7, 7], [4, 7], [4, 7], [4, 4], [4, 4]], "task_id": "2037f2c7", "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 1 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 1 1 1 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 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 Output: 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 8 8 8 8 8 8 8 8 8 8 8 1 1 1 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 1 1 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 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 1 1 1 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 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 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 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 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 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 2 2 2 2 2 2 2 2 2 2 2 2 2 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 1 1 1 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 8 8 8 8 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 2 2 2 2 2 2 2 2 2 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 2 2 2 2 2 2 2 2 2 2 2 2 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 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 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 2 2 2 Example 3: Input: 8 8 8 8 8 8 2 2 2 2 2 2 2 2 8 8 8 8 8 8 2 2 2 2 2 2 2 2 8 8 8 8 8 8 2 2 2 2 2 1 1 2 8 1 1 8 8 8 2 2 2 2 2 2 2 2 8 1 1 8 8 8 2 2 1 1 1 2 2 2 8 8 8 8 8 8 2 2 1 1 1 2 2 2 8 8 1 1 8 8 2 2 2 2 2 2 2 2 8 8 1 1 8 8 2 2 2 2 2 2 2 2 8 8 1 1 8 8 2 2 2 2 1 1 2 2 8 8 1 1 8 8 2 2 2 2 1 1 2 2 8 8 8 8 8 8 2 2 2 2 2 2 2 2 8 8 8 8 8 8 2 2 2 2 2 2 2 2 Output: 8 8 8 8 8 8 2 2 2 2 2 2 2 2 8 8 8 8 8 8 2 2 2 2 2 2 2 2 8 8 8 8 8 8 2 2 2 2 2 2 1 1 1 1 8 8 8 8 2 2 2 2 2 2 2 2 1 1 8 8 8 8 2 2 2 2 2 1 1 1 8 8 8 8 8 8 2 2 2 2 2 1 1 1 1 1 8 8 8 8 2 2 2 2 2 2 2 2 1 1 8 8 8 8 2 2 2 2 2 2 2 2 1 1 8 8 8 8 2 2 2 2 2 2 1 1 1 1 8 8 8 8 2 2 2 2 2 2 1 1 8 8 8 8 8 8 2 2 2 2 2 2 2 2 8 8 8 8 8 8 2 2 2 2 2 2 2 2 Example 4: Input: 2 2 2 2 2 2 2 8 8 8 8 8 8 2 2 2 2 2 2 2 8 1 1 8 8 8 2 2 2 2 2 2 2 8 1 1 8 8 8 2 2 1 1 1 2 2 8 8 8 8 8 8 2 2 1 1 1 2 2 8 8 8 8 8 8 2 2 2 2 2 2 2 8 8 8 8 8 8 2 2 1 1 2 2 2 8 8 8 8 8 8 2 2 1 1 2 2 2 8 8 1 1 8 8 2 2 2 2 2 2 2 8 8 1 1 8 8 2 2 2 2 2 2 2 8 8 1 1 8 8 2 2 2 2 2 2 2 8 8 8 8 8 8 Output: 2 2 2 2 2 2 2 8 8 8 8 8 8 2 2 2 2 2 2 2 1 1 8 8 8 8 2 2 2 2 2 2 2 1 1 8 8 8 8 2 2 2 2 1 1 1 8 8 8 8 8 8 2 2 2 2 1 1 1 8 8 8 8 8 8 2 2 2 2 2 2 2 8 8 8 8 8 8 2 2 2 2 2 1 1 8 8 8 8 8 8 2 2 2 2 2 1 1 1 1 8 8 8 8 2 2 2 2 2 2 2 1 1 8 8 8 8 2 2 2 2 2 2 2 1 1 8 8 8 8 2 2 2 2 2 2 2 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: 2 2 2 2 2 2 8 8 8 8 8 2 2 2 2 2 2 8 8 1 8 8 1 1 1 1 2 2 8 8 1 8 8 1 1 1 1 2 2 8 8 8 8 8 2 2 2 2 2 2 8 8 8 8 8 2 1 1 2 2 2 8 8 1 1 8 2 1 1 2 2 2 8 8 1 1 8 2 2 2 2 2 2 8 8 8 8 8 2 2 2 2 2 2 8 1 8 8 8 2 2 2 2 2 2 8 8 8 8 8
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 2 2 2 2 2 8 8 8 8 8\n2 2 2 2 2 2 1 8 8 8 8\n2 2 1 1 1 1 1 8 8 8 8\n2 2 1 1 1 1 8 8 8 8 8\n2 2 2 2 2 2 8 8 8 8 8\n2 2 2 2 1 1 1 1 8 8 8\n2 2 2 2 1 1 1 1 8 8 8\n2 2 2 2 2 2 8 8 8 8 8\n2 2 2 2 2 2 1 8 8 8 8\n2 2 2 2 2 2 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:\n2 2 2 2 2 2 2 2 1 2 2\n2 2 2 1 1 2 2 2 2 2 2\n2 2 2 1 1 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2\n8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 1 1 1 8 8 8\n8 8 8 8 8 1 1 1 8 8 8\n8 8 8 8 8 8 8 8 8 8 8\n8 8 1 1 8 8 8 8 8 8 8\n8 8 1 1 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8\nOutput:\n2 2 2 2 2 2 2 2 2 2 1\n2 2 2 2 2 2 2 2 2 1 1\n2 2 2 2 2 2 2 2 2 1 1\n2 2 2 2 2 2 2 2 2 2 2\n8 8 8 8 8 8 8 8 8 8 8\n1 1 1 8 8 8 8 8 8 8 8\n1 1 1 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8\n1 1 8 8 8 8 8 8 8 8 8\n1 1 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8\n8 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\n8 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\n8 8 8 8 8 8 8 1 1 1 8 8 8 8 8\n8 8 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\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 2 2 1 1 1 2 2 2 2 2\n2 2 2 2 2 2 2 1 1 1 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 1 1 2 2 2 2 2 2 2 2 2 2\n2 2 2 1 1 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 2 2 2 2 2 2 2 2 2 2\nOutput:\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\n1 1 1 8 8 8 8 8 8 8 8 8 8 8 8\n1 1 1 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\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\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 2 2 2 2 2 2 2 1 1 1\n2 2 2 2 2 2 2 2 2 2 2 2 1 1 1\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 1 1\n2 2 2 2 2 2 2 2 2 2 2 2 2 1 1\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\n\nExample 3:\n\nInput:\n8 8 8 8 8 8 2 2 2 2 2 2 2 2\n8 8 8 8 8 8 2 2 2 2 2 2 2 2\n8 8 8 8 8 8 2 2 2 2 2 1 1 2\n8 1 1 8 8 8 2 2 2 2 2 2 2 2\n8 1 1 8 8 8 2 2 1 1 1 2 2 2\n8 8 8 8 8 8 2 2 1 1 1 2 2 2\n8 8 1 1 8 8 2 2 2 2 2 2 2 2\n8 8 1 1 8 8 2 2 2 2 2 2 2 2\n8 8 1 1 8 8 2 2 2 2 1 1 2 2\n8 8 1 1 8 8 2 2 2 2 1 1 2 2\n8 8 8 8 8 8 2 2 2 2 2 2 2 2\n8 8 8 8 8 8 2 2 2 2 2 2 2 2\nOutput:\n8 8 8 8 8 8 2 2 2 2 2 2 2 2\n8 8 8 8 8 8 2 2 2 2 2 2 2 2\n8 8 8 8 8 8 2 2 2 2 2 2 1 1\n1 1 8 8 8 8 2 2 2 2 2 2 2 2\n1 1 8 8 8 8 2 2 2 2 2 1 1 1\n8 8 8 8 8 8 2 2 2 2 2 1 1 1\n1 1 8 8 8 8 2 2 2 2 2 2 2 2\n1 1 8 8 8 8 2 2 2 2 2 2 2 2\n1 1 8 8 8 8 2 2 2 2 2 2 1 1\n1 1 8 8 8 8 2 2 2 2 2 2 1 1\n8 8 8 8 8 8 2 2 2 2 2 2 2 2\n8 8 8 8 8 8 2 2 2 2 2 2 2 2\n\nExample 4:\n\nInput:\n2 2 2 2 2 2 2 8 8 8 8 8 8\n2 2 2 2 2 2 2 8 1 1 8 8 8\n2 2 2 2 2 2 2 8 1 1 8 8 8\n2 2 1 1 1 2 2 8 8 8 8 8 8\n2 2 1 1 1 2 2 8 8 8 8 8 8\n2 2 2 2 2 2 2 8 8 8 8 8 8\n2 2 1 1 2 2 2 8 8 8 8 8 8\n2 2 1 1 2 2 2 8 8 1 1 8 8\n2 2 2 2 2 2 2 8 8 1 1 8 8\n2 2 2 2 2 2 2 8 8 1 1 8 8\n2 2 2 2 2 2 2 8 8 8 8 8 8\nOutput:\n2 2 2 2 2 2 2 8 8 8 8 8 8\n2 2 2 2 2 2 2 1 1 8 8 8 8\n2 2 2 2 2 2 2 1 1 8 8 8 8\n2 2 2 2 1 1 1 8 8 8 8 8 8\n2 2 2 2 1 1 1 8 8 8 8 8 8\n2 2 2 2 2 2 2 8 8 8 8 8 8\n2 2 2 2 2 1 1 8 8 8 8 8 8\n2 2 2 2 2 1 1 1 1 8 8 8 8\n2 2 2 2 2 2 2 1 1 8 8 8 8\n2 2 2 2 2 2 2 1 1 8 8 8 8\n2 2 2 2 2 2 2 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:\n2 2 2 2 2 2 8 8 8 8 8\n2 2 2 2 2 2 8 8 1 8 8\n1 1 1 1 2 2 8 8 1 8 8\n1 1 1 1 2 2 8 8 8 8 8\n2 2 2 2 2 2 8 8 8 8 8\n2 1 1 2 2 2 8 8 1 1 8\n2 1 1 2 2 2 8 8 1 1 8\n2 2 2 2 2 2 8 8 8 8 8\n2 2 2 2 2 2 8 1 8 8 8\n2 2 2 2 2 2 8 8 8 8 8\n", "answer": "2 2 2 2 2 2 8 8 8 8 8\n2 2 2 2 2 2 1 8 8 8 8\n2 2 1 1 1 1 1 8 8 8 8\n2 2 1 1 1 1 8 8 8 8 8\n2 2 2 2 2 2 8 8 8 8 8\n2 2 2 2 1 1 1 1 8 8 8\n2 2 2 2 1 1 1 1 8 8 8\n2 2 2 2 2 2 8 8 8 8 8\n2 2 2 2 2 2 1 8 8 8 8\n2 2 2 2 2 2 8 8 8 8 8", "metadata": {"source_dataset": "arc_agi", "source_index": 164, "input": [[2, 2, 2, 2, 2, 2, 8, 8, 8, 8, 8], [2, 2, 2, 2, 2, 2, 8, 8, 1, 8, 8], [1, 1, 1, 1, 2, 2, 8, 8, 1, 8, 8], [1, 1, 1, 1, 2, 2, 8, 8, 8, 8, 8], [2, 2, 2, 2, 2, 2, 8, 8, 8, 8, 8], [2, 1, 1, 2, 2, 2, 8, 8, 1, 1, 8], [2, 1, 1, 2, 2, 2, 8, 8, 1, 1, 8], [2, 2, 2, 2, 2, 2, 8, 8, 8, 8, 8], [2, 2, 2, 2, 2, 2, 8, 1, 8, 8, 8], [2, 2, 2, 2, 2, 2, 8, 8, 8, 8, 8]], "output": [[2, 2, 2, 2, 2, 2, 8, 8, 8, 8, 8], [2, 2, 2, 2, 2, 2, 1, 8, 8, 8, 8], [2, 2, 1, 1, 1, 1, 1, 8, 8, 8, 8], [2, 2, 1, 1, 1, 1, 8, 8, 8, 8, 8], [2, 2, 2, 2, 2, 2, 8, 8, 8, 8, 8], [2, 2, 2, 2, 1, 1, 1, 1, 8, 8, 8], [2, 2, 2, 2, 1, 1, 1, 1, 8, 8, 8], [2, 2, 2, 2, 2, 2, 8, 8, 8, 8, 8], [2, 2, 2, 2, 2, 2, 1, 8, 8, 8, 8], [2, 2, 2, 2, 2, 2, 8, 8, 8, 8, 8]], "task_id": "9b4c17c4", "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": 164, "input": [[2, 2, 2, 2, 2, 2, 8, 8, 8, 8, 8], [2, 2, 2, 2, 2, 2, 8, 8, 1, 8, 8], [1, 1, 1, 1, 2, 2, 8, 8, 1, 8, 8], [1, 1, 1, 1, 2, 2, 8, 8, 8, 8, 8], [2, 2, 2, 2, 2, 2, 8, 8, 8, 8, 8], [2, 1, 1, 2, 2, 2, 8, 8, 1, 1, 8], [2, 1, 1, 2, 2, 2, 8, 8, 1, 1, 8], [2, 2, 2, 2, 2, 2, 8, 8, 8, 8, 8], [2, 2, 2, 2, 2, 2, 8, 1, 8, 8, 8], [2, 2, 2, 2, 2, 2, 8, 8, 8, 8, 8]], "output": [[2, 2, 2, 2, 2, 2, 8, 8, 8, 8, 8], [2, 2, 2, 2, 2, 2, 1, 8, 8, 8, 8], [2, 2, 1, 1, 1, 1, 1, 8, 8, 8, 8], [2, 2, 1, 1, 1, 1, 8, 8, 8, 8, 8], [2, 2, 2, 2, 2, 2, 8, 8, 8, 8, 8], [2, 2, 2, 2, 1, 1, 1, 1, 8, 8, 8], [2, 2, 2, 2, 1, 1, 1, 1, 8, 8, 8], [2, 2, 2, 2, 2, 2, 8, 8, 8, 8, 8], [2, 2, 2, 2, 2, 2, 1, 8, 8, 8, 8], [2, 2, 2, 2, 2, 2, 8, 8, 8, 8, 8]], "task_id": "9b4c17c4", "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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 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 8 2 2 2 2 2 2 2 2 2 2 2 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 2 2 2 2 2 2 2 2 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 2 2 2 2 2 2 2 2 2 2 2 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 2 2 2 2 2 2 2 2 2 2 2 8 8 8 2 2 2 2 2 2 2 2 2 1 2 8 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 1 2 1 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 1 2 1 2 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 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 6 9 9 9 9 9 9 8 8 9 8 8 9 9 9 9 9 9 9 8 8 9 8 8 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 8 8 9 8 8 9 9 9 9 9 9 9 8 8 9 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 Output: 9 9 9 9 9 9 9 6 6 9 6 6 9 9 9 9 9 9 9 6 6 9 6 6 9 9 9 9 9 9 9 9 9 6 9 9 9 9 9 9 9 9 9 6 6 9 6 6 9 9 9 9 9 9 9 6 6 9 6 6 9 9 8 8 9 8 8 9 9 9 9 9 9 9 8 8 9 8 8 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 8 8 9 8 8 9 9 9 9 9 9 9 8 8 9 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 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 6 6 6 6 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 8 6 6 6 6 6 6 6 6 6 6 8 6 8 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 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 5 6 6 6 6 6 6 6 6 6 6 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 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 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 6 8 6 6 6 6 6 6 6 6 6 6 8 6 8 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 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: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 8 1 1 1 1 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 1 1 1 1 8 1 8 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
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 1 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 1\n1 1 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 1\n1 1 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 1\n1 1 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 1\n1 1 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 8 1 8 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 8 1 8 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 7 1 7 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 7 1 7 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 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 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\n2 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\n2 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\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 8 2 2 2 2 2 2\n2 2 2 2 2 8 8 8 2 2 2 2 2\n2 2 2 2 2 2 8 2 2 2 2 2 2\n2 2 2 2 2 1 2 2 2 2 2 2 2\n2 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\n2 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\nOutput:\n2 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\n2 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\n2 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\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 8 2 2 2 2 2 2\n2 2 2 2 2 8 8 8 2 2 2 2 2\n2 2 2 2 1 2 8 2 2 2 2 2 2\n2 2 2 1 1 1 2 2 2 2 2 2 2\n2 2 1 2 1 2 2 2 2 2 2 2 2\n2 1 1 1 2 2 2 2 2 2 2 2 2\n1 2 1 2 2 2 2 2 2 2 2 2 2\n1 1 2 2 2 2 2 2 2 2 2 2 2\n\nExample 2:\n\nInput:\n9 9 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 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 6 9 9 9 9\n9 9 8 8 9 8 8 9 9 9 9 9\n9 9 8 8 9 8 8 9 9 9 9 9\n9 9 9 9 8 9 9 9 9 9 9 9\n9 9 8 8 9 8 8 9 9 9 9 9\n9 9 8 8 9 8 8 9 9 9 9 9\n9 9 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 9 9 9 9 9 9 9\n9 9 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 9 9 9 9 9 9 9\nOutput:\n9 9 9 9 9 9 9 6 6 9 6 6\n9 9 9 9 9 9 9 6 6 9 6 6\n9 9 9 9 9 9 9 9 9 6 9 9\n9 9 9 9 9 9 9 6 6 9 6 6\n9 9 9 9 9 9 9 6 6 9 6 6\n9 9 8 8 9 8 8 9 9 9 9 9\n9 9 8 8 9 8 8 9 9 9 9 9\n9 9 9 9 8 9 9 9 9 9 9 9\n9 9 8 8 9 8 8 9 9 9 9 9\n9 9 8 8 9 8 8 9 9 9 9 9\n9 9 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 9 9 9 9 9 9 9\n9 9 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 9 9 9 9 9 9 9\n\nExample 3:\n\nInput:\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\n6 6 6 6 6 6 5 6 6 6 6 6\n6 6 6 6 6 6 6 8 6 6 6 6\n6 6 6 6 6 6 8 6 8 6 6 6\n6 6 6 6 6 6 6 8 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 6 6 6 6 6 6 6 6 6 6\n5 6 6 6 6 6 6 6 6 6 6 6\n6 5 6 6 6 6 6 6 6 6 6 6\n5 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 6 5 6 6 6 6 6 6 6\n6 6 6 5 6 5 6 6 6 6 6 6\n6 6 6 6 5 6 5 6 6 6 6 6\n6 6 6 6 6 5 6 8 6 6 6 6\n6 6 6 6 6 6 8 6 8 6 6 6\n6 6 6 6 6 6 6 8 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:\n1 1 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 1\n1 1 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 1\n1 1 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 1\n1 1 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 1\n1 1 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 8 1 8 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 8 1 8 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 1 1\n1 1 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 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", "answer": "1 1 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 1\n1 1 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 1\n1 1 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 1\n1 1 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 1\n1 1 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 8 1 8 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 8 1 8 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 7 1 7 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 7 1 7 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 7", "metadata": {"source_dataset": "arc_agi", "source_index": 165, "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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 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, 8, 1, 1, 1, 1, 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, 1, 1, 1, 1, 8, 1, 8, 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]], "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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 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, 8, 1, 1, 1, 1, 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, 1, 1, 1, 1, 8, 1, 8, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 7, 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, 7, 1, 7, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 7]], "task_id": "e8dc4411", "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": 165, "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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 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, 8, 1, 1, 1, 1, 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, 1, 1, 1, 1, 8, 1, 8, 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]], "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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 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, 8, 1, 1, 1, 1, 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, 1, 1, 1, 1, 8, 1, 8, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 7, 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, 7, 1, 7, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 7]], "task_id": "e8dc4411", "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 5 5 5 7 5 5 0 5 5 5 3 5 5 5 5 5 5 3 5 5 9 6 5 5 5 5 5 5 3 5 5 5 5 9 5 5 5 5 5 5 9 5 5 9 5 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 1 5 5 4 5 5 6 5 5 2 5 3 Output: 8 5 5 5 5 3 3 5 5 Example 2: Input: 5 5 5 5 4 5 5 0 6 9 5 4 5 5 2 0 0 6 5 8 1 9 5 5 5 3 5 5 5 5 5 5 4 5 2 5 7 5 5 9 5 5 5 1 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 8 5 5 8 5 5 5 5 9 5 5 5 5 5 5 5 5 5 5 0 5 Output: 5 5 5 9 5 4 5 8 1 Example 3: Input: 5 4 5 5 5 5 5 5 1 9 7 5 0 5 2 5 8 5 0 8 8 9 2 5 5 6 5 5 5 5 5 8 5 5 4 5 2 1 5 5 6 8 5 3 7 2 4 5 6 5 3 6 5 5 2 5 2 8 3 5 8 5 8 5 5 3 5 5 5 5 9 2 5 5 5 5 8 5 5 6 3 Output: 5 4 5 9 7 5 0 8 8 Example 4: Input: 5 2 1 5 5 2 5 5 3 8 7 8 5 4 4 5 8 7 5 5 8 5 5 5 5 2 9 5 5 2 5 9 1 5 9 9 5 5 5 2 2 5 5 5 5 5 8 7 5 2 9 5 5 7 5 5 9 6 1 1 5 2 5 5 5 0 5 5 5 5 5 5 5 5 7 5 8 6 5 5 5 Output: 5 2 1 8 7 8 5 5 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 7 0 5 9 5 5 1 4 5 1 5 7 5 4 5 1 6 5 6 1 1 5 5 5 5 5 7 4 5 7 5 5 4 6 1 5 5 1 5 2 5 8 2 2 8 2 0 9 5 5 2 5 5 1 5 5 0 2 5 5 9 8 5 5 9 5 5 5 5 1 1 5 8 7 5 5 5 6 1 8
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 7 0\n5 1 5\n5 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:\n8 5 5 5 7 5 5 0 5\n5 5 3 5 5 5 5 5 5\n3 5 5 9 6 5 5 5 5\n5 5 3 5 5 5 5 9 5\n5 5 5 5 5 9 5 5 9\n5 7 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 8 1 5 5\n4 5 5 6 5 5 2 5 3\nOutput:\n8 5 5\n5 5 3\n3 5 5\n\nExample 2:\n\nInput:\n5 5 5 5 4 5 5 0 6\n9 5 4 5 5 2 0 0 6\n5 8 1 9 5 5 5 3 5\n5 5 5 5 5 4 5 2 5\n7 5 5 9 5 5 5 1 5\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 8 5 5\n8 5 5 5 5 9 5 5 5\n5 5 5 5 5 5 5 0 5\nOutput:\n5 5 5\n9 5 4\n5 8 1\n\nExample 3:\n\nInput:\n5 4 5 5 5 5 5 5 1\n9 7 5 0 5 2 5 8 5\n0 8 8 9 2 5 5 6 5\n5 5 5 5 8 5 5 4 5\n2 1 5 5 6 8 5 3 7\n2 4 5 6 5 3 6 5 5\n2 5 2 8 3 5 8 5 8\n5 5 3 5 5 5 5 9 2\n5 5 5 5 8 5 5 6 3\nOutput:\n5 4 5\n9 7 5\n0 8 8\n\nExample 4:\n\nInput:\n5 2 1 5 5 2 5 5 3\n8 7 8 5 4 4 5 8 7\n5 5 8 5 5 5 5 2 9\n5 5 2 5 9 1 5 9 9\n5 5 5 2 2 5 5 5 5\n5 8 7 5 2 9 5 5 7\n5 5 9 6 1 1 5 2 5\n5 5 0 5 5 5 5 5 5\n5 5 7 5 8 6 5 5 5\nOutput:\n5 2 1\n8 7 8\n5 5 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 7 0 5 9 5 5 1 4\n5 1 5 7 5 4 5 1 6\n5 6 1 1 5 5 5 5 5\n7 4 5 7 5 5 4 6 1\n5 5 1 5 2 5 8 2 2\n8 2 0 9 5 5 2 5 5\n1 5 5 0 2 5 5 9 8\n5 5 9 5 5 5 5 1 1\n5 8 7 5 5 5 6 1 8\n", "answer": "1 7 0\n5 1 5\n5 6 1", "metadata": {"source_dataset": "arc_agi", "source_index": 166, "input": [[1, 7, 0, 5, 9, 5, 5, 1, 4], [5, 1, 5, 7, 5, 4, 5, 1, 6], [5, 6, 1, 1, 5, 5, 5, 5, 5], [7, 4, 5, 7, 5, 5, 4, 6, 1], [5, 5, 1, 5, 2, 5, 8, 2, 2], [8, 2, 0, 9, 5, 5, 2, 5, 5], [1, 5, 5, 0, 2, 5, 5, 9, 8], [5, 5, 9, 5, 5, 5, 5, 1, 1], [5, 8, 7, 5, 5, 5, 6, 1, 8]], "output": [[1, 7, 0], [5, 1, 5], [5, 6, 1]], "task_id": "5bd6f4ac", "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": 166, "input": [[1, 7, 0, 5, 9, 5, 5, 1, 4], [5, 1, 5, 7, 5, 4, 5, 1, 6], [5, 6, 1, 1, 5, 5, 5, 5, 5], [7, 4, 5, 7, 5, 5, 4, 6, 1], [5, 5, 1, 5, 2, 5, 8, 2, 2], [8, 2, 0, 9, 5, 5, 2, 5, 5], [1, 5, 5, 0, 2, 5, 5, 9, 8], [5, 5, 9, 5, 5, 5, 5, 1, 1], [5, 8, 7, 5, 5, 5, 6, 1, 8]], "output": [[1, 7, 0], [5, 1, 5], [5, 6, 1]], "task_id": "5bd6f4ac", "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: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 4 4 4 4 4 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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: 6 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 6 6 6 6 6 7 7 7 7 7 7 7 7 7 4 4 4 4 4 4 4 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 7 7 7 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 5 5 Example 2: 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 4 4 4 4 7 7 7 7 7 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 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 4 4 4 4 7 7 7 7 7 7 7 5 5 5 5 5 5 7 7 7 7 7 5 5 5 5 5 5 5 5 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 7 7 7 7 7 7 7 7 4 4 4 4 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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 6 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 4 4 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 5 5 5 5 5 5 5 5 5 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 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 4 4 4 4 4 4 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n6 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n6 6 6 7 7 7 7 7 7 7 7 7 7 7 7\n6 6 6 6 6 7 7 7 7 7 7 7 7 7 7\n4 4 4 4 4 4 4 7 7 7 7 7 7 7 7\n5 5 5 5 5 5 5 5 5 7 7 7 7 7 7\n5 5 5 5 5 5 5 5 5 5 5 7 7 7 7\n5 5 5 5 5 5 5 5 5 5 5 5 5 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\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\n4 4 4 4 4 4 4 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\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\nOutput:\n6 7 7 7 7 7 7 7 7 7 7 7 7 7\n6 6 6 7 7 7 7 7 7 7 7 7 7 7\n6 6 6 6 6 7 7 7 7 7 7 7 7 7\n4 4 4 4 4 4 4 7 7 7 7 7 7 7\n5 5 5 5 5 5 5 5 5 7 7 7 7 7\n5 5 5 5 5 5 5 5 5 5 5 7 7 7\n5 5 5 5 5 5 5 5 5 5 5 5 5 7\n5 5 5 5 5 5 5 5 5 5 5 5 5 5\n\nExample 2:\n\nInput:\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n4 4 4 4 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\nOutput:\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n6 6 7 7 7 7 7 7 7 7 7\n4 4 4 4 7 7 7 7 7 7 7\n5 5 5 5 5 5 7 7 7 7 7\n5 5 5 5 5 5 5 5 7 7 7\n\nExample 3:\n\nInput:\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\n4 4 4 4 4 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\n7 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\n6 7 7 7 7 7 7 7 7 7 7 7 7 7\n6 6 6 7 7 7 7 7 7 7 7 7 7 7\n4 4 4 4 4 7 7 7 7 7 7 7 7 7\n5 5 5 5 5 5 5 7 7 7 7 7 7 7\n5 5 5 5 5 5 5 5 5 7 7 7 7 7\n5 5 5 5 5 5 5 5 5 5 5 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\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 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n4 4 4 4 4 4 4 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 7 7 7 7 7 7 7 7 7\n7 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\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n6 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n6 6 6 7 7 7 7 7 7 7 7 7 7 7 7\n6 6 6 6 6 7 7 7 7 7 7 7 7 7 7\n4 4 4 4 4 4 4 7 7 7 7 7 7 7 7\n5 5 5 5 5 5 5 5 5 7 7 7 7 7 7\n5 5 5 5 5 5 5 5 5 5 5 7 7 7 7\n5 5 5 5 5 5 5 5 5 5 5 5 5 7 7", "metadata": {"source_dataset": "arc_agi", "source_index": 167, "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], [4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 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], [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], [6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7], [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, 7, 7, 7, 7], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7]], "task_id": "5207a7b5", "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": 167, "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], [4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 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], [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], [6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7], [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, 7, 7, 7, 7], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7]], "task_id": "5207a7b5", "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 2 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 2 3 2 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 3 3 3 3 3 3 Output: 3 3 3 2 2 2 2 2 3 2 3 2 2 2 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 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 3 3 3 1 1 1 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 3 1 1 3 3 3 3 3 3 3 3 3 3 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 Output: 1 3 3 1 1 1 3 1 3 3 1 1 3 1 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 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 4 3 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 Output: 4 4 3 3 3 3 4 4 4 3 3 4 3 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: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 6 3 3 3 3 3 3 3 3 6 3 3 6 3 3 3 3 3 3 3 3 6 6 6 6 3 3 3 3 3 3 3 3 6 3 3 3 3 3 3 3 3 3 3 3 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
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "3 3 3 6\n3 3 3 6\n6 3 3 6\n6 6 6 6\n6 3 3 3\n6 6 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 2 3 3\n3 3 3 3 2 2 2 2 3 3\n3 3 3 3 3 2 3 2 3 3\n3 3 3 3 2 2 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\nOutput:\n3 3 3 2\n2 2 2 2\n3 2 3 2\n2 2 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 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 1 3 3 3 3 3\n3 3 3 3 3 3 1 1 1 3 3 3\n3 3 3 3 3 3 3 1 3 3 3 3\n3 3 3 3 3 3 3 1 1 3 3 3\n3 3 3 3 3 3 3 1 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:\n1 3 3\n1 1 1\n3 1 3\n3 1 1\n3 1 3\n\nExample 3:\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\n3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 4 4 3 3 3 3\n3 3 3 3 3 3 4 4 4 3 3\n3 3 3 3 3 3 4 3 4 4 3\n3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3\nOutput:\n4 4 3 3 3\n3 4 4 4 3\n3 4 3 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:\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\n3 3 3 3 3 3 3 6 3 3 3 3\n3 3 3 3 3 3 3 6 3 3 3 3\n3 3 3 3 6 3 3 6 3 3 3 3\n3 3 3 3 6 6 6 6 3 3 3 3\n3 3 3 3 6 3 3 3 3 3 3 3\n3 3 3 3 6 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\n", "answer": "3 3 3 6\n3 3 3 6\n6 3 3 6\n6 6 6 6\n6 3 3 3\n6 6 3 3", "metadata": {"source_dataset": "arc_agi", "source_index": 168, "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, 6, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3], [3, 3, 3, 3, 6, 3, 3, 6, 3, 3, 3, 3], [3, 3, 3, 3, 6, 6, 6, 6, 3, 3, 3, 3], [3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 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]], "output": [[3, 3, 3, 6], [3, 3, 3, 6], [6, 3, 3, 6], [6, 6, 6, 6], [6, 3, 3, 3], [6, 6, 3, 3]], "task_id": "1cf80156", "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": 168, "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, 6, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3], [3, 3, 3, 3, 6, 3, 3, 6, 3, 3, 3, 3], [3, 3, 3, 3, 6, 6, 6, 6, 3, 3, 3, 3], [3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 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]], "output": [[3, 3, 3, 6], [3, 3, 3, 6], [6, 3, 3, 6], [6, 6, 6, 6], [6, 3, 3, 3], [6, 6, 3, 3]], "task_id": "1cf80156", "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 1 8 8 8 8 8 8 8 8 1 1 1 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 8 8 8 8 8 8 Output: 8 9 8 8 8 4 8 8 8 9 8 8 9 8 8 7 8 8 9 8 8 8 8 9 8 7 8 9 8 8 8 8 8 8 9 1 9 8 8 8 7 4 7 7 1 1 1 7 7 4 8 8 8 8 9 1 9 8 8 8 8 8 8 9 8 7 8 9 8 8 8 8 9 8 8 7 8 8 9 8 8 9 8 8 8 4 8 8 8 9 9 8 8 8 8 7 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 4 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 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 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 Output: 8 8 8 8 8 8 8 8 8 9 8 8 7 8 8 9 8 8 8 8 8 8 8 8 8 8 9 8 7 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 1 9 8 8 7 7 4 7 7 4 7 7 4 7 7 1 1 1 7 7 8 8 8 8 8 8 8 8 8 8 8 9 1 9 8 8 8 8 8 8 8 8 8 8 8 8 9 8 7 8 9 8 8 8 8 8 8 8 8 8 8 9 8 8 7 8 8 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 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 1 1 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 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 7 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8\n9 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8\n8 9 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8\n8 8 9 8 8 8 8 8 8 4 8 8 8 8 8 8 9\n8 8 8 9 8 8 8 8 8 7 8 8 8 8 8 9 8\n8 8 8 8 9 8 8 8 8 7 8 8 8 8 9 8 8\n8 8 8 8 8 9 8 8 8 4 8 8 8 9 8 8 8\n8 8 8 8 8 8 9 8 8 7 8 8 9 8 8 8 8\n8 8 8 8 8 8 8 9 8 7 8 9 8 8 8 8 8\n8 8 8 8 8 8 8 8 9 1 9 8 8 8 8 8 8\n7 7 4 7 7 4 7 7 1 1 1 7 7 4 7 7 4\n8 8 8 8 8 8 8 8 9 1 9 8 8 8 8 8 8\n8 8 8 8 8 8 8 9 8 7 8 9 8 8 8 8 8\n8 8 8 8 8 8 9 8 8 7 8 8 9 8 8 8 8\n8 8 8 8 8 9 8 8 8 4 8 8 8 9 8 8 8\n8 8 8 8 9 8 8 8 8 7 8 8 8 8 9 8 8\n8 8 8 9 8 8 8 8 8 7 8 8 8 8 8 9 8\n8 8 9 8 8 8 8 8 8 4 8 8 8 8 8 8 9\n8 9 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8\n9 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 7 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 1 8 8 8 8\n8 8 8 8 1 1 1 8 8 8\n8 8 8 8 8 1 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\nOutput:\n8 9 8 8 8 4 8 8 8 9\n8 8 9 8 8 7 8 8 9 8\n8 8 8 9 8 7 8 9 8 8\n8 8 8 8 9 1 9 8 8 8\n7 4 7 7 1 1 1 7 7 4\n8 8 8 8 9 1 9 8 8 8\n8 8 8 9 8 7 8 9 8 8\n8 8 9 8 8 7 8 8 9 8\n8 9 8 8 8 4 8 8 8 9\n9 8 8 8 8 7 8 8 8 8\n8 8 8 8 8 7 8 8 8 8\n8 8 8 8 8 4 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\n8 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 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 1 1 1 8 8\n8 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\n8 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 9 8 8 7 8 8 9\n8 8 8 8 8 8 8 8 8 8 9 8 7 8 9 8\n8 8 8 8 8 8 8 8 8 8 8 9 1 9 8 8\n7 7 4 7 7 4 7 7 4 7 7 1 1 1 7 7\n8 8 8 8 8 8 8 8 8 8 8 9 1 9 8 8\n8 8 8 8 8 8 8 8 8 8 9 8 7 8 9 8\n8 8 8 8 8 8 8 8 8 9 8 8 7 8 8 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 8 8 8 8\n8 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\n8 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\n8 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\n8 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\n8 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 1 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 1 1 1 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 1 8 8 8 8 8 8 8\n8 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\n8 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\n8 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\n8 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\n8 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\n8 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\n8 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\n8 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\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 7 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8\n9 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8\n8 9 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8\n8 8 9 8 8 8 8 8 8 4 8 8 8 8 8 8 9\n8 8 8 9 8 8 8 8 8 7 8 8 8 8 8 9 8\n8 8 8 8 9 8 8 8 8 7 8 8 8 8 9 8 8\n8 8 8 8 8 9 8 8 8 4 8 8 8 9 8 8 8\n8 8 8 8 8 8 9 8 8 7 8 8 9 8 8 8 8\n8 8 8 8 8 8 8 9 8 7 8 9 8 8 8 8 8\n8 8 8 8 8 8 8 8 9 1 9 8 8 8 8 8 8\n7 7 4 7 7 4 7 7 1 1 1 7 7 4 7 7 4\n8 8 8 8 8 8 8 8 9 1 9 8 8 8 8 8 8\n8 8 8 8 8 8 8 9 8 7 8 9 8 8 8 8 8\n8 8 8 8 8 8 9 8 8 7 8 8 9 8 8 8 8\n8 8 8 8 8 9 8 8 8 4 8 8 8 9 8 8 8\n8 8 8 8 9 8 8 8 8 7 8 8 8 8 9 8 8\n8 8 8 9 8 8 8 8 8 7 8 8 8 8 8 9 8\n8 8 9 8 8 8 8 8 8 4 8 8 8 8 8 8 9\n8 9 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8\n9 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8", "metadata": {"source_dataset": "arc_agi", "source_index": 169, "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, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 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, 1, 1, 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, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 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, 7, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 8], [9, 8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8], [8, 9, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8], [8, 8, 9, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 9], [8, 8, 8, 9, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 9, 8], [8, 8, 8, 8, 9, 8, 8, 8, 8, 7, 8, 8, 8, 8, 9, 8, 8], [8, 8, 8, 8, 8, 9, 8, 8, 8, 4, 8, 8, 8, 9, 8, 8, 8], [8, 8, 8, 8, 8, 8, 9, 8, 8, 7, 8, 8, 9, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 9, 8, 7, 8, 9, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 9, 1, 9, 8, 8, 8, 8, 8, 8], [7, 7, 4, 7, 7, 4, 7, 7, 1, 1, 1, 7, 7, 4, 7, 7, 4], [8, 8, 8, 8, 8, 8, 8, 8, 9, 1, 9, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 9, 8, 7, 8, 9, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 9, 8, 8, 7, 8, 8, 9, 8, 8, 8, 8], [8, 8, 8, 8, 8, 9, 8, 8, 8, 4, 8, 8, 8, 9, 8, 8, 8], [8, 8, 8, 8, 9, 8, 8, 8, 8, 7, 8, 8, 8, 8, 9, 8, 8], [8, 8, 8, 9, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 9, 8], [8, 8, 9, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 9], [8, 9, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8], [9, 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, 4, 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, 7, 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, 7, 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, 4, 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, 7, 8, 8, 8, 8, 8, 8, 8]], "task_id": "fe9372f3", "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": 169, "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, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 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, 1, 1, 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, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 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, 7, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 8], [9, 8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8], [8, 9, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8], [8, 8, 9, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 9], [8, 8, 8, 9, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 9, 8], [8, 8, 8, 8, 9, 8, 8, 8, 8, 7, 8, 8, 8, 8, 9, 8, 8], [8, 8, 8, 8, 8, 9, 8, 8, 8, 4, 8, 8, 8, 9, 8, 8, 8], [8, 8, 8, 8, 8, 8, 9, 8, 8, 7, 8, 8, 9, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 9, 8, 7, 8, 9, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 9, 1, 9, 8, 8, 8, 8, 8, 8], [7, 7, 4, 7, 7, 4, 7, 7, 1, 1, 1, 7, 7, 4, 7, 7, 4], [8, 8, 8, 8, 8, 8, 8, 8, 9, 1, 9, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 9, 8, 7, 8, 9, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 9, 8, 8, 7, 8, 8, 9, 8, 8, 8, 8], [8, 8, 8, 8, 8, 9, 8, 8, 8, 4, 8, 8, 8, 9, 8, 8, 8], [8, 8, 8, 8, 9, 8, 8, 8, 8, 7, 8, 8, 8, 8, 9, 8, 8], [8, 8, 8, 9, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 9, 8], [8, 8, 9, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 9], [8, 9, 8, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 8], [9, 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, 4, 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, 7, 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, 7, 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, 4, 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, 7, 8, 8, 8, 8, 8, 8, 8]], "task_id": "fe9372f3", "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 4 7 4 7 4 4 4 7 4 7 4 7 7 4 7 7 7 7 4 7 7 4 7 4 7 7 4 7 7 4 4 4 7 7 4 7 4 7 4 4 4 7 4 7 4 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 4 4 7 4 4 4 7 7 4 7 7 4 4 4 7 7 4 7 4 7 7 4 7 7 4 4 4 7 4 7 4 7 7 4 4 4 7 4 4 4 7 7 4 7 7 4 4 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 4 7 4 7 4 4 4 7 4 7 4 7 7 4 4 4 7 7 4 7 7 4 7 4 7 7 4 7 7 7 7 4 7 7 4 7 4 7 4 4 4 7 4 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 4 4 7 7 4 7 7 4 7 4 7 8 8 8 7 7 7 4 7 7 4 4 4 7 7 4 7 7 8 7 8 7 7 4 4 4 7 7 4 7 7 4 7 4 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 4 4 7 4 4 4 7 4 7 4 7 7 4 7 7 7 7 4 7 7 4 7 4 7 7 4 7 7 4 4 4 7 7 4 4 4 7 4 4 4 7 4 7 4 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 4 7 4 4 4 7 7 4 7 7 4 7 4 7 7 7 4 7 7 7 4 7 7 4 4 4 7 7 4 7 7 7 4 7 4 7 4 4 4 7 7 4 7 7 4 7 4 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 4 7 4 7 8 8 8 7 4 7 4 7 7 4 7 7 7 7 4 7 7 8 7 8 7 7 4 7 7 4 4 4 7 7 4 7 4 7 8 8 8 7 4 7 4 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 6 6 7 7 6 7 7 8 8 8 7 7 8 7 8 7 7 6 7 7 6 6 6 7 8 7 8 7 7 8 8 8 7 6 6 6 7 7 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 6 7 6 7 8 8 8 7 6 7 6 7 7 4 4 4 7 7 6 7 7 8 7 8 7 7 6 7 7 7 7 4 7 7 6 7 6 7 8 8 8 7 6 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 4 4 7 7 6 7 7 4 7 4 7 8 8 8 7 7 7 4 7 7 6 6 6 7 7 4 7 7 8 7 8 7 7 4 4 4 7 7 6 7 7 4 7 4 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 4 4 7 8 8 8 7 4 7 4 7 7 4 7 7 7 7 4 7 7 8 7 8 7 7 4 7 7 4 4 4 7 7 4 4 4 7 8 8 8 7 4 7 4 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 4 7 4 4 4 7 7 4 7 7 4 7 4 7 7 7 4 7 7 7 4 7 7 4 4 4 7 7 4 7 7 7 4 7 4 7 4 4 4 7 7 4 7 7 4 7 4 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 4 7 7 4 7 7 4 4 7 7 7 4 7 7 7 4 4 7 7 4 4 4 7 4 4 4 7 4 4 4 7 7 7 7 4 7 7 4 7 7 7 4 4 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 4 7 7 4 4 4 7 7 7 4 7 4 4 4 7 7 7 4 7 7 7 7 4 7 4 4 7 7 7 7 4 7 7 7 4 4 7 4 4 4 7 7 7 4 7 4 4 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 4 4 7 7 4 4 4 7 4 4 7 7 7 4 4 4 7 7 4 7 7 4 7 7 7 4 4 4 7 7 7 4 7 7 7 4 4 7 4 4 4 7 7 4 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 4 4 7 7 4 7 7 4 4 7 7 4 4 4 7 7 4 7 7 7 4 4 4 7 7 4 7 7 4 7 7 7 7 4 4 4 7 7 4 7 7 7 4 4 7 4 4 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 4 7 7 8 8 8 7 7 7 4 7 7 4 7 7 7 4 4 4 7 7 7 8 7 4 4 7 7 4 4 4 7 7 7 4 4 7 8 8 8 7 7 7 4 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 4 7 7 4 4 7 7 4 4 4 7 4 4 7 7 7 7 4 7 7 4 4 4 7 4 7 7 7 7 4 7 7 7 7 4 4 7 7 4 4 7 4 4 4 7 7 4 4 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 4 7 7 4 7 7 4 4 7 7 7 4 7 7 7 4 4 7 7 4 4 4 7 4 4 4 7 4 4 4 7 7 7 7 4 7 7 4 7 7 7 4 4 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 4 7 7 8 8 8 7 7 7 6 7 8 8 8 7 7 7 4 7 7 7 7 8 7 6 6 7 7 7 7 8 7 7 7 4 4 7 8 8 8 7 7 7 6 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 6 6 7 7 4 4 4 7 4 4 7 7 7 4 4 4 7 7 6 7 7 4 7 7 7 4 4 4 7 7 7 4 7 7 7 6 6 7 4 4 4 7 7 4 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 4 4 7 7 6 7 7 4 4 7 7 4 4 4 7 7 4 7 7 7 6 6 6 7 7 4 7 7 4 7 7 7 7 4 4 4 7 7 6 7 7 7 4 4 7 4 4 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 4 7 7 8 8 8 7 7 7 4 7 7 4 7 7 7 4 4 4 7 7 7 8 7 4 4 7 7 4 4 4 7 7 7 4 4 7 8 8 8 7 7 7 4 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 4 7 7 4 4 7 7 4 4 4 7 4 4 7 7 7 7 4 7 7 4 4 4 7 4 7 7 7 7 4 7 7 7 7 4 4 7 7 4 4 7 4 4 4 7 7 4 4 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 4 7 7 4 7 4 7 4 4 4 7 4 4 4 7 7 4 4 4 7 4 4 4 7 4 4 4 7 4 7 4 7 7 7 4 7 7 4 7 4 7 4 4 4 7 4 4 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 4 4 7 7 7 7 7 4 4 4 7 4 7 4 7 7 4 4 4 7 7 4 7 7 7 4 7 7 4 4 4 7 7 4 4 4 7 7 7 7 7 4 4 4 7 4 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 4 4 7 7 4 7 7 4 4 4 7 7 8 7 7 7 7 4 7 7 4 4 4 7 4 4 4 7 8 8 8 7 7 4 4 4 7 7 4 7 7 4 4 4 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 4 7 7 7 7 7 7 7 7 7 4 4 4 7 7 4 4 4 7 7 4 7 7 7 4 7 7 4 4 4 7 7 4 7 4 7 7 7 7 7 7 7 7 7 4 4 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 4 4 4 7 7 4 7 7 7 4 4 4 7 7 4 7 7 7 4 7 7 4 4 4 7 7 7 4 7 7 7 7 7 7 4 4 4 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 4 7 7 4 7 7 4 4 4 7 4 4 4 7 7 4 4 4 7 4 4 4 7 4 4 4 7 7 4 7 7 7 4 7 4 7 7 4 7 7 4 4 4 7 4 4 4 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 8 7 7 4 7 4 7 4 4 4 7 4 4 4 7 7 8 8 8 7 4 4 4 7 4 4 4 7 4 7 4 7 7 7 8 7 7 4 7 4 7 4 4 4 7 4 4 4 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 4 4 4 7 4 7 4 7 7 6 6 6 7 7 4 7 7 7 4 7 7 4 4 4 7 7 6 6 6 7 7 7 7 7 4 4 4 7 4 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 7 7 6 6 6 7 7 8 7 7 7 7 6 7 7 8 8 8 7 6 6 6 7 8 8 8 7 7 6 6 6 7 7 8 7 7 6 6 6 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 6 7 7 7 7 7 7 7 7 7 6 6 6 7 7 6 6 6 7 7 6 7 7 7 4 7 7 6 6 6 7 7 6 7 6 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 8 7 7 7 7 7 7 6 6 6 7 7 8 7 7 7 8 8 8 7 7 6 7 7 7 6 7 7 8 8 8 7 7 7 8 7 7 7 7 7 7 6 6 6 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 4 7 7 8 7 7 4 4 4 7 4 4 4 7 7 4 4 4 7 8 8 8 7 4 4 4 7 7 4 7 7 7 4 7 4 7 7 8 7 7 4 4 4 7 4 4 4 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 4 7 7 7 7 7 7 7 4 4 4 7 4 7 7 7 7 7 4 4 7 7 4 7 7 4 7 4 7 7 4 4 7 7 7 4 7 7 7 7 7 7 4 4 4 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 4 7 7 4 7 4 7 7 4 7 7 7 4 4 4 7 4 4 4 7 4 4 4 7 4 4 4 7 7 7 7 4 7 7 4 7 7 4 7 4 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 4 7 4 7 7 7 7 7 7 4 4 4 7 7 4 7 7 4 4 4 7 7 4 7 7 7 7 4 7 7 7 7 7 7 4 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 4 4 7 4 7 7 7 4 4 4 7 4 7 4 7 7 4 7 4 7 7 4 4 7 4 7 4 7 4 4 4 7 7 4 4 4 7 7 4 7 7 4 4 4 7 4 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 4 7 7 4 7 4 7 8 7 7 7 7 7 4 4 7 4 4 4 7 4 4 4 7 7 8 8 7 7 7 4 7 7 7 4 7 7 4 7 4 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 4 7 4 7 4 7 7 7 4 4 4 7 7 4 4 4 7 4 4 4 7 4 4 4 7 4 7 4 7 7 7 4 7 7 4 7 4 7 7 7 4 7 4 4 4 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\n7 8 7 7 7 7 7 7 7 6 6 6 7 8 7 7 7\n7 7 8 8 7 7 6 7 7 6 7 6 7 7 8 8 7\n7 7 8 7 7 7 7 7 7 6 6 6 7 7 8 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 6 7 7 7 7 4 7 7 4 7 4 7 7 6 7 7\n7 6 6 6 7 4 4 4 7 4 4 4 7 6 6 6 7\n7 7 7 6 7 7 4 7 7 4 7 4 7 7 6 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 6 7 7 7 7 7 7 4 7 4 7 7 7 7 7\n7 6 6 6 7 7 4 7 7 4 4 4 7 7 6 7 7\n7 7 6 7 7 7 7 7 7 4 7 4 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 6 6 6 7 8 7 7 7 4 4 4 7 6 7 6 7\n7 6 7 6 7 7 8 8 7 4 7 4 7 6 6 6 7\n7 6 6 6 7 7 8 7 7 4 4 4 7 6 7 6 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 8 7 7 7 7 6 7 7 6 7 6 7 8 7 7 7\n7 7 8 8 7 6 6 6 7 6 6 6 7 7 8 8 7\n7 7 8 7 7 7 6 7 7 6 7 6 7 7 8 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 4 7 7 4 7 4 7 4 7 7 7 4 4 4 7\n7 4 4 4 7 4 4 4 7 4 4 4 7 4 7 4 7\n7 7 4 7 7 4 7 4 7 7 7 4 7 4 4 4 7\n7 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\n7 4 7 4 7 4 4 4 7 4 7 4 7 7 4 7 7\n7 7 4 7 7 4 7 4 7 7 4 7 7 4 4 4 7\n7 4 7 4 7 4 4 4 7 4 7 4 7 7 4 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 4 4 4 7 4 4 4 7 7 4 7 7 4 4 4 7\n7 4 7 4 7 7 4 7 7 4 4 4 7 4 7 4 7\n7 4 4 4 7 4 4 4 7 7 4 7 7 4 4 4 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 4 7 7 4 7 4 7 4 4 4 7 4 7 4 7\n7 4 4 4 7 7 4 7 7 4 7 4 7 7 4 7 7\n7 7 4 7 7 4 7 4 7 4 4 4 7 4 7 4 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 4 4 4 7 7 4 7 7 4 7 4 7 8 8 8 7\n7 7 4 7 7 4 4 4 7 7 4 7 7 8 7 8 7\n7 4 4 4 7 7 4 7 7 4 7 4 7 8 8 8 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 4 4 4 7 4 4 4 7 4 7 4 7 7 4 7 7\n7 7 4 7 7 4 7 4 7 7 4 7 7 4 4 4 7\n7 4 4 4 7 4 4 4 7 4 7 4 7 7 4 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 4 7 4 7 4 4 4 7 7 4 7 7 4 7 4 7\n7 7 4 7 7 7 4 7 7 4 4 4 7 7 4 7 7\n7 4 7 4 7 4 4 4 7 7 4 7 7 4 7 4 7\n7 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\n7 4 7 4 7 8 8 8 7 4 7 4 7 7 4 7 7\n7 7 4 7 7 8 7 8 7 7 4 7 7 4 4 4 7\n7 4 7 4 7 8 8 8 7 4 7 4 7 7 4 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 8 8 8 7 6 6 6 7 7 6 7 7 8 8 8 7\n7 8 7 8 7 7 6 7 7 6 6 6 7 8 7 8 7\n7 8 8 8 7 6 6 6 7 7 6 7 7 8 8 8 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 4 7 7 6 7 6 7 8 8 8 7 6 7 6 7\n7 4 4 4 7 7 6 7 7 8 7 8 7 7 6 7 7\n7 7 4 7 7 6 7 6 7 8 8 8 7 6 7 6 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 4 4 4 7 7 6 7 7 4 7 4 7 8 8 8 7\n7 7 4 7 7 6 6 6 7 7 4 7 7 8 7 8 7\n7 4 4 4 7 7 6 7 7 4 7 4 7 8 8 8 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 4 4 4 7 8 8 8 7 4 7 4 7 7 4 7 7\n7 7 4 7 7 8 7 8 7 7 4 7 7 4 4 4 7\n7 4 4 4 7 8 8 8 7 4 7 4 7 7 4 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 4 7 4 7 4 4 4 7 7 4 7 7 4 7 4 7\n7 7 4 7 7 7 4 7 7 4 4 4 7 7 4 7 7\n7 4 7 4 7 4 4 4 7 7 4 7 7 4 7 4 7\n7 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\n7 7 7 4 7 7 4 7 7 4 4 7 7 7 4 7 7\n7 4 4 7 7 4 4 4 7 4 4 4 7 4 4 4 7\n7 7 7 4 7 7 4 7 7 7 4 4 7 7 4 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 4 4 7 7 4 4 4 7 7 7 4 7 4 4 4 7\n7 7 4 7 7 7 7 4 7 4 4 7 7 7 7 4 7\n7 7 4 4 7 4 4 4 7 7 7 4 7 4 4 4 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 4 7 7 4 4 7 7 4 4 4 7 4 4 7 7\n7 4 4 4 7 7 4 7 7 4 7 7 7 4 4 4 7\n7 7 4 7 7 7 4 4 7 4 4 4 7 7 4 4 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 4 4 4 7 7 4 7 7 4 4 7 7 4 4 4 7\n7 4 7 7 7 4 4 4 7 7 4 7 7 4 7 7 7\n7 4 4 4 7 7 4 7 7 7 4 4 7 4 4 4 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 4 4 7 7 8 8 8 7 7 7 4 7 7 4 7 7\n7 4 4 4 7 7 7 8 7 4 4 7 7 4 4 4 7\n7 7 4 4 7 8 8 8 7 7 7 4 7 7 4 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 4 4 7 7 4 4 7 7 4 4 4 7 4 4 7 7\n7 7 4 7 7 4 4 4 7 4 7 7 7 7 4 7 7\n7 7 4 4 7 7 4 4 7 4 4 4 7 7 4 4 7\n7 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\n7 7 7 4 7 7 4 7 7 4 4 7 7 7 4 7 7\n7 4 4 7 7 4 4 4 7 4 4 4 7 4 4 4 7\n7 7 7 4 7 7 4 7 7 7 4 4 7 7 4 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 4 4 7 7 8 8 8 7 7 7 6 7 8 8 8 7\n7 7 4 7 7 7 7 8 7 6 6 7 7 7 7 8 7\n7 7 4 4 7 8 8 8 7 7 7 6 7 8 8 8 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 4 7 7 6 6 7 7 4 4 4 7 4 4 7 7\n7 4 4 4 7 7 6 7 7 4 7 7 7 4 4 4 7\n7 7 4 7 7 7 6 6 7 4 4 4 7 7 4 4 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 4 4 4 7 7 6 7 7 4 4 7 7 4 4 4 7\n7 4 7 7 7 6 6 6 7 7 4 7 7 4 7 7 7\n7 4 4 4 7 7 6 7 7 7 4 4 7 4 4 4 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 4 4 7 7 8 8 8 7 7 7 4 7 7 4 7 7\n7 4 4 4 7 7 7 8 7 4 4 7 7 4 4 4 7\n7 7 4 4 7 8 8 8 7 7 7 4 7 7 4 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 4 4 7 7 4 4 7 7 4 4 4 7 4 4 7 7\n7 7 4 7 7 4 4 4 7 4 7 7 7 7 4 7 7\n7 7 4 4 7 7 4 4 7 4 4 4 7 7 4 4 7\n7 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\n7 7 4 7 7 4 7 4 7 4 4 4 7 4 4 4 7\n7 4 4 4 7 4 4 4 7 4 4 4 7 4 7 4 7\n7 7 4 7 7 4 7 4 7 4 4 4 7 4 4 4 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 4 4 4 7 7 7 7 7 4 4 4 7 4 7 4 7\n7 4 4 4 7 7 4 7 7 7 4 7 7 4 4 4 7\n7 4 4 4 7 7 7 7 7 4 4 4 7 4 7 4 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 4 4 4 7 7 4 7 7 4 4 4 7 7 8 7 7\n7 7 4 7 7 4 4 4 7 4 4 4 7 8 8 8 7\n7 4 4 4 7 7 4 7 7 4 4 4 7 7 8 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 4 7 4 7 7 7 7 7 7 7 7 7 4 4 4 7\n7 4 4 4 7 7 4 7 7 7 4 7 7 4 4 4 7\n7 4 7 4 7 7 7 7 7 7 7 7 7 4 4 4 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 4 7 7 7 7 7 7 4 4 4 7 7 4 7 7\n7 4 4 4 7 7 4 7 7 7 4 7 7 4 4 4 7\n7 7 4 7 7 7 7 7 7 4 4 4 7 7 4 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 4 7 4 7 7 4 7 7 4 4 4 7 4 4 4 7\n7 4 4 4 7 4 4 4 7 4 4 4 7 7 4 7 7\n7 4 7 4 7 7 4 7 7 4 4 4 7 4 4 4 7\n7 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\n7 7 8 7 7 4 7 4 7 4 4 4 7 4 4 4 7\n7 8 8 8 7 4 4 4 7 4 4 4 7 4 7 4 7\n7 7 8 7 7 4 7 4 7 4 4 4 7 4 4 4 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 6 6 6 7 7 7 7 7 4 4 4 7 4 7 4 7\n7 6 6 6 7 7 4 7 7 7 4 7 7 4 4 4 7\n7 6 6 6 7 7 7 7 7 4 4 4 7 4 7 4 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 6 6 6 7 7 8 7 7 6 6 6 7 7 8 7 7\n7 7 6 7 7 8 8 8 7 6 6 6 7 8 8 8 7\n7 6 6 6 7 7 8 7 7 6 6 6 7 7 8 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 6 7 6 7 7 7 7 7 7 7 7 7 6 6 6 7\n7 6 6 6 7 7 6 7 7 7 4 7 7 6 6 6 7\n7 6 7 6 7 7 7 7 7 7 7 7 7 6 6 6 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 8 7 7 7 7 7 7 6 6 6 7 7 8 7 7\n7 8 8 8 7 7 6 7 7 7 6 7 7 8 8 8 7\n7 7 8 7 7 7 7 7 7 6 6 6 7 7 8 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 4 7 4 7 7 8 7 7 4 4 4 7 4 4 4 7\n7 4 4 4 7 8 8 8 7 4 4 4 7 7 4 7 7\n7 4 7 4 7 7 8 7 7 4 4 4 7 4 4 4 7\n7 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\n7 4 7 7 7 7 7 7 7 4 4 4 7 4 7 7 7\n7 7 4 4 7 7 4 7 7 4 7 4 7 7 4 4 7\n7 7 4 7 7 7 7 7 7 4 4 4 7 7 4 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 4 7 7 7 7 4 7 7 4 7 4 7 7 4 7 7\n7 4 4 4 7 4 4 4 7 4 4 4 7 4 4 4 7\n7 7 7 4 7 7 4 7 7 4 7 4 7 7 4 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 4 7 7 7 7 7 7 4 7 4 7 7 7 7 7\n7 4 4 4 7 7 4 7 7 4 4 4 7 7 4 7 7\n7 7 4 7 7 7 7 7 7 4 7 4 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 4 4 4 7 4 7 7 7 4 4 4 7 4 7 4 7\n7 4 7 4 7 7 4 4 7 4 7 4 7 4 4 4 7\n7 4 4 4 7 7 4 7 7 4 4 4 7 4 7 4 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 4 7 7 7 7 4 7 7 4 7 4 7 8 7 7 7\n7 7 4 4 7 4 4 4 7 4 4 4 7 7 8 8 7\n7 7 4 7 7 7 4 7 7 4 7 4 7 7 8 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 4 7 7 4 7 4 7 4 7 7 7 4 4 4 7\n7 4 4 4 7 4 4 4 7 4 4 4 7 4 7 4 7\n7 7 4 7 7 4 7 4 7 7 7 4 7 4 4 4 7\n7 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\n7 8 7 7 7 7 7 7 7 6 6 6 7 8 7 7 7\n7 7 8 8 7 7 6 7 7 6 7 6 7 7 8 8 7\n7 7 8 7 7 7 7 7 7 6 6 6 7 7 8 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 6 7 7 7 7 4 7 7 4 7 4 7 7 6 7 7\n7 6 6 6 7 4 4 4 7 4 4 4 7 6 6 6 7\n7 7 7 6 7 7 4 7 7 4 7 4 7 7 6 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 6 7 7 7 7 7 7 4 7 4 7 7 7 7 7\n7 6 6 6 7 7 4 7 7 4 4 4 7 7 6 7 7\n7 7 6 7 7 7 7 7 7 4 7 4 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 6 6 6 7 8 7 7 7 4 4 4 7 6 7 6 7\n7 6 7 6 7 7 8 8 7 4 7 4 7 6 6 6 7\n7 6 6 6 7 7 8 7 7 4 4 4 7 6 7 6 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 8 7 7 7 7 6 7 7 6 7 6 7 8 7 7 7\n7 7 8 8 7 6 6 6 7 6 6 6 7 7 8 8 7\n7 7 8 7 7 7 6 7 7 6 7 6 7 7 8 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 4 7 7 4 7 4 7 4 7 7 7 4 4 4 7\n7 4 4 4 7 4 4 4 7 4 4 4 7 4 7 4 7\n7 7 4 7 7 4 7 4 7 7 7 4 7 4 4 4 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7", "metadata": {"source_dataset": "arc_agi", "source_index": 170, "input": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 4, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 7, 4, 7, 7, 7], [7, 7, 4, 4, 7, 7, 4, 7, 7, 4, 7, 4, 7, 7, 4, 4, 7], [7, 7, 4, 7, 7, 7, 7, 7, 7, 4, 4, 4, 7, 7, 4, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 4, 7, 7, 7, 7, 4, 7, 7, 4, 7, 4, 7, 7, 4, 7, 7], [7, 4, 4, 4, 7, 4, 4, 4, 7, 4, 4, 4, 7, 4, 4, 4, 7], [7, 7, 7, 4, 7, 7, 4, 7, 7, 4, 7, 4, 7, 7, 4, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 4, 7, 7, 7, 7, 7, 7, 4, 7, 4, 7, 7, 7, 7, 7], [7, 4, 4, 4, 7, 7, 4, 7, 7, 4, 4, 4, 7, 7, 4, 7, 7], [7, 7, 4, 7, 7, 7, 7, 7, 7, 4, 7, 4, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 4, 4, 4, 7, 4, 7, 7, 7, 4, 4, 4, 7, 4, 7, 4, 7], [7, 4, 7, 4, 7, 7, 4, 4, 7, 4, 7, 4, 7, 4, 4, 4, 7], [7, 4, 4, 4, 7, 7, 4, 7, 7, 4, 4, 4, 7, 4, 7, 4, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 4, 7, 7, 7, 7, 4, 7, 7, 4, 7, 4, 7, 8, 7, 7, 7], [7, 7, 4, 4, 7, 4, 4, 4, 7, 4, 4, 4, 7, 7, 8, 8, 7], [7, 7, 4, 7, 7, 7, 4, 7, 7, 4, 7, 4, 7, 7, 8, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 4, 7, 7, 4, 7, 4, 7, 4, 7, 7, 7, 4, 4, 4, 7], [7, 4, 4, 4, 7, 4, 4, 4, 7, 4, 4, 4, 7, 4, 7, 4, 7], [7, 7, 4, 7, 7, 4, 7, 4, 7, 7, 7, 4, 7, 4, 4, 4, 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, 8, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 7, 8, 7, 7, 7], [7, 7, 8, 8, 7, 7, 6, 7, 7, 6, 7, 6, 7, 7, 8, 8, 7], [7, 7, 8, 7, 7, 7, 7, 7, 7, 6, 6, 6, 7, 7, 8, 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, 4, 7, 7, 4, 7, 4, 7, 7, 6, 7, 7], [7, 6, 6, 6, 7, 4, 4, 4, 7, 4, 4, 4, 7, 6, 6, 6, 7], [7, 7, 7, 6, 7, 7, 4, 7, 7, 4, 7, 4, 7, 7, 6, 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, 4, 7, 4, 7, 7, 7, 7, 7], [7, 6, 6, 6, 7, 7, 4, 7, 7, 4, 4, 4, 7, 7, 6, 7, 7], [7, 7, 6, 7, 7, 7, 7, 7, 7, 4, 7, 4, 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, 6, 7, 8, 7, 7, 7, 4, 4, 4, 7, 6, 7, 6, 7], [7, 6, 7, 6, 7, 7, 8, 8, 7, 4, 7, 4, 7, 6, 6, 6, 7], [7, 6, 6, 6, 7, 7, 8, 7, 7, 4, 4, 4, 7, 6, 7, 6, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 8, 7, 7, 7, 7, 6, 7, 7, 6, 7, 6, 7, 8, 7, 7, 7], [7, 7, 8, 8, 7, 6, 6, 6, 7, 6, 6, 6, 7, 7, 8, 8, 7], [7, 7, 8, 7, 7, 7, 6, 7, 7, 6, 7, 6, 7, 7, 8, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 4, 7, 7, 4, 7, 4, 7, 4, 7, 7, 7, 4, 4, 4, 7], [7, 4, 4, 4, 7, 4, 4, 4, 7, 4, 4, 4, 7, 4, 7, 4, 7], [7, 7, 4, 7, 7, 4, 7, 4, 7, 7, 7, 4, 7, 4, 4, 4, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "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": 170, "input": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 4, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 7, 4, 7, 7, 7], [7, 7, 4, 4, 7, 7, 4, 7, 7, 4, 7, 4, 7, 7, 4, 4, 7], [7, 7, 4, 7, 7, 7, 7, 7, 7, 4, 4, 4, 7, 7, 4, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 4, 7, 7, 7, 7, 4, 7, 7, 4, 7, 4, 7, 7, 4, 7, 7], [7, 4, 4, 4, 7, 4, 4, 4, 7, 4, 4, 4, 7, 4, 4, 4, 7], [7, 7, 7, 4, 7, 7, 4, 7, 7, 4, 7, 4, 7, 7, 4, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 4, 7, 7, 7, 7, 7, 7, 4, 7, 4, 7, 7, 7, 7, 7], [7, 4, 4, 4, 7, 7, 4, 7, 7, 4, 4, 4, 7, 7, 4, 7, 7], [7, 7, 4, 7, 7, 7, 7, 7, 7, 4, 7, 4, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 4, 4, 4, 7, 4, 7, 7, 7, 4, 4, 4, 7, 4, 7, 4, 7], [7, 4, 7, 4, 7, 7, 4, 4, 7, 4, 7, 4, 7, 4, 4, 4, 7], [7, 4, 4, 4, 7, 7, 4, 7, 7, 4, 4, 4, 7, 4, 7, 4, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 4, 7, 7, 7, 7, 4, 7, 7, 4, 7, 4, 7, 8, 7, 7, 7], [7, 7, 4, 4, 7, 4, 4, 4, 7, 4, 4, 4, 7, 7, 8, 8, 7], [7, 7, 4, 7, 7, 7, 4, 7, 7, 4, 7, 4, 7, 7, 8, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 4, 7, 7, 4, 7, 4, 7, 4, 7, 7, 7, 4, 4, 4, 7], [7, 4, 4, 4, 7, 4, 4, 4, 7, 4, 4, 4, 7, 4, 7, 4, 7], [7, 7, 4, 7, 7, 4, 7, 4, 7, 7, 7, 4, 7, 4, 4, 4, 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, 8, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 7, 8, 7, 7, 7], [7, 7, 8, 8, 7, 7, 6, 7, 7, 6, 7, 6, 7, 7, 8, 8, 7], [7, 7, 8, 7, 7, 7, 7, 7, 7, 6, 6, 6, 7, 7, 8, 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, 4, 7, 7, 4, 7, 4, 7, 7, 6, 7, 7], [7, 6, 6, 6, 7, 4, 4, 4, 7, 4, 4, 4, 7, 6, 6, 6, 7], [7, 7, 7, 6, 7, 7, 4, 7, 7, 4, 7, 4, 7, 7, 6, 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, 4, 7, 4, 7, 7, 7, 7, 7], [7, 6, 6, 6, 7, 7, 4, 7, 7, 4, 4, 4, 7, 7, 6, 7, 7], [7, 7, 6, 7, 7, 7, 7, 7, 7, 4, 7, 4, 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, 6, 7, 8, 7, 7, 7, 4, 4, 4, 7, 6, 7, 6, 7], [7, 6, 7, 6, 7, 7, 8, 8, 7, 4, 7, 4, 7, 6, 6, 6, 7], [7, 6, 6, 6, 7, 7, 8, 7, 7, 4, 4, 4, 7, 6, 7, 6, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 8, 7, 7, 7, 7, 6, 7, 7, 6, 7, 6, 7, 8, 7, 7, 7], [7, 7, 8, 8, 7, 6, 6, 6, 7, 6, 6, 6, 7, 7, 8, 8, 7], [7, 7, 8, 7, 7, 7, 6, 7, 7, 6, 7, 6, 7, 7, 8, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 4, 7, 7, 4, 7, 4, 7, 4, 7, 7, 7, 4, 4, 4, 7], [7, 4, 4, 4, 7, 4, 4, 4, 7, 4, 4, 4, 7, 4, 7, 4, 7], [7, 7, 4, 7, 7, 4, 7, 4, 7, 7, 7, 4, 7, 4, 4, 4, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "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: 1 1 1 1 1 1 1 1 1 1 1 1 1 4 4 4 4 4 4 4 4 4 4 1 1 4 3 3 3 3 3 3 3 3 4 1 1 4 3 2 2 2 2 2 2 3 4 1 1 4 3 2 7 7 7 7 2 3 4 1 1 4 3 2 7 5 5 7 2 3 4 1 1 4 3 2 7 5 5 7 2 3 4 1 1 4 3 2 7 7 7 7 2 3 4 1 1 4 3 2 2 2 2 2 2 3 4 1 1 4 3 3 3 3 3 3 3 3 4 1 1 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 1 1 1 1 1 1 1 1 Output: 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 5 5 7 2 2 2 2 2 2 2 2 7 5 5 7 2 3 3 3 3 3 3 2 7 5 5 7 2 3 4 4 4 4 3 2 7 5 5 7 2 3 4 1 1 4 3 2 7 5 5 7 2 3 4 1 1 4 3 2 7 5 5 7 2 3 4 4 4 4 3 2 7 5 5 7 2 3 3 3 3 3 3 2 7 5 5 7 2 2 2 2 2 2 2 2 7 5 5 7 7 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 Example 2: Input: 4 4 4 4 4 4 4 3 3 3 3 4 4 3 8 8 3 4 4 3 8 8 3 4 4 3 3 3 3 4 4 4 4 4 4 4 Output: 8 8 8 8 8 8 8 3 3 3 3 8 8 3 4 4 3 8 8 3 4 4 3 8 8 3 3 3 3 8 8 8 8 8 8 8 Example 3: Input: 9 9 9 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 9 9 4 1 1 1 1 1 1 4 9 9 4 1 3 3 3 3 1 4 9 9 4 1 3 2 2 3 1 4 9 9 4 1 3 2 2 3 1 4 9 9 4 1 3 3 3 3 1 4 9 9 4 1 1 1 1 1 1 4 9 9 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 9 9 9 9 Output: 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 2 2 3 1 1 1 1 1 1 3 2 2 3 1 4 4 4 4 1 3 2 2 3 1 4 9 9 4 1 3 2 2 3 1 4 9 9 4 1 3 2 2 3 1 4 4 4 4 1 3 2 2 3 1 1 1 1 1 1 3 2 2 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 Example 4: Input: 5 5 5 5 5 5 5 5 5 3 3 3 3 3 3 5 5 3 4 4 4 4 3 5 5 3 4 1 1 4 3 5 5 3 4 1 1 4 3 5 5 3 4 4 4 4 3 5 5 3 3 3 3 3 3 5 5 5 5 5 5 5 5 5 Output: 1 1 1 1 1 1 1 1 1 4 4 4 4 4 4 1 1 4 3 3 3 3 4 1 1 4 3 5 5 3 4 1 1 4 3 5 5 3 4 1 1 4 3 3 3 3 4 1 1 4 4 4 4 4 4 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: 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 5 5 4 1 1 1 1 1 1 1 1 1 1 4 5 5 4 1 2 2 2 2 2 2 2 2 1 4 5 5 4 1 2 9 9 9 9 9 9 2 1 4 5 5 4 1 2 9 8 8 8 8 9 2 1 4 5 5 4 1 2 9 8 7 7 8 9 2 1 4 5 5 4 1 2 9 8 7 7 8 9 2 1 4 5 5 4 1 2 9 8 8 8 8 9 2 1 4 5 5 4 1 2 9 9 9 9 9 9 2 1 4 5 5 4 1 2 2 2 2 2 2 2 2 1 4 5 5 4 1 1 1 1 1 1 1 1 1 1 4 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
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 8 8 8 8 8 8 8 8 8 8 8 8 7\n7 8 9 9 9 9 9 9 9 9 9 9 8 7\n7 8 9 2 2 2 2 2 2 2 2 9 8 7\n7 8 9 2 1 1 1 1 1 1 2 9 8 7\n7 8 9 2 1 4 4 4 4 1 2 9 8 7\n7 8 9 2 1 4 5 5 4 1 2 9 8 7\n7 8 9 2 1 4 5 5 4 1 2 9 8 7\n7 8 9 2 1 4 4 4 4 1 2 9 8 7\n7 8 9 2 1 1 1 1 1 1 2 9 8 7\n7 8 9 2 2 2 2 2 2 2 2 9 8 7\n7 8 9 9 9 9 9 9 9 9 9 9 8 7\n7 8 8 8 8 8 8 8 8 8 8 8 8 7\n7 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:\n1 1 1 1 1 1 1 1 1 1 1 1\n1 4 4 4 4 4 4 4 4 4 4 1\n1 4 3 3 3 3 3 3 3 3 4 1\n1 4 3 2 2 2 2 2 2 3 4 1\n1 4 3 2 7 7 7 7 2 3 4 1\n1 4 3 2 7 5 5 7 2 3 4 1\n1 4 3 2 7 5 5 7 2 3 4 1\n1 4 3 2 7 7 7 7 2 3 4 1\n1 4 3 2 2 2 2 2 2 3 4 1\n1 4 3 3 3 3 3 3 3 3 4 1\n1 4 4 4 4 4 4 4 4 4 4 1\n1 1 1 1 1 1 1 1 1 1 1 1\nOutput:\n5 5 5 5 5 5 5 5 5 5 5 5\n5 7 7 7 7 7 7 7 7 7 7 5\n5 7 2 2 2 2 2 2 2 2 7 5\n5 7 2 3 3 3 3 3 3 2 7 5\n5 7 2 3 4 4 4 4 3 2 7 5\n5 7 2 3 4 1 1 4 3 2 7 5\n5 7 2 3 4 1 1 4 3 2 7 5\n5 7 2 3 4 4 4 4 3 2 7 5\n5 7 2 3 3 3 3 3 3 2 7 5\n5 7 2 2 2 2 2 2 2 2 7 5\n5 7 7 7 7 7 7 7 7 7 7 5\n5 5 5 5 5 5 5 5 5 5 5 5\n\nExample 2:\n\nInput:\n4 4 4 4 4 4\n4 3 3 3 3 4\n4 3 8 8 3 4\n4 3 8 8 3 4\n4 3 3 3 3 4\n4 4 4 4 4 4\nOutput:\n8 8 8 8 8 8\n8 3 3 3 3 8\n8 3 4 4 3 8\n8 3 4 4 3 8\n8 3 3 3 3 8\n8 8 8 8 8 8\n\nExample 3:\n\nInput:\n9 9 9 9 9 9 9 9 9 9\n9 4 4 4 4 4 4 4 4 9\n9 4 1 1 1 1 1 1 4 9\n9 4 1 3 3 3 3 1 4 9\n9 4 1 3 2 2 3 1 4 9\n9 4 1 3 2 2 3 1 4 9\n9 4 1 3 3 3 3 1 4 9\n9 4 1 1 1 1 1 1 4 9\n9 4 4 4 4 4 4 4 4 9\n9 9 9 9 9 9 9 9 9 9\nOutput:\n2 2 2 2 2 2 2 2 2 2\n2 3 3 3 3 3 3 3 3 2\n2 3 1 1 1 1 1 1 3 2\n2 3 1 4 4 4 4 1 3 2\n2 3 1 4 9 9 4 1 3 2\n2 3 1 4 9 9 4 1 3 2\n2 3 1 4 4 4 4 1 3 2\n2 3 1 1 1 1 1 1 3 2\n2 3 3 3 3 3 3 3 3 2\n2 2 2 2 2 2 2 2 2 2\n\nExample 4:\n\nInput:\n5 5 5 5 5 5 5 5\n5 3 3 3 3 3 3 5\n5 3 4 4 4 4 3 5\n5 3 4 1 1 4 3 5\n5 3 4 1 1 4 3 5\n5 3 4 4 4 4 3 5\n5 3 3 3 3 3 3 5\n5 5 5 5 5 5 5 5\nOutput:\n1 1 1 1 1 1 1 1\n1 4 4 4 4 4 4 1\n1 4 3 3 3 3 4 1\n1 4 3 5 5 3 4 1\n1 4 3 5 5 3 4 1\n1 4 3 3 3 3 4 1\n1 4 4 4 4 4 4 1\n1 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:\n5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 4 4 4 4 4 4 4 4 4 4 4 4 5\n5 4 1 1 1 1 1 1 1 1 1 1 4 5\n5 4 1 2 2 2 2 2 2 2 2 1 4 5\n5 4 1 2 9 9 9 9 9 9 2 1 4 5\n5 4 1 2 9 8 8 8 8 9 2 1 4 5\n5 4 1 2 9 8 7 7 8 9 2 1 4 5\n5 4 1 2 9 8 7 7 8 9 2 1 4 5\n5 4 1 2 9 8 8 8 8 9 2 1 4 5\n5 4 1 2 9 9 9 9 9 9 2 1 4 5\n5 4 1 2 2 2 2 2 2 2 2 1 4 5\n5 4 1 1 1 1 1 1 1 1 1 1 4 5\n5 4 4 4 4 4 4 4 4 4 4 4 4 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5\n", "answer": "7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 8 8 8 8 8 8 8 8 8 8 8 8 7\n7 8 9 9 9 9 9 9 9 9 9 9 8 7\n7 8 9 2 2 2 2 2 2 2 2 9 8 7\n7 8 9 2 1 1 1 1 1 1 2 9 8 7\n7 8 9 2 1 4 4 4 4 1 2 9 8 7\n7 8 9 2 1 4 5 5 4 1 2 9 8 7\n7 8 9 2 1 4 5 5 4 1 2 9 8 7\n7 8 9 2 1 4 4 4 4 1 2 9 8 7\n7 8 9 2 1 1 1 1 1 1 2 9 8 7\n7 8 9 2 2 2 2 2 2 2 2 9 8 7\n7 8 9 9 9 9 9 9 9 9 9 9 8 7\n7 8 8 8 8 8 8 8 8 8 8 8 8 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7", "metadata": {"source_dataset": "arc_agi", "source_index": 171, "input": [[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, 5], [5, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 5], [5, 4, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 5], [5, 4, 1, 2, 9, 9, 9, 9, 9, 9, 2, 1, 4, 5], [5, 4, 1, 2, 9, 8, 8, 8, 8, 9, 2, 1, 4, 5], [5, 4, 1, 2, 9, 8, 7, 7, 8, 9, 2, 1, 4, 5], [5, 4, 1, 2, 9, 8, 7, 7, 8, 9, 2, 1, 4, 5], [5, 4, 1, 2, 9, 8, 8, 8, 8, 9, 2, 1, 4, 5], [5, 4, 1, 2, 9, 9, 9, 9, 9, 9, 2, 1, 4, 5], [5, 4, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 5], [5, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 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]], "output": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7], [7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7], [7, 8, 9, 2, 2, 2, 2, 2, 2, 2, 2, 9, 8, 7], [7, 8, 9, 2, 1, 1, 1, 1, 1, 1, 2, 9, 8, 7], [7, 8, 9, 2, 1, 4, 4, 4, 4, 1, 2, 9, 8, 7], [7, 8, 9, 2, 1, 4, 5, 5, 4, 1, 2, 9, 8, 7], [7, 8, 9, 2, 1, 4, 5, 5, 4, 1, 2, 9, 8, 7], [7, 8, 9, 2, 1, 4, 4, 4, 4, 1, 2, 9, 8, 7], [7, 8, 9, 2, 1, 1, 1, 1, 1, 1, 2, 9, 8, 7], [7, 8, 9, 2, 2, 2, 2, 2, 2, 2, 2, 9, 8, 7], [7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7], [7, 8, 8, 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]], "task_id": "85c4e7cd", "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": 171, "input": [[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, 5], [5, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 5], [5, 4, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 5], [5, 4, 1, 2, 9, 9, 9, 9, 9, 9, 2, 1, 4, 5], [5, 4, 1, 2, 9, 8, 8, 8, 8, 9, 2, 1, 4, 5], [5, 4, 1, 2, 9, 8, 7, 7, 8, 9, 2, 1, 4, 5], [5, 4, 1, 2, 9, 8, 7, 7, 8, 9, 2, 1, 4, 5], [5, 4, 1, 2, 9, 8, 8, 8, 8, 9, 2, 1, 4, 5], [5, 4, 1, 2, 9, 9, 9, 9, 9, 9, 2, 1, 4, 5], [5, 4, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 4, 5], [5, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 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]], "output": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7], [7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7], [7, 8, 9, 2, 2, 2, 2, 2, 2, 2, 2, 9, 8, 7], [7, 8, 9, 2, 1, 1, 1, 1, 1, 1, 2, 9, 8, 7], [7, 8, 9, 2, 1, 4, 4, 4, 4, 1, 2, 9, 8, 7], [7, 8, 9, 2, 1, 4, 5, 5, 4, 1, 2, 9, 8, 7], [7, 8, 9, 2, 1, 4, 5, 5, 4, 1, 2, 9, 8, 7], [7, 8, 9, 2, 1, 4, 4, 4, 4, 1, 2, 9, 8, 7], [7, 8, 9, 2, 1, 1, 1, 1, 1, 1, 2, 9, 8, 7], [7, 8, 9, 2, 2, 2, 2, 2, 2, 2, 2, 9, 8, 7], [7, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 7], [7, 8, 8, 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]], "task_id": "85c4e7cd", "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 4 0 6 6 0 6 6 0 4 6 0 6 4 0 Output: 6 6 4 0 6 6 0 6 6 0 4 6 0 6 4 0 0 6 4 0 6 0 4 6 6 6 0 6 6 6 4 0 6 6 4 0 6 6 0 6 6 0 4 6 0 6 4 0 0 6 4 0 6 0 4 6 6 6 0 6 6 6 4 0 6 6 4 0 6 6 0 6 6 0 4 6 0 6 4 0 Example 2: Input: 1 3 1 2 3 2 3 1 2 1 3 2 3 2 1 2 Output: 1 3 1 2 3 2 3 1 2 1 3 2 3 2 1 2 3 2 1 2 2 1 3 2 3 2 3 1 1 3 1 2 1 3 1 2 3 2 3 1 2 1 3 2 3 2 1 2 3 2 1 2 2 1 3 2 3 2 3 1 1 3 1 2 1 3 1 2 3 2 3 1 2 1 3 2 3 2 1 2 Example 3: Input: 6 2 6 2 2 2 9 6 2 6 2 2 2 9 6 9 Output: 6 2 6 2 2 2 9 6 2 6 2 2 2 9 6 9 2 9 6 9 2 6 2 2 2 2 9 6 6 2 6 2 6 2 6 2 2 2 9 6 2 6 2 2 2 9 6 9 2 9 6 9 2 6 2 2 2 2 9 6 6 2 6 2 6 2 6 2 2 2 9 6 2 6 2 2 2 9 6 9 Example 4: Input: 5 1 1 1 5 5 1 1 1 1 1 1 5 1 5 1 Output: 5 1 1 1 5 5 1 1 1 1 1 1 5 1 5 1 5 1 5 1 1 1 1 1 5 5 1 1 5 1 1 1 5 1 1 1 5 5 1 1 1 1 1 1 5 1 5 1 5 1 5 1 1 1 1 1 5 5 1 1 5 1 1 1 5 1 1 1 5 5 1 1 1 1 1 1 5 1 5 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 2 1 0 1 2 2 0 2 2 2 2 2 1 2 2
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "0 2 1 0\n1 2 2 0\n2 2 2 2\n2 1 2 2\n2 1 2 2\n2 2 2 2\n1 2 2 0\n0 2 1 0\n0 2 1 0\n1 2 2 0\n2 2 2 2\n2 1 2 2\n2 1 2 2\n2 2 2 2\n1 2 2 0\n0 2 1 0\n0 2 1 0\n1 2 2 0\n2 2 2 2\n2 1 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:\n6 6 4 0\n6 6 0 6\n6 0 4 6\n0 6 4 0\nOutput:\n6 6 4 0\n6 6 0 6\n6 0 4 6\n0 6 4 0\n0 6 4 0\n6 0 4 6\n6 6 0 6\n6 6 4 0\n6 6 4 0\n6 6 0 6\n6 0 4 6\n0 6 4 0\n0 6 4 0\n6 0 4 6\n6 6 0 6\n6 6 4 0\n6 6 4 0\n6 6 0 6\n6 0 4 6\n0 6 4 0\n\nExample 2:\n\nInput:\n1 3 1 2\n3 2 3 1\n2 1 3 2\n3 2 1 2\nOutput:\n1 3 1 2\n3 2 3 1\n2 1 3 2\n3 2 1 2\n3 2 1 2\n2 1 3 2\n3 2 3 1\n1 3 1 2\n1 3 1 2\n3 2 3 1\n2 1 3 2\n3 2 1 2\n3 2 1 2\n2 1 3 2\n3 2 3 1\n1 3 1 2\n1 3 1 2\n3 2 3 1\n2 1 3 2\n3 2 1 2\n\nExample 3:\n\nInput:\n6 2 6 2\n2 2 9 6\n2 6 2 2\n2 9 6 9\nOutput:\n6 2 6 2\n2 2 9 6\n2 6 2 2\n2 9 6 9\n2 9 6 9\n2 6 2 2\n2 2 9 6\n6 2 6 2\n6 2 6 2\n2 2 9 6\n2 6 2 2\n2 9 6 9\n2 9 6 9\n2 6 2 2\n2 2 9 6\n6 2 6 2\n6 2 6 2\n2 2 9 6\n2 6 2 2\n2 9 6 9\n\nExample 4:\n\nInput:\n5 1 1 1\n5 5 1 1\n1 1 1 1\n5 1 5 1\nOutput:\n5 1 1 1\n5 5 1 1\n1 1 1 1\n5 1 5 1\n5 1 5 1\n1 1 1 1\n5 5 1 1\n5 1 1 1\n5 1 1 1\n5 5 1 1\n1 1 1 1\n5 1 5 1\n5 1 5 1\n1 1 1 1\n5 5 1 1\n5 1 1 1\n5 1 1 1\n5 5 1 1\n1 1 1 1\n5 1 5 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 2 1 0\n1 2 2 0\n2 2 2 2\n2 1 2 2\n", "answer": "0 2 1 0\n1 2 2 0\n2 2 2 2\n2 1 2 2\n2 1 2 2\n2 2 2 2\n1 2 2 0\n0 2 1 0\n0 2 1 0\n1 2 2 0\n2 2 2 2\n2 1 2 2\n2 1 2 2\n2 2 2 2\n1 2 2 0\n0 2 1 0\n0 2 1 0\n1 2 2 0\n2 2 2 2\n2 1 2 2", "metadata": {"source_dataset": "arc_agi", "source_index": 172, "input": [[0, 2, 1, 0], [1, 2, 2, 0], [2, 2, 2, 2], [2, 1, 2, 2]], "output": [[0, 2, 1, 0], [1, 2, 2, 0], [2, 2, 2, 2], [2, 1, 2, 2], [2, 1, 2, 2], [2, 2, 2, 2], [1, 2, 2, 0], [0, 2, 1, 0], [0, 2, 1, 0], [1, 2, 2, 0], [2, 2, 2, 2], [2, 1, 2, 2], [2, 1, 2, 2], [2, 2, 2, 2], [1, 2, 2, 0], [0, 2, 1, 0], [0, 2, 1, 0], [1, 2, 2, 0], [2, 2, 2, 2], [2, 1, 2, 2]], "task_id": "bc4146bd", "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": 172, "input": [[0, 2, 1, 0], [1, 2, 2, 0], [2, 2, 2, 2], [2, 1, 2, 2]], "output": [[0, 2, 1, 0], [1, 2, 2, 0], [2, 2, 2, 2], [2, 1, 2, 2], [2, 1, 2, 2], [2, 2, 2, 2], [1, 2, 2, 0], [0, 2, 1, 0], [0, 2, 1, 0], [1, 2, 2, 0], [2, 2, 2, 2], [2, 1, 2, 2], [2, 1, 2, 2], [2, 2, 2, 2], [1, 2, 2, 0], [0, 2, 1, 0], [0, 2, 1, 0], [1, 2, 2, 0], [2, 2, 2, 2], [2, 1, 2, 2]], "task_id": "bc4146bd", "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 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 4 4 4 4 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 9 4 4 4 4 0 4 0 4 4 4 9 4 4 4 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 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 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 9 4 4 4 4 4 4 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 0 4 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 0 0 0 4 4 0 4 4 4 4 9 0 4 4 4 0 4 0 4 4 0 9 4 4 4 4 0 4 4 4 0 0 0 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 4 0 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 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 Example 2: Input: 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 4 4 4 4 4 4 4 4 6 4 4 6 4 4 4 4 4 4 4 4 6 6 6 6 4 4 4 4 9 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 9 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 9 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 4 4 4 6 4 4 4 4 4 4 4 6 4 4 4 6 4 4 4 4 4 4 4 6 4 4 4 6 4 4 6 6 6 6 4 6 4 4 4 6 4 4 6 4 4 6 4 6 4 4 4 6 4 4 6 6 6 6 4 6 4 4 9 6 4 4 4 4 4 4 4 6 9 4 4 6 4 4 4 4 4 4 4 6 4 4 4 6 6 6 6 6 6 6 6 6 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 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 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 4 4 4 4 4 4 4 4 4 4 4 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 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 3 4 4 3 4 4 9 4 4 4 4 4 4 4 4 3 4 4 3 4 4 4 4 4 4 4 4 4 4 4 3 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 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 9 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 9 3 4 4 4 3 3 3 3 4 3 4 4 4 4 4 3 4 4 4 3 4 4 3 4 3 9 4 4 4 4 3 4 4 4 3 4 4 3 4 3 4 4 4 4 4 3 4 4 4 3 3 3 3 4 3 4 4 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 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 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 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 4 4 4 4 4 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 5 4 4 4 4 4 4 4 4 4 4 4 4 5 4 5 4 4 4 9 4 4 4 4 4 4 4 4 5 4 5 4 4 4 4 4 4 9 4 4 4 4 4 5 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 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 4 4 4 4
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "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\n4 4 4 4 4 9 4 4 4 4 4 4 4 4 4\n4 4 5 5 5 5 5 5 5 5 5 5 5 4 4\n4 4 5 4 4 4 4 4 4 4 4 4 5 4 4\n4 4 5 4 4 4 4 4 4 4 4 4 5 4 4\n4 4 5 4 4 4 4 5 5 5 4 4 5 4 4\n4 4 5 4 4 4 4 5 4 5 4 4 5 9 4\n4 4 5 4 4 4 4 5 4 5 4 4 5 4 4\n4 9 5 4 4 4 4 5 5 5 4 4 5 4 4\n4 4 5 4 4 4 4 4 4 4 4 4 5 4 4\n4 4 5 5 5 5 5 5 5 5 5 5 5 4 4\n4 4 4 4 4 4 4 4 9 4 4 4 4 4 4\n4 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", "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\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 9 4 4 4 4 4 4 4 4\n4 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\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 0 0 0 4 4 4 4 4\n4 4 9 4 4 4 4 0 4 0 4 4 4 9 4\n4 4 4 4 4 4 4 0 0 0 4 4 4 4 4\n4 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\n4 4 4 4 4 4 4 4 4 9 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\nOutput:\n4 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\n4 4 4 4 4 4 9 4 4 4 4 4 4 4 4\n4 4 4 0 0 0 0 0 0 0 0 0 0 4 4\n4 4 4 0 4 4 4 4 4 4 4 4 0 4 4\n4 4 4 0 4 4 4 4 4 4 4 4 0 4 4\n4 4 4 0 4 4 4 0 0 0 4 4 0 4 4\n4 4 9 0 4 4 4 0 4 0 4 4 0 9 4\n4 4 4 0 4 4 4 0 0 0 4 4 0 4 4\n4 4 4 0 4 4 4 4 4 4 4 4 0 4 4\n4 4 4 0 0 0 0 0 0 0 0 0 0 4 4\n4 4 4 4 4 4 4 4 4 9 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n\nExample 2:\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 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\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 6 6 6 6 4 4 4 4\n4 4 4 4 6 4 4 6 4 4 4 4\n4 4 4 4 6 6 6 6 4 4 4 4\n9 4 4 4 4 4 4 4 4 4 9 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 9 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\nOutput:\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 9 4 4 4 4 4 4\n4 6 6 6 6 6 6 6 6 6 4 4\n4 6 4 4 4 4 4 4 4 6 4 4\n4 6 4 4 4 4 4 4 4 6 4 4\n4 6 4 4 6 6 6 6 4 6 4 4\n4 6 4 4 6 4 4 6 4 6 4 4\n4 6 4 4 6 6 6 6 4 6 4 4\n9 6 4 4 4 4 4 4 4 6 9 4\n4 6 4 4 4 4 4 4 4 6 4 4\n4 6 6 6 6 6 6 6 6 6 4 4\n4 4 4 4 4 9 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n\nExample 3:\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 9 4 4 4 4 4 4\n4 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\n4 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\n4 9 4 4 4 4 3 3 3 3 4 4 4 4 4\n4 4 4 4 4 4 3 4 4 3 4 4 9 4 4\n4 4 4 4 4 4 3 4 4 3 4 4 4 4 4\n4 4 4 4 4 4 3 3 3 3 4 4 4 4 4\n4 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\n4 4 4 4 4 4 9 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\nOutput:\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 9 4 4 4 4 4 4\n4 4 3 3 3 3 3 3 3 3 3 3 4 4 4\n4 4 3 4 4 4 4 4 4 4 4 3 4 4 4\n4 4 3 4 4 4 4 4 4 4 4 3 4 4 4\n4 4 3 4 4 4 4 4 4 4 4 3 4 4 4\n4 9 3 4 4 4 3 3 3 3 4 3 4 4 4\n4 4 3 4 4 4 3 4 4 3 4 3 9 4 4\n4 4 3 4 4 4 3 4 4 3 4 3 4 4 4\n4 4 3 4 4 4 3 3 3 3 4 3 4 4 4\n4 4 3 4 4 4 4 4 4 4 4 3 4 4 4\n4 4 3 3 3 3 3 3 3 3 3 3 4 4 4\n4 4 4 4 4 4 9 4 4 4 4 4 4 4 4\n4 4 4 4 4 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 4 4 4 4\n4 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\n4 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\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 5 5 5 4 4 4 4 4\n4 4 4 4 4 4 4 5 4 5 4 4 4 9 4\n4 4 4 4 4 4 4 5 4 5 4 4 4 4 4\n4 9 4 4 4 4 4 5 5 5 4 4 4 4 4\n4 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\n4 4 4 4 4 4 4 4 9 4 4 4 4 4 4\n4 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\n", "answer": "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\n4 4 4 4 4 9 4 4 4 4 4 4 4 4 4\n4 4 5 5 5 5 5 5 5 5 5 5 5 4 4\n4 4 5 4 4 4 4 4 4 4 4 4 5 4 4\n4 4 5 4 4 4 4 4 4 4 4 4 5 4 4\n4 4 5 4 4 4 4 5 5 5 4 4 5 4 4\n4 4 5 4 4 4 4 5 4 5 4 4 5 9 4\n4 4 5 4 4 4 4 5 4 5 4 4 5 4 4\n4 9 5 4 4 4 4 5 5 5 4 4 5 4 4\n4 4 5 4 4 4 4 4 4 4 4 4 5 4 4\n4 4 5 5 5 5 5 5 5 5 5 5 5 4 4\n4 4 4 4 4 4 4 4 9 4 4 4 4 4 4\n4 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", "metadata": {"source_dataset": "arc_agi", "source_index": 173, "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, 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, 4, 4, 4, 4, 4, 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, 5, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 9, 4], [4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4], [4, 9, 4, 4, 4, 4, 4, 5, 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, 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, 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, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4], [4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4], [4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4], [4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4], [4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 9, 4], [4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 4], [4, 9, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4], [4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4], [4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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, 4, 4, 4, 4]], "task_id": "928ad970", "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": 173, "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, 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, 4, 4, 4, 4, 4, 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, 5, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 9, 4], [4, 4, 4, 4, 4, 4, 4, 5, 4, 5, 4, 4, 4, 4, 4], [4, 9, 4, 4, 4, 4, 4, 5, 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, 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, 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, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4], [4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4], [4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4], [4, 4, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4], [4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 9, 4], [4, 4, 5, 4, 4, 4, 4, 5, 4, 5, 4, 4, 5, 4, 4], [4, 9, 5, 4, 4, 4, 4, 5, 5, 5, 4, 4, 5, 4, 4], [4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4], [4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 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, 4, 4, 4, 4]], "task_id": "928ad970", "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 3 4 7 7 3 7 4 Output: 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 7 7 4 4 4 4 4 4 3 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 3 4 4 4 4 4 4 4 7 7 4 4 4 4 4 4 3 7 4 4 4 4 4 4 4 Example 2: Input: 4 7 3 7 3 7 3 4 3 Output: 4 4 4 4 4 4 4 7 3 4 4 4 4 4 4 7 3 7 4 4 4 4 4 4 3 4 3 4 4 4 4 7 3 4 4 4 4 4 4 7 3 7 4 4 4 4 4 4 3 4 3 4 4 4 4 7 3 4 4 4 4 7 3 7 3 7 4 4 4 7 3 7 3 4 3 4 4 4 3 4 3 Example 3: Input: 7 4 4 4 7 4 4 3 7 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 4 4 4 4 4 4 4 4 4 7 4 4 4 4 4 4 4 4 4 7 4 4 4 4 4 4 4 4 3 7 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 7 3 3 4 3 7 3 7
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "4 4 4 4 4 4 4 7 3\n4 4 4 4 4 4 3 4 3\n4 4 4 4 4 4 7 3 7\n4 7 3 4 4 4 4 7 3\n3 4 3 4 4 4 3 4 3\n7 3 7 4 4 4 7 3 7\n4 4 4 4 7 3 4 4 4\n4 4 4 3 4 3 4 4 4\n4 4 4 7 3 7 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 3\n4 7 7\n3 7 4\nOutput:\n4 4 4 4 4 4 4 4 3\n4 4 4 4 4 4 4 7 7\n4 4 4 4 4 4 3 7 4\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 3 4 4 4 4 4 4\n4 7 7 4 4 4 4 4 4\n3 7 4 4 4 4 4 4 4\n\nExample 2:\n\nInput:\n4 7 3\n7 3 7\n3 4 3\nOutput:\n4 4 4 4 4 4 4 7 3\n4 4 4 4 4 4 7 3 7\n4 4 4 4 4 4 3 4 3\n4 4 4 4 7 3 4 4 4\n4 4 4 7 3 7 4 4 4\n4 4 4 3 4 3 4 4 4\n4 7 3 4 4 4 4 7 3\n7 3 7 4 4 4 7 3 7\n3 4 3 4 4 4 3 4 3\n\nExample 3:\n\nInput:\n7 4 4\n4 7 4\n4 3 7\nOutput:\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 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 4 7 4 4 4 4 4\n4 4 4 4 7 4 4 4 4\n4 4 4 4 3 7 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 7 3\n3 4 3\n7 3 7\n", "answer": "4 4 4 4 4 4 4 7 3\n4 4 4 4 4 4 3 4 3\n4 4 4 4 4 4 7 3 7\n4 7 3 4 4 4 4 7 3\n3 4 3 4 4 4 3 4 3\n7 3 7 4 4 4 7 3 7\n4 4 4 4 7 3 4 4 4\n4 4 4 3 4 3 4 4 4\n4 4 4 7 3 7 4 4 4", "metadata": {"source_dataset": "arc_agi", "source_index": 174, "input": [[4, 7, 3], [3, 4, 3], [7, 3, 7]], "output": [[4, 4, 4, 4, 4, 4, 4, 7, 3], [4, 4, 4, 4, 4, 4, 3, 4, 3], [4, 4, 4, 4, 4, 4, 7, 3, 7], [4, 7, 3, 4, 4, 4, 4, 7, 3], [3, 4, 3, 4, 4, 4, 3, 4, 3], [7, 3, 7, 4, 4, 4, 7, 3, 7], [4, 4, 4, 4, 7, 3, 4, 4, 4], [4, 4, 4, 3, 4, 3, 4, 4, 4], [4, 4, 4, 7, 3, 7, 4, 4, 4]], "task_id": "cce03e0d", "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": 174, "input": [[4, 7, 3], [3, 4, 3], [7, 3, 7]], "output": [[4, 4, 4, 4, 4, 4, 4, 7, 3], [4, 4, 4, 4, 4, 4, 3, 4, 3], [4, 4, 4, 4, 4, 4, 7, 3, 7], [4, 7, 3, 4, 4, 4, 4, 7, 3], [3, 4, 3, 4, 4, 4, 3, 4, 3], [7, 3, 7, 4, 4, 4, 7, 3, 7], [4, 4, 4, 4, 7, 3, 4, 4, 4], [4, 4, 4, 3, 4, 3, 4, 4, 4], [4, 4, 4, 7, 3, 7, 4, 4, 4]], "task_id": "cce03e0d", "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 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 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 Output: 4 4 4 4 0 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 0 9 9 9 9 0 4 4 4 4 4 4 4 0 9 9 9 9 0 4 4 4 4 4 4 4 0 9 9 9 9 0 4 4 4 4 4 4 4 0 9 9 9 9 0 4 4 4 4 4 4 4 0 9 9 9 9 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 0 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 0 4 4 4 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 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 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 Output: 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 9 9 9 9 9 9 9 0 4 4 4 4 0 9 9 9 9 9 9 9 0 4 4 4 4 0 9 9 9 9 9 9 9 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 0 4 4 4 4 4 4 4 0 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 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 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
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "4 4 4 0 4 4 4 4 0 4 4 4 4\n0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 4 0 9 9 9 9 0 4 4 4 4\n4 4 4 0 9 9 9 9 0 4 4 4 4\n4 4 4 0 9 9 9 9 0 4 4 4 4\n4 4 4 0 9 9 9 9 0 4 4 4 4\n4 4 4 0 9 9 9 9 0 4 4 4 4\n4 4 4 0 9 9 9 9 0 4 4 4 4\n4 4 4 0 9 9 9 9 0 4 4 4 4\n4 4 4 0 9 9 9 9 0 4 4 4 4\n0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 4 0 4 4 4 4 0 4 4 4 4\n4 4 4 0 4 4 4 4 0 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\n4 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\n4 4 4 4 4 4 4 4 4 0 4 4 4\n4 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\n4 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\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 0 4 4 4 4 4 4 4 4\n4 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\n4 4 4 4 4 4 4 4 4 4 4 4 4\nOutput:\n4 4 4 4 0 4 4 4 4 0 4 4 4\n4 4 4 4 0 4 4 4 4 0 4 4 4\n4 4 4 4 0 4 4 4 4 0 4 4 4\n0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 4 4 0 9 9 9 9 0 4 4 4\n4 4 4 4 0 9 9 9 9 0 4 4 4\n4 4 4 4 0 9 9 9 9 0 4 4 4\n4 4 4 4 0 9 9 9 9 0 4 4 4\n4 4 4 4 0 9 9 9 9 0 4 4 4\n0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 4 4 0 4 4 4 4 0 4 4 4\n4 4 4 4 0 4 4 4 4 0 4 4 4\n4 4 4 4 0 4 4 4 4 0 4 4 4\n\nExample 2:\n\nInput:\n4 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\n4 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\n4 4 4 4 4 4 4 4 4 4 0 4 4\n4 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\n4 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\n4 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\n4 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\nOutput:\n4 4 0 4 4 4 4 4 4 4 0 4 4\n4 4 0 4 4 4 4 4 4 4 0 4 4\n4 4 0 4 4 4 4 4 4 4 0 4 4\n4 4 0 4 4 4 4 4 4 4 0 4 4\n0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 0 9 9 9 9 9 9 9 0 4 4\n4 4 0 9 9 9 9 9 9 9 0 4 4\n4 4 0 9 9 9 9 9 9 9 0 4 4\n0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 0 4 4 4 4 4 4 4 0 4 4\n4 4 0 4 4 4 4 4 4 4 0 4 4\n4 4 0 4 4 4 4 4 4 4 0 4 4\n4 4 0 4 4 4 4 4 4 4 0 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 4 4\n4 4 4 4 4 4 4 4 0 4 4 4 4\n4 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\n4 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\n4 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\n4 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\n4 4 4 0 4 4 4 4 4 4 4 4 4\n4 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\n", "answer": "4 4 4 0 4 4 4 4 0 4 4 4 4\n0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 4 0 9 9 9 9 0 4 4 4 4\n4 4 4 0 9 9 9 9 0 4 4 4 4\n4 4 4 0 9 9 9 9 0 4 4 4 4\n4 4 4 0 9 9 9 9 0 4 4 4 4\n4 4 4 0 9 9 9 9 0 4 4 4 4\n4 4 4 0 9 9 9 9 0 4 4 4 4\n4 4 4 0 9 9 9 9 0 4 4 4 4\n4 4 4 0 9 9 9 9 0 4 4 4 4\n0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 4 0 4 4 4 4 0 4 4 4 4\n4 4 4 0 4 4 4 4 0 4 4 4 4", "metadata": {"source_dataset": "arc_agi", "source_index": 175, "input": [[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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 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]], "output": [[4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 0, 9, 9, 9, 9, 0, 4, 4, 4, 4], [4, 4, 4, 0, 9, 9, 9, 9, 0, 4, 4, 4, 4], [4, 4, 4, 0, 9, 9, 9, 9, 0, 4, 4, 4, 4], [4, 4, 4, 0, 9, 9, 9, 9, 0, 4, 4, 4, 4], [4, 4, 4, 0, 9, 9, 9, 9, 0, 4, 4, 4, 4], [4, 4, 4, 0, 9, 9, 9, 9, 0, 4, 4, 4, 4], [4, 4, 4, 0, 9, 9, 9, 9, 0, 4, 4, 4, 4], [4, 4, 4, 0, 9, 9, 9, 9, 0, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4], [4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4]], "task_id": "21f83797", "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": 175, "input": [[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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 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]], "output": [[4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 0, 9, 9, 9, 9, 0, 4, 4, 4, 4], [4, 4, 4, 0, 9, 9, 9, 9, 0, 4, 4, 4, 4], [4, 4, 4, 0, 9, 9, 9, 9, 0, 4, 4, 4, 4], [4, 4, 4, 0, 9, 9, 9, 9, 0, 4, 4, 4, 4], [4, 4, 4, 0, 9, 9, 9, 9, 0, 4, 4, 4, 4], [4, 4, 4, 0, 9, 9, 9, 9, 0, 4, 4, 4, 4], [4, 4, 4, 0, 9, 9, 9, 9, 0, 4, 4, 4, 4], [4, 4, 4, 0, 9, 9, 9, 9, 0, 4, 4, 4, 4], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4], [4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4]], "task_id": "21f83797", "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 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 7 7 6 7 7 6 4 4 6 7 7 6 4 4 6 7 7 7 7 6 7 7 6 7 7 6 4 4 6 7 7 6 4 4 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 7 7 6 8 8 6 7 7 6 5 5 6 7 7 6 7 7 7 7 6 7 7 6 8 8 6 7 7 6 5 5 6 7 7 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 7 7 6 8 8 6 7 7 6 7 7 6 4 4 6 7 7 7 7 6 7 7 6 8 8 6 7 7 6 7 7 6 4 4 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 Output: 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 7 7 6 7 7 6 4 4 6 4 4 6 4 4 6 7 7 7 7 6 7 7 6 7 7 6 4 4 6 4 4 6 4 4 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 4 4 6 7 7 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 4 4 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 7 7 6 8 8 6 7 7 6 5 5 6 4 4 6 7 7 7 7 6 7 7 6 8 8 6 7 7 6 5 5 6 4 4 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 7 7 6 8 8 6 7 7 6 7 7 6 4 4 6 7 7 7 7 6 7 7 6 8 8 6 7 7 6 7 7 6 4 4 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 7 7 6 8 8 6 7 7 6 7 7 6 4 4 6 7 7 7 7 6 7 7 6 8 8 6 7 7 6 7 7 6 4 4 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 Example 2: Input: 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 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 7 7 0 7 7 0 7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7 7 7 0 7 7 0 7 7 0 7 7 0 4 4 0 7 7 0 7 7 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 7 7 0 8 8 0 7 7 0 7 7 0 7 7 0 7 7 0 4 4 0 7 7 7 7 0 8 8 0 7 7 0 7 7 0 7 7 0 7 7 0 4 4 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 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 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 7 7 0 7 7 0 7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7 7 7 0 7 7 0 7 7 0 7 7 0 4 4 0 7 7 0 7 7 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 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 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 7 7 0 8 8 0 7 7 0 7 7 0 7 7 0 7 7 0 8 8 0 7 7 7 7 0 8 8 0 7 7 0 7 7 0 7 7 0 7 7 0 8 8 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 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 Output: 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 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 7 7 0 7 7 0 7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7 7 7 0 7 7 0 7 7 0 7 7 0 4 4 0 7 7 0 7 7 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 7 7 0 8 8 0 7 7 0 7 7 0 4 4 0 7 7 0 4 4 0 7 7 7 7 0 8 8 0 7 7 0 7 7 0 4 4 0 7 7 0 4 4 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 7 7 0 8 8 0 7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7 7 7 0 8 8 0 7 7 0 7 7 0 4 4 0 7 7 0 7 7 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 7 7 0 8 8 0 7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7 7 7 0 8 8 0 7 7 0 7 7 0 4 4 0 7 7 0 7 7 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 7 7 0 8 8 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 7 7 0 8 8 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 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 7 7 0 8 8 0 8 8 0 8 8 0 8 8 0 8 8 0 8 8 0 7 7 7 7 0 8 8 0 8 8 0 8 8 0 8 8 0 8 8 0 8 8 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 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 Example 3: Input: 7 7 5 7 7 5 7 7 5 7 7 5 9 9 5 7 7 5 7 7 5 7 7 7 7 5 7 7 5 7 7 5 7 7 5 9 9 5 7 7 5 7 7 5 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 7 7 5 6 6 5 7 7 5 6 6 5 7 7 5 7 7 5 7 7 5 7 7 7 7 5 6 6 5 7 7 5 6 6 5 7 7 5 7 7 5 7 7 5 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 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 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 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 0 0 5 7 7 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 0 0 5 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 7 7 5 6 6 5 7 7 5 7 7 5 9 9 5 7 7 5 7 7 5 7 7 7 7 5 6 6 5 7 7 5 7 7 5 9 9 5 7 7 5 7 7 5 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 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 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 7 7 5 7 7 5 4 4 5 7 7 5 7 7 5 7 7 5 4 4 5 7 7 7 7 5 7 7 5 4 4 5 7 7 5 7 7 5 7 7 5 4 4 5 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 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 Output: 7 7 5 7 7 5 7 7 5 7 7 5 9 9 5 7 7 5 7 7 5 7 7 7 7 5 7 7 5 7 7 5 7 7 5 9 9 5 7 7 5 7 7 5 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 7 7 5 6 6 5 6 6 5 6 6 5 9 9 5 7 7 5 7 7 5 7 7 7 7 5 6 6 5 6 6 5 6 6 5 9 9 5 7 7 5 7 7 5 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 7 7 5 6 6 5 7 7 5 7 7 5 9 9 5 7 7 5 7 7 5 7 7 7 7 5 6 6 5 7 7 5 7 7 5 9 9 5 7 7 5 7 7 5 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 7 7 5 6 6 5 7 7 5 7 7 5 9 9 5 7 7 5 0 0 5 7 7 7 7 5 6 6 5 7 7 5 7 7 5 9 9 5 7 7 5 0 0 5 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 7 7 5 6 6 5 7 7 5 7 7 5 9 9 5 7 7 5 7 7 5 7 7 7 7 5 6 6 5 7 7 5 7 7 5 9 9 5 7 7 5 7 7 5 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 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 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 7 7 5 7 7 5 4 4 5 4 4 5 4 4 5 4 4 5 4 4 5 7 7 7 7 5 7 7 5 4 4 5 4 4 5 4 4 5 4 4 5 4 4 5 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 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 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 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 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 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 8 8 0 7 7 0 7 7 0 7 7 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 8 8 0 7 7 0 7 7 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 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 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 0 7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7 0 7 7 0 4 4 0 7 7 7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7 0 7 7 0 4 4 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 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 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 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 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 0 7 7 0 7 7 0 7 7 0 7 7 0 6 6 0 7 7 0 7 7 0 6 6 0 7 7 7 7 0 7 7 0 7 7 0 7 7 0 6 6 0 7 7 0 7 7 0 6 6 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 0 7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 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 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 8 8 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 8 8 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 7 7\n7 7 0 7 7 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 4 4 0 7 7 0 6 6 0 6 6 0 6 6 0 6 6 0 7 7\n7 7 0 7 7 0 4 4 0 7 7 0 6 6 0 6 6 0 6 6 0 6 6 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 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 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7\n7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n7 7 6 7 7 6 7 7 6 4 4 6 7 7 6 4 4 6 7 7\n7 7 6 7 7 6 7 7 6 4 4 6 7 7 6 4 4 6 7 7\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7\n7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n7 7 6 7 7 6 8 8 6 7 7 6 5 5 6 7 7 6 7 7\n7 7 6 7 7 6 8 8 6 7 7 6 5 5 6 7 7 6 7 7\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7\n7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n7 7 6 7 7 6 8 8 6 7 7 6 7 7 6 4 4 6 7 7\n7 7 6 7 7 6 8 8 6 7 7 6 7 7 6 4 4 6 7 7\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7\n7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7\nOutput:\n7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7\n7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n7 7 6 7 7 6 7 7 6 4 4 6 4 4 6 4 4 6 7 7\n7 7 6 7 7 6 7 7 6 4 4 6 4 4 6 4 4 6 7 7\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 4 4 6 7 7\n7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 4 4 6 7 7\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n7 7 6 7 7 6 8 8 6 7 7 6 5 5 6 4 4 6 7 7\n7 7 6 7 7 6 8 8 6 7 7 6 5 5 6 4 4 6 7 7\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n7 7 6 7 7 6 8 8 6 7 7 6 7 7 6 4 4 6 7 7\n7 7 6 7 7 6 8 8 6 7 7 6 7 7 6 4 4 6 7 7\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n7 7 6 7 7 6 8 8 6 7 7 6 7 7 6 4 4 6 7 7\n7 7 6 7 7 6 8 8 6 7 7 6 7 7 6 4 4 6 7 7\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7\n7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7 6 7 7\n\nExample 2:\n\nInput:\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 8 8 0 7 7 0 7 7 0 7 7 0 7 7 0 4 4 0 7 7\n7 7 0 8 8 0 7 7 0 7 7 0 7 7 0 7 7 0 4 4 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 8 8 0 7 7 0 7 7 0 7 7 0 7 7 0 8 8 0 7 7\n7 7 0 8 8 0 7 7 0 7 7 0 7 7 0 7 7 0 8 8 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\nOutput:\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 8 8 0 7 7 0 7 7 0 4 4 0 7 7 0 4 4 0 7 7\n7 7 0 8 8 0 7 7 0 7 7 0 4 4 0 7 7 0 4 4 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 8 8 0 7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7\n7 7 0 8 8 0 7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 8 8 0 7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7\n7 7 0 8 8 0 7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 8 8 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n7 7 0 8 8 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 8 8 0 8 8 0 8 8 0 8 8 0 8 8 0 8 8 0 7 7\n7 7 0 8 8 0 8 8 0 8 8 0 8 8 0 8 8 0 8 8 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n\nExample 3:\n\nInput:\n7 7 5 7 7 5 7 7 5 7 7 5 9 9 5 7 7 5 7 7 5 7 7\n7 7 5 7 7 5 7 7 5 7 7 5 9 9 5 7 7 5 7 7 5 7 7\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n7 7 5 6 6 5 7 7 5 6 6 5 7 7 5 7 7 5 7 7 5 7 7\n7 7 5 6 6 5 7 7 5 6 6 5 7 7 5 7 7 5 7 7 5 7 7\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7\n7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 0 0 5 7 7\n7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 0 0 5 7 7\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n7 7 5 6 6 5 7 7 5 7 7 5 9 9 5 7 7 5 7 7 5 7 7\n7 7 5 6 6 5 7 7 5 7 7 5 9 9 5 7 7 5 7 7 5 7 7\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7\n7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n7 7 5 7 7 5 4 4 5 7 7 5 7 7 5 7 7 5 4 4 5 7 7\n7 7 5 7 7 5 4 4 5 7 7 5 7 7 5 7 7 5 4 4 5 7 7\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7\n7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7\nOutput:\n7 7 5 7 7 5 7 7 5 7 7 5 9 9 5 7 7 5 7 7 5 7 7\n7 7 5 7 7 5 7 7 5 7 7 5 9 9 5 7 7 5 7 7 5 7 7\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n7 7 5 6 6 5 6 6 5 6 6 5 9 9 5 7 7 5 7 7 5 7 7\n7 7 5 6 6 5 6 6 5 6 6 5 9 9 5 7 7 5 7 7 5 7 7\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n7 7 5 6 6 5 7 7 5 7 7 5 9 9 5 7 7 5 7 7 5 7 7\n7 7 5 6 6 5 7 7 5 7 7 5 9 9 5 7 7 5 7 7 5 7 7\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n7 7 5 6 6 5 7 7 5 7 7 5 9 9 5 7 7 5 0 0 5 7 7\n7 7 5 6 6 5 7 7 5 7 7 5 9 9 5 7 7 5 0 0 5 7 7\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n7 7 5 6 6 5 7 7 5 7 7 5 9 9 5 7 7 5 7 7 5 7 7\n7 7 5 6 6 5 7 7 5 7 7 5 9 9 5 7 7 5 7 7 5 7 7\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7\n7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n7 7 5 7 7 5 4 4 5 4 4 5 4 4 5 4 4 5 4 4 5 7 7\n7 7 5 7 7 5 4 4 5 4 4 5 4 4 5 4 4 5 4 4 5 7 7\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7\n7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 7 7 5 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 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 8 8 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 8 8 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7 0 7 7 0 4 4 0 7 7\n7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7 0 7 7 0 4 4 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 7 7 0 7 7 0 6 6 0 7 7 0 7 7 0 6 6 0 7 7\n7 7 0 7 7 0 7 7 0 7 7 0 6 6 0 7 7 0 7 7 0 6 6 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n", "answer": "7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 8 8 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 8 8 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 7 7\n7 7 0 7 7 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 4 4 0 7 7 0 6 6 0 6 6 0 6 6 0 6 6 0 7 7\n7 7 0 7 7 0 4 4 0 7 7 0 6 6 0 6 6 0 6 6 0 6 6 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 4 4 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7\n7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 7 7", "metadata": {"source_dataset": "arc_agi", "source_index": 176, "input": [[7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 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, 0], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 8, 8, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 8, 8, 0, 7, 7, 0, 7, 7, 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, 0], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 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, 0], [7, 7, 0, 7, 7, 0, 4, 4, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 4, 4, 0, 7, 7], [7, 7, 0, 7, 7, 0, 4, 4, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 4, 4, 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, 0], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 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, 0], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 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, 0], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 6, 6, 0, 7, 7, 0, 7, 7, 0, 6, 6, 0, 7, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 6, 6, 0, 7, 7, 0, 7, 7, 0, 6, 6, 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, 0], [7, 7, 0, 7, 7, 0, 4, 4, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 4, 4, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 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, 0], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7]], "output": [[7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 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, 0], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 8, 8, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 8, 8, 0, 7, 7, 0, 7, 7, 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, 0], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 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, 0], [7, 7, 0, 7, 7, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 7, 7], [7, 7, 0, 7, 7, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 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, 0], [7, 7, 0, 7, 7, 0, 4, 4, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 4, 4, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 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, 0], [7, 7, 0, 7, 7, 0, 4, 4, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 4, 4, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 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, 0], [7, 7, 0, 7, 7, 0, 4, 4, 0, 7, 7, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 7, 7], [7, 7, 0, 7, 7, 0, 4, 4, 0, 7, 7, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 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, 0], [7, 7, 0, 7, 7, 0, 4, 4, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 4, 4, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 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, 0], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7]], "task_id": "06df4c85", "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": 176, "input": [[7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 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, 0], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 8, 8, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 8, 8, 0, 7, 7, 0, 7, 7, 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, 0], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 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, 0], [7, 7, 0, 7, 7, 0, 4, 4, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 4, 4, 0, 7, 7], [7, 7, 0, 7, 7, 0, 4, 4, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 4, 4, 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, 0], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 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, 0], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 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, 0], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 6, 6, 0, 7, 7, 0, 7, 7, 0, 6, 6, 0, 7, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 6, 6, 0, 7, 7, 0, 7, 7, 0, 6, 6, 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, 0], [7, 7, 0, 7, 7, 0, 4, 4, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 4, 4, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 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, 0], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7]], "output": [[7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 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, 0], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 8, 8, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 8, 8, 0, 7, 7, 0, 7, 7, 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, 0], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 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, 0], [7, 7, 0, 7, 7, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 7, 7], [7, 7, 0, 7, 7, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 0, 4, 4, 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, 0], [7, 7, 0, 7, 7, 0, 4, 4, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 4, 4, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 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, 0], [7, 7, 0, 7, 7, 0, 4, 4, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 4, 4, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 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, 0], [7, 7, 0, 7, 7, 0, 4, 4, 0, 7, 7, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 7, 7], [7, 7, 0, 7, 7, 0, 4, 4, 0, 7, 7, 0, 6, 6, 0, 6, 6, 0, 6, 6, 0, 6, 6, 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, 0], [7, 7, 0, 7, 7, 0, 4, 4, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 4, 4, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 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, 0], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7]], "task_id": "06df4c85", "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 1 2 5 1 5 2 1 2 Output: 1 Example 2: Input: 2 2 1 2 2 6 6 2 2 2 2 1 2 2 6 6 2 2 2 2 1 2 2 6 6 2 2 0 0 0 0 0 6 6 0 0 0 0 0 0 0 6 6 0 0 2 2 1 2 2 6 6 2 2 2 2 1 2 2 6 6 2 2 2 2 1 2 2 6 6 2 2 8 8 8 8 8 8 8 8 8 2 2 1 2 2 6 6 2 2 2 2 1 2 2 6 6 2 2 Output: 8 Example 3: Input: 2 3 2 5 5 2 0 0 2 2 2 2 3 2 5 5 2 0 0 2 2 2 2 3 2 5 5 2 0 0 2 2 2 2 3 2 5 5 2 0 0 2 2 2 1 1 1 5 5 1 0 0 1 1 1 1 1 1 5 5 1 0 0 1 1 1 2 3 2 5 5 2 0 0 2 2 2 2 3 2 5 5 2 0 0 2 2 2 4 4 4 5 5 4 4 4 4 4 4 2 3 2 5 5 2 0 0 2 2 2 2 3 2 5 5 2 0 0 2 2 2 2 3 2 5 5 2 0 0 2 2 2 Output: 5 Example 4: Input: 2 2 1 1 2 6 2 2 3 3 3 3 3 6 3 3 3 3 3 3 3 6 3 3 2 2 1 1 2 6 2 2 2 2 1 1 2 6 2 2 2 2 1 1 2 6 2 2 2 2 1 1 2 6 2 2 8 8 8 8 8 6 8 8 2 2 1 1 2 6 2 2 2 2 1 1 2 6 2 2 2 2 1 1 2 6 2 2 2 2 1 1 2 6 2 2 Output: 6 Example 5: Input: 2 5 5 5 2 2 0 0 2 2 2 3 3 3 3 3 3 0 0 3 3 3 3 3 3 3 3 3 0 0 3 3 3 2 5 5 5 2 2 0 0 2 2 2 6 6 6 6 6 6 6 6 6 6 6 2 5 5 5 2 2 0 0 2 2 2 2 5 5 5 2 2 0 0 2 2 2 8 8 8 8 8 8 0 0 8 8 8 8 8 8 8 8 8 0 0 8 8 8 2 5 5 5 2 2 0 0 2 2 2 2 5 5 5 2 2 0 0 2 2 2 Output: 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: 2 2 5 5 2 2 6 2 2 2 2 2 2 5 5 2 2 6 2 2 2 2 2 2 5 5 2 2 6 2 2 2 2 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 1 6 1 1 1 1 2 2 5 5 2 2 6 2 2 2 2 2 2 5 5 2 2 6 2 2 2 2 2 2 5 5 2 2 6 2 2 2 2 2 2 5 5 2 2 6 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 2 5 5 2 2 6 2 2 2 2 2 2 5 5 2 2 6 2 2 2 2 2 2 5 5 2 2 6 2 2 2 2
{"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 1 2\n5 1 5\n2 1 2\nOutput:\n1\n\nExample 2:\n\nInput:\n2 2 1 2 2 6 6 2 2\n2 2 1 2 2 6 6 2 2\n2 2 1 2 2 6 6 2 2\n0 0 0 0 0 6 6 0 0\n0 0 0 0 0 6 6 0 0\n2 2 1 2 2 6 6 2 2\n2 2 1 2 2 6 6 2 2\n2 2 1 2 2 6 6 2 2\n8 8 8 8 8 8 8 8 8\n2 2 1 2 2 6 6 2 2\n2 2 1 2 2 6 6 2 2\nOutput:\n8\n\nExample 3:\n\nInput:\n2 3 2 5 5 2 0 0 2 2 2\n2 3 2 5 5 2 0 0 2 2 2\n2 3 2 5 5 2 0 0 2 2 2\n2 3 2 5 5 2 0 0 2 2 2\n1 1 1 5 5 1 0 0 1 1 1\n1 1 1 5 5 1 0 0 1 1 1\n2 3 2 5 5 2 0 0 2 2 2\n2 3 2 5 5 2 0 0 2 2 2\n4 4 4 5 5 4 4 4 4 4 4\n2 3 2 5 5 2 0 0 2 2 2\n2 3 2 5 5 2 0 0 2 2 2\n2 3 2 5 5 2 0 0 2 2 2\nOutput:\n5\n\nExample 4:\n\nInput:\n2 2 1 1 2 6 2 2\n3 3 3 3 3 6 3 3\n3 3 3 3 3 6 3 3\n2 2 1 1 2 6 2 2\n2 2 1 1 2 6 2 2\n2 2 1 1 2 6 2 2\n2 2 1 1 2 6 2 2\n8 8 8 8 8 6 8 8\n2 2 1 1 2 6 2 2\n2 2 1 1 2 6 2 2\n2 2 1 1 2 6 2 2\n2 2 1 1 2 6 2 2\nOutput:\n6\n\nExample 5:\n\nInput:\n2 5 5 5 2 2 0 0 2 2 2\n3 3 3 3 3 3 0 0 3 3 3\n3 3 3 3 3 3 0 0 3 3 3\n2 5 5 5 2 2 0 0 2 2 2\n6 6 6 6 6 6 6 6 6 6 6\n2 5 5 5 2 2 0 0 2 2 2\n2 5 5 5 2 2 0 0 2 2 2\n8 8 8 8 8 8 0 0 8 8 8\n8 8 8 8 8 8 0 0 8 8 8\n2 5 5 5 2 2 0 0 2 2 2\n2 5 5 5 2 2 0 0 2 2 2\nOutput:\n6\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 5 5 2 2 6 2 2 2 2\n2 2 5 5 2 2 6 2 2 2 2\n2 2 5 5 2 2 6 2 2 2 2\n1 1 1 1 1 1 6 1 1 1 1\n1 1 1 1 1 1 6 1 1 1 1\n2 2 5 5 2 2 6 2 2 2 2\n2 2 5 5 2 2 6 2 2 2 2\n2 2 5 5 2 2 6 2 2 2 2\n2 2 5 5 2 2 6 2 2 2 2\n7 7 7 7 7 7 7 7 7 7 7\n2 2 5 5 2 2 6 2 2 2 2\n2 2 5 5 2 2 6 2 2 2 2\n2 2 5 5 2 2 6 2 2 2 2\n", "answer": "7", "metadata": {"source_dataset": "arc_agi", "source_index": 177, "input": [[2, 2, 5, 5, 2, 2, 6, 2, 2, 2, 2], [2, 2, 5, 5, 2, 2, 6, 2, 2, 2, 2], [2, 2, 5, 5, 2, 2, 6, 2, 2, 2, 2], [1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1], [2, 2, 5, 5, 2, 2, 6, 2, 2, 2, 2], [2, 2, 5, 5, 2, 2, 6, 2, 2, 2, 2], [2, 2, 5, 5, 2, 2, 6, 2, 2, 2, 2], [2, 2, 5, 5, 2, 2, 6, 2, 2, 2, 2], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [2, 2, 5, 5, 2, 2, 6, 2, 2, 2, 2], [2, 2, 5, 5, 2, 2, 6, 2, 2, 2, 2], [2, 2, 5, 5, 2, 2, 6, 2, 2, 2, 2]], "output": [[7]], "task_id": "1a2e2828", "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": 177, "input": [[2, 2, 5, 5, 2, 2, 6, 2, 2, 2, 2], [2, 2, 5, 5, 2, 2, 6, 2, 2, 2, 2], [2, 2, 5, 5, 2, 2, 6, 2, 2, 2, 2], [1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1], [2, 2, 5, 5, 2, 2, 6, 2, 2, 2, 2], [2, 2, 5, 5, 2, 2, 6, 2, 2, 2, 2], [2, 2, 5, 5, 2, 2, 6, 2, 2, 2, 2], [2, 2, 5, 5, 2, 2, 6, 2, 2, 2, 2], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [2, 2, 5, 5, 2, 2, 6, 2, 2, 2, 2], [2, 2, 5, 5, 2, 2, 6, 2, 2, 2, 2], [2, 2, 5, 5, 2, 2, 6, 2, 2, 2, 2]], "output": [[7]], "task_id": "1a2e2828", "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 4 4 4 4 4 5 5 5 5 8 4 5 5 5 5 8 4 5 4 4 4 4 4 5 5 5 5 5 5 Output: 8 5 5 8 5 5 8 5 5 Example 2: Input: 5 5 5 5 5 5 4 4 4 4 5 5 8 8 4 5 5 8 8 4 5 4 4 4 4 5 5 5 5 5 Output: 8 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 4 4 4 4 4 4 4 5 5 5 5 8 8 8 8 4 5 5 5 5 8 8 8 8 4 5 5 5 5 8 8 8 8 4 5 5 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 Output: 8 5 5 8 5 5 5 5 5 Example 4: Input: 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 8 8 4 5 5 5 5 8 8 4 5 5 5 5 8 8 4 5 5 4 4 4 4 4 5 5 5 5 5 5 5 Output: 8 5 5 8 5 5 5 5 5 Example 5: Input: 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 5 5 5 5 5 8 8 8 4 5 5 5 5 5 8 8 8 4 5 5 5 5 5 8 8 8 4 5 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 Output: 8 5 5 8 5 5 8 8 5 Example 6: Input: 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 8 8 8 4 5 5 5 5 5 8 8 8 4 5 5 5 5 5 8 8 8 4 5 5 5 5 5 8 8 8 4 5 5 5 5 5 8 8 8 4 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 Output: 8 5 5 8 5 5 8 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 4 4 4 4 4 4 4 4 5 5 8 8 8 8 8 8 4 5 5 8 8 8 8 8 8 4 5 5 8 8 8 8 8 8 4 5 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
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "8 5 5\n5 5 5\n5 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\n5 4 4 4 4 4\n5 5 5 5 8 4\n5 5 5 5 8 4\n5 4 4 4 4 4\n5 5 5 5 5 5\nOutput:\n8 5 5\n8 5 5\n8 5 5\n\nExample 2:\n\nInput:\n5 5 5 5 5\n5 4 4 4 4\n5 5 8 8 4\n5 5 8 8 4\n5 4 4 4 4\n5 5 5 5 5\nOutput:\n8 5 5\n5 5 5\n5 5 5\n\nExample 3:\n\nInput:\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\n5 5 4 4 4 4 4 4 4\n5 5 5 5 8 8 8 8 4\n5 5 5 5 8 8 8 8 4\n5 5 5 5 8 8 8 8 4\n5 5 4 4 4 4 4 4 4\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\nOutput:\n8 5 5\n8 5 5\n5 5 5\n\nExample 4:\n\nInput:\n5 5 5 5 5 5 5\n5 5 4 4 4 4 4\n5 5 5 5 8 8 4\n5 5 5 5 8 8 4\n5 5 5 5 8 8 4\n5 5 4 4 4 4 4\n5 5 5 5 5 5 5\nOutput:\n8 5 5\n8 5 5\n5 5 5\n\nExample 5:\n\nInput:\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\n5 4 4 4 4 4 4 4 4\n5 5 5 5 5 8 8 8 4\n5 5 5 5 5 8 8 8 4\n5 5 5 5 5 8 8 8 4\n5 4 4 4 4 4 4 4 4\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\nOutput:\n8 5 5\n8 5 5\n8 8 5\n\nExample 6:\n\nInput:\n5 5 5 5 5 5 5 5 5\n5 5 4 4 4 4 4 4 4\n5 5 5 5 5 8 8 8 4\n5 5 5 5 5 8 8 8 4\n5 5 5 5 5 8 8 8 4\n5 5 5 5 5 8 8 8 4\n5 5 5 5 5 8 8 8 4\n5 5 4 4 4 4 4 4 4\n5 5 5 5 5 5 5 5 5\nOutput:\n8 5 5\n8 5 5\n8 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\n5 5 5 5 5 5 5 5 5\n5 4 4 4 4 4 4 4 4\n5 5 8 8 8 8 8 8 4\n5 5 8 8 8 8 8 8 4\n5 5 8 8 8 8 8 8 4\n5 4 4 4 4 4 4 4 4\n5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5\n", "answer": "8 5 5\n5 5 5\n5 5 5", "metadata": {"source_dataset": "arc_agi", "source_index": 178, "input": [[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], [5, 5, 8, 8, 8, 8, 8, 8, 4], [5, 5, 8, 8, 8, 8, 8, 8, 4], [5, 5, 8, 8, 8, 8, 8, 8, 4], [5, 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]], "output": [[8, 5, 5], [5, 5, 5], [5, 5, 5]], "task_id": "b0c4d837", "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": 178, "input": [[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], [5, 5, 8, 8, 8, 8, 8, 8, 4], [5, 5, 8, 8, 8, 8, 8, 8, 4], [5, 5, 8, 8, 8, 8, 8, 8, 4], [5, 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]], "output": [[8, 5, 5], [5, 5, 5], [5, 5, 5]], "task_id": "b0c4d837", "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 2 2 1 1 1 1 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 6 4 4 4 2 2 2 2 2 2 4 4 6 4 2 1 1 1 1 2 6 6 6 6 2 1 1 1 1 2 2 2 2 2 2 1 1 1 1 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 6 4 4 4 2 2 2 2 2 2 4 4 6 4 2 2 2 2 2 2 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 6 4 4 4 2 2 2 2 2 2 4 4 6 4 2 6 4 4 4 2 6 6 6 6 2 4 4 6 4 2 2 2 2 2 2 6 6 6 6 Example 2: Input: 2 2 1 1 1 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 1 1 1 2 2 5 5 5 2 2 2 2 2 2 2 8 5 5 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 Output: 2 2 5 5 5 2 2 2 2 2 2 2 8 5 5 2 2 2 2 2 2 2 8 8 8 2 2 2 2 2 2 2 2 2 2 2 5 5 5 2 2 2 2 2 2 2 8 5 5 2 2 2 2 2 2 2 8 8 8 2 2 5 5 5 2 2 2 2 2 2 2 8 5 5 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 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 1 1 1 2 2 1 1 1 2 2 1 1 1 2 2 1 1 1 2 2 1 1 1 2 2 1 1 1 2 2 1 1 1 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 7 7 7 2 2 1 1 1 2 2 7 5 7 2 2 1 1 1 2 2 7 5 5 2 2 1 1 1 2 2 5 5 5 2 2 2 2 2 2
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 2 2 2 2 2 2 7 7 7\n2 2 7 7 7 2 2 7 5 7\n2 2 7 5 7 2 2 7 5 5\n2 2 7 5 5 2 2 5 5 5\n2 2 5 5 5 2 2 2 2 2\n2 2 2 2 2 2 7 7 7 2\n2 7 7 7 2 2 7 5 7 2\n2 7 5 7 2 2 7 5 5 2\n2 7 5 5 2 2 5 5 5 2\n2 5 5 5 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 2 2 1 1 1 1 2 2\n2 2 2 2 1 1 1 1 2 2\n2 2 2 2 1 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2\n2 6 4 4 4 2 2 2 2 2\n2 4 4 6 4 2 1 1 1 1\n2 6 6 6 6 2 1 1 1 1\n2 2 2 2 2 2 1 1 1 1\nOutput:\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 6 4 4 4 2 2\n2 2 2 2 4 4 6 4 2 2\n2 2 2 2 6 6 6 6 2 2\n2 2 2 2 2 2 2 2 2 2\n2 6 4 4 4 2 2 2 2 2\n2 4 4 6 4 2 6 4 4 4\n2 6 6 6 6 2 4 4 6 4\n2 2 2 2 2 2 6 6 6 6\n\nExample 2:\n\nInput:\n2 2 1 1 1 2 2 2 2 2\n2 2 1 1 1 2 2 2 2 2\n2 2 1 1 1 2 2 2 2 2\n2 2 2 2 2 2 1 1 1 2\n2 2 2 2 2 2 1 1 1 2\n2 2 2 2 2 2 1 1 1 2\n2 5 5 5 2 2 2 2 2 2\n2 8 5 5 2 2 2 2 2 2\n2 8 8 8 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\nOutput:\n2 2 5 5 5 2 2 2 2 2\n2 2 8 5 5 2 2 2 2 2\n2 2 8 8 8 2 2 2 2 2\n2 2 2 2 2 2 5 5 5 2\n2 2 2 2 2 2 8 5 5 2\n2 2 2 2 2 2 8 8 8 2\n2 5 5 5 2 2 2 2 2 2\n2 8 5 5 2 2 2 2 2 2\n2 8 8 8 2 2 2 2 2 2\n2 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:\n2 2 2 2 2 2 2 1 1 1\n2 2 1 1 1 2 2 1 1 1\n2 2 1 1 1 2 2 1 1 1\n2 2 1 1 1 2 2 1 1 1\n2 2 1 1 1 2 2 2 2 2\n2 2 2 2 2 2 1 1 1 2\n2 7 7 7 2 2 1 1 1 2\n2 7 5 7 2 2 1 1 1 2\n2 7 5 5 2 2 1 1 1 2\n2 5 5 5 2 2 2 2 2 2\n", "answer": "2 2 2 2 2 2 2 7 7 7\n2 2 7 7 7 2 2 7 5 7\n2 2 7 5 7 2 2 7 5 5\n2 2 7 5 5 2 2 5 5 5\n2 2 5 5 5 2 2 2 2 2\n2 2 2 2 2 2 7 7 7 2\n2 7 7 7 2 2 7 5 7 2\n2 7 5 7 2 2 7 5 5 2\n2 7 5 5 2 2 5 5 5 2\n2 5 5 5 2 2 2 2 2 2", "metadata": {"source_dataset": "arc_agi", "source_index": 179, "input": [[2, 2, 2, 2, 2, 2, 2, 1, 1, 1], [2, 2, 1, 1, 1, 2, 2, 1, 1, 1], [2, 2, 1, 1, 1, 2, 2, 1, 1, 1], [2, 2, 1, 1, 1, 2, 2, 1, 1, 1], [2, 2, 1, 1, 1, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 1, 1, 1, 2], [2, 7, 7, 7, 2, 2, 1, 1, 1, 2], [2, 7, 5, 7, 2, 2, 1, 1, 1, 2], [2, 7, 5, 5, 2, 2, 1, 1, 1, 2], [2, 5, 5, 5, 2, 2, 2, 2, 2, 2]], "output": [[2, 2, 2, 2, 2, 2, 2, 7, 7, 7], [2, 2, 7, 7, 7, 2, 2, 7, 5, 7], [2, 2, 7, 5, 7, 2, 2, 7, 5, 5], [2, 2, 7, 5, 5, 2, 2, 5, 5, 5], [2, 2, 5, 5, 5, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 7, 7, 7, 2], [2, 7, 7, 7, 2, 2, 7, 5, 7, 2], [2, 7, 5, 7, 2, 2, 7, 5, 5, 2], [2, 7, 5, 5, 2, 2, 5, 5, 5, 2], [2, 5, 5, 5, 2, 2, 2, 2, 2, 2]], "task_id": "e76a88a6", "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": 179, "input": [[2, 2, 2, 2, 2, 2, 2, 1, 1, 1], [2, 2, 1, 1, 1, 2, 2, 1, 1, 1], [2, 2, 1, 1, 1, 2, 2, 1, 1, 1], [2, 2, 1, 1, 1, 2, 2, 1, 1, 1], [2, 2, 1, 1, 1, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 1, 1, 1, 2], [2, 7, 7, 7, 2, 2, 1, 1, 1, 2], [2, 7, 5, 7, 2, 2, 1, 1, 1, 2], [2, 7, 5, 5, 2, 2, 1, 1, 1, 2], [2, 5, 5, 5, 2, 2, 2, 2, 2, 2]], "output": [[2, 2, 2, 2, 2, 2, 2, 7, 7, 7], [2, 2, 7, 7, 7, 2, 2, 7, 5, 7], [2, 2, 7, 5, 7, 2, 2, 7, 5, 5], [2, 2, 7, 5, 5, 2, 2, 5, 5, 5], [2, 2, 5, 5, 5, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 7, 7, 7, 2], [2, 7, 7, 7, 2, 2, 7, 5, 7, 2], [2, 7, 5, 7, 2, 2, 7, 5, 5, 2], [2, 7, 5, 5, 2, 2, 5, 5, 5, 2], [2, 5, 5, 5, 2, 2, 2, 2, 2, 2]], "task_id": "e76a88a6", "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 5 3 3 3 3 3 5 5 3 5 3 3 3 3 3 5 3 3 5 3 3 3 3 3 3 5 3 3 5 3 3 3 3 3 3 5 3 3 5 5 3 3 5 3 3 5 3 3 5 3 5 3 3 5 5 3 5 5 3 5 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 Output: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 5 5 3 5 3 3 3 3 3 5 1 1 5 3 3 3 3 3 3 5 1 1 5 3 3 3 3 3 3 5 1 1 5 5 3 3 5 3 3 5 1 1 5 1 5 3 3 5 5 3 5 5 3 5 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 Example 2: Input: 3 3 3 3 3 3 3 3 3 5 3 3 3 3 5 3 5 3 3 5 3 5 3 3 3 3 5 3 3 3 3 3 3 3 3 3 Output: 3 3 3 3 3 3 3 3 3 5 3 3 3 3 5 1 5 3 3 5 1 5 3 3 3 3 5 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 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 5 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 5 3 5 3 3 3 3 3 3 3 3 3 5 5 5 5 3 5 3 3 5 5 5 3 3 3 3 3 3 3 3 3 5 3 3 5 5 3 3 5 3 3 5 3 3 3 3 3 3 3 3 5 5 3 3 5 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 5 3 5 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 5 3 3 3 5 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 5 3 5 3 3 3 3 3 3 3 5 3 3 3 3 3 5 5 5 5 3 5 5 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 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 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 5 1 5 3 3 3 3 3 3 3 3 3 5 5 5 5 3 5 3 3 5 5 5 3 3 3 3 3 3 3 3 3 5 1 1 5 5 3 3 5 3 3 5 3 3 3 3 3 3 3 3 5 5 1 1 5 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 5 3 5 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 5 1 1 1 1 1 1 5 3 3 3 3 3 3 3 3 3 3 3 3 5 1 1 1 1 1 1 5 3 3 3 3 3 3 3 3 5 3 3 3 5 1 1 1 1 1 1 5 3 3 3 3 3 3 3 3 3 3 3 3 5 1 1 1 1 1 1 5 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 5 1 5 3 3 3 3 3 3 3 5 3 3 3 3 3 5 5 5 5 1 5 5 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 3 3 3 3 Example 4: Input: 3 3 3 3 5 3 3 3 3 3 3 3 3 5 3 5 3 3 5 3 3 3 3 5 5 3 3 5 3 5 3 3 3 5 3 3 3 5 5 3 3 3 3 5 3 3 3 3 5 3 3 3 5 5 5 5 5 5 5 3 3 3 5 3 3 5 3 5 3 3 3 3 5 3 3 5 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Output: 3 3 3 3 5 3 3 3 3 3 3 3 3 5 1 5 3 3 5 3 3 3 3 5 5 3 3 5 1 5 3 3 3 5 3 3 3 5 5 3 3 3 3 5 3 3 3 3 5 3 3 3 5 5 5 5 5 5 5 3 3 3 5 1 1 5 3 5 3 3 3 3 5 1 1 5 3 3 3 3 3 3 5 5 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Example 5: Input: 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 5 5 5 3 3 3 3 3 3 3 3 5 3 5 5 3 3 3 3 3 3 3 3 5 3 5 3 3 3 3 5 3 3 3 5 3 3 3 3 3 3 5 3 5 3 3 3 3 3 3 5 3 5 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 5 3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 3 3 3 3 5 3 5 5 3 3 3 3 3 3 3 3 5 1 5 3 3 3 3 5 3 3 3 5 3 3 3 3 3 3 5 3 5 3 3 3 3 3 3 5 3 5 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 3 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 5 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 5 3 3 3 3 3 3 3 3 3 3 5 3 5 3 5 5 5 5 5 5 3 3 3 3 3 3 3 3 3 5 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 3 5 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 5 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 5 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 5 3 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 5 5 5 5 5 3 5 5 5 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 5 3 3 5 3 3 3 3 3 3 3 3 3 5 3 5 5 5 5 5 3 5 5 3 3 3 3 3 3 3 3 3 5 3 5 5 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 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 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 5 1 1 1 5 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 5 1 1 1 5 3 3 3 3 3 3 3 3\n3 3 5 3 5 3 5 5 5 5 5 5 3 3 3 3 3 3 3 3\n3 5 1 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 5 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 5 5 1 5 3 3 3 5 5 5 5 5 3 3\n3 3 3 3 3 3 3 3 5 5 5 5 5 5 1 1 1 5 3 3\n3 3 3 3 3 3 3 3 3 5 1 1 1 5 1 1 1 5 3 3\n3 3 3 3 3 3 3 3 3 5 5 5 5 5 1 1 1 5 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 5 1 1 1 5 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 5 1 1 1 5 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3\n3 3 3 3 5 5 5 5 5 3 5 5 5 3 3 3 3 3 3 3\n3 3 3 3 5 1 1 1 1 5 1 1 5 3 3 3 3 3 3 3\n3 3 5 3 5 5 5 5 5 3 5 5 3 3 3 3 3 3 3 3\n3 5 1 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 5 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", "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 5 3\n3 3 3 3 5 5 3 5 3 3\n3 3 3 5 3 3 5 3 3 3\n3 3 3 5 3 3 5 3 3 3\n3 3 3 5 3 3 5 5 3 3\n5 3 3 5 3 3 5 3 5 3\n3 5 5 3 5 5 3 5 3 3\n3 3 3 3 5 3 3 3 3 3\n3 3 3 3 3 5 3 3 3 3\nOutput:\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 5 3\n3 3 3 3 5 5 3 5 3 3\n3 3 3 5 1 1 5 3 3 3\n3 3 3 5 1 1 5 3 3 3\n3 3 3 5 1 1 5 5 3 3\n5 3 3 5 1 1 5 1 5 3\n3 5 5 3 5 5 3 5 3 3\n3 3 3 3 5 3 3 3 3 3\n3 3 3 3 3 5 3 3 3 3\n\nExample 2:\n\nInput:\n3 3 3 3 3 3\n3 3 3 5 3 3\n3 3 5 3 5 3\n3 5 3 5 3 3\n3 3 5 3 3 3\n3 3 3 3 3 3\nOutput:\n3 3 3 3 3 3\n3 3 3 5 3 3\n3 3 5 1 5 3\n3 5 1 5 3 3\n3 3 5 3 3 3\n3 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 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 5 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 5 5 5 3 3\n3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 5 3 5 3 3\n3 3 3 3 3 3 3 5 5 5 5 3 5 3 3 5 5 5 3 3\n3 3 3 3 3 3 3 5 3 3 5 5 3 3 5 3 3 5 3 3\n3 3 3 3 3 3 5 5 3 3 5 3 3 5 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 5 3 5 3 3\n3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3\n3 3 5 3 3 3 3 3 5 5 5 5 5 5 5 5 3 3 3 3\n3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 5 3 3 3 3\n3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 5 3 3 3 3\n3 3 3 3 5 3 3 3 5 3 3 3 3 3 3 5 3 3 3 3\n3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 5 3 3 3 3\n3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 3 3 3 3\n3 3 3 3 3 3 3 3 5 3 5 3 3 3 3 3 3 3 5 3\n3 3 3 3 5 5 5 5 3 5 5 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\n3 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\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 5 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 5 5 5 3 3\n3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 5 1 5 3 3\n3 3 3 3 3 3 3 5 5 5 5 3 5 3 3 5 5 5 3 3\n3 3 3 3 3 3 3 5 1 1 5 5 3 3 5 3 3 5 3 3\n3 3 3 3 3 3 5 5 1 1 5 3 3 5 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 5 5 5 3 3 3 3 5 3 5 3 3\n3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3\n3 3 5 3 3 3 3 3 5 5 5 5 5 5 5 5 3 3 3 3\n3 3 3 3 3 3 3 3 5 1 1 1 1 1 1 5 3 3 3 3\n3 3 3 3 3 3 3 3 5 1 1 1 1 1 1 5 3 3 3 3\n3 3 3 3 5 3 3 3 5 1 1 1 1 1 1 5 3 3 3 3\n3 3 3 3 3 3 3 3 5 1 1 1 1 1 1 5 3 3 3 3\n3 3 3 3 3 3 3 3 5 5 5 5 5 5 5 5 3 3 3 3\n3 3 3 3 3 3 3 3 5 1 5 3 3 3 3 3 3 3 5 3\n3 3 3 3 5 5 5 5 1 5 5 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\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n\nExample 4:\n\nInput:\n3 3 3 3 5 3 3 3 3 3\n3 3 3 5 3 5 3 3 5 3\n3 3 3 5 5 3 3 5 3 5\n3 3 3 5 3 3 3 5 5 3\n3 3 3 5 3 3 3 3 5 3\n3 3 5 5 5 5 5 5 5 3\n3 3 5 3 3 5 3 5 3 3\n3 3 5 3 3 5 3 3 3 3\n3 3 5 5 5 5 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\nOutput:\n3 3 3 3 5 3 3 3 3 3\n3 3 3 5 1 5 3 3 5 3\n3 3 3 5 5 3 3 5 1 5\n3 3 3 5 3 3 3 5 5 3\n3 3 3 5 3 3 3 3 5 3\n3 3 5 5 5 5 5 5 5 3\n3 3 5 1 1 5 3 5 3 3\n3 3 5 1 1 5 3 3 3 3\n3 3 5 5 5 5 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n\nExample 5:\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 5 3 3 3 3 3 3\n3 3 5 5 5 3 3 3 3 3\n3 3 3 5 3 5 5 3 3 3\n3 3 3 3 3 5 3 5 3 3\n3 3 5 3 3 3 5 3 3 3\n3 3 3 5 3 5 3 3 3 3\n3 3 5 3 5 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 5 3 3 3 3 3 3\n3 3 5 5 5 3 3 3 3 3\n3 3 3 5 3 5 5 3 3 3\n3 3 3 3 3 5 1 5 3 3\n3 3 5 3 3 3 5 3 3 3\n3 3 3 5 3 5 3 3 3 3\n3 3 5 3 5 3 3 3 3 3\n3 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 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 5 3 3 3 5 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 5 3 3 3 5 3 3 3 3 3 3 3 3\n3 3 5 3 5 3 5 5 5 5 5 5 3 3 3 3 3 3 3 3\n3 5 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 5 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 5 5 3 5 3 3 3 5 5 5 5 5 3 3\n3 3 3 3 3 3 3 3 5 5 5 5 5 5 3 3 3 5 3 3\n3 3 3 3 3 3 3 3 3 5 3 3 3 5 3 3 3 5 3 3\n3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3 3 5 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 5 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 5 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3\n3 3 3 3 5 5 5 5 5 3 5 5 5 3 3 3 3 3 3 3\n3 3 3 3 5 3 3 3 3 5 3 3 5 3 3 3 3 3 3 3\n3 3 5 3 5 5 5 5 5 3 5 5 3 3 3 3 3 3 3 3\n3 5 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 5 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\n", "answer": "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 5 5 5 5 5 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 5 1 1 1 5 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 5 1 1 1 5 3 3 3 3 3 3 3 3\n3 3 5 3 5 3 5 5 5 5 5 5 3 3 3 3 3 3 3 3\n3 5 1 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 5 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 5 5 1 5 3 3 3 5 5 5 5 5 3 3\n3 3 3 3 3 3 3 3 5 5 5 5 5 5 1 1 1 5 3 3\n3 3 3 3 3 3 3 3 3 5 1 1 1 5 1 1 1 5 3 3\n3 3 3 3 3 3 3 3 3 5 5 5 5 5 1 1 1 5 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 5 1 1 1 5 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 5 1 1 1 5 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 5 5 5 5 5 3 3\n3 3 3 3 5 5 5 5 5 3 5 5 5 3 3 3 3 3 3 3\n3 3 3 3 5 1 1 1 1 5 1 1 5 3 3 3 3 3 3 3\n3 3 5 3 5 5 5 5 5 3 5 5 3 3 3 3 3 3 3 3\n3 5 1 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 5 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", "metadata": {"source_dataset": "arc_agi", "source_index": 180, "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, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 5, 3, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3], [3, 5, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 5, 3, 3, 3, 3, 3, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 5, 5, 3, 5, 3, 3, 3, 5, 5, 5, 5, 5, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 3, 3, 3, 5, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 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, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3], [3, 3, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3], [3, 5, 3, 5, 5, 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, 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, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 5, 1, 1, 1, 5, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 5, 1, 1, 1, 5, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 5, 3, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3], [3, 5, 1, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 5, 3, 3, 3, 3, 3, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 5, 5, 1, 5, 3, 3, 3, 5, 5, 5, 5, 5, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 1, 1, 1, 5, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 1, 1, 1, 5, 1, 1, 1, 5, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 1, 1, 1, 5, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 1, 1, 1, 5, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 1, 1, 1, 5, 3, 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, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 5, 1, 1, 1, 1, 5, 1, 1, 5, 3, 3, 3, 3, 3, 3, 3], [3, 3, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3], [3, 5, 1, 5, 5, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]], "task_id": "00d62c1b", "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": 180, "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, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 5, 3, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3], [3, 5, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 5, 3, 3, 3, 3, 3, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 5, 5, 3, 5, 3, 3, 3, 5, 5, 5, 5, 5, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 5, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 3, 3, 3, 5, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 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, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3], [3, 3, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3], [3, 5, 3, 5, 5, 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, 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, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 5, 1, 1, 1, 5, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 5, 1, 1, 1, 5, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 5, 3, 5, 3, 5, 5, 5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3], [3, 5, 1, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 5, 3, 3, 3, 3, 3, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 5, 5, 1, 5, 3, 3, 3, 5, 5, 5, 5, 5, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 1, 1, 1, 5, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 1, 1, 1, 5, 1, 1, 1, 5, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 1, 1, 1, 5, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 1, 1, 1, 5, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 1, 1, 1, 5, 3, 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, 5, 5, 5, 5, 5, 3, 5, 5, 5, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 5, 1, 1, 1, 1, 5, 1, 1, 5, 3, 3, 3, 3, 3, 3, 3], [3, 3, 5, 3, 5, 5, 5, 5, 5, 3, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3], [3, 5, 1, 5, 5, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]], "task_id": "00d62c1b", "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 9 9 4 0 0 0 4 9 9 9 9 0 9 4 9 0 9 4 9 9 9 0 9 9 4 9 0 9 4 0 9 9 4 4 4 4 4 4 4 4 4 4 4 0 9 0 4 9 9 9 4 9 0 9 9 0 9 4 9 9 9 4 0 9 9 0 9 9 4 9 9 9 4 9 9 9 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 0 0 0 4 0 9 0 0 0 9 4 0 0 0 4 9 0 0 0 0 0 4 0 0 0 4 0 0 9 Output: 0 0 0 4 0 0 0 4 0 9 0 0 0 0 4 0 0 9 4 9 0 0 0 0 0 4 0 0 0 4 0 0 9 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 0 9 0 4 0 9 9 9 0 9 4 9 0 9 4 9 0 9 9 0 9 4 0 9 9 4 0 9 9 4 4 4 4 4 4 4 4 4 4 4 9 0 9 4 9 9 9 4 9 9 9 0 9 9 4 9 9 9 4 9 9 9 9 9 9 4 0 9 9 4 9 9 9 Example 2: Input: 0 0 0 4 9 0 9 4 9 9 9 0 0 9 4 0 9 9 4 9 9 9 9 0 0 4 9 0 9 4 9 9 9 4 4 4 4 4 4 4 4 4 4 4 9 0 0 4 9 0 9 4 0 0 0 0 9 9 4 9 9 9 4 0 9 0 9 0 9 4 9 9 9 4 0 0 0 4 4 4 4 4 4 4 4 4 4 4 9 0 0 4 9 0 0 4 9 9 0 0 9 0 4 0 9 0 4 9 9 9 9 9 0 4 0 9 0 4 0 9 9 Output: 0 0 0 4 0 0 0 4 9 0 0 0 9 0 4 0 0 9 4 0 9 0 0 0 0 4 9 0 0 4 0 9 0 4 4 4 4 4 4 4 4 4 4 4 9 0 0 4 9 0 0 4 9 0 9 0 9 0 4 0 9 9 4 0 9 9 9 9 0 4 9 0 9 4 9 0 9 4 4 4 4 4 4 4 4 4 4 4 9 9 0 4 9 0 9 4 9 9 9 9 9 9 4 9 9 9 4 9 9 9 0 9 9 4 9 9 9 4 9 9 9 Example 3: Input: 9 0 9 4 9 0 9 4 9 9 0 9 0 9 4 9 9 9 4 0 9 9 0 9 9 4 9 9 9 4 9 9 9 4 4 4 4 4 4 4 4 4 4 4 0 9 0 4 0 0 9 4 0 0 0 9 0 0 4 9 0 9 4 0 0 0 0 0 9 4 0 9 0 4 0 0 0 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 9 0 0 4 0 9 0 9 0 0 4 0 0 0 4 9 9 0 0 0 9 4 0 0 0 4 9 0 9 Output: 0 0 0 4 9 0 0 4 0 0 0 0 0 0 4 0 0 0 4 9 0 0 0 0 0 4 0 0 0 4 0 0 9 4 4 4 4 4 4 4 4 4 4 4 0 9 0 4 0 0 9 4 0 9 0 9 0 0 4 9 0 9 4 9 9 0 0 0 9 4 0 9 0 4 9 0 9 4 4 4 4 4 4 4 4 4 4 4 9 0 9 4 9 9 0 4 9 0 9 9 0 9 4 0 9 9 4 9 9 9 0 9 9 4 9 9 9 4 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 0 4 9 0 0 4 0 0 0 9 9 9 4 9 0 9 4 0 0 0 0 9 9 4 0 9 9 4 0 0 0 4 4 4 4 4 4 4 4 4 4 4 9 0 9 4 9 9 9 4 9 9 9 9 0 9 4 9 9 9 4 9 9 0 9 9 0 4 9 9 9 4 9 9 9 4 4 4 4 4 4 4 4 4 4 4 0 9 0 4 0 9 0 4 0 9 0 9 0 0 4 9 0 0 4 9 0 9 0 0 0 4 0 9 0 4 0 0 9
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "0 0 0 4 0 9 0 4 0 9 0\n0 0 0 4 9 0 0 4 9 0 0\n0 0 0 4 0 0 0 4 0 9 0\n4 4 4 4 4 4 4 4 4 4 4\n0 9 0 4 9 0 0 4 9 0 9\n9 0 9 4 9 0 9 4 9 0 9\n0 0 9 4 0 9 9 4 9 9 0\n4 4 4 4 4 4 4 4 4 4 4\n9 9 0 4 9 9 9 4 9 9 9\n9 9 9 4 9 9 0 4 9 9 9\n0 9 9 4 9 9 9 4 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:\n0 9 9 4 0 0 0 4 9 9 9\n9 0 9 4 9 0 9 4 9 9 9\n0 9 9 4 9 0 9 4 0 9 9\n4 4 4 4 4 4 4 4 4 4 4\n0 9 0 4 9 9 9 4 9 0 9\n9 0 9 4 9 9 9 4 0 9 9\n0 9 9 4 9 9 9 4 9 9 9\n4 4 4 4 4 4 4 4 4 4 4\n0 0 0 4 0 0 0 4 0 9 0\n0 0 9 4 0 0 0 4 9 0 0\n0 0 0 4 0 0 0 4 0 0 9\nOutput:\n0 0 0 4 0 0 0 4 0 9 0\n0 0 0 4 0 0 9 4 9 0 0\n0 0 0 4 0 0 0 4 0 0 9\n4 4 4 4 4 4 4 4 4 4 4\n0 0 0 4 0 9 0 4 0 9 9\n9 0 9 4 9 0 9 4 9 0 9\n9 0 9 4 0 9 9 4 0 9 9\n4 4 4 4 4 4 4 4 4 4 4\n9 0 9 4 9 9 9 4 9 9 9\n0 9 9 4 9 9 9 4 9 9 9\n9 9 9 4 0 9 9 4 9 9 9\n\nExample 2:\n\nInput:\n0 0 0 4 9 0 9 4 9 9 9\n0 0 9 4 0 9 9 4 9 9 9\n9 0 0 4 9 0 9 4 9 9 9\n4 4 4 4 4 4 4 4 4 4 4\n9 0 0 4 9 0 9 4 0 0 0\n0 9 9 4 9 9 9 4 0 9 0\n9 0 9 4 9 9 9 4 0 0 0\n4 4 4 4 4 4 4 4 4 4 4\n9 0 0 4 9 0 0 4 9 9 0\n0 9 0 4 0 9 0 4 9 9 9\n9 9 0 4 0 9 0 4 0 9 9\nOutput:\n0 0 0 4 0 0 0 4 9 0 0\n0 9 0 4 0 0 9 4 0 9 0\n0 0 0 4 9 0 0 4 0 9 0\n4 4 4 4 4 4 4 4 4 4 4\n9 0 0 4 9 0 0 4 9 0 9\n0 9 0 4 0 9 9 4 0 9 9\n9 9 0 4 9 0 9 4 9 0 9\n4 4 4 4 4 4 4 4 4 4 4\n9 9 0 4 9 0 9 4 9 9 9\n9 9 9 4 9 9 9 4 9 9 9\n0 9 9 4 9 9 9 4 9 9 9\n\nExample 3:\n\nInput:\n9 0 9 4 9 0 9 4 9 9 0\n9 0 9 4 9 9 9 4 0 9 9\n0 9 9 4 9 9 9 4 9 9 9\n4 4 4 4 4 4 4 4 4 4 4\n0 9 0 4 0 0 9 4 0 0 0\n9 0 0 4 9 0 9 4 0 0 0\n0 0 9 4 0 9 0 4 0 0 0\n4 4 4 4 4 4 4 4 4 4 4\n0 0 0 4 9 0 0 4 0 9 0\n9 0 0 4 0 0 0 4 9 9 0\n0 0 9 4 0 0 0 4 9 0 9\nOutput:\n0 0 0 4 9 0 0 4 0 0 0\n0 0 0 4 0 0 0 4 9 0 0\n0 0 0 4 0 0 0 4 0 0 9\n4 4 4 4 4 4 4 4 4 4 4\n0 9 0 4 0 0 9 4 0 9 0\n9 0 0 4 9 0 9 4 9 9 0\n0 0 9 4 0 9 0 4 9 0 9\n4 4 4 4 4 4 4 4 4 4 4\n9 0 9 4 9 9 0 4 9 0 9\n9 0 9 4 0 9 9 4 9 9 9\n0 9 9 4 9 9 9 4 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 0 4 9 0 0 4 0 0 0\n9 9 9 4 9 0 9 4 0 0 0\n0 9 9 4 0 9 9 4 0 0 0\n4 4 4 4 4 4 4 4 4 4 4\n9 0 9 4 9 9 9 4 9 9 9\n9 0 9 4 9 9 9 4 9 9 0\n9 9 0 4 9 9 9 4 9 9 9\n4 4 4 4 4 4 4 4 4 4 4\n0 9 0 4 0 9 0 4 0 9 0\n9 0 0 4 9 0 0 4 9 0 9\n0 0 0 4 0 9 0 4 0 0 9\n", "answer": "0 0 0 4 0 9 0 4 0 9 0\n0 0 0 4 9 0 0 4 9 0 0\n0 0 0 4 0 0 0 4 0 9 0\n4 4 4 4 4 4 4 4 4 4 4\n0 9 0 4 9 0 0 4 9 0 9\n9 0 9 4 9 0 9 4 9 0 9\n0 0 9 4 0 9 9 4 9 9 0\n4 4 4 4 4 4 4 4 4 4 4\n9 9 0 4 9 9 9 4 9 9 9\n9 9 9 4 9 9 0 4 9 9 9\n0 9 9 4 9 9 9 4 9 9 9", "metadata": {"source_dataset": "arc_agi", "source_index": 181, "input": [[9, 9, 0, 4, 9, 0, 0, 4, 0, 0, 0], [9, 9, 9, 4, 9, 0, 9, 4, 0, 0, 0], [0, 9, 9, 4, 0, 9, 9, 4, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 0, 9, 4, 9, 9, 9, 4, 9, 9, 9], [9, 0, 9, 4, 9, 9, 9, 4, 9, 9, 0], [9, 9, 0, 4, 9, 9, 9, 4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 9, 0, 4, 0, 9, 0, 4, 0, 9, 0], [9, 0, 0, 4, 9, 0, 0, 4, 9, 0, 9], [0, 0, 0, 4, 0, 9, 0, 4, 0, 0, 9]], "output": [[0, 0, 0, 4, 0, 9, 0, 4, 0, 9, 0], [0, 0, 0, 4, 9, 0, 0, 4, 9, 0, 0], [0, 0, 0, 4, 0, 0, 0, 4, 0, 9, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 9, 0, 4, 9, 0, 0, 4, 9, 0, 9], [9, 0, 9, 4, 9, 0, 9, 4, 9, 0, 9], [0, 0, 9, 4, 0, 9, 9, 4, 9, 9, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 0, 4, 9, 9, 9, 4, 9, 9, 9], [9, 9, 9, 4, 9, 9, 0, 4, 9, 9, 9], [0, 9, 9, 4, 9, 9, 9, 4, 9, 9, 9]], "task_id": "dc2aa30b", "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": 181, "input": [[9, 9, 0, 4, 9, 0, 0, 4, 0, 0, 0], [9, 9, 9, 4, 9, 0, 9, 4, 0, 0, 0], [0, 9, 9, 4, 0, 9, 9, 4, 0, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 0, 9, 4, 9, 9, 9, 4, 9, 9, 9], [9, 0, 9, 4, 9, 9, 9, 4, 9, 9, 0], [9, 9, 0, 4, 9, 9, 9, 4, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 9, 0, 4, 0, 9, 0, 4, 0, 9, 0], [9, 0, 0, 4, 9, 0, 0, 4, 9, 0, 9], [0, 0, 0, 4, 0, 9, 0, 4, 0, 0, 9]], "output": [[0, 0, 0, 4, 0, 9, 0, 4, 0, 9, 0], [0, 0, 0, 4, 9, 0, 0, 4, 9, 0, 0], [0, 0, 0, 4, 0, 0, 0, 4, 0, 9, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [0, 9, 0, 4, 9, 0, 0, 4, 9, 0, 9], [9, 0, 9, 4, 9, 0, 9, 4, 9, 0, 9], [0, 0, 9, 4, 0, 9, 9, 4, 9, 9, 0], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 0, 4, 9, 9, 9, 4, 9, 9, 9], [9, 9, 9, 4, 9, 9, 0, 4, 9, 9, 9], [0, 9, 9, 4, 9, 9, 9, 4, 9, 9, 9]], "task_id": "dc2aa30b", "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 5 5 7 7 7 5 7 5 Output: 7 7 5 5 5 5 7 7 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 5 5 7 7 5 5 5 5 7 7 5 5 Example 2: Input: 6 6 6 6 6 6 6 6 6 Output: 6 6 6 6 6 6 6 6 6 Example 3: Input: 8 7 7 8 8 6 7 6 6 Output: 8 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 6 6 6 8 8 8 8 8 8 6 6 6 8 8 8 8 8 8 6 6 6 7 7 7 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 Example 4: Input: 0 0 2 0 0 2 2 2 2 Output: 0 0 0 0 2 2 0 0 0 0 2 2 0 0 0 0 2 2 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Example 5: Input: 6 5 7 9 5 5 7 9 6 Output: 6 6 6 6 5 5 5 5 7 7 7 7 6 6 6 6 5 5 5 5 7 7 7 7 6 6 6 6 5 5 5 5 7 7 7 7 6 6 6 6 5 5 5 5 7 7 7 7 9 9 9 9 5 5 5 5 5 5 5 5 9 9 9 9 5 5 5 5 5 5 5 5 9 9 9 9 5 5 5 5 5 5 5 5 9 9 9 9 5 5 5 5 5 5 5 5 7 7 7 7 9 9 9 9 6 6 6 6 7 7 7 7 9 9 9 9 6 6 6 6 7 7 7 7 9 9 9 9 6 6 6 6 7 7 7 7 9 9 9 9 6 6 6 6 Example 6: Input: 2 2 2 2 2 2 2 2 2 Output: 2 2 2 2 2 2 2 2 2 Example 7: Input: 3 3 3 0 0 0 0 3 0 Output: 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 3 3 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 3 8 0 2 2 0 6 6
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "8 8 8 8 8 3 3 3 3 3 8 8 8 8 8\n8 8 8 8 8 3 3 3 3 3 8 8 8 8 8\n8 8 8 8 8 3 3 3 3 3 8 8 8 8 8\n8 8 8 8 8 3 3 3 3 3 8 8 8 8 8\n8 8 8 8 8 3 3 3 3 3 8 8 8 8 8\n0 0 0 0 0 2 2 2 2 2 2 2 2 2 2\n0 0 0 0 0 2 2 2 2 2 2 2 2 2 2\n0 0 0 0 0 2 2 2 2 2 2 2 2 2 2\n0 0 0 0 0 2 2 2 2 2 2 2 2 2 2\n0 0 0 0 0 2 2 2 2 2 2 2 2 2 2\n0 0 0 0 0 6 6 6 6 6 6 6 6 6 6\n0 0 0 0 0 6 6 6 6 6 6 6 6 6 6\n0 0 0 0 0 6 6 6 6 6 6 6 6 6 6\n0 0 0 0 0 6 6 6 6 6 6 6 6 6 6\n0 0 0 0 0 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:\n7 5 5\n7 7 7\n5 7 5\nOutput:\n7 7 5 5 5 5\n7 7 5 5 5 5\n7 7 7 7 7 7\n7 7 7 7 7 7\n5 5 7 7 5 5\n5 5 7 7 5 5\n\nExample 2:\n\nInput:\n6 6 6\n6 6 6\n6 6 6\nOutput:\n6 6 6\n6 6 6\n6 6 6\n\nExample 3:\n\nInput:\n8 7 7\n8 8 6\n7 6 6\nOutput:\n8 8 8 7 7 7 7 7 7\n8 8 8 7 7 7 7 7 7\n8 8 8 7 7 7 7 7 7\n8 8 8 8 8 8 6 6 6\n8 8 8 8 8 8 6 6 6\n8 8 8 8 8 8 6 6 6\n7 7 7 6 6 6 6 6 6\n7 7 7 6 6 6 6 6 6\n7 7 7 6 6 6 6 6 6\n\nExample 4:\n\nInput:\n0 0 2\n0 0 2\n2 2 2\nOutput:\n0 0 0 0 2 2\n0 0 0 0 2 2\n0 0 0 0 2 2\n0 0 0 0 2 2\n2 2 2 2 2 2\n2 2 2 2 2 2\n\nExample 5:\n\nInput:\n6 5 7\n9 5 5\n7 9 6\nOutput:\n6 6 6 6 5 5 5 5 7 7 7 7\n6 6 6 6 5 5 5 5 7 7 7 7\n6 6 6 6 5 5 5 5 7 7 7 7\n6 6 6 6 5 5 5 5 7 7 7 7\n9 9 9 9 5 5 5 5 5 5 5 5\n9 9 9 9 5 5 5 5 5 5 5 5\n9 9 9 9 5 5 5 5 5 5 5 5\n9 9 9 9 5 5 5 5 5 5 5 5\n7 7 7 7 9 9 9 9 6 6 6 6\n7 7 7 7 9 9 9 9 6 6 6 6\n7 7 7 7 9 9 9 9 6 6 6 6\n7 7 7 7 9 9 9 9 6 6 6 6\n\nExample 6:\n\nInput:\n2 2 2\n2 2 2\n2 2 2\nOutput:\n2 2 2\n2 2 2\n2 2 2\n\nExample 7:\n\nInput:\n3 3 3\n0 0 0\n0 3 0\nOutput:\n3 3 3 3 3 3\n3 3 3 3 3 3\n0 0 0 0 0 0\n0 0 0 0 0 0\n0 0 3 3 0 0\n0 0 3 3 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 3 8\n0 2 2\n0 6 6\n", "answer": "8 8 8 8 8 3 3 3 3 3 8 8 8 8 8\n8 8 8 8 8 3 3 3 3 3 8 8 8 8 8\n8 8 8 8 8 3 3 3 3 3 8 8 8 8 8\n8 8 8 8 8 3 3 3 3 3 8 8 8 8 8\n8 8 8 8 8 3 3 3 3 3 8 8 8 8 8\n0 0 0 0 0 2 2 2 2 2 2 2 2 2 2\n0 0 0 0 0 2 2 2 2 2 2 2 2 2 2\n0 0 0 0 0 2 2 2 2 2 2 2 2 2 2\n0 0 0 0 0 2 2 2 2 2 2 2 2 2 2\n0 0 0 0 0 2 2 2 2 2 2 2 2 2 2\n0 0 0 0 0 6 6 6 6 6 6 6 6 6 6\n0 0 0 0 0 6 6 6 6 6 6 6 6 6 6\n0 0 0 0 0 6 6 6 6 6 6 6 6 6 6\n0 0 0 0 0 6 6 6 6 6 6 6 6 6 6\n0 0 0 0 0 6 6 6 6 6 6 6 6 6 6", "metadata": {"source_dataset": "arc_agi", "source_index": 182, "input": [[8, 3, 8], [0, 2, 2], [0, 6, 6]], "output": [[8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 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], [0, 0, 0, 0, 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], [0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_id": "d4b1c2b1", "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": 182, "input": [[8, 3, 8], [0, 2, 2], [0, 6, 6]], "output": [[8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 3, 3, 3, 3, 3, 8, 8, 8, 8, 8], [0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 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], [0, 0, 0, 0, 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], [0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_id": "d4b1c2b1", "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 9 9 9 5 5 5 6 3 6 3 9 3 3 5 3 6 6 6 9 3 9 5 3 5 Output: 6 6 6 6 3 6 6 6 6 Example 2: Input: 3 6 3 3 0 3 3 7 3 8 3 8 3 6 3 3 0 3 3 7 3 3 8 8 6 3 6 0 3 0 7 3 7 8 8 3 Output: 8 3 8 3 8 8 8 8 3 Example 3: Input: 4 3 3 4 3 3 3 4 4 8 3 8 3 8 3 8 3 8 7 3 3 7 3 3 3 7 7 0 3 3 0 3 3 3 0 0 Output: 8 3 8 3 8 3 8 3 8 Example 4: Input: 3 4 3 4 4 3 3 3 4 3 6 3 6 6 3 3 3 6 3 0 3 0 0 3 3 3 0 9 9 9 3 9 3 9 9 9 3 7 3 7 7 3 3 3 7 Output: 9 9 9 3 9 3 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: 3 6 3 3 9 3 5 3 5 3 7 3 3 2 3 6 3 6 9 3 9 3 5 3 7 3 7 2 3 2 3 6 3 3 9 3 5 5 5 3 7 3 3 2 3
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 3 5\n3 5 3\n5 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:\n6 6 6 9 9 9 5 5 5\n6 3 6 3 9 3 3 5 3\n6 6 6 9 3 9 5 3 5\nOutput:\n6 6 6\n6 3 6\n6 6 6\n\nExample 2:\n\nInput:\n3 6 3 3 0 3 3 7 3 8 3 8\n3 6 3 3 0 3 3 7 3 3 8 8\n6 3 6 0 3 0 7 3 7 8 8 3\nOutput:\n8 3 8\n3 8 8\n8 8 3\n\nExample 3:\n\nInput:\n4 3 3\n4 3 3\n3 4 4\n8 3 8\n3 8 3\n8 3 8\n7 3 3\n7 3 3\n3 7 7\n0 3 3\n0 3 3\n3 0 0\nOutput:\n8 3 8\n3 8 3\n8 3 8\n\nExample 4:\n\nInput:\n3 4 3\n4 4 3\n3 3 4\n3 6 3\n6 6 3\n3 3 6\n3 0 3\n0 0 3\n3 3 0\n9 9 9\n3 9 3\n9 9 9\n3 7 3\n7 7 3\n3 3 7\nOutput:\n9 9 9\n3 9 3\n9 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:\n3 6 3 3 9 3 5 3 5 3 7 3 3 2 3\n6 3 6 9 3 9 3 5 3 7 3 7 2 3 2\n3 6 3 3 9 3 5 5 5 3 7 3 3 2 3\n", "answer": "5 3 5\n3 5 3\n5 5 5", "metadata": {"source_dataset": "arc_agi", "source_index": 183, "input": [[3, 6, 3, 3, 9, 3, 5, 3, 5, 3, 7, 3, 3, 2, 3], [6, 3, 6, 9, 3, 9, 3, 5, 3, 7, 3, 7, 2, 3, 2], [3, 6, 3, 3, 9, 3, 5, 5, 5, 3, 7, 3, 3, 2, 3]], "output": [[5, 3, 5], [3, 5, 3], [5, 5, 5]], "task_id": "a87f7484", "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": 183, "input": [[3, 6, 3, 3, 9, 3, 5, 3, 5, 3, 7, 3, 3, 2, 3], [6, 3, 6, 9, 3, 9, 3, 5, 3, 7, 3, 7, 2, 3, 2], [3, 6, 3, 3, 9, 3, 5, 5, 5, 3, 7, 3, 3, 2, 3]], "output": [[5, 3, 5], [3, 5, 3], [5, 5, 5]], "task_id": "a87f7484", "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 9 6 6 9 6 9 6 6 9 6 Output: 6 6 9 6 6 9 6 6 6 9 6 9 9 6 9 6 6 6 9 6 6 9 6 6 6 6 9 6 6 9 6 6 6 9 6 9 9 6 9 6 6 6 9 6 6 9 6 6 Example 2: Input: 0 6 6 6 0 6 6 6 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 6 6 6 6 6 6 0 0 6 6 6 6 6 6 0 0 6 6 6 6 6 6 0 0 6 6 6 6 6 6 0 0 0 0 0 0 0 0 0 Example 3: Input: 0 0 0 6 6 0 6 0 6 6 0 0 Output: 6 6 0 0 0 0 6 6 6 0 6 0 0 6 0 6 0 0 0 6 6 0 0 0 0 0 0 6 6 0 0 0 6 0 6 0 0 6 0 6 6 6 0 0 0 0 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: 5 5 6 6 6 6 6 5 5 6 6 6
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 6 6 6 6 6 6 5\n6 6 6 5 5 6 6 6\n5 5 6 6 6 6 5 5\n5 5 6 6 6 6 5 5\n6 6 6 5 5 6 6 6\n5 6 6 6 6 6 6 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:\n6 6 9 6\n6 9 6 9\n6 6 9 6\nOutput:\n6 6 9 6 6 9 6 6\n6 9 6 9 9 6 9 6\n6 6 9 6 6 9 6 6\n6 6 9 6 6 9 6 6\n6 9 6 9 9 6 9 6\n6 6 9 6 6 9 6 6\n\nExample 2:\n\nInput:\n0 6 6 6\n0 6 6 6\n0 0 0 0\nOutput:\n0 0 0 0 0 0 0 0\n0 6 6 6 6 6 6 0\n0 6 6 6 6 6 6 0\n0 6 6 6 6 6 6 0\n0 6 6 6 6 6 6 0\n0 0 0 0 0 0 0 0\n\nExample 3:\n\nInput:\n0 0 0 6\n6 0 6 0\n6 6 0 0\nOutput:\n6 6 0 0 0 0 6 6\n6 0 6 0 0 6 0 6\n0 0 0 6 6 0 0 0\n0 0 0 6 6 0 0 0\n6 0 6 0 0 6 0 6\n6 6 0 0 0 0 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:\n5 5 6 6\n6 6 6 5\n5 6 6 6\n", "answer": "5 6 6 6 6 6 6 5\n6 6 6 5 5 6 6 6\n5 5 6 6 6 6 5 5\n5 5 6 6 6 6 5 5\n6 6 6 5 5 6 6 6\n5 6 6 6 6 6 6 5", "metadata": {"source_dataset": "arc_agi", "source_index": 184, "input": [[5, 5, 6, 6], [6, 6, 6, 5], [5, 6, 6, 6]], "output": [[5, 6, 6, 6, 6, 6, 6, 5], [6, 6, 6, 5, 5, 6, 6, 6], [5, 5, 6, 6, 6, 6, 5, 5], [5, 5, 6, 6, 6, 6, 5, 5], [6, 6, 6, 5, 5, 6, 6, 6], [5, 6, 6, 6, 6, 6, 6, 5]], "task_id": "3af2c5a8", "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": 184, "input": [[5, 5, 6, 6], [6, 6, 6, 5], [5, 6, 6, 6]], "output": [[5, 6, 6, 6, 6, 6, 6, 5], [6, 6, 6, 5, 5, 6, 6, 6], [5, 5, 6, 6, 6, 6, 5, 5], [5, 5, 6, 6, 6, 6, 5, 5], [6, 6, 6, 5, 5, 6, 6, 6], [5, 6, 6, 6, 6, 6, 6, 5]], "task_id": "3af2c5a8", "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 6 8 1 8 8 1 8 8 8 6 1 1 1 1 1 1 8 8 6 8 1 8 8 1 8 8 8 6 8 1 8 8 1 8 8 8 6 1 1 1 1 1 1 8 8 6 8 1 8 8 1 8 6 6 6 6 6 6 6 6 6 7 2 6 8 8 8 8 8 8 0 3 6 8 8 8 8 8 8 Output: 8 7 8 8 2 8 7 7 7 2 2 2 8 7 8 8 2 8 8 0 8 8 3 8 0 0 0 3 3 3 8 0 8 8 3 8 Example 2: Input: 2 9 6 8 8 8 8 8 8 0 3 6 8 8 8 8 8 8 6 6 6 6 6 6 6 6 6 8 8 6 8 1 8 8 8 1 8 8 6 8 1 8 1 8 8 8 8 6 8 8 8 8 1 8 8 8 6 1 1 8 1 1 8 8 8 6 8 8 1 8 8 1 8 8 6 8 8 1 8 8 1 Output: 8 2 8 8 8 9 8 2 8 9 8 8 8 8 8 8 9 8 0 0 8 3 3 8 8 8 0 8 8 3 8 8 0 8 8 3 Example 3: Input: 8 8 8 8 1 8 6 8 8 1 1 1 1 1 1 6 8 8 8 8 8 8 1 8 6 8 8 1 1 8 1 8 1 6 8 8 1 1 8 8 8 8 6 8 8 8 8 1 1 8 1 6 8 8 6 6 6 6 6 6 6 6 6 8 8 8 8 8 8 6 3 7 8 8 8 8 8 8 6 7 0 Output: 8 8 8 8 7 8 3 3 3 7 7 7 8 8 8 8 7 8 7 7 8 0 8 0 7 7 8 8 8 8 8 8 7 0 8 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 6 3 4 8 8 8 8 8 8 6 0 7 6 6 6 6 6 6 6 6 6 8 8 1 8 8 8 6 8 8 8 1 8 8 8 1 6 8 8 8 1 1 1 8 8 6 8 8 8 1 8 1 8 1 6 8 8 1 1 8 1 8 1 6 8 8 8 8 8 1 8 8 6 8 8
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "8 8 3 8 8 8\n8 3 8 8 8 4\n8 3 3 4 8 8\n8 0 8 7 8 7\n0 0 8 7 8 7\n8 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:\n8 8 6 8 1 8 8 1 8\n8 8 6 1 1 1 1 1 1\n8 8 6 8 1 8 8 1 8\n8 8 6 8 1 8 8 1 8\n8 8 6 1 1 1 1 1 1\n8 8 6 8 1 8 8 1 8\n6 6 6 6 6 6 6 6 6\n7 2 6 8 8 8 8 8 8\n0 3 6 8 8 8 8 8 8\nOutput:\n8 7 8 8 2 8\n7 7 7 2 2 2\n8 7 8 8 2 8\n8 0 8 8 3 8\n0 0 0 3 3 3\n8 0 8 8 3 8\n\nExample 2:\n\nInput:\n2 9 6 8 8 8 8 8 8\n0 3 6 8 8 8 8 8 8\n6 6 6 6 6 6 6 6 6\n8 8 6 8 1 8 8 8 1\n8 8 6 8 1 8 1 8 8\n8 8 6 8 8 8 8 1 8\n8 8 6 1 1 8 1 1 8\n8 8 6 8 8 1 8 8 1\n8 8 6 8 8 1 8 8 1\nOutput:\n8 2 8 8 8 9\n8 2 8 9 8 8\n8 8 8 8 9 8\n0 0 8 3 3 8\n8 8 0 8 8 3\n8 8 0 8 8 3\n\nExample 3:\n\nInput:\n8 8 8 8 1 8 6 8 8\n1 1 1 1 1 1 6 8 8\n8 8 8 8 1 8 6 8 8\n1 1 8 1 8 1 6 8 8\n1 1 8 8 8 8 6 8 8\n8 8 1 1 8 1 6 8 8\n6 6 6 6 6 6 6 6 6\n8 8 8 8 8 8 6 3 7\n8 8 8 8 8 8 6 7 0\nOutput:\n8 8 8 8 7 8\n3 3 3 7 7 7\n8 8 8 8 7 8\n7 7 8 0 8 0\n7 7 8 8 8 8\n8 8 7 0 8 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 6 3 4\n8 8 8 8 8 8 6 0 7\n6 6 6 6 6 6 6 6 6\n8 8 1 8 8 8 6 8 8\n8 1 8 8 8 1 6 8 8\n8 1 1 1 8 8 6 8 8\n8 1 8 1 8 1 6 8 8\n1 1 8 1 8 1 6 8 8\n8 8 8 1 8 8 6 8 8\n", "answer": "8 8 3 8 8 8\n8 3 8 8 8 4\n8 3 3 4 8 8\n8 0 8 7 8 7\n0 0 8 7 8 7\n8 8 8 7 8 8", "metadata": {"source_dataset": "arc_agi", "source_index": 185, "input": [[8, 8, 8, 8, 8, 8, 6, 3, 4], [8, 8, 8, 8, 8, 8, 6, 0, 7], [6, 6, 6, 6, 6, 6, 6, 6, 6], [8, 8, 1, 8, 8, 8, 6, 8, 8], [8, 1, 8, 8, 8, 1, 6, 8, 8], [8, 1, 1, 1, 8, 8, 6, 8, 8], [8, 1, 8, 1, 8, 1, 6, 8, 8], [1, 1, 8, 1, 8, 1, 6, 8, 8], [8, 8, 8, 1, 8, 8, 6, 8, 8]], "output": [[8, 8, 3, 8, 8, 8], [8, 3, 8, 8, 8, 4], [8, 3, 3, 4, 8, 8], [8, 0, 8, 7, 8, 7], [0, 0, 8, 7, 8, 7], [8, 8, 8, 7, 8, 8]], "task_id": "7c008303", "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": 185, "input": [[8, 8, 8, 8, 8, 8, 6, 3, 4], [8, 8, 8, 8, 8, 8, 6, 0, 7], [6, 6, 6, 6, 6, 6, 6, 6, 6], [8, 8, 1, 8, 8, 8, 6, 8, 8], [8, 1, 8, 8, 8, 1, 6, 8, 8], [8, 1, 1, 1, 8, 8, 6, 8, 8], [8, 1, 8, 1, 8, 1, 6, 8, 8], [1, 1, 8, 1, 8, 1, 6, 8, 8], [8, 8, 8, 1, 8, 8, 6, 8, 8]], "output": [[8, 8, 3, 8, 8, 8], [8, 3, 8, 8, 8, 4], [8, 3, 3, 4, 8, 8], [8, 0, 8, 7, 8, 7], [0, 0, 8, 7, 8, 7], [8, 8, 8, 7, 8, 8]], "task_id": "7c008303", "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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 0 0 0 0 0 0 0 0 0 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 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 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 8 7 7 7 7 7 7 7 7 7 4 0 0 0 0 8 0 0 0 6 0 0 0 0 0 4 0 0 0 0 8 0 0 0 6 0 0 0 0 0 4 0 0 0 0 8 6 6 6 5 6 6 6 6 6 4 0 0 0 0 8 0 0 0 6 0 0 0 0 0 4 0 0 0 0 8 0 0 0 6 0 0 0 0 0 4 0 0 0 0 8 0 0 0 6 0 0 0 0 0 4 0 0 0 0 8 9 9 9 9 9 9 9 9 9 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 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 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 2 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 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 8 8 8 8 8 8 8 8 8 2 0 0 0 0 1 0 0 0 0 0 0 6 0 0 2 0 0 0 0 1 0 0 0 0 0 0 6 0 0 2 0 0 0 0 1 0 0 0 0 0 0 6 0 0 2 0 0 0 0 1 0 0 0 0 0 0 6 0 0 2 0 0 0 0 1 0 0 0 0 0 0 6 0 0 2 0 0 0 0 1 6 6 6 6 6 6 5 6 6 2 0 0 0 0 1 0 0 0 0 0 0 6 0 0 2 0 0 0 0 1 0 0 0 0 0 0 6 0 0 2 0 0 0 0 1 0 0 0 0 0 0 6 0 0 2 0 0 0 0 1 3 3 3 3 3 3 3 3 3 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 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 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 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 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 2 2 2 2 2 2 2 2 2 9 0 0 0 8 0 0 0 6 0 0 0 0 0 9 0 0 0 8 0 0 0 6 0 0 0 0 0 9 0 0 0 8 0 0 0 6 0 0 0 0 0 9 0 0 0 8 6 6 6 5 6 6 6 6 6 9 0 0 0 8 0 0 0 6 0 0 0 0 0 9 0 0 0 8 0 0 0 6 0 0 0 0 0 9 0 0 0 8 4 4 4 4 4 4 4 4 4 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 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 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 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 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 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 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 2 2 2 2 2 2 2 2 2 2 2 3 0\n0 0 4 0 0 0 0 0 6 0 0 0 0 0 3 0\n0 0 4 0 0 0 0 0 6 0 0 0 0 0 3 0\n0 0 4 0 0 0 0 0 6 0 0 0 0 0 3 0\n0 0 4 0 0 0 0 0 6 0 0 0 0 0 3 0\n0 0 4 0 0 0 0 0 6 0 0 0 0 0 3 0\n0 0 4 0 0 0 0 0 6 0 0 0 0 0 3 0\n0 0 4 6 6 6 6 6 5 6 6 6 6 6 3 0\n0 0 4 0 0 0 0 0 6 0 0 0 0 0 3 0\n0 0 4 7 7 7 7 7 7 7 7 7 7 7 3 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", "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 0 0 0 0 0 7 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 5 0 0 0 0 0 0 0 0\n0 0 8 0 0 0 0 0 0 0 0 0 4 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 9 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 8 7 7 7 7 7 7 7 7 7 4 0 0\n0 0 8 0 0 0 6 0 0 0 0 0 4 0 0\n0 0 8 0 0 0 6 0 0 0 0 0 4 0 0\n0 0 8 6 6 6 5 6 6 6 6 6 4 0 0\n0 0 8 0 0 0 6 0 0 0 0 0 4 0 0\n0 0 8 0 0 0 6 0 0 0 0 0 4 0 0\n0 0 8 0 0 0 6 0 0 0 0 0 4 0 0\n0 0 8 9 9 9 9 9 9 9 9 9 4 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 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 8 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\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 5 0 0 0 0 0 0\n0 1 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 2 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 3 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 1 8 8 8 8 8 8 8 8 8 2 0 0 0\n0 1 0 0 0 0 0 0 6 0 0 2 0 0 0\n0 1 0 0 0 0 0 0 6 0 0 2 0 0 0\n0 1 0 0 0 0 0 0 6 0 0 2 0 0 0\n0 1 0 0 0 0 0 0 6 0 0 2 0 0 0\n0 1 0 0 0 0 0 0 6 0 0 2 0 0 0\n0 1 6 6 6 6 6 6 5 6 6 2 0 0 0\n0 1 0 0 0 0 0 0 6 0 0 2 0 0 0\n0 1 0 0 0 0 0 0 6 0 0 2 0 0 0\n0 1 0 0 0 0 0 0 6 0 0 2 0 0 0\n0 1 3 3 3 3 3 3 3 3 3 2 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 3:\n\nInput:\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 0 0 0 0\n0 0 0 0 0 0 0 0 2 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 5 0 0 0 0 0 9 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 8 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 4 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:\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 0 0 0 0\n0 0 8 2 2 2 2 2 2 2 2 2 9 0\n0 0 8 0 0 0 6 0 0 0 0 0 9 0\n0 0 8 0 0 0 6 0 0 0 0 0 9 0\n0 0 8 0 0 0 6 0 0 0 0 0 9 0\n0 0 8 6 6 6 5 6 6 6 6 6 9 0\n0 0 8 0 0 0 6 0 0 0 0 0 9 0\n0 0 8 0 0 0 6 0 0 0 0 0 9 0\n0 0 8 4 4 4 4 4 4 4 4 4 9 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\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 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 2 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 3 0\n0 0 4 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 5 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 7 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", "answer": "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\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 4 2 2 2 2 2 2 2 2 2 2 2 3 0\n0 0 4 0 0 0 0 0 6 0 0 0 0 0 3 0\n0 0 4 0 0 0 0 0 6 0 0 0 0 0 3 0\n0 0 4 0 0 0 0 0 6 0 0 0 0 0 3 0\n0 0 4 0 0 0 0 0 6 0 0 0 0 0 3 0\n0 0 4 0 0 0 0 0 6 0 0 0 0 0 3 0\n0 0 4 0 0 0 0 0 6 0 0 0 0 0 3 0\n0 0 4 6 6 6 6 6 5 6 6 6 6 6 3 0\n0 0 4 0 0 0 0 0 6 0 0 0 0 0 3 0\n0 0 4 7 7 7 7 7 7 7 7 7 7 7 3 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", "metadata": {"source_dataset": "arc_agi", "source_index": 186, "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, 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, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 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, 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, 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], [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, 0, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 0], [0, 0, 4, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0], [0, 0, 4, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0], [0, 0, 4, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0], [0, 0, 4, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0], [0, 0, 4, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0], [0, 0, 4, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0], [0, 0, 4, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 3, 0], [0, 0, 4, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0], [0, 0, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 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]], "task_id": "e4075551", "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": 186, "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, 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, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 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, 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, 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], [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, 0, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 0], [0, 0, 4, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0], [0, 0, 4, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0], [0, 0, 4, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0], [0, 0, 4, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0], [0, 0, 4, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0], [0, 0, 4, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0], [0, 0, 4, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 3, 0], [0, 0, 4, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0], [0, 0, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 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]], "task_id": "e4075551", "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: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 7 2 2 2 2 2 7 9 9 9 9 9 7 7 2 7 7 7 2 7 2 7 7 7 2 7 9 7 7 7 9 7 7 2 7 7 7 2 7 2 7 2 2 2 7 9 7 7 7 9 7 7 2 7 7 7 2 7 2 7 2 7 2 7 9 7 7 7 9 7 7 2 2 2 2 2 7 2 2 2 2 2 7 9 9 9 9 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 9 9 9 9 7 5 5 5 5 5 7 6 6 6 6 6 7 7 9 7 9 7 9 7 5 7 5 7 5 7 6 7 7 7 6 7 7 9 9 9 9 9 7 5 7 5 7 5 7 6 7 6 7 6 7 7 9 7 9 7 9 7 5 7 5 7 5 7 6 7 7 7 6 7 7 9 9 9 9 9 7 5 5 5 5 5 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 5 5 5 5 7 9 9 9 9 9 7 6 6 6 6 6 7 7 5 7 7 7 5 7 9 7 7 7 9 7 6 7 7 7 6 7 7 5 7 7 7 5 7 9 7 7 7 9 7 6 7 7 7 6 7 7 5 7 7 7 5 7 9 7 7 7 9 7 6 7 7 7 6 7 7 5 5 5 5 5 7 9 9 9 9 9 7 6 6 6 6 6 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 2 2 2 2 2 7 2 2 2 2 2 7 9 9 9 9 9 7 7 2 7 7 7 2 7 2 7 7 7 2 7 9 7 9 7 9 7 7 2 7 2 2 2 7 2 7 2 2 2 7 9 9 9 9 9 7 7 2 7 2 7 2 7 2 7 2 7 2 7 9 7 9 7 9 7 7 2 2 2 2 2 7 2 2 2 2 2 7 9 9 9 9 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 9 9 9 9 7 5 5 5 5 5 7 6 6 6 6 6 7 7 9 7 9 7 9 7 5 7 5 7 5 7 6 7 7 7 6 7 7 9 9 9 9 9 7 5 7 5 7 5 7 6 7 6 7 6 7 7 9 7 9 7 9 7 5 7 5 7 5 7 6 7 7 7 6 7 7 9 9 9 9 9 7 5 5 5 5 5 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 5 5 5 5 7 9 9 9 9 9 7 6 6 6 6 6 7 7 5 7 5 7 5 7 9 7 9 7 9 7 6 7 7 7 6 7 7 5 7 5 7 5 7 9 9 9 9 9 7 6 7 6 7 6 7 7 5 7 5 7 5 7 9 7 9 7 9 7 6 7 7 7 6 7 7 5 5 5 5 5 7 9 9 9 9 9 7 6 6 6 6 6 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 7 7 7 7 7 7 9 9 9 9 9 7 0 0 0 0 0 7 5 5 5 5 5 7 9 9 9 9 9 7 7 9 7 7 7 9 7 0 7 7 7 0 7 5 7 7 7 5 7 9 7 7 7 9 7 7 9 7 7 7 9 7 0 7 0 7 0 7 5 7 7 7 5 7 9 7 7 7 9 7 7 9 7 7 7 9 7 0 7 7 7 0 7 5 7 7 7 5 7 9 7 7 7 9 7 7 9 9 9 9 9 7 0 0 0 0 0 7 5 5 5 5 5 7 9 9 9 9 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 1 1 1 1 1 7 9 9 9 9 9 7 6 6 6 6 6 7 4 4 4 4 4 7 7 1 7 7 7 1 7 9 7 7 7 9 7 6 7 6 7 6 7 4 7 7 7 4 7 7 1 7 7 7 1 7 9 7 7 7 9 7 6 7 6 7 6 7 4 7 7 7 4 7 7 1 7 7 7 1 7 9 7 7 7 9 7 6 7 6 7 6 7 4 7 7 7 4 7 7 1 1 1 1 1 7 9 9 9 9 9 7 6 6 6 6 6 7 4 4 4 4 4 7 7 7 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 2 2 7 4 4 4 4 4 7 5 5 5 5 5 7 9 9 9 9 9 7 7 2 2 7 7 2 7 4 7 7 7 4 7 5 7 5 7 5 7 9 7 9 7 9 7 7 2 7 2 2 2 7 4 7 4 4 4 7 5 5 5 7 5 7 9 7 9 9 9 7 7 2 2 7 7 2 7 4 7 7 7 4 7 5 7 7 7 5 7 9 7 9 7 9 7 7 2 2 2 2 2 7 4 4 4 4 4 7 5 5 5 5 5 7 9 9 9 9 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 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 9 9 9 9 9 7 0 0 0 0 0 7 5 5 5 5 5 7 9 9 9 9 9 7 7 9 7 9 7 9 7 0 7 7 7 0 7 5 7 5 7 5 7 9 7 9 7 9 7 7 9 7 9 9 9 7 0 7 0 7 0 7 5 5 5 7 5 7 9 7 9 9 9 7 7 9 7 9 7 9 7 0 7 7 7 0 7 5 7 7 7 5 7 9 7 9 7 9 7 7 9 9 9 9 9 7 0 0 0 0 0 7 5 5 5 5 5 7 9 9 9 9 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 1 1 1 1 1 7 9 9 9 9 9 7 6 6 6 6 6 7 4 4 4 4 4 7 7 1 7 7 7 1 7 9 7 9 7 9 7 6 7 6 7 6 7 4 7 7 7 4 7 7 1 7 7 7 1 7 9 7 9 9 9 7 6 7 6 7 6 7 4 7 4 4 4 7 7 1 7 7 7 1 7 9 7 9 7 9 7 6 7 6 7 6 7 4 7 7 7 4 7 7 1 1 1 1 1 7 9 9 9 9 9 7 6 6 6 6 6 7 4 4 4 4 4 7 7 7 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 2 2 7 4 4 4 4 4 7 5 5 5 5 5 7 9 9 9 9 9 7 7 2 2 7 7 2 7 4 7 7 7 4 7 5 7 5 7 5 7 9 7 9 7 9 7 7 2 7 2 2 2 7 4 7 4 4 4 7 5 5 5 7 5 7 9 7 9 9 9 7 7 2 2 7 7 2 7 4 7 7 7 4 7 5 7 7 7 5 7 9 7 9 7 9 7 7 2 2 2 2 2 7 4 4 4 4 4 7 5 5 5 5 5 7 9 9 9 9 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 Example 3: Input: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 9 9 9 9 7 2 2 2 2 2 7 5 5 5 5 5 7 7 9 7 7 7 9 7 2 7 7 7 2 7 5 7 7 7 5 7 7 9 7 7 7 9 7 2 7 7 7 2 7 5 7 5 7 5 7 7 9 7 7 7 9 7 2 7 7 7 2 7 5 7 7 7 5 7 7 9 9 9 9 9 7 2 2 2 2 2 7 5 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 2 2 2 2 2 7 6 6 6 6 6 7 0 0 0 0 0 7 7 2 7 7 7 2 7 6 7 6 7 6 7 0 7 7 7 0 7 7 2 7 7 7 2 7 6 6 6 7 6 7 0 7 7 7 0 7 7 2 7 7 7 2 7 6 7 7 7 6 7 0 7 7 7 0 7 7 2 2 2 2 2 7 6 6 6 6 6 7 0 0 0 0 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 9 9 9 9 7 5 5 5 5 5 7 9 9 9 9 9 7 7 9 7 7 7 9 7 5 7 7 7 5 7 9 7 7 7 9 7 7 9 7 7 7 9 7 5 7 7 7 5 7 9 7 9 9 9 7 7 9 7 7 7 9 7 5 7 7 7 5 7 9 7 9 7 9 7 7 9 9 9 9 9 7 5 5 5 5 5 7 9 9 9 9 9 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 9 9 9 9 7 2 2 2 2 2 7 5 5 5 5 5 7 7 9 7 7 7 9 7 2 7 7 7 2 7 5 7 7 7 5 7 7 9 7 9 9 9 7 2 7 7 7 2 7 5 7 5 7 5 7 7 9 7 9 7 9 7 2 7 7 7 2 7 5 7 7 7 5 7 7 9 9 9 9 9 7 2 2 2 2 2 7 5 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 2 2 2 2 2 7 6 6 6 6 6 7 0 0 0 0 0 7 7 2 7 7 7 2 7 6 7 6 7 6 7 0 7 7 7 0 7 7 2 7 7 7 2 7 6 6 6 7 6 7 0 7 7 7 0 7 7 2 7 7 7 2 7 6 7 7 7 6 7 0 7 7 7 0 7 7 2 2 2 2 2 7 6 6 6 6 6 7 0 0 0 0 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 9 9 9 9 7 5 5 5 5 5 7 9 9 9 9 9 7 7 9 7 7 7 9 7 5 7 7 7 5 7 9 7 7 7 9 7 7 9 7 9 9 9 7 5 7 5 7 5 7 9 7 9 9 9 7 7 9 7 9 7 9 7 5 7 7 7 5 7 9 7 9 7 9 7 7 9 9 9 9 9 7 5 5 5 5 5 7 9 9 9 9 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Example 4: Input: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 3 3 3 3 7 0 0 0 0 0 7 7 3 7 7 7 3 7 0 7 0 7 0 7 7 3 7 7 7 3 7 0 0 0 0 0 7 7 3 7 7 7 3 7 0 7 0 7 0 7 7 3 3 3 3 3 7 0 0 0 0 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 9 9 9 9 7 5 5 5 5 5 7 7 9 7 7 7 9 7 5 7 7 7 5 7 7 9 7 7 7 9 7 5 7 7 7 5 7 7 9 7 7 7 9 7 5 7 7 7 5 7 7 9 9 9 9 9 7 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 0 0 0 0 7 6 6 6 6 6 7 7 0 7 7 7 0 7 6 7 7 7 6 7 7 0 7 7 7 0 7 6 7 7 7 6 7 7 0 7 7 7 0 7 6 7 7 7 6 7 7 0 0 0 0 0 7 6 6 6 6 6 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 3 3 3 3 3 7 0 0 0 0 0 7 7 3 7 7 7 3 7 0 7 0 7 0 7 7 3 7 7 7 3 7 0 0 0 0 0 7 7 3 7 7 7 3 7 0 7 0 7 0 7 7 3 3 3 3 3 7 0 0 0 0 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 9 9 9 9 7 5 5 5 5 5 7 7 9 7 7 7 9 7 5 7 7 7 5 7 7 9 7 7 7 9 7 5 7 7 7 5 7 7 9 7 7 7 9 7 5 7 7 7 5 7 7 9 9 9 9 9 7 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 0 0 0 0 7 6 6 6 6 6 7 7 0 7 0 7 0 7 6 7 7 7 6 7 7 0 0 0 0 0 7 6 7 7 7 6 7 7 0 7 0 7 0 7 6 7 7 7 6 7 7 0 0 0 0 0 7 6 6 6 6 6 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 4 4 4 4 4 7 9 9 9 9 9 7 9 9 9 9 9 7 3 3 3 3 3 7 7 4 7 7 7 4 7 9 7 7 7 9 7 9 7 7 7 9 7 3 7 7 7 3 7 7 4 7 7 7 4 7 9 7 7 7 9 7 9 7 7 7 9 7 3 3 3 3 3 7 7 4 7 7 7 4 7 9 7 7 7 9 7 9 7 7 7 9 7 3 7 7 7 3 7 7 4 4 4 4 4 7 9 9 9 9 9 7 9 9 9 9 9 7 3 3 3 3 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 9 9 9 9 9 7 6 6 6 6 6 7 2 2 2 2 2 7 6 6 6 6 6 7 7 9 7 7 7 9 7 6 7 7 7 6 7 2 7 7 7 2 7 6 7 7 6 6 7 7 9 7 7 7 9 7 6 7 7 7 6 7 2 7 7 7 2 7 6 7 6 7 6 7 7 9 7 7 7 9 7 6 7 7 7 6 7 2 7 7 7 2 7 6 6 7 7 6 7 7 9 9 9 9 9 7 6 6 6 6 6 7 2 2 2 2 2 7 6 6 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 5 5 5 5 5 7 0 0 0 0 0 7 9 9 9 9 9 7 5 5 5 5 5 7 7 5 7 7 7 5 7 0 7 7 7 0 7 9 7 7 7 9 7 5 7 7 7 5 7 7 5 7 7 7 5 7 0 7 7 7 0 7 9 9 9 9 9 7 5 5 5 7 5 7 7 5 7 7 7 5 7 0 7 7 7 0 7 9 7 9 7 9 7 5 7 5 7 5 7 7 5 5 5 5 5 7 0 0 0 0 0 7 9 9 9 9 9 7 5 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 9 9 9 9 9 7 5 5 5 5 5 7 4 4 4 4 4 7 2 2 2 2 2 7 7 9 7 7 7 9 7 5 7 7 7 5 7 4 7 4 7 4 7 2 7 7 7 2 7 7 9 7 7 7 9 7 5 7 7 7 5 7 4 7 4 4 4 7 2 7 7 7 2 7 7 9 7 7 7 9 7 5 7 7 7 5 7 4 7 7 7 4 7 2 7 7 7 2 7 7 9 9 9 9 9 7 5 5 5 5 5 7 4 4 4 4 4 7 2 2 2 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
{"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 7 7 7\n7 4 4 4 4 4 7 9 9 9 9 9 7 9 9 9 9 9 7 3 3 3 3 3 7\n7 4 7 4 7 4 7 9 7 7 7 9 7 9 7 7 7 9 7 3 7 7 7 3 7\n7 4 7 4 4 4 7 9 9 9 9 9 7 9 9 9 9 9 7 3 3 3 3 3 7\n7 4 7 7 7 4 7 9 7 9 7 9 7 9 7 9 7 9 7 3 7 7 7 3 7\n7 4 4 4 4 4 7 9 9 9 9 9 7 9 9 9 9 9 7 3 3 3 3 3 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 9 9 9 9 9 7 6 6 6 6 6 7 2 2 2 2 2 7 6 6 6 6 6 7\n7 9 7 7 7 9 7 6 7 7 6 6 7 2 7 7 7 2 7 6 7 7 6 6 7\n7 9 9 9 9 9 7 6 7 6 7 6 7 2 7 7 7 2 7 6 7 6 7 6 7\n7 9 7 9 7 9 7 6 6 7 7 6 7 2 7 7 7 2 7 6 6 7 7 6 7\n7 9 9 9 9 9 7 6 6 6 6 6 7 2 2 2 2 2 7 6 6 6 6 6 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 5 5 5 5 5 7 0 0 0 0 0 7 9 9 9 9 9 7 5 5 5 5 5 7\n7 5 7 7 7 5 7 0 7 7 7 0 7 9 7 7 7 9 7 5 7 7 7 5 7\n7 5 5 5 7 5 7 0 7 7 7 0 7 9 9 9 9 9 7 5 5 5 7 5 7\n7 5 7 5 7 5 7 0 7 7 7 0 7 9 7 9 7 9 7 5 7 5 7 5 7\n7 5 5 5 5 5 7 0 0 0 0 0 7 9 9 9 9 9 7 5 5 5 5 5 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 9 9 9 9 9 7 5 5 5 5 5 7 4 4 4 4 4 7 2 2 2 2 2 7\n7 9 7 7 7 9 7 5 7 7 7 5 7 4 7 4 7 4 7 2 7 7 7 2 7\n7 9 9 9 9 9 7 5 5 5 7 5 7 4 7 4 4 4 7 2 7 7 7 2 7\n7 9 7 9 7 9 7 5 7 5 7 5 7 4 7 7 7 4 7 2 7 7 7 2 7\n7 9 9 9 9 9 7 5 5 5 5 5 7 4 4 4 4 4 7 2 2 2 2 2 7\n7 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_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 2 2 2 2 2 7 2 2 2 2 2 7 9 9 9 9 9 7\n7 2 7 7 7 2 7 2 7 7 7 2 7 9 7 7 7 9 7\n7 2 7 7 7 2 7 2 7 2 2 2 7 9 7 7 7 9 7\n7 2 7 7 7 2 7 2 7 2 7 2 7 9 7 7 7 9 7\n7 2 2 2 2 2 7 2 2 2 2 2 7 9 9 9 9 9 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 9 9 9 9 9 7 5 5 5 5 5 7 6 6 6 6 6 7\n7 9 7 9 7 9 7 5 7 5 7 5 7 6 7 7 7 6 7\n7 9 9 9 9 9 7 5 7 5 7 5 7 6 7 6 7 6 7\n7 9 7 9 7 9 7 5 7 5 7 5 7 6 7 7 7 6 7\n7 9 9 9 9 9 7 5 5 5 5 5 7 6 6 6 6 6 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 5 5 5 5 5 7 9 9 9 9 9 7 6 6 6 6 6 7\n7 5 7 7 7 5 7 9 7 7 7 9 7 6 7 7 7 6 7\n7 5 7 7 7 5 7 9 7 7 7 9 7 6 7 7 7 6 7\n7 5 7 7 7 5 7 9 7 7 7 9 7 6 7 7 7 6 7\n7 5 5 5 5 5 7 9 9 9 9 9 7 6 6 6 6 6 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 2 2 2 2 2 7 2 2 2 2 2 7 9 9 9 9 9 7\n7 2 7 7 7 2 7 2 7 7 7 2 7 9 7 9 7 9 7\n7 2 7 2 2 2 7 2 7 2 2 2 7 9 9 9 9 9 7\n7 2 7 2 7 2 7 2 7 2 7 2 7 9 7 9 7 9 7\n7 2 2 2 2 2 7 2 2 2 2 2 7 9 9 9 9 9 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 9 9 9 9 9 7 5 5 5 5 5 7 6 6 6 6 6 7\n7 9 7 9 7 9 7 5 7 5 7 5 7 6 7 7 7 6 7\n7 9 9 9 9 9 7 5 7 5 7 5 7 6 7 6 7 6 7\n7 9 7 9 7 9 7 5 7 5 7 5 7 6 7 7 7 6 7\n7 9 9 9 9 9 7 5 5 5 5 5 7 6 6 6 6 6 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 5 5 5 5 5 7 9 9 9 9 9 7 6 6 6 6 6 7\n7 5 7 5 7 5 7 9 7 9 7 9 7 6 7 7 7 6 7\n7 5 7 5 7 5 7 9 9 9 9 9 7 6 7 6 7 6 7\n7 5 7 5 7 5 7 9 7 9 7 9 7 6 7 7 7 6 7\n7 5 5 5 5 5 7 9 9 9 9 9 7 6 6 6 6 6 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 7 7 7 7 7 7\n7 9 9 9 9 9 7 0 0 0 0 0 7 5 5 5 5 5 7 9 9 9 9 9 7\n7 9 7 7 7 9 7 0 7 7 7 0 7 5 7 7 7 5 7 9 7 7 7 9 7\n7 9 7 7 7 9 7 0 7 0 7 0 7 5 7 7 7 5 7 9 7 7 7 9 7\n7 9 7 7 7 9 7 0 7 7 7 0 7 5 7 7 7 5 7 9 7 7 7 9 7\n7 9 9 9 9 9 7 0 0 0 0 0 7 5 5 5 5 5 7 9 9 9 9 9 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 1 1 1 1 1 7 9 9 9 9 9 7 6 6 6 6 6 7 4 4 4 4 4 7\n7 1 7 7 7 1 7 9 7 7 7 9 7 6 7 6 7 6 7 4 7 7 7 4 7\n7 1 7 7 7 1 7 9 7 7 7 9 7 6 7 6 7 6 7 4 7 7 7 4 7\n7 1 7 7 7 1 7 9 7 7 7 9 7 6 7 6 7 6 7 4 7 7 7 4 7\n7 1 1 1 1 1 7 9 9 9 9 9 7 6 6 6 6 6 7 4 4 4 4 4 7\n7 7 7 7 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 2 2 7 4 4 4 4 4 7 5 5 5 5 5 7 9 9 9 9 9 7\n7 2 2 7 7 2 7 4 7 7 7 4 7 5 7 5 7 5 7 9 7 9 7 9 7\n7 2 7 2 2 2 7 4 7 4 4 4 7 5 5 5 7 5 7 9 7 9 9 9 7\n7 2 2 7 7 2 7 4 7 7 7 4 7 5 7 7 7 5 7 9 7 9 7 9 7\n7 2 2 2 2 2 7 4 4 4 4 4 7 5 5 5 5 5 7 9 9 9 9 9 7\n7 7 7 7 7 7 7 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 7 7 7 7 7 7\n7 9 9 9 9 9 7 0 0 0 0 0 7 5 5 5 5 5 7 9 9 9 9 9 7\n7 9 7 9 7 9 7 0 7 7 7 0 7 5 7 5 7 5 7 9 7 9 7 9 7\n7 9 7 9 9 9 7 0 7 0 7 0 7 5 5 5 7 5 7 9 7 9 9 9 7\n7 9 7 9 7 9 7 0 7 7 7 0 7 5 7 7 7 5 7 9 7 9 7 9 7\n7 9 9 9 9 9 7 0 0 0 0 0 7 5 5 5 5 5 7 9 9 9 9 9 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 1 1 1 1 1 7 9 9 9 9 9 7 6 6 6 6 6 7 4 4 4 4 4 7\n7 1 7 7 7 1 7 9 7 9 7 9 7 6 7 6 7 6 7 4 7 7 7 4 7\n7 1 7 7 7 1 7 9 7 9 9 9 7 6 7 6 7 6 7 4 7 4 4 4 7\n7 1 7 7 7 1 7 9 7 9 7 9 7 6 7 6 7 6 7 4 7 7 7 4 7\n7 1 1 1 1 1 7 9 9 9 9 9 7 6 6 6 6 6 7 4 4 4 4 4 7\n7 7 7 7 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 2 2 7 4 4 4 4 4 7 5 5 5 5 5 7 9 9 9 9 9 7\n7 2 2 7 7 2 7 4 7 7 7 4 7 5 7 5 7 5 7 9 7 9 7 9 7\n7 2 7 2 2 2 7 4 7 4 4 4 7 5 5 5 7 5 7 9 7 9 9 9 7\n7 2 2 7 7 2 7 4 7 7 7 4 7 5 7 7 7 5 7 9 7 9 7 9 7\n7 2 2 2 2 2 7 4 4 4 4 4 7 5 5 5 5 5 7 9 9 9 9 9 7\n7 7 7 7 7 7 7 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 9 9 9 9 9 7 2 2 2 2 2 7 5 5 5 5 5 7\n7 9 7 7 7 9 7 2 7 7 7 2 7 5 7 7 7 5 7\n7 9 7 7 7 9 7 2 7 7 7 2 7 5 7 5 7 5 7\n7 9 7 7 7 9 7 2 7 7 7 2 7 5 7 7 7 5 7\n7 9 9 9 9 9 7 2 2 2 2 2 7 5 5 5 5 5 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 2 2 2 2 2 7 6 6 6 6 6 7 0 0 0 0 0 7\n7 2 7 7 7 2 7 6 7 6 7 6 7 0 7 7 7 0 7\n7 2 7 7 7 2 7 6 6 6 7 6 7 0 7 7 7 0 7\n7 2 7 7 7 2 7 6 7 7 7 6 7 0 7 7 7 0 7\n7 2 2 2 2 2 7 6 6 6 6 6 7 0 0 0 0 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 9 9 9 9 9 7 5 5 5 5 5 7 9 9 9 9 9 7\n7 9 7 7 7 9 7 5 7 7 7 5 7 9 7 7 7 9 7\n7 9 7 7 7 9 7 5 7 7 7 5 7 9 7 9 9 9 7\n7 9 7 7 7 9 7 5 7 7 7 5 7 9 7 9 7 9 7\n7 9 9 9 9 9 7 5 5 5 5 5 7 9 9 9 9 9 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 9 9 9 9 7 2 2 2 2 2 7 5 5 5 5 5 7\n7 9 7 7 7 9 7 2 7 7 7 2 7 5 7 7 7 5 7\n7 9 7 9 9 9 7 2 7 7 7 2 7 5 7 5 7 5 7\n7 9 7 9 7 9 7 2 7 7 7 2 7 5 7 7 7 5 7\n7 9 9 9 9 9 7 2 2 2 2 2 7 5 5 5 5 5 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 2 2 2 2 2 7 6 6 6 6 6 7 0 0 0 0 0 7\n7 2 7 7 7 2 7 6 7 6 7 6 7 0 7 7 7 0 7\n7 2 7 7 7 2 7 6 6 6 7 6 7 0 7 7 7 0 7\n7 2 7 7 7 2 7 6 7 7 7 6 7 0 7 7 7 0 7\n7 2 2 2 2 2 7 6 6 6 6 6 7 0 0 0 0 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 9 9 9 9 9 7 5 5 5 5 5 7 9 9 9 9 9 7\n7 9 7 7 7 9 7 5 7 7 7 5 7 9 7 7 7 9 7\n7 9 7 9 9 9 7 5 7 5 7 5 7 9 7 9 9 9 7\n7 9 7 9 7 9 7 5 7 7 7 5 7 9 7 9 7 9 7\n7 9 9 9 9 9 7 5 5 5 5 5 7 9 9 9 9 9 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n\nExample 4:\n\nInput:\n7 7 7 7 7 7 7 7 7 7 7 7 7\n7 3 3 3 3 3 7 0 0 0 0 0 7\n7 3 7 7 7 3 7 0 7 0 7 0 7\n7 3 7 7 7 3 7 0 0 0 0 0 7\n7 3 7 7 7 3 7 0 7 0 7 0 7\n7 3 3 3 3 3 7 0 0 0 0 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7\n7 9 9 9 9 9 7 5 5 5 5 5 7\n7 9 7 7 7 9 7 5 7 7 7 5 7\n7 9 7 7 7 9 7 5 7 7 7 5 7\n7 9 7 7 7 9 7 5 7 7 7 5 7\n7 9 9 9 9 9 7 5 5 5 5 5 7\n7 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 0 0 0 0 7 6 6 6 6 6 7\n7 0 7 7 7 0 7 6 7 7 7 6 7\n7 0 7 7 7 0 7 6 7 7 7 6 7\n7 0 7 7 7 0 7 6 7 7 7 6 7\n7 0 0 0 0 0 7 6 6 6 6 6 7\n7 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\n7 3 3 3 3 3 7 0 0 0 0 0 7\n7 3 7 7 7 3 7 0 7 0 7 0 7\n7 3 7 7 7 3 7 0 0 0 0 0 7\n7 3 7 7 7 3 7 0 7 0 7 0 7\n7 3 3 3 3 3 7 0 0 0 0 0 7\n7 7 7 7 7 7 7 7 7 7 7 7 7\n7 9 9 9 9 9 7 5 5 5 5 5 7\n7 9 7 7 7 9 7 5 7 7 7 5 7\n7 9 7 7 7 9 7 5 7 7 7 5 7\n7 9 7 7 7 9 7 5 7 7 7 5 7\n7 9 9 9 9 9 7 5 5 5 5 5 7\n7 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 0 0 0 0 7 6 6 6 6 6 7\n7 0 7 0 7 0 7 6 7 7 7 6 7\n7 0 0 0 0 0 7 6 7 7 7 6 7\n7 0 7 0 7 0 7 6 7 7 7 6 7\n7 0 0 0 0 0 7 6 6 6 6 6 7\n7 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 7 7 7 7 7 7\n7 4 4 4 4 4 7 9 9 9 9 9 7 9 9 9 9 9 7 3 3 3 3 3 7\n7 4 7 7 7 4 7 9 7 7 7 9 7 9 7 7 7 9 7 3 7 7 7 3 7\n7 4 7 7 7 4 7 9 7 7 7 9 7 9 7 7 7 9 7 3 3 3 3 3 7\n7 4 7 7 7 4 7 9 7 7 7 9 7 9 7 7 7 9 7 3 7 7 7 3 7\n7 4 4 4 4 4 7 9 9 9 9 9 7 9 9 9 9 9 7 3 3 3 3 3 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 9 9 9 9 9 7 6 6 6 6 6 7 2 2 2 2 2 7 6 6 6 6 6 7\n7 9 7 7 7 9 7 6 7 7 7 6 7 2 7 7 7 2 7 6 7 7 6 6 7\n7 9 7 7 7 9 7 6 7 7 7 6 7 2 7 7 7 2 7 6 7 6 7 6 7\n7 9 7 7 7 9 7 6 7 7 7 6 7 2 7 7 7 2 7 6 6 7 7 6 7\n7 9 9 9 9 9 7 6 6 6 6 6 7 2 2 2 2 2 7 6 6 6 6 6 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 5 5 5 5 5 7 0 0 0 0 0 7 9 9 9 9 9 7 5 5 5 5 5 7\n7 5 7 7 7 5 7 0 7 7 7 0 7 9 7 7 7 9 7 5 7 7 7 5 7\n7 5 7 7 7 5 7 0 7 7 7 0 7 9 9 9 9 9 7 5 5 5 7 5 7\n7 5 7 7 7 5 7 0 7 7 7 0 7 9 7 9 7 9 7 5 7 5 7 5 7\n7 5 5 5 5 5 7 0 0 0 0 0 7 9 9 9 9 9 7 5 5 5 5 5 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 9 9 9 9 9 7 5 5 5 5 5 7 4 4 4 4 4 7 2 2 2 2 2 7\n7 9 7 7 7 9 7 5 7 7 7 5 7 4 7 4 7 4 7 2 7 7 7 2 7\n7 9 7 7 7 9 7 5 7 7 7 5 7 4 7 4 4 4 7 2 7 7 7 2 7\n7 9 7 7 7 9 7 5 7 7 7 5 7 4 7 7 7 4 7 2 7 7 7 2 7\n7 9 9 9 9 9 7 5 5 5 5 5 7 4 4 4 4 4 7 2 2 2 2 2 7\n7 7 7 7 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 7 7 7\n7 4 4 4 4 4 7 9 9 9 9 9 7 9 9 9 9 9 7 3 3 3 3 3 7\n7 4 7 4 7 4 7 9 7 7 7 9 7 9 7 7 7 9 7 3 7 7 7 3 7\n7 4 7 4 4 4 7 9 9 9 9 9 7 9 9 9 9 9 7 3 3 3 3 3 7\n7 4 7 7 7 4 7 9 7 9 7 9 7 9 7 9 7 9 7 3 7 7 7 3 7\n7 4 4 4 4 4 7 9 9 9 9 9 7 9 9 9 9 9 7 3 3 3 3 3 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 9 9 9 9 9 7 6 6 6 6 6 7 2 2 2 2 2 7 6 6 6 6 6 7\n7 9 7 7 7 9 7 6 7 7 6 6 7 2 7 7 7 2 7 6 7 7 6 6 7\n7 9 9 9 9 9 7 6 7 6 7 6 7 2 7 7 7 2 7 6 7 6 7 6 7\n7 9 7 9 7 9 7 6 6 7 7 6 7 2 7 7 7 2 7 6 6 7 7 6 7\n7 9 9 9 9 9 7 6 6 6 6 6 7 2 2 2 2 2 7 6 6 6 6 6 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 5 5 5 5 5 7 0 0 0 0 0 7 9 9 9 9 9 7 5 5 5 5 5 7\n7 5 7 7 7 5 7 0 7 7 7 0 7 9 7 7 7 9 7 5 7 7 7 5 7\n7 5 5 5 7 5 7 0 7 7 7 0 7 9 9 9 9 9 7 5 5 5 7 5 7\n7 5 7 5 7 5 7 0 7 7 7 0 7 9 7 9 7 9 7 5 7 5 7 5 7\n7 5 5 5 5 5 7 0 0 0 0 0 7 9 9 9 9 9 7 5 5 5 5 5 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 9 9 9 9 9 7 5 5 5 5 5 7 4 4 4 4 4 7 2 2 2 2 2 7\n7 9 7 7 7 9 7 5 7 7 7 5 7 4 7 4 7 4 7 2 7 7 7 2 7\n7 9 9 9 9 9 7 5 5 5 7 5 7 4 7 4 4 4 7 2 7 7 7 2 7\n7 9 7 9 7 9 7 5 7 5 7 5 7 4 7 7 7 4 7 2 7 7 7 2 7\n7 9 9 9 9 9 7 5 5 5 5 5 7 4 4 4 4 4 7 2 2 2 2 2 7\n7 7 7 7 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": 187, "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, 4, 4, 4, 4, 4, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 3, 3, 3, 3, 3, 7], [7, 4, 7, 7, 7, 4, 7, 9, 7, 7, 7, 9, 7, 9, 7, 7, 7, 9, 7, 3, 7, 7, 7, 3, 7], [7, 4, 7, 7, 7, 4, 7, 9, 7, 7, 7, 9, 7, 9, 7, 7, 7, 9, 7, 3, 3, 3, 3, 3, 7], [7, 4, 7, 7, 7, 4, 7, 9, 7, 7, 7, 9, 7, 9, 7, 7, 7, 9, 7, 3, 7, 7, 7, 3, 7], [7, 4, 4, 4, 4, 4, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 3, 3, 3, 3, 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, 9, 9, 9, 9, 9, 7, 6, 6, 6, 6, 6, 7, 2, 2, 2, 2, 2, 7, 6, 6, 6, 6, 6, 7], [7, 9, 7, 7, 7, 9, 7, 6, 7, 7, 7, 6, 7, 2, 7, 7, 7, 2, 7, 6, 7, 7, 6, 6, 7], [7, 9, 7, 7, 7, 9, 7, 6, 7, 7, 7, 6, 7, 2, 7, 7, 7, 2, 7, 6, 7, 6, 7, 6, 7], [7, 9, 7, 7, 7, 9, 7, 6, 7, 7, 7, 6, 7, 2, 7, 7, 7, 2, 7, 6, 6, 7, 7, 6, 7], [7, 9, 9, 9, 9, 9, 7, 6, 6, 6, 6, 6, 7, 2, 2, 2, 2, 2, 7, 6, 6, 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, 5, 5, 5, 5, 5, 7, 0, 0, 0, 0, 0, 7, 9, 9, 9, 9, 9, 7, 5, 5, 5, 5, 5, 7], [7, 5, 7, 7, 7, 5, 7, 0, 7, 7, 7, 0, 7, 9, 7, 7, 7, 9, 7, 5, 7, 7, 7, 5, 7], [7, 5, 7, 7, 7, 5, 7, 0, 7, 7, 7, 0, 7, 9, 9, 9, 9, 9, 7, 5, 5, 5, 7, 5, 7], [7, 5, 7, 7, 7, 5, 7, 0, 7, 7, 7, 0, 7, 9, 7, 9, 7, 9, 7, 5, 7, 5, 7, 5, 7], [7, 5, 5, 5, 5, 5, 7, 0, 0, 0, 0, 0, 7, 9, 9, 9, 9, 9, 7, 5, 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, 9, 9, 9, 9, 9, 7, 5, 5, 5, 5, 5, 7, 4, 4, 4, 4, 4, 7, 2, 2, 2, 2, 2, 7], [7, 9, 7, 7, 7, 9, 7, 5, 7, 7, 7, 5, 7, 4, 7, 4, 7, 4, 7, 2, 7, 7, 7, 2, 7], [7, 9, 7, 7, 7, 9, 7, 5, 7, 7, 7, 5, 7, 4, 7, 4, 4, 4, 7, 2, 7, 7, 7, 2, 7], [7, 9, 7, 7, 7, 9, 7, 5, 7, 7, 7, 5, 7, 4, 7, 7, 7, 4, 7, 2, 7, 7, 7, 2, 7], [7, 9, 9, 9, 9, 9, 7, 5, 5, 5, 5, 5, 7, 4, 4, 4, 4, 4, 7, 2, 2, 2, 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]], "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, 4, 4, 4, 4, 4, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 3, 3, 3, 3, 3, 7], [7, 4, 7, 4, 7, 4, 7, 9, 7, 7, 7, 9, 7, 9, 7, 7, 7, 9, 7, 3, 7, 7, 7, 3, 7], [7, 4, 7, 4, 4, 4, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 3, 3, 3, 3, 3, 7], [7, 4, 7, 7, 7, 4, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 3, 7, 7, 7, 3, 7], [7, 4, 4, 4, 4, 4, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 3, 3, 3, 3, 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, 9, 9, 9, 9, 9, 7, 6, 6, 6, 6, 6, 7, 2, 2, 2, 2, 2, 7, 6, 6, 6, 6, 6, 7], [7, 9, 7, 7, 7, 9, 7, 6, 7, 7, 6, 6, 7, 2, 7, 7, 7, 2, 7, 6, 7, 7, 6, 6, 7], [7, 9, 9, 9, 9, 9, 7, 6, 7, 6, 7, 6, 7, 2, 7, 7, 7, 2, 7, 6, 7, 6, 7, 6, 7], [7, 9, 7, 9, 7, 9, 7, 6, 6, 7, 7, 6, 7, 2, 7, 7, 7, 2, 7, 6, 6, 7, 7, 6, 7], [7, 9, 9, 9, 9, 9, 7, 6, 6, 6, 6, 6, 7, 2, 2, 2, 2, 2, 7, 6, 6, 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, 5, 5, 5, 5, 5, 7, 0, 0, 0, 0, 0, 7, 9, 9, 9, 9, 9, 7, 5, 5, 5, 5, 5, 7], [7, 5, 7, 7, 7, 5, 7, 0, 7, 7, 7, 0, 7, 9, 7, 7, 7, 9, 7, 5, 7, 7, 7, 5, 7], [7, 5, 5, 5, 7, 5, 7, 0, 7, 7, 7, 0, 7, 9, 9, 9, 9, 9, 7, 5, 5, 5, 7, 5, 7], [7, 5, 7, 5, 7, 5, 7, 0, 7, 7, 7, 0, 7, 9, 7, 9, 7, 9, 7, 5, 7, 5, 7, 5, 7], [7, 5, 5, 5, 5, 5, 7, 0, 0, 0, 0, 0, 7, 9, 9, 9, 9, 9, 7, 5, 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, 9, 9, 9, 9, 9, 7, 5, 5, 5, 5, 5, 7, 4, 4, 4, 4, 4, 7, 2, 2, 2, 2, 2, 7], [7, 9, 7, 7, 7, 9, 7, 5, 7, 7, 7, 5, 7, 4, 7, 4, 7, 4, 7, 2, 7, 7, 7, 2, 7], [7, 9, 9, 9, 9, 9, 7, 5, 5, 5, 7, 5, 7, 4, 7, 4, 4, 4, 7, 2, 7, 7, 7, 2, 7], [7, 9, 7, 9, 7, 9, 7, 5, 7, 5, 7, 5, 7, 4, 7, 7, 7, 4, 7, 2, 7, 7, 7, 2, 7], [7, 9, 9, 9, 9, 9, 7, 5, 5, 5, 5, 5, 7, 4, 4, 4, 4, 4, 7, 2, 2, 2, 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]], "task_id": "42918530", "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": 187, "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, 4, 4, 4, 4, 4, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 3, 3, 3, 3, 3, 7], [7, 4, 7, 7, 7, 4, 7, 9, 7, 7, 7, 9, 7, 9, 7, 7, 7, 9, 7, 3, 7, 7, 7, 3, 7], [7, 4, 7, 7, 7, 4, 7, 9, 7, 7, 7, 9, 7, 9, 7, 7, 7, 9, 7, 3, 3, 3, 3, 3, 7], [7, 4, 7, 7, 7, 4, 7, 9, 7, 7, 7, 9, 7, 9, 7, 7, 7, 9, 7, 3, 7, 7, 7, 3, 7], [7, 4, 4, 4, 4, 4, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 3, 3, 3, 3, 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, 9, 9, 9, 9, 9, 7, 6, 6, 6, 6, 6, 7, 2, 2, 2, 2, 2, 7, 6, 6, 6, 6, 6, 7], [7, 9, 7, 7, 7, 9, 7, 6, 7, 7, 7, 6, 7, 2, 7, 7, 7, 2, 7, 6, 7, 7, 6, 6, 7], [7, 9, 7, 7, 7, 9, 7, 6, 7, 7, 7, 6, 7, 2, 7, 7, 7, 2, 7, 6, 7, 6, 7, 6, 7], [7, 9, 7, 7, 7, 9, 7, 6, 7, 7, 7, 6, 7, 2, 7, 7, 7, 2, 7, 6, 6, 7, 7, 6, 7], [7, 9, 9, 9, 9, 9, 7, 6, 6, 6, 6, 6, 7, 2, 2, 2, 2, 2, 7, 6, 6, 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, 5, 5, 5, 5, 5, 7, 0, 0, 0, 0, 0, 7, 9, 9, 9, 9, 9, 7, 5, 5, 5, 5, 5, 7], [7, 5, 7, 7, 7, 5, 7, 0, 7, 7, 7, 0, 7, 9, 7, 7, 7, 9, 7, 5, 7, 7, 7, 5, 7], [7, 5, 7, 7, 7, 5, 7, 0, 7, 7, 7, 0, 7, 9, 9, 9, 9, 9, 7, 5, 5, 5, 7, 5, 7], [7, 5, 7, 7, 7, 5, 7, 0, 7, 7, 7, 0, 7, 9, 7, 9, 7, 9, 7, 5, 7, 5, 7, 5, 7], [7, 5, 5, 5, 5, 5, 7, 0, 0, 0, 0, 0, 7, 9, 9, 9, 9, 9, 7, 5, 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, 9, 9, 9, 9, 9, 7, 5, 5, 5, 5, 5, 7, 4, 4, 4, 4, 4, 7, 2, 2, 2, 2, 2, 7], [7, 9, 7, 7, 7, 9, 7, 5, 7, 7, 7, 5, 7, 4, 7, 4, 7, 4, 7, 2, 7, 7, 7, 2, 7], [7, 9, 7, 7, 7, 9, 7, 5, 7, 7, 7, 5, 7, 4, 7, 4, 4, 4, 7, 2, 7, 7, 7, 2, 7], [7, 9, 7, 7, 7, 9, 7, 5, 7, 7, 7, 5, 7, 4, 7, 7, 7, 4, 7, 2, 7, 7, 7, 2, 7], [7, 9, 9, 9, 9, 9, 7, 5, 5, 5, 5, 5, 7, 4, 4, 4, 4, 4, 7, 2, 2, 2, 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]], "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, 4, 4, 4, 4, 4, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 3, 3, 3, 3, 3, 7], [7, 4, 7, 4, 7, 4, 7, 9, 7, 7, 7, 9, 7, 9, 7, 7, 7, 9, 7, 3, 7, 7, 7, 3, 7], [7, 4, 7, 4, 4, 4, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 3, 3, 3, 3, 3, 7], [7, 4, 7, 7, 7, 4, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 9, 7, 3, 7, 7, 7, 3, 7], [7, 4, 4, 4, 4, 4, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 3, 3, 3, 3, 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, 9, 9, 9, 9, 9, 7, 6, 6, 6, 6, 6, 7, 2, 2, 2, 2, 2, 7, 6, 6, 6, 6, 6, 7], [7, 9, 7, 7, 7, 9, 7, 6, 7, 7, 6, 6, 7, 2, 7, 7, 7, 2, 7, 6, 7, 7, 6, 6, 7], [7, 9, 9, 9, 9, 9, 7, 6, 7, 6, 7, 6, 7, 2, 7, 7, 7, 2, 7, 6, 7, 6, 7, 6, 7], [7, 9, 7, 9, 7, 9, 7, 6, 6, 7, 7, 6, 7, 2, 7, 7, 7, 2, 7, 6, 6, 7, 7, 6, 7], [7, 9, 9, 9, 9, 9, 7, 6, 6, 6, 6, 6, 7, 2, 2, 2, 2, 2, 7, 6, 6, 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, 5, 5, 5, 5, 5, 7, 0, 0, 0, 0, 0, 7, 9, 9, 9, 9, 9, 7, 5, 5, 5, 5, 5, 7], [7, 5, 7, 7, 7, 5, 7, 0, 7, 7, 7, 0, 7, 9, 7, 7, 7, 9, 7, 5, 7, 7, 7, 5, 7], [7, 5, 5, 5, 7, 5, 7, 0, 7, 7, 7, 0, 7, 9, 9, 9, 9, 9, 7, 5, 5, 5, 7, 5, 7], [7, 5, 7, 5, 7, 5, 7, 0, 7, 7, 7, 0, 7, 9, 7, 9, 7, 9, 7, 5, 7, 5, 7, 5, 7], [7, 5, 5, 5, 5, 5, 7, 0, 0, 0, 0, 0, 7, 9, 9, 9, 9, 9, 7, 5, 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, 9, 9, 9, 9, 9, 7, 5, 5, 5, 5, 5, 7, 4, 4, 4, 4, 4, 7, 2, 2, 2, 2, 2, 7], [7, 9, 7, 7, 7, 9, 7, 5, 7, 7, 7, 5, 7, 4, 7, 4, 7, 4, 7, 2, 7, 7, 7, 2, 7], [7, 9, 9, 9, 9, 9, 7, 5, 5, 5, 7, 5, 7, 4, 7, 4, 4, 4, 7, 2, 7, 7, 7, 2, 7], [7, 9, 7, 9, 7, 9, 7, 5, 7, 5, 7, 5, 7, 4, 7, 7, 7, 4, 7, 2, 7, 7, 7, 2, 7], [7, 9, 9, 9, 9, 9, 7, 5, 5, 5, 5, 5, 7, 4, 4, 4, 4, 4, 7, 2, 2, 2, 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]], "task_id": "42918530", "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 2 2 2 6 2 0 5 5 8 5 6 2 2 2 2 3 2 2 2 3 2 1 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 6 2 2 2 8 2 2 2 2 2 0 2 2 2 6 5 2 7 2 7 2 2 2 0 2 2 2 9 9 2 6 7 2 2 2 2 2 2 2 2 2 2 2 7 9 2 2 2 2 Output: 2 2 2 2 2 2 2 2 2 2 2 8 8 8 2 2 2 2 2 2 2 8 1 8 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 Example 2: Input: 2 2 7 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 8 2 2 2 2 8 7 2 2 2 2 2 2 0 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 9 2 2 2 2 2 2 0 2 0 7 2 2 6 2 0 2 2 2 0 4 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 8 2 2 2 2 2 2 2 8 9 8 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 Example 3: Input: 2 2 2 2 2 4 2 2 2 1 4 8 2 2 2 2 2 2 2 2 2 8 2 7 2 8 2 2 5 2 2 2 2 2 2 2 0 2 3 2 0 2 2 2 2 2 2 2 3 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 5 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 2 2 2 2 2 2 2 2 2 2 2 2 7 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 2 2 2 2 2 2 2 2 2 2 8 8 8 2 2 2 2 2 2 2 8 6 8 2 2 2 2 2 2 2 8 8 8 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: 2 2 2 5 7 8 2 2 2 2 2 2 2 8 2 1 7 2 2 2 2 2 2 6 2 2 2 2 2 2 4 2 2 2 2 6 2 4 2 2 9 2 2 2 2 9 5 5 9 5 2 2 2 5 2 2 4 2 2 2 2 2 9 2 3 2 2 2 2 2 5 2 5 1 2 2 6 2 7 7 8 2 2 2 2 2 2 6 2 2 5 1 2 2 2 2 2 0 2 0
{"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\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 2 2 2 2\n2 2 2 8 3 8 2 2 2 2\n2 2 2 8 8 8 2 2 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:\n6 2 2 2 6 2 0 5 5 8\n5 6 2 2 2 2 3 2 2 2\n3 2 1 2 2 2 0 2 2 2\n2 2 0 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 3\n2 6 2 2 2 8 2 2 2 2\n2 0 2 2 2 6 5 2 7 2\n7 2 2 2 0 2 2 2 9 9\n2 6 7 2 2 2 2 2 2 2\n2 2 2 2 7 9 2 2 2 2\nOutput:\n2 2 2 2 2 2 2 2 2 2\n2 8 8 8 2 2 2 2 2 2\n2 8 1 8 2 2 2 2 2 2\n2 8 8 8 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\n\nExample 2:\n\nInput:\n2 2 7 2 2 2 0 2 2 2\n2 2 2 2 2 2 2 2 2 2\n0 2 2 2 8 2 2 2 2 8\n7 2 2 2 2 2 2 0 2 2\n2 2 2 2 2 2 2 4 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 9 2\n2 2 2 2 2 0 2 0 7 2\n2 6 2 0 2 2 2 0 4 2\n2 2 6 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 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 8 8 8\n2 2 2 2 2 2 2 8 9 8\n2 2 2 2 2 2 2 8 8 8\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n\nExample 3:\n\nInput:\n2 2 2 2 2 4 2 2 2 1\n4 8 2 2 2 2 2 2 2 2\n2 8 2 7 2 8 2 2 5 2\n2 2 2 2 2 2 0 2 3 2\n0 2 2 2 2 2 2 2 3 2\n2 2 2 2 1 2 2 2 2 2\n2 2 2 2 2 2 5 2 0 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 6 2 2 2 2 2 2\n2 2 2 2 2 2 2 7 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 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 8 2 2 2 2 2\n2 2 8 6 8 2 2 2 2 2\n2 2 8 8 8 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:\n2 2 2 5 7 8 2 2 2 2\n2 2 2 8 2 1 7 2 2 2\n2 2 2 6 2 2 2 2 2 2\n4 2 2 2 2 6 2 4 2 2\n9 2 2 2 2 9 5 5 9 5\n2 2 2 5 2 2 4 2 2 2\n2 2 9 2 3 2 2 2 2 2\n5 2 5 1 2 2 6 2 7 7\n8 2 2 2 2 2 2 6 2 2\n5 1 2 2 2 2 2 0 2 0\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\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 2 2 2 2\n2 2 2 8 3 8 2 2 2 2\n2 2 2 8 8 8 2 2 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": 188, "input": [[2, 2, 2, 5, 7, 8, 2, 2, 2, 2], [2, 2, 2, 8, 2, 1, 7, 2, 2, 2], [2, 2, 2, 6, 2, 2, 2, 2, 2, 2], [4, 2, 2, 2, 2, 6, 2, 4, 2, 2], [9, 2, 2, 2, 2, 9, 5, 5, 9, 5], [2, 2, 2, 5, 2, 2, 4, 2, 2, 2], [2, 2, 9, 2, 3, 2, 2, 2, 2, 2], [5, 2, 5, 1, 2, 2, 6, 2, 7, 7], [8, 2, 2, 2, 2, 2, 2, 6, 2, 2], [5, 1, 2, 2, 2, 2, 2, 0, 2, 0]], "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, 8, 8, 8, 2, 2, 2, 2], [2, 2, 2, 8, 3, 8, 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]], "task_id": "31aa019c", "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": 188, "input": [[2, 2, 2, 5, 7, 8, 2, 2, 2, 2], [2, 2, 2, 8, 2, 1, 7, 2, 2, 2], [2, 2, 2, 6, 2, 2, 2, 2, 2, 2], [4, 2, 2, 2, 2, 6, 2, 4, 2, 2], [9, 2, 2, 2, 2, 9, 5, 5, 9, 5], [2, 2, 2, 5, 2, 2, 4, 2, 2, 2], [2, 2, 9, 2, 3, 2, 2, 2, 2, 2], [5, 2, 5, 1, 2, 2, 6, 2, 7, 7], [8, 2, 2, 2, 2, 2, 2, 6, 2, 2], [5, 1, 2, 2, 2, 2, 2, 0, 2, 0]], "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, 8, 8, 8, 2, 2, 2, 2], [2, 2, 2, 8, 3, 8, 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]], "task_id": "31aa019c", "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 9 9 9 9 3 9 0 0 3 3 9 0 0 3 3 9 9 9 9 3 3 3 3 3 3 Output: 3 3 3 3 3 3 3 3 0 Example 2: Input: 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 9 0 0 0 0 3 3 3 3 9 0 0 0 0 3 3 3 3 9 0 0 0 0 3 3 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 3 Output: 3 3 3 3 3 0 3 3 0 Example 3: Input: 3 3 3 3 3 3 3 9 9 9 9 9 3 3 9 0 0 3 3 3 3 9 0 0 3 3 3 3 9 0 0 3 3 3 3 9 9 9 9 9 3 3 3 3 3 3 3 3 3 Output: 3 3 3 3 3 0 3 3 0 Example 4: Input: 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 9 3 9 0 0 0 3 3 3 3 3 9 0 0 0 3 3 3 3 3 9 0 0 0 3 3 3 3 3 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 Output: 3 0 0 3 3 0 3 3 0 Example 5: Input: 3 3 3 3 3 3 3 3 3 9 9 9 9 9 9 9 3 3 9 0 0 0 3 3 3 3 3 9 0 0 0 3 3 3 3 3 9 0 0 0 3 3 3 3 3 9 0 0 0 3 3 3 3 3 9 0 0 0 3 3 3 3 3 9 9 9 9 9 9 9 3 3 3 3 3 3 3 3 3 3 3 Output: 3 3 0 3 3 0 3 3 0 Example 6: Input: 3 3 3 3 3 3 9 9 9 9 9 3 9 0 3 3 3 3 9 0 3 3 3 3 9 9 9 9 9 3 3 3 3 3 3 3 Output: 3 3 0 3 3 0 3 3 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 3 3 3 3 3 3 3 3 3 3 9 9 9 9 9 9 9 9 3 9 0 0 0 0 0 0 3 3 9 0 0 0 0 0 0 3 3 9 0 0 0 0 0 0 3 3 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
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "3 3 3\n3 3 3\n3 3 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\n9 9 9 9 3\n9 0 0 3 3\n9 0 0 3 3\n9 9 9 9 3\n3 3 3 3 3\nOutput:\n3 3 3\n3 3 3\n3 3 0\n\nExample 2:\n\nInput:\n3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3\n9 9 9 9 9 9 9 3 3\n9 0 0 0 0 3 3 3 3\n9 0 0 0 0 3 3 3 3\n9 0 0 0 0 3 3 3 3\n9 9 9 9 9 9 9 3 3\n3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3\nOutput:\n3 3 3\n3 3 0\n3 3 0\n\nExample 3:\n\nInput:\n3 3 3 3 3 3 3\n9 9 9 9 9 3 3\n9 0 0 3 3 3 3\n9 0 0 3 3 3 3\n9 0 0 3 3 3 3\n9 9 9 9 9 3 3\n3 3 3 3 3 3 3\nOutput:\n3 3 3\n3 3 0\n3 3 0\n\nExample 4:\n\nInput:\n3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3\n9 9 9 9 9 9 9 9 3\n9 0 0 0 3 3 3 3 3\n9 0 0 0 3 3 3 3 3\n9 0 0 0 3 3 3 3 3\n9 9 9 9 9 9 9 9 3\n3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3\nOutput:\n3 0 0\n3 3 0\n3 3 0\n\nExample 5:\n\nInput:\n3 3 3 3 3 3 3 3 3\n9 9 9 9 9 9 9 3 3\n9 0 0 0 3 3 3 3 3\n9 0 0 0 3 3 3 3 3\n9 0 0 0 3 3 3 3 3\n9 0 0 0 3 3 3 3 3\n9 0 0 0 3 3 3 3 3\n9 9 9 9 9 9 9 3 3\n3 3 3 3 3 3 3 3 3\nOutput:\n3 3 0\n3 3 0\n3 3 0\n\nExample 6:\n\nInput:\n3 3 3 3 3 3\n9 9 9 9 9 3\n9 0 3 3 3 3\n9 0 3 3 3 3\n9 9 9 9 9 3\n3 3 3 3 3 3\nOutput:\n3 3 0\n3 3 0\n3 3 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 3\n3 3 3 3 3 3 3 3 3\n9 9 9 9 9 9 9 9 3\n9 0 0 0 0 0 0 3 3\n9 0 0 0 0 0 0 3 3\n9 0 0 0 0 0 0 3 3\n9 9 9 9 9 9 9 9 3\n3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3\n", "answer": "3 3 3\n3 3 3\n3 3 0", "metadata": {"source_dataset": "arc_agi", "source_index": 189, "input": [[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, 9, 3], [9, 0, 0, 0, 0, 0, 0, 3, 3], [9, 0, 0, 0, 0, 0, 0, 3, 3], [9, 0, 0, 0, 0, 0, 0, 3, 3], [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]], "output": [[3, 3, 3], [3, 3, 3], [3, 3, 0]], "task_id": "b0c4d837", "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": 189, "input": [[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, 9, 3], [9, 0, 0, 0, 0, 0, 0, 3, 3], [9, 0, 0, 0, 0, 0, 0, 3, 3], [9, 0, 0, 0, 0, 0, 0, 3, 3], [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]], "output": [[3, 3, 3], [3, 3, 3], [3, 3, 0]], "task_id": "b0c4d837", "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 5 5 5 7 5 7 5 7 Output: 3 Example 2: Input: 8 7 8 7 8 7 8 7 8 Output: 1 Example 3: Input: 3 3 7 3 3 7 7 7 3 Output: 9 Example 4: Input: 7 8 7 8 8 8 7 8 7 Output: 0 Example 5: Input: 4 7 4 7 4 7 4 7 4 Output: 1 Example 6: Input: 4 4 7 4 4 7 7 7 4 Output: 9 Example 7: Input: 7 8 8 8 7 8 7 8 7 Output: 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: 7 4 7 4 4 4 7 4 7
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "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:\n7 5 5\n5 7 5\n7 5 7\nOutput:\n3\n\nExample 2:\n\nInput:\n8 7 8\n7 8 7\n8 7 8\nOutput:\n1\n\nExample 3:\n\nInput:\n3 3 7\n3 3 7\n7 7 3\nOutput:\n9\n\nExample 4:\n\nInput:\n7 8 7\n8 8 8\n7 8 7\nOutput:\n0\n\nExample 5:\n\nInput:\n4 7 4\n7 4 7\n4 7 4\nOutput:\n1\n\nExample 6:\n\nInput:\n4 4 7\n4 4 7\n7 7 4\nOutput:\n9\n\nExample 7:\n\nInput:\n7 8 8\n8 7 8\n7 8 7\nOutput:\n3\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 4 7\n4 4 4\n7 4 7\n", "answer": "0", "metadata": {"source_dataset": "arc_agi", "source_index": 190, "input": [[7, 4, 7], [4, 4, 4], [7, 4, 7]], "output": [[0]], "task_id": "27a28665", "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": 190, "input": [[7, 4, 7], [4, 4, 4], [7, 4, 7]], "output": [[0]], "task_id": "27a28665", "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 7 7 7 7 7 7 7 0 7 7 0 7 7 7 7 7 7 7 0 0 0 0 7 7 0 0 0 7 7 7 7 7 7 7 7 0 7 0 7 7 7 7 0 0 0 7 0 0 0 7 7 7 7 0 7 0 7 7 7 7 7 7 7 7 0 0 0 7 7 7 7 7 7 7 7 0 7 0 7 7 7 7 7 7 7 7 0 0 0 7 7 7 7 7 7 Output: 5 5 5 5 7 7 7 7 7 7 7 5 7 7 5 7 7 7 7 7 7 7 5 5 5 5 7 7 5 5 5 7 7 7 7 7 7 7 7 5 7 5 7 7 7 7 2 2 2 7 5 5 5 7 7 7 7 2 7 2 7 7 7 7 7 7 7 7 2 2 2 7 7 7 7 7 7 7 7 2 7 2 7 7 7 7 7 7 7 7 2 2 2 7 7 7 7 7 7 Example 2: Input: 7 7 7 7 7 7 7 7 7 0 0 0 7 7 7 7 0 0 0 0 0 0 0 0 7 0 7 7 7 7 0 7 0 7 7 0 7 0 0 0 7 7 7 7 0 0 0 0 0 0 0 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 0 0 0 0 7 7 7 7 0 0 0 0 7 7 0 7 7 0 7 7 7 7 0 7 7 0 7 7 0 7 7 0 7 7 7 7 0 0 0 0 7 7 0 0 0 0 0 7 7 7 0 7 7 0 7 7 7 7 0 7 0 7 7 7 0 0 0 0 7 7 7 0 0 0 0 7 7 7 7 7 7 7 7 7 7 0 7 7 0 7 7 7 0 0 0 7 7 7 7 0 0 0 0 7 7 7 0 7 0 7 7 7 7 7 7 7 7 7 7 7 0 0 0 7 7 Output: 7 7 7 7 7 7 7 7 7 1 1 1 7 7 7 7 1 1 1 1 1 1 1 1 7 1 7 7 7 7 1 7 1 7 7 1 7 1 1 1 7 7 7 7 1 1 1 1 1 1 1 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 6 6 6 6 7 7 7 7 2 2 2 2 7 7 6 7 7 6 7 7 7 7 2 7 7 2 7 7 6 7 7 6 7 7 7 7 2 2 2 2 7 7 6 6 6 6 6 7 7 7 2 7 7 2 7 7 7 7 6 7 6 7 7 7 2 2 2 2 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 7 7 6 7 7 7 5 5 5 7 7 7 7 6 6 6 6 7 7 7 5 7 5 7 7 7 7 7 7 7 7 7 7 7 5 5 5 7 7 Example 3: Input: 7 7 0 0 0 7 7 7 7 7 7 7 7 7 7 7 0 7 0 7 7 0 0 0 0 0 7 7 7 7 0 0 0 7 7 0 7 7 7 0 7 7 7 7 0 7 0 7 7 0 0 0 0 0 7 7 7 7 0 0 0 7 7 7 7 7 7 7 7 7 7 7 0 7 0 7 7 7 7 7 7 7 7 7 7 7 0 0 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 0 0 7 7 7 7 7 7 7 7 7 7 7 0 7 0 0 0 7 7 7 7 7 7 7 7 7 0 7 0 7 0 7 7 7 7 0 0 0 7 7 0 7 0 0 0 7 7 7 7 0 7 0 7 7 0 0 0 7 7 7 7 7 7 0 0 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 Output: 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 7 6 7 7 5 5 5 5 5 7 7 7 7 6 6 6 7 7 5 7 7 7 5 7 7 7 7 6 7 6 7 7 5 5 5 5 5 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 7 6 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 2 2 2 7 7 7 7 7 7 7 7 7 7 7 2 7 2 2 2 7 7 7 7 7 7 7 7 7 2 7 2 7 2 7 7 7 7 5 5 5 7 7 2 7 2 2 2 7 7 7 7 5 7 5 7 7 2 2 2 7 7 7 7 7 7 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 Example 4: Input: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 0 0 0 0 7 7 7 7 7 7 0 7 0 7 0 7 7 7 7 7 7 0 0 0 0 0 7 7 0 0 0 7 7 7 0 7 0 7 7 0 7 0 7 7 7 0 7 0 7 7 0 0 0 7 7 7 0 0 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 0 0 7 0 0 0 0 7 7 7 0 7 0 7 0 7 7 0 7 0 0 0 0 0 7 0 7 7 0 7 0 7 7 7 0 7 0 0 0 0 7 0 0 0 0 0 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 6 6 6 6 6 7 7 7 7 7 7 6 7 6 7 6 7 7 7 7 7 7 6 6 6 6 6 7 7 5 5 5 7 7 7 6 7 6 7 7 5 7 5 7 7 7 6 7 6 7 7 5 5 5 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 2 2 2 7 5 5 5 5 7 7 7 2 7 2 7 5 7 7 5 7 2 2 2 2 2 7 5 7 7 5 7 2 7 7 7 2 7 5 5 5 5 7 2 2 2 2 2 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 0 0 0 7 7 7 7 7 7 7 0 0 0 0 7 7 7 0 7 0 7 7 0 0 0 7 7 0 7 7 0 7 7 7 0 0 0 7 7 0 7 0 0 0 0 0 0 0 7 7 7 0 7 0 7 7 0 7 0 7 0 7 0 7 7 7 7 7 0 7 0 7 7 0 0 0 0 0 0 0 7 7 7 7 7 0 0 0 0 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7 7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 0 0 0 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 0 0 0 0 0 7 7 7 7 7 7 7 7 7 7 7 0 7 7 7 7 0 7 7 0 0 0 0 0 0 0 7 7 0 7 7 7 7 0 7 7 0 7 7 0 7 7 0 7 7 0 0 0 0 0 0 7 7 0 7 7 0 7 7 0 7 7 7 7 7 7 7 7 7 7 0 0 0 0 0 0 0 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\n7 6 6 6 7 7 7 7 7 7 7 1 1 1 1 7 7\n7 6 7 6 7 7 1 1 1 7 7 1 7 7 1 7 7\n7 6 6 6 7 7 1 7 1 1 1 1 1 1 1 7 7\n7 6 7 6 7 7 1 7 1 7 1 7 1 7 7 7 7\n7 6 7 6 7 7 1 1 1 1 1 1 1 7 7 7 7\n7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7\n7 6 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7\n7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 5 5 5 5 5 5 7 7\n7 7 7 7 7 7 7 7 7 5 7 7 7 7 5 7 7\n2 2 2 2 2 2 2 7 7 5 7 7 7 7 5 7 7\n2 7 7 2 7 7 2 7 7 5 5 5 5 5 5 7 7\n2 7 7 2 7 7 2 7 7 7 7 7 7 7 7 7 7\n2 2 2 2 2 2 2 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:\n0 0 0 0 7 7 7 7 7 7 7\n0 7 7 0 7 7 7 7 7 7 7\n0 0 0 0 7 7 0 0 0 7 7\n7 7 7 7 7 7 0 7 0 7 7\n7 7 0 0 0 7 0 0 0 7 7\n7 7 0 7 0 7 7 7 7 7 7\n7 7 0 0 0 7 7 7 7 7 7\n7 7 0 7 0 7 7 7 7 7 7\n7 7 0 0 0 7 7 7 7 7 7\nOutput:\n5 5 5 5 7 7 7 7 7 7 7\n5 7 7 5 7 7 7 7 7 7 7\n5 5 5 5 7 7 5 5 5 7 7\n7 7 7 7 7 7 5 7 5 7 7\n7 7 2 2 2 7 5 5 5 7 7\n7 7 2 7 2 7 7 7 7 7 7\n7 7 2 2 2 7 7 7 7 7 7\n7 7 2 7 2 7 7 7 7 7 7\n7 7 2 2 2 7 7 7 7 7 7\n\nExample 2:\n\nInput:\n7 7 7 7 7 7 7 7 7 0 0 0 7 7\n7 7 0 0 0 0 0 0 0 0 7 0 7 7\n7 7 0 7 0 7 7 0 7 0 0 0 7 7\n7 7 0 0 0 0 0 0 0 0 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 0 0 0 0 7 7 7 7 0 0 0 0 7\n7 0 7 7 0 7 7 7 7 0 7 7 0 7\n7 0 7 7 0 7 7 7 7 0 0 0 0 7\n7 0 0 0 0 0 7 7 7 0 7 7 0 7\n7 7 7 0 7 0 7 7 7 0 0 0 0 7\n7 7 0 0 0 0 7 7 7 7 7 7 7 7\n7 7 0 7 7 0 7 7 7 0 0 0 7 7\n7 7 0 0 0 0 7 7 7 0 7 0 7 7\n7 7 7 7 7 7 7 7 7 0 0 0 7 7\nOutput:\n7 7 7 7 7 7 7 7 7 1 1 1 7 7\n7 7 1 1 1 1 1 1 1 1 7 1 7 7\n7 7 1 7 1 7 7 1 7 1 1 1 7 7\n7 7 1 1 1 1 1 1 1 1 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 6 6 6 6 7 7 7 7 2 2 2 2 7\n7 6 7 7 6 7 7 7 7 2 7 7 2 7\n7 6 7 7 6 7 7 7 7 2 2 2 2 7\n7 6 6 6 6 6 7 7 7 2 7 7 2 7\n7 7 7 6 7 6 7 7 7 2 2 2 2 7\n7 7 6 6 6 6 7 7 7 7 7 7 7 7\n7 7 6 7 7 6 7 7 7 5 5 5 7 7\n7 7 6 6 6 6 7 7 7 5 7 5 7 7\n7 7 7 7 7 7 7 7 7 5 5 5 7 7\n\nExample 3:\n\nInput:\n7 7 0 0 0 7 7 7 7 7 7 7 7 7\n7 7 0 7 0 7 7 0 0 0 0 0 7 7\n7 7 0 0 0 7 7 0 7 7 7 0 7 7\n7 7 0 7 0 7 7 0 0 0 0 0 7 7\n7 7 0 0 0 7 7 7 7 7 7 7 7 7\n7 7 0 7 0 7 7 7 7 7 7 7 7 7\n7 7 0 0 0 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 0 0 0 7 7 7 7 7\n7 7 7 7 7 7 0 7 0 0 0 7 7 7\n7 7 7 7 7 7 0 7 0 7 0 7 7 7\n7 0 0 0 7 7 0 7 0 0 0 7 7 7\n7 0 7 0 7 7 0 0 0 7 7 7 7 7\n7 0 0 0 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\nOutput:\n7 7 6 6 6 7 7 7 7 7 7 7 7 7\n7 7 6 7 6 7 7 5 5 5 5 5 7 7\n7 7 6 6 6 7 7 5 7 7 7 5 7 7\n7 7 6 7 6 7 7 5 5 5 5 5 7 7\n7 7 6 6 6 7 7 7 7 7 7 7 7 7\n7 7 6 7 6 7 7 7 7 7 7 7 7 7\n7 7 6 6 6 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 2 2 2 7 7 7 7 7\n7 7 7 7 7 7 2 7 2 2 2 7 7 7\n7 7 7 7 7 7 2 7 2 7 2 7 7 7\n7 5 5 5 7 7 2 7 2 2 2 7 7 7\n7 5 7 5 7 7 2 2 2 7 7 7 7 7\n7 5 5 5 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 4:\n\nInput:\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 0 0 0 0 0 7 7\n7 7 7 7 0 7 0 7 0 7 7\n7 7 7 7 0 0 0 0 0 7 7\n0 0 0 7 7 7 0 7 0 7 7\n0 7 0 7 7 7 0 7 0 7 7\n0 0 0 7 7 7 0 0 0 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 0 0 0\n7 0 0 0 0 7 7 7 0 7 0\n7 0 7 7 0 7 0 0 0 0 0\n7 0 7 7 0 7 0 7 7 7 0\n7 0 0 0 0 7 0 0 0 0 0\n7 7 7 7 7 7 7 7 7 7 7\nOutput:\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 6 6 6 6 6 7 7\n7 7 7 7 6 7 6 7 6 7 7\n7 7 7 7 6 6 6 6 6 7 7\n5 5 5 7 7 7 6 7 6 7 7\n5 7 5 7 7 7 6 7 6 7 7\n5 5 5 7 7 7 6 6 6 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 2 2 2\n7 5 5 5 5 7 7 7 2 7 2\n7 5 7 7 5 7 2 2 2 2 2\n7 5 7 7 5 7 2 7 7 7 2\n7 5 5 5 5 7 2 2 2 2 2\n7 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\n7 0 0 0 7 7 7 7 7 7 7 0 0 0 0 7 7\n7 0 7 0 7 7 0 0 0 7 7 0 7 7 0 7 7\n7 0 0 0 7 7 0 7 0 0 0 0 0 0 0 7 7\n7 0 7 0 7 7 0 7 0 7 0 7 0 7 7 7 7\n7 0 7 0 7 7 0 0 0 0 0 0 0 7 7 7 7\n7 0 0 0 0 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 7 7 0 7 7 7 7 7 7 7 7 7 7 7 7\n7 0 0 0 0 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 0 0 0 0 0 0 7 7\n7 7 7 7 7 7 7 7 7 0 7 7 7 7 0 7 7\n0 0 0 0 0 0 0 7 7 0 7 7 7 7 0 7 7\n0 7 7 0 7 7 0 7 7 0 0 0 0 0 0 7 7\n0 7 7 0 7 7 0 7 7 7 7 7 7 7 7 7 7\n0 0 0 0 0 0 0 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\n7 6 6 6 7 7 7 7 7 7 7 1 1 1 1 7 7\n7 6 7 6 7 7 1 1 1 7 7 1 7 7 1 7 7\n7 6 6 6 7 7 1 7 1 1 1 1 1 1 1 7 7\n7 6 7 6 7 7 1 7 1 7 1 7 1 7 7 7 7\n7 6 7 6 7 7 1 1 1 1 1 1 1 7 7 7 7\n7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7\n7 6 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7\n7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 5 5 5 5 5 5 7 7\n7 7 7 7 7 7 7 7 7 5 7 7 7 7 5 7 7\n2 2 2 2 2 2 2 7 7 5 7 7 7 7 5 7 7\n2 7 7 2 7 7 2 7 7 5 5 5 5 5 5 7 7\n2 7 7 2 7 7 2 7 7 7 7 7 7 7 7 7 7\n2 2 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7", "metadata": {"source_dataset": "arc_agi", "source_index": 191, "input": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7], [7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7], [7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7], [7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7], [7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7], [0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7], [0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7], [0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 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, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 7, 7], [7, 6, 7, 6, 7, 7, 1, 1, 1, 7, 7, 1, 7, 7, 1, 7, 7], [7, 6, 6, 6, 7, 7, 1, 7, 1, 1, 1, 1, 1, 1, 1, 7, 7], [7, 6, 7, 6, 7, 7, 1, 7, 1, 7, 1, 7, 1, 7, 7, 7, 7], [7, 6, 7, 6, 7, 7, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 7], [7, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 6, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 6, 6, 6, 6, 7, 7, 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, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7], [2, 2, 2, 2, 2, 2, 2, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7], [2, 7, 7, 2, 7, 7, 2, 7, 7, 5, 5, 5, 5, 5, 5, 7, 7], [2, 7, 7, 2, 7, 7, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "task_id": "0a2355a6", "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": 191, "input": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7], [7, 0, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7], [7, 0, 0, 0, 7, 7, 0, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7], [7, 0, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7], [7, 0, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7], [7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7], [0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 0, 7, 7], [0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7], [0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 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, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 7, 7], [7, 6, 7, 6, 7, 7, 1, 1, 1, 7, 7, 1, 7, 7, 1, 7, 7], [7, 6, 6, 6, 7, 7, 1, 7, 1, 1, 1, 1, 1, 1, 1, 7, 7], [7, 6, 7, 6, 7, 7, 1, 7, 1, 7, 1, 7, 1, 7, 7, 7, 7], [7, 6, 7, 6, 7, 7, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 7], [7, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 6, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 6, 6, 6, 6, 7, 7, 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, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7], [2, 2, 2, 2, 2, 2, 2, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7], [2, 7, 7, 2, 7, 7, 2, 7, 7, 5, 5, 5, 5, 5, 5, 7, 7], [2, 7, 7, 2, 7, 7, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "task_id": "0a2355a6", "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 6 6 6 6 6 6 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 6 6 6 6 6 6 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 6 6 6 6 6 6 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 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 6 6 6 6 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 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 6 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 Output: 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 3 3 3 2 0 0 0 6 6 6 6 6 6 0 0 0 2 2 2 2 3 3 3 2 0 0 0 6 6 6 6 6 6 0 0 0 2 2 2 2 3 3 3 2 0 0 0 6 6 6 6 6 6 0 0 0 2 2 2 2 3 3 3 2 0 0 0 6 6 6 6 6 6 0 0 0 2 2 2 2 3 3 3 2 0 0 0 6 6 6 6 6 6 0 0 0 2 2 2 2 3 3 3 2 0 0 0 6 6 6 6 6 6 0 0 0 2 2 2 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 6 6 6 6 0 3 3 2 2 3 3 3 3 3 3 3 3 3 0 0 6 6 6 6 0 3 3 2 2 3 3 3 3 3 3 3 3 3 0 0 6 6 6 6 0 3 3 2 2 3 3 3 3 3 3 3 3 3 0 0 6 6 6 6 0 3 0 0 0 0 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 3 0 6 6 0 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 3 0 6 6 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 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 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 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 3 3 3 3 3 3 3 3 3 3 3 3 3 6 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 6 3 3 3 3 3 3 3 3 3 3 3 3 3 6 6 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 6 6 6 6 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 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 Output: 3 3 3 2 2 3 3 3 2 2 2 2 3 2 2 3 3 3 2 2 3 3 3 2 2 2 2 3 2 2 3 3 3 2 2 3 3 3 2 2 2 2 3 2 2 3 3 3 2 2 3 3 3 2 2 2 2 0 0 0 3 3 3 2 2 3 3 3 2 2 2 2 0 6 6 3 3 3 2 2 3 3 3 2 2 2 2 0 6 6 3 3 0 0 0 0 3 3 2 2 2 2 0 0 0 3 3 0 6 6 0 0 0 0 0 0 0 0 0 3 3 3 0 6 6 0 0 0 0 0 0 0 0 0 3 3 3 0 0 0 0 0 0 6 6 6 6 0 0 3 3 3 3 3 3 3 0 0 6 6 6 6 0 0 3 3 3 3 3 3 3 0 0 6 6 6 6 0 0 3 3 3 3 3 3 3 0 0 6 6 6 6 0 0 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 3 Example 3: Input: 3 3 3 3 3 3 3 3 3 3 3 6 6 3 3 3 3 3 3 3 3 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 6 6 3 3 3 3 3 3 3 3 6 6 3 3 Output: 0 0 0 0 3 3 2 2 3 3 0 6 6 0 3 3 2 2 3 3 0 6 6 0 3 3 2 2 3 3 0 0 0 0 3 3 2 2 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 0 0 0 0 3 3 3 3 3 3 0 6 6 0 3 3 3 3 3 3 0 6 6 0 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 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 6 6 6 6 6 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 6 6 6 6 6 3 3 6 6 6 6 3 3 3 3 3 3 3 3 6 6 6 6 6 6 3 3 6 6 6 6 3 3 3 3 3 3 3 3 6 6 6 6 6 6 3 3 6 6 6 6 3 3 3 3 3 3 3 3 6 6 6 6 6 6 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 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 6 6 6 6 3 3 3 3 3 3 3 3 3 Output: 3 3 2 2 2 2 3 2 2 2 2 3 3 3 2 2 2 2 2 2 3 3 2 2 2 2 3 2 2 2 2 3 3 3 2 2 2 2 2 2 3 3 2 2 2 2 3 2 2 2 2 0 0 0 0 0 0 0 0 0 3 3 2 2 2 2 3 2 2 2 2 0 0 0 0 0 0 0 0 0 3 3 2 2 2 2 3 2 2 2 2 0 0 0 0 0 0 0 0 0 3 3 2 2 2 2 3 2 2 2 2 0 0 0 6 6 6 6 6 6 0 0 0 0 0 0 0 0 2 2 2 0 0 0 6 6 6 6 6 6 0 0 0 0 0 0 0 0 2 2 2 0 0 0 6 6 6 6 6 6 0 0 6 6 6 6 0 0 2 2 2 0 0 0 6 6 6 6 6 6 0 0 6 6 6 6 0 0 2 2 2 0 0 0 6 6 6 6 6 6 0 0 6 6 6 6 0 0 2 2 2 0 0 0 6 6 6 6 6 6 0 0 6 6 6 6 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 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 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 0 0 6 6 6 6 0 0 3 3 3 3 3 3 3 3 3 3 3 3 0 0 6 6 6 6 0 0 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 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 3 3 3 3 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 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 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 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 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 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 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 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 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 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 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 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 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 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 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
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "3 3 3 3 2 2 3 3 3 2 2 2 2 3 3 3 2 2 2 2 3 2 2 2 2 2 2 3 3 3\n3 3 3 3 2 2 3 3 3 2 2 2 2 3 3 3 2 2 2 2 3 2 2 2 2 2 2 3 3 3\n3 3 3 3 2 2 3 3 3 2 2 2 2 3 3 3 2 2 2 2 3 2 2 2 2 2 2 3 3 3\n3 3 3 3 2 2 3 3 3 2 2 2 2 3 3 3 2 2 2 2 3 2 2 2 2 2 2 3 3 3\n3 3 3 3 2 2 3 3 3 2 2 2 2 3 3 3 2 2 2 2 3 2 2 2 2 2 2 3 3 3\n3 3 3 0 0 0 0 3 3 2 2 2 2 3 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0\n3 3 3 0 6 6 0 3 3 2 2 2 2 3 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0\n3 3 3 0 6 6 0 3 3 2 2 2 2 3 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0\n3 3 3 0 0 0 0 3 3 2 2 2 2 3 3 3 2 2 0 0 0 6 6 6 6 6 6 0 0 0\n3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 2 2 0 0 0 6 6 6 6 6 6 0 0 0\n3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 2 2 0 0 0 6 6 6 6 6 6 0 0 0\n3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 2 2 0 0 0 6 6 6 6 6 6 0 0 0\n3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 2 2 0 0 0 6 6 6 6 6 6 0 0 0\n3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 2 2 0 0 0 6 6 6 6 6 6 0 0 0\n3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0\n3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0\n3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0\n3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 0 6 6 6 6 0 0 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 0 6 6 6 6 0 0 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 0 6 6 6 6 0 0 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 0 6 6 6 6 0 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 6 6 6 6 0 0 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 6 6 6 6 0 0 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 6 6 6 6 0 0 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 6 6 6 6 0 0 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 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 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 6 6 6 6 6 6 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 6 6 6 6 6 6 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 6 6 6 6 6 6 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 6 6 6 6 6 6 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 6 6 6 6 6 6 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 6 6 6 6 6 6 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 6 6 6 6 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 6 6 6 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 6 6 6 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 6 6 6 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 6 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 6 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\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\nOutput:\n3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 3\n3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 3\n3 3 2 0 0 0 6 6 6 6 6 6 0 0 0 2 2 2 2 3\n3 3 2 0 0 0 6 6 6 6 6 6 0 0 0 2 2 2 2 3\n3 3 2 0 0 0 6 6 6 6 6 6 0 0 0 2 2 2 2 3\n3 3 2 0 0 0 6 6 6 6 6 6 0 0 0 2 2 2 2 3\n3 3 2 0 0 0 6 6 6 6 6 6 0 0 0 2 2 2 2 3\n3 3 2 0 0 0 6 6 6 6 6 6 0 0 0 2 2 2 2 3\n3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 6 6 6 6 0\n3 3 2 2 3 3 3 3 3 3 3 3 3 0 0 6 6 6 6 0\n3 3 2 2 3 3 3 3 3 3 3 3 3 0 0 6 6 6 6 0\n3 3 2 2 3 3 3 3 3 3 3 3 3 0 0 6 6 6 6 0\n3 0 0 0 0 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0\n3 0 6 6 0 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0\n3 0 6 6 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 0 0 0 0 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\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\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 6 6\n3 3 3 3 3 3 3 3 3 3 3 3 3 6 6\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 6 6 3 3 3 3 3 3 3 3 3 3\n3 3 3 6 6 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\n3 3 3 3 3 3 3 3 6 6 6 6 3 3 3\n3 3 3 3 3 3 3 3 6 6 6 6 3 3 3\n3 3 3 3 3 3 3 3 6 6 6 6 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\nOutput:\n3 3 3 2 2 3 3 3 2 2 2 2 3 2 2\n3 3 3 2 2 3 3 3 2 2 2 2 3 2 2\n3 3 3 2 2 3 3 3 2 2 2 2 3 2 2\n3 3 3 2 2 3 3 3 2 2 2 2 0 0 0\n3 3 3 2 2 3 3 3 2 2 2 2 0 6 6\n3 3 3 2 2 3 3 3 2 2 2 2 0 6 6\n3 3 0 0 0 0 3 3 2 2 2 2 0 0 0\n3 3 0 6 6 0 0 0 0 0 0 0 0 0 3\n3 3 0 6 6 0 0 0 0 0 0 0 0 0 3\n3 3 0 0 0 0 0 0 6 6 6 6 0 0 3\n3 3 3 3 3 3 0 0 6 6 6 6 0 0 3\n3 3 3 3 3 3 0 0 6 6 6 6 0 0 3\n3 3 3 3 3 3 0 0 6 6 6 6 0 0 3\n3 3 3 3 3 3 0 0 0 0 0 0 0 0 3\n3 3 3 3 3 3 0 0 0 0 0 0 0 0 3\n\nExample 3:\n\nInput:\n3 3 3 3 3 3 3 3 3 3\n3 6 6 3 3 3 3 3 3 3\n3 6 6 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 6 6 3 3\n3 3 3 3 3 3 6 6 3 3\nOutput:\n0 0 0 0 3 3 2 2 3 3\n0 6 6 0 3 3 2 2 3 3\n0 6 6 0 3 3 2 2 3 3\n0 0 0 0 3 3 2 2 3 3\n3 3 3 3 3 3 2 2 3 3\n3 3 3 3 3 3 2 2 3 3\n3 3 3 3 3 3 2 2 3 3\n3 3 3 3 3 0 0 0 0 3\n3 3 3 3 3 0 6 6 0 3\n3 3 3 3 3 0 6 6 0 3\n\nExample 4:\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 6 6 6 6 6 6\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 6 6 6 6 6\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 6 6 6 6 6\n3 3 6 6 6 6 3 3 3 3 3 3 3 3 6 6 6 6 6 6\n3 3 6 6 6 6 3 3 3 3 3 3 3 3 6 6 6 6 6 6\n3 3 6 6 6 6 3 3 3 3 3 3 3 3 6 6 6 6 6 6\n3 3 6 6 6 6 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 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 6 6 6 6 3 3 3 3 3 3 3 3 3\nOutput:\n3 3 2 2 2 2 3 2 2 2 2 3 3 3 2 2 2 2 2 2\n3 3 2 2 2 2 3 2 2 2 2 3 3 3 2 2 2 2 2 2\n3 3 2 2 2 2 3 2 2 2 2 0 0 0 0 0 0 0 0 0\n3 3 2 2 2 2 3 2 2 2 2 0 0 0 0 0 0 0 0 0\n3 3 2 2 2 2 3 2 2 2 2 0 0 0 0 0 0 0 0 0\n3 3 2 2 2 2 3 2 2 2 2 0 0 0 6 6 6 6 6 6\n0 0 0 0 0 0 0 0 2 2 2 0 0 0 6 6 6 6 6 6\n0 0 0 0 0 0 0 0 2 2 2 0 0 0 6 6 6 6 6 6\n0 0 6 6 6 6 0 0 2 2 2 0 0 0 6 6 6 6 6 6\n0 0 6 6 6 6 0 0 2 2 2 0 0 0 6 6 6 6 6 6\n0 0 6 6 6 6 0 0 2 2 2 0 0 0 6 6 6 6 6 6\n0 0 6 6 6 6 0 0 2 2 2 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0\n3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3\n3 3 3 3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3\n3 3 3 3 3 0 0 6 6 6 6 0 0 3 3 3 3 3 3 3\n3 3 3 3 3 0 0 6 6 6 6 0 0 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 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 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 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 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 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 3\n3 3 3 3 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\n3 3 3 3 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\n3 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\n3 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\n3 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\n3 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\n3 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\n3 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\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 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 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 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 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 3\n3 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\n3 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\n3 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\n3 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\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 3\n3 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\n3 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\n3 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\n3 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\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 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 3\n", "answer": "3 3 3 3 2 2 3 3 3 2 2 2 2 3 3 3 2 2 2 2 3 2 2 2 2 2 2 3 3 3\n3 3 3 3 2 2 3 3 3 2 2 2 2 3 3 3 2 2 2 2 3 2 2 2 2 2 2 3 3 3\n3 3 3 3 2 2 3 3 3 2 2 2 2 3 3 3 2 2 2 2 3 2 2 2 2 2 2 3 3 3\n3 3 3 3 2 2 3 3 3 2 2 2 2 3 3 3 2 2 2 2 3 2 2 2 2 2 2 3 3 3\n3 3 3 3 2 2 3 3 3 2 2 2 2 3 3 3 2 2 2 2 3 2 2 2 2 2 2 3 3 3\n3 3 3 0 0 0 0 3 3 2 2 2 2 3 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0\n3 3 3 0 6 6 0 3 3 2 2 2 2 3 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0\n3 3 3 0 6 6 0 3 3 2 2 2 2 3 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0\n3 3 3 0 0 0 0 3 3 2 2 2 2 3 3 3 2 2 0 0 0 6 6 6 6 6 6 0 0 0\n3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 2 2 0 0 0 6 6 6 6 6 6 0 0 0\n3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 2 2 0 0 0 6 6 6 6 6 6 0 0 0\n3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 2 2 0 0 0 6 6 6 6 6 6 0 0 0\n3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 2 2 0 0 0 6 6 6 6 6 6 0 0 0\n3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 2 2 0 0 0 6 6 6 6 6 6 0 0 0\n3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0\n3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0\n3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 2 2 0 0 0 0 0 0 0 0 0 0 0 0\n3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 0 6 6 6 6 0 0 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 0 6 6 6 6 0 0 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 0 6 6 6 6 0 0 3 2 2 2 2 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 0 6 6 6 6 0 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 6 6 6 6 0 0 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 6 6 6 6 0 0 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 6 6 6 6 0 0 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 6 6 6 6 0 0 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3", "metadata": {"source_dataset": "arc_agi", "source_index": 192, "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, 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, 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, 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, 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, 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, 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, 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, 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, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 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, 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, 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, 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, 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, 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, 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]], "output": [[3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3], [3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3], [3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3], [3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3], [3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3], [3, 3, 3, 0, 0, 0, 0, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 6, 6, 0, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 6, 6, 0, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 0, 0, 0, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 0, 0, 6, 6, 6, 6, 0, 0, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 0, 0, 6, 6, 6, 6, 0, 0, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 0, 0, 6, 6, 6, 6, 0, 0, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 6, 6, 6, 6, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 6, 6, 6, 6, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 6, 6, 6, 6, 0, 0, 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, 0, 0, 0, 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, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3]], "task_id": "db93a21d", "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": 192, "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, 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, 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, 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, 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, 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, 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, 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, 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, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 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, 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, 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, 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, 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, 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, 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]], "output": [[3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3], [3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3], [3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3], [3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3], [3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 3, 3, 3], [3, 3, 3, 0, 0, 0, 0, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 6, 6, 0, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 6, 6, 0, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 0, 0, 0, 0, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 0, 0, 6, 6, 6, 6, 0, 0, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 0, 0, 6, 6, 6, 6, 0, 0, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 0, 0, 6, 6, 6, 6, 0, 0, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 6, 6, 6, 6, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 6, 6, 6, 6, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 6, 6, 6, 6, 0, 0, 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, 0, 0, 0, 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, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3]], "task_id": "db93a21d", "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 0 9 6 7 0 9 7 2 3 7 5 7 9 3 7 2 9 6 7 7 7 6 7 9 7 5 7 9 0 7 5 9 9 9 9 9 9 9 9 9 9 9 7 5 6 9 0 7 6 9 7 5 0 0 7 7 9 2 7 3 9 2 7 6 2 3 7 9 7 5 7 9 7 3 7 9 9 9 9 9 9 9 9 9 9 9 7 6 3 9 7 0 7 9 7 7 2 7 7 7 9 5 7 6 9 0 7 6 5 0 2 9 3 7 2 9 7 3 5 Output: 2 2 2 9 7 7 7 9 0 0 0 2 2 2 9 7 7 7 9 0 0 0 2 2 2 9 7 7 7 9 0 0 0 9 9 9 9 9 9 9 9 9 9 9 7 7 7 9 5 5 5 9 7 7 7 7 7 7 9 5 5 5 9 7 7 7 7 7 7 9 5 5 5 9 7 7 7 9 9 9 9 9 9 9 9 9 9 9 7 7 7 9 6 6 6 9 7 7 7 7 7 7 9 6 6 6 9 7 7 7 7 7 7 9 6 6 6 9 7 7 7 Example 2: Input: 7 0 7 9 7 5 6 9 0 7 3 6 7 2 9 2 7 0 9 6 7 5 7 5 3 9 7 3 7 9 7 2 7 9 9 9 9 9 9 9 9 9 9 9 7 2 7 9 5 2 7 9 7 7 2 0 3 5 9 7 7 3 9 6 0 7 6 7 7 9 6 0 7 9 7 5 7 9 9 9 9 9 9 9 9 9 9 9 7 7 6 9 6 7 3 9 7 2 5 0 7 7 9 5 7 0 9 7 3 7 2 3 5 9 7 2 7 9 6 7 0 Output: 7 7 7 9 7 7 7 9 2 2 2 7 7 7 9 7 7 7 9 2 2 2 7 7 7 9 7 7 7 9 2 2 2 9 9 9 9 9 9 9 9 9 9 9 6 6 6 9 0 0 0 9 7 7 7 6 6 6 9 0 0 0 9 7 7 7 6 6 6 9 0 0 0 9 7 7 7 9 9 9 9 9 9 9 9 9 9 9 7 7 7 9 5 5 5 9 7 7 7 7 7 7 9 5 5 5 9 7 7 7 7 7 7 9 5 5 5 9 7 7 7 Example 3: Input: 6 7 0 9 7 7 7 9 7 6 5 3 7 2 9 5 3 6 9 0 7 2 5 7 7 9 2 0 7 9 7 3 7 9 9 9 9 9 9 9 9 9 9 9 5 3 7 9 3 7 2 9 0 7 7 0 7 2 9 7 7 0 9 2 3 7 7 6 7 9 6 5 7 9 7 6 5 9 9 9 9 9 9 9 9 9 9 9 2 0 5 9 7 7 7 9 6 7 2 7 7 7 9 5 2 6 9 0 7 7 3 6 7 9 7 0 7 9 7 5 3 Output: 7 7 7 9 7 7 7 9 7 7 7 7 7 7 9 7 7 7 9 7 7 7 7 7 7 9 7 7 7 9 7 7 7 9 9 9 9 9 9 9 9 9 9 9 5 5 5 9 2 2 2 9 6 6 6 5 5 5 9 2 2 2 9 6 6 6 5 5 5 9 2 2 2 9 6 6 6 9 9 9 9 9 9 9 9 9 9 9 7 7 7 9 0 0 0 9 7 7 7 7 7 7 9 0 0 0 9 7 7 7 7 7 7 9 0 0 0 9 7 7 7 Example 4: Input: 2 7 5 9 5 7 6 9 6 7 2 7 7 0 9 7 7 7 9 0 3 7 6 3 7 9 3 2 0 9 7 5 7 9 9 9 9 9 9 9 9 9 9 9 5 7 6 9 7 7 5 9 7 2 7 0 7 3 9 7 6 7 9 3 7 6 7 2 7 9 2 7 0 9 5 7 0 9 9 9 9 9 9 9 9 9 9 9 7 5 2 9 7 6 3 9 2 3 0 0 7 7 9 0 7 7 9 7 7 5 7 6 3 9 5 7 2 9 7 6 7 Output: 7 7 7 9 7 7 7 9 5 5 5 7 7 7 9 7 7 7 9 5 5 5 7 7 7 9 7 7 7 9 5 5 5 9 9 9 9 9 9 9 9 9 9 9 7 7 7 9 6 6 6 9 7 7 7 7 7 7 9 6 6 6 9 7 7 7 7 7 7 9 6 6 6 9 7 7 7 9 9 9 9 9 9 9 9 9 9 9 2 2 2 9 7 7 7 9 0 0 0 2 2 2 9 7 7 7 9 0 0 0 2 2 2 9 7 7 7 9 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 7 2 9 2 6 7 9 7 7 7 5 7 7 9 7 5 3 9 2 0 7 7 6 3 9 7 0 7 9 5 6 7 9 9 9 9 9 9 9 9 9 9 9 7 2 5 9 7 3 7 9 7 7 2 6 3 7 9 6 5 7 9 0 7 7 7 0 7 9 7 2 0 9 5 6 3 9 9 9 9 9 9 9 9 9 9 9 7 3 0 9 6 7 3 9 7 5 6 5 7 6 9 0 7 7 9 2 7 7 7 2 7 9 2 5 7 9 3 0 7
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 7 7 9 7 7 7 9 7 7 7\n7 7 7 9 7 7 7 9 7 7 7\n7 7 7 9 7 7 7 9 7 7 7\n9 9 9 9 9 9 9 9 9 9 9\n2 2 2 9 0 0 0 9 7 7 7\n2 2 2 9 0 0 0 9 7 7 7\n2 2 2 9 0 0 0 9 7 7 7\n9 9 9 9 9 9 9 9 9 9 9\n5 5 5 9 6 6 6 9 7 7 7\n5 5 5 9 6 6 6 9 7 7 7\n5 5 5 9 6 6 6 9 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 0 9 6 7 0 9 7 2 3\n7 5 7 9 3 7 2 9 6 7 7\n7 6 7 9 7 5 7 9 0 7 5\n9 9 9 9 9 9 9 9 9 9 9\n7 5 6 9 0 7 6 9 7 5 0\n0 7 7 9 2 7 3 9 2 7 6\n2 3 7 9 7 5 7 9 7 3 7\n9 9 9 9 9 9 9 9 9 9 9\n7 6 3 9 7 0 7 9 7 7 2\n7 7 7 9 5 7 6 9 0 7 6\n5 0 2 9 3 7 2 9 7 3 5\nOutput:\n2 2 2 9 7 7 7 9 0 0 0\n2 2 2 9 7 7 7 9 0 0 0\n2 2 2 9 7 7 7 9 0 0 0\n9 9 9 9 9 9 9 9 9 9 9\n7 7 7 9 5 5 5 9 7 7 7\n7 7 7 9 5 5 5 9 7 7 7\n7 7 7 9 5 5 5 9 7 7 7\n9 9 9 9 9 9 9 9 9 9 9\n7 7 7 9 6 6 6 9 7 7 7\n7 7 7 9 6 6 6 9 7 7 7\n7 7 7 9 6 6 6 9 7 7 7\n\nExample 2:\n\nInput:\n7 0 7 9 7 5 6 9 0 7 3\n6 7 2 9 2 7 0 9 6 7 5\n7 5 3 9 7 3 7 9 7 2 7\n9 9 9 9 9 9 9 9 9 9 9\n7 2 7 9 5 2 7 9 7 7 2\n0 3 5 9 7 7 3 9 6 0 7\n6 7 7 9 6 0 7 9 7 5 7\n9 9 9 9 9 9 9 9 9 9 9\n7 7 6 9 6 7 3 9 7 2 5\n0 7 7 9 5 7 0 9 7 3 7\n2 3 5 9 7 2 7 9 6 7 0\nOutput:\n7 7 7 9 7 7 7 9 2 2 2\n7 7 7 9 7 7 7 9 2 2 2\n7 7 7 9 7 7 7 9 2 2 2\n9 9 9 9 9 9 9 9 9 9 9\n6 6 6 9 0 0 0 9 7 7 7\n6 6 6 9 0 0 0 9 7 7 7\n6 6 6 9 0 0 0 9 7 7 7\n9 9 9 9 9 9 9 9 9 9 9\n7 7 7 9 5 5 5 9 7 7 7\n7 7 7 9 5 5 5 9 7 7 7\n7 7 7 9 5 5 5 9 7 7 7\n\nExample 3:\n\nInput:\n6 7 0 9 7 7 7 9 7 6 5\n3 7 2 9 5 3 6 9 0 7 2\n5 7 7 9 2 0 7 9 7 3 7\n9 9 9 9 9 9 9 9 9 9 9\n5 3 7 9 3 7 2 9 0 7 7\n0 7 2 9 7 7 0 9 2 3 7\n7 6 7 9 6 5 7 9 7 6 5\n9 9 9 9 9 9 9 9 9 9 9\n2 0 5 9 7 7 7 9 6 7 2\n7 7 7 9 5 2 6 9 0 7 7\n3 6 7 9 7 0 7 9 7 5 3\nOutput:\n7 7 7 9 7 7 7 9 7 7 7\n7 7 7 9 7 7 7 9 7 7 7\n7 7 7 9 7 7 7 9 7 7 7\n9 9 9 9 9 9 9 9 9 9 9\n5 5 5 9 2 2 2 9 6 6 6\n5 5 5 9 2 2 2 9 6 6 6\n5 5 5 9 2 2 2 9 6 6 6\n9 9 9 9 9 9 9 9 9 9 9\n7 7 7 9 0 0 0 9 7 7 7\n7 7 7 9 0 0 0 9 7 7 7\n7 7 7 9 0 0 0 9 7 7 7\n\nExample 4:\n\nInput:\n2 7 5 9 5 7 6 9 6 7 2\n7 7 0 9 7 7 7 9 0 3 7\n6 3 7 9 3 2 0 9 7 5 7\n9 9 9 9 9 9 9 9 9 9 9\n5 7 6 9 7 7 5 9 7 2 7\n0 7 3 9 7 6 7 9 3 7 6\n7 2 7 9 2 7 0 9 5 7 0\n9 9 9 9 9 9 9 9 9 9 9\n7 5 2 9 7 6 3 9 2 3 0\n0 7 7 9 0 7 7 9 7 7 5\n7 6 3 9 5 7 2 9 7 6 7\nOutput:\n7 7 7 9 7 7 7 9 5 5 5\n7 7 7 9 7 7 7 9 5 5 5\n7 7 7 9 7 7 7 9 5 5 5\n9 9 9 9 9 9 9 9 9 9 9\n7 7 7 9 6 6 6 9 7 7 7\n7 7 7 9 6 6 6 9 7 7 7\n7 7 7 9 6 6 6 9 7 7 7\n9 9 9 9 9 9 9 9 9 9 9\n2 2 2 9 7 7 7 9 0 0 0\n2 2 2 9 7 7 7 9 0 0 0\n2 2 2 9 7 7 7 9 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 7 2 9 2 6 7 9 7 7 7\n5 7 7 9 7 5 3 9 2 0 7\n7 6 3 9 7 0 7 9 5 6 7\n9 9 9 9 9 9 9 9 9 9 9\n7 2 5 9 7 3 7 9 7 7 2\n6 3 7 9 6 5 7 9 0 7 7\n7 0 7 9 7 2 0 9 5 6 3\n9 9 9 9 9 9 9 9 9 9 9\n7 3 0 9 6 7 3 9 7 5 6\n5 7 6 9 0 7 7 9 2 7 7\n7 2 7 9 2 5 7 9 3 0 7\n", "answer": "7 7 7 9 7 7 7 9 7 7 7\n7 7 7 9 7 7 7 9 7 7 7\n7 7 7 9 7 7 7 9 7 7 7\n9 9 9 9 9 9 9 9 9 9 9\n2 2 2 9 0 0 0 9 7 7 7\n2 2 2 9 0 0 0 9 7 7 7\n2 2 2 9 0 0 0 9 7 7 7\n9 9 9 9 9 9 9 9 9 9 9\n5 5 5 9 6 6 6 9 7 7 7\n5 5 5 9 6 6 6 9 7 7 7\n5 5 5 9 6 6 6 9 7 7 7", "metadata": {"source_dataset": "arc_agi", "source_index": 193, "input": [[0, 7, 2, 9, 2, 6, 7, 9, 7, 7, 7], [5, 7, 7, 9, 7, 5, 3, 9, 2, 0, 7], [7, 6, 3, 9, 7, 0, 7, 9, 5, 6, 7], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 2, 5, 9, 7, 3, 7, 9, 7, 7, 2], [6, 3, 7, 9, 6, 5, 7, 9, 0, 7, 7], [7, 0, 7, 9, 7, 2, 0, 9, 5, 6, 3], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 3, 0, 9, 6, 7, 3, 9, 7, 5, 6], [5, 7, 6, 9, 0, 7, 7, 9, 2, 7, 7], [7, 2, 7, 9, 2, 5, 7, 9, 3, 0, 7]], "output": [[7, 7, 7, 9, 7, 7, 7, 9, 7, 7, 7], [7, 7, 7, 9, 7, 7, 7, 9, 7, 7, 7], [7, 7, 7, 9, 7, 7, 7, 9, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [2, 2, 2, 9, 0, 0, 0, 9, 7, 7, 7], [2, 2, 2, 9, 0, 0, 0, 9, 7, 7, 7], [2, 2, 2, 9, 0, 0, 0, 9, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 9, 6, 6, 6, 9, 7, 7, 7], [5, 5, 5, 9, 6, 6, 6, 9, 7, 7, 7], [5, 5, 5, 9, 6, 6, 6, 9, 7, 7, 7]], "task_id": "09629e4f", "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": 193, "input": [[0, 7, 2, 9, 2, 6, 7, 9, 7, 7, 7], [5, 7, 7, 9, 7, 5, 3, 9, 2, 0, 7], [7, 6, 3, 9, 7, 0, 7, 9, 5, 6, 7], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 2, 5, 9, 7, 3, 7, 9, 7, 7, 2], [6, 3, 7, 9, 6, 5, 7, 9, 0, 7, 7], [7, 0, 7, 9, 7, 2, 0, 9, 5, 6, 3], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [7, 3, 0, 9, 6, 7, 3, 9, 7, 5, 6], [5, 7, 6, 9, 0, 7, 7, 9, 2, 7, 7], [7, 2, 7, 9, 2, 5, 7, 9, 3, 0, 7]], "output": [[7, 7, 7, 9, 7, 7, 7, 9, 7, 7, 7], [7, 7, 7, 9, 7, 7, 7, 9, 7, 7, 7], [7, 7, 7, 9, 7, 7, 7, 9, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [2, 2, 2, 9, 0, 0, 0, 9, 7, 7, 7], [2, 2, 2, 9, 0, 0, 0, 9, 7, 7, 7], [2, 2, 2, 9, 0, 0, 0, 9, 7, 7, 7], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [5, 5, 5, 9, 6, 6, 6, 9, 7, 7, 7], [5, 5, 5, 9, 6, 6, 6, 9, 7, 7, 7], [5, 5, 5, 9, 6, 6, 6, 9, 7, 7, 7]], "task_id": "09629e4f", "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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 2 2 2 1 1 1 2 2 2 2 2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2 2 1 1 1 2 2 2 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 Output: 1 2 1 2 2 2 1 2 1 2 1 2 2 2 2 2 1 2 1 2 1 2 2 2 1 2 1 2 2 2 1 2 1 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 1 2 1 2 2 2 1 2 1 2 2 2 1 2 1 2 1 2 2 2 2 2 1 2 1 2 1 2 2 2 1 2 1 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 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2 2 1 1 1 2 2 2 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 1 2 2 2 2 2 2 2 1 2 1 2 2 2 2 2 2 1 2 1 2 2 2 2 1 2 2 2 2 2 1 2 1 2 1 2 2 2 1 2 1 1 2 1 2 2 2 1 2 1 2 1 2 2 2 2 2 1 2 1 2 1 2 2 2 1 2 1 1 2 1 2 2 2 1 2 1 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 2 2 2 2 2 2 2 2 2 2 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 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2 2 1 1 1 2 2 2 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 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: 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 1 1 2 1 2 1 1 2 1 1 2 1 1 1 1 1 1 1 2 2 2 1 1 2 1 1 2 2 2 2 1 2 1 1 2 1 2 2 2 1 1 1 2 2 2 1 1 1 1 1 2 2 2 2 1 1 2 1 2 1 2 2 2 1 2 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: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 2 2 2 1 1 1 2 2 2 2 2 2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2 2 2 1 1 1 2 2 2 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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": "1 2 1 2 2 2 1 2 1\n1 1 2 2 2 2 1 1 2\n1 2 1 2 2 2 1 2 1\n1 2 1 1 2 1 2 2 2\n1 1 2 1 1 2 2 2 2\n1 2 1 1 2 1 2 2 2\n1 2 1 2 2 2 1 2 1\n1 1 2 2 2 2 1 1 2\n1 2 1 2 2 2 1 2 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 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\n2 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\n2 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\n2 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\n2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2\n2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2\n2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2\n2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2\n2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2\n2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2\n2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2\n2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2\n2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\nOutput:\n1 2 1 2 2 2 1 2 1\n2 1 2 2 2 2 2 1 2\n1 2 1 2 2 2 1 2 1\n2 2 2 1 2 1 2 2 2\n2 2 2 2 1 2 2 2 2\n2 2 2 1 2 1 2 2 2\n1 2 1 2 2 2 1 2 1\n2 1 2 2 2 2 2 1 2\n1 2 1 2 2 2 1 2 1\n\nExample 2:\n\nInput:\n2 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\n2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2\n2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2\n2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2\n2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2\n2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2\n2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2\n2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2\n2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2\n2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2\n2 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\n2 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\n2 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\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\nOutput:\n2 2 2 2 1 2 2 2 2\n2 2 2 1 2 1 2 2 2\n2 2 2 1 2 1 2 2 2\n2 1 2 2 2 2 2 1 2\n1 2 1 2 2 2 1 2 1\n1 2 1 2 2 2 1 2 1\n2 1 2 2 2 2 2 1 2\n1 2 1 2 2 2 1 2 1\n1 2 1 2 2 2 1 2 1\n\nExample 3:\n\nInput:\n2 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\n2 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\n2 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\n2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2\n2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2\n2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2\n2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2\n2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2\n2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2\n2 2 2 2 1 1 1 2 2 2 1 1 1 2 2 2\n2 2 2 2 1 1 1 2 2 2 1 1 1 2 2 2\n2 2 2 2 1 1 1 2 2 2 1 1 1 2 2 2\n2 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\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\nOutput:\n1 1 1 1 1 1 1 1 1\n1 1 2 1 1 2 1 1 2\n1 2 1 1 2 1 1 2 1\n1 1 1 1 1 1 2 2 2\n1 1 2 1 1 2 2 2 2\n1 2 1 1 2 1 2 2 2\n1 1 1 2 2 2 1 1 1\n1 1 2 2 2 2 1 1 2\n1 2 1 2 2 2 1 2 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:\n2 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\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 2 2\n2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 2 2\n2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 2 2\n2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2\n2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2\n2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2\n2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 2 2\n2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 2 2\n2 2 2 1 1 1 2 2 2 1 1 1 2 2 2 2 2\n2 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\n2 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\n2 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\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n", "answer": "1 2 1 2 2 2 1 2 1\n1 1 2 2 2 2 1 1 2\n1 2 1 2 2 2 1 2 1\n1 2 1 1 2 1 2 2 2\n1 1 2 1 1 2 2 2 2\n1 2 1 1 2 1 2 2 2\n1 2 1 2 2 2 1 2 1\n1 1 2 2 2 2 1 1 2\n1 2 1 2 2 2 1 2 1", "metadata": {"source_dataset": "arc_agi", "source_index": 194, "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, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2], [2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2], [2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2], [2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2], [2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2], [2, 2, 2, 1, 1, 1, 2, 2, 2, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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": [[1, 2, 1, 2, 2, 2, 1, 2, 1], [1, 1, 2, 2, 2, 2, 1, 1, 2], [1, 2, 1, 2, 2, 2, 1, 2, 1], [1, 2, 1, 1, 2, 1, 2, 2, 2], [1, 1, 2, 1, 1, 2, 2, 2, 2], [1, 2, 1, 1, 2, 1, 2, 2, 2], [1, 2, 1, 2, 2, 2, 1, 2, 1], [1, 1, 2, 2, 2, 2, 1, 1, 2], [1, 2, 1, 2, 2, 2, 1, 2, 1]], "task_id": "80af3007", "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": 194, "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, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2], [2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2], [2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2], [2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2], [2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2], [2, 2, 2, 1, 1, 1, 2, 2, 2, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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": [[1, 2, 1, 2, 2, 2, 1, 2, 1], [1, 1, 2, 2, 2, 2, 1, 1, 2], [1, 2, 1, 2, 2, 2, 1, 2, 1], [1, 2, 1, 1, 2, 1, 2, 2, 2], [1, 1, 2, 1, 1, 2, 2, 2, 2], [1, 2, 1, 1, 2, 1, 2, 2, 2], [1, 2, 1, 2, 2, 2, 1, 2, 1], [1, 1, 2, 2, 2, 2, 1, 1, 2], [1, 2, 1, 2, 2, 2, 1, 2, 1]], "task_id": "80af3007", "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 4 4 4 4 4 4 4 0 4 4 4 0 0 4 0 4 4 0 4 0 0 0 4 4 0 0 4 4 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 4 4 4 0 4 4 0 0 0 4 0 4 4 0 4 0 4 4 4 0 4 4 6 0 0 0 0 4 0 0 0 0 0 4 4 4 0 0 4 0 0 4 6 6 6 6 4 0 0 4 4 0 0 0 4 6 0 0 0 4 0 4 0 0 4 0 6 0 0 0 0 0 4 4 4 0 4 0 4 0 0 0 0 4 Output: 0 4 4 4 4 4 4 4 0 4 4 4 0 0 4 0 4 4 0 4 0 0 0 4 4 0 0 4 4 0 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 4 4 4 0 4 4 0 0 0 4 0 4 4 0 4 0 4 4 4 0 4 4 6 0 0 0 0 4 0 0 0 0 0 8 4 4 0 0 4 0 0 4 6 6 6 6 8 0 0 4 4 0 0 0 4 6 0 0 0 4 0 4 0 0 4 0 6 0 0 0 0 0 4 4 4 0 4 0 4 0 0 0 0 4 Example 2: Input: 0 0 4 4 0 0 0 0 4 4 0 0 0 4 0 0 4 0 0 0 0 4 0 0 0 4 4 0 0 0 4 4 0 0 0 4 0 0 4 0 0 0 4 0 0 0 4 0 0 0 0 4 4 4 6 4 0 4 4 0 0 0 4 4 0 0 0 0 0 4 4 0 4 0 4 0 0 4 4 0 0 4 0 4 0 4 4 0 0 0 0 0 0 0 4 0 4 0 0 0 0 4 4 0 4 0 0 4 0 0 4 4 6 4 6 4 6 6 0 0 0 4 4 0 0 0 0 0 4 0 4 0 4 4 6 4 0 4 0 0 4 4 4 0 0 0 0 0 0 0 4 0 4 4 6 0 4 0 4 0 0 0 0 4 0 4 0 0 4 0 4 4 4 0 6 4 4 0 4 0 0 0 0 0 4 6 0 4 0 4 4 0 0 0 0 0 0 0 4 0 4 4 4 0 0 4 4 4 0 4 0 4 0 0 0 0 4 4 4 0 4 0 4 0 0 6 0 0 0 0 0 4 4 0 0 4 0 0 0 0 4 4 6 6 6 4 6 6 6 4 0 0 0 0 4 0 0 0 0 0 4 0 0 4 4 4 4 4 0 4 0 4 0 4 4 0 4 0 4 4 4 4 0 4 4 4 0 0 0 0 4 4 0 0 0 4 0 4 4 0 4 0 0 4 0 6 0 4 0 0 0 0 0 0 4 4 0 4 0 4 0 0 0 0 0 4 4 4 0 0 4 4 0 4 0 4 4 0 4 0 0 4 0 4 4 0 0 0 0 0 4 4 4 4 0 0 4 0 0 4 4 0 0 4 0 4 0 4 0 0 4 0 4 0 4 0 4 0 0 0 0 0 0 4 4 0 4 0 4 4 0 0 0 0 0 0 0 4 0 0 0 4 4 0 4 0 4 0 0 0 4 4 0 0 4 0 0 4 4 0 0 4 0 0 0 0 4 0 4 0 4 4 0 4 0 0 0 4 4 4 Output: 0 0 4 4 0 0 0 0 4 4 0 0 0 4 0 0 4 0 0 0 0 4 0 0 0 4 4 0 0 0 4 4 0 0 0 4 0 0 4 0 0 0 4 0 0 0 4 0 0 0 0 4 4 4 6 4 0 4 4 0 0 0 4 4 0 0 0 0 0 4 4 0 4 0 8 0 0 4 4 0 0 4 0 4 0 4 4 0 0 0 0 0 0 0 8 0 4 0 0 0 0 4 4 0 4 0 0 4 0 0 4 8 6 8 6 8 6 6 0 0 0 4 4 0 0 0 0 0 4 0 4 0 4 4 6 4 0 4 0 0 4 4 4 0 0 0 0 0 0 0 4 0 4 4 6 0 4 0 4 0 0 0 0 4 0 4 0 0 4 0 4 4 4 0 6 4 4 0 4 0 0 0 0 0 4 6 0 4 0 4 4 0 0 0 0 0 0 0 4 0 4 4 4 0 0 8 4 4 0 4 0 4 0 0 0 0 4 4 4 0 4 0 4 0 0 6 0 0 0 0 0 4 4 0 0 4 0 0 0 0 4 4 6 6 6 8 6 6 6 4 0 0 0 0 4 0 0 0 0 0 4 0 0 4 4 8 4 4 0 4 0 4 0 4 4 0 4 0 4 4 4 4 0 4 4 8 0 0 0 0 4 4 0 0 0 4 0 4 4 0 4 0 0 4 0 6 0 4 0 0 0 0 0 0 4 4 0 4 0 4 0 0 0 0 0 4 4 4 0 0 4 4 0 4 0 4 4 0 4 0 0 4 0 4 4 0 0 0 0 0 4 4 4 4 0 0 4 0 0 4 4 0 0 4 0 4 0 4 0 0 4 0 4 0 4 0 4 0 0 0 0 0 0 4 4 0 4 0 4 4 0 0 0 0 0 0 0 4 0 0 0 4 4 0 4 0 4 0 0 0 4 4 0 0 4 0 0 4 4 0 0 4 0 0 0 0 4 0 4 0 4 4 0 4 0 0 0 4 4 4 Example 3: Input: 0 0 0 4 4 4 4 0 4 4 4 0 0 4 0 4 4 0 0 0 4 4 4 0 0 4 4 6 6 6 4 0 4 4 0 4 4 4 4 4 0 0 4 0 4 6 4 4 0 0 4 0 4 4 0 4 4 4 0 0 0 4 0 4 4 0 0 4 4 0 0 0 4 4 0 4 0 0 0 4 4 0 4 4 4 4 0 4 4 4 0 0 4 0 4 0 4 4 4 0 0 4 4 4 0 4 0 0 4 4 0 0 4 4 4 4 4 4 0 0 0 4 4 4 0 0 4 4 4 0 4 0 0 4 4 0 4 0 0 4 0 4 0 0 4 4 4 4 0 4 4 0 0 0 4 4 4 0 0 0 0 0 4 4 0 4 4 0 6 4 0 4 4 4 4 0 0 4 0 0 0 0 0 4 4 4 6 0 4 4 4 4 0 4 4 4 0 4 4 0 0 4 4 6 4 4 6 4 0 4 0 4 0 0 4 0 4 4 4 4 4 4 6 4 4 4 0 4 4 4 4 4 0 0 0 4 4 4 0 0 6 4 4 4 4 0 0 0 4 0 0 4 0 4 4 0 0 0 4 4 4 4 4 4 0 4 4 4 4 0 0 4 0 0 0 4 4 0 0 4 4 4 4 4 4 0 0 4 4 4 4 4 4 0 0 4 0 4 4 4 0 4 0 0 4 4 4 0 0 0 0 4 4 4 0 0 0 4 0 0 0 0 0 4 0 4 0 0 0 4 0 4 0 0 4 0 0 4 0 0 4 4 Output: 0 0 0 4 4 4 4 0 4 8 4 0 0 4 0 4 4 0 0 0 4 4 4 0 0 8 8 6 6 6 4 0 4 4 0 4 4 4 4 4 0 0 4 0 4 6 4 4 0 0 4 0 4 4 0 4 4 4 0 0 0 4 0 8 4 0 0 4 4 0 0 0 4 4 0 4 0 0 0 4 4 0 4 4 4 4 0 4 4 4 0 0 4 0 4 0 4 4 4 0 0 4 4 4 0 4 0 0 4 4 0 0 4 4 4 4 4 4 0 0 0 4 4 4 0 0 4 4 4 0 4 0 0 4 4 0 4 0 0 4 0 4 0 0 4 4 4 4 0 4 4 0 0 0 4 4 4 0 0 0 0 0 4 4 0 4 4 0 6 4 0 4 4 4 4 0 0 4 0 0 0 0 0 4 4 4 6 0 4 4 4 4 0 4 4 4 0 4 4 0 0 4 8 6 8 8 6 4 0 4 0 4 0 0 4 0 4 4 4 4 4 4 6 4 4 4 0 4 4 4 4 4 0 0 0 4 4 4 0 0 6 4 4 4 4 0 0 0 4 0 0 4 0 4 4 0 0 0 4 4 4 4 4 4 0 4 4 4 4 0 0 4 0 0 0 4 4 0 0 4 4 4 4 4 4 0 0 4 4 4 4 4 4 0 0 4 0 4 4 4 0 4 0 0 4 4 4 0 0 0 0 4 4 4 0 0 0 4 0 0 0 0 0 4 0 4 0 0 0 4 0 4 0 0 4 0 0 4 0 0 4 4 Example 4: Input: 0 4 0 4 0 4 0 0 4 4 4 0 0 4 4 0 0 0 0 4 4 4 4 0 4 4 0 0 0 0 0 0 0 4 4 0 4 0 0 4 0 0 0 0 0 0 4 0 0 0 4 4 4 0 0 4 4 4 4 4 4 4 4 4 4 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 4 4 4 6 4 0 0 4 0 0 0 0 4 0 4 0 4 4 4 0 4 0 0 4 4 0 4 0 4 4 0 4 4 4 4 4 0 4 0 0 0 4 6 6 6 4 0 0 4 4 0 0 0 4 4 4 4 0 4 4 4 4 4 6 4 4 4 4 4 4 0 4 4 4 6 6 4 4 0 4 4 0 0 6 4 0 4 4 0 4 0 4 0 0 6 4 0 4 4 0 0 4 4 0 4 0 4 4 4 4 4 0 0 4 4 0 4 4 4 4 4 0 0 4 0 4 0 4 4 0 4 4 4 4 4 4 4 0 0 4 0 0 4 4 4 4 4 0 0 4 4 4 4 0 0 4 4 4 0 0 0 4 0 0 0 0 4 4 4 6 0 4 4 4 0 0 0 4 4 0 4 0 0 4 0 0 4 4 0 4 0 4 0 4 4 0 0 4 4 0 0 0 0 0 4 4 0 4 4 6 4 4 0 4 0 4 4 0 0 4 0 4 4 4 4 0 0 0 4 6 0 4 0 4 0 0 0 4 0 4 0 0 4 4 0 0 4 0 4 6 0 4 0 0 4 4 0 0 0 0 4 0 4 0 0 4 4 4 4 0 4 4 0 0 4 4 0 0 0 4 4 4 4 0 0 0 0 0 4 0 0 4 0 4 0 0 4 4 0 4 0 4 4 0 0 4 4 4 4 4 4 0 0 4 0 0 0 4 4 Output: 0 4 0 4 0 4 0 0 4 4 4 0 0 4 4 0 0 0 0 4 4 4 4 0 4 4 0 0 0 0 0 0 0 4 4 0 4 0 0 4 0 0 0 0 0 0 4 0 0 0 4 4 4 0 0 4 4 4 4 4 4 4 4 4 4 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 4 4 4 6 4 0 0 4 0 0 0 0 4 0 4 0 4 4 4 0 4 0 0 8 4 0 4 0 4 4 0 4 4 4 8 4 0 4 0 0 0 8 6 6 6 8 0 0 4 4 0 0 0 4 8 4 4 0 4 4 4 4 4 6 4 4 4 4 4 4 0 4 8 8 6 6 8 4 0 4 4 0 0 6 4 0 4 4 0 4 0 4 0 0 6 4 0 4 4 0 0 4 4 0 4 0 4 4 4 4 4 0 0 4 8 0 4 4 4 4 4 0 0 4 0 4 0 4 4 0 4 4 4 4 4 4 4 0 0 4 0 0 4 4 4 4 4 0 0 4 4 4 4 0 0 4 4 4 0 0 0 4 0 0 0 0 4 4 4 6 0 4 4 4 0 0 0 4 4 0 4 0 0 4 0 0 4 4 0 8 0 4 0 4 4 0 0 4 4 0 0 0 0 0 4 4 0 8 8 6 8 8 0 4 0 4 4 0 0 4 0 4 4 4 4 0 0 0 4 6 0 4 0 4 0 0 0 4 0 4 0 0 4 4 0 0 4 0 4 6 0 4 0 0 4 4 0 0 0 0 4 0 4 0 0 4 4 4 4 0 4 4 0 0 4 4 0 0 0 4 4 4 4 0 0 0 0 0 4 0 0 4 0 4 0 0 4 4 0 4 0 4 4 0 0 4 4 4 4 4 4 0 0 4 0 0 0 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: 0 0 0 0 0 0 4 4 4 0 0 0 4 0 4 4 4 4 4 4 4 0 0 4 0 4 0 4 0 0 4 4 0 4 0 4 0 4 0 0 0 4 0 0 0 0 4 0 0 4 0 4 0 0 4 4 4 4 4 0 4 4 4 0 0 4 4 4 4 0 4 4 0 0 0 4 0 4 4 0 6 0 4 0 4 4 4 0 4 4 4 4 0 0 4 0 0 4 4 6 4 4 0 0 4 4 0 4 4 6 6 6 4 0 4 0 4 4 4 6 6 0 0 0 0 0 4 4 6 4 0 0 4 4 0 0 4 6 4 0 0 4 0 4 4 0 4 6 0 4 4 0 0 4 0 0 6 4 4 0 4 4 0 4 0 4 4 4 4 0 4 4 4 0 4 4 4 4 0 0 0 4 4 4 4 4 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 4 4 0 4 4 0 0 4 0 0 4 4 0 4 0 4 6 0 4 0 0 0 0 0 6 0 4 0 4 4 0 4 0 0 4 4 4 4 0 4 4 4 4 6 0 0 4 4 0 4 0 0 4 4 6 4 6 4 0 4 4 4 6 4 4 0 0 0 0 4 0 0 0 4 0 4 0 4 4 4 4 6 0 0 4 0 4 4 4 0 0 4 4 4 0 4 4 4 0 4 6 4 0 0 0 4 4 4 4 0 0 0 4 4 4 0 4 4 0 4 4 4 0 0 0 0 0 4 4 0 0 4 0 0 0 0 0 0 0 4 4 0 0 0 4 0 4 4 4 4 0 0 0 4 0 0 0 4 0 0 4 4 4 4 4 4 4 0 4 0 4 0 4 4 4 0 0 4 4 4 4 4 4 4 0 4 4 4 0 4 4 0 0 4 4 4 4 0 0 4 4 0 0 0 4 0 0 0 0 4 4 4 0 4 4 0 4
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "0 0 0 0 0 0 4 4 4 0 0 0 4 0 4 4 4 4 4\n4 4 0 0 4 0 4 0 4 0 0 4 4 0 4 0 4 0 4\n0 0 0 4 0 0 0 0 4 0 0 4 0 4 0 0 4 4 4\n4 4 0 4 4 4 0 0 4 4 4 4 0 4 8 0 0 0 4\n0 4 4 0 6 0 4 0 4 4 4 0 4 4 8 4 0 0 4\n0 0 4 4 6 4 4 0 0 4 4 0 8 8 6 6 6 4 0\n4 0 8 8 8 6 6 0 0 0 0 0 4 4 6 4 0 0 4\n4 0 0 4 6 4 0 0 4 0 4 4 0 4 6 0 4 4 0\n0 4 0 0 6 4 4 0 4 4 0 4 0 4 4 4 4 0 4\n4 4 0 4 4 4 4 0 0 0 4 4 4 4 4 0 0 0 4\n0 0 0 0 0 0 0 0 4 0 0 4 4 0 4 4 0 0 4\n0 0 4 4 0 4 0 4 6 0 4 0 0 0 0 0 6 0 4\n0 4 4 0 4 0 0 4 8 4 4 0 4 4 4 4 6 0 0\n4 4 0 4 0 0 8 8 6 8 6 4 0 4 8 8 6 8 8\n0 0 0 0 4 0 0 0 8 0 4 0 4 4 4 4 6 0 0\n4 0 4 4 4 0 0 4 8 4 0 4 4 4 0 4 6 4 0\n0 0 4 4 4 4 0 0 0 4 4 4 0 4 4 0 4 4 4\n0 0 0 0 0 4 4 0 0 4 0 0 0 0 0 0 0 4 4\n0 0 0 4 0 4 4 4 4 0 0 0 4 0 0 0 4 0 0\n4 4 4 4 4 4 4 0 4 0 4 0 4 4 4 0 0 4 4\n4 4 4 4 4 0 4 4 4 0 4 4 0 0 4 4 4 4 0\n0 4 4 0 0 0 4 0 0 0 0 4 4 4 0 4 4 0 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:\n0 4 4 4 4 4 4 4 0 4 4\n4 0 0 4 0 4 4 0 4 0 0\n0 4 4 0 0 4 4 0 4 0 0\n0 0 0 0 4 0 0 0 0 0 0\n0 0 0 4 4 4 4 0 4 4 0\n0 0 4 0 4 4 0 4 0 4 4\n4 0 4 4 6 0 0 0 0 4 0\n0 0 0 0 4 4 4 0 0 4 0\n0 4 6 6 6 6 4 0 0 4 4\n0 0 0 4 6 0 0 0 4 0 4\n0 0 4 0 6 0 0 0 0 0 4\n4 4 0 4 0 4 0 0 0 0 4\nOutput:\n0 4 4 4 4 4 4 4 0 4 4\n4 0 0 4 0 4 4 0 4 0 0\n0 4 4 0 0 4 4 0 4 0 0\n0 0 0 0 4 0 0 0 0 0 0\n0 0 0 4 4 4 4 0 4 4 0\n0 0 4 0 4 4 0 4 0 4 4\n4 0 4 4 6 0 0 0 0 4 0\n0 0 0 0 8 4 4 0 0 4 0\n0 4 6 6 6 6 8 0 0 4 4\n0 0 0 4 6 0 0 0 4 0 4\n0 0 4 0 6 0 0 0 0 0 4\n4 4 0 4 0 4 0 0 0 0 4\n\nExample 2:\n\nInput:\n0 0 4 4 0 0 0 0 4 4 0 0 0 4 0 0 4 0 0 0\n0 4 0 0 0 4 4 0 0 0 4 4 0 0 0 4 0 0 4 0\n0 0 4 0 0 0 4 0 0 0 0 4 4 4 6 4 0 4 4 0\n0 0 4 4 0 0 0 0 0 4 4 0 4 0 4 0 0 4 4 0\n0 4 0 4 0 4 4 0 0 0 0 0 0 0 4 0 4 0 0 0\n0 4 4 0 4 0 0 4 0 0 4 4 6 4 6 4 6 6 0 0\n0 4 4 0 0 0 0 0 4 0 4 0 4 4 6 4 0 4 0 0\n4 4 4 0 0 0 0 0 0 0 4 0 4 4 6 0 4 0 4 0\n0 0 0 4 0 4 0 0 4 0 4 4 4 0 6 4 4 0 4 0\n0 0 0 0 4 6 0 4 0 4 4 0 0 0 0 0 0 0 4 0\n4 4 4 0 0 4 4 4 0 4 0 4 0 0 0 0 4 4 4 0\n4 0 4 0 0 6 0 0 0 0 0 4 4 0 0 4 0 0 0 0\n4 4 6 6 6 4 6 6 6 4 0 0 0 0 4 0 0 0 0 0\n4 0 0 4 4 4 4 4 0 4 0 4 0 4 4 0 4 0 4 4\n4 4 0 4 4 4 0 0 0 0 4 4 0 0 0 4 0 4 4 0\n4 0 0 4 0 6 0 4 0 0 0 0 0 0 4 4 0 4 0 4\n0 0 0 0 0 4 4 4 0 0 4 4 0 4 0 4 4 0 4 0\n0 4 0 4 4 0 0 0 0 0 4 4 4 4 0 0 4 0 0 4\n4 0 0 4 0 4 0 4 0 0 4 0 4 0 4 0 4 0 0 0\n0 0 0 4 4 0 4 0 4 4 0 0 0 0 0 0 0 4 0 0\n0 4 4 0 4 0 4 0 0 0 4 4 0 0 4 0 0 4 4 0\n0 4 0 0 0 0 4 0 4 0 4 4 0 4 0 0 0 4 4 4\nOutput:\n0 0 4 4 0 0 0 0 4 4 0 0 0 4 0 0 4 0 0 0\n0 4 0 0 0 4 4 0 0 0 4 4 0 0 0 4 0 0 4 0\n0 0 4 0 0 0 4 0 0 0 0 4 4 4 6 4 0 4 4 0\n0 0 4 4 0 0 0 0 0 4 4 0 4 0 8 0 0 4 4 0\n0 4 0 4 0 4 4 0 0 0 0 0 0 0 8 0 4 0 0 0\n0 4 4 0 4 0 0 4 0 0 4 8 6 8 6 8 6 6 0 0\n0 4 4 0 0 0 0 0 4 0 4 0 4 4 6 4 0 4 0 0\n4 4 4 0 0 0 0 0 0 0 4 0 4 4 6 0 4 0 4 0\n0 0 0 4 0 4 0 0 4 0 4 4 4 0 6 4 4 0 4 0\n0 0 0 0 4 6 0 4 0 4 4 0 0 0 0 0 0 0 4 0\n4 4 4 0 0 8 4 4 0 4 0 4 0 0 0 0 4 4 4 0\n4 0 4 0 0 6 0 0 0 0 0 4 4 0 0 4 0 0 0 0\n4 4 6 6 6 8 6 6 6 4 0 0 0 0 4 0 0 0 0 0\n4 0 0 4 4 8 4 4 0 4 0 4 0 4 4 0 4 0 4 4\n4 4 0 4 4 8 0 0 0 0 4 4 0 0 0 4 0 4 4 0\n4 0 0 4 0 6 0 4 0 0 0 0 0 0 4 4 0 4 0 4\n0 0 0 0 0 4 4 4 0 0 4 4 0 4 0 4 4 0 4 0\n0 4 0 4 4 0 0 0 0 0 4 4 4 4 0 0 4 0 0 4\n4 0 0 4 0 4 0 4 0 0 4 0 4 0 4 0 4 0 0 0\n0 0 0 4 4 0 4 0 4 4 0 0 0 0 0 0 0 4 0 0\n0 4 4 0 4 0 4 0 0 0 4 4 0 0 4 0 0 4 4 0\n0 4 0 0 0 0 4 0 4 0 4 4 0 4 0 0 0 4 4 4\n\nExample 3:\n\nInput:\n0 0 0 4 4 4 4 0 4 4 4 0 0 4 0 4 4 0\n0 0 4 4 4 0 0 4 4 6 6 6 4 0 4 4 0 4\n4 4 4 4 0 0 4 0 4 6 4 4 0 0 4 0 4 4\n0 4 4 4 0 0 0 4 0 4 4 0 0 4 4 0 0 0\n4 4 0 4 0 0 0 4 4 0 4 4 4 4 0 4 4 4\n0 0 4 0 4 0 4 4 4 0 0 4 4 4 0 4 0 0\n4 4 0 0 4 4 4 4 4 4 0 0 0 4 4 4 0 0\n4 4 4 0 4 0 0 4 4 0 4 0 0 4 0 4 0 0\n4 4 4 4 0 4 4 0 0 0 4 4 4 0 0 0 0 0\n4 4 0 4 4 0 6 4 0 4 4 4 4 0 0 4 0 0\n0 0 0 4 4 4 6 0 4 4 4 4 0 4 4 4 0 4\n4 0 0 4 4 6 4 4 6 4 0 4 0 4 0 0 4 0\n4 4 4 4 4 4 6 4 4 4 0 4 4 4 4 4 0 0\n0 4 4 4 0 0 6 4 4 4 4 0 0 0 4 0 0 4\n0 4 4 0 0 0 4 4 4 4 4 4 0 4 4 4 4 0\n0 4 0 0 0 4 4 0 0 4 4 4 4 4 4 0 0 4\n4 4 4 4 4 0 0 4 0 4 4 4 0 4 0 0 4 4\n4 0 0 0 0 4 4 4 0 0 0 4 0 0 0 0 0 4\n0 4 0 0 0 4 0 4 0 0 4 0 0 4 0 0 4 4\nOutput:\n0 0 0 4 4 4 4 0 4 8 4 0 0 4 0 4 4 0\n0 0 4 4 4 0 0 8 8 6 6 6 4 0 4 4 0 4\n4 4 4 4 0 0 4 0 4 6 4 4 0 0 4 0 4 4\n0 4 4 4 0 0 0 4 0 8 4 0 0 4 4 0 0 0\n4 4 0 4 0 0 0 4 4 0 4 4 4 4 0 4 4 4\n0 0 4 0 4 0 4 4 4 0 0 4 4 4 0 4 0 0\n4 4 0 0 4 4 4 4 4 4 0 0 0 4 4 4 0 0\n4 4 4 0 4 0 0 4 4 0 4 0 0 4 0 4 0 0\n4 4 4 4 0 4 4 0 0 0 4 4 4 0 0 0 0 0\n4 4 0 4 4 0 6 4 0 4 4 4 4 0 0 4 0 0\n0 0 0 4 4 4 6 0 4 4 4 4 0 4 4 4 0 4\n4 0 0 4 8 6 8 8 6 4 0 4 0 4 0 0 4 0\n4 4 4 4 4 4 6 4 4 4 0 4 4 4 4 4 0 0\n0 4 4 4 0 0 6 4 4 4 4 0 0 0 4 0 0 4\n0 4 4 0 0 0 4 4 4 4 4 4 0 4 4 4 4 0\n0 4 0 0 0 4 4 0 0 4 4 4 4 4 4 0 0 4\n4 4 4 4 4 0 0 4 0 4 4 4 0 4 0 0 4 4\n4 0 0 0 0 4 4 4 0 0 0 4 0 0 0 0 0 4\n0 4 0 0 0 4 0 4 0 0 4 0 0 4 0 0 4 4\n\nExample 4:\n\nInput:\n0 4 0 4 0 4 0 0 4 4 4 0 0 4 4 0 0 0 0 4\n4 4 4 0 4 4 0 0 0 0 0 0 0 4 4 0 4 0 0 4\n0 0 0 0 0 0 4 0 0 0 4 4 4 0 0 4 4 4 4 4\n4 4 4 4 4 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0\n0 4 4 4 6 4 0 0 4 0 0 0 0 4 0 4 0 4 4 4\n0 4 0 0 4 4 0 4 0 4 4 0 4 4 4 4 4 0 4 0\n0 0 4 6 6 6 4 0 0 4 4 0 0 0 4 4 4 4 0 4\n4 4 4 4 6 4 4 4 4 4 4 0 4 4 4 6 6 4 4 0\n4 4 0 0 6 4 0 4 4 0 4 0 4 0 0 6 4 0 4 4\n0 0 4 4 0 4 0 4 4 4 4 4 0 0 4 4 0 4 4 4\n4 4 0 0 4 0 4 0 4 4 0 4 4 4 4 4 4 4 0 0\n4 0 0 4 4 4 4 4 0 0 4 4 4 4 0 0 4 4 4 0\n0 0 4 0 0 0 0 4 4 4 6 0 4 4 4 0 0 0 4 4\n0 4 0 0 4 0 0 4 4 0 4 0 4 0 4 4 0 0 4 4\n0 0 0 0 0 4 4 0 4 4 6 4 4 0 4 0 4 4 0 0\n4 0 4 4 4 4 0 0 0 4 6 0 4 0 4 0 0 0 4 0\n4 0 0 4 4 0 0 4 0 4 6 0 4 0 0 4 4 0 0 0\n0 4 0 4 0 0 4 4 4 4 0 4 4 0 0 4 4 0 0 0\n4 4 4 4 0 0 0 0 0 4 0 0 4 0 4 0 0 4 4 0\n4 0 4 4 0 0 4 4 4 4 4 4 0 0 4 0 0 0 4 4\nOutput:\n0 4 0 4 0 4 0 0 4 4 4 0 0 4 4 0 0 0 0 4\n4 4 4 0 4 4 0 0 0 0 0 0 0 4 4 0 4 0 0 4\n0 0 0 0 0 0 4 0 0 0 4 4 4 0 0 4 4 4 4 4\n4 4 4 4 4 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0\n0 4 4 4 6 4 0 0 4 0 0 0 0 4 0 4 0 4 4 4\n0 4 0 0 8 4 0 4 0 4 4 0 4 4 4 8 4 0 4 0\n0 0 8 6 6 6 8 0 0 4 4 0 0 0 4 8 4 4 0 4\n4 4 4 4 6 4 4 4 4 4 4 0 4 8 8 6 6 8 4 0\n4 4 0 0 6 4 0 4 4 0 4 0 4 0 0 6 4 0 4 4\n0 0 4 4 0 4 0 4 4 4 4 4 0 0 4 8 0 4 4 4\n4 4 0 0 4 0 4 0 4 4 0 4 4 4 4 4 4 4 0 0\n4 0 0 4 4 4 4 4 0 0 4 4 4 4 0 0 4 4 4 0\n0 0 4 0 0 0 0 4 4 4 6 0 4 4 4 0 0 0 4 4\n0 4 0 0 4 0 0 4 4 0 8 0 4 0 4 4 0 0 4 4\n0 0 0 0 0 4 4 0 8 8 6 8 8 0 4 0 4 4 0 0\n4 0 4 4 4 4 0 0 0 4 6 0 4 0 4 0 0 0 4 0\n4 0 0 4 4 0 0 4 0 4 6 0 4 0 0 4 4 0 0 0\n0 4 0 4 0 0 4 4 4 4 0 4 4 0 0 4 4 0 0 0\n4 4 4 4 0 0 0 0 0 4 0 0 4 0 4 0 0 4 4 0\n4 0 4 4 0 0 4 4 4 4 4 4 0 0 4 0 0 0 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:\n0 0 0 0 0 0 4 4 4 0 0 0 4 0 4 4 4 4 4\n4 4 0 0 4 0 4 0 4 0 0 4 4 0 4 0 4 0 4\n0 0 0 4 0 0 0 0 4 0 0 4 0 4 0 0 4 4 4\n4 4 0 4 4 4 0 0 4 4 4 4 0 4 4 0 0 0 4\n0 4 4 0 6 0 4 0 4 4 4 0 4 4 4 4 0 0 4\n0 0 4 4 6 4 4 0 0 4 4 0 4 4 6 6 6 4 0\n4 0 4 4 4 6 6 0 0 0 0 0 4 4 6 4 0 0 4\n4 0 0 4 6 4 0 0 4 0 4 4 0 4 6 0 4 4 0\n0 4 0 0 6 4 4 0 4 4 0 4 0 4 4 4 4 0 4\n4 4 0 4 4 4 4 0 0 0 4 4 4 4 4 0 0 0 4\n0 0 0 0 0 0 0 0 4 0 0 4 4 0 4 4 0 0 4\n0 0 4 4 0 4 0 4 6 0 4 0 0 0 0 0 6 0 4\n0 4 4 0 4 0 0 4 4 4 4 0 4 4 4 4 6 0 0\n4 4 0 4 0 0 4 4 6 4 6 4 0 4 4 4 6 4 4\n0 0 0 0 4 0 0 0 4 0 4 0 4 4 4 4 6 0 0\n4 0 4 4 4 0 0 4 4 4 0 4 4 4 0 4 6 4 0\n0 0 4 4 4 4 0 0 0 4 4 4 0 4 4 0 4 4 4\n0 0 0 0 0 4 4 0 0 4 0 0 0 0 0 0 0 4 4\n0 0 0 4 0 4 4 4 4 0 0 0 4 0 0 0 4 0 0\n4 4 4 4 4 4 4 0 4 0 4 0 4 4 4 0 0 4 4\n4 4 4 4 4 0 4 4 4 0 4 4 0 0 4 4 4 4 0\n0 4 4 0 0 0 4 0 0 0 0 4 4 4 0 4 4 0 4\n", "answer": "0 0 0 0 0 0 4 4 4 0 0 0 4 0 4 4 4 4 4\n4 4 0 0 4 0 4 0 4 0 0 4 4 0 4 0 4 0 4\n0 0 0 4 0 0 0 0 4 0 0 4 0 4 0 0 4 4 4\n4 4 0 4 4 4 0 0 4 4 4 4 0 4 8 0 0 0 4\n0 4 4 0 6 0 4 0 4 4 4 0 4 4 8 4 0 0 4\n0 0 4 4 6 4 4 0 0 4 4 0 8 8 6 6 6 4 0\n4 0 8 8 8 6 6 0 0 0 0 0 4 4 6 4 0 0 4\n4 0 0 4 6 4 0 0 4 0 4 4 0 4 6 0 4 4 0\n0 4 0 0 6 4 4 0 4 4 0 4 0 4 4 4 4 0 4\n4 4 0 4 4 4 4 0 0 0 4 4 4 4 4 0 0 0 4\n0 0 0 0 0 0 0 0 4 0 0 4 4 0 4 4 0 0 4\n0 0 4 4 0 4 0 4 6 0 4 0 0 0 0 0 6 0 4\n0 4 4 0 4 0 0 4 8 4 4 0 4 4 4 4 6 0 0\n4 4 0 4 0 0 8 8 6 8 6 4 0 4 8 8 6 8 8\n0 0 0 0 4 0 0 0 8 0 4 0 4 4 4 4 6 0 0\n4 0 4 4 4 0 0 4 8 4 0 4 4 4 0 4 6 4 0\n0 0 4 4 4 4 0 0 0 4 4 4 0 4 4 0 4 4 4\n0 0 0 0 0 4 4 0 0 4 0 0 0 0 0 0 0 4 4\n0 0 0 4 0 4 4 4 4 0 0 0 4 0 0 0 4 0 0\n4 4 4 4 4 4 4 0 4 0 4 0 4 4 4 0 0 4 4\n4 4 4 4 4 0 4 4 4 0 4 4 0 0 4 4 4 4 0\n0 4 4 0 0 0 4 0 0 0 0 4 4 4 0 4 4 0 4", "metadata": {"source_dataset": "arc_agi", "source_index": 195, "input": [[0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 4, 0, 4, 4, 4, 4, 4], [4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4], [0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4, 4, 4], [4, 4, 0, 4, 4, 4, 0, 0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 4], [0, 4, 4, 0, 6, 0, 4, 0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4], [0, 0, 4, 4, 6, 4, 4, 0, 0, 4, 4, 0, 4, 4, 6, 6, 6, 4, 0], [4, 0, 4, 4, 4, 6, 6, 0, 0, 0, 0, 0, 4, 4, 6, 4, 0, 0, 4], [4, 0, 0, 4, 6, 4, 0, 0, 4, 0, 4, 4, 0, 4, 6, 0, 4, 4, 0], [0, 4, 0, 0, 6, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4], [4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4], [0, 0, 4, 4, 0, 4, 0, 4, 6, 0, 4, 0, 0, 0, 0, 0, 6, 0, 4], [0, 4, 4, 0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 6, 0, 0], [4, 4, 0, 4, 0, 0, 4, 4, 6, 4, 6, 4, 0, 4, 4, 4, 6, 4, 4], [0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 4, 4, 6, 0, 0], [4, 0, 4, 4, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 0, 4, 6, 4, 0], [0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4], [0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 0, 0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 4, 4], [4, 4, 4, 4, 4, 0, 4, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 4, 0], [0, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4, 0, 4]], "output": [[0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 4, 0, 4, 4, 4, 4, 4], [4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4], [0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4, 4, 4], [4, 4, 0, 4, 4, 4, 0, 0, 4, 4, 4, 4, 0, 4, 8, 0, 0, 0, 4], [0, 4, 4, 0, 6, 0, 4, 0, 4, 4, 4, 0, 4, 4, 8, 4, 0, 0, 4], [0, 0, 4, 4, 6, 4, 4, 0, 0, 4, 4, 0, 8, 8, 6, 6, 6, 4, 0], [4, 0, 8, 8, 8, 6, 6, 0, 0, 0, 0, 0, 4, 4, 6, 4, 0, 0, 4], [4, 0, 0, 4, 6, 4, 0, 0, 4, 0, 4, 4, 0, 4, 6, 0, 4, 4, 0], [0, 4, 0, 0, 6, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4], [4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4], [0, 0, 4, 4, 0, 4, 0, 4, 6, 0, 4, 0, 0, 0, 0, 0, 6, 0, 4], [0, 4, 4, 0, 4, 0, 0, 4, 8, 4, 4, 0, 4, 4, 4, 4, 6, 0, 0], [4, 4, 0, 4, 0, 0, 8, 8, 6, 8, 6, 4, 0, 4, 8, 8, 6, 8, 8], [0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 4, 0, 4, 4, 4, 4, 6, 0, 0], [4, 0, 4, 4, 4, 0, 0, 4, 8, 4, 0, 4, 4, 4, 0, 4, 6, 4, 0], [0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4], [0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 0, 0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 4, 4], [4, 4, 4, 4, 4, 0, 4, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 4, 0], [0, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4, 0, 4]], "task_id": "50846271", "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": 195, "input": [[0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 4, 0, 4, 4, 4, 4, 4], [4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4], [0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4, 4, 4], [4, 4, 0, 4, 4, 4, 0, 0, 4, 4, 4, 4, 0, 4, 4, 0, 0, 0, 4], [0, 4, 4, 0, 6, 0, 4, 0, 4, 4, 4, 0, 4, 4, 4, 4, 0, 0, 4], [0, 0, 4, 4, 6, 4, 4, 0, 0, 4, 4, 0, 4, 4, 6, 6, 6, 4, 0], [4, 0, 4, 4, 4, 6, 6, 0, 0, 0, 0, 0, 4, 4, 6, 4, 0, 0, 4], [4, 0, 0, 4, 6, 4, 0, 0, 4, 0, 4, 4, 0, 4, 6, 0, 4, 4, 0], [0, 4, 0, 0, 6, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4], [4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4], [0, 0, 4, 4, 0, 4, 0, 4, 6, 0, 4, 0, 0, 0, 0, 0, 6, 0, 4], [0, 4, 4, 0, 4, 0, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 6, 0, 0], [4, 4, 0, 4, 0, 0, 4, 4, 6, 4, 6, 4, 0, 4, 4, 4, 6, 4, 4], [0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 4, 0, 4, 4, 4, 4, 6, 0, 0], [4, 0, 4, 4, 4, 0, 0, 4, 4, 4, 0, 4, 4, 4, 0, 4, 6, 4, 0], [0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4], [0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 0, 0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 4, 4], [4, 4, 4, 4, 4, 0, 4, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 4, 0], [0, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4, 0, 4]], "output": [[0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0, 4, 0, 4, 4, 4, 4, 4], [4, 4, 0, 0, 4, 0, 4, 0, 4, 0, 0, 4, 4, 0, 4, 0, 4, 0, 4], [0, 0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 0, 4, 0, 0, 4, 4, 4], [4, 4, 0, 4, 4, 4, 0, 0, 4, 4, 4, 4, 0, 4, 8, 0, 0, 0, 4], [0, 4, 4, 0, 6, 0, 4, 0, 4, 4, 4, 0, 4, 4, 8, 4, 0, 0, 4], [0, 0, 4, 4, 6, 4, 4, 0, 0, 4, 4, 0, 8, 8, 6, 6, 6, 4, 0], [4, 0, 8, 8, 8, 6, 6, 0, 0, 0, 0, 0, 4, 4, 6, 4, 0, 0, 4], [4, 0, 0, 4, 6, 4, 0, 0, 4, 0, 4, 4, 0, 4, 6, 0, 4, 4, 0], [0, 4, 0, 0, 6, 4, 4, 0, 4, 4, 0, 4, 0, 4, 4, 4, 4, 0, 4], [4, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 0, 0, 0, 4], [0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 4, 0, 4, 4, 0, 0, 4], [0, 0, 4, 4, 0, 4, 0, 4, 6, 0, 4, 0, 0, 0, 0, 0, 6, 0, 4], [0, 4, 4, 0, 4, 0, 0, 4, 8, 4, 4, 0, 4, 4, 4, 4, 6, 0, 0], [4, 4, 0, 4, 0, 0, 8, 8, 6, 8, 6, 4, 0, 4, 8, 8, 6, 8, 8], [0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 4, 0, 4, 4, 4, 4, 6, 0, 0], [4, 0, 4, 4, 4, 0, 0, 4, 8, 4, 0, 4, 4, 4, 0, 4, 6, 4, 0], [0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 0, 4, 4, 0, 4, 4, 4], [0, 0, 0, 0, 0, 4, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4], [0, 0, 0, 4, 0, 4, 4, 4, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 0, 4, 0, 4, 0, 4, 4, 4, 0, 0, 4, 4], [4, 4, 4, 4, 4, 0, 4, 4, 4, 0, 4, 4, 0, 0, 4, 4, 4, 4, 0], [0, 4, 4, 0, 0, 0, 4, 0, 0, 0, 0, 4, 4, 4, 0, 4, 4, 0, 4]], "task_id": "50846271", "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 7 5 7 7 7 7 5 7 7 5 7 7 7 5 7 7 7 5 7 7 7 7 7 7 5 7 5 7 7 7 7 7 7 7 5 7 7 7 7 5 7 5 5 5 7 7 5 5 7 7 7 7 7 5 7 5 7 7 5 7 7 5 5 5 7 5 5 5 5 7 5 7 7 7 7 5 7 7 7 5 5 5 5 5 5 7 7 7 7 7 5 7 7 5 7 7 7 7 7 Output: 5 7 5 7 7 1 1 5 7 7 5 1 1 1 5 1 1 7 5 7 7 1 1 1 7 5 7 5 1 1 7 1 1 1 7 5 7 7 1 1 5 7 5 5 5 7 7 5 5 7 1 1 7 7 5 7 5 7 7 5 1 1 5 5 5 7 5 5 5 5 7 5 7 7 7 7 5 1 1 1 5 5 5 5 5 5 7 1 1 1 7 5 7 7 5 7 7 1 1 1 Example 2: Input: 7 7 5 7 7 7 7 7 5 5 5 5 7 7 7 7 5 5 7 7 7 5 7 7 7 7 5 7 5 5 5 7 5 5 5 5 7 7 7 7 7 5 7 5 5 7 5 7 5 7 5 5 7 7 5 7 7 7 7 5 5 7 7 7 7 5 7 5 5 5 7 5 5 5 7 7 7 7 5 7 5 5 7 7 5 7 7 7 7 5 7 7 5 5 7 7 7 7 7 5 Output: 7 7 5 1 1 1 7 7 5 5 5 5 7 1 1 1 5 5 7 7 7 5 7 1 1 1 5 7 5 5 5 7 5 5 5 5 7 7 7 7 7 5 7 5 5 7 5 7 5 7 5 5 1 1 5 7 7 7 7 5 5 7 1 1 7 5 7 5 5 5 7 5 5 5 7 1 1 1 5 7 5 5 7 7 5 1 1 1 7 5 7 7 5 5 7 1 1 1 7 5 Example 3: Input: 7 7 7 7 7 5 7 7 5 7 7 5 7 5 5 7 7 7 5 5 5 5 5 7 7 5 5 7 7 7 7 5 7 7 5 5 7 5 7 7 7 5 7 7 7 7 7 7 5 7 5 7 5 5 5 7 7 5 7 5 7 5 7 5 5 7 5 7 7 7 7 7 7 5 5 5 7 5 7 7 7 5 7 5 5 7 5 5 7 5 7 7 5 7 7 7 7 7 7 7 Output: 7 7 7 7 7 5 1 1 5 7 7 5 7 5 5 7 1 1 5 5 5 5 5 7 7 5 5 7 1 1 7 5 1 1 5 5 7 5 1 1 7 5 1 1 7 1 1 7 5 7 5 7 5 5 5 1 1 5 7 5 7 5 7 5 5 7 5 7 1 1 7 7 7 5 5 5 7 5 1 1 7 5 7 5 5 7 5 5 7 5 7 7 5 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 5 7 5 7 5 7 7 7 5 7 7 7 5 5 7 5 7 7 5 7 5 5 7 7 5 5 7 5 5 7 7 5 7 7 7 7 7 7 5 5 7 7 7 5 5 7 7 7 5 7 7 5 5 7 7 7 7 7 7 7 7 5 5 7 7 5 5 7 7 5 7 7 5 7 5 7 5 7 5 5 5 5 7 7 5 7 5 5 7 7 7 7 7 5 5 5 7 7 7
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 5 7 5 7 5 7 1 1 5\n7 7 7 5 5 7 5 1 1 5\n7 5 5 1 1 5 5 7 5 5\n7 7 5 1 1 7 1 1 1 5\n5 7 7 7 5 5 1 1 1 5\n1 1 5 5 1 1 1 1 1 7\n1 1 5 5 1 1 5 5 7 7\n5 7 7 5 7 5 7 5 7 5\n5 5 5 7 7 5 7 5 5 7\n7 7 7 7 5 5 5 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 5 7 7 7 7 5 7 7\n5 7 7 7 5 7 7 7 5 7\n7 7 7 7 7 5 7 5 7 7\n7 7 7 7 7 5 7 7 7 7\n5 7 5 5 5 7 7 5 5 7\n7 7 7 7 5 7 5 7 7 5\n7 7 5 5 5 7 5 5 5 5\n7 5 7 7 7 7 5 7 7 7\n5 5 5 5 5 5 7 7 7 7\n7 5 7 7 5 7 7 7 7 7\nOutput:\n5 7 5 7 7 1 1 5 7 7\n5 1 1 1 5 1 1 7 5 7\n7 1 1 1 7 5 7 5 1 1\n7 1 1 1 7 5 7 7 1 1\n5 7 5 5 5 7 7 5 5 7\n1 1 7 7 5 7 5 7 7 5\n1 1 5 5 5 7 5 5 5 5\n7 5 7 7 7 7 5 1 1 1\n5 5 5 5 5 5 7 1 1 1\n7 5 7 7 5 7 7 1 1 1\n\nExample 2:\n\nInput:\n7 7 5 7 7 7 7 7 5 5\n5 5 7 7 7 7 5 5 7 7\n7 5 7 7 7 7 5 7 5 5\n5 7 5 5 5 5 7 7 7 7\n7 5 7 5 5 7 5 7 5 7\n5 5 7 7 5 7 7 7 7 5\n5 7 7 7 7 5 7 5 5 5\n7 5 5 5 7 7 7 7 5 7\n5 5 7 7 5 7 7 7 7 5\n7 7 5 5 7 7 7 7 7 5\nOutput:\n7 7 5 1 1 1 7 7 5 5\n5 5 7 1 1 1 5 5 7 7\n7 5 7 1 1 1 5 7 5 5\n5 7 5 5 5 5 7 7 7 7\n7 5 7 5 5 7 5 7 5 7\n5 5 1 1 5 7 7 7 7 5\n5 7 1 1 7 5 7 5 5 5\n7 5 5 5 7 1 1 1 5 7\n5 5 7 7 5 1 1 1 7 5\n7 7 5 5 7 1 1 1 7 5\n\nExample 3:\n\nInput:\n7 7 7 7 7 5 7 7 5 7\n7 5 7 5 5 7 7 7 5 5\n5 5 5 7 7 5 5 7 7 7\n7 5 7 7 5 5 7 5 7 7\n7 5 7 7 7 7 7 7 5 7\n5 7 5 5 5 7 7 5 7 5\n7 5 7 5 5 7 5 7 7 7\n7 7 7 5 5 5 7 5 7 7\n7 5 7 5 5 7 5 5 7 5\n7 7 5 7 7 7 7 7 7 7\nOutput:\n7 7 7 7 7 5 1 1 5 7\n7 5 7 5 5 7 1 1 5 5\n5 5 5 7 7 5 5 7 1 1\n7 5 1 1 5 5 7 5 1 1\n7 5 1 1 7 1 1 7 5 7\n5 7 5 5 5 1 1 5 7 5\n7 5 7 5 5 7 5 7 1 1\n7 7 7 5 5 5 7 5 1 1\n7 5 7 5 5 7 5 5 7 5\n7 7 5 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 5 7 5 7 5 7 7 7 5\n7 7 7 5 5 7 5 7 7 5\n7 5 5 7 7 5 5 7 5 5\n7 7 5 7 7 7 7 7 7 5\n5 7 7 7 5 5 7 7 7 5\n7 7 5 5 7 7 7 7 7 7\n7 7 5 5 7 7 5 5 7 7\n5 7 7 5 7 5 7 5 7 5\n5 5 5 7 7 5 7 5 5 7\n7 7 7 7 5 5 5 7 7 7\n", "answer": "7 5 7 5 7 5 7 1 1 5\n7 7 7 5 5 7 5 1 1 5\n7 5 5 1 1 5 5 7 5 5\n7 7 5 1 1 7 1 1 1 5\n5 7 7 7 5 5 1 1 1 5\n1 1 5 5 1 1 1 1 1 7\n1 1 5 5 1 1 5 5 7 7\n5 7 7 5 7 5 7 5 7 5\n5 5 5 7 7 5 7 5 5 7\n7 7 7 7 5 5 5 7 7 7", "metadata": {"source_dataset": "arc_agi", "source_index": 196, "input": [[7, 5, 7, 5, 7, 5, 7, 7, 7, 5], [7, 7, 7, 5, 5, 7, 5, 7, 7, 5], [7, 5, 5, 7, 7, 5, 5, 7, 5, 5], [7, 7, 5, 7, 7, 7, 7, 7, 7, 5], [5, 7, 7, 7, 5, 5, 7, 7, 7, 5], [7, 7, 5, 5, 7, 7, 7, 7, 7, 7], [7, 7, 5, 5, 7, 7, 5, 5, 7, 7], [5, 7, 7, 5, 7, 5, 7, 5, 7, 5], [5, 5, 5, 7, 7, 5, 7, 5, 5, 7], [7, 7, 7, 7, 5, 5, 5, 7, 7, 7]], "output": [[7, 5, 7, 5, 7, 5, 7, 1, 1, 5], [7, 7, 7, 5, 5, 7, 5, 1, 1, 5], [7, 5, 5, 1, 1, 5, 5, 7, 5, 5], [7, 7, 5, 1, 1, 7, 1, 1, 1, 5], [5, 7, 7, 7, 5, 5, 1, 1, 1, 5], [1, 1, 5, 5, 1, 1, 1, 1, 1, 7], [1, 1, 5, 5, 1, 1, 5, 5, 7, 7], [5, 7, 7, 5, 7, 5, 7, 5, 7, 5], [5, 5, 5, 7, 7, 5, 7, 5, 5, 7], [7, 7, 7, 7, 5, 5, 5, 7, 7, 7]], "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": 196, "input": [[7, 5, 7, 5, 7, 5, 7, 7, 7, 5], [7, 7, 7, 5, 5, 7, 5, 7, 7, 5], [7, 5, 5, 7, 7, 5, 5, 7, 5, 5], [7, 7, 5, 7, 7, 7, 7, 7, 7, 5], [5, 7, 7, 7, 5, 5, 7, 7, 7, 5], [7, 7, 5, 5, 7, 7, 7, 7, 7, 7], [7, 7, 5, 5, 7, 7, 5, 5, 7, 7], [5, 7, 7, 5, 7, 5, 7, 5, 7, 5], [5, 5, 5, 7, 7, 5, 7, 5, 5, 7], [7, 7, 7, 7, 5, 5, 5, 7, 7, 7]], "output": [[7, 5, 7, 5, 7, 5, 7, 1, 1, 5], [7, 7, 7, 5, 5, 7, 5, 1, 1, 5], [7, 5, 5, 1, 1, 5, 5, 7, 5, 5], [7, 7, 5, 1, 1, 7, 1, 1, 1, 5], [5, 7, 7, 7, 5, 5, 1, 1, 1, 5], [1, 1, 5, 5, 1, 1, 1, 1, 1, 7], [1, 1, 5, 5, 1, 1, 5, 5, 7, 7], [5, 7, 7, 5, 7, 5, 7, 5, 7, 5], [5, 5, 5, 7, 7, 5, 7, 5, 5, 7], [7, 7, 7, 7, 5, 5, 5, 7, 7, 7]], "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: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 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 7 2 2 2 2 2 7 2 2 2 2 2 2 2 2 2 7 2 2 2 2 2 7 2 2 2 2 2 5 7 7 7 6 2 2 2 2 2 7 2 2 2 2 2 5 2 2 2 6 2 2 2 2 2 7 2 2 2 2 2 5 5 3 2 6 2 2 2 2 2 7 2 2 2 2 2 5 2 2 2 6 2 2 2 2 2 7 2 2 2 2 2 5 7 7 7 6 2 2 2 2 2 7 2 2 2 2 2 2 2 2 2 7 2 2 2 2 2 7 2 2 2 2 2 2 2 2 2 7 2 2 2 2 2 7 2 2 2 2 2 2 2 2 2 7 2 2 2 2 2 7 2 2 2 2 2 2 2 2 2 7 2 5 7 7 7 6 2 2 2 2 2 2 2 2 2 7 2 5 2 2 2 6 2 2 2 2 2 2 2 2 2 7 2 5 5 3 2 6 2 2 2 2 2 2 2 2 2 7 2 5 2 2 2 6 2 2 2 2 2 2 2 2 2 7 2 5 7 7 7 6 2 2 2 2 2 2 2 2 2 7 2 2 2 2 2 7 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 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Output: 2 2 2 2 2 2 7 2 2 2 2 2 2 2 2 2 7 2 2 2 2 2 2 2 2 2 7 2 2 2 2 2 5 7 7 7 6 2 2 2 2 2 5 2 2 2 6 2 2 2 2 2 5 5 3 2 6 2 2 2 2 2 5 2 2 2 6 2 2 2 2 2 5 7 7 7 6 2 2 2 2 2 2 2 2 2 7 2 2 2 2 2 2 2 2 2 7 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 7 2 2 2 2 7 2 2 2 2 7 2\n2 2 2 2 2 7 2 2 2 2 7 2 2 2 2 7 2\n2 2 2 2 2 7 2 2 2 2 7 2 2 2 2 7 2\n2 2 2 2 2 7 2 2 2 2 7 2 2 2 2 7 2\n2 2 2 2 2 7 2 2 2 2 7 2 2 2 2 7 2\n2 2 2 2 2 7 5 7 7 7 6 2 2 2 2 7 2\n2 2 2 2 2 7 5 2 2 2 6 2 2 2 2 7 2\n2 2 2 2 2 7 5 5 3 2 6 2 2 2 2 7 2\n2 2 2 2 2 7 5 2 2 2 6 2 2 2 2 7 2\n2 2 2 2 2 7 5 7 7 7 6 2 2 2 2 7 2\n2 2 2 2 2 7 2 2 2 2 7 5 7 7 7 6 2\n2 2 2 2 2 7 2 2 2 2 7 5 2 2 2 6 2\n2 5 7 7 7 6 2 2 2 2 7 5 5 3 2 6 2\n2 5 2 2 2 6 2 2 2 2 7 5 2 2 2 6 2\n2 5 5 3 2 6 2 2 2 2 7 5 7 7 7 6 2\n2 5 2 2 2 6 2 2 2 2 7 2 2 2 2 7 2\n2 5 7 7 7 6 2 2 2 2 7 2 2 2 2 7 2\n2 2 2 2 2 7 2 2 2 2 7 2 2 2 2 7 2\n2 2 2 2 2 7 2 2 2 2 7 2 2 2 2 7 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 2 2 2 2 2 2\n2 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\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 3 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\n2 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\n2 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\n2 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\n2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2\n2 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\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\nOutput:\n2 2 2 2 2 2 7 2 2 2 2 2 7 2 2 2\n2 2 2 2 2 2 7 2 2 2 2 2 7 2 2 2\n2 2 5 7 7 7 6 2 2 2 2 2 7 2 2 2\n2 2 5 2 2 2 6 2 2 2 2 2 7 2 2 2\n2 2 5 5 3 2 6 2 2 2 2 2 7 2 2 2\n2 2 5 2 2 2 6 2 2 2 2 2 7 2 2 2\n2 2 5 7 7 7 6 2 2 2 2 2 7 2 2 2\n2 2 2 2 2 2 7 2 2 2 2 2 7 2 2 2\n2 2 2 2 2 2 7 2 2 2 2 2 7 2 2 2\n2 2 2 2 2 2 7 2 2 2 2 2 7 2 2 2\n2 2 2 2 2 2 7 2 5 7 7 7 6 2 2 2\n2 2 2 2 2 2 7 2 5 2 2 2 6 2 2 2\n2 2 2 2 2 2 7 2 5 5 3 2 6 2 2 2\n2 2 2 2 2 2 7 2 5 2 2 2 6 2 2 2\n2 2 2 2 2 2 7 2 5 7 7 7 6 2 2 2\n2 2 2 2 2 2 7 2 2 2 2 2 7 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 2 2 3 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\nOutput:\n2 2 2 2 2 2 7 2 2 2\n2 2 2 2 2 2 7 2 2 2\n2 2 2 2 2 2 7 2 2 2\n2 2 5 7 7 7 6 2 2 2\n2 2 5 2 2 2 6 2 2 2\n2 2 5 5 3 2 6 2 2 2\n2 2 5 2 2 2 6 2 2 2\n2 2 5 7 7 7 6 2 2 2\n2 2 2 2 2 2 7 2 2 2\n2 2 2 2 2 2 7 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 2 2 2 2 2 2 2\n2 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\n2 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\n2 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\n2 2 2 2 2 2 2 2 3 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\n2 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\n2 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 3 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 3 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\n2 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\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n", "answer": "2 2 2 2 2 7 2 2 2 2 7 2 2 2 2 7 2\n2 2 2 2 2 7 2 2 2 2 7 2 2 2 2 7 2\n2 2 2 2 2 7 2 2 2 2 7 2 2 2 2 7 2\n2 2 2 2 2 7 2 2 2 2 7 2 2 2 2 7 2\n2 2 2 2 2 7 2 2 2 2 7 2 2 2 2 7 2\n2 2 2 2 2 7 5 7 7 7 6 2 2 2 2 7 2\n2 2 2 2 2 7 5 2 2 2 6 2 2 2 2 7 2\n2 2 2 2 2 7 5 5 3 2 6 2 2 2 2 7 2\n2 2 2 2 2 7 5 2 2 2 6 2 2 2 2 7 2\n2 2 2 2 2 7 5 7 7 7 6 2 2 2 2 7 2\n2 2 2 2 2 7 2 2 2 2 7 5 7 7 7 6 2\n2 2 2 2 2 7 2 2 2 2 7 5 2 2 2 6 2\n2 5 7 7 7 6 2 2 2 2 7 5 5 3 2 6 2\n2 5 2 2 2 6 2 2 2 2 7 5 2 2 2 6 2\n2 5 5 3 2 6 2 2 2 2 7 5 7 7 7 6 2\n2 5 2 2 2 6 2 2 2 2 7 2 2 2 2 7 2\n2 5 7 7 7 6 2 2 2 2 7 2 2 2 2 7 2\n2 2 2 2 2 7 2 2 2 2 7 2 2 2 2 7 2\n2 2 2 2 2 7 2 2 2 2 7 2 2 2 2 7 2", "metadata": {"source_dataset": "arc_agi", "source_index": 197, "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, 2, 2, 2, 2], [2, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 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, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 7, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2], [2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2], [2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2], [2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2], [2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2], [2, 2, 2, 2, 2, 7, 5, 7, 7, 7, 6, 2, 2, 2, 2, 7, 2], [2, 2, 2, 2, 2, 7, 5, 2, 2, 2, 6, 2, 2, 2, 2, 7, 2], [2, 2, 2, 2, 2, 7, 5, 5, 3, 2, 6, 2, 2, 2, 2, 7, 2], [2, 2, 2, 2, 2, 7, 5, 2, 2, 2, 6, 2, 2, 2, 2, 7, 2], [2, 2, 2, 2, 2, 7, 5, 7, 7, 7, 6, 2, 2, 2, 2, 7, 2], [2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 5, 7, 7, 7, 6, 2], [2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 5, 2, 2, 2, 6, 2], [2, 5, 7, 7, 7, 6, 2, 2, 2, 2, 7, 5, 5, 3, 2, 6, 2], [2, 5, 2, 2, 2, 6, 2, 2, 2, 2, 7, 5, 2, 2, 2, 6, 2], [2, 5, 5, 3, 2, 6, 2, 2, 2, 2, 7, 5, 7, 7, 7, 6, 2], [2, 5, 2, 2, 2, 6, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2], [2, 5, 7, 7, 7, 6, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2], [2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2], [2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2]], "task_id": "3f23242b", "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": 197, "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, 2, 2, 2, 2], [2, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 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, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 7, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2], [2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2], [2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2], [2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2], [2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2], [2, 2, 2, 2, 2, 7, 5, 7, 7, 7, 6, 2, 2, 2, 2, 7, 2], [2, 2, 2, 2, 2, 7, 5, 2, 2, 2, 6, 2, 2, 2, 2, 7, 2], [2, 2, 2, 2, 2, 7, 5, 5, 3, 2, 6, 2, 2, 2, 2, 7, 2], [2, 2, 2, 2, 2, 7, 5, 2, 2, 2, 6, 2, 2, 2, 2, 7, 2], [2, 2, 2, 2, 2, 7, 5, 7, 7, 7, 6, 2, 2, 2, 2, 7, 2], [2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 5, 7, 7, 7, 6, 2], [2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 5, 2, 2, 2, 6, 2], [2, 5, 7, 7, 7, 6, 2, 2, 2, 2, 7, 5, 5, 3, 2, 6, 2], [2, 5, 2, 2, 2, 6, 2, 2, 2, 2, 7, 5, 2, 2, 2, 6, 2], [2, 5, 5, 3, 2, 6, 2, 2, 2, 2, 7, 5, 7, 7, 7, 6, 2], [2, 5, 2, 2, 2, 6, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2], [2, 5, 7, 7, 7, 6, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2], [2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2], [2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2, 2, 2, 2, 7, 2]], "task_id": "3f23242b", "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 5 5 5 6 6 6 5 6 5 6 6 6 5 6 5 6 6 6 5 5 5 6 6 6 6 6 6 Output: 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 5 2 5 6 6 6 5 2 5 6 6 6 5 5 5 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 9 9 9 6 6 6 5 5 5 6 6 6 6 9 6 9 6 6 6 5 6 5 6 6 6 6 9 9 9 6 6 6 5 5 5 6 6 6 6 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 3 6 6 3 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 6 6 6 3 3 3 6 6 6 6 6 6 6 6 6 6 3 6 3 6 6 6 8 8 8 8 6 6 6 3 3 3 6 6 6 8 6 6 8 6 6 6 6 6 6 6 6 6 8 8 8 8 Output: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 9 9 6 6 6 5 5 5 6 6 6 6 9 1 9 6 6 6 5 1 5 6 6 6 6 9 9 9 6 6 6 5 5 5 6 6 6 6 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 3 2 2 3 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 6 6 6 3 3 3 6 6 6 6 6 6 6 6 6 6 3 1 3 6 6 6 8 8 8 8 6 6 6 3 3 3 6 6 6 8 2 2 8 6 6 6 6 6 6 6 6 6 8 8 8 8 Example 3: Input: 6 6 6 6 6 6 6 6 8 8 8 6 6 6 8 6 8 6 6 6 8 8 8 6 6 6 6 6 6 6 6 6 6 6 6 6 Output: 6 6 6 6 6 6 6 6 8 8 8 6 6 6 8 1 8 6 6 6 8 8 8 6 6 6 6 6 6 6 6 6 6 6 6 6 Example 4: Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 3 3 3 6 6 5 6 6 5 6 6 6 3 6 3 6 6 5 5 5 5 6 6 6 3 6 3 6 6 6 6 6 6 6 6 6 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 9 9 9 9 6 6 3 3 3 6 6 6 9 6 6 9 6 6 3 6 3 6 6 6 9 9 9 9 6 6 3 3 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 9 9 6 6 6 6 6 6 6 6 6 9 6 9 6 6 6 6 6 6 6 6 6 9 9 9 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 5 5 5 5 6 6 6 3 3 3 6 6 5 2 2 5 6 6 6 3 2 3 6 6 5 5 5 5 6 6 6 3 2 3 6 6 6 6 6 6 6 6 6 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 9 9 9 9 6 6 3 3 3 6 6 6 9 2 2 9 6 6 3 1 3 6 6 6 9 9 9 9 6 6 3 3 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 9 9 6 6 6 6 6 6 6 6 6 9 1 9 6 6 6 6 6 6 6 6 6 9 9 9 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 5 5 5 6 6 6 9 9 9 9 6 6 5 6 5 6 6 6 9 6 6 9 6 6 5 5 5 6 6 6 9 9 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 9 9 9 6 3 3 3 6 6 6 6 6 9 6 9 6 3 6 3 3 3 3 6 6 9 9 9 6 3 6 3 3 6 3 6 6 6 6 6 6 3 3 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
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 5 5 5 6\n6 6 9 9 9 9 6 6 5 1 5 6\n6 6 9 2 2 9 6 6 5 5 5 6\n6 6 9 9 9 9 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 9 9 9 6 3 3 3\n6 6 6 6 6 9 1 9 6 3 2 3\n3 3 3 6 6 9 9 9 6 3 2 3\n3 1 3 6 6 6 6 6 6 3 3 3\n3 3 3 6 6 6 6 6 6 6 6 6\n6 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 6 6 6 6\n6 6 6 5 5 5\n6 6 6 5 6 5\n6 6 6 5 6 5\n6 6 6 5 5 5\n6 6 6 6 6 6\nOutput:\n6 6 6 6 6 6\n6 6 6 5 5 5\n6 6 6 5 2 5\n6 6 6 5 2 5\n6 6 6 5 5 5\n6 6 6 6 6 6\n\nExample 2:\n\nInput:\n6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 9 9 9 6 6 6 5 5 5 6\n6 6 6 9 6 9 6 6 6 5 6 5 6\n6 6 6 9 9 9 6 6 6 5 5 5 6\n6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 3 3 3 3 6 6 6\n6 6 6 6 6 6 3 6 6 3 6 6 6\n6 6 6 6 6 6 3 3 3 3 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 3 3 3 6 6 6 6 6 6 6\n6 6 6 3 6 3 6 6 6 8 8 8 8\n6 6 6 3 3 3 6 6 6 8 6 6 8\n6 6 6 6 6 6 6 6 6 8 8 8 8\nOutput:\n6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 9 9 9 6 6 6 5 5 5 6\n6 6 6 9 1 9 6 6 6 5 1 5 6\n6 6 6 9 9 9 6 6 6 5 5 5 6\n6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 3 3 3 3 6 6 6\n6 6 6 6 6 6 3 2 2 3 6 6 6\n6 6 6 6 6 6 3 3 3 3 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 3 3 3 6 6 6 6 6 6 6\n6 6 6 3 1 3 6 6 6 8 8 8 8\n6 6 6 3 3 3 6 6 6 8 2 2 8\n6 6 6 6 6 6 6 6 6 8 8 8 8\n\nExample 3:\n\nInput:\n6 6 6 6 6 6\n6 6 8 8 8 6\n6 6 8 6 8 6\n6 6 8 8 8 6\n6 6 6 6 6 6\n6 6 6 6 6 6\nOutput:\n6 6 6 6 6 6\n6 6 8 8 8 6\n6 6 8 1 8 6\n6 6 8 8 8 6\n6 6 6 6 6 6\n6 6 6 6 6 6\n\nExample 4:\n\nInput:\n6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 5 5 5 5 6\n6 6 3 3 3 6 6 5 6 6 5 6\n6 6 3 6 3 6 6 5 5 5 5 6\n6 6 3 6 3 6 6 6 6 6 6 6\n6 6 3 3 3 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\n9 9 9 9 6 6 3 3 3 6 6 6\n9 6 6 9 6 6 3 6 3 6 6 6\n9 9 9 9 6 6 3 3 3 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 9 9 9 6 6 6 6 6\n6 6 6 6 9 6 9 6 6 6 6 6\n6 6 6 6 9 9 9 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 5 5 5 5 6\n6 6 3 3 3 6 6 5 2 2 5 6\n6 6 3 2 3 6 6 5 5 5 5 6\n6 6 3 2 3 6 6 6 6 6 6 6\n6 6 3 3 3 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\n9 9 9 9 6 6 3 3 3 6 6 6\n9 2 2 9 6 6 3 1 3 6 6 6\n9 9 9 9 6 6 3 3 3 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 9 9 9 6 6 6 6 6\n6 6 6 6 9 1 9 6 6 6 6 6\n6 6 6 6 9 9 9 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\n6 6 6 6 6 6 6 6 5 5 5 6\n6 6 9 9 9 9 6 6 5 6 5 6\n6 6 9 6 6 9 6 6 5 5 5 6\n6 6 9 9 9 9 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 9 9 9 6 3 3 3\n6 6 6 6 6 9 6 9 6 3 6 3\n3 3 3 6 6 9 9 9 6 3 6 3\n3 6 3 6 6 6 6 6 6 3 3 3\n3 3 3 6 6 6 6 6 6 6 6 6\n6 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\n6 6 6 6 6 6 6 6 5 5 5 6\n6 6 9 9 9 9 6 6 5 1 5 6\n6 6 9 2 2 9 6 6 5 5 5 6\n6 6 9 9 9 9 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 9 9 9 6 3 3 3\n6 6 6 6 6 9 1 9 6 3 2 3\n3 3 3 6 6 9 9 9 6 3 2 3\n3 1 3 6 6 6 6 6 6 3 3 3\n3 3 3 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6", "metadata": {"source_dataset": "arc_agi", "source_index": 198, "input": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6], [6, 6, 9, 9, 9, 9, 6, 6, 5, 6, 5, 6], [6, 6, 9, 6, 6, 9, 6, 6, 5, 5, 5, 6], [6, 6, 9, 9, 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, 9, 9, 9, 6, 3, 3, 3], [6, 6, 6, 6, 6, 9, 6, 9, 6, 3, 6, 3], [3, 3, 3, 6, 6, 9, 9, 9, 6, 3, 6, 3], [3, 6, 3, 6, 6, 6, 6, 6, 6, 3, 3, 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]], "output": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6], [6, 6, 9, 9, 9, 9, 6, 6, 5, 1, 5, 6], [6, 6, 9, 2, 2, 9, 6, 6, 5, 5, 5, 6], [6, 6, 9, 9, 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, 9, 9, 9, 6, 3, 3, 3], [6, 6, 6, 6, 6, 9, 1, 9, 6, 3, 2, 3], [3, 3, 3, 6, 6, 9, 9, 9, 6, 3, 2, 3], [3, 1, 3, 6, 6, 6, 6, 6, 6, 3, 3, 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]], "task_id": "84f2aca1", "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": 198, "input": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6], [6, 6, 9, 9, 9, 9, 6, 6, 5, 6, 5, 6], [6, 6, 9, 6, 6, 9, 6, 6, 5, 5, 5, 6], [6, 6, 9, 9, 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, 9, 9, 9, 6, 3, 3, 3], [6, 6, 6, 6, 6, 9, 6, 9, 6, 3, 6, 3], [3, 3, 3, 6, 6, 9, 9, 9, 6, 3, 6, 3], [3, 6, 3, 6, 6, 6, 6, 6, 6, 3, 3, 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]], "output": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 6], [6, 6, 9, 9, 9, 9, 6, 6, 5, 1, 5, 6], [6, 6, 9, 2, 2, 9, 6, 6, 5, 5, 5, 6], [6, 6, 9, 9, 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, 9, 9, 9, 6, 3, 3, 3], [6, 6, 6, 6, 6, 9, 1, 9, 6, 3, 2, 3], [3, 3, 3, 6, 6, 9, 9, 9, 6, 3, 2, 3], [3, 1, 3, 6, 6, 6, 6, 6, 6, 3, 3, 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]], "task_id": "84f2aca1", "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 8 8 3 8 3 8 3 6 6 6 3 8 3 8 8 8 3 8 3 Output: 3 3 3 2 3 2 3 2 3 Example 2: Input: 8 3 8 3 8 3 3 3 3 6 6 6 3 8 3 8 8 3 3 8 3 Output: 3 3 3 3 2 3 3 3 3 Example 3: Input: 3 8 3 3 8 8 8 3 8 6 6 6 3 8 8 3 3 3 3 8 8 Output: 3 2 3 3 3 3 3 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: 8 3 8 3 8 3 8 3 8 6 6 6 8 8 3 3 3 8 8 8 3
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 3 3\n3 3 3\n2 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:\n8 3 8\n8 3 8\n3 8 3\n6 6 6\n3 8 3\n8 8 8\n3 8 3\nOutput:\n3 3 3\n2 3 2\n3 2 3\n\nExample 2:\n\nInput:\n8 3 8\n3 8 3\n3 3 3\n6 6 6\n3 8 3\n8 8 3\n3 8 3\nOutput:\n3 3 3\n3 2 3\n3 3 3\n\nExample 3:\n\nInput:\n3 8 3\n3 8 8\n8 3 8\n6 6 6\n3 8 8\n3 3 3\n3 8 8\nOutput:\n3 2 3\n3 3 3\n3 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:\n8 3 8\n3 8 3\n8 3 8\n6 6 6\n8 8 3\n3 3 8\n8 8 3\n", "answer": "2 3 3\n3 3 3\n2 3 3", "metadata": {"source_dataset": "arc_agi", "source_index": 199, "input": [[8, 3, 8], [3, 8, 3], [8, 3, 8], [6, 6, 6], [8, 8, 3], [3, 3, 8], [8, 8, 3]], "output": [[2, 3, 3], [3, 3, 3], [2, 3, 3]], "task_id": "0520fde7", "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": 199, "input": [[8, 3, 8], [3, 8, 3], [8, 3, 8], [6, 6, 6], [8, 8, 3], [3, 3, 8], [8, 8, 3]], "output": [[2, 3, 3], [3, 3, 3], [2, 3, 3]], "task_id": "0520fde7", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}