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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: 6 9 5 6 9 5 5 9 9 Output: 6 9 5 2 2 2 2 2 2 6 9 5 2 2 2 2 2 2 5 9 9 2 2 2 2 2 2 6 9 5 2 2 2 2 2 2 6 9 5 2 2 2 2 2 2 5 9 9 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Example 2: Input: 1 9 4 1 9 6 9 1 6 Output: 2 2 2 2 2 2 1 9 4 2 2 2 2 2 2 1 9 6 2 2 2 2 2 2 9 1 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 Example 3: Input: 7 7 7 3 7 3 7 3 7 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 7 7 7 2 2 2 7 7 7 3 7 3 2 2 2 3 7 3 7 3 7 2 2 2 7 3 7 2 2 2 7 7 7 2 2 2 2 2 2 3 7 3 2 2 2 2 2 2 7 3 7 2 2 2 Example 4: Input: 7 7 7 5 8 8 5 8 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 2 2 2 2 2 2 2 2 2 2 2 2 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 2 2 2 2 2 2 5 8 8 2 2 2 2 2 2 5 8 1 Example 5: Input: 5 4 4 5 3 4 5 5 3 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 5 4 4 2 2 2 2 2 2 5 3 4 2 2 2 2 2 2 5 5 3 2 2 2 2 2 2 2 2 2 5 4 4 2 2 2 2 2 2 5 3 4 2 2 2 2 2 2 5 5 3 Example 6: Input: 8 8 8 0 8 0 8 8 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 8 8 8 2 2 2 8 8 8 0 8 0 2 2 2 0 8 0 8 8 0 2 2 2 8 8 0 2 2 2 2 2 2 8 8 8 2 2 2 2 2 2 0 8 0 2 2 2 2 2 2 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: 7 7 6 6 6 7 7 6 6
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 7 6 7 7 6 2 2 2\n6 6 7 6 6 7 2 2 2\n7 6 6 7 6 6 2 2 2\n2 2 2 2 2 2 7 7 6\n2 2 2 2 2 2 6 6 7\n2 2 2 2 2 2 7 6 6\n7 7 6 2 2 2 2 2 2\n6 6 7 2 2 2 2 2 2\n7 6 6 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 9 5\n6 9 5\n5 9 9\nOutput:\n6 9 5 2 2 2 2 2 2\n6 9 5 2 2 2 2 2 2\n5 9 9 2 2 2 2 2 2\n6 9 5 2 2 2 2 2 2\n6 9 5 2 2 2 2 2 2\n5 9 9 2 2 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\nExample 2:\n\nInput:\n1 9 4\n1 9 6\n9 1 6\nOutput:\n2 2 2 2 2 2 1 9 4\n2 2 2 2 2 2 1 9 6\n2 2 2 2 2 2 9 1 6\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\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\nExample 3:\n\nInput:\n7 7 7\n3 7 3\n7 3 7\nOutput:\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\n7 7 7 2 2 2 7 7 7\n3 7 3 2 2 2 3 7 3\n7 3 7 2 2 2 7 3 7\n2 2 2 7 7 7 2 2 2\n2 2 2 3 7 3 2 2 2\n2 2 2 7 3 7 2 2 2\n\nExample 4:\n\nInput:\n7 7 7\n5 8 8\n5 8 1\nOutput:\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\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\n2 2 2 2 2 2 7 7 7\n2 2 2 2 2 2 5 8 8\n2 2 2 2 2 2 5 8 1\n\nExample 5:\n\nInput:\n5 4 4\n5 3 4\n5 5 3\nOutput:\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\n2 2 2 5 4 4 2 2 2\n2 2 2 5 3 4 2 2 2\n2 2 2 5 5 3 2 2 2\n2 2 2 2 2 2 5 4 4\n2 2 2 2 2 2 5 3 4\n2 2 2 2 2 2 5 5 3\n\nExample 6:\n\nInput:\n8 8 8\n0 8 0\n8 8 0\nOutput:\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\n8 8 8 2 2 2 8 8 8\n0 8 0 2 2 2 0 8 0\n8 8 0 2 2 2 8 8 0\n2 2 2 2 2 2 8 8 8\n2 2 2 2 2 2 0 8 0\n2 2 2 2 2 2 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:\n7 7 6\n6 6 7\n7 6 6\n", "answer": "7 7 6 7 7 6 2 2 2\n6 6 7 6 6 7 2 2 2\n7 6 6 7 6 6 2 2 2\n2 2 2 2 2 2 7 7 6\n2 2 2 2 2 2 6 6 7\n2 2 2 2 2 2 7 6 6\n7 7 6 2 2 2 2 2 2\n6 6 7 2 2 2 2 2 2\n7 6 6 2 2 2 2 2 2", "metadata": {"source_dataset": "arc_agi", "source_index": 0, "input": [[7, 7, 6], [6, 6, 7], [7, 6, 6]], "output": [[7, 7, 6, 7, 7, 6, 2, 2, 2], [6, 6, 7, 6, 6, 7, 2, 2, 2], [7, 6, 6, 7, 6, 6, 2, 2, 2], [2, 2, 2, 2, 2, 2, 7, 7, 6], [2, 2, 2, 2, 2, 2, 6, 6, 7], [2, 2, 2, 2, 2, 2, 7, 6, 6], [7, 7, 6, 2, 2, 2, 2, 2, 2], [6, 6, 7, 2, 2, 2, 2, 2, 2], [7, 6, 6, 2, 2, 2, 2, 2, 2]], "task_id": "48f8583b", "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": 0, "input": [[7, 7, 6], [6, 6, 7], [7, 6, 6]], "output": [[7, 7, 6, 7, 7, 6, 2, 2, 2], [6, 6, 7, 6, 6, 7, 2, 2, 2], [7, 6, 6, 7, 6, 6, 2, 2, 2], [2, 2, 2, 2, 2, 2, 7, 7, 6], [2, 2, 2, 2, 2, 2, 6, 6, 7], [2, 2, 2, 2, 2, 2, 7, 6, 6], [7, 7, 6, 2, 2, 2, 2, 2, 2], [6, 6, 7, 2, 2, 2, 2, 2, 2], [7, 6, 6, 2, 2, 2, 2, 2, 2]], "task_id": "48f8583b", "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 7 4 4 7 4 4 4 5 4 4 4 7 4 4 7 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 7 4 4 4 4 4 4 4 4 4 4 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 7 4 4 4 4 4 4 4 4 4 4 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Output: 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 5 4 7 4 4 4 5 4 4 5 4 4 4 7 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 5 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 4 4 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 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 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 4 4 0 0 0 4 4 4 0 0 0 4 4 4 4 4 4 0 4 4 4 4 7 7 7 4 4 4 4 0 4 4 4 0 0 0 4 4 4 4 7 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 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 7 7 7 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 4 4 4 7 7 7 4 4 4 7 7 7 4 4 4 4 4 4 4 4 4 7 4 4 4 4 4 7 4 4 4 4 4 4 7 7 7 4 4 4 4 0 4 4 4 4 7 7 7 4 4 4 7 4 4 4 4 0 0 0 4 4 4 4 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Example 3: Input: 4 4 4 4 4 4 4 4 4 4 4 8 4 8 4 8 4 8 4 4 4 4 8 4 4 4 8 4 4 4 4 4 8 4 4 4 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 4 4 0 0 0 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 Output: 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 0 4 4 4 4 0 0 0 4 0 0 0 4 4 4 4 0 4 4 4 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 4 8 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Example 4: Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 4 9 9 4 9 9 4 4 4 4 9 4 4 9 4 4 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 4 4 8 4 4 4 4 4 4 4 9 4 4 8 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 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 8 4 4 8 4 4 8 4 4 4 4 8 8 4 8 8 4 8 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 4 9 9 4 4 4 4 4 4 4 8 8 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 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 1 4 1 4 4 1 4 1 4 4 4 4 4 4 4 1 4 4 4 4 1 4 4 4 4 4 4 4 1 1 1 4 4 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 2 2 4 4 1 4 1 4 4 4 4 4 4 2 4 2 4 4 4 1 4 4 4 4 4 4 4 4 4 2 4 4 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 2 2 2 4 4 2 2 2 4 4 4 4\n4 4 2 4 2 4 4 2 4 2 4 4 4 4\n4 4 4 4 2 4 4 4 4 2 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 1 4 1 4 4 2 2 2 4 4 4 4\n4 4 4 1 4 4 4 2 4 2 4 4 4 4\n4 4 1 1 1 4 4 4 4 2 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n4 4 4 4 4 4 4 4 4 4\n4 7 4 4 7 4 4 4 5 4\n4 4 7 4 4 7 4 5 4 4\n4 4 4 4 4 4 4 4 4 4\n4 7 4 4 4 4 4 4 4 4\n4 4 7 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 7 4 4 4 4 4 4 4 4\n4 4 7 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\nOutput:\n4 4 4 4 4 4 4 4 4 4\n4 4 5 4 4 5 4 7 4 4\n4 5 4 4 5 4 4 4 7 4\n4 4 4 4 4 4 4 4 4 4\n4 4 5 4 4 4 4 4 4 4\n4 5 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 5 4 4 4 4 4 4 4\n4 5 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n\nExample 2:\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 0 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 0 0 0 4 4 4 4 4 4 4\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4\n4 4 4 4 0 0 0 4 4 4 0 0 0 4 4 4 4\n4 4 0 4 4 4 4 7 7 7 4 4 4 4 0 4 4\n4 0 0 0 4 4 4 4 7 4 4 4 4 0 0 0 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 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\n4 4 4 4 4 4 4 7 7 7 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 7 4 4 4 4 4 4 4 4\n4 4 4 4 7 7 7 4 4 4 7 7 7 4 4 4 4\n4 4 4 4 4 7 4 4 4 4 4 7 4 4 4 4 4\n4 7 7 7 4 4 4 4 0 4 4 4 4 7 7 7 4\n4 4 7 4 4 4 4 0 0 0 4 4 4 4 7 4 4\n4 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\n\nExample 3:\n\nInput:\n4 4 4 4 4 4 4 4 4 4\n4 8 4 8 4 8 4 8 4 4\n4 4 8 4 4 4 8 4 4 4\n4 4 8 4 4 4 8 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 0 4 4 4 4 4 4 4\n4 0 0 0 4 4 4 4 4 4\n4 4 0 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\nOutput:\n4 4 4 4 4 4 4 4 4 4\n4 4 0 4 4 4 0 4 4 4\n4 0 0 0 4 0 0 0 4 4\n4 4 0 4 4 4 0 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 8 4 8 4 4 4 4 4 4\n4 4 8 4 4 4 4 4 4 4\n4 4 8 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n\nExample 4:\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4 4\n4 9 9 4 9 9 4 9 9 4 4 4\n4 9 4 4 9 4 4 9 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 9 9 4 4 8 4 4 4\n4 4 4 4 9 4 4 8 8 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\nOutput:\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 8 4 4 8 4 4 8 4 4 4\n4 8 8 4 8 8 4 8 8 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 8 4 9 9 4 4 4\n4 4 4 4 8 8 4 9 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\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 1 4 1 4 4 1 4 1 4 4 4 4\n4 4 4 1 4 4 4 4 1 4 4 4 4 4\n4 4 1 1 1 4 4 1 1 1 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 2 2 2 4 4 1 4 1 4 4 4 4\n4 4 2 4 2 4 4 4 1 4 4 4 4 4\n4 4 4 4 2 4 4 1 1 1 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4\n", "answer": "4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 2 2 2 4 4 2 2 2 4 4 4 4\n4 4 2 4 2 4 4 2 4 2 4 4 4 4\n4 4 4 4 2 4 4 4 4 2 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 1 4 1 4 4 2 2 2 4 4 4 4\n4 4 4 1 4 4 4 2 4 2 4 4 4 4\n4 4 1 1 1 4 4 4 4 2 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4", "metadata": {"source_dataset": "arc_agi", "source_index": 1, "input": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 1, 4, 1, 4, 4, 1, 4, 1, 4, 4, 4, 4], [4, 4, 4, 1, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4], [4, 4, 1, 1, 1, 4, 4, 1, 1, 1, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 2, 2, 2, 4, 4, 1, 4, 1, 4, 4, 4, 4], [4, 4, 2, 4, 2, 4, 4, 4, 1, 4, 4, 4, 4, 4], [4, 4, 4, 4, 2, 4, 4, 1, 1, 1, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "output": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 2, 2, 2, 4, 4, 2, 2, 2, 4, 4, 4, 4], [4, 4, 2, 4, 2, 4, 4, 2, 4, 2, 4, 4, 4, 4], [4, 4, 4, 4, 2, 4, 4, 4, 4, 2, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 1, 4, 1, 4, 4, 2, 2, 2, 4, 4, 4, 4], [4, 4, 4, 1, 4, 4, 4, 2, 4, 2, 4, 4, 4, 4], [4, 4, 1, 1, 1, 4, 4, 4, 4, 2, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "task_id": "3391f8c0", "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": 1, "input": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 1, 4, 1, 4, 4, 1, 4, 1, 4, 4, 4, 4], [4, 4, 4, 1, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4], [4, 4, 1, 1, 1, 4, 4, 1, 1, 1, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 2, 2, 2, 4, 4, 1, 4, 1, 4, 4, 4, 4], [4, 4, 2, 4, 2, 4, 4, 4, 1, 4, 4, 4, 4, 4], [4, 4, 4, 4, 2, 4, 4, 1, 1, 1, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "output": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 2, 2, 2, 4, 4, 2, 2, 2, 4, 4, 4, 4], [4, 4, 2, 4, 2, 4, 4, 2, 4, 2, 4, 4, 4, 4], [4, 4, 4, 4, 2, 4, 4, 4, 4, 2, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 1, 4, 1, 4, 4, 2, 2, 2, 4, 4, 4, 4], [4, 4, 4, 1, 4, 4, 4, 2, 4, 2, 4, 4, 4, 4], [4, 4, 1, 1, 1, 4, 4, 4, 4, 2, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "task_id": "3391f8c0", "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 6 6 0 6 6 0 0 0 0 0 6 0 3 0 6 0 0 0 0 0 6 0 0 0 6 0 0 0 0 0 6 6 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 0 6 6 0 0 0 0 0 6 0 9 0 6 0 0 0 0 0 6 6 6 6 6 0 0 0 0 Output: 0 0 0 0 3 3 3 3 3 0 0 0 0 0 6 6 3 6 6 0 0 0 0 0 6 3 3 3 6 0 0 0 0 0 6 3 3 3 6 0 0 0 0 0 6 6 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 9 9 9 9 9 0 0 0 0 0 6 6 9 6 6 0 0 0 0 0 6 9 9 9 6 0 0 0 0 0 6 6 6 6 6 0 0 0 0 Example 2: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 0 6 6 0 0 0 0 0 6 0 0 0 6 0 0 0 0 0 6 0 1 0 6 0 0 0 0 0 6 0 0 0 6 0 0 0 0 0 6 6 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 1 0 0 0 0 0 6 6 1 6 6 0 0 0 0 0 6 1 1 1 6 0 0 0 0 0 6 1 1 1 6 0 0 0 0 0 6 1 1 1 6 0 0 0 0 0 6 6 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 6 0 6 6 0 0 0 0 0 6 0 1 0 6 0 0 0 0 0 6 0 0 0 6 0 0 0 0 0 6 6 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 6 6 0 6 6 0 0 0 0 0 6 0 8 0 6 0 0 0 0 0 6 6 6 6 6 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 6 6 1 6 6 0 0 0 0 0 6 1 1 1 6 0 0 0 0 0 6 1 1 1 6 0 0 0 0 0 6 6 6 6 6 0 0 8 8 8 8 8 0 0 0 0 0 6 6 8 6 6 0 0 0 0 0 6 8 8 8 6 0 0 0 0 0 6 6 6 6 6 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 6 6 0 6 6 0 0 0 0 0 6 0 5 0 6 0 0 0 0 0 6 0 0 0 6 0 0 0 0 0 6 6 6 6 6 0 0 0 0 0 0 0 0 0 0 0 6 6 0 6 6 0 0 0 0 0 6 0 4 0 6 0 0 0 0 0 6 0 0 0 6 0 0 0 0 0 6 6 6 6 6 0 0 0 0
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "0 0 0 0 0 5 5 5 5 5\n0 0 0 0 0 6 6 5 6 6\n0 0 0 0 0 6 5 5 5 6\n0 0 0 0 0 6 5 5 5 6\n0 0 0 0 0 6 6 6 6 6\n0 4 4 4 4 4 0 0 0 0\n0 6 6 4 6 6 0 0 0 0\n0 6 4 4 4 6 0 0 0 0\n0 6 4 4 4 6 0 0 0 0\n0 6 6 6 6 6 0 0 0 0", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 6 6 0 6 6 0\n0 0 0 0 6 0 3 0 6 0\n0 0 0 0 6 0 0 0 6 0\n0 0 0 0 6 6 6 6 6 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 6 6 0 6 6 0 0 0 0\n0 6 0 9 0 6 0 0 0 0\n0 6 6 6 6 6 0 0 0 0\nOutput:\n0 0 0 0 3 3 3 3 3 0\n0 0 0 0 6 6 3 6 6 0\n0 0 0 0 6 3 3 3 6 0\n0 0 0 0 6 3 3 3 6 0\n0 0 0 0 6 6 6 6 6 0\n0 0 0 0 0 0 0 0 0 0\n0 9 9 9 9 9 0 0 0 0\n0 6 6 9 6 6 0 0 0 0\n0 6 9 9 9 6 0 0 0 0\n0 6 6 6 6 6 0 0 0 0\n\nExample 2:\n\nInput:\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 6 6 0 6 6 0\n0 0 0 0 6 0 0 0 6 0\n0 0 0 0 6 0 1 0 6 0\n0 0 0 0 6 0 0 0 6 0\n0 0 0 0 6 6 6 6 6 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\nOutput:\n0 0 0 0 1 1 1 1 1 0\n0 0 0 0 6 6 1 6 6 0\n0 0 0 0 6 1 1 1 6 0\n0 0 0 0 6 1 1 1 6 0\n0 0 0 0 6 1 1 1 6 0\n0 0 0 0 6 6 6 6 6 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n\nExample 3:\n\nInput:\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 6 6 0 6 6 0\n0 0 0 0 6 0 1 0 6 0\n0 0 0 0 6 0 0 0 6 0\n0 0 0 0 6 6 6 6 6 0\n0 0 0 0 0 0 0 0 0 0\n0 6 6 0 6 6 0 0 0 0\n0 6 0 8 0 6 0 0 0 0\n0 6 6 6 6 6 0 0 0 0\nOutput:\n0 0 0 0 0 0 0 0 0 0\n0 0 0 0 1 1 1 1 1 0\n0 0 0 0 6 6 1 6 6 0\n0 0 0 0 6 1 1 1 6 0\n0 0 0 0 6 1 1 1 6 0\n0 0 0 0 6 6 6 6 6 0\n0 8 8 8 8 8 0 0 0 0\n0 6 6 8 6 6 0 0 0 0\n0 6 8 8 8 6 0 0 0 0\n0 6 6 6 6 6 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\n0 0 0 0 0 6 6 0 6 6\n0 0 0 0 0 6 0 5 0 6\n0 0 0 0 0 6 0 0 0 6\n0 0 0 0 0 6 6 6 6 6\n0 0 0 0 0 0 0 0 0 0\n0 6 6 0 6 6 0 0 0 0\n0 6 0 4 0 6 0 0 0 0\n0 6 0 0 0 6 0 0 0 0\n0 6 6 6 6 6 0 0 0 0\n", "answer": "0 0 0 0 0 5 5 5 5 5\n0 0 0 0 0 6 6 5 6 6\n0 0 0 0 0 6 5 5 5 6\n0 0 0 0 0 6 5 5 5 6\n0 0 0 0 0 6 6 6 6 6\n0 4 4 4 4 4 0 0 0 0\n0 6 6 4 6 6 0 0 0 0\n0 6 4 4 4 6 0 0 0 0\n0 6 4 4 4 6 0 0 0 0\n0 6 6 6 6 6 0 0 0 0", "metadata": {"source_dataset": "arc_agi", "source_index": 2, "input": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 6, 0, 6, 6], [0, 0, 0, 0, 0, 6, 0, 5, 0, 6], [0, 0, 0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 0, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 0, 4, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 6, 6, 6, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 5, 5, 5, 5, 5], [0, 0, 0, 0, 0, 6, 6, 5, 6, 6], [0, 0, 0, 0, 0, 6, 5, 5, 5, 6], [0, 0, 0, 0, 0, 6, 5, 5, 5, 6], [0, 0, 0, 0, 0, 6, 6, 6, 6, 6], [0, 4, 4, 4, 4, 4, 0, 0, 0, 0], [0, 6, 6, 4, 6, 6, 0, 0, 0, 0], [0, 6, 4, 4, 4, 6, 0, 0, 0, 0], [0, 6, 4, 4, 4, 6, 0, 0, 0, 0], [0, 6, 6, 6, 6, 6, 0, 0, 0, 0]], "task_id": "444801d8", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}
{"source_dataset": "arc_agi", "source_index": 2, "input": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 6, 0, 6, 6], [0, 0, 0, 0, 0, 6, 0, 5, 0, 6], [0, 0, 0, 0, 0, 6, 0, 0, 0, 6], [0, 0, 0, 0, 0, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 6, 6, 0, 0, 0, 0], [0, 6, 0, 4, 0, 6, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 6, 6, 6, 0, 0, 0, 0]], "output": [[0, 0, 0, 0, 0, 5, 5, 5, 5, 5], [0, 0, 0, 0, 0, 6, 6, 5, 6, 6], [0, 0, 0, 0, 0, 6, 5, 5, 5, 6], [0, 0, 0, 0, 0, 6, 5, 5, 5, 6], [0, 0, 0, 0, 0, 6, 6, 6, 6, 6], [0, 4, 4, 4, 4, 4, 0, 0, 0, 0], [0, 6, 6, 4, 6, 6, 0, 0, 0, 0], [0, 6, 4, 4, 4, 6, 0, 0, 0, 0], [0, 6, 4, 4, 4, 6, 0, 0, 0, 0], [0, 6, 6, 6, 6, 6, 0, 0, 0, 0]], "task_id": "444801d8", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 4 4 0 4 2 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 5 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 5 4 0 4 4 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 4 4 0 4 2 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 Output: 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 2 2 2 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 4 4 0 2 2 2 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 4 4 0 2 2 2 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 2 2 2 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 4 4 0 2 2 2 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 4 4 0 2 2 2 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 5 0 6 6 6 0 5 5 5 0 5 5 5 0 5 5 5 0 4 4 5 5 5 0 6 6 6 0 5 5 5 0 5 5 5 0 5 5 5 0 4 4 5 5 5 0 6 6 6 0 5 5 5 0 5 5 5 0 5 5 5 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 2 2 2 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 4 4 0 2 2 2 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 4 4 0 2 2 2 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 2 2 2 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 4 4 0 2 2 2 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 4 4 0 2 2 2 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 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 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 2 4 0 4 4 0 4 4 0 2 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 2 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 5 4 0 4 4 0 4 4 0 4 4 0 4 4 0 5 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 2 4 0 4 4 0 4 4 0 4 4 0 4 4 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 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 4 4 0 4 4 0 2 2 0 2 2 0 2 2 0 2 2 0 4 4 0 4 4 0 4 4 0 4 4 0 2 2 0 2 2 0 2 2 0 2 2 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 4 4 0 4 4 0 2 2 0 4 4 0 4 4 0 2 2 0 4 4 0 4 4 0 4 4 0 4 4 0 2 2 0 4 4 0 4 4 0 2 2 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 4 4 0 4 4 0 2 2 0 4 4 0 4 4 0 2 2 0 4 4 0 4 4 0 4 4 0 4 4 0 2 2 0 4 4 0 4 4 0 2 2 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 4 4 0 4 4 0 2 2 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 2 2 0 4 4 0 4 4 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 4 4 0 4 4 0 2 2 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 2 2 0 4 4 0 4 4 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 5 5 0 5 5 0 6 6 0 5 5 0 5 5 0 5 5 0 4 4 0 4 4 0 5 5 0 5 5 0 6 6 0 5 5 0 5 5 0 5 5 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 4 4 0 4 4 0 2 2 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 2 2 0 4 4 0 4 4 0 4 4 0 4 4 0 Example 3: Input: 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 5 4 4 0 4 4 4 4 4 0 4 4 5 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 2 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 2 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 Output: 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 5 5 5 5 0 5 5 5 5 5 0 5 5 5 5 5 0 4 4 4 4 4 0 4 4 5 5 5 5 5 0 5 5 5 5 5 0 5 5 5 5 5 0 4 4 4 4 4 0 4 4 5 5 5 5 5 0 5 5 5 5 5 0 5 5 5 5 5 0 4 4 4 4 4 0 4 4 5 5 5 5 5 0 5 5 5 5 5 0 5 5 5 5 5 0 4 4 4 4 4 0 4 4 5 5 5 5 5 0 5 5 5 5 5 0 5 5 5 5 5 0 4 4 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 4 4 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 4 4 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 4 4 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 4 4 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 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 0 4 4 4 4 0 4 4 4 4 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 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 0 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 0 0 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 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 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 5 4 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 0 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 0 0 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 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 0 4 4 4 4 0 4 4 4 4 0 4 4 4 4 4 2 4 0 4 4 4 4 0 4 4 4 4 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 0 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 0 0 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 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 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 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 0 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 0 0 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 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 0 4 4 4 4 0 4 4 4 4 0 4 4 4 4 4 2 4 0 4 4 4 4 0 4 4 4 4 0 4 4 4 4 0 4 4 2 4 0 4 4 4 4 4 4 4 0 4 4 4 4 0 4 4 4 4 0 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 0 0 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 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 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 5 4 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 0 4 4 4 4 0 4 4 4 4 0 4 4 4
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "4 4 4 4 0 4 4 4 4 0 4 4 4 4 0 4 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 4 0 4 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 4 0 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 4 4 0 4 4 4 4 0 5 5 5 5 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n4 4 4 4 0 4 4 4 4 0 5 5 5 5 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n4 4 4 4 0 4 4 4 4 0 5 5 5 5 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n4 4 4 4 0 4 4 4 4 0 5 5 5 5 0 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n2 2 2 2 0 4 4 4 4 0 5 5 5 5 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n2 2 2 2 0 4 4 4 4 0 5 5 5 5 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n2 2 2 2 0 4 4 4 4 0 5 5 5 5 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n2 2 2 2 0 4 4 4 4 0 5 5 5 5 0 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n2 2 2 2 0 4 4 4 4 0 5 5 5 5 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n2 2 2 2 0 4 4 4 4 0 5 5 5 5 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n2 2 2 2 0 4 4 4 4 0 5 5 5 5 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n2 2 2 2 0 4 4 4 4 0 5 5 5 5 0 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n2 2 2 2 0 2 2 2 2 0 6 6 6 6 0 2 2 2 2 0 2 2 2 2 0 4 4 4\n2 2 2 2 0 2 2 2 2 0 6 6 6 6 0 2 2 2 2 0 2 2 2 2 0 4 4 4\n2 2 2 2 0 2 2 2 2 0 6 6 6 6 0 2 2 2 2 0 2 2 2 2 0 4 4 4\n2 2 2 2 0 2 2 2 2 0 6 6 6 6 0 2 2 2 2 0 2 2 2 2 0 4 4 4\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 0 0\n4 4 4 4 0 4 4 4 4 0 5 5 5 5 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n4 4 4 4 0 4 4 4 4 0 5 5 5 5 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n4 4 4 4 0 4 4 4 4 0 5 5 5 5 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n4 4 4 4 0 4 4 4 4 0 5 5 5 5 0 4 4 4 4 0 4 4 4 4 0 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 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n4 4 4 0 4 2 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n4 5 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 5 4 0 4 4\n4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n4 4 4 0 4 2 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\nOutput:\n4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 4 0 2 2 2 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n4 4 4 0 2 2 2 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n4 4 4 0 2 2 2 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 4 0 2 2 2 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n4 4 4 0 2 2 2 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n4 4 4 0 2 2 2 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n5 5 5 0 6 6 6 0 5 5 5 0 5 5 5 0 5 5 5 0 4 4\n5 5 5 0 6 6 6 0 5 5 5 0 5 5 5 0 5 5 5 0 4 4\n5 5 5 0 6 6 6 0 5 5 5 0 5 5 5 0 5 5 5 0 4 4\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 4 0 2 2 2 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n4 4 4 0 2 2 2 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n4 4 4 0 2 2 2 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 4 0 2 2 2 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n4 4 4 0 2 2 2 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n4 4 4 0 2 2 2 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n\nExample 2:\n\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0\n4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0\n4 4 0 4 4 0 4 4 0 2 4 0 4 4 0 4 4 0 2 4 0 4 4 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0\n4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0\n4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 2 4 0 4 4 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0\n4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0\n4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0\n4 4 0 5 4 0 4 4 0 4 4 0 4 4 0 4 4 0 5 4 0 4 4 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0\n4 4 0 4 4 0 4 4 0 2 4 0 4 4 0 4 4 0 4 4 0 4 4 0\nOutput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0\n4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0 4 4 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 0 4 4 0 4 4 0 2 2 0 2 2 0 2 2 0 2 2 0 4 4 0\n4 4 0 4 4 0 4 4 0 2 2 0 2 2 0 2 2 0 2 2 0 4 4 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 0 4 4 0 4 4 0 2 2 0 4 4 0 4 4 0 2 2 0 4 4 0\n4 4 0 4 4 0 4 4 0 2 2 0 4 4 0 4 4 0 2 2 0 4 4 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 0 4 4 0 4 4 0 2 2 0 4 4 0 4 4 0 2 2 0 4 4 0\n4 4 0 4 4 0 4 4 0 2 2 0 4 4 0 4 4 0 2 2 0 4 4 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 0 4 4 0 4 4 0 2 2 0 4 4 0 4 4 0 4 4 0 4 4 0\n4 4 0 4 4 0 4 4 0 2 2 0 4 4 0 4 4 0 4 4 0 4 4 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 0 4 4 0 4 4 0 2 2 0 4 4 0 4 4 0 4 4 0 4 4 0\n4 4 0 4 4 0 4 4 0 2 2 0 4 4 0 4 4 0 4 4 0 4 4 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 0 5 5 0 5 5 0 6 6 0 5 5 0 5 5 0 5 5 0 4 4 0\n4 4 0 5 5 0 5 5 0 6 6 0 5 5 0 5 5 0 5 5 0 4 4 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 0 4 4 0 4 4 0 2 2 0 4 4 0 4 4 0 4 4 0 4 4 0\n4 4 0 4 4 0 4 4 0 2 2 0 4 4 0 4 4 0 4 4 0 4 4 0\n\nExample 3:\n\nInput:\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\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\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\n4 4 5 4 4 0 4 4 4 4 4 0 4 4 5 4 4 0 4 4 4 4 4 0 4 4\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\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\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\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\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\n4 4 2 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 2 4 4 0 4 4\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\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\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\nOutput:\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\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\n5 5 5 5 5 0 5 5 5 5 5 0 5 5 5 5 5 0 4 4 4 4 4 0 4 4\n5 5 5 5 5 0 5 5 5 5 5 0 5 5 5 5 5 0 4 4 4 4 4 0 4 4\n5 5 5 5 5 0 5 5 5 5 5 0 5 5 5 5 5 0 4 4 4 4 4 0 4 4\n5 5 5 5 5 0 5 5 5 5 5 0 5 5 5 5 5 0 4 4 4 4 4 0 4 4\n5 5 5 5 5 0 5 5 5 5 5 0 5 5 5 5 5 0 4 4 4 4 4 0 4 4\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\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\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\n2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 4 4\n2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 4 4\n2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 4 4\n2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 4 4\n2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 2 2 2 2 2 0 4 4\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\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 4 4\n4 4 4 4 4 0 4 4 4 4 4 0 4 4 4 4 4 0 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 0 4 4 4 4 0 4 4 4 4 0 4 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 4 0 4 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 4 0 4 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 0 0 0 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 4 0 4 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 4 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n4 4 4 4 0 4 4 4 4 0 4 4 5 4 0 4 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 4 0 4 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 0 0 0 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 4 0 4 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 4 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n4 4 2 4 0 4 4 4 4 0 4 4 4 4 0 4 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 4 0 4 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 0 0 0 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 4 0 4 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 4 0 4 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 4 0 4 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 4 0 4 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 0 0 0 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 4 0 4 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 4 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n4 4 2 4 0 4 4 4 4 0 4 4 4 4 0 4 4 4 4 0 4 4 2 4 0 4 4 4\n4 4 4 4 0 4 4 4 4 0 4 4 4 4 0 4 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 0 0 0 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 4 0 4 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 4 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n4 4 4 4 0 4 4 4 4 0 4 4 5 4 0 4 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 4 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n", "answer": "4 4 4 4 0 4 4 4 4 0 4 4 4 4 0 4 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 4 0 4 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 4 0 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n4 4 4 4 0 4 4 4 4 0 5 5 5 5 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n4 4 4 4 0 4 4 4 4 0 5 5 5 5 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n4 4 4 4 0 4 4 4 4 0 5 5 5 5 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n4 4 4 4 0 4 4 4 4 0 5 5 5 5 0 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n2 2 2 2 0 4 4 4 4 0 5 5 5 5 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n2 2 2 2 0 4 4 4 4 0 5 5 5 5 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n2 2 2 2 0 4 4 4 4 0 5 5 5 5 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n2 2 2 2 0 4 4 4 4 0 5 5 5 5 0 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n2 2 2 2 0 4 4 4 4 0 5 5 5 5 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n2 2 2 2 0 4 4 4 4 0 5 5 5 5 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n2 2 2 2 0 4 4 4 4 0 5 5 5 5 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n2 2 2 2 0 4 4 4 4 0 5 5 5 5 0 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n2 2 2 2 0 2 2 2 2 0 6 6 6 6 0 2 2 2 2 0 2 2 2 2 0 4 4 4\n2 2 2 2 0 2 2 2 2 0 6 6 6 6 0 2 2 2 2 0 2 2 2 2 0 4 4 4\n2 2 2 2 0 2 2 2 2 0 6 6 6 6 0 2 2 2 2 0 2 2 2 2 0 4 4 4\n2 2 2 2 0 2 2 2 2 0 6 6 6 6 0 2 2 2 2 0 2 2 2 2 0 4 4 4\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 0 0\n4 4 4 4 0 4 4 4 4 0 5 5 5 5 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n4 4 4 4 0 4 4 4 4 0 5 5 5 5 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n4 4 4 4 0 4 4 4 4 0 5 5 5 5 0 4 4 4 4 0 4 4 4 4 0 4 4 4\n4 4 4 4 0 4 4 4 4 0 5 5 5 5 0 4 4 4 4 0 4 4 4 4 0 4 4 4", "metadata": {"source_dataset": "arc_agi", "source_index": 3, "input": [[4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 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, 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, 0, 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, 0, 0, 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, 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, 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, 5, 4, 0, 4, 4, 4, 4, 0, 4, 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{"source_dataset": "arc_agi", "source_index": 3, "input": [[4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 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, 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, 0, 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, 0, 0, 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, 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, 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, 5, 4, 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, 0, 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, 0, 0, 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, 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, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 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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 5 6 6 6 6 5 6 6 6 6 6 6 6 5 6 6 6 6 5 5 6 6 6 6 6 6 5 6 6 6 6 5 6 5 5 5 5 5 5 5 6 6 6 6 5 6 6 6 6 5 6 6 5 6 6 6 6 5 6 6 6 6 5 6 6 5 5 5 5 5 5 6 6 6 6 5 6 6 5 6 6 6 6 5 6 5 5 5 5 5 5 5 6 6 6 6 5 6 6 5 6 6 6 6 5 6 6 6 6 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 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 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 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 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 Output: 6 6 6 6 6 6 5 6 6 6 6 5 7 6 6 6 6 6 6 5 6 6 6 6 5 5 6 6 6 6 6 6 5 6 6 6 6 5 6 5 5 5 5 5 5 5 6 6 6 6 5 6 6 6 6 5 6 6 5 6 6 6 6 5 6 6 6 6 5 6 6 5 5 5 5 5 5 6 6 6 6 5 6 6 5 6 6 6 6 5 6 5 5 5 5 5 5 5 6 6 6 6 5 6 7 5 6 6 6 6 5 6 6 6 6 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 8 8 8 8 8 8 8 8 8 8 5 6 6 8 8 8 8 8 8 8 8 8 8 5 6 6 8 8 8 8 8 8 8 8 8 8 5 6 6 8 8 8 8 8 8 8 8 8 8 5 6 6 8 8 8 8 8 8 8 8 8 8 5 6 6 8 8 8 8 8 8 8 8 8 8 5 6 6 8 8 8 8 8 8 8 8 8 8 5 6 6 8 8 8 8 8 8 8 8 8 8 5 6 6 Example 2: Input: 6 6 6 6 6 6 6 6 5 6 6 6 6 5 5 5 5 5 5 5 5 5 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 6 6 5 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 5 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 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 Output: 7 7 7 7 7 7 7 7 5 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 8 8 8 8 8 8 8 8 5 6 6 6 6 8 8 8 8 8 8 8 8 5 6 6 6 6 8 8 8 8 8 8 8 8 5 6 6 6 6 8 8 8 8 8 8 8 8 5 5 5 5 5 8 8 8 8 8 8 8 8 5 6 6 6 6 8 8 8 8 8 8 8 8 5 6 6 6 6 8 8 8 8 8 8 8 8 5 6 6 6 6 8 8 8 8 8 8 8 8 5 6 6 6 6 8 8 8 8 8 8 8 8 5 6 6 6 6 Example 3: Input: 6 6 6 5 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 5 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 5 6 6 Output: 7 7 7 5 6 6 6 6 6 6 6 6 5 6 6 6 7 7 7 5 6 6 6 6 6 6 6 6 5 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 8 8 8 8 8 8 8 8 8 5 6 6 6 6 6 5 8 8 8 8 8 8 8 8 8 5 6 6 6 6 6 5 8 8 8 8 8 8 8 8 8 5 6 6 6 6 6 5 8 8 8 8 8 8 8 8 8 5 6 6 6 6 6 5 8 8 8 8 8 8 8 8 8 5 5 5 5 5 5 5 8 8 8 8 8 8 8 8 8 5 6 6 6 6 6 5 8 8 8 8 8 8 8 8 8 5 6 6 6 6 6 5 8 8 8 8 8 8 8 8 8 5 6 6 6 6 6 5 8 8 8 8 8 8 8 8 8 5 6 6 6 6 6 5 8 8 8 8 8 8 8 8 8 5 6 6 Example 4: Input: 6 6 6 6 6 6 6 6 5 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 5 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 5 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 5 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 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 5 6 6 6 6 6 6 6 Output: 8 8 8 8 8 8 8 8 5 7 7 7 5 6 6 6 8 8 8 8 8 8 8 8 5 7 7 7 5 6 6 6 8 8 8 8 8 8 8 8 5 5 5 5 5 6 6 6 8 8 8 8 8 8 8 8 5 7 7 7 5 6 6 6 8 8 8 8 8 8 8 8 5 7 7 7 5 6 6 6 8 8 8 8 8 8 8 8 5 5 5 5 5 5 5 5 8 8 8 8 8 8 8 8 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 7 7 5 6 6 6 6 6 6 6 6 6 6 6 6 5 7 7 5 6 6 6 6 6 6 6 6 6 6 6 6 5 7 7 5 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 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 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 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 6 5 6 6 6 6 6 6 5 6 6 6 6 6 6 5 6 5 6 6 6 6 6 6 5 5 5 5 6 6 6 5 6 5 6 6 6 6 6 6 5 6 6 6
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5\n6 6 6 6 6 5 8 8 8 8 8 8 8 8 8 8\n5 5 5 5 5 5 8 8 8 8 8 8 8 8 8 8\n6 6 6 6 6 5 8 8 8 8 8 8 8 8 8 8\n6 6 6 6 6 5 8 8 8 8 8 8 8 8 8 8\n6 6 6 6 6 5 8 8 8 8 8 8 8 8 8 8\n6 6 6 6 6 5 8 8 8 8 8 8 8 8 8 8\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n6 6 6 5 7 5 6 6 6 6 6 6 5 7 7 7\n6 6 6 5 7 5 6 6 6 6 6 6 5 5 5 5\n6 6 6 5 7 5 6 6 6 6 6 6 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:\n6 6 6 6 6 6 5 6 6 6 6 5 6\n6 6 6 6 6 6 5 6 6 6 6 5 5\n6 6 6 6 6 6 5 6 6 6 6 5 6\n5 5 5 5 5 5 5 6 6 6 6 5 6\n6 6 6 5 6 6 5 6 6 6 6 5 6\n6 6 6 5 6 6 5 5 5 5 5 5 6\n6 6 6 5 6 6 5 6 6 6 6 5 6\n5 5 5 5 5 5 5 6 6 6 6 5 6\n6 5 6 6 6 6 5 6 6 6 6 5 6\n5 5 5 5 5 5 5 5 5 5 5 5 5\n6 6 6 6 6 6 6 6 6 6 5 6 6\n6 6 6 6 6 6 6 6 6 6 5 6 6\n6 6 6 6 6 6 6 6 6 6 5 6 6\n6 6 6 6 6 6 6 6 6 6 5 6 6\n6 6 6 6 6 6 6 6 6 6 5 6 6\n6 6 6 6 6 6 6 6 6 6 5 6 6\n6 6 6 6 6 6 6 6 6 6 5 6 6\n6 6 6 6 6 6 6 6 6 6 5 6 6\nOutput:\n6 6 6 6 6 6 5 6 6 6 6 5 7\n6 6 6 6 6 6 5 6 6 6 6 5 5\n6 6 6 6 6 6 5 6 6 6 6 5 6\n5 5 5 5 5 5 5 6 6 6 6 5 6\n6 6 6 5 6 6 5 6 6 6 6 5 6\n6 6 6 5 6 6 5 5 5 5 5 5 6\n6 6 6 5 6 6 5 6 6 6 6 5 6\n5 5 5 5 5 5 5 6 6 6 6 5 6\n7 5 6 6 6 6 5 6 6 6 6 5 6\n5 5 5 5 5 5 5 5 5 5 5 5 5\n8 8 8 8 8 8 8 8 8 8 5 6 6\n8 8 8 8 8 8 8 8 8 8 5 6 6\n8 8 8 8 8 8 8 8 8 8 5 6 6\n8 8 8 8 8 8 8 8 8 8 5 6 6\n8 8 8 8 8 8 8 8 8 8 5 6 6\n8 8 8 8 8 8 8 8 8 8 5 6 6\n8 8 8 8 8 8 8 8 8 8 5 6 6\n8 8 8 8 8 8 8 8 8 8 5 6 6\n\nExample 2:\n\nInput:\n6 6 6 6 6 6 6 6 5 6 6 6 6\n5 5 5 5 5 5 5 5 5 6 6 6 6\n6 6 6 6 6 6 6 6 5 6 6 6 6\n6 6 6 6 6 6 6 6 5 6 6 6 6\n6 6 6 6 6 6 6 6 5 6 6 6 6\n6 6 6 6 6 6 6 6 5 5 5 5 5\n6 6 6 6 6 6 6 6 5 6 6 6 6\n6 6 6 6 6 6 6 6 5 6 6 6 6\n6 6 6 6 6 6 6 6 5 6 6 6 6\n6 6 6 6 6 6 6 6 5 6 6 6 6\n6 6 6 6 6 6 6 6 5 6 6 6 6\nOutput:\n7 7 7 7 7 7 7 7 5 6 6 6 6\n5 5 5 5 5 5 5 5 5 6 6 6 6\n8 8 8 8 8 8 8 8 5 6 6 6 6\n8 8 8 8 8 8 8 8 5 6 6 6 6\n8 8 8 8 8 8 8 8 5 6 6 6 6\n8 8 8 8 8 8 8 8 5 5 5 5 5\n8 8 8 8 8 8 8 8 5 6 6 6 6\n8 8 8 8 8 8 8 8 5 6 6 6 6\n8 8 8 8 8 8 8 8 5 6 6 6 6\n8 8 8 8 8 8 8 8 5 6 6 6 6\n8 8 8 8 8 8 8 8 5 6 6 6 6\n\nExample 3:\n\nInput:\n6 6 6 5 6 6 6 6 6 6 6 6 5 6 6 6\n6 6 6 5 6 6 6 6 6 6 6 6 5 6 6 6\n5 5 5 5 6 6 6 6 6 6 6 6 5 6 6 6\n6 6 6 5 6 6 6 6 6 6 6 6 5 6 6 6\n6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5\n6 6 6 5 6 6 6 6 6 6 6 6 6 5 6 6\n6 6 6 5 6 6 6 6 6 6 6 6 6 5 6 6\n6 6 6 5 6 6 6 6 6 6 6 6 6 5 6 6\n6 6 6 5 6 6 6 6 6 6 6 6 6 5 6 6\n6 6 6 5 6 6 6 6 6 6 6 6 6 5 5 5\n5 5 5 5 6 6 6 6 6 6 6 6 6 5 6 6\n6 6 6 5 6 6 6 6 6 6 6 6 6 5 6 6\n6 6 6 5 6 6 6 6 6 6 6 6 6 5 6 6\n6 6 6 5 6 6 6 6 6 6 6 6 6 5 6 6\n6 6 6 5 6 6 6 6 6 6 6 6 6 5 6 6\nOutput:\n7 7 7 5 6 6 6 6 6 6 6 6 5 6 6 6\n7 7 7 5 6 6 6 6 6 6 6 6 5 6 6 6\n5 5 5 5 6 6 6 6 6 6 6 6 5 6 6 6\n6 6 6 5 6 6 6 6 6 6 6 6 5 6 6 6\n6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5\n6 6 6 5 8 8 8 8 8 8 8 8 8 5 6 6\n6 6 6 5 8 8 8 8 8 8 8 8 8 5 6 6\n6 6 6 5 8 8 8 8 8 8 8 8 8 5 6 6\n6 6 6 5 8 8 8 8 8 8 8 8 8 5 6 6\n6 6 6 5 8 8 8 8 8 8 8 8 8 5 5 5\n5 5 5 5 8 8 8 8 8 8 8 8 8 5 6 6\n6 6 6 5 8 8 8 8 8 8 8 8 8 5 6 6\n6 6 6 5 8 8 8 8 8 8 8 8 8 5 6 6\n6 6 6 5 8 8 8 8 8 8 8 8 8 5 6 6\n6 6 6 5 8 8 8 8 8 8 8 8 8 5 6 6\n\nExample 4:\n\nInput:\n6 6 6 6 6 6 6 6 5 6 6 6 5 6 6 6\n6 6 6 6 6 6 6 6 5 6 6 6 5 6 6 6\n6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6\n6 6 6 6 6 6 6 6 5 6 6 6 5 6 6 6\n6 6 6 6 6 6 6 6 5 6 6 6 5 6 6 6\n6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5\n6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6\n5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6\n6 6 6 6 6 5 6 6 5 6 6 6 6 6 6 6\n6 6 6 6 6 5 6 6 5 6 6 6 6 6 6 6\n6 6 6 6 6 5 6 6 5 6 6 6 6 6 6 6\nOutput:\n8 8 8 8 8 8 8 8 5 7 7 7 5 6 6 6\n8 8 8 8 8 8 8 8 5 7 7 7 5 6 6 6\n8 8 8 8 8 8 8 8 5 5 5 5 5 6 6 6\n8 8 8 8 8 8 8 8 5 7 7 7 5 6 6 6\n8 8 8 8 8 8 8 8 5 7 7 7 5 6 6 6\n8 8 8 8 8 8 8 8 5 5 5 5 5 5 5 5\n8 8 8 8 8 8 8 8 5 6 6 6 6 6 6 6\n5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6\n6 6 6 6 6 5 7 7 5 6 6 6 6 6 6 6\n6 6 6 6 6 5 7 7 5 6 6 6 6 6 6 6\n6 6 6 6 6 5 7 7 5 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 5 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5\n6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6\n5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n6 6 6 5 6 5 6 6 6 6 6 6 5 6 6 6\n6 6 6 5 6 5 6 6 6 6 6 6 5 5 5 5\n6 6 6 5 6 5 6 6 6 6 6 6 5 6 6 6\n", "answer": "6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5\n6 6 6 6 6 5 8 8 8 8 8 8 8 8 8 8\n5 5 5 5 5 5 8 8 8 8 8 8 8 8 8 8\n6 6 6 6 6 5 8 8 8 8 8 8 8 8 8 8\n6 6 6 6 6 5 8 8 8 8 8 8 8 8 8 8\n6 6 6 6 6 5 8 8 8 8 8 8 8 8 8 8\n6 6 6 6 6 5 8 8 8 8 8 8 8 8 8 8\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n6 6 6 5 7 5 6 6 6 6 6 6 5 7 7 7\n6 6 6 5 7 5 6 6 6 6 6 6 5 5 5 5\n6 6 6 5 7 5 6 6 6 6 6 6 5 7 7 7", "metadata": {"source_dataset": "arc_agi", "source_index": 4, "input": [[6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 5, 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, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 5, 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], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 5, 6, 5, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6], [6, 6, 6, 5, 6, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5], [6, 6, 6, 5, 6, 5, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6]], "output": [[6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 5, 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], [6, 6, 6, 5, 7, 5, 6, 6, 6, 6, 6, 6, 5, 7, 7, 7], [6, 6, 6, 5, 7, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5], [6, 6, 6, 5, 7, 5, 6, 6, 6, 6, 6, 6, 5, 7, 7, 7]], "task_id": "6455b5f5", "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": 4, "input": [[6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 5, 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, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 5, 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], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 5, 6, 5, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6], [6, 6, 6, 5, 6, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5], [6, 6, 6, 5, 6, 5, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6]], "output": [[6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [5, 5, 5, 5, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [6, 6, 6, 6, 6, 5, 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], [6, 6, 6, 5, 7, 5, 6, 6, 6, 6, 6, 6, 5, 7, 7, 7], [6, 6, 6, 5, 7, 5, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5], [6, 6, 6, 5, 7, 5, 6, 6, 6, 6, 6, 6, 5, 7, 7, 7]], "task_id": "6455b5f5", "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 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 8 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 3 3 3 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 3 3 3 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 3 3 3 3 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 3 3 3 3 6 6 0 8 8 8 8 8 1 1 1 1 1 0 0 0 0 4 4 4 4 6 6 6 6 0 8 8 8 8 8 1 1 1 1 1 0 0 0 0 4 4 4 4 6 6 6 6 0 8 8 3 3 3 3 3 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 3 3 3 3 3 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 3 3 3 3 3 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 3 3 3 3 3 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 3 3 3 3 3 3 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 3 3 3 3 3 3 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 3 3 3 3 3 3 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 3 3 3 3 3 3 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 6 6 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 6 6 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 8 8 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 3 3 3 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 3 3 3 3 1 1 0 0 8 8 8 8 8 1 1 1 1 1 0 0 0 8 8 3 3 3 3 1 1 0 0 8 8 8 8 8 1 1 1 1 1 0 0 0 8 8 3 3 3 3 1 1 0 0 8 8 3 3 3 3 3 3 1 1 0 0 0 4 4 3 3 3 3 6 6 0 0 8 8 3 3 3 3 3 3 1 1 0 0 0 4 4 3 3 3 3 6 6 0 0 8 8 3 3 3 3 3 3 1 1 0 0 0 4 4 3 3 3 3 6 6 0 0 8 8 3 3 3 3 3 3 1 1 0 0 0 4 4 3 3 3 3 6 6 0 0 4 4 3 3 3 3 3 3 6 6 0 0 0 4 4 4 4 6 6 6 6 0 0 4 4 3 3 3 3 3 3 6 6 0 0 0 4 4 4 4 6 6 6 6 0 0 4 4 3 3 3 3 3 3 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 3 3 3 3 3 3 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 6 6 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 6 6 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "0 0 0 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 0 0\n0 0 0 0 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 1 1 1 1 1 0 0 0 0 8 8 8 1 1 1 0 0\n0 8 8 8 8 8 1 1 1 1 1 0 0 0 0 8 8 8 1 1 1 0 0\n0 8 8 3 3 3 3 3 3 1 1 0 0 0 0 8 8 3 3 1 1 0 0\n0 4 4 3 3 3 3 3 3 6 6 0 0 0 0 4 4 3 3 6 6 0 0\n0 4 4 4 4 4 6 6 6 6 6 0 0 0 0 4 4 4 6 6 6 0 0\n0 4 4 4 4 4 6 6 6 6 6 0 0 0 0 4 4 4 6 6 6 0 0\n0 0 0 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 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 8 8 8 8 8 8 8 1 1 1 1 1 1 1 0 0 0 0 0\n0 0 0 0 8 8 8 8 8 8 8 1 1 1 1 1 1 1 0 0 0 0 0\n0 0 0 0 8 8 3 3 3 3 3 3 3 3 3 3 1 1 0 0 0 0 0\n0 0 0 0 8 8 3 3 3 3 3 3 3 3 3 3 1 1 0 0 0 0 0\n0 0 0 0 8 8 3 3 3 3 3 3 3 3 3 3 1 1 0 0 0 0 0\n0 0 0 0 4 4 3 3 3 3 3 3 3 3 3 3 6 6 0 0 0 0 0\n0 0 0 0 4 4 3 3 3 3 3 3 3 3 3 3 6 6 0 0 0 0 0\n0 0 0 0 4 4 3 3 3 3 3 3 3 3 3 3 6 6 0 0 0 0 0\n0 0 0 0 4 4 4 4 4 4 4 6 6 6 6 6 6 6 0 0 0 0 0\n0 0 0 0 4 4 4 4 4 4 4 6 6 6 6 6 6 6 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 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 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 0 0\n0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 0 0 0\n0 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 0 0 0\n0 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 0 0 0\n0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0\n0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0\n0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0\n0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0\n0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0\n0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0\n0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0\n0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 2 0 0 0\n0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 2 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 0 0\n0 0 0 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 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\nOutput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0\n0 8 8 8 8 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 8 8 8 8 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 8 8 3 3 3 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 8 8 3 3 3 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 4 4 3 3 3 3 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 4 4 3 3 3 3 6 6 0 8 8 8 8 8 1 1 1 1 1 0 0 0\n0 4 4 4 4 6 6 6 6 0 8 8 8 8 8 1 1 1 1 1 0 0 0\n0 4 4 4 4 6 6 6 6 0 8 8 3 3 3 3 3 3 1 1 0 0 0\n0 0 0 0 0 0 0 0 0 0 8 8 3 3 3 3 3 3 1 1 0 0 0\n0 0 0 0 0 0 0 0 0 0 8 8 3 3 3 3 3 3 1 1 0 0 0\n0 0 0 0 0 0 0 0 0 0 8 8 3 3 3 3 3 3 1 1 0 0 0\n0 0 0 0 0 0 0 0 0 0 4 4 3 3 3 3 3 3 6 6 0 0 0\n0 0 0 0 0 0 0 0 0 0 4 4 3 3 3 3 3 3 6 6 0 0 0\n0 0 0 0 0 0 0 0 0 0 4 4 3 3 3 3 3 3 6 6 0 0 0\n0 0 0 0 0 0 0 0 0 0 4 4 3 3 3 3 3 3 6 6 0 0 0\n0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 6 6 6 6 6 0 0 0\n0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 6 6 6 6 6 0 0 0\n0 0 0 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 0 0\n0 0 0 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 0 0\n\nExample 2:\n\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 2 0\n0 2 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0\n0 2 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0\n0 2 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0\n0 2 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0\n0 2 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0\n0 2 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0\n0 2 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0\n0 2 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 0\n0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0\n0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0\n0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0\n0 2 2 2 2 2 2 2 2 2 2 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 0 0\n0 0 0 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 0 0\n0 0 0 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 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\nOutput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 1 1 1 1 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 3 3 3 3 1 1 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 3 3 3 3 1 1 0\n0 8 8 8 8 8 1 1 1 1 1 0 0 0 8 8 3 3 3 3 1 1 0\n0 8 8 8 8 8 1 1 1 1 1 0 0 0 8 8 3 3 3 3 1 1 0\n0 8 8 3 3 3 3 3 3 1 1 0 0 0 4 4 3 3 3 3 6 6 0\n0 8 8 3 3 3 3 3 3 1 1 0 0 0 4 4 3 3 3 3 6 6 0\n0 8 8 3 3 3 3 3 3 1 1 0 0 0 4 4 3 3 3 3 6 6 0\n0 8 8 3 3 3 3 3 3 1 1 0 0 0 4 4 3 3 3 3 6 6 0\n0 4 4 3 3 3 3 3 3 6 6 0 0 0 4 4 4 4 6 6 6 6 0\n0 4 4 3 3 3 3 3 3 6 6 0 0 0 4 4 4 4 6 6 6 6 0\n0 4 4 3 3 3 3 3 3 6 6 0 0 0 0 0 0 0 0 0 0 0 0\n0 4 4 3 3 3 3 3 3 6 6 0 0 0 0 0 0 0 0 0 0 0 0\n0 4 4 4 4 4 6 6 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0\n0 4 4 4 4 4 6 6 6 6 6 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 0 0\n0 0 0 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 0 0\n0 0 0 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 0 0\n0 0 0 0 0 0 0 0 0 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 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 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 2 2 0 0\n0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 2 2 0 0\n0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 2 2 0 0\n0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 2 2 0 0\n0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 2 2 0 0\n0 2 2 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 2 2 0 0\n0 0 0 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 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0\n0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0\n0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0\n0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0\n0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0\n0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0\n0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0\n0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0\n0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0\n0 0 0 0 2 2 2 2 2 2 2 2 2 2 2 2 2 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 0 0\n", "answer": "0 0 0 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 0 0\n0 0 0 0 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 1 1 1 1 1 0 0 0 0 8 8 8 1 1 1 0 0\n0 8 8 8 8 8 1 1 1 1 1 0 0 0 0 8 8 8 1 1 1 0 0\n0 8 8 3 3 3 3 3 3 1 1 0 0 0 0 8 8 3 3 1 1 0 0\n0 4 4 3 3 3 3 3 3 6 6 0 0 0 0 4 4 3 3 6 6 0 0\n0 4 4 4 4 4 6 6 6 6 6 0 0 0 0 4 4 4 6 6 6 0 0\n0 4 4 4 4 4 6 6 6 6 6 0 0 0 0 4 4 4 6 6 6 0 0\n0 0 0 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 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 8 8 8 8 8 8 8 1 1 1 1 1 1 1 0 0 0 0 0\n0 0 0 0 8 8 8 8 8 8 8 1 1 1 1 1 1 1 0 0 0 0 0\n0 0 0 0 8 8 3 3 3 3 3 3 3 3 3 3 1 1 0 0 0 0 0\n0 0 0 0 8 8 3 3 3 3 3 3 3 3 3 3 1 1 0 0 0 0 0\n0 0 0 0 8 8 3 3 3 3 3 3 3 3 3 3 1 1 0 0 0 0 0\n0 0 0 0 4 4 3 3 3 3 3 3 3 3 3 3 6 6 0 0 0 0 0\n0 0 0 0 4 4 3 3 3 3 3 3 3 3 3 3 6 6 0 0 0 0 0\n0 0 0 0 4 4 3 3 3 3 3 3 3 3 3 3 6 6 0 0 0 0 0\n0 0 0 0 4 4 4 4 4 4 4 6 6 6 6 6 6 6 0 0 0 0 0\n0 0 0 0 4 4 4 4 4 4 4 6 6 6 6 6 6 6 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 0 0", "metadata": {"source_dataset": "arc_agi", "source_index": 5, "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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "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, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 0, 0, 0, 0, 8, 8, 8, 1, 1, 1, 0, 0], [0, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 0, 0, 0, 0, 8, 8, 8, 1, 1, 1, 0, 0], [0, 8, 8, 3, 3, 3, 3, 3, 3, 1, 1, 0, 0, 0, 0, 8, 8, 3, 3, 1, 1, 0, 0], [0, 4, 4, 3, 3, 3, 3, 3, 3, 6, 6, 0, 0, 0, 0, 4, 4, 3, 3, 6, 6, 0, 0], [0, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 0, 0, 0, 0, 4, 4, 4, 6, 6, 6, 0, 0], [0, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 0, 0, 0, 0, 4, 4, 4, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "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": 5, "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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "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, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 0, 0, 0, 0, 8, 8, 8, 1, 1, 1, 0, 0], [0, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 0, 0, 0, 0, 8, 8, 8, 1, 1, 1, 0, 0], [0, 8, 8, 3, 3, 3, 3, 3, 3, 1, 1, 0, 0, 0, 0, 8, 8, 3, 3, 1, 1, 0, 0], [0, 4, 4, 3, 3, 3, 3, 3, 3, 6, 6, 0, 0, 0, 0, 4, 4, 3, 3, 6, 6, 0, 0], [0, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 0, 0, 0, 0, 4, 4, 4, 6, 6, 6, 0, 0], [0, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 0, 0, 0, 0, 4, 4, 4, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "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]}}
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 Output: 9 9 9 0 9 9 9 0 9 9 9 0 9 9 9 9 9 9 0 9 9 9 0 9 9 9 0 9 9 9 9 9 9 0 9 9 9 0 9 9 9 0 9 9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 9 9 0 9 9 9 0 9 9 9 0 9 9 9 9 9 9 0 9 9 9 0 9 9 9 0 9 9 9 9 9 9 0 9 9 9 0 9 9 9 0 9 9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 9 9 0 9 9 9 0 9 9 9 0 9 9 9 9 9 9 0 9 9 9 0 9 9 9 0 9 9 9 9 9 9 0 9 9 9 0 9 9 9 0 9 9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 9 9 0 9 9 9 0 9 9 9 0 9 9 9 9 9 9 0 9 9 9 0 9 9 9 0 9 9 9 9 9 9 0 9 9 9 0 9 9 9 0 9 9 9 Example 2: Input: 2 2 2 2 Output: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 9 9 2 Example 3: Input: 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 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 4 9 9 9 9 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
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "9 9 9 9 9 7 9 9 9 9 9 7 9 9 9\n9 9 9 9 9 7 9 9 9 9 9 7 9 9 9\n9 9 9 9 9 7 9 9 9 9 9 7 9 9 9\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n9 9 9 9 9 7 9 9 9 9 9 7 9 9 9\n9 9 9 9 9 7 9 9 9 9 9 7 9 9 9\n9 9 9 9 9 7 9 9 9 9 9 7 9 9 9\n9 9 9 9 9 7 9 9 9 9 9 7 9 9 9\n9 9 9 9 9 7 9 9 9 9 9 7 9 9 9\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n9 9 9 9 9 7 9 9 9 9 9 7 9 9 9\n9 9 9 9 9 7 9 9 9 9 9 7 9 9 9\n9 9 9 9 9 7 9 9 9 9 9 7 9 9 9\n9 9 9 9 9 7 9 9 9 9 9 7 9 9 9\n9 9 9 9 9 7 9 9 9 9 9 7 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 0 0\n0 0 0\n0 0 0\nOutput:\n9 9 9 0 9 9 9 0 9 9 9 0 9 9 9\n9 9 9 0 9 9 9 0 9 9 9 0 9 9 9\n9 9 9 0 9 9 9 0 9 9 9 0 9 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 9 0 9 9 9 0 9 9 9 0 9 9 9\n9 9 9 0 9 9 9 0 9 9 9 0 9 9 9\n9 9 9 0 9 9 9 0 9 9 9 0 9 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 9 0 9 9 9 0 9 9 9 0 9 9 9\n9 9 9 0 9 9 9 0 9 9 9 0 9 9 9\n9 9 9 0 9 9 9 0 9 9 9 0 9 9 9\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 9 0 9 9 9 0 9 9 9 0 9 9 9\n9 9 9 0 9 9 9 0 9 9 9 0 9 9 9\n9 9 9 0 9 9 9 0 9 9 9 0 9 9 9\n\nExample 2:\n\nInput:\n2 2\n2 2\nOutput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n9 9 2 9 9 2 9 9 2 9 9 2 9 9 2\n9 9 2 9 9 2 9 9 2 9 9 2 9 9 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n9 9 2 9 9 2 9 9 2 9 9 2 9 9 2\n9 9 2 9 9 2 9 9 2 9 9 2 9 9 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n9 9 2 9 9 2 9 9 2 9 9 2 9 9 2\n9 9 2 9 9 2 9 9 2 9 9 2 9 9 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n9 9 2 9 9 2 9 9 2 9 9 2 9 9 2\n9 9 2 9 9 2 9 9 2 9 9 2 9 9 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n9 9 2 9 9 2 9 9 2 9 9 2 9 9 2\n9 9 2 9 9 2 9 9 2 9 9 2 9 9 2\n\nExample 3:\n\nInput:\n4 4 4 4\n4 4 4 4\n4 4 4 4\n4 4 4 4\nOutput:\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 4 9 9 9 9 4 9 9 9 9 4\n9 9 9 9 4 9 9 9 9 4 9 9 9 9 4\n9 9 9 9 4 9 9 9 9 4 9 9 9 9 4\n9 9 9 9 4 9 9 9 9 4 9 9 9 9 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 4 9 9 9 9 4 9 9 9 9 4\n9 9 9 9 4 9 9 9 9 4 9 9 9 9 4\n9 9 9 9 4 9 9 9 9 4 9 9 9 9 4\n9 9 9 9 4 9 9 9 9 4 9 9 9 9 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n9 9 9 9 4 9 9 9 9 4 9 9 9 9 4\n9 9 9 9 4 9 9 9 9 4 9 9 9 9 4\n9 9 9 9 4 9 9 9 9 4 9 9 9 9 4\n9 9 9 9 4 9 9 9 9 4 9 9 9 9 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\n7 7 7 7 7\n7 7 7 7 7\n7 7 7 7 7\n7 7 7 7 7\n", "answer": "9 9 9 9 9 7 9 9 9 9 9 7 9 9 9\n9 9 9 9 9 7 9 9 9 9 9 7 9 9 9\n9 9 9 9 9 7 9 9 9 9 9 7 9 9 9\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n9 9 9 9 9 7 9 9 9 9 9 7 9 9 9\n9 9 9 9 9 7 9 9 9 9 9 7 9 9 9\n9 9 9 9 9 7 9 9 9 9 9 7 9 9 9\n9 9 9 9 9 7 9 9 9 9 9 7 9 9 9\n9 9 9 9 9 7 9 9 9 9 9 7 9 9 9\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n9 9 9 9 9 7 9 9 9 9 9 7 9 9 9\n9 9 9 9 9 7 9 9 9 9 9 7 9 9 9\n9 9 9 9 9 7 9 9 9 9 9 7 9 9 9\n9 9 9 9 9 7 9 9 9 9 9 7 9 9 9\n9 9 9 9 9 7 9 9 9 9 9 7 9 9 9", "metadata": {"source_dataset": "arc_agi", "source_index": 6, "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]], "output": [[9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9], [9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9], [9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9], [9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9], [9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9], [9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9], [9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9], [9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9], [9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9], [9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9], [9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9]], "task_id": "695367ec", "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": 6, "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]], "output": [[9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9], [9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9], [9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9], [9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9], [9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9], [9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9], [9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9], [9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9], [9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9], [9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9], [9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 7, 9, 9, 9]], "task_id": "695367ec", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null
General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 9 9 9 9 9 1 1 1 1 1 4 4 1 1 1 1 1 1 1 1 5 5 4 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 Output: 9 9 9 9 9 9 9 9 9 9 4 4 1 1 1 1 1 1 4 4 5 5 4 1 1 1 1 4 5 5 5 1 1 1 1 1 1 1 1 5 Example 2: Input: 2 2 2 2 2 1 1 1 1 1 5 5 5 5 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 9 9 1 1 1 1 1 1 1 1 Output: 2 2 2 2 2 2 2 2 2 2 5 5 5 5 1 1 5 5 5 5 3 1 1 1 1 1 1 1 1 3 9 9 1 1 1 1 1 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: 3 5 1 1 1 1 1 1 1 1 3 5 5 1 1 1 1 1 1 1 6 6 6 6 6 1 1 1 1 1 8 8 8 8 1 1 1 1 1 1
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "3 5 1 1 1 1 1 1 5 3\n3 5 5 1 1 1 1 5 5 3\n6 6 6 6 6 6 6 6 6 6\n8 8 8 8 1 1 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:\n9 9 9 9 9 1 1 1 1 1\n4 4 1 1 1 1 1 1 1 1\n5 5 4 1 1 1 1 1 1 1\n5 1 1 1 1 1 1 1 1 1\nOutput:\n9 9 9 9 9 9 9 9 9 9\n4 4 1 1 1 1 1 1 4 4\n5 5 4 1 1 1 1 4 5 5\n5 1 1 1 1 1 1 1 1 5\n\nExample 2:\n\nInput:\n2 2 2 2 2 1 1 1 1 1\n5 5 5 5 1 1 1 1 1 1\n3 1 1 1 1 1 1 1 1 1\n9 9 1 1 1 1 1 1 1 1\nOutput:\n2 2 2 2 2 2 2 2 2 2\n5 5 5 5 1 1 5 5 5 5\n3 1 1 1 1 1 1 1 1 3\n9 9 1 1 1 1 1 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:\n3 5 1 1 1 1 1 1 1 1\n3 5 5 1 1 1 1 1 1 1\n6 6 6 6 6 1 1 1 1 1\n8 8 8 8 1 1 1 1 1 1\n", "answer": "3 5 1 1 1 1 1 1 5 3\n3 5 5 1 1 1 1 5 5 3\n6 6 6 6 6 6 6 6 6 6\n8 8 8 8 1 1 8 8 8 8", "metadata": {"source_dataset": "arc_agi", "source_index": 7, "input": [[3, 5, 1, 1, 1, 1, 1, 1, 1, 1], [3, 5, 5, 1, 1, 1, 1, 1, 1, 1], [6, 6, 6, 6, 6, 1, 1, 1, 1, 1], [8, 8, 8, 8, 1, 1, 1, 1, 1, 1]], "output": [[3, 5, 1, 1, 1, 1, 1, 1, 5, 3], [3, 5, 5, 1, 1, 1, 1, 5, 5, 3], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 1, 1, 8, 8, 8, 8]], "task_id": "f25ffba3", "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": 7, "input": [[3, 5, 1, 1, 1, 1, 1, 1, 1, 1], [3, 5, 5, 1, 1, 1, 1, 1, 1, 1], [6, 6, 6, 6, 6, 1, 1, 1, 1, 1], [8, 8, 8, 8, 1, 1, 1, 1, 1, 1]], "output": [[3, 5, 1, 1, 1, 1, 1, 1, 5, 3], [3, 5, 5, 1, 1, 1, 1, 5, 5, 3], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [8, 8, 8, 8, 1, 1, 8, 8, 8, 8]], "task_id": "f25ffba3", "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 3 Output: 3 4 3 4 4 3 4 3 3 4 3 4 4 3 4 3 Example 2: Input: 8 4 4 8 8 8 4 4 8 Output: 8 4 4 8 4 4 8 4 4 8 8 8 8 8 8 8 8 8 4 4 8 4 4 8 4 4 8 8 4 4 8 4 4 8 4 4 8 8 8 8 8 8 8 8 8 4 4 8 4 4 8 4 4 8 8 4 4 8 4 4 8 4 4 8 8 8 8 8 8 8 8 8 4 4 8 4 4 8 4 4 8 Example 3: Input: 0 4 0 4 0 4 0 0 0 Output: 0 4 0 0 4 0 0 4 0 4 0 4 4 0 4 4 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 4 0 0 4 0 4 0 4 4 0 4 4 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 4 0 0 4 0 4 0 4 4 0 4 4 0 4 0 0 0 0 0 0 0 0 0 Example 4: Input: 4 4 9 4 9 9 9 9 4 4 9 4 9 4 9 4 Output: 4 4 9 4 4 4 9 4 4 4 9 4 4 4 9 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 4 4 9 4 4 4 9 4 4 4 9 4 4 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 4 4 9 4 4 4 9 4 4 4 9 4 4 4 9 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 4 4 9 4 4 4 9 4 4 4 9 4 4 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 4 4 9 4 4 4 9 4 4 4 9 4 4 4 9 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 4 4 9 4 4 4 9 4 4 4 9 4 4 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 4 4 9 4 4 4 9 4 4 4 9 4 4 4 9 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 4 4 9 4 4 4 9 4 4 4 9 4 4 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 Example 5: Input: 4 5 5 5 Output: 4 5 4 5 5 5 5 5 4 5 4 5 5 5 5 5 Example 6: Input: 4 0 4 4 4 0 4 0 0 4 0 4 4 0 0 0 Output: 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 4 0 0 0 4 0 0 0 4 0 0 0 4 0 0 0 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 4 0 0 0 4 0 0 0 4 0 0 0 4 0 0 0 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 4 0 0 0 4 0 0 0 4 0 0 0 4 0 0 0 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 4 0 0 0 4 0 0 0 4 0 0 0 4 0 0 0 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 4 4 8 8 4 8 8 8 8 8 4 4 8 8 4 8 8 8 8 8 8 4 8 8 4
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 4 8 8 4 8 4 8 8 4 8 4 8 8 4 8 4 8 8 4 8 4 8 8 4\n4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 4 8 8 4 8 4 8 8 4 8 4 8 8 4 8 4 8 8 4 8 4 8 8 4\n4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 4 8 8 4 8 4 8 8 4 8 4 8 8 4 8 4 8 8 4 8 4 8 8 4\n4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 4 8 8 4 8 4 8 8 4 8 4 8 8 4 8 4 8 8 4 8 4 8 8 4\n4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 4 8 8 4 8 4 8 8 4 8 4 8 8 4 8 4 8 8 4 8 4 8 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\n4 3\nOutput:\n3 4 3 4\n4 3 4 3\n3 4 3 4\n4 3 4 3\n\nExample 2:\n\nInput:\n8 4 4\n8 8 8\n4 4 8\nOutput:\n8 4 4 8 4 4 8 4 4\n8 8 8 8 8 8 8 8 8\n4 4 8 4 4 8 4 4 8\n8 4 4 8 4 4 8 4 4\n8 8 8 8 8 8 8 8 8\n4 4 8 4 4 8 4 4 8\n8 4 4 8 4 4 8 4 4\n8 8 8 8 8 8 8 8 8\n4 4 8 4 4 8 4 4 8\n\nExample 3:\n\nInput:\n0 4 0\n4 0 4\n0 0 0\nOutput:\n0 4 0 0 4 0 0 4 0\n4 0 4 4 0 4 4 0 4\n0 0 0 0 0 0 0 0 0\n0 4 0 0 4 0 0 4 0\n4 0 4 4 0 4 4 0 4\n0 0 0 0 0 0 0 0 0\n0 4 0 0 4 0 0 4 0\n4 0 4 4 0 4 4 0 4\n0 0 0 0 0 0 0 0 0\n\nExample 4:\n\nInput:\n4 4 9 4\n9 9 9 9\n4 4 9 4\n9 4 9 4\nOutput:\n4 4 9 4 4 4 9 4 4 4 9 4 4 4 9 4\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n4 4 9 4 4 4 9 4 4 4 9 4 4 4 9 4\n9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4\n4 4 9 4 4 4 9 4 4 4 9 4 4 4 9 4\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n4 4 9 4 4 4 9 4 4 4 9 4 4 4 9 4\n9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4\n4 4 9 4 4 4 9 4 4 4 9 4 4 4 9 4\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n4 4 9 4 4 4 9 4 4 4 9 4 4 4 9 4\n9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4\n4 4 9 4 4 4 9 4 4 4 9 4 4 4 9 4\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n4 4 9 4 4 4 9 4 4 4 9 4 4 4 9 4\n9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4\n\nExample 5:\n\nInput:\n4 5\n5 5\nOutput:\n4 5 4 5\n5 5 5 5\n4 5 4 5\n5 5 5 5\n\nExample 6:\n\nInput:\n4 0 4 4\n4 0 4 0\n0 4 0 4\n4 0 0 0\nOutput:\n4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0\n0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4\n4 0 0 0 4 0 0 0 4 0 0 0 4 0 0 0\n4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0\n0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4\n4 0 0 0 4 0 0 0 4 0 0 0 4 0 0 0\n4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0\n0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4\n4 0 0 0 4 0 0 0 4 0 0 0 4 0 0 0\n4 0 4 4 4 0 4 4 4 0 4 4 4 0 4 4\n4 0 4 0 4 0 4 0 4 0 4 0 4 0 4 0\n0 4 0 4 0 4 0 4 0 4 0 4 0 4 0 4\n4 0 0 0 4 0 0 0 4 0 0 0 4 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 4 8 8 4\n8 8 8 8 8\n4 4 8 8 4\n8 8 8 8 8\n8 4 8 8 4\n", "answer": "4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 4 8 8 4 8 4 8 8 4 8 4 8 8 4 8 4 8 8 4 8 4 8 8 4\n4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 4 8 8 4 8 4 8 8 4 8 4 8 8 4 8 4 8 8 4 8 4 8 8 4\n4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 4 8 8 4 8 4 8 8 4 8 4 8 8 4 8 4 8 8 4 8 4 8 8 4\n4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 4 8 8 4 8 4 8 8 4 8 4 8 8 4 8 4 8 8 4 8 4 8 8 4\n4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 8 8 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 4 8 8 4 8 4 8 8 4 8 4 8 8 4 8 4 8 8 4 8 4 8 8 4", "metadata": {"source_dataset": "arc_agi", "source_index": 8, "input": [[4, 4, 8, 8, 4], [8, 8, 8, 8, 8], [4, 4, 8, 8, 4], [8, 8, 8, 8, 8], [8, 4, 8, 8, 4]], "output": [[4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 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], [4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 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, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4], [4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 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], [4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 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, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4], [4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 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], [4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 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, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4], [4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 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], [4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 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, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4], [4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 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], [4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 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, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4]], "task_id": "ccd554ac", "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": 8, "input": [[4, 4, 8, 8, 4], [8, 8, 8, 8, 8], [4, 4, 8, 8, 4], [8, 8, 8, 8, 8], [8, 4, 8, 8, 4]], "output": [[4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 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], [4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 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, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4], [4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 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], [4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 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, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4], [4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 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], [4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 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, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4], [4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 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], [4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 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, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4], [4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 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], [4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 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, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4, 8, 4, 8, 8, 4]], "task_id": "ccd554ac", "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 7 9 9 3 9 9 9 9 9 9 9 9 9 4 4 9 9 9 9 9 9 9 9 9 9 4 4 9 9 9 9 9 9 9 9 9 8 9 9 1 9 9 9 9 9 9 9 9 9 9 3 9 9 1 9 9 9 9 9 9 9 9 9 4 4 9 9 9 9 9 9 9 9 9 9 4 4 9 9 7 9 9 8 9 9 9 8 9 9 7 9 9 4 4 9 9 9 9 9 9 9 9 9 9 4 4 9 9 9 9 9 9 9 9 9 1 9 9 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 9 9 9 9 8 9 8 9 9 7 9 7 9 9 9 9 9 8 9 4 4 9 7 9 9 9 9 9 9 9 8 4 4 7 9 9 9 9 9 9 9 9 1 8 7 3 9 9 9 9 9 9 9 1 9 7 8 9 3 3 9 9 9 9 1 9 7 9 9 4 4 3 1 9 9 1 9 7 9 9 9 4 4 9 9 1 1 9 7 9 9 9 7 9 9 1 9 9 4 4 9 9 9 7 9 9 9 9 9 9 4 4 9 9 7 9 9 9 9 9 9 3 9 9 8 7 9 9 9 9 9 9 3 9 9 9 7 8 9 9 9 9 9 9 Example 2: Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 3 9 9 9 9 9 9 4 4 9 9 9 9 9 9 9 4 4 9 9 9 9 9 9 7 9 9 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 Output: 7 9 9 9 9 9 9 8 9 9 7 9 9 9 9 8 9 9 9 9 7 9 9 8 9 9 9 9 9 9 4 4 9 9 9 9 9 9 9 4 4 9 9 9 9 9 9 1 9 9 3 9 9 9 9 1 9 9 9 9 3 9 9 1 9 9 9 9 9 9 3 9 9 9 9 9 9 9 9 9 3 Example 3: Input: 8 9 9 1 9 9 9 9 9 4 4 9 9 9 9 9 9 4 4 9 9 9 9 9 3 9 9 7 9 9 9 9 9 9 9 3 9 9 1 9 9 9 9 9 4 4 9 9 9 9 9 9 4 4 9 9 9 9 9 7 9 9 8 9 Output: 3 9 9 8 9 9 9 9 9 4 4 9 9 9 9 9 9 4 4 9 9 9 9 9 7 9 7 1 9 9 9 3 9 9 9 7 1 9 3 9 9 9 9 9 4 4 9 9 9 9 9 9 4 4 9 9 9 9 9 8 9 9 1 9 Example 4: Input: 9 9 9 9 9 9 3 9 9 1 9 9 9 9 9 9 9 9 9 4 4 9 9 9 7 9 9 1 9 9 9 4 4 9 9 9 9 4 4 9 9 9 7 9 9 8 9 9 9 4 4 9 9 9 9 9 9 9 9 9 3 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 3 9 9 1 9 9 9 9 9 9 9 9 9 4 4 9 9 9 9 9 9 9 9 9 9 4 4 9 9 9 9 9 9 9 9 9 8 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 Output: 8 9 9 9 9 7 7 9 9 3 9 9 9 8 9 9 7 9 9 4 4 9 9 9 3 9 8 7 9 9 9 4 4 9 9 9 9 4 4 8 9 9 8 9 9 1 9 9 9 4 4 9 8 8 9 9 9 9 1 3 8 9 9 1 8 8 9 9 9 9 3 1 9 9 9 8 1 9 8 9 9 3 9 9 9 9 8 9 9 1 9 4 4 9 9 9 9 8 9 9 9 9 1 4 4 9 9 9 8 9 9 9 9 9 7 1 9 1 9 9 9 9 9 9 9 7 9 9 1 9 1 9 9 9 9 9 7 9 9 9 9 1 9 1 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 9 9 8 9 9 7 9 9 9 9 9 4 4 9 9 9 9 9 9 4 4 9 9 9 9 9 1 9 9 3 9 9 1 9 9 3 9 9 9 9 9 4 4 9 9 9 9 9 9 4 4 9 9 9 9 9 7 9 9 8 9 9 9 9
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "9 9 1 9 9 8 9 1\n9 9 9 4 4 9 1 9\n9 9 9 4 4 1 9 9\n9 9 3 9 1 7 9 9\n7 3 9 1 9 9 7 9\n3 4 4 9 9 9 9 7\n9 4 4 9 9 9 9 9\n8 9 9 3 9 9 9 9", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n9 9 9 9 9 9 7 9 9 3 9 9\n9 9 9 9 9 9 9 4 4 9 9 9\n9 9 9 9 9 9 9 4 4 9 9 9\n9 9 9 9 9 9 8 9 9 1 9 9\n9 9 9 9 9 9 9 9 3 9 9 1\n9 9 9 9 9 9 9 9 9 4 4 9\n9 9 9 9 9 9 9 9 9 4 4 9\n9 7 9 9 8 9 9 9 8 9 9 7\n9 9 4 4 9 9 9 9 9 9 9 9\n9 9 4 4 9 9 9 9 9 9 9 9\n9 1 9 9 3 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9\nOutput:\n9 9 9 9 8 9 8 9 9 7 9 7\n9 9 9 9 9 8 9 4 4 9 7 9\n9 9 9 9 9 9 8 4 4 7 9 9\n9 9 9 9 9 9 1 8 7 3 9 9\n9 9 9 9 9 1 9 7 8 9 3 3\n9 9 9 9 1 9 7 9 9 4 4 3\n1 9 9 1 9 7 9 9 9 4 4 9\n9 1 1 9 7 9 9 9 7 9 9 1\n9 9 4 4 9 9 9 7 9 9 9 9\n9 9 4 4 9 9 7 9 9 9 9 9\n9 3 9 9 8 7 9 9 9 9 9 9\n3 9 9 9 7 8 9 9 9 9 9 9\n\nExample 2:\n\nInput:\n9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9\n9 9 8 9 9 3 9 9 9\n9 9 9 4 4 9 9 9 9\n9 9 9 4 4 9 9 9 9\n9 9 7 9 9 1 9 9 9\n9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9\nOutput:\n7 9 9 9 9 9 9 8 9\n9 7 9 9 9 9 8 9 9\n9 9 7 9 9 8 9 9 9\n9 9 9 4 4 9 9 9 9\n9 9 9 4 4 9 9 9 9\n9 9 1 9 9 3 9 9 9\n9 1 9 9 9 9 3 9 9\n1 9 9 9 9 9 9 3 9\n9 9 9 9 9 9 9 9 3\n\nExample 3:\n\nInput:\n8 9 9 1 9 9 9 9\n9 4 4 9 9 9 9 9\n9 4 4 9 9 9 9 9\n3 9 9 7 9 9 9 9\n9 9 9 3 9 9 1 9\n9 9 9 9 4 4 9 9\n9 9 9 9 4 4 9 9\n9 9 9 7 9 9 8 9\nOutput:\n3 9 9 8 9 9 9 9\n9 4 4 9 9 9 9 9\n9 4 4 9 9 9 9 9\n7 9 7 1 9 9 9 3\n9 9 9 7 1 9 3 9\n9 9 9 9 4 4 9 9\n9 9 9 9 4 4 9 9\n9 9 9 8 9 9 1 9\n\nExample 4:\n\nInput:\n9 9 9 9 9 9 3 9 9 1 9 9\n9 9 9 9 9 9 9 4 4 9 9 9\n7 9 9 1 9 9 9 4 4 9 9 9\n9 4 4 9 9 9 7 9 9 8 9 9\n9 4 4 9 9 9 9 9 9 9 9 9\n3 9 9 8 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 3 9 9 1 9 9\n9 9 9 9 9 9 9 4 4 9 9 9\n9 9 9 9 9 9 9 4 4 9 9 9\n9 9 9 9 9 9 8 9 9 7 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:\n8 9 9 9 9 7 7 9 9 3 9 9\n9 8 9 9 7 9 9 4 4 9 9 9\n3 9 8 7 9 9 9 4 4 9 9 9\n9 4 4 8 9 9 8 9 9 1 9 9\n9 4 4 9 8 8 9 9 9 9 1 3\n8 9 9 1 8 8 9 9 9 9 3 1\n9 9 9 8 1 9 8 9 9 3 9 9\n9 9 8 9 9 1 9 4 4 9 9 9\n9 8 9 9 9 9 1 4 4 9 9 9\n8 9 9 9 9 9 7 1 9 1 9 9\n9 9 9 9 9 7 9 9 1 9 1 9\n9 9 9 9 7 9 9 9 9 1 9 1\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n9 9 8 9 9 7 9 9\n9 9 9 4 4 9 9 9\n9 9 9 4 4 9 9 9\n9 9 1 9 9 3 9 9\n1 9 9 3 9 9 9 9\n9 4 4 9 9 9 9 9\n9 4 4 9 9 9 9 9\n7 9 9 8 9 9 9 9\n", "answer": "9 9 1 9 9 8 9 1\n9 9 9 4 4 9 1 9\n9 9 9 4 4 1 9 9\n9 9 3 9 1 7 9 9\n7 3 9 1 9 9 7 9\n3 4 4 9 9 9 9 7\n9 4 4 9 9 9 9 9\n8 9 9 3 9 9 9 9", "metadata": {"source_dataset": "arc_agi", "source_index": 9, "input": [[9, 9, 8, 9, 9, 7, 9, 9], [9, 9, 9, 4, 4, 9, 9, 9], [9, 9, 9, 4, 4, 9, 9, 9], [9, 9, 1, 9, 9, 3, 9, 9], [1, 9, 9, 3, 9, 9, 9, 9], [9, 4, 4, 9, 9, 9, 9, 9], [9, 4, 4, 9, 9, 9, 9, 9], [7, 9, 9, 8, 9, 9, 9, 9]], "output": [[9, 9, 1, 9, 9, 8, 9, 1], [9, 9, 9, 4, 4, 9, 1, 9], [9, 9, 9, 4, 4, 1, 9, 9], [9, 9, 3, 9, 1, 7, 9, 9], [7, 3, 9, 1, 9, 9, 7, 9], [3, 4, 4, 9, 9, 9, 9, 7], [9, 4, 4, 9, 9, 9, 9, 9], [8, 9, 9, 3, 9, 9, 9, 9]], "task_id": "85fa5666", "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": 9, "input": [[9, 9, 8, 9, 9, 7, 9, 9], [9, 9, 9, 4, 4, 9, 9, 9], [9, 9, 9, 4, 4, 9, 9, 9], [9, 9, 1, 9, 9, 3, 9, 9], [1, 9, 9, 3, 9, 9, 9, 9], [9, 4, 4, 9, 9, 9, 9, 9], [9, 4, 4, 9, 9, 9, 9, 9], [7, 9, 9, 8, 9, 9, 9, 9]], "output": [[9, 9, 1, 9, 9, 8, 9, 1], [9, 9, 9, 4, 4, 9, 1, 9], [9, 9, 9, 4, 4, 1, 9, 9], [9, 9, 3, 9, 1, 7, 9, 9], [7, 3, 9, 1, 9, 9, 7, 9], [3, 4, 4, 9, 9, 9, 9, 7], [9, 4, 4, 9, 9, 9, 9, 9], [8, 9, 9, 3, 9, 9, 9, 9]], "task_id": "85fa5666", "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 1 1 1 1 1 4 1 1 1 8 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 4 1 1 1 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 4 1 1 1 Output: 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 4 1 4 4 4 4 4 4 4 4 4 4 1 1 1 1 1 1 1 1 4 1 Example 2: Input: 8 1 1 1 1 1 0 1 1 1 8 1 1 1 1 1 0 1 1 1 8 1 1 1 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 Output: 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 Example 3: Input: 8 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 Output: 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1 Example 4: Input: 8 1 1 3 1 1 1 1 1 1 8 1 1 3 1 1 1 1 1 1 8 1 1 3 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 3 3 3 3 3 3 3 3 3 3 1 1 1 3 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 Output: 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 3 1 1 1 3 3 3 3 3 3 3 3 3 3 1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 3 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: 8 1 1 1 5 1 1 1 1 1 8 1 1 1 5 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 5 5 5 5 5 5 5 5 5 5 1 1 1 1 5 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 1 1 1 1 1 5 1 1 1\n1 1 1 1 1 1 5 1 1 1\n1 1 1 1 1 1 5 1 1 1\n1 1 1 1 1 1 5 1 1 1\n1 1 1 1 1 1 5 1 1 1\n5 5 5 5 5 5 5 5 5 5\n1 1 1 1 1 1 5 1 1 1\n1 1 1 1 1 1 5 1 1 1\n1 1 1 1 1 1 5 1 1 1\n1 1 1 1 1 1 5 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:\n8 1 1 1 1 1 4 1 1 1\n8 1 1 1 1 1 4 1 1 1\n1 1 1 1 1 1 4 1 1 1\n1 1 1 1 1 1 4 1 1 1\n1 1 1 1 1 1 4 1 1 1\n1 1 1 1 1 1 4 1 1 1\n4 4 4 4 4 4 4 4 4 4\n1 1 1 1 1 1 4 1 1 1\n1 1 1 1 1 1 4 1 1 1\n1 1 1 1 1 1 4 1 1 1\nOutput:\n1 1 1 1 1 1 1 1 4 1\n1 1 1 1 1 1 1 1 4 1\n1 1 1 1 1 1 1 1 4 1\n1 1 1 1 1 1 1 1 4 1\n1 1 1 1 1 1 1 1 4 1\n1 1 1 1 1 1 1 1 4 1\n1 1 1 1 1 1 1 1 4 1\n1 1 1 1 1 1 1 1 4 1\n4 4 4 4 4 4 4 4 4 4\n1 1 1 1 1 1 1 1 4 1\n\nExample 2:\n\nInput:\n8 1 1 1 1 1 0 1 1 1\n8 1 1 1 1 1 0 1 1 1\n8 1 1 1 1 1 0 1 1 1\n0 0 0 0 0 0 0 0 0 0\n1 1 1 1 1 1 0 1 1 1\n1 1 1 1 1 1 0 1 1 1\n1 1 1 1 1 1 0 1 1 1\n1 1 1 1 1 1 0 1 1 1\n1 1 1 1 1 1 0 1 1 1\n1 1 1 1 1 1 0 1 1 1\nOutput:\n1 1 1 1 1 1 1 1 1 0\n1 1 1 1 1 1 1 1 1 0\n1 1 1 1 1 1 1 1 1 0\n1 1 1 1 1 1 1 1 1 0\n1 1 1 1 1 1 1 1 1 0\n1 1 1 1 1 1 1 1 1 0\n0 0 0 0 0 0 0 0 0 0\n1 1 1 1 1 1 1 1 1 0\n1 1 1 1 1 1 1 1 1 0\n1 1 1 1 1 1 1 1 1 0\n\nExample 3:\n\nInput:\n8 1 1 1 1 2 1 1 1 1\n1 1 1 1 1 2 1 1 1 1\n2 2 2 2 2 2 2 2 2 2\n1 1 1 1 1 2 1 1 1 1\n1 1 1 1 1 2 1 1 1 1\n1 1 1 1 1 2 1 1 1 1\n1 1 1 1 1 2 1 1 1 1\n1 1 1 1 1 2 1 1 1 1\n1 1 1 1 1 2 1 1 1 1\n1 1 1 1 1 2 1 1 1 1\nOutput:\n1 1 1 1 1 1 2 1 1 1\n1 1 1 1 1 1 2 1 1 1\n1 1 1 1 1 1 2 1 1 1\n2 2 2 2 2 2 2 2 2 2\n1 1 1 1 1 1 2 1 1 1\n1 1 1 1 1 1 2 1 1 1\n1 1 1 1 1 1 2 1 1 1\n1 1 1 1 1 1 2 1 1 1\n1 1 1 1 1 1 2 1 1 1\n1 1 1 1 1 1 2 1 1 1\n\nExample 4:\n\nInput:\n8 1 1 3 1 1 1 1 1 1\n8 1 1 3 1 1 1 1 1 1\n8 1 1 3 1 1 1 1 1 1\n1 1 1 3 1 1 1 1 1 1\n3 3 3 3 3 3 3 3 3 3\n1 1 1 3 1 1 1 1 1 1\n1 1 1 3 1 1 1 1 1 1\n1 1 1 3 1 1 1 1 1 1\n1 1 1 3 1 1 1 1 1 1\n1 1 1 3 1 1 1 1 1 1\nOutput:\n1 1 1 1 1 1 3 1 1 1\n1 1 1 1 1 1 3 1 1 1\n1 1 1 1 1 1 3 1 1 1\n1 1 1 1 1 1 3 1 1 1\n1 1 1 1 1 1 3 1 1 1\n1 1 1 1 1 1 3 1 1 1\n1 1 1 1 1 1 3 1 1 1\n3 3 3 3 3 3 3 3 3 3\n1 1 1 1 1 1 3 1 1 1\n1 1 1 1 1 1 3 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:\n8 1 1 1 5 1 1 1 1 1\n8 1 1 1 5 1 1 1 1 1\n1 1 1 1 5 1 1 1 1 1\n5 5 5 5 5 5 5 5 5 5\n1 1 1 1 5 1 1 1 1 1\n1 1 1 1 5 1 1 1 1 1\n1 1 1 1 5 1 1 1 1 1\n1 1 1 1 5 1 1 1 1 1\n1 1 1 1 5 1 1 1 1 1\n1 1 1 1 5 1 1 1 1 1\n", "answer": "1 1 1 1 1 1 5 1 1 1\n1 1 1 1 1 1 5 1 1 1\n1 1 1 1 1 1 5 1 1 1\n1 1 1 1 1 1 5 1 1 1\n1 1 1 1 1 1 5 1 1 1\n5 5 5 5 5 5 5 5 5 5\n1 1 1 1 1 1 5 1 1 1\n1 1 1 1 1 1 5 1 1 1\n1 1 1 1 1 1 5 1 1 1\n1 1 1 1 1 1 5 1 1 1", "metadata": {"source_dataset": "arc_agi", "source_index": 10, "input": [[8, 1, 1, 1, 5, 1, 1, 1, 1, 1], [8, 1, 1, 1, 5, 1, 1, 1, 1, 1], [1, 1, 1, 1, 5, 1, 1, 1, 1, 1], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [1, 1, 1, 1, 5, 1, 1, 1, 1, 1], [1, 1, 1, 1, 5, 1, 1, 1, 1, 1], [1, 1, 1, 1, 5, 1, 1, 1, 1, 1], [1, 1, 1, 1, 5, 1, 1, 1, 1, 1], [1, 1, 1, 1, 5, 1, 1, 1, 1, 1], [1, 1, 1, 1, 5, 1, 1, 1, 1, 1]], "output": [[1, 1, 1, 1, 1, 1, 5, 1, 1, 1], [1, 1, 1, 1, 1, 1, 5, 1, 1, 1], [1, 1, 1, 1, 1, 1, 5, 1, 1, 1], [1, 1, 1, 1, 1, 1, 5, 1, 1, 1], [1, 1, 1, 1, 1, 1, 5, 1, 1, 1], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [1, 1, 1, 1, 1, 1, 5, 1, 1, 1], [1, 1, 1, 1, 1, 1, 5, 1, 1, 1], [1, 1, 1, 1, 1, 1, 5, 1, 1, 1], [1, 1, 1, 1, 1, 1, 5, 1, 1, 1]], "task_id": "e48d4e1a", "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": 10, "input": [[8, 1, 1, 1, 5, 1, 1, 1, 1, 1], [8, 1, 1, 1, 5, 1, 1, 1, 1, 1], [1, 1, 1, 1, 5, 1, 1, 1, 1, 1], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [1, 1, 1, 1, 5, 1, 1, 1, 1, 1], [1, 1, 1, 1, 5, 1, 1, 1, 1, 1], [1, 1, 1, 1, 5, 1, 1, 1, 1, 1], [1, 1, 1, 1, 5, 1, 1, 1, 1, 1], [1, 1, 1, 1, 5, 1, 1, 1, 1, 1], [1, 1, 1, 1, 5, 1, 1, 1, 1, 1]], "output": [[1, 1, 1, 1, 1, 1, 5, 1, 1, 1], [1, 1, 1, 1, 1, 1, 5, 1, 1, 1], [1, 1, 1, 1, 1, 1, 5, 1, 1, 1], [1, 1, 1, 1, 1, 1, 5, 1, 1, 1], [1, 1, 1, 1, 1, 1, 5, 1, 1, 1], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [1, 1, 1, 1, 1, 1, 5, 1, 1, 1], [1, 1, 1, 1, 1, 1, 5, 1, 1, 1], [1, 1, 1, 1, 1, 1, 5, 1, 1, 1], [1, 1, 1, 1, 1, 1, 5, 1, 1, 1]], "task_id": "e48d4e1a", "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 1 2 1 6 1 1 2 1 Output: 6 6 1 1 2 2 6 6 1 1 2 2 1 1 6 6 1 1 1 1 6 6 1 1 1 1 2 2 1 1 1 1 2 2 1 1 Example 2: Input: 1 8 1 0 0 1 1 8 3 Output: 1 1 1 8 8 8 1 1 1 1 1 1 8 8 8 1 1 1 1 1 1 8 8 8 1 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 8 8 8 3 3 3 1 1 1 8 8 8 3 3 3 1 1 1 8 8 8 3 3 3 Example 3: Input: 1 9 0 0 0 1 1 1 1 Output: 1 1 9 9 0 0 1 1 9 9 0 0 0 0 0 0 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Example 4: Input: 7 1 6 1 4 4 8 1 1 Output: 7 7 7 7 1 1 1 1 6 6 6 6 7 7 7 7 1 1 1 1 6 6 6 6 7 7 7 7 1 1 1 1 6 6 6 6 7 7 7 7 1 1 1 1 6 6 6 6 1 1 1 1 4 4 4 4 4 4 4 4 1 1 1 1 4 4 4 4 4 4 4 4 1 1 1 1 4 4 4 4 4 4 4 4 1 1 1 1 4 4 4 4 4 4 4 4 8 8 8 8 1 1 1 1 1 1 1 1 8 8 8 8 1 1 1 1 1 1 1 1 8 8 8 8 1 1 1 1 1 1 1 1 8 8 8 8 1 1 1 1 1 1 1 1 Example 5: Input: 1 4 7 7 9 1 1 1 1 Output: 1 1 1 4 4 4 7 7 7 1 1 1 4 4 4 7 7 7 1 1 1 4 4 4 7 7 7 7 7 7 9 9 9 1 1 1 7 7 7 9 9 9 1 1 1 7 7 7 9 9 9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 2 1 9 8 1 1 3 3
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 1 1 1 2 2 2 2 1 1 1 1\n1 1 1 1 2 2 2 2 1 1 1 1\n1 1 1 1 2 2 2 2 1 1 1 1\n1 1 1 1 2 2 2 2 1 1 1 1\n9 9 9 9 8 8 8 8 1 1 1 1\n9 9 9 9 8 8 8 8 1 1 1 1\n9 9 9 9 8 8 8 8 1 1 1 1\n9 9 9 9 8 8 8 8 1 1 1 1\n1 1 1 1 3 3 3 3 3 3 3 3\n1 1 1 1 3 3 3 3 3 3 3 3\n1 1 1 1 3 3 3 3 3 3 3 3\n1 1 1 1 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:\n6 1 2\n1 6 1\n1 2 1\nOutput:\n6 6 1 1 2 2\n6 6 1 1 2 2\n1 1 6 6 1 1\n1 1 6 6 1 1\n1 1 2 2 1 1\n1 1 2 2 1 1\n\nExample 2:\n\nInput:\n1 8 1\n0 0 1\n1 8 3\nOutput:\n1 1 1 8 8 8 1 1 1\n1 1 1 8 8 8 1 1 1\n1 1 1 8 8 8 1 1 1\n0 0 0 0 0 0 1 1 1\n0 0 0 0 0 0 1 1 1\n0 0 0 0 0 0 1 1 1\n1 1 1 8 8 8 3 3 3\n1 1 1 8 8 8 3 3 3\n1 1 1 8 8 8 3 3 3\n\nExample 3:\n\nInput:\n1 9 0\n0 0 1\n1 1 1\nOutput:\n1 1 9 9 0 0\n1 1 9 9 0 0\n0 0 0 0 1 1\n0 0 0 0 1 1\n1 1 1 1 1 1\n1 1 1 1 1 1\n\nExample 4:\n\nInput:\n7 1 6\n1 4 4\n8 1 1\nOutput:\n7 7 7 7 1 1 1 1 6 6 6 6\n7 7 7 7 1 1 1 1 6 6 6 6\n7 7 7 7 1 1 1 1 6 6 6 6\n7 7 7 7 1 1 1 1 6 6 6 6\n1 1 1 1 4 4 4 4 4 4 4 4\n1 1 1 1 4 4 4 4 4 4 4 4\n1 1 1 1 4 4 4 4 4 4 4 4\n1 1 1 1 4 4 4 4 4 4 4 4\n8 8 8 8 1 1 1 1 1 1 1 1\n8 8 8 8 1 1 1 1 1 1 1 1\n8 8 8 8 1 1 1 1 1 1 1 1\n8 8 8 8 1 1 1 1 1 1 1 1\n\nExample 5:\n\nInput:\n1 4 7\n7 9 1\n1 1 1\nOutput:\n1 1 1 4 4 4 7 7 7\n1 1 1 4 4 4 7 7 7\n1 1 1 4 4 4 7 7 7\n7 7 7 9 9 9 1 1 1\n7 7 7 9 9 9 1 1 1\n7 7 7 9 9 9 1 1 1\n1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1\n1 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 2 1\n9 8 1\n1 3 3\n", "answer": "1 1 1 1 2 2 2 2 1 1 1 1\n1 1 1 1 2 2 2 2 1 1 1 1\n1 1 1 1 2 2 2 2 1 1 1 1\n1 1 1 1 2 2 2 2 1 1 1 1\n9 9 9 9 8 8 8 8 1 1 1 1\n9 9 9 9 8 8 8 8 1 1 1 1\n9 9 9 9 8 8 8 8 1 1 1 1\n9 9 9 9 8 8 8 8 1 1 1 1\n1 1 1 1 3 3 3 3 3 3 3 3\n1 1 1 1 3 3 3 3 3 3 3 3\n1 1 1 1 3 3 3 3 3 3 3 3\n1 1 1 1 3 3 3 3 3 3 3 3", "metadata": {"source_dataset": "arc_agi", "source_index": 11, "input": [[1, 2, 1], [9, 8, 1], [1, 3, 3]], "output": [[1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1], [1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1], [1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1], [1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1], [9, 9, 9, 9, 8, 8, 8, 8, 1, 1, 1, 1], [9, 9, 9, 9, 8, 8, 8, 8, 1, 1, 1, 1], [9, 9, 9, 9, 8, 8, 8, 8, 1, 1, 1, 1], [9, 9, 9, 9, 8, 8, 8, 8, 1, 1, 1, 1], [1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3], [1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3], [1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3], [1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3]], "task_id": "b91ae062", "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": 11, "input": [[1, 2, 1], [9, 8, 1], [1, 3, 3]], "output": [[1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1], [1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1], [1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1], [1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1], [9, 9, 9, 9, 8, 8, 8, 8, 1, 1, 1, 1], [9, 9, 9, 9, 8, 8, 8, 8, 1, 1, 1, 1], [9, 9, 9, 9, 8, 8, 8, 8, 1, 1, 1, 1], [9, 9, 9, 9, 8, 8, 8, 8, 1, 1, 1, 1], [1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3], [1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3], [1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3], [1, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3]], "task_id": "b91ae062", "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 7 7 7 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 7 7 7 6 6 6 6 8 0 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 2 2 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 0 6 1 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 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 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 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 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 0 0 0 6 6 6 8 8 8 6 6 6 6 6 6 6 6 6 6 6 6 6 0 0 0 6 6 6 8 8 8 6 6 6 6 6 6 6 6 6 6 6 6 6 0 0 0 6 6 6 8 8 8 6 6 6 6 8 0 6 6 6 6 6 6 6 6 6 6 2 2 2 0 0 0 6 6 6 6 6 2 2 6 6 6 6 6 6 6 6 6 2 2 2 0 0 0 6 6 6 6 0 6 1 6 6 6 6 6 6 6 6 6 2 2 2 0 0 0 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 1 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 1 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 1 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 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 7 7 6 6 6 6 7 7 6 6 6 6 6 6 6 8 8 8 6 6 6 6 6 6 7 7 6 6 6 6 7 7 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 1 2 2 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 0 6 0 6 6 6 6 6 6 7 7 7 7 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 0 0 6 6 6 6 8 8 6 6 6 6 6 6 6 8 8 8 6 6 6 6 6 6 0 0 6 6 6 6 8 8 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 1 1 1 1 8 8 6 6 6 6 6 6 6 6 1 2 2 6 6 6 6 6 6 6 1 1 1 1 8 8 6 6 6 6 6 6 6 0 6 0 6 6 6 6 6 6 0 0 2 2 6 6 8 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 0 0 2 2 6 6 8 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 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 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 0 0 6 6 6 6 6 6 6 6 6 6 6 6 6 8 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "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\n6 8 8 8 8 6 6 6 6 2 2 2 2 6 6 6\n6 8 8 8 8 6 6 6 6 2 2 2 2 6 6 6\n6 8 8 8 8 6 6 6 6 2 2 2 2 6 6 6\n6 8 8 8 8 6 6 6 6 2 2 2 2 6 6 6\n6 8 8 8 8 0 0 0 0 6 6 6 6 6 6 6\n6 8 8 8 8 0 0 0 0 6 6 6 6 6 6 6\n6 8 8 8 8 0 0 0 0 6 6 6 6 6 6 6\n6 8 8 8 8 0 0 0 0 6 6 6 6 6 6 6\n6 6 6 6 6 0 0 0 0 6 6 6 6 6 6 6\n6 6 6 6 6 0 0 0 0 6 6 6 6 6 6 6\n6 6 6 6 6 0 0 0 0 6 6 6 6 6 6 6\n6 6 6 6 6 0 0 0 0 6 6 6 6 6 6 6\n6 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\n6 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\n6 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\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 2 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 0 0 6 6 6 6 6 6\n6 6 6 6 6 6 6 8 8 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 7 7 7 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6\n6 6 6 7 7 7 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6\n6 6 6 7 7 7 6 6 6 7 7 7 6 6 6 6 8 0 6 6 6 6\n6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 2 2 6 6 6\n6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 0 6 1 6 6 6\n6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6\n6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 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\n6 6 6 0 0 0 6 6 6 8 8 8 6 6 6 6 6 6 6 6 6 6\n6 6 6 0 0 0 6 6 6 8 8 8 6 6 6 6 6 6 6 6 6 6\n6 6 6 0 0 0 6 6 6 8 8 8 6 6 6 6 8 0 6 6 6 6\n6 6 6 6 6 6 2 2 2 0 0 0 6 6 6 6 6 2 2 6 6 6\n6 6 6 6 6 6 2 2 2 0 0 0 6 6 6 6 0 6 1 6 6 6\n6 6 6 6 6 6 2 2 2 0 0 0 6 6 6 6 6 6 6 6 6 6\n6 6 6 1 1 1 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 1 1 1 2 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 1 1 1 2 2 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 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\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 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\n6 6 6 6 7 7 6 6 6 6 7 7 6 6 6 6 6 6 6 8 8 8 6 6\n6 6 6 6 7 7 6 6 6 6 7 7 6 6 6 6 6 6 6 6 1 6 6 6\n6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 1 2 2 6\n6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 0 6 0 6 6\n6 6 6 6 7 7 7 7 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 7 7 7 7 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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\n6 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 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\n6 6 6 6 0 0 6 6 6 6 8 8 6 6 6 6 6 6 6 8 8 8 6 6\n6 6 6 6 0 0 6 6 6 6 8 8 6 6 6 6 6 6 6 6 1 6 6 6\n6 6 6 6 6 6 1 1 1 1 8 8 6 6 6 6 6 6 6 6 1 2 2 6\n6 6 6 6 6 6 1 1 1 1 8 8 6 6 6 6 6 6 6 0 6 0 6 6\n6 6 6 6 0 0 2 2 6 6 8 8 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 0 0 2 2 6 6 8 8 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 2 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 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 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\n6 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\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6\n6 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6\n6 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6\n6 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6\n6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6\n6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6\n6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6\n6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6\n6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6\n6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6\n6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6\n6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6\n6 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\n6 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\n6 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\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 2 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 0 0 6 6 6 6 6 6\n6 6 6 6 6 6 6 8 8 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 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\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 8 8 8 8 6 6 6 6 2 2 2 2 6 6 6\n6 8 8 8 8 6 6 6 6 2 2 2 2 6 6 6\n6 8 8 8 8 6 6 6 6 2 2 2 2 6 6 6\n6 8 8 8 8 6 6 6 6 2 2 2 2 6 6 6\n6 8 8 8 8 0 0 0 0 6 6 6 6 6 6 6\n6 8 8 8 8 0 0 0 0 6 6 6 6 6 6 6\n6 8 8 8 8 0 0 0 0 6 6 6 6 6 6 6\n6 8 8 8 8 0 0 0 0 6 6 6 6 6 6 6\n6 6 6 6 6 0 0 0 0 6 6 6 6 6 6 6\n6 6 6 6 6 0 0 0 0 6 6 6 6 6 6 6\n6 6 6 6 6 0 0 0 0 6 6 6 6 6 6 6\n6 6 6 6 6 0 0 0 0 6 6 6 6 6 6 6\n6 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\n6 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\n6 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\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 2 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 0 0 6 6 6 6 6 6\n6 6 6 6 6 6 6 8 8 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6", "metadata": {"source_dataset": "arc_agi", "source_index": 12, "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, 7, 7, 7, 7, 6, 6, 6, 6, 7, 7, 7, 7, 6, 6, 6], [6, 7, 7, 7, 7, 6, 6, 6, 6, 7, 7, 7, 7, 6, 6, 6], [6, 7, 7, 7, 7, 6, 6, 6, 6, 7, 7, 7, 7, 6, 6, 6], [6, 7, 7, 7, 7, 6, 6, 6, 6, 7, 7, 7, 7, 6, 6, 6], [6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6], [6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6], [6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6], [6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 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, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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, 0, 0, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 8, 8, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "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, 8, 8, 8, 8, 6, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6], [6, 8, 8, 8, 8, 6, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6], [6, 8, 8, 8, 8, 6, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6], [6, 8, 8, 8, 8, 6, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6], [6, 8, 8, 8, 8, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 8, 8, 8, 8, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 8, 8, 8, 8, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 8, 8, 8, 8, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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, 0, 0, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 8, 8, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_id": "103eff5b", "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": 12, "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, 7, 7, 7, 7, 6, 6, 6, 6, 7, 7, 7, 7, 6, 6, 6], [6, 7, 7, 7, 7, 6, 6, 6, 6, 7, 7, 7, 7, 6, 6, 6], [6, 7, 7, 7, 7, 6, 6, 6, 6, 7, 7, 7, 7, 6, 6, 6], [6, 7, 7, 7, 7, 6, 6, 6, 6, 7, 7, 7, 7, 6, 6, 6], [6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6], [6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6], [6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6], [6, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 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, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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, 0, 0, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 8, 8, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "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, 8, 8, 8, 8, 6, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6], [6, 8, 8, 8, 8, 6, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6], [6, 8, 8, 8, 8, 6, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6], [6, 8, 8, 8, 8, 6, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6], [6, 8, 8, 8, 8, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 8, 8, 8, 8, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 8, 8, 8, 8, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 8, 8, 8, 8, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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, 0, 0, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 8, 8, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_id": "103eff5b", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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General Reasoning
reasoning_gym
Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 4 4 4 4 4 4 4 8 8 8 8 8 8 8 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 4 8 8 3 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 3 3 3 8 4 8 8 8 8 8 8 5 5 5 8 8 8 8 4 8 8 3 8 8 4 8 8 8 8 8 8 5 5 5 8 8 8 8 4 8 8 8 8 8 4 8 8 8 8 8 8 5 5 5 8 8 8 8 4 4 4 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 Output: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 3 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 3 3 3 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 3 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 3 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 3 3 3 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 3 8 8 8 8 8 8 8 8 4 4 4 4 4 4 4 8 8 8 8 8 8 8 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 4 8 8 3 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 3 3 3 8 4 8 8 8 8 8 8 5 5 5 8 8 8 8 4 8 8 3 8 8 4 8 8 8 8 8 8 5 5 5 8 8 8 8 4 8 8 8 8 8 4 8 8 8 8 8 8 5 5 5 8 8 8 8 4 4 4 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 Example 2: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 5 5 5 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 5 5 5 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 4 4 4 4 4 4 4 4 4 8 8 8 8 8 8 8 4 8 8 8 8 8 4 8 8 8 8 8 4 8 8 8 8 8 8 8 4 8 8 8 8 8 4 8 8 3 8 8 4 8 8 8 8 8 8 8 4 8 3 3 3 8 4 8 8 3 8 8 4 8 8 8 8 8 8 8 4 8 3 3 3 8 4 8 8 3 8 8 4 8 8 8 8 8 8 8 4 8 8 8 8 8 4 8 8 8 8 8 4 8 8 8 8 8 8 8 4 4 4 4 4 4 4 Output: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 3 3 3 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 3 3 3 8 8 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 3 3 3 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 3 3 3 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 4 4 4 4 4 4 4 4 4 8 8 8 8 8 8 8 4 8 8 8 8 8 4 8 8 8 8 8 4 8 8 8 8 8 8 8 4 8 8 8 8 8 4 8 8 3 8 8 4 8 8 8 8 8 8 8 4 8 3 3 3 8 4 8 8 3 8 8 4 8 8 8 8 8 8 8 4 8 3 3 3 8 4 8 8 3 8 8 4 8 8 8 8 8 8 8 4 8 8 8 8 8 4 8 8 8 8 8 4 8 8 8 8 8 8 8 4 4 4 4 4 4 4 Example 3: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 5 5 5 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 5 8 8 8 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 4 4 4 8 8 8 8 8 8 8 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 4 8 6 6 6 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 6 6 6 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 6 6 6 8 4 8 8 8 8 8 8 8 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 4 4 4 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 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 5 5 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 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 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 6 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 6 6 6 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 5 8 8 8 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 4 4 4 8 8 8 8 8 8 8 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 4 8 6 6 6 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 6 6 6 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 6 6 6 8 4 8 8 8 8 8 8 8 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 4 4 4 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Example 4: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 8 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 8 8 8 8 5 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 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 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 5 5 5 5 8 8 4 4 4 4 4 4 4 8 8 5 5 5 8 8 8 5 5 8 8 8 4 8 8 8 8 8 4 8 8 8 8 8 8 8 8 5 5 8 8 8 4 8 6 6 6 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 6 6 6 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 6 6 6 8 4 8 8 8 8 8 4 4 4 4 4 4 4 8 4 8 8 8 8 8 4 8 8 8 8 8 4 8 8 8 8 8 8 8 4 4 4 4 4 4 4 8 8 8 8 8 4 8 6 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 Output: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 8 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 8 8 8 8 5 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 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 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 6 8 8 5 5 5 5 8 8 4 4 4 4 4 4 4 8 8 6 6 6 8 8 8 5 5 8 8 8 4 8 8 8 8 8 4 8 8 8 8 8 8 8 8 5 5 8 8 8 4 8 6 6 6 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 6 6 6 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 6 6 6 8 4 8 8 8 8 8 4 4 4 4 4 4 4 8 4 8 8 8 8 8 4 8 8 8 8 8 4 8 8 8 8 8 8 8 4 4 4 4 4 4 4 8 8 8 8 8 4 8 6 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 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 4 8 8 8 8 8 4 4 4 4 4 4 4 8 8 8 3 3 8 8 4 8 8 8 8 8 4 8 8 8 8 8 4 8 8 3 3 3 3 8 4 8 8 8 8 8 4 8 8 3 8 8 4 8 8 3 3 3 3 8 4 8 8 8 8 8 4 8 3 3 3 8 4 8 8 8 3 3 8 8 4 8 8 8 8 8 4 8 8 3 8 8 4 8 8 8 8 8 8 8 4 8 8 8 8 8 4 8 8 8 8 8 4 8 4 4 4 4 4 4 4 8 8 8 8 8 4 4 4 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 5 5 8 8 8 8 8 8 5 8 8 8 8 8 5 5 5 8 8 5 5 5 5 8 8 8 8 5 5 5 8 8 8 8 8 5 8 8 8 5 5 5 5 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 5 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 4 4 4 4 4 4 4 4 8 8 8 5 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 4 8 8 3 3 3 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 3 3 3 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "8 8 8 8 8 8 4 8 8 8 8 8 4 4 4 4 4 4 4 8\n8 8 3 3 8 8 4 8 8 8 8 8 4 8 8 8 8 8 4 8\n8 3 3 3 3 8 4 8 8 8 8 8 4 8 8 3 8 8 4 8\n8 3 3 3 3 8 4 8 8 8 8 8 4 8 3 3 3 8 4 8\n8 8 3 3 8 8 4 8 8 8 8 8 4 8 8 3 8 8 4 8\n8 8 8 8 8 8 4 8 8 8 8 8 4 8 8 8 8 8 4 8\n4 4 4 4 4 4 4 8 8 8 8 8 4 4 4 4 4 4 4 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 3 8 8 8 8 5 5 8 8 8 8 8 8 3 8 8 8 8\n8 3 3 3 8 8 5 5 5 5 8 8 8 8 3 3 3 8 8 8\n8 8 3 8 8 8 5 5 5 5 8 8 8 8 8 3 8 8 8 8\n8 8 8 8 8 8 8 5 5 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 5 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 5 8 8 8 8 8 8 8 8 4 4 4 4 4 4 4 4\n8 8 8 5 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 5 5 5 8 8 4 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 5 5 5 8 8 4 8 8 3 3 3 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 3 3 3 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 5 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8\n4 4 4 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8\n4 8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8\n4 8 8 3 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8\n4 8 3 3 3 8 4 8 8 8 8 8 8 5 5 5 8 8 8 8\n4 8 8 3 8 8 4 8 8 8 8 8 8 5 5 5 8 8 8 8\n4 8 8 8 8 8 4 8 8 8 8 8 8 5 5 5 8 8 8 8\n4 4 4 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8\nOutput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 3 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 3 3 3 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 3 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 5 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 3 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 3 3 3 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 3 8 8 8 8 8 8 8 8\n4 4 4 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8\n4 8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8\n4 8 8 3 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8\n4 8 3 3 3 8 4 8 8 8 8 8 8 5 5 5 8 8 8 8\n4 8 8 3 8 8 4 8 8 8 8 8 8 5 5 5 8 8 8 8\n4 8 8 8 8 8 4 8 8 8 8 8 8 5 5 5 8 8 8 8\n4 4 4 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8\n\nExample 2:\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 5 5 5 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8\n8 8 5 5 5 8 8 5 5 5 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 5 8 8 8 8 8 5 5 5 8 8 8 8 8 8 8\n8 8 8 8 5 8 8 8 8 8 5 5 5 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 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 4 4 4\n4 4 4 4 4 4 8 8 8 8 8 8 8 4 8 8 8 8 8 4\n8 8 8 8 8 4 8 8 8 8 8 8 8 4 8 8 8 8 8 4\n8 8 3 8 8 4 8 8 8 8 8 8 8 4 8 3 3 3 8 4\n8 8 3 8 8 4 8 8 8 8 8 8 8 4 8 3 3 3 8 4\n8 8 3 8 8 4 8 8 8 8 8 8 8 4 8 8 8 8 8 4\n8 8 8 8 8 4 8 8 8 8 8 8 8 4 4 4 4 4 4 4\nOutput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 3 3 3 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8\n8 8 3 3 3 8 8 5 5 5 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 5 8 8 8 8 8 3 3 3 8 8 8 8 8 8 8\n8 8 8 8 5 8 8 8 8 8 3 3 3 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 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 4 4 4\n4 4 4 4 4 4 8 8 8 8 8 8 8 4 8 8 8 8 8 4\n8 8 8 8 8 4 8 8 8 8 8 8 8 4 8 8 8 8 8 4\n8 8 3 8 8 4 8 8 8 8 8 8 8 4 8 3 3 3 8 4\n8 8 3 8 8 4 8 8 8 8 8 8 8 4 8 3 3 3 8 4\n8 8 3 8 8 4 8 8 8 8 8 8 8 4 8 8 8 8 8 4\n8 8 8 8 8 4 8 8 8 8 8 8 8 4 4 4 4 4 4 4\n\nExample 3:\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 5 5 5 5 5 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 5 5 5 8 8 8 8 8 5 8 8 8 8 8 8 8 8\n8 8 8 5 5 5 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 5 8 8 8 5 5 5 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 4 4 4 4 4 4 4 8 8 8 8 8 8 8 8\n8 8 8 8 8 4 8 8 8 8 8 4 8 8 8 8 8 8 8 8\n8 8 8 8 8 4 8 6 6 6 8 4 8 8 8 8 8 8 8 8\n8 8 8 8 8 4 8 6 6 6 8 4 8 8 8 8 8 8 8 8\n8 8 8 8 8 4 8 6 6 6 8 4 8 8 8 8 8 8 8 8\n8 8 8 8 8 4 8 8 8 8 8 4 8 8 8 8 8 8 8 8\n8 8 8 8 8 4 4 4 4 4 4 4 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\nOutput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 5 5 5 5 5 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 6 6 6 8 8 8 8 8 5 8 8 8 8 8 8 8 8\n8 8 8 6 6 6 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 5 8 8 8 6 6 6 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 6 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 6 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 4 4 4 4 4 4 4 8 8 8 8 8 8 8 8\n8 8 8 8 8 4 8 8 8 8 8 4 8 8 8 8 8 8 8 8\n8 8 8 8 8 4 8 6 6 6 8 4 8 8 8 8 8 8 8 8\n8 8 8 8 8 4 8 6 6 6 8 4 8 8 8 8 8 8 8 8\n8 8 8 8 8 4 8 6 6 6 8 4 8 8 8 8 8 8 8 8\n8 8 8 8 8 4 8 8 8 8 8 4 8 8 8 8 8 8 8 8\n8 8 8 8 8 4 4 4 4 4 4 4 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n\nExample 4:\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 8 8 8 8 8\n8 8 8 8 8 5 8 8 8 8 8 5 8 8 8 8 8 8 8 8\n8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 5 5 5 5 8\n8 4 4 4 4 4 4 4 8 8 5 5 5 8 8 8 5 5 8 8\n8 4 8 8 8 8 8 4 8 8 8 8 8 8 8 8 5 5 8 8\n8 4 8 6 6 6 8 4 8 8 8 8 8 8 8 8 8 8 8 8\n8 4 8 6 6 6 8 4 8 8 8 8 8 8 8 8 8 8 8 8\n8 4 8 6 6 6 8 4 8 8 8 8 8 4 4 4 4 4 4 4\n8 4 8 8 8 8 8 4 8 8 8 8 8 4 8 8 8 8 8 8\n8 4 4 4 4 4 4 4 8 8 8 8 8 4 8 6 6 6 6 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 6 6 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 6 6 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8\nOutput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 8 8 8 8 8\n8 8 8 8 8 5 8 8 8 8 8 5 8 8 8 8 8 8 8 8\n8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 6 6 6 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 6 6 6 8 8 5 5 5 5 8\n8 4 4 4 4 4 4 4 8 8 6 6 6 8 8 8 5 5 8 8\n8 4 8 8 8 8 8 4 8 8 8 8 8 8 8 8 5 5 8 8\n8 4 8 6 6 6 8 4 8 8 8 8 8 8 8 8 8 8 8 8\n8 4 8 6 6 6 8 4 8 8 8 8 8 8 8 8 8 8 8 8\n8 4 8 6 6 6 8 4 8 8 8 8 8 4 4 4 4 4 4 4\n8 4 8 8 8 8 8 4 8 8 8 8 8 4 8 8 8 8 8 8\n8 4 4 4 4 4 4 4 8 8 8 8 8 4 8 6 6 6 6 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 6 6 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 6 6 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 4 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 4 8 8 8 8 8 4 4 4 4 4 4 4 8\n8 8 3 3 8 8 4 8 8 8 8 8 4 8 8 8 8 8 4 8\n8 3 3 3 3 8 4 8 8 8 8 8 4 8 8 3 8 8 4 8\n8 3 3 3 3 8 4 8 8 8 8 8 4 8 3 3 3 8 4 8\n8 8 3 3 8 8 4 8 8 8 8 8 4 8 8 3 8 8 4 8\n8 8 8 8 8 8 4 8 8 8 8 8 4 8 8 8 8 8 4 8\n4 4 4 4 4 4 4 8 8 8 8 8 4 4 4 4 4 4 4 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 5 8 8 8 8 5 5 8 8 8 8 8 8 5 8 8 8 8\n8 5 5 5 8 8 5 5 5 5 8 8 8 8 5 5 5 8 8 8\n8 8 5 8 8 8 5 5 5 5 8 8 8 8 8 5 8 8 8 8\n8 8 8 8 8 8 8 5 5 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 5 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 5 8 8 8 8 8 8 8 8 4 4 4 4 4 4 4 4\n8 8 8 5 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 5 5 5 8 8 4 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 5 5 5 8 8 4 8 8 3 3 3 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 3 3 3 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8\n", "answer": "8 8 8 8 8 8 4 8 8 8 8 8 4 4 4 4 4 4 4 8\n8 8 3 3 8 8 4 8 8 8 8 8 4 8 8 8 8 8 4 8\n8 3 3 3 3 8 4 8 8 8 8 8 4 8 8 3 8 8 4 8\n8 3 3 3 3 8 4 8 8 8 8 8 4 8 3 3 3 8 4 8\n8 8 3 3 8 8 4 8 8 8 8 8 4 8 8 3 8 8 4 8\n8 8 8 8 8 8 4 8 8 8 8 8 4 8 8 8 8 8 4 8\n4 4 4 4 4 4 4 8 8 8 8 8 4 4 4 4 4 4 4 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 3 8 8 8 8 5 5 8 8 8 8 8 8 3 8 8 8 8\n8 3 3 3 8 8 5 5 5 5 8 8 8 8 3 3 3 8 8 8\n8 8 3 8 8 8 5 5 5 5 8 8 8 8 8 3 8 8 8 8\n8 8 8 8 8 8 8 5 5 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 5 5 5 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 5 8 8 8 8 8 8 8 8 4 4 4 4 4 4 4 4\n8 8 8 5 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 5 5 5 8 8 4 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 5 5 5 8 8 4 8 8 3 3 3 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 3 3 3 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8", "metadata": {"source_dataset": "arc_agi", "source_index": 13, "input": [[8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 3, 3, 8, 8, 4, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 4, 8], [8, 3, 3, 3, 3, 8, 4, 8, 8, 8, 8, 8, 4, 8, 8, 3, 8, 8, 4, 8], [8, 3, 3, 3, 3, 8, 4, 8, 8, 8, 8, 8, 4, 8, 3, 3, 3, 8, 4, 8], [8, 8, 3, 3, 8, 8, 4, 8, 8, 8, 8, 8, 4, 8, 8, 3, 8, 8, 4, 8], [8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 4, 8], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 5, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 5, 8, 8, 8, 8], [8, 5, 5, 5, 8, 8, 5, 5, 5, 5, 8, 8, 8, 8, 5, 5, 5, 8, 8, 8], [8, 8, 5, 8, 8, 8, 5, 5, 5, 5, 8, 8, 8, 8, 8, 5, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 5, 5, 5, 5, 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, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 5, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 8, 8, 4, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 8, 8, 4, 8, 8, 3, 3, 3, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 3, 3, 3, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 8]], "output": [[8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 3, 3, 8, 8, 4, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 4, 8], [8, 3, 3, 3, 3, 8, 4, 8, 8, 8, 8, 8, 4, 8, 8, 3, 8, 8, 4, 8], [8, 3, 3, 3, 3, 8, 4, 8, 8, 8, 8, 8, 4, 8, 3, 3, 3, 8, 4, 8], [8, 8, 3, 3, 8, 8, 4, 8, 8, 8, 8, 8, 4, 8, 8, 3, 8, 8, 4, 8], [8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 4, 8], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 3, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 3, 8, 8, 8, 8], [8, 3, 3, 3, 8, 8, 5, 5, 5, 5, 8, 8, 8, 8, 3, 3, 3, 8, 8, 8], [8, 8, 3, 8, 8, 8, 5, 5, 5, 5, 8, 8, 8, 8, 8, 3, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 5, 5, 5, 5, 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, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 5, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 8, 8, 4, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 8, 8, 4, 8, 8, 3, 3, 3, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 3, 3, 3, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 8]], "task_id": "776ffc46", "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": 13, "input": [[8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 3, 3, 8, 8, 4, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 4, 8], [8, 3, 3, 3, 3, 8, 4, 8, 8, 8, 8, 8, 4, 8, 8, 3, 8, 8, 4, 8], [8, 3, 3, 3, 3, 8, 4, 8, 8, 8, 8, 8, 4, 8, 3, 3, 3, 8, 4, 8], [8, 8, 3, 3, 8, 8, 4, 8, 8, 8, 8, 8, 4, 8, 8, 3, 8, 8, 4, 8], [8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 4, 8], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 5, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 5, 8, 8, 8, 8], [8, 5, 5, 5, 8, 8, 5, 5, 5, 5, 8, 8, 8, 8, 5, 5, 5, 8, 8, 8], [8, 8, 5, 8, 8, 8, 5, 5, 5, 5, 8, 8, 8, 8, 8, 5, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 5, 5, 5, 5, 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, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 5, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 8, 8, 4, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 8, 8, 4, 8, 8, 3, 3, 3, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 3, 3, 3, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 8]], "output": [[8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 3, 3, 8, 8, 4, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 4, 8], [8, 3, 3, 3, 3, 8, 4, 8, 8, 8, 8, 8, 4, 8, 8, 3, 8, 8, 4, 8], [8, 3, 3, 3, 3, 8, 4, 8, 8, 8, 8, 8, 4, 8, 3, 3, 3, 8, 4, 8], [8, 8, 3, 3, 8, 8, 4, 8, 8, 8, 8, 8, 4, 8, 8, 3, 8, 8, 4, 8], [8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 4, 8], [4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 3, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 3, 8, 8, 8, 8], [8, 3, 3, 3, 8, 8, 5, 5, 5, 5, 8, 8, 8, 8, 3, 3, 3, 8, 8, 8], [8, 8, 3, 8, 8, 8, 5, 5, 5, 5, 8, 8, 8, 8, 8, 3, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 5, 5, 5, 5, 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, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 8, 5, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 8, 8, 4, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 5, 5, 5, 8, 8, 4, 8, 8, 3, 3, 3, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 3, 3, 3, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 8]], "task_id": "776ffc46", "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 7 2 7 5 5 5 9 5 2 2 9 5 2 9 2 5 7 2 5 7 9 5 5 5 7 2 5 5 7 5 2 2 5 7 9 7 2 2 2 5 2 2 2 5 5 5 2 2 7 7 5 5 9 9 2 5 5 5 7 2 5 7 5 2 5 2 7 7 7 5 9 2 7 7 5 2 9 9 5 7 2 2 2 7 2 2 7 2 9 2 7 7 2 2 5 9 5 7 2 9 9 2 2 5 9 5 5 2 2 2 2 5 7 2 7 5 9 7 9 2 2 2 5 2 7 2 2 2 5 9 7 7 5 5 2 2 7 7 5 2 2 5 5 2 9 2 2 2 5 5 2 2 7 5 2 5 5 5 2 5 7 2 5 5 5 5 5 7 2 2 5 9 5 7 5 2 7 2 5 7 1 9 9 2 2 5 7 5 7 2 2 5 7 7 2 2 2 9 5 1 1 9 5 5 7 2 7 5 5 5 7 2 5 7 7 2 2 5 9 1 1 7 2 2 7 5 Output: 5 7 7 2 7 5 5 5 9 5 2 2 9 5 2 9 1 1 7 2 5 7 9 5 5 5 7 2 5 5 7 5 2 2 1 1 9 7 2 2 2 5 2 2 2 5 5 5 2 2 7 7 5 1 9 9 2 5 5 5 7 2 5 7 5 2 5 2 7 7 7 5 9 2 7 7 5 2 9 9 1 7 2 2 2 7 2 2 7 2 9 2 7 7 2 2 5 9 1 1 2 9 9 2 2 5 9 5 5 2 2 2 2 5 7 2 1 1 9 7 9 2 2 2 5 2 7 2 2 2 5 9 7 7 5 5 2 2 7 7 5 2 2 5 5 2 9 2 2 2 5 5 2 2 7 5 2 5 5 5 2 5 7 2 5 5 5 5 5 7 2 2 5 9 5 7 5 2 7 2 5 7 1 9 9 2 2 5 7 5 7 2 2 5 7 7 2 2 2 9 5 1 1 9 5 5 7 2 7 5 5 5 7 2 5 7 7 2 2 5 9 1 1 7 2 2 7 5 Example 2: Input: 5 7 7 2 2 2 5 2 5 5 9 7 7 7 2 7 7 7 5 7 5 2 5 2 9 7 7 7 5 7 2 9 5 7 5 7 7 7 7 9 5 5 5 7 2 5 7 7 7 9 7 5 5 7 5 7 7 5 5 7 2 7 2 9 5 5 7 7 7 2 7 5 7 2 5 5 7 7 7 7 7 2 5 5 5 2 2 2 7 5 7 7 2 9 5 2 2 7 2 9 9 2 2 7 9 7 9 5 9 2 7 7 5 7 2 5 5 7 5 7 5 7 9 9 2 7 5 7 7 5 7 5 2 2 7 7 7 7 5 2 2 9 2 2 5 2 7 2 7 2 5 7 2 7 5 5 7 7 7 2 2 5 5 7 5 2 7 7 1 9 9 2 7 2 2 7 7 2 2 2 5 9 5 2 5 7 9 9 1 7 9 2 9 2 9 7 9 2 7 2 5 9 7 7 1 1 9 5 2 7 2 7 7 2 7 2 2 2 7 2 7 7 9 2 5 7 7 5 2 2 7 7 9 2 7 7 7 2 7 7 7 5 5 9 7 7 2 2 7 5 5 9 2 7 7 7 7 2 7 7 2 7 5 7 2 7 2 7 7 2 9 5 7 2 2 9 7 2 2 7 5 7 2 2 2 2 2 7 Output: 5 7 7 2 2 2 5 2 5 5 9 7 7 7 2 7 7 7 5 7 5 2 5 2 9 7 7 7 5 7 2 9 5 7 5 7 7 7 7 9 5 5 5 7 2 5 7 7 7 9 7 5 5 7 5 7 7 5 5 7 2 7 2 9 5 5 7 7 7 2 7 5 7 2 5 5 7 7 7 7 7 2 5 5 5 2 2 2 7 5 7 7 2 9 5 2 2 7 2 9 9 2 2 7 9 1 9 5 9 2 7 7 5 7 2 5 5 7 5 7 5 7 9 9 1 7 5 7 7 5 7 5 2 2 7 7 7 7 5 2 1 9 1 2 5 2 7 2 7 2 5 7 2 7 5 5 7 7 7 2 2 5 5 7 5 2 7 7 1 9 9 2 7 2 2 7 7 2 2 2 5 9 5 2 5 7 9 9 1 7 9 2 9 2 9 7 9 2 7 2 5 9 7 7 1 1 9 5 2 7 2 7 7 2 7 2 2 2 7 2 7 7 9 2 5 7 7 5 2 2 7 7 9 2 7 7 7 2 7 7 7 5 5 9 7 7 2 2 7 5 5 9 2 7 7 7 7 2 7 7 2 7 5 7 2 7 2 7 7 2 9 5 7 2 2 9 7 2 2 7 5 7 2 2 2 2 2 7 Example 3: Input: 7 9 2 9 7 9 5 7 2 9 9 5 5 5 5 7 2 2 9 2 2 2 7 5 7 5 5 2 7 2 7 2 2 2 9 2 2 5 2 7 5 5 7 9 2 2 2 2 2 5 7 2 5 7 2 2 5 2 9 7 7 2 2 2 7 2 2 2 9 2 2 2 7 7 5 2 5 7 5 2 2 5 5 2 5 7 2 2 9 2 2 5 2 7 5 2 9 2 5 2 2 2 7 2 7 2 5 2 7 2 7 2 5 2 2 7 2 7 7 2 5 7 7 7 2 7 2 2 2 7 7 2 1 1 9 2 5 5 2 9 2 7 5 5 5 7 5 7 2 1 1 9 2 2 2 2 7 5 5 7 5 5 7 5 2 9 1 9 1 7 7 7 5 5 7 7 7 9 2 2 5 2 9 5 2 2 2 2 2 2 9 2 5 2 2 5 2 2 5 5 2 7 5 2 2 2 7 5 7 9 9 7 7 9 2 2 2 7 2 2 9 2 5 5 7 2 2 2 5 2 7 5 2 2 7 5 2 5 2 2 5 5 2 5 2 2 7 2 2 9 9 2 7 7 5 2 2 2 5 5 5 2 5 2 7 5 5 9 7 5 5 7 7 2 7 2 5 5 2 2 2 2 2 2 7 7 2 9 5 Output: 1 9 2 9 7 9 5 7 2 9 9 5 5 5 5 7 2 1 9 2 2 2 7 5 7 5 5 2 7 2 7 2 2 2 9 1 2 5 2 7 5 5 7 9 2 2 2 2 2 5 7 2 5 7 2 2 5 2 9 7 7 2 2 2 7 2 2 2 9 2 2 2 7 7 5 2 5 7 5 2 2 5 5 2 5 7 2 2 9 2 2 5 2 7 5 2 9 2 5 2 2 2 7 2 7 2 5 2 7 2 7 2 5 2 2 7 2 7 7 2 5 7 7 7 2 7 2 2 2 7 7 2 1 1 9 2 5 5 2 9 2 7 5 5 5 7 5 7 2 1 1 9 2 2 2 2 7 5 5 7 5 5 7 5 2 9 1 9 1 7 7 7 5 5 7 7 7 9 2 2 5 2 9 5 2 2 2 2 2 2 9 2 5 2 2 5 2 2 5 5 2 7 5 2 2 2 7 5 7 9 9 7 7 9 2 2 2 7 2 2 9 2 5 5 7 2 2 2 5 2 7 5 2 2 7 5 2 5 2 2 5 5 2 5 2 2 7 2 2 9 9 2 7 7 5 2 2 2 5 5 5 2 5 2 7 5 5 9 7 5 5 7 7 2 7 2 5 5 2 2 2 2 2 2 7 7 2 9 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 2 5 7 5 7 2 7 9 5 2 2 5 9 7 7 7 9 9 7 5 7 5 5 5 2 9 9 7 5 2 2 2 9 7 7 5 2 9 2 7 7 9 7 7 2 7 5 2 2 2 2 2 7 5 7 7 5 7 5 7 5 2 2 7 9 2 2 2 5 7 7 5 2 2 7 7 7 2 7 7 7 5 5 7 7 7 7 2 2 9 7 7 2 2 2 7 9 5 5 7 5 9 2 2 2 5 5 5 2 7 7 9 2 5 2 1 1 1 2 5 5 5 5 9 5 7 7 9 5 5 5 9 1 1 7 7 7 5 2 2 9 2 5 7 7 7 5 9 9 1 7 7 2 9 2 9 9 5 5 9 2 2 2 2 7 5 2 7 2 2 7 5 9 7 9 2 5 5 2 2 7 5 7 5 2 7 2 2 5 2 7 2 7 5 7 7 5 5 7 2 2 5 9 5 7 9 5 5 5 7 7 9 2 2 7 7 2 7 2 2 7 2 2 9 2 7 5 2 7 5 2 2 7 2 2 7 7 2 7 2
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 5 7 5 7 2 7 9 5 2 2 5 9 7 7 7\n9 9 1 5 7 5 5 5 2 9 9 1 5 2 2 2\n9 1 1 5 2 9 2 7 7 9 1 1 2 7 5 2\n1 1 1 2 7 5 7 7 5 1 1 1 5 2 2 7\n9 2 2 2 5 7 7 5 2 2 7 7 7 2 7 7\n7 5 5 7 7 7 7 2 2 9 7 7 2 2 2 7\n9 5 5 7 5 9 2 2 2 5 5 5 2 7 7 9\n2 5 2 1 1 1 2 5 5 5 5 9 5 7 7 9\n5 5 5 9 1 1 7 7 7 5 2 2 9 2 5 7\n7 7 5 9 9 1 7 7 2 9 1 9 9 5 5 9\n2 2 2 2 7 5 2 7 2 2 1 1 9 7 9 2\n5 5 2 2 7 5 7 5 2 7 1 1 1 2 7 2\n7 5 7 7 5 5 7 2 2 5 9 5 7 9 5 5\n5 7 7 9 2 2 7 7 2 7 2 2 7 2 2 9\n2 7 5 2 7 5 2 2 7 2 2 7 7 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:\n5 7 7 2 7 5 5 5 9 5 2 2 9 5 2 9 2 5 7\n2 5 7 9 5 5 5 7 2 5 5 7 5 2 2 5 7 9 7\n2 2 2 5 2 2 2 5 5 5 2 2 7 7 5 5 9 9 2\n5 5 5 7 2 5 7 5 2 5 2 7 7 7 5 9 2 7 7\n5 2 9 9 5 7 2 2 2 7 2 2 7 2 9 2 7 7 2\n2 5 9 5 7 2 9 9 2 2 5 9 5 5 2 2 2 2 5\n7 2 7 5 9 7 9 2 2 2 5 2 7 2 2 2 5 9 7\n7 5 5 2 2 7 7 5 2 2 5 5 2 9 2 2 2 5 5\n2 2 7 5 2 5 5 5 2 5 7 2 5 5 5 5 5 7 2\n2 5 9 5 7 5 2 7 2 5 7 1 9 9 2 2 5 7 5\n7 2 2 5 7 7 2 2 2 9 5 1 1 9 5 5 7 2 7\n5 5 5 7 2 5 7 7 2 2 5 9 1 1 7 2 2 7 5\nOutput:\n5 7 7 2 7 5 5 5 9 5 2 2 9 5 2 9 1 1 7\n2 5 7 9 5 5 5 7 2 5 5 7 5 2 2 1 1 9 7\n2 2 2 5 2 2 2 5 5 5 2 2 7 7 5 1 9 9 2\n5 5 5 7 2 5 7 5 2 5 2 7 7 7 5 9 2 7 7\n5 2 9 9 1 7 2 2 2 7 2 2 7 2 9 2 7 7 2\n2 5 9 1 1 2 9 9 2 2 5 9 5 5 2 2 2 2 5\n7 2 1 1 9 7 9 2 2 2 5 2 7 2 2 2 5 9 7\n7 5 5 2 2 7 7 5 2 2 5 5 2 9 2 2 2 5 5\n2 2 7 5 2 5 5 5 2 5 7 2 5 5 5 5 5 7 2\n2 5 9 5 7 5 2 7 2 5 7 1 9 9 2 2 5 7 5\n7 2 2 5 7 7 2 2 2 9 5 1 1 9 5 5 7 2 7\n5 5 5 7 2 5 7 7 2 2 5 9 1 1 7 2 2 7 5\n\nExample 2:\n\nInput:\n5 7 7 2 2 2 5 2 5 5 9 7 7 7 2 7 7 7\n5 7 5 2 5 2 9 7 7 7 5 7 2 9 5 7 5 7\n7 7 7 9 5 5 5 7 2 5 7 7 7 9 7 5 5 7\n5 7 7 5 5 7 2 7 2 9 5 5 7 7 7 2 7 5\n7 2 5 5 7 7 7 7 7 2 5 5 5 2 2 2 7 5\n7 7 2 9 5 2 2 7 2 9 9 2 2 7 9 7 9 5\n9 2 7 7 5 7 2 5 5 7 5 7 5 7 9 9 2 7\n5 7 7 5 7 5 2 2 7 7 7 7 5 2 2 9 2 2\n5 2 7 2 7 2 5 7 2 7 5 5 7 7 7 2 2 5\n5 7 5 2 7 7 1 9 9 2 7 2 2 7 7 2 2 2\n5 9 5 2 5 7 9 9 1 7 9 2 9 2 9 7 9 2\n7 2 5 9 7 7 1 1 9 5 2 7 2 7 7 2 7 2\n2 2 7 2 7 7 9 2 5 7 7 5 2 2 7 7 9 2\n7 7 7 2 7 7 7 5 5 9 7 7 2 2 7 5 5 9\n2 7 7 7 7 2 7 7 2 7 5 7 2 7 2 7 7 2\n9 5 7 2 2 9 7 2 2 7 5 7 2 2 2 2 2 7\nOutput:\n5 7 7 2 2 2 5 2 5 5 9 7 7 7 2 7 7 7\n5 7 5 2 5 2 9 7 7 7 5 7 2 9 5 7 5 7\n7 7 7 9 5 5 5 7 2 5 7 7 7 9 7 5 5 7\n5 7 7 5 5 7 2 7 2 9 5 5 7 7 7 2 7 5\n7 2 5 5 7 7 7 7 7 2 5 5 5 2 2 2 7 5\n7 7 2 9 5 2 2 7 2 9 9 2 2 7 9 1 9 5\n9 2 7 7 5 7 2 5 5 7 5 7 5 7 9 9 1 7\n5 7 7 5 7 5 2 2 7 7 7 7 5 2 1 9 1 2\n5 2 7 2 7 2 5 7 2 7 5 5 7 7 7 2 2 5\n5 7 5 2 7 7 1 9 9 2 7 2 2 7 7 2 2 2\n5 9 5 2 5 7 9 9 1 7 9 2 9 2 9 7 9 2\n7 2 5 9 7 7 1 1 9 5 2 7 2 7 7 2 7 2\n2 2 7 2 7 7 9 2 5 7 7 5 2 2 7 7 9 2\n7 7 7 2 7 7 7 5 5 9 7 7 2 2 7 5 5 9\n2 7 7 7 7 2 7 7 2 7 5 7 2 7 2 7 7 2\n9 5 7 2 2 9 7 2 2 7 5 7 2 2 2 2 2 7\n\nExample 3:\n\nInput:\n7 9 2 9 7 9 5 7 2 9 9 5 5 5 5 7 2\n2 9 2 2 2 7 5 7 5 5 2 7 2 7 2 2 2\n9 2 2 5 2 7 5 5 7 9 2 2 2 2 2 5 7\n2 5 7 2 2 5 2 9 7 7 2 2 2 7 2 2 2\n9 2 2 2 7 7 5 2 5 7 5 2 2 5 5 2 5\n7 2 2 9 2 2 5 2 7 5 2 9 2 5 2 2 2\n7 2 7 2 5 2 7 2 7 2 5 2 2 7 2 7 7\n2 5 7 7 7 2 7 2 2 2 7 7 2 1 1 9 2\n5 5 2 9 2 7 5 5 5 7 5 7 2 1 1 9 2\n2 2 2 7 5 5 7 5 5 7 5 2 9 1 9 1 7\n7 7 5 5 7 7 7 9 2 2 5 2 9 5 2 2 2\n2 2 2 9 2 5 2 2 5 2 2 5 5 2 7 5 2\n2 2 7 5 7 9 9 7 7 9 2 2 2 7 2 2 9\n2 5 5 7 2 2 2 5 2 7 5 2 2 7 5 2 5\n2 2 5 5 2 5 2 2 7 2 2 9 9 2 7 7 5\n2 2 2 5 5 5 2 5 2 7 5 5 9 7 5 5 7\n7 2 7 2 5 5 2 2 2 2 2 2 7 7 2 9 5\nOutput:\n1 9 2 9 7 9 5 7 2 9 9 5 5 5 5 7 2\n1 9 2 2 2 7 5 7 5 5 2 7 2 7 2 2 2\n9 1 2 5 2 7 5 5 7 9 2 2 2 2 2 5 7\n2 5 7 2 2 5 2 9 7 7 2 2 2 7 2 2 2\n9 2 2 2 7 7 5 2 5 7 5 2 2 5 5 2 5\n7 2 2 9 2 2 5 2 7 5 2 9 2 5 2 2 2\n7 2 7 2 5 2 7 2 7 2 5 2 2 7 2 7 7\n2 5 7 7 7 2 7 2 2 2 7 7 2 1 1 9 2\n5 5 2 9 2 7 5 5 5 7 5 7 2 1 1 9 2\n2 2 2 7 5 5 7 5 5 7 5 2 9 1 9 1 7\n7 7 5 5 7 7 7 9 2 2 5 2 9 5 2 2 2\n2 2 2 9 2 5 2 2 5 2 2 5 5 2 7 5 2\n2 2 7 5 7 9 9 7 7 9 2 2 2 7 2 2 9\n2 5 5 7 2 2 2 5 2 7 5 2 2 7 5 2 5\n2 2 5 5 2 5 2 2 7 2 2 9 9 2 7 7 5\n2 2 2 5 5 5 2 5 2 7 5 5 9 7 5 5 7\n7 2 7 2 5 5 2 2 2 2 2 2 7 7 2 9 5\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n2 5 7 5 7 2 7 9 5 2 2 5 9 7 7 7\n9 9 7 5 7 5 5 5 2 9 9 7 5 2 2 2\n9 7 7 5 2 9 2 7 7 9 7 7 2 7 5 2\n2 2 2 2 7 5 7 7 5 7 5 7 5 2 2 7\n9 2 2 2 5 7 7 5 2 2 7 7 7 2 7 7\n7 5 5 7 7 7 7 2 2 9 7 7 2 2 2 7\n9 5 5 7 5 9 2 2 2 5 5 5 2 7 7 9\n2 5 2 1 1 1 2 5 5 5 5 9 5 7 7 9\n5 5 5 9 1 1 7 7 7 5 2 2 9 2 5 7\n7 7 5 9 9 1 7 7 2 9 2 9 9 5 5 9\n2 2 2 2 7 5 2 7 2 2 7 5 9 7 9 2\n5 5 2 2 7 5 7 5 2 7 2 2 5 2 7 2\n7 5 7 7 5 5 7 2 2 5 9 5 7 9 5 5\n5 7 7 9 2 2 7 7 2 7 2 2 7 2 2 9\n2 7 5 2 7 5 2 2 7 2 2 7 7 2 7 2\n", "answer": "2 5 7 5 7 2 7 9 5 2 2 5 9 7 7 7\n9 9 1 5 7 5 5 5 2 9 9 1 5 2 2 2\n9 1 1 5 2 9 2 7 7 9 1 1 2 7 5 2\n1 1 1 2 7 5 7 7 5 1 1 1 5 2 2 7\n9 2 2 2 5 7 7 5 2 2 7 7 7 2 7 7\n7 5 5 7 7 7 7 2 2 9 7 7 2 2 2 7\n9 5 5 7 5 9 2 2 2 5 5 5 2 7 7 9\n2 5 2 1 1 1 2 5 5 5 5 9 5 7 7 9\n5 5 5 9 1 1 7 7 7 5 2 2 9 2 5 7\n7 7 5 9 9 1 7 7 2 9 1 9 9 5 5 9\n2 2 2 2 7 5 2 7 2 2 1 1 9 7 9 2\n5 5 2 2 7 5 7 5 2 7 1 1 1 2 7 2\n7 5 7 7 5 5 7 2 2 5 9 5 7 9 5 5\n5 7 7 9 2 2 7 7 2 7 2 2 7 2 2 9\n2 7 5 2 7 5 2 2 7 2 2 7 7 2 7 2", "metadata": {"source_dataset": "arc_agi", "source_index": 14, "input": [[2, 5, 7, 5, 7, 2, 7, 9, 5, 2, 2, 5, 9, 7, 7, 7], [9, 9, 7, 5, 7, 5, 5, 5, 2, 9, 9, 7, 5, 2, 2, 2], [9, 7, 7, 5, 2, 9, 2, 7, 7, 9, 7, 7, 2, 7, 5, 2], [2, 2, 2, 2, 7, 5, 7, 7, 5, 7, 5, 7, 5, 2, 2, 7], [9, 2, 2, 2, 5, 7, 7, 5, 2, 2, 7, 7, 7, 2, 7, 7], [7, 5, 5, 7, 7, 7, 7, 2, 2, 9, 7, 7, 2, 2, 2, 7], [9, 5, 5, 7, 5, 9, 2, 2, 2, 5, 5, 5, 2, 7, 7, 9], [2, 5, 2, 1, 1, 1, 2, 5, 5, 5, 5, 9, 5, 7, 7, 9], [5, 5, 5, 9, 1, 1, 7, 7, 7, 5, 2, 2, 9, 2, 5, 7], [7, 7, 5, 9, 9, 1, 7, 7, 2, 9, 2, 9, 9, 5, 5, 9], [2, 2, 2, 2, 7, 5, 2, 7, 2, 2, 7, 5, 9, 7, 9, 2], [5, 5, 2, 2, 7, 5, 7, 5, 2, 7, 2, 2, 5, 2, 7, 2], [7, 5, 7, 7, 5, 5, 7, 2, 2, 5, 9, 5, 7, 9, 5, 5], [5, 7, 7, 9, 2, 2, 7, 7, 2, 7, 2, 2, 7, 2, 2, 9], [2, 7, 5, 2, 7, 5, 2, 2, 7, 2, 2, 7, 7, 2, 7, 2]], "output": [[2, 5, 7, 5, 7, 2, 7, 9, 5, 2, 2, 5, 9, 7, 7, 7], [9, 9, 1, 5, 7, 5, 5, 5, 2, 9, 9, 1, 5, 2, 2, 2], [9, 1, 1, 5, 2, 9, 2, 7, 7, 9, 1, 1, 2, 7, 5, 2], [1, 1, 1, 2, 7, 5, 7, 7, 5, 1, 1, 1, 5, 2, 2, 7], [9, 2, 2, 2, 5, 7, 7, 5, 2, 2, 7, 7, 7, 2, 7, 7], [7, 5, 5, 7, 7, 7, 7, 2, 2, 9, 7, 7, 2, 2, 2, 7], [9, 5, 5, 7, 5, 9, 2, 2, 2, 5, 5, 5, 2, 7, 7, 9], [2, 5, 2, 1, 1, 1, 2, 5, 5, 5, 5, 9, 5, 7, 7, 9], [5, 5, 5, 9, 1, 1, 7, 7, 7, 5, 2, 2, 9, 2, 5, 7], [7, 7, 5, 9, 9, 1, 7, 7, 2, 9, 1, 9, 9, 5, 5, 9], [2, 2, 2, 2, 7, 5, 2, 7, 2, 2, 1, 1, 9, 7, 9, 2], [5, 5, 2, 2, 7, 5, 7, 5, 2, 7, 1, 1, 1, 2, 7, 2], [7, 5, 7, 7, 5, 5, 7, 2, 2, 5, 9, 5, 7, 9, 5, 5], [5, 7, 7, 9, 2, 2, 7, 7, 2, 7, 2, 2, 7, 2, 2, 9], [2, 7, 5, 2, 7, 5, 2, 2, 7, 2, 2, 7, 7, 2, 7, 2]], "task_id": "79369cc6", "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": 14, "input": [[2, 5, 7, 5, 7, 2, 7, 9, 5, 2, 2, 5, 9, 7, 7, 7], [9, 9, 7, 5, 7, 5, 5, 5, 2, 9, 9, 7, 5, 2, 2, 2], [9, 7, 7, 5, 2, 9, 2, 7, 7, 9, 7, 7, 2, 7, 5, 2], [2, 2, 2, 2, 7, 5, 7, 7, 5, 7, 5, 7, 5, 2, 2, 7], [9, 2, 2, 2, 5, 7, 7, 5, 2, 2, 7, 7, 7, 2, 7, 7], [7, 5, 5, 7, 7, 7, 7, 2, 2, 9, 7, 7, 2, 2, 2, 7], [9, 5, 5, 7, 5, 9, 2, 2, 2, 5, 5, 5, 2, 7, 7, 9], [2, 5, 2, 1, 1, 1, 2, 5, 5, 5, 5, 9, 5, 7, 7, 9], [5, 5, 5, 9, 1, 1, 7, 7, 7, 5, 2, 2, 9, 2, 5, 7], [7, 7, 5, 9, 9, 1, 7, 7, 2, 9, 2, 9, 9, 5, 5, 9], [2, 2, 2, 2, 7, 5, 2, 7, 2, 2, 7, 5, 9, 7, 9, 2], [5, 5, 2, 2, 7, 5, 7, 5, 2, 7, 2, 2, 5, 2, 7, 2], [7, 5, 7, 7, 5, 5, 7, 2, 2, 5, 9, 5, 7, 9, 5, 5], [5, 7, 7, 9, 2, 2, 7, 7, 2, 7, 2, 2, 7, 2, 2, 9], [2, 7, 5, 2, 7, 5, 2, 2, 7, 2, 2, 7, 7, 2, 7, 2]], "output": [[2, 5, 7, 5, 7, 2, 7, 9, 5, 2, 2, 5, 9, 7, 7, 7], [9, 9, 1, 5, 7, 5, 5, 5, 2, 9, 9, 1, 5, 2, 2, 2], [9, 1, 1, 5, 2, 9, 2, 7, 7, 9, 1, 1, 2, 7, 5, 2], [1, 1, 1, 2, 7, 5, 7, 7, 5, 1, 1, 1, 5, 2, 2, 7], [9, 2, 2, 2, 5, 7, 7, 5, 2, 2, 7, 7, 7, 2, 7, 7], [7, 5, 5, 7, 7, 7, 7, 2, 2, 9, 7, 7, 2, 2, 2, 7], [9, 5, 5, 7, 5, 9, 2, 2, 2, 5, 5, 5, 2, 7, 7, 9], [2, 5, 2, 1, 1, 1, 2, 5, 5, 5, 5, 9, 5, 7, 7, 9], [5, 5, 5, 9, 1, 1, 7, 7, 7, 5, 2, 2, 9, 2, 5, 7], [7, 7, 5, 9, 9, 1, 7, 7, 2, 9, 1, 9, 9, 5, 5, 9], [2, 2, 2, 2, 7, 5, 2, 7, 2, 2, 1, 1, 9, 7, 9, 2], [5, 5, 2, 2, 7, 5, 7, 5, 2, 7, 1, 1, 1, 2, 7, 2], [7, 5, 7, 7, 5, 5, 7, 2, 2, 5, 9, 5, 7, 9, 5, 5], [5, 7, 7, 9, 2, 2, 7, 7, 2, 7, 2, 2, 7, 2, 2, 9], [2, 7, 5, 2, 7, 5, 2, 2, 7, 2, 2, 7, 7, 2, 7, 2]], "task_id": "79369cc6", "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 7 5 5 7 5 5 5 5 7 5 5 5 7 5 5 5 7 5 5 5 5 5 7 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 7 7 7 7 5 5 5 7 7 7 7 5 5 7 7 5 7 0 0 7 7 5 5 7 7 0 7 5 5 7 5 5 7 7 0 7 5 5 5 7 0 0 7 7 5 5 5 5 7 7 7 7 5 5 5 7 7 7 7 5 5 5 5 5 5 5 5 5 5 7 5 5 5 5 5 5 5 5 5 5 7 5 5 5 5 5 5 5 5 5 5 7 5 5 7 5 5 5 7 7 7 7 5 7 5 7 5 5 5 5 5 7 5 5 7 7 0 7 5 5 7 7 7 7 5 5 5 5 5 5 7 0 0 7 5 5 7 7 0 7 5 5 5 7 5 5 7 7 7 7 7 5 7 0 0 7 5 7 5 5 5 5 5 5 5 5 5 5 7 7 7 7 5 5 5 5 5 5 7 5 5 5 5 5 5 5 5 5 5 Output: 7 7 7 7 7 0 0 7 7 7 0 7 7 7 7 7 Example 2: Input: 7 7 7 7 5 7 7 7 7 5 5 5 5 5 5 5 7 0 0 7 5 7 0 0 7 7 7 5 5 5 5 5 7 0 0 7 5 7 0 0 7 5 5 5 5 5 5 5 7 7 7 7 5 7 7 7 7 5 5 7 5 7 5 5 5 5 5 5 5 7 5 5 5 5 7 7 5 5 5 5 7 5 5 5 5 5 5 5 7 5 5 5 7 7 5 5 5 5 5 7 5 5 7 5 5 5 5 5 7 5 5 5 5 5 5 7 7 7 7 5 5 5 5 7 5 5 5 5 5 5 5 7 0 7 7 5 7 5 7 5 5 7 5 5 5 5 5 7 7 0 7 5 5 7 5 5 7 5 5 5 7 7 5 7 7 7 7 5 5 7 5 7 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 5 7 5 5 5 7 5 5 5 5 5 7 7 0 0 7 5 7 5 7 5 5 5 5 5 5 5 5 7 0 0 7 5 5 5 5 5 5 5 5 7 5 5 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 Output: 7 7 7 7 7 0 7 7 7 7 0 7 7 7 7 7 Example 3: Input: 5 5 5 5 5 5 7 5 5 5 5 7 5 5 5 5 5 5 5 5 5 5 7 7 5 5 5 5 7 7 5 5 5 5 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 7 5 5 5 7 5 5 7 7 5 5 5 5 5 5 5 7 7 5 7 5 5 5 5 5 5 5 5 7 5 5 7 5 5 7 7 7 7 7 7 5 5 5 5 5 5 7 5 7 5 5 5 7 7 7 0 7 5 5 5 5 5 5 5 5 5 5 5 5 5 7 0 0 7 7 5 5 5 5 5 5 5 5 5 5 5 7 5 7 0 7 0 7 5 7 5 5 5 5 7 7 7 7 7 5 5 7 7 7 7 7 5 5 5 5 5 5 7 0 7 0 7 5 5 5 5 5 5 7 5 5 5 5 5 5 7 0 0 7 7 5 5 5 5 5 5 5 5 7 5 5 5 5 7 7 7 0 7 5 5 7 5 5 7 5 5 5 7 5 7 5 7 7 7 7 7 7 5 5 7 7 7 7 7 5 5 7 7 5 5 5 5 5 5 7 5 5 7 7 7 0 7 5 5 5 5 5 5 5 5 5 5 5 5 7 7 0 0 7 7 7 5 5 5 5 5 5 7 5 5 5 5 5 7 0 7 0 7 5 5 7 5 7 7 5 5 7 5 5 5 7 7 7 7 7 7 7 5 5 5 5 5 5 5 7 7 5 7 5 5 7 5 7 5 5 Output: 7 7 7 7 7 7 0 7 0 7 7 0 0 7 7 7 7 7 0 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: 5 5 7 7 5 5 5 5 5 5 5 5 5 7 7 7 7 7 5 5 7 5 7 5 5 5 5 5 7 5 5 7 0 7 7 7 5 5 5 5 5 5 5 5 5 5 7 5 5 7 7 7 0 7 5 5 5 5 5 5 5 5 7 5 5 5 5 7 7 0 0 7 5 5 5 5 5 5 7 7 7 7 7 5 5 7 7 7 7 7 7 7 7 7 7 5 7 0 7 7 7 5 5 5 5 7 7 5 7 7 0 0 7 5 7 7 7 0 7 7 5 5 5 7 5 5 7 7 0 0 7 5 7 7 0 0 7 5 5 7 5 5 5 5 7 0 7 7 7 5 7 7 7 7 7 7 5 5 5 5 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 7 5 5 5 5 7 5 5 5 5 5 5 5 5 5 5 5 7 5 5 7 5 5 5 5 5 5 5 5 5 5 7 7 5 7 7 7 7 7 7 5 5 5 5 5 5 7 5 7 5 5 5 7 0 7 7 7 5 5 5 5 5 7 7 7 7 7 5 7 5 7 7 7 0 7 5 7 5 5 5 7 0 7 7 7 5 5 7 7 7 0 0 7 7 5 7 5 5 7 7 7 0 7 5 5 5 7 7 7 7 7 5 5 5 7 5 7 7 0 0 7 5 5 7 5 7 5 5 7 5 5 7 7 5 7 7 7 7 7 5 5 5 7 5 5 5 5 5 5
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 7 7 7 7\n7 7 0 0 7\n7 7 0 0 7\n7 0 7 7 7\n7 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 5 5 5 5\n5 7 5 5 7 5 5 5 5 7 5 5 5 7 5 5\n5 7 5 5 5 5 5 7 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 7 5 5 5 5 5\n5 5 5 7 7 7 7 5 5 5 7 7 7 7 5 5\n7 7 5 7 0 0 7 7 5 5 7 7 0 7 5 5\n7 5 5 7 7 0 7 5 5 5 7 0 0 7 7 5\n5 5 5 7 7 7 7 5 5 5 7 7 7 7 5 5\n5 5 5 5 5 5 5 5 7 5 5 5 5 5 5 5\n5 5 5 7 5 5 5 5 5 5 5 5 5 5 7 5\n5 7 5 5 5 7 7 7 7 5 7 5 7 5 5 5\n5 5 7 5 5 7 7 0 7 5 5 7 7 7 7 5\n5 5 5 5 5 7 0 0 7 5 5 7 7 0 7 5\n5 5 7 5 5 7 7 7 7 7 5 7 0 0 7 5\n7 5 5 5 5 5 5 5 5 5 5 7 7 7 7 5\n5 5 5 5 5 7 5 5 5 5 5 5 5 5 5 5\nOutput:\n7 7 7 7\n7 0 0 7\n7 7 0 7\n7 7 7 7\n\nExample 2:\n\nInput:\n7 7 7 7 5 7 7 7 7 5 5 5 5 5 5 5\n7 0 0 7 5 7 0 0 7 7 7 5 5 5 5 5\n7 0 0 7 5 7 0 0 7 5 5 5 5 5 5 5\n7 7 7 7 5 7 7 7 7 5 5 7 5 7 5 5\n5 5 5 5 5 7 5 5 5 5 7 7 5 5 5 5\n7 5 5 5 5 5 5 5 7 5 5 5 7 7 5 5\n5 5 5 7 5 5 7 5 5 5 5 5 7 5 5 5\n5 5 5 7 7 7 7 5 5 5 5 7 5 5 5 5\n5 5 5 7 0 7 7 5 7 5 7 5 5 7 5 5\n5 5 5 7 7 0 7 5 5 7 5 5 7 5 5 5\n7 7 5 7 7 7 7 5 5 7 5 7 5 5 5 5\n5 5 5 5 5 5 5 5 5 7 7 7 7 5 7 5\n5 5 7 5 5 5 5 5 7 7 0 0 7 5 7 5\n7 5 5 5 5 5 5 5 5 7 0 0 7 5 5 5\n5 5 5 5 5 7 5 5 7 7 7 7 7 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7\nOutput:\n7 7 7 7\n7 0 7 7\n7 7 0 7\n7 7 7 7\n\nExample 3:\n\nInput:\n5 5 5 5 5 5 7 5 5 5 5 7 5 5 5 5 5 5\n5 5 5 5 7 7 5 5 5 5 7 7 5 5 5 5 7 7\n5 5 5 5 5 5 5 5 5 5 5 5 5 7 5 5 5 7\n5 5 7 7 5 5 5 5 5 5 5 7 7 5 7 5 5 5\n5 5 5 5 5 7 5 5 7 5 5 7 7 7 7 7 7 5\n5 5 5 5 5 7 5 7 5 5 5 7 7 7 0 7 5 5\n5 5 5 5 5 5 5 5 5 5 5 7 0 0 7 7 5 5\n5 5 5 5 5 5 5 5 5 7 5 7 0 7 0 7 5 7\n5 5 5 5 7 7 7 7 7 5 5 7 7 7 7 7 5 5\n5 5 5 5 7 0 7 0 7 5 5 5 5 5 5 7 5 5\n5 5 5 5 7 0 0 7 7 5 5 5 5 5 5 5 5 7\n5 5 5 5 7 7 7 0 7 5 5 7 5 5 7 5 5 5\n7 5 7 5 7 7 7 7 7 7 5 5 7 7 7 7 7 5\n5 7 7 5 5 5 5 5 5 7 5 5 7 7 7 0 7 5\n5 5 5 5 5 5 5 5 5 5 5 7 7 0 0 7 7 7\n5 5 5 5 5 5 7 5 5 5 5 5 7 0 7 0 7 5\n5 7 5 7 7 5 5 7 5 5 5 7 7 7 7 7 7 7\n5 5 5 5 5 5 5 7 7 5 7 5 5 7 5 7 5 5\nOutput:\n7 7 7 7 7\n7 0 7 0 7\n7 0 0 7 7\n7 7 7 0 7\n7 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:\n5 5 7 7 5 5 5 5 5 5 5 5 5 7 7 7 7 7\n5 5 7 5 7 5 5 5 5 5 7 5 5 7 0 7 7 7\n5 5 5 5 5 5 5 5 5 5 7 5 5 7 7 7 0 7\n5 5 5 5 5 5 5 5 7 5 5 5 5 7 7 0 0 7\n5 5 5 5 5 5 7 7 7 7 7 5 5 7 7 7 7 7\n7 7 7 7 7 5 7 0 7 7 7 5 5 5 5 7 7 5\n7 7 0 0 7 5 7 7 7 0 7 7 5 5 5 7 5 5\n7 7 0 0 7 5 7 7 0 0 7 5 5 7 5 5 5 5\n7 0 7 7 7 5 7 7 7 7 7 7 5 5 5 5 7 7\n7 7 7 7 7 5 5 5 5 5 5 5 5 7 5 5 5 5\n7 5 5 5 5 5 5 5 5 5 5 5 7 5 5 7 5 5\n5 5 5 5 5 5 5 5 7 7 5 7 7 7 7 7 7 5\n5 5 5 5 5 7 5 7 5 5 5 7 0 7 7 7 5 5\n5 5 5 7 7 7 7 7 5 7 5 7 7 7 0 7 5 7\n5 5 5 7 0 7 7 7 5 5 7 7 7 0 0 7 7 5\n7 5 5 7 7 7 0 7 5 5 5 7 7 7 7 7 5 5\n5 7 5 7 7 0 0 7 5 5 7 5 7 5 5 7 5 5\n7 7 5 7 7 7 7 7 5 5 5 7 5 5 5 5 5 5\n", "answer": "7 7 7 7 7\n7 7 0 0 7\n7 7 0 0 7\n7 0 7 7 7\n7 7 7 7 7", "metadata": {"source_dataset": "arc_agi", "source_index": 15, "input": [[5, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7], [5, 5, 7, 5, 7, 5, 5, 5, 5, 5, 7, 5, 5, 7, 0, 7, 7, 7], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 7, 7, 7, 0, 7], [5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 5, 5, 7, 7, 0, 0, 7], [5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 5, 7, 0, 7, 7, 7, 5, 5, 5, 5, 7, 7, 5], [7, 7, 0, 0, 7, 5, 7, 7, 7, 0, 7, 7, 5, 5, 5, 7, 5, 5], [7, 7, 0, 0, 7, 5, 7, 7, 0, 0, 7, 5, 5, 7, 5, 5, 5, 5], [7, 0, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 7, 7], [7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 5, 5], [7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 7, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5], [5, 5, 5, 5, 5, 7, 5, 7, 5, 5, 5, 7, 0, 7, 7, 7, 5, 5], [5, 5, 5, 7, 7, 7, 7, 7, 5, 7, 5, 7, 7, 7, 0, 7, 5, 7], [5, 5, 5, 7, 0, 7, 7, 7, 5, 5, 7, 7, 7, 0, 0, 7, 7, 5], [7, 5, 5, 7, 7, 7, 0, 7, 5, 5, 5, 7, 7, 7, 7, 7, 5, 5], [5, 7, 5, 7, 7, 0, 0, 7, 5, 5, 7, 5, 7, 5, 5, 7, 5, 5], [7, 7, 5, 7, 7, 7, 7, 7, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5]], "output": [[7, 7, 7, 7, 7], [7, 7, 0, 0, 7], [7, 7, 0, 0, 7], [7, 0, 7, 7, 7], [7, 7, 7, 7, 7]], "task_id": "aee291af", "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": 15, "input": [[5, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7], [5, 5, 7, 5, 7, 5, 5, 5, 5, 5, 7, 5, 5, 7, 0, 7, 7, 7], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 7, 7, 7, 0, 7], [5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 5, 5, 7, 7, 0, 0, 7], [5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 5, 7, 0, 7, 7, 7, 5, 5, 5, 5, 7, 7, 5], [7, 7, 0, 0, 7, 5, 7, 7, 7, 0, 7, 7, 5, 5, 5, 7, 5, 5], [7, 7, 0, 0, 7, 5, 7, 7, 0, 0, 7, 5, 5, 7, 5, 5, 5, 5], [7, 0, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 7, 7], [7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 5, 5], [7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 7, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5], [5, 5, 5, 5, 5, 7, 5, 7, 5, 5, 5, 7, 0, 7, 7, 7, 5, 5], [5, 5, 5, 7, 7, 7, 7, 7, 5, 7, 5, 7, 7, 7, 0, 7, 5, 7], [5, 5, 5, 7, 0, 7, 7, 7, 5, 5, 7, 7, 7, 0, 0, 7, 7, 5], [7, 5, 5, 7, 7, 7, 0, 7, 5, 5, 5, 7, 7, 7, 7, 7, 5, 5], [5, 7, 5, 7, 7, 0, 0, 7, 5, 5, 7, 5, 7, 5, 5, 7, 5, 5], [7, 7, 5, 7, 7, 7, 7, 7, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5]], "output": [[7, 7, 7, 7, 7], [7, 7, 0, 0, 7], [7, 7, 0, 0, 7], [7, 0, 7, 7, 7], [7, 7, 7, 7, 7]], "task_id": "aee291af", "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 9 2 2 2 2 2 2 2 2 2 2 2 5 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 0 2 2 2 2 2 2 2 2 2 2 2 2 5 2 2 7 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 7 2 2 Output: 2 2 2 2 2 2 2 2 2 9 2 2 2 2 2 2 2 2 9 2 2 5 2 2 2 2 2 9 2 2 2 2 5 2 2 2 9 2 2 2 2 2 2 5 2 9 2 2 2 2 2 2 2 2 5 2 2 2 2 2 2 2 2 0 2 5 2 2 2 2 2 2 0 2 2 2 5 2 2 7 2 0 2 2 2 2 2 2 7 2 0 2 2 2 2 2 2 7 2 2 Example 2: Input: 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 8 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 3 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 3 2 5 2 2 2 2 Output: 0 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 0 2 2 8 2 2 2 2 2 2 2 0 8 2 2 2 2 2 2 2 2 8 2 2 2 2 5 3 2 2 8 2 2 2 2 5 2 2 3 8 2 2 2 2 5 2 2 2 2 3 2 2 2 5 2 2 2 2 2 2 3 2 5 2 2 2 2 Example 3: Input: 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 8 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 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 3 2 2 2 2 Output: 2 2 2 2 2 2 2 8 2 2 2 2 2 2 2 2 8 2 2 2 2 2 2 2 2 8 2 2 2 2 2 2 2 2 8 2 2 2 2 2 2 2 2 8 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 3 2 1 2 2 2 2 2 2 3 2 2 2 1 2 2 2 2 3 2 2 2 2 2 1 2 2 3 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 8 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 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 8 3 2 2 2 2 2 2 2 2 2 2 2 2 7 2 2 0 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 7 2 2 0
{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 2 2 2 2 8 2 2 2 2\n2 2 2 2 2 2 8 2 2 2\n2 2 2 3 2 2 9 8 2 2\n2 2 3 2 2 9 2 2 8 2\n2 3 2 2 9 2 2 2 2 8\n3 2 2 9 2 2 2 2 2 2\n2 2 9 7 2 2 0 2 2 2\n2 9 2 2 7 2 2 0 2 2\n9 2 2 2 2 7 2 2 0 2\n2 2 2 2 2 2 7 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:\n2 2 2 2 2 2 2 2 2 9\n2 2 2 2 2 2 2 2 2 2\n2 5 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 9 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 0 2 2 2 2 2 2\n2 2 2 2 2 2 5 2 2 7\n2 2 2 2 2 2 2 2 2 2\n0 2 2 2 2 2 2 7 2 2\nOutput:\n2 2 2 2 2 2 2 2 2 9\n2 2 2 2 2 2 2 2 9 2\n2 5 2 2 2 2 2 9 2 2\n2 2 5 2 2 2 9 2 2 2\n2 2 2 5 2 9 2 2 2 2\n2 2 2 2 5 2 2 2 2 2\n2 2 2 0 2 5 2 2 2 2\n2 2 0 2 2 2 5 2 2 7\n2 0 2 2 2 2 2 2 7 2\n0 2 2 2 2 2 2 7 2 2\n\nExample 2:\n\nInput:\n0 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 8 2 2 2\n2 2 2 2 0 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 5\n3 2 2 2 2 2 2 2 2 2\n2 2 8 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 3 2 5 2 2 2 2\nOutput:\n0 2 2 2 2 2 2 2 2 2\n2 0 2 2 2 2 2 2 2 2\n2 2 0 2 2 2 2 2 2 2\n2 2 2 0 2 2 8 2 2 2\n2 2 2 2 0 8 2 2 2 2\n2 2 2 2 8 2 2 2 2 5\n3 2 2 8 2 2 2 2 5 2\n2 3 8 2 2 2 2 5 2 2\n2 2 3 2 2 2 5 2 2 2\n2 2 2 3 2 5 2 2 2 2\n\nExample 3:\n\nInput:\n2 2 2 2 2 2 2 8 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 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 3\n2 2 2 2 2 2 2 2 2 2\n1 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 1 2 2 3 2 2 2 2\nOutput:\n2 2 2 2 2 2 2 8 2 2\n2 2 2 2 2 2 8 2 2 2\n2 2 2 2 2 8 2 2 2 2\n2 2 2 2 8 2 2 2 2 2\n2 2 2 8 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 3\n2 2 2 2 2 2 2 2 3 2\n1 2 2 2 2 2 2 3 2 2\n2 1 2 2 2 2 3 2 2 2\n2 2 1 2 2 3 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 8 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 3 2 2 9 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 8\n3 2 2 2 2 2 2 2 2 2\n2 2 2 7 2 2 0 2 2 2\n2 2 2 2 2 2 2 2 2 2\n9 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 7 2 2 0\n", "answer": "2 2 2 2 2 8 2 2 2 2\n2 2 2 2 2 2 8 2 2 2\n2 2 2 3 2 2 9 8 2 2\n2 2 3 2 2 9 2 2 8 2\n2 3 2 2 9 2 2 2 2 8\n3 2 2 9 2 2 2 2 2 2\n2 2 9 7 2 2 0 2 2 2\n2 9 2 2 7 2 2 0 2 2\n9 2 2 2 2 7 2 2 0 2\n2 2 2 2 2 2 7 2 2 0", "metadata": {"source_dataset": "arc_agi", "source_index": 16, "input": [[2, 2, 2, 2, 2, 8, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 3, 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, 8], [3, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 7, 2, 2, 0, 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, 7, 2, 2, 0]], "output": [[2, 2, 2, 2, 2, 8, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 8, 2, 2, 2], [2, 2, 2, 3, 2, 2, 9, 8, 2, 2], [2, 2, 3, 2, 2, 9, 2, 2, 8, 2], [2, 3, 2, 2, 9, 2, 2, 2, 2, 8], [3, 2, 2, 9, 2, 2, 2, 2, 2, 2], [2, 2, 9, 7, 2, 2, 0, 2, 2, 2], [2, 9, 2, 2, 7, 2, 2, 0, 2, 2], [9, 2, 2, 2, 2, 7, 2, 2, 0, 2], [2, 2, 2, 2, 2, 2, 7, 2, 2, 0]], "task_id": "1f876c06", "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": 16, "input": [[2, 2, 2, 2, 2, 8, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 3, 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, 8], [3, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 7, 2, 2, 0, 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, 7, 2, 2, 0]], "output": [[2, 2, 2, 2, 2, 8, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 8, 2, 2, 2], [2, 2, 2, 3, 2, 2, 9, 8, 2, 2], [2, 2, 3, 2, 2, 9, 2, 2, 8, 2], [2, 3, 2, 2, 9, 2, 2, 2, 2, 8], [3, 2, 2, 9, 2, 2, 2, 2, 2, 2], [2, 2, 9, 7, 2, 2, 0, 2, 2, 2], [2, 9, 2, 2, 7, 2, 2, 0, 2, 2], [9, 2, 2, 2, 2, 7, 2, 2, 0, 2], [2, 2, 2, 2, 2, 2, 7, 2, 2, 0]], "task_id": "1f876c06", "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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