Datasets:

PrimeIntellect
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SYNTHETIC-2-Base-v2-General-Reasoning

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train · 165k rows

problem_id stringlengths 12 17 ⌀	task_group stringclasses 1 value	task_type stringclasses 2 values	prompt stringlengths 243 16.6k	verification_info stringlengths 495 26.4k	metadata stringlengths 17 5.73k
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 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]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 4 4 4 4 4 4 4 4 4 4 4 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]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 4 4 4 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, 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, 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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, 5, 5, 5, 5, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4], [4, 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], [4, 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], [4, 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], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 0, 4, 4, 4, 4, 0, 5, 5, 5, 5, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4], [2, 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], [2, 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], [2, 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], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 0, 4, 4, 4, 4, 0, 5, 5, 5, 5, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4], [2, 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], [2, 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], [2, 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], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 6, 6, 6, 6, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 4, 4, 4], [2, 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], [2, 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], [2, 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], [0, 0, 0, 0, 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, 5, 5, 5, 5, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4], [4, 4, 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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]], "output": [[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, 5, 5, 5, 5, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4], [4, 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], [4, 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], [4, 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], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 0, 4, 4, 4, 4, 0, 5, 5, 5, 5, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4], [2, 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], [2, 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], [2, 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], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 0, 4, 4, 4, 4, 0, 5, 5, 5, 5, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4], [2, 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], [2, 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], [2, 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], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 6, 6, 6, 6, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 4, 4, 4], [2, 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], [2, 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], [2, 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], [0, 0, 0, 0, 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, 5, 5, 5, 5, 0, 4, 4, 4, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4], [4, 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], [4, 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], [4, 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]], "task_id": "e760a62e", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 6 6 6 6 6 6 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]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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]}}
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 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]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 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]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 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]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 2 2 2 2 2 2 2 2 2 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]}}
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 6 8 6 9 Output: 6 6 6 6 6 6 6 6 6 6 5 6 8 6 9 6 6 6 6 6 6 6 6 6 5 6 8 6 9 6 6 6 6 6 6 6 6 6 5 6 8 6 9 6 6 6 6 6 6 6 6 6 5 6 8 6 9 6 6 6 6 6 6 6 6 6 5 6 8 6 9 6 6 6 6 6 6 6 6 6 5 6 8 6 9 6 6 6 6 6 6 6 6 6 5 6 8 6 9 6 6 6 6 6 6 6 6 6 5 6 8 6 9 6 6 6 6 6 6 6 6 6 5 6 8 6 9 6 6 6 6 6 6 6 6 6 5 6 8 6 9 6 6 6 6 6 6 6 6 6 5 6 8 6 9 6 6 6 6 6 6 6 6 6 6 6 8 6 9 6 6 6 6 6 6 6 6 6 6 6 8 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Example 2: Input: 6 6 7 6 0 Output: 6 6 6 6 6 6 6 7 6 0 6 6 6 6 6 6 7 6 0 6 6 6 6 6 6 7 6 0 6 6 6 6 6 6 7 6 0 6 6 6 6 6 6 7 6 0 6 6 6 6 6 6 7 6 0 6 6 6 6 6 6 7 6 0 6 6 6 6 6 6 7 6 0 6 6 6 6 6 6 6 6 0 6 6 6 6 6 6 6 6 0 6 6 6 6 6 6 6 6 6 Example 3: Input: 9 5 6 1 6 Output: 6 6 6 6 6 6 6 6 6 6 9 5 6 1 6 6 6 6 6 6 6 6 6 6 9 5 6 1 6 6 6 6 6 6 6 6 6 6 9 5 6 1 6 6 6 6 6 6 6 6 6 6 9 5 6 1 6 6 6 6 6 6 6 6 6 6 9 5 6 1 6 6 6 6 6 6 6 6 6 6 9 5 6 1 6 6 6 6 6 6 6 6 6 6 9 5 6 1 6 6 6 6 6 6 6 6 6 6 9 5 6 1 6 6 6 6 6 6 6 6 6 6 9 5 6 1 6 6 6 6 6 6 6 6 6 6 9 5 6 1 6 6 6 6 6 6 6 6 6 6 9 5 6 1 6 6 6 6 6 6 6 6 6 6 6 5 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Example 4: Input: 6 6 3 6 6 Output: 6 6 3 6 6 6 3 6 6 6 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Example 5: Input: 6 6 6 9 6 Output: 6 6 6 9 6 6 6 9 6 6 6 9 6 6 6 9 6 6 6 6 6 6 6 6 6 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 1 5 7 8 6	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 5 7 8 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 5 7 8 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 1 5 7 8 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 1 5 7 8 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 1 5 7 8 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 1 5 7 8 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 1 5 7 8 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 1 5 7 8 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 1 5 7 8 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 1 5 7 8 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 1 5 7 8 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 1 5 7 8 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 1 5 7 8 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 1 5 7 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 1 5 7 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n1 5 7 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n5 7 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n7 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n8 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", "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\n6\n8\n6\n9\nOutput:\n6 6 6 6 6 6 6 6 6 6 5 6 8 6 9\n6 6 6 6 6 6 6 6 6 5 6 8 6 9 6\n6 6 6 6 6 6 6 6 5 6 8 6 9 6 6\n6 6 6 6 6 6 6 5 6 8 6 9 6 6 6\n6 6 6 6 6 6 5 6 8 6 9 6 6 6 6\n6 6 6 6 6 5 6 8 6 9 6 6 6 6 6\n6 6 6 6 5 6 8 6 9 6 6 6 6 6 6\n6 6 6 5 6 8 6 9 6 6 6 6 6 6 6\n6 6 5 6 8 6 9 6 6 6 6 6 6 6 6\n6 5 6 8 6 9 6 6 6 6 6 6 6 6 6\n5 6 8 6 9 6 6 6 6 6 6 6 6 6 6\n6 8 6 9 6 6 6 6 6 6 6 6 6 6 6\n8 6 9 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 6 6 6 6 6 6 6 6 6 6 6 6 6\n9 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n\nExample 2:\n\nInput:\n6\n6\n7\n6\n0\nOutput:\n6 6 6 6 6 6 6 7 6 0\n6 6 6 6 6 6 7 6 0 6\n6 6 6 6 6 7 6 0 6 6\n6 6 6 6 7 6 0 6 6 6\n6 6 6 7 6 0 6 6 6 6\n6 6 7 6 0 6 6 6 6 6\n6 7 6 0 6 6 6 6 6 6\n7 6 0 6 6 6 6 6 6 6\n6 0 6 6 6 6 6 6 6 6\n0 6 6 6 6 6 6 6 6 6\n\nExample 3:\n\nInput:\n9\n5\n6\n1\n6\nOutput:\n6 6 6 6 6 6 6 6 6 6 9 5 6 1 6\n6 6 6 6 6 6 6 6 6 9 5 6 1 6 6\n6 6 6 6 6 6 6 6 9 5 6 1 6 6 6\n6 6 6 6 6 6 6 9 5 6 1 6 6 6 6\n6 6 6 6 6 6 9 5 6 1 6 6 6 6 6\n6 6 6 6 6 9 5 6 1 6 6 6 6 6 6\n6 6 6 6 9 5 6 1 6 6 6 6 6 6 6\n6 6 6 9 5 6 1 6 6 6 6 6 6 6 6\n6 6 9 5 6 1 6 6 6 6 6 6 6 6 6\n6 9 5 6 1 6 6 6 6 6 6 6 6 6 6\n9 5 6 1 6 6 6 6 6 6 6 6 6 6 6\n5 6 1 6 6 6 6 6 6 6 6 6 6 6 6\n6 1 6 6 6 6 6 6 6 6 6 6 6 6 6\n1 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n\nExample 4:\n\nInput:\n6\n6\n3\n6\n6\nOutput:\n6 6 3 6 6\n6 3 6 6 6\n3 6 6 6 6\n6 6 6 6 6\n6 6 6 6 6\n\nExample 5:\n\nInput:\n6\n6\n6\n9\n6\nOutput:\n6 6 6 9 6\n6 6 9 6 6\n6 9 6 6 6\n9 6 6 6 6\n6 6 6 6 6\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n1\n5\n7\n8\n6\n", "answer": "6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 5 7 8 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 5 7 8 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 1 5 7 8 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 1 5 7 8 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 1 5 7 8 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 1 5 7 8 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 1 5 7 8 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 1 5 7 8 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 1 5 7 8 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 1 5 7 8 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 1 5 7 8 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 1 5 7 8 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 1 5 7 8 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 1 5 7 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 1 5 7 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n1 5 7 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n5 7 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n7 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n8 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", "metadata": {"source_dataset": "arc_agi", "source_index": 17, "input": [[1], [5], [7], [8], [6]], "output": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 5, 7, 8, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 5, 7, 8, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 5, 7, 8, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 5, 7, 8, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 5, 7, 8, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 5, 7, 8, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 1, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 1, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 1, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 1, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 1, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 1, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 1, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 1, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [1, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_id": "feca6190", "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": 17, "input": [[1], [5], [7], [8], [6]], "output": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 5, 7, 8, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 5, 7, 8, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 5, 7, 8, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 5, 7, 8, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 5, 7, 8, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 5, 7, 8, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 1, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 1, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 1, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 1, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 1, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 1, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 1, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 1, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [1, 5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [5, 7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [7, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_id": "feca6190", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 1 1 5 1 1 1 5 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Output: 1 1 5 1 1 1 5 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 2 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 2 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Example 2: Input: 1 5 5 1 5 1 5 5 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Output: 1 5 5 1 5 1 5 5 1 1 1 1 1 1 1 1 1 1 1 1 5 2 2 1 2 1 2 2 1 1 5 2 2 1 2 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 2 2 1 2 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 5 2 2 1 2 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 Example 3: Input: 1 1 5 1 1 5 5 1 5 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Output: 1 1 5 1 1 5 5 1 5 1 1 1 1 1 1 1 1 1 1 1 5 1 2 1 1 2 2 1 2 1 1 1 1 1 1 1 1 1 1 1 5 1 2 1 1 2 2 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 2 1 1 2 2 1 2 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 5 1 5 1 1 5 5 1 5 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 5 1 5 1 1 5 5 1 5\n1 1 1 1 1 1 1 1 1 1\n5 2 1 2 1 1 2 2 1 2\n5 2 1 2 1 1 2 2 1 2\n1 1 1 1 1 1 1 1 1 1\n5 2 1 2 1 1 2 2 1 2\n1 1 1 1 1 1 1 1 1 1\n5 2 1 2 1 1 2 2 1 2\n1 1 1 1 1 1 1 1 1 1\n5 2 1 2 1 1 2 2 1 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:\n1 1 5 1 1 1 5 1 1 5\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n5 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n5 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\nOutput:\n1 1 5 1 1 1 5 1 1 5\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n5 1 2 1 1 1 2 1 1 2\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n5 1 2 1 1 1 2 1 1 2\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n\nExample 2:\n\nInput:\n1 5 5 1 5 1 5 5 1 1\n1 1 1 1 1 1 1 1 1 1\n5 1 1 1 1 1 1 1 1 1\n5 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n5 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n5 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\nOutput:\n1 5 5 1 5 1 5 5 1 1\n1 1 1 1 1 1 1 1 1 1\n5 2 2 1 2 1 2 2 1 1\n5 2 2 1 2 1 2 2 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n5 2 2 1 2 1 2 2 1 1\n1 1 1 1 1 1 1 1 1 1\n5 2 2 1 2 1 2 2 1 1\n1 1 1 1 1 1 1 1 1 1\n\nExample 3:\n\nInput:\n1 1 5 1 1 5 5 1 5 1\n1 1 1 1 1 1 1 1 1 1\n5 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n5 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n5 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\nOutput:\n1 1 5 1 1 5 5 1 5 1\n1 1 1 1 1 1 1 1 1 1\n5 1 2 1 1 2 2 1 2 1\n1 1 1 1 1 1 1 1 1 1\n5 1 2 1 1 2 2 1 2 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n5 1 2 1 1 2 2 1 2 1\n1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n1 5 1 5 1 1 5 5 1 5\n1 1 1 1 1 1 1 1 1 1\n5 1 1 1 1 1 1 1 1 1\n5 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n5 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n5 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1\n5 1 1 1 1 1 1 1 1 1\n", "answer": "1 5 1 5 1 1 5 5 1 5\n1 1 1 1 1 1 1 1 1 1\n5 2 1 2 1 1 2 2 1 2\n5 2 1 2 1 1 2 2 1 2\n1 1 1 1 1 1 1 1 1 1\n5 2 1 2 1 1 2 2 1 2\n1 1 1 1 1 1 1 1 1 1\n5 2 1 2 1 1 2 2 1 2\n1 1 1 1 1 1 1 1 1 1\n5 2 1 2 1 1 2 2 1 2", "metadata": {"source_dataset": "arc_agi", "source_index": 18, "input": [[1, 5, 1, 5, 1, 1, 5, 5, 1, 5], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1]], "output": [[1, 5, 1, 5, 1, 1, 5, 5, 1, 5], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 2, 1, 2, 1, 1, 2, 2, 1, 2], [5, 2, 1, 2, 1, 1, 2, 2, 1, 2], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 2, 1, 2, 1, 1, 2, 2, 1, 2], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 2, 1, 2, 1, 1, 2, 2, 1, 2], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 2, 1, 2, 1, 1, 2, 2, 1, 2]], "task_id": "2281f1f4", "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": 18, "input": [[1, 5, 1, 5, 1, 1, 5, 5, 1, 5], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1]], "output": [[1, 5, 1, 5, 1, 1, 5, 5, 1, 5], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 2, 1, 2, 1, 1, 2, 2, 1, 2], [5, 2, 1, 2, 1, 1, 2, 2, 1, 2], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 2, 1, 2, 1, 1, 2, 2, 1, 2], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 2, 1, 2, 1, 1, 2, 2, 1, 2], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 2, 1, 2, 1, 1, 2, 2, 1, 2]], "task_id": "2281f1f4", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 7 7 7 9 9 9 9 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 2 7 7 7 7 5 7 7 2 2 2 7 7 7 5 5 7 7 7 7 7 7 7 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 6 8 7 7 7 2 7 7 7 6 6 8 7 7 2 2 2 7 6 6 7 8 7 7 7 2 7 7 Output: 7 7 7 9 9 9 9 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 2 7 7 7 7 8 7 7 2 2 2 7 7 7 8 8 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 6 8 7 7 7 2 7 7 7 6 6 8 7 7 2 2 2 7 6 6 7 8 7 7 7 2 7 7 Example 2: Input: 7 7 7 7 7 7 7 7 7 7 7 7 5 7 7 7 7 7 7 7 7 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 0 0 7 7 7 7 7 7 7 7 0 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 4 4 4 8 7 7 6 6 6 7 7 4 7 8 7 7 7 6 7 7 Output: 7 7 7 7 7 7 7 7 7 7 7 7 5 7 7 7 7 7 7 7 7 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 0 0 7 7 7 7 7 7 7 7 0 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 4 4 4 8 7 7 8 8 8 7 7 4 7 8 7 7 7 8 7 7 Example 3: Input: 9 9 7 7 7 7 7 7 7 7 9 9 7 7 7 7 7 1 1 7 7 7 7 7 7 7 7 7 1 7 7 7 2 2 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 4 7 7 7 7 7 7 8 7 7 4 4 7 7 0 0 7 8 7 7 7 7 7 7 7 0 7 8 7 7 7 7 7 7 Output: 9 9 7 7 7 7 7 7 7 7 9 9 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 7 7 7 2 2 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 4 7 7 7 7 7 7 8 7 7 4 4 7 7 0 0 7 8 7 7 7 7 7 7 7 0 7 8 7 7 7 7 7 7 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 7 7 7 7 7 7 2 7 7 7 7 7 7 7 2 2 2 7 4 7 9 7 7 7 7 7 7 7 4 7 9 9 9 7 7 7 7 7 4 7 7 7 7 7 7 0 0 7 7 7 7 7 7 7 7 0 7 7 7 7 8 8 8 8 7 0 7 7 7 7 7 7 3 8 7 7 7 5 7 7 3 3 3 8 7 7 7 5 5 7 7 7 7 8 7 7 7 5 7 7	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 7 7 7 7 7 8 7 7 7\n7 7 7 7 8 8 8 7 4 7\n9 7 7 7 7 7 7 7 4 7\n9 9 9 7 7 7 7 7 4 7\n7 7 7 7 7 0 0 7 7 7\n7 7 7 7 7 0 7 7 7 7\n8 8 8 8 7 0 7 7 7 7\n7 7 3 8 7 7 7 5 7 7\n3 3 3 8 7 7 7 5 5 7\n7 7 7 8 7 7 7 5 7 7", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n7 7 7 9 9 9 9 7 7 7\n7 7 7 7 9 7 7 7 7 7\n7 7 2 7 7 7 7 5 7 7\n2 2 2 7 7 7 5 5 7 7\n7 7 7 7 7 5 5 7 7 7\n7 7 7 7 7 7 7 7 7 7\n8 8 8 8 7 7 7 7 7 7\n7 7 6 8 7 7 7 2 7 7\n7 6 6 8 7 7 2 2 2 7\n6 6 7 8 7 7 7 2 7 7\nOutput:\n7 7 7 9 9 9 9 7 7 7\n7 7 7 7 9 7 7 7 7 7\n7 7 2 7 7 7 7 8 7 7\n2 2 2 7 7 7 8 8 7 7\n7 7 7 7 7 8 8 7 7 7\n7 7 7 7 7 7 7 7 7 7\n8 8 8 8 7 7 7 7 7 7\n7 7 6 8 7 7 7 2 7 7\n7 6 6 8 7 7 2 2 2 7\n6 6 7 8 7 7 7 2 7 7\n\nExample 2:\n\nInput:\n7 7 7 7 7 7 7 7 7 7\n7 7 5 7 7 7 7 7 7 7\n7 5 5 5 7 7 7 7 7 7\n7 7 7 7 7 7 0 7 7 7\n7 7 7 7 7 7 0 0 7 7\n7 7 7 7 7 7 0 7 7 7\n8 8 8 8 7 7 7 7 7 7\n7 7 7 8 7 7 7 7 7 7\n4 4 4 8 7 7 6 6 6 7\n7 4 7 8 7 7 7 6 7 7\nOutput:\n7 7 7 7 7 7 7 7 7 7\n7 7 5 7 7 7 7 7 7 7\n7 5 5 5 7 7 7 7 7 7\n7 7 7 7 7 7 0 7 7 7\n7 7 7 7 7 7 0 0 7 7\n7 7 7 7 7 7 0 7 7 7\n8 8 8 8 7 7 7 7 7 7\n7 7 7 8 7 7 7 7 7 7\n4 4 4 8 7 7 8 8 8 7\n7 4 7 8 7 7 7 8 7 7\n\nExample 3:\n\nInput:\n9 9 7 7 7 7 7 7 7 7\n9 9 7 7 7 7 7 1 1 7\n7 7 7 7 7 7 7 7 1 7\n7 7 2 2 2 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n8 8 8 8 7 7 4 7 7 7\n7 7 7 8 7 7 4 4 7 7\n0 0 7 8 7 7 7 7 7 7\n7 0 7 8 7 7 7 7 7 7\nOutput:\n9 9 7 7 7 7 7 7 7 7\n9 9 7 7 7 7 7 8 8 7\n7 7 7 7 7 7 7 7 8 7\n7 7 2 2 2 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n8 8 8 8 7 7 4 7 7 7\n7 7 7 8 7 7 4 4 7 7\n0 0 7 8 7 7 7 7 7 7\n7 0 7 8 7 7 7 7 7 7\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n7 7 7 7 7 7 2 7 7 7\n7 7 7 7 2 2 2 7 4 7\n9 7 7 7 7 7 7 7 4 7\n9 9 9 7 7 7 7 7 4 7\n7 7 7 7 7 0 0 7 7 7\n7 7 7 7 7 0 7 7 7 7\n8 8 8 8 7 0 7 7 7 7\n7 7 3 8 7 7 7 5 7 7\n3 3 3 8 7 7 7 5 5 7\n7 7 7 8 7 7 7 5 7 7\n", "answer": "7 7 7 7 7 7 8 7 7 7\n7 7 7 7 8 8 8 7 4 7\n9 7 7 7 7 7 7 7 4 7\n9 9 9 7 7 7 7 7 4 7\n7 7 7 7 7 0 0 7 7 7\n7 7 7 7 7 0 7 7 7 7\n8 8 8 8 7 0 7 7 7 7\n7 7 3 8 7 7 7 5 7 7\n3 3 3 8 7 7 7 5 5 7\n7 7 7 8 7 7 7 5 7 7", "metadata": {"source_dataset": "arc_agi", "source_index": 19, "input": [[7, 7, 7, 7, 7, 7, 2, 7, 7, 7], [7, 7, 7, 7, 2, 2, 2, 7, 4, 7], [9, 7, 7, 7, 7, 7, 7, 7, 4, 7], [9, 9, 9, 7, 7, 7, 7, 7, 4, 7], [7, 7, 7, 7, 7, 0, 0, 7, 7, 7], [7, 7, 7, 7, 7, 0, 7, 7, 7, 7], [8, 8, 8, 8, 7, 0, 7, 7, 7, 7], [7, 7, 3, 8, 7, 7, 7, 5, 7, 7], [3, 3, 3, 8, 7, 7, 7, 5, 5, 7], [7, 7, 7, 8, 7, 7, 7, 5, 7, 7]], "output": [[7, 7, 7, 7, 7, 7, 8, 7, 7, 7], [7, 7, 7, 7, 8, 8, 8, 7, 4, 7], [9, 7, 7, 7, 7, 7, 7, 7, 4, 7], [9, 9, 9, 7, 7, 7, 7, 7, 4, 7], [7, 7, 7, 7, 7, 0, 0, 7, 7, 7], [7, 7, 7, 7, 7, 0, 7, 7, 7, 7], [8, 8, 8, 8, 7, 0, 7, 7, 7, 7], [7, 7, 3, 8, 7, 7, 7, 5, 7, 7], [3, 3, 3, 8, 7, 7, 7, 5, 5, 7], [7, 7, 7, 8, 7, 7, 7, 5, 7, 7]], "task_id": "63613498", "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": 19, "input": [[7, 7, 7, 7, 7, 7, 2, 7, 7, 7], [7, 7, 7, 7, 2, 2, 2, 7, 4, 7], [9, 7, 7, 7, 7, 7, 7, 7, 4, 7], [9, 9, 9, 7, 7, 7, 7, 7, 4, 7], [7, 7, 7, 7, 7, 0, 0, 7, 7, 7], [7, 7, 7, 7, 7, 0, 7, 7, 7, 7], [8, 8, 8, 8, 7, 0, 7, 7, 7, 7], [7, 7, 3, 8, 7, 7, 7, 5, 7, 7], [3, 3, 3, 8, 7, 7, 7, 5, 5, 7], [7, 7, 7, 8, 7, 7, 7, 5, 7, 7]], "output": [[7, 7, 7, 7, 7, 7, 8, 7, 7, 7], [7, 7, 7, 7, 8, 8, 8, 7, 4, 7], [9, 7, 7, 7, 7, 7, 7, 7, 4, 7], [9, 9, 9, 7, 7, 7, 7, 7, 4, 7], [7, 7, 7, 7, 7, 0, 0, 7, 7, 7], [7, 7, 7, 7, 7, 0, 7, 7, 7, 7], [8, 8, 8, 8, 7, 0, 7, 7, 7, 7], [7, 7, 3, 8, 7, 7, 7, 5, 7, 7], [3, 3, 3, 8, 7, 7, 7, 5, 5, 7], [7, 7, 7, 8, 7, 7, 7, 5, 7, 7]], "task_id": "63613498", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 3 3 3 7 7 3 7 7 7 7 7 3 3 3 3 3 3 3 7 7 7 7 7 5 5 5 5 5 5 5 7 7 7 7 7 5 5 5 5 5 5 5 7 7 7 7 7 5 7 7 7 5 5 5 7 7 7 7 7 5 7 7 7 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Output: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 3 3 3 7 7 3 7 7 7 7 7 3 3 3 3 3 3 3 7 7 7 5 5 5 5 5 5 5 7 7 7 7 7 5 5 5 5 5 5 5 7 7 7 7 7 5 7 7 7 5 5 5 7 7 7 7 7 5 7 7 7 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Example 2: Input: 6 1 1 1 1 6 6 6 6 6 6 6 6 6 1 1 1 1 6 6 6 6 6 6 6 6 6 2 2 2 2 6 6 6 6 6 6 6 6 6 2 2 2 2 6 6 6 6 6 6 6 6 6 2 2 2 2 6 6 6 6 6 6 6 6 6 2 2 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 8 8 8 6 6 6 6 6 6 6 6 6 6 3 3 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Output: 6 6 1 1 1 1 6 6 6 6 6 6 6 6 6 1 1 1 1 6 6 6 6 6 6 6 2 2 2 2 6 6 6 6 6 6 6 6 6 2 2 2 2 6 6 6 6 6 6 6 6 6 2 2 2 2 6 6 6 6 6 6 6 6 6 2 2 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 8 8 8 6 6 6 6 6 6 6 6 3 3 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Example 3: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 2 2 6 6 2 2 2 2 2 6 6 6 6 6 6 6 2 2 2 2 2 6 6 6 6 6 6 6 2 2 2 2 2 6 6 6 6 6 6 6 2 2 2 2 2 6 6 6 6 6 6 6 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Output: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 2 2 6 6 2 2 2 2 2 6 6 6 6 6 6 6 2 2 2 2 2 6 6 6 6 6 6 6 2 2 2 2 2 6 6 6 6 6 6 6 2 2 2 2 2 6 6 6 6 6 6 6 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 2 5 2 2 2 2 2 2 2 2 2 2 5 5 5 2 2 2 2 2 2 2 2 2 2 3 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 2 2 2 2 2 2 2 2 2 7 7 7 7 2 2 2 2 2 2 2 2 2 7 7 7 7 2 2 2 2 2 2 2 2 2 7 2 2 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 5 2 5 2 2 2\n2 2 2 2 2 2 2 5 5 5 2 2 2\n2 2 2 2 2 3 3 3 2 2 2 2 2\n2 2 2 2 2 3 3 3 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 3 3 3 3 2 2 2 2 2 2\n2 7 7 7 7 2 2 2 2 2 2 2 2\n2 7 7 7 7 2 2 2 2 2 2 2 2\n2 7 2 2 7 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 3 3 3 3 7 7 3 7 7 7\n7 7 3 3 3 3 3 3 3 7 7 7\n7 7 5 5 5 5 5 5 5 7 7 7\n7 7 5 5 5 5 5 5 5 7 7 7\n7 7 5 7 7 7 5 5 5 7 7 7\n7 7 5 7 7 7 5 5 5 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\nOutput:\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 3 3 3 3 7 7 3 7 7\n7 7 7 3 3 3 3 3 3 3 7 7\n7 5 5 5 5 5 5 5 7 7 7 7\n7 5 5 5 5 5 5 5 7 7 7 7\n7 5 7 7 7 5 5 5 7 7 7 7\n7 5 7 7 7 5 5 5 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n\nExample 2:\n\nInput:\n6 1 1 1 1 6 6 6 6 6 6 6 6\n6 1 1 1 1 6 6 6 6 6 6 6 6\n6 2 2 2 2 6 6 6 6 6 6 6 6\n6 2 2 2 2 6 6 6 6 6 6 6 6\n6 2 2 2 2 6 6 6 6 6 6 6 6\n6 2 2 6 6 6 6 6 6 6 6 6 6\n6 2 2 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 8 8 8 6 6 6\n6 6 6 6 6 6 6 3 3 3 6 6 6\n6 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\nOutput:\n6 6 1 1 1 1 6 6 6 6 6 6 6\n6 6 1 1 1 1 6 6 6 6 6 6 6\n2 2 2 2 6 6 6 6 6 6 6 6 6\n2 2 2 2 6 6 6 6 6 6 6 6 6\n2 2 2 2 6 6 6 6 6 6 6 6 6\n2 2 6 6 6 6 6 6 6 6 6 6 6\n2 2 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 8 8 8 6 6\n6 6 6 6 6 6 3 3 3 6 6 6 6\n6 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\n\nExample 3:\n\nInput:\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 6 6 6 2 2 6 6 2 2 2\n2 2 6 6 6 6 6 6 6 2 2 2\n2 2 6 6 6 6 6 6 6 2 2 2\n2 2 6 6 6 6 6 6 6 2 2 2\n2 2 6 6 6 6 6 6 6 2 2 2\n2 2 1 1 1 1 1 1 1 2 2 2\n2 2 1 1 1 1 1 1 1 2 2 2\n2 2 1 1 1 1 2 2 2 2 2 2\n2 2 1 1 1 1 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\nOutput:\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 6 6 6 2 2 6 6 2 2\n2 2 2 6 6 6 6 6 6 6 2 2\n2 2 2 6 6 6 6 6 6 6 2 2\n2 2 2 6 6 6 6 6 6 6 2 2\n2 2 2 6 6 6 6 6 6 6 2 2\n2 1 1 1 1 1 1 1 2 2 2 2\n2 1 1 1 1 1 1 1 2 2 2 2\n2 1 1 1 1 2 2 2 2 2 2 2\n2 1 1 1 1 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 5 2 5 2 2 2 2\n2 2 2 2 2 2 5 5 5 2 2 2 2\n2 2 2 2 2 2 3 3 3 2 2 2 2\n2 2 2 2 2 2 3 3 3 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 3 3 3 3 2 2 2 2 2 2 2\n2 2 7 7 7 7 2 2 2 2 2 2 2\n2 2 7 7 7 7 2 2 2 2 2 2 2\n2 2 7 2 2 7 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2\n", "answer": "2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 5 2 5 2 2 2\n2 2 2 2 2 2 2 5 5 5 2 2 2\n2 2 2 2 2 3 3 3 2 2 2 2 2\n2 2 2 2 2 3 3 3 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 3 3 3 3 2 2 2 2 2 2\n2 7 7 7 7 2 2 2 2 2 2 2 2\n2 7 7 7 7 2 2 2 2 2 2 2 2\n2 7 2 2 7 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2", "metadata": {"source_dataset": "arc_agi", "source_index": 20, "input": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 5, 2, 5, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 5, 5, 5, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2], [2, 2, 7, 7, 7, 7, 2, 2, 2, 2, 2, 2, 2], [2, 2, 7, 7, 7, 7, 2, 2, 2, 2, 2, 2, 2], [2, 2, 7, 2, 2, 7, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "output": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 5, 2, 5, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 2, 2, 2], [2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2], [2, 7, 7, 7, 7, 2, 2, 2, 2, 2, 2, 2, 2], [2, 7, 7, 7, 7, 2, 2, 2, 2, 2, 2, 2, 2], [2, 7, 2, 2, 7, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "task_id": "4364c1c4", "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": 20, "input": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 5, 2, 5, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 5, 5, 5, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2], [2, 2, 7, 7, 7, 7, 2, 2, 2, 2, 2, 2, 2], [2, 2, 7, 7, 7, 7, 2, 2, 2, 2, 2, 2, 2], [2, 2, 7, 2, 2, 7, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "output": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 5, 2, 5, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 2, 2, 2], [2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2], [2, 7, 7, 7, 7, 2, 2, 2, 2, 2, 2, 2, 2], [2, 7, 7, 7, 7, 2, 2, 2, 2, 2, 2, 2, 2], [2, 7, 2, 2, 7, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "task_id": "4364c1c4", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 8 8 6 4 4 4 4 5 8 4 4 4 4 4 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Output: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 7 4 4 4 4 4 8 5 4 4 4 4 6 8 8 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 Example 2: Input: 4 4 4 2 5 4 4 4 4 4 4 8 2 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Output: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 7 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 2 8 4 4 4 4 4 4 5 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 Example 3: Input: 3 5 5 4 7 2 4 4 4 Output: 4 4 4 2 7 4 5 5 3 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 4 4 4 4 4 9 4 4 2 4 4 4 4 4 4 8 8 4 4 4 4 4 4 4 8 5 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 7 4 4 4\n4 4 4 5 5 4 4 4 4\n4 4 4 5 8 4 4 4 4\n4 4 4 8 8 4 4 4 4\n4 4 2 4 4 9 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\n4 4 4 4 4 2 4\n4 4 4 8 8 6 4\n4 4 4 5 8 4 4\n4 4 4 7 4 4 4\n4 4 4 4 4 4 4\n4 4 4 4 4 4 4\n4 4 4 4 4 4 4\n4 4 4 4 4 4 4\nOutput:\n4 4 4 4 4 4 4\n4 4 4 4 4 4 4\n4 4 4 4 4 4 4\n4 4 4 4 4 4 4\n4 4 4 7 4 4 4\n4 4 8 5 4 4 4\n4 6 8 8 4 4 4\n4 2 4 4 4 4 4\n4 4 4 4 4 4 4\n\nExample 2:\n\nInput:\n4 4 4 2 5 4 4 4 4\n4 4 8 2 4 4 4 4 4\n4 4 8 4 4 4 4 4 4\n4 4 7 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\nOutput:\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 7 4 4 4 4 4 4\n4 4 8 4 4 4 4 4 4\n4 2 8 4 4 4 4 4 4\n5 2 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n\nExample 3:\n\nInput:\n3 5 5\n4 7 2\n4 4 4\nOutput:\n4 4 4\n2 7 4\n5 5 3\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n4 4 4 4 4 9 4 4 2\n4 4 4 4 4 4 8 8 4\n4 4 4 4 4 4 8 5 4\n4 4 4 4 4 4 5 5 4\n4 4 4 4 4 7 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n", "answer": "4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 7 4 4 4\n4 4 4 5 5 4 4 4 4\n4 4 4 5 8 4 4 4 4\n4 4 4 8 8 4 4 4 4\n4 4 2 4 4 9 4 4 4", "metadata": {"source_dataset": "arc_agi", "source_index": 21, "input": [[4, 4, 4, 4, 4, 9, 4, 4, 2], [4, 4, 4, 4, 4, 4, 8, 8, 4], [4, 4, 4, 4, 4, 4, 8, 5, 4], [4, 4, 4, 4, 4, 4, 5, 5, 4], [4, 4, 4, 4, 4, 7, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4]], "output": [[4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 7, 4, 4, 4], [4, 4, 4, 5, 5, 4, 4, 4, 4], [4, 4, 4, 5, 8, 4, 4, 4, 4], [4, 4, 4, 8, 8, 4, 4, 4, 4], [4, 4, 2, 4, 4, 9, 4, 4, 4]], "task_id": "90347967", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}	{"source_dataset": "arc_agi", "source_index": 21, "input": [[4, 4, 4, 4, 4, 9, 4, 4, 2], [4, 4, 4, 4, 4, 4, 8, 8, 4], [4, 4, 4, 4, 4, 4, 8, 5, 4], [4, 4, 4, 4, 4, 4, 5, 5, 4], [4, 4, 4, 4, 4, 7, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4]], "output": [[4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 7, 4, 4, 4], [4, 4, 4, 5, 5, 4, 4, 4, 4], [4, 4, 4, 5, 8, 4, 4, 4, 4], [4, 4, 4, 8, 8, 4, 4, 4, 4], [4, 4, 2, 4, 4, 9, 4, 4, 4]], "task_id": "90347967", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 0 0 0 0 0 0 3 3 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 0 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 0 3 3 3 3 0 3 3 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 0 3 3 3 3 0 3 3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 0 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 0 0 0 0 0 0 3 3 3 3 3 3 0 3 3 3 3 3 3 0 3 3 3 3 3 0 3 3 3 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 0 3 3 3 3 3 0 3 3 3 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 0 3 3 3 3 3 0 0 0 0 0 0 3 3 3 3 3 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 3 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Output: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 0 0 0 0 0 0 3 3 3 0 2 2 2 2 2 2 0 3 3 3 3 3 3 3 3 0 2 2 2 2 0 3 2 2 2 2 2 2 2 2 2 0 3 3 3 3 3 3 3 3 0 2 2 2 2 0 3 3 3 0 2 2 2 2 2 2 0 3 3 3 3 3 3 3 3 0 2 2 2 2 0 3 3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 0 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 2 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 0 2 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 2 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 0 0 0 0 0 0 3 3 3 3 3 3 0 2 2 2 2 2 2 0 3 3 3 3 3 0 2 2 2 2 0 3 3 3 3 3 3 0 2 2 2 2 2 2 0 3 3 3 3 3 0 2 2 2 2 0 3 3 3 3 3 3 0 2 2 2 2 2 2 0 3 3 3 3 3 0 0 0 0 0 0 3 3 3 3 3 3 0 2 2 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 2 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 Example 2: Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 3 3 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 0 3 3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 3 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 0 3 3 3 3 3 3 3 3 0 0 0 0 0 0 3 3 3 3 3 3 3 3 0 3 3 3 3 0 3 3 3 3 3 3 3 3 0 3 3 3 3 0 3 3 3 3 3 3 3 3 0 3 3 3 3 0 3 3 3 3 3 3 3 3 0 3 3 3 3 0 3 3 3 3 3 3 3 3 0 0 0 0 0 0 3 3 3 3 3 3 3 3 0 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Output: 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 3 3 3 2 3 3 3 3 3 3 0 0 0 0 0 0 0 3 3 3 0 2 2 2 2 2 2 0 3 3 3 2 3 3 3 3 3 3 0 2 2 2 2 2 0 3 3 2 2 2 2 2 2 2 2 0 3 3 3 2 3 3 3 3 3 3 0 2 2 2 2 2 2 2 2 3 0 2 2 2 2 2 2 0 3 3 3 2 3 3 3 3 3 3 0 2 2 2 2 2 0 3 3 3 0 0 0 0 0 0 0 0 3 3 3 2 3 3 3 3 3 3 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 2 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 2 2 2 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 2 2 2 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 2 2 2 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 2 2 2 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 2 2 2 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 2 2 2 2 0 3 3 3 3 3 3 3 3 0 0 0 0 0 0 3 3 3 3 3 3 3 3 0 2 2 2 2 0 3 3 3 3 3 3 3 3 0 2 2 2 2 0 3 3 3 3 3 3 3 3 0 2 2 2 2 0 3 3 3 3 3 3 3 3 0 2 2 2 2 0 3 3 3 3 3 3 3 3 0 0 0 0 0 0 3 3 3 3 3 3 3 3 0 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 3 3 3 0 0 0 0 0 3 0 0 0 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 3 3 0 0 0 0 0 0 0 0 0 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 3 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 3 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 0 3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 0 3 3 3 3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3 0 3 3 3 3 3 0 3 3 3 3 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 0 0 3 0 0 0 0 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 3 3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3 0 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 3 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 3 3\n3 0 0 0 0 0 2 0 0 0 3 3 3 3 3 0 2 2 2 2 2 2 2 0 3 3\n3 0 2 2 2 2 2 2 2 0 3 3 3 3 3 0 2 2 2 2 2 2 2 0 3 3\n3 0 2 2 2 2 2 2 2 0 3 3 3 3 3 0 2 2 2 2 2 2 2 0 3 3\n3 0 2 2 2 2 2 2 2 0 3 3 3 3 3 0 2 2 2 2 2 2 2 0 3 3\n3 0 2 2 2 2 2 2 2 0 3 3 3 3 3 0 0 0 0 0 0 0 0 0 3 3\n3 0 2 2 2 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 0 2 2 2 2 2 2 2 0 3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3\n3 0 0 0 0 0 0 0 0 0 3 3 0 2 2 2 2 2 2 0 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 0 2 2 2 2 2 2 2 2 2 2 2 2 2\n3 3 3 3 3 3 3 3 3 3 3 3 0 2 2 2 2 2 2 0 3 3 3 3 3 3\n3 3 3 0 0 0 0 0 0 0 3 3 0 2 2 2 2 2 2 0 3 3 3 3 3 3\n3 3 3 0 2 2 2 2 2 0 3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3\n3 3 3 0 2 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 0 2 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 0 2 2 2 2 2 0 3 3 3 3 3 0 0 0 0 0 0 0 0 3 3 3\n3 3 3 0 2 2 2 2 2 0 3 3 3 3 3 0 2 2 2 2 2 2 0 3 3 3\n3 3 3 0 0 2 0 0 0 0 3 3 3 3 3 0 2 2 2 2 2 2 2 2 2 2\n3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 0 2 2 2 2 2 2 0 3 3 3\n3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 0 2 2 2 2 2 2 0 3 3 3\n3 3 3 3 3 2 3 0 0 0 0 0 3 3 3 0 0 0 0 0 0 0 0 3 3 3\n3 3 3 3 3 2 3 0 2 2 2 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 2 3 0 0 2 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 2 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 0 0 0 0 0 0 3\n3 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 0 3 3 3 3 0 3\n3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 0 3 3 3 3 0 3\n3 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 0 3 3 3 3 0 3\n3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 0 3 3 3 3 0 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 0 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 0 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 0 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 3 3\n3 3 3 0 0 0 0 0 0 3 3 3 3 3 3 0 3 3 3 3 3 3 0 3 3\n3 3 3 0 3 3 3 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 0 3 3\n3 3 3 0 3 3 3 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 0 3 3\n3 3 3 0 0 0 0 0 0 3 3 3 3 3 3 0 3 3 3 3 3 3 0 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 3 0 0 0 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\nOutput:\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 0 0 0 0 0 0 3\n3 3 0 2 2 2 2 2 2 0 3 3 3 3 3 3 3 3 0 2 2 2 2 0 3\n2 2 2 2 2 2 2 2 2 0 3 3 3 3 3 3 3 3 0 2 2 2 2 0 3\n3 3 0 2 2 2 2 2 2 0 3 3 3 3 3 3 3 3 0 2 2 2 2 0 3\n3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 0 2 2 2 2 0 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 0 2 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n3 3 3 3 3 3 3 3 0 2 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 0 2 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 3 3\n3 3 3 0 0 0 0 0 0 3 3 3 3 3 3 0 2 2 2 2 2 2 0 3 3\n3 3 3 0 2 2 2 2 0 3 3 3 3 3 3 0 2 2 2 2 2 2 0 3 3\n3 3 3 0 2 2 2 2 0 3 3 3 3 3 3 0 2 2 2 2 2 2 0 3 3\n3 3 3 0 0 0 0 0 0 3 3 3 3 3 3 0 2 2 2 2 2 2 0 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 2 0 0 0 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3\n\nExample 2:\n\nInput:\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 3 3\n3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 0 3 3\n3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3\n3 0 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 0 3 3\n3 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 0 0 0 0 3 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 0 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 0 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 0 3 3 3 3 3\n3 3 3 0 0 0 0 0 0 3 3 3 3 3 3 3 3 0 3 3 3 3 0 3 3 3 3 3\n3 3 3 0 3 3 3 3 0 3 3 3 3 3 3 3 3 0 3 3 3 3 0 3 3 3 3 3\n3 3 3 0 3 3 3 3 0 3 3 3 3 3 3 3 3 0 0 0 0 0 0 3 3 3 3 3\n3 3 3 0 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\nOutput:\n3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 0 0 0 0 0 0 0 0 3 3 3 2 3 3 3 3 3 3 0 0 0 0 0 0 0 3 3\n3 0 2 2 2 2 2 2 0 3 3 3 2 3 3 3 3 3 3 0 2 2 2 2 2 0 3 3\n2 2 2 2 2 2 2 2 0 3 3 3 2 3 3 3 3 3 3 0 2 2 2 2 2 2 2 2\n3 0 2 2 2 2 2 2 0 3 3 3 2 3 3 3 3 3 3 0 2 2 2 2 2 0 3 3\n3 0 0 0 0 0 0 0 0 3 3 3 2 3 3 3 3 3 3 0 0 0 0 0 0 0 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 0 0 0 0 2 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 2 2 2 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 2 2 2 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 2 2 2 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 2 2 2 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 2 2 2 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 2 2 2 2 0 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 2 2 2 2 0 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 2 2 2 2 0 3 3 3 3 3\n3 3 3 0 0 0 0 0 0 3 3 3 3 3 3 3 3 0 2 2 2 2 0 3 3 3 3 3\n3 3 3 0 2 2 2 2 0 3 3 3 3 3 3 3 3 0 2 2 2 2 0 3 3 3 3 3\n3 3 3 0 2 2 2 2 0 3 3 3 3 3 3 3 3 0 0 0 0 0 0 3 3 3 3 3\n3 3 3 0 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 3 3\n3 0 0 0 0 0 3 0 0 0 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3\n3 0 3 3 3 3 3 3 3 0 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3\n3 0 3 3 3 3 3 3 3 0 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3\n3 0 3 3 3 3 3 3 3 0 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3\n3 0 3 3 3 3 3 3 3 0 3 3 3 3 3 0 0 0 0 0 0 0 0 0 3 3\n3 0 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 0 3 3 3 3 3 3 3 0 3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3\n3 0 0 0 0 0 0 0 0 0 3 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3\n3 3 3 0 0 0 0 0 0 0 3 3 0 3 3 3 3 3 3 0 3 3 3 3 3 3\n3 3 3 0 3 3 3 3 3 0 3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3\n3 3 3 0 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 0 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 0 3 3 3 3 3 0 3 3 3 3 3 0 0 0 0 0 0 0 0 3 3 3\n3 3 3 0 3 3 3 3 3 0 3 3 3 3 3 0 3 3 3 3 3 3 0 3 3 3\n3 3 3 0 0 3 0 0 0 0 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 0 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 0 3 3 3\n3 3 3 3 3 3 3 0 0 0 0 0 3 3 3 0 0 0 0 0 0 0 0 3 3 3\n3 3 3 3 3 3 3 0 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 0 0 3 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n", "answer": "3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 3 3\n3 0 0 0 0 0 2 0 0 0 3 3 3 3 3 0 2 2 2 2 2 2 2 0 3 3\n3 0 2 2 2 2 2 2 2 0 3 3 3 3 3 0 2 2 2 2 2 2 2 0 3 3\n3 0 2 2 2 2 2 2 2 0 3 3 3 3 3 0 2 2 2 2 2 2 2 0 3 3\n3 0 2 2 2 2 2 2 2 0 3 3 3 3 3 0 2 2 2 2 2 2 2 0 3 3\n3 0 2 2 2 2 2 2 2 0 3 3 3 3 3 0 0 0 0 0 0 0 0 0 3 3\n3 0 2 2 2 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 0 2 2 2 2 2 2 2 0 3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3\n3 0 0 0 0 0 0 0 0 0 3 3 0 2 2 2 2 2 2 0 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 0 2 2 2 2 2 2 2 2 2 2 2 2 2\n3 3 3 3 3 3 3 3 3 3 3 3 0 2 2 2 2 2 2 0 3 3 3 3 3 3\n3 3 3 0 0 0 0 0 0 0 3 3 0 2 2 2 2 2 2 0 3 3 3 3 3 3\n3 3 3 0 2 2 2 2 2 0 3 3 0 0 0 0 0 0 0 0 3 3 3 3 3 3\n3 3 3 0 2 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 0 2 2 2 2 2 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 0 2 2 2 2 2 0 3 3 3 3 3 0 0 0 0 0 0 0 0 3 3 3\n3 3 3 0 2 2 2 2 2 0 3 3 3 3 3 0 2 2 2 2 2 2 0 3 3 3\n3 3 3 0 0 2 0 0 0 0 3 3 3 3 3 0 2 2 2 2 2 2 2 2 2 2\n3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 0 2 2 2 2 2 2 0 3 3 3\n3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 0 2 2 2 2 2 2 0 3 3 3\n3 3 3 3 3 2 3 0 0 0 0 0 3 3 3 0 0 0 0 0 0 0 0 3 3 3\n3 3 3 3 3 2 3 0 2 2 2 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 2 3 0 0 2 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 2 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3", "metadata": {"source_dataset": "arc_agi", "source_index": 22, "input": [[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3], [3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3], [3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3], [3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3], [3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3], [3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3], [3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3], [3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 0, 0, 3, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]], "output": [[3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3], [3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 3, 3, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3], [3, 0, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3], [3, 0, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3], [3, 0, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3], [3, 0, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3], [3, 0, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 0, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 2, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 3], [3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 2, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 3], [3, 3, 3, 0, 2, 2, 2, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3], [3, 3, 3, 0, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 0, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 0, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3], [3, 3, 3, 0, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 0, 3, 3, 3], [3, 3, 3, 0, 0, 2, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 0, 3, 3, 3], [3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 0, 3, 3, 3], [3, 3, 3, 3, 3, 2, 3, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3], [3, 3, 3, 3, 3, 2, 3, 0, 2, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 2, 3, 0, 0, 2, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]], "task_id": "551d5bf1", "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": 22, "input": [[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3], [3, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3], [3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3], [3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3], [3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3], [3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3], [3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 0, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3], [3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3], [3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 0, 0, 3, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 0, 0, 3, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]], "output": [[3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3], [3, 0, 0, 0, 0, 0, 2, 0, 0, 0, 3, 3, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3], [3, 0, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3], [3, 0, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3], [3, 0, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3], [3, 0, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3], [3, 0, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 0, 2, 2, 2, 2, 2, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3], [3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 2, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 3], [3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 2, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 3], [3, 3, 3, 0, 2, 2, 2, 2, 2, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3], [3, 3, 3, 0, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 0, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 0, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3], [3, 3, 3, 0, 2, 2, 2, 2, 2, 0, 3, 3, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 0, 3, 3, 3], [3, 3, 3, 0, 0, 2, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 0, 3, 3, 3], [3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 2, 2, 2, 2, 2, 2, 0, 3, 3, 3], [3, 3, 3, 3, 3, 2, 3, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3], [3, 3, 3, 3, 3, 2, 3, 0, 2, 2, 2, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 2, 3, 0, 0, 2, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]], "task_id": "551d5bf1", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 8 2 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 9 8 8 8 8 8 4 8 8 8 8 8 8 6 8 8 8 8 8 8 8 8 8 8 Output: 6 8 8 0 9 3 2 5 4 Example 2: Input: 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 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 Output: 8 8 8 2 7 3 5 1 9 Example 3: Input: 8 8 8 8 8 8 8 8 8 8 6 8 8 8 8 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 0 8 8 2 8 8 8 8 8 8 8 8 8 8 8 8 8 5 Output: 0 1 5 1 2 5 6 4 0 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 8 8 2 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 8 8 8 3 8 8 8 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 8 8 8 0 8 2 8 8 8 8 8 8 8 8 8 8 8 8 8	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 3 1\n4 0 5\n0 6 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:\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 5 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 0 8\n2 8 8 8 8 8 8 8 8 8\n8 8 8 8 3 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 9 8 8 8\n8 8 4 8 8 8 8 8 8 6\n8 8 8 8 8 8 8 8 8 8\nOutput:\n6 8 8\n0 9 3\n2 5 4\n\nExample 2:\n\nInput:\n8 8 8 8 8 8 8 8 8 8\n8 8 9 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 2\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 7 8 8 8\n5 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 1 8 8 3 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\nOutput:\n8 8 8\n2 7 3\n5 1 9\n\nExample 3:\n\nInput:\n8 8 8 8 8 8 8 8 8 8\n6 8 8 8 8 8 1 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 5 8 8 8 8 8\n8 8 8 8 8 8 8 0 8 8\n8 4 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 1 8\n8 8 0 8 8 2 8 8 8 8\n8 8 8 8 8 8 8 8 8 5\nOutput:\n0 1 5\n1 2 5\n6 4 0\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n8 8 2 8 8 8 8 8 8 8\n8 8 8 8 8 4 8 8 8 8\n0 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 5 8 8 8 8 8 8\n8 8 8 8 8 8 8 3 8 8\n8 6 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 1\n8 8 8 8 0 8 2 8 8 8\n8 8 8 8 8 8 8 8 8 8\n", "answer": "2 3 1\n4 0 5\n0 6 2", "metadata": {"source_dataset": "arc_agi", "source_index": 23, "input": [[8, 8, 2, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 4, 8, 8, 8, 8], [0, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 5, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 3, 8, 8], [8, 6, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 1], [8, 8, 8, 8, 0, 8, 2, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "output": [[2, 3, 1], [4, 0, 5], [0, 6, 2]], "task_id": "cdecee7f", "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": 23, "input": [[8, 8, 2, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 4, 8, 8, 8, 8], [0, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 5, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 3, 8, 8], [8, 6, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 1], [8, 8, 8, 8, 0, 8, 2, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "output": [[2, 3, 1], [4, 0, 5], [0, 6, 2]], "task_id": "cdecee7f", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 2 1 2 2 1 1 1 2 1 1 2 2 2 2 2 2 1 2 1 1 1 1 2 1 2 Output: 1 1 1 2 Example 2: Input: 3 2 2 3 2 2 3 2 2 3 2 2 2 2 2 3 2 2 3 2 3 3 2 2 3 Output: 3 2 3 3 Example 3: Input: 8 8 2 2 8 8 2 2 8 2 2 2 2 2 2 8 8 2 8 8 8 2 2 8 2 Output: 2 8 8 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: 0 0 2 0 2 2 0 2 2 0 2 2 2 2 2 0 0 2 0 0 2 0 2 2 0	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "0 2\n2 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 1 2 2 1\n1 1 2 1 1\n2 2 2 2 2\n2 1 2 1 1\n1 1 2 1 2\nOutput:\n1 1\n1 2\n\nExample 2:\n\nInput:\n3 2 2 3 2\n2 3 2 2 3\n2 2 2 2 2\n3 2 2 3 2\n3 3 2 2 3\nOutput:\n3 2\n3 3\n\nExample 3:\n\nInput:\n8 8 2 2 8\n8 2 2 8 2\n2 2 2 2 2\n8 8 2 8 8\n8 2 2 8 2\nOutput:\n2 8\n8 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:\n0 0 2 0 2\n2 0 2 2 0\n2 2 2 2 2\n0 0 2 0 0\n2 0 2 2 0\n", "answer": "0 2\n2 0", "metadata": {"source_dataset": "arc_agi", "source_index": 24, "input": [[0, 0, 2, 0, 2], [2, 0, 2, 2, 0], [2, 2, 2, 2, 2], [0, 0, 2, 0, 0], [2, 0, 2, 2, 0]], "output": [[0, 2], [2, 0]], "task_id": "88a62173", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}	{"source_dataset": "arc_agi", "source_index": 24, "input": [[0, 0, 2, 0, 2], [2, 0, 2, 2, 0], [2, 2, 2, 2, 2], [0, 0, 2, 0, 0], [2, 0, 2, 2, 0]], "output": [[0, 2], [2, 0]], "task_id": "88a62173", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 2 2 5 5 5 5 5 5 5 7 6 6 7 5 5 5 5 5 2 6 3 3 6 2 5 5 5 5 2 6 3 3 6 2 5 5 5 5 5 7 6 6 7 5 5 5 5 5 5 5 2 2 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Output: 2 6 3 5 7 6 5 5 2 Example 2: Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 9 5 5 5 5 9 5 5 5 5 5 8 0 7 8 5 5 5 5 5 5 7 4 4 0 5 5 5 5 5 5 0 4 4 7 5 5 5 5 5 5 8 7 0 8 5 5 5 5 5 9 5 5 5 5 9 5 5 5 5 5 5 5 5 5 5 5 5 5 Output: 5 0 4 5 8 7 9 5 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 3 6 3 3 5 5 5 5 5 5 3 8 8 6 6 5 5 5 5 6 6 8 8 3 5 5 5 5 5 5 3 3 6 3 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "6 6 8\n5 3 3\n5 5 5", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 2 2 5 5 5 5\n5 5 5 7 6 6 7 5 5 5\n5 5 2 6 3 3 6 2 5 5\n5 5 2 6 3 3 6 2 5 5\n5 5 5 7 6 6 7 5 5 5\n5 5 5 5 2 2 5 5 5 5\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5\nOutput:\n2 6 3\n5 7 6\n5 5 2\n\nExample 2:\n\nInput:\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5\n5 9 5 5 5 5 9 5 5 5\n5 5 8 0 7 8 5 5 5 5\n5 5 7 4 4 0 5 5 5 5\n5 5 0 4 4 7 5 5 5 5\n5 5 8 7 0 8 5 5 5 5\n5 9 5 5 5 5 9 5 5 5\n5 5 5 5 5 5 5 5 5 5\nOutput:\n5 0 4\n5 8 7\n9 5 5\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 6 5 5 5 5 5\n5 5 5 3 6 3 3 5 5 5\n5 5 5 3 8 8 6 6 5 5\n5 5 6 6 8 8 3 5 5 5\n5 5 5 3 3 6 3 5 5 5\n5 5 5 5 5 6 5 5 5 5\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5\n", "answer": "6 6 8\n5 3 3\n5 5 5", "metadata": {"source_dataset": "arc_agi", "source_index": 25, "input": [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 6, 5, 5, 5, 5, 5], [5, 5, 5, 3, 6, 3, 3, 5, 5, 5], [5, 5, 5, 3, 8, 8, 6, 6, 5, 5], [5, 5, 6, 6, 8, 8, 3, 5, 5, 5], [5, 5, 5, 3, 3, 6, 3, 5, 5, 5], [5, 5, 5, 5, 5, 6, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]], "output": [[6, 6, 8], [5, 3, 3], [5, 5, 5]], "task_id": "2013d3e2", "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": 25, "input": [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 6, 5, 5, 5, 5, 5], [5, 5, 5, 3, 6, 3, 3, 5, 5, 5], [5, 5, 5, 3, 8, 8, 6, 6, 5, 5], [5, 5, 6, 6, 8, 8, 3, 5, 5, 5], [5, 5, 5, 3, 3, 6, 3, 5, 5, 5], [5, 5, 5, 5, 5, 6, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]], "output": [[6, 6, 8], [5, 3, 3], [5, 5, 5]], "task_id": "2013d3e2", "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 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2 9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9 8 5 0 5 8 5 0 5 8 5 0 5 8 5 0 5 8 5 0 5 8 5 0 5 8 7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 7 6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6 1 8 9 8 1 8 9 8 1 8 9 8 1 8 9 8 1 8 9 8 1 8 9 8 1 0 7 8 7 0 7 8 7 0 7 8 7 0 7 8 7 0 7 8 7 0 7 8 7 0 5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2 9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9 8 5 0 5 8 5 0 5 8 5 0 9 9 9 9 5 8 5 0 5 8 5 0 5 8 7 2 5 2 7 2 5 2 7 2 5 9 9 9 9 2 7 2 5 2 7 2 5 2 7 6 9 2 9 9 9 9 9 6 9 2 9 9 9 9 9 6 9 2 9 6 9 2 9 6 1 8 9 8 9 9 9 8 1 9 9 8 1 8 9 8 1 8 9 8 1 8 9 8 1 0 7 8 7 9 9 9 7 0 9 9 7 0 7 8 7 0 7 8 7 0 7 8 7 0 5 6 7 6 9 9 9 6 5 9 9 6 5 6 7 6 5 6 7 6 5 6 7 6 5 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 9 9 9 1 2 9 0 1 0 9 0 1 0 9 0 1 0 9 0 9 9 9 0 1 0 9 9 9 0 9 8 5 0 5 8 5 0 5 8 5 0 5 8 5 9 9 9 5 0 5 9 9 9 5 8 7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 9 9 9 2 7 6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6 Output: 5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2 9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9 8 5 0 5 8 5 0 5 8 5 0 5 8 5 0 5 8 5 0 5 8 5 0 5 8 7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 7 6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6 1 8 9 8 1 8 9 8 1 8 9 8 1 8 9 8 1 8 9 8 1 8 9 8 1 0 7 8 7 0 7 8 7 0 7 8 7 0 7 8 7 0 7 8 7 0 7 8 7 0 5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2 9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9 8 5 0 5 8 5 0 5 8 5 0 5 8 5 0 5 8 5 0 5 8 5 0 5 8 7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 7 6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6 1 8 9 8 1 8 9 8 1 8 9 8 1 8 9 8 1 8 9 8 1 8 9 8 1 0 7 8 7 0 7 8 7 0 7 8 7 0 7 8 7 0 7 8 7 0 7 8 7 0 5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2 9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9 8 5 0 5 8 5 0 5 8 5 0 5 8 5 0 5 8 5 0 5 8 5 0 5 8 7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 7 6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6 Example 2: Input: 9 0 9 9 9 9 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 8 9 9 9 9 9 9 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 7 8 9 9 9 9 9 8 7 0 1 0 7 9 9 9 9 9 7 8 7 0 1 0 7 6 7 9 9 9 9 9 7 6 9 0 9 6 9 9 9 9 9 6 7 6 9 0 9 6 1 6 1 8 9 8 1 6 1 8 9 8 1 9 9 9 9 9 1 6 1 8 9 8 1 0 1 0 7 8 7 0 1 0 7 8 7 0 9 9 9 9 9 0 1 0 7 8 7 0 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 8 9 9 9 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 7 8 9 9 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 9 9 9 9 9 7 6 7 9 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 9 9 9 9 9 6 1 6 9 9 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 9 9 9 9 9 1 0 1 9 9 9 7 0 1 0 7 8 7 0 1 0 7 8 7 0 9 9 9 9 9 0 9 0 9 9 9 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 8 9 9 9 9 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 Output: 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 Example 3: Input: 5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5 9 0 0 9 1 6 1 9 0 0 9 1 6 1 9 0 0 9 1 6 1 9 0 0 9 8 5 5 8 0 1 0 8 5 5 8 0 1 0 8 5 5 8 0 1 0 8 5 5 8 7 9 9 7 5 0 5 7 9 9 7 5 0 5 7 9 9 7 5 0 5 7 9 9 7 6 8 8 6 9 5 9 6 8 8 6 9 5 9 6 8 8 6 9 5 9 6 8 8 6 1 7 7 1 8 9 8 1 7 7 1 8 9 8 1 7 7 1 8 9 9 9 9 7 1 0 6 6 0 7 8 7 0 6 6 0 7 8 7 0 6 6 0 7 8 9 9 9 6 0 5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5 6 7 9 9 9 1 5 9 0 0 9 1 6 1 9 0 0 9 1 6 1 9 0 0 9 1 6 1 9 0 0 9 8 5 5 8 9 9 9 9 9 5 8 0 1 0 8 5 5 8 0 1 0 8 5 5 8 7 9 9 7 9 9 9 9 9 9 7 5 0 5 7 9 9 7 5 0 5 7 9 9 7 6 8 8 6 9 9 9 9 9 8 6 9 5 9 6 8 8 6 9 5 9 6 8 8 6 1 7 7 1 8 9 8 1 7 7 1 8 9 8 1 7 7 1 8 9 8 1 7 7 1 0 6 6 9 9 9 7 0 6 6 0 7 8 7 0 6 6 0 7 8 7 0 6 6 0 5 1 1 9 9 9 6 5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5 9 0 0 9 1 6 1 9 0 0 9 1 6 1 9 0 0 9 1 6 1 9 0 0 9 8 5 5 8 0 1 0 8 5 5 8 0 1 0 8 5 5 8 0 1 0 8 5 5 8 7 9 9 9 9 9 9 7 9 9 7 5 0 5 7 9 9 9 9 9 9 9 9 9 7 6 8 9 9 9 9 9 6 8 8 6 9 5 9 6 8 8 9 9 9 9 9 8 8 6 1 7 9 9 9 9 9 1 7 7 1 8 9 8 1 7 7 9 9 9 9 9 7 7 1 0 6 9 9 9 9 9 0 6 6 0 7 8 7 0 6 6 9 9 9 9 9 6 6 0 5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5 Output: 5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5 9 0 0 9 1 6 1 9 0 0 9 1 6 1 9 0 0 9 1 6 1 9 0 0 9 8 5 5 8 0 1 0 8 5 5 8 0 1 0 8 5 5 8 0 1 0 8 5 5 8 7 9 9 7 5 0 5 7 9 9 7 5 0 5 7 9 9 7 5 0 5 7 9 9 7 6 8 8 6 9 5 9 6 8 8 6 9 5 9 6 8 8 6 9 5 9 6 8 8 6 1 7 7 1 8 9 8 1 7 7 1 8 9 8 1 7 7 1 8 9 8 1 7 7 1 0 6 6 0 7 8 7 0 6 6 0 7 8 7 0 6 6 0 7 8 7 0 6 6 0 5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5 9 0 0 9 1 6 1 9 0 0 9 1 6 1 9 0 0 9 1 6 1 9 0 0 9 8 5 5 8 0 1 0 8 5 5 8 0 1 0 8 5 5 8 0 1 0 8 5 5 8 7 9 9 7 5 0 5 7 9 9 7 5 0 5 7 9 9 7 5 0 5 7 9 9 7 6 8 8 6 9 5 9 6 8 8 6 9 5 9 6 8 8 6 9 5 9 6 8 8 6 1 7 7 1 8 9 8 1 7 7 1 8 9 8 1 7 7 1 8 9 8 1 7 7 1 0 6 6 0 7 8 7 0 6 6 0 7 8 7 0 6 6 0 7 8 7 0 6 6 0 5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5 9 0 0 9 1 6 1 9 0 0 9 1 6 1 9 0 0 9 1 6 1 9 0 0 9 8 5 5 8 0 1 0 8 5 5 8 0 1 0 8 5 5 8 0 1 0 8 5 5 8 7 9 9 7 5 0 5 7 9 9 7 5 0 5 7 9 9 7 5 0 5 7 9 9 7 6 8 8 6 9 5 9 6 8 8 6 9 5 9 6 8 8 6 9 5 9 6 8 8 6 1 7 7 1 8 9 8 1 7 7 1 8 9 8 1 7 7 1 8 9 8 1 7 7 1 0 6 6 0 7 8 7 0 6 6 0 7 8 7 0 6 6 0 7 8 7 0 6 6 0 5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 5 7 9 9 7 5 6 7 6 5 7 9 9 7 5 6 7 6 5 7 9 9 7 5 6 2 6 8 8 6 2 1 6 1 2 6 8 8 6 2 1 6 1 2 6 8 8 6 2 1 4 1 7 7 1 4 0 1 0 4 1 7 7 1 4 0 1 0 4 1 7 7 1 4 0 9 0 6 6 0 9 5 0 5 9 0 6 6 0 9 5 0 5 9 0 6 6 0 9 5 8 5 1 1 5 8 2 5 2 8 5 1 1 5 8 2 5 2 8 5 1 1 5 8 2 7 2 0 0 2 7 4 2 9 9 9 9 9 2 7 4 2 4 7 2 0 0 2 7 4 6 4 5 5 4 6 9 4 9 9 9 9 9 4 6 9 4 9 6 4 5 5 4 6 9 1 9 2 2 9 1 8 9 9 9 9 9 9 9 1 8 9 8 1 9 2 2 9 1 8 0 8 4 4 8 0 7 8 9 9 9 9 9 8 0 7 8 7 0 8 4 4 8 0 7 5 7 9 9 9 9 9 7 6 5 7 9 9 7 5 6 7 6 5 7 9 9 7 5 6 2 6 8 8 9 9 9 6 1 2 6 9 9 6 2 1 6 1 2 6 8 8 6 2 1 4 1 7 9 9 9 9 9 0 4 1 9 9 1 4 0 1 0 4 1 7 7 1 4 0 9 0 6 9 9 9 9 9 5 9 0 9 9 0 9 5 0 5 9 0 6 6 0 9 5 8 5 1 9 9 9 9 9 2 8 5 1 1 5 8 2 5 2 8 5 1 1 5 8 2 7 2 0 9 9 9 9 9 4 7 2 0 0 2 7 4 2 4 7 2 0 0 2 7 4 6 4 5 5 4 6 9 4 9 6 4 5 5 4 6 9 4 9 6 4 5 5 4 6 9 1 9 2 2 9 1 8 9 8 1 9 2 2 9 1 8 9 8 1 9 2 2 9 1 8 0 8 4 4 8 0 7 8 7 0 8 4 4 8 0 7 8 7 0 8 4 4 8 0 7 5 7 9 9 7 5 6 7 6 5 7 9 9 7 5 6 7 6 5 7 9 9 7 5 6 2 6 8 8 6 2 1 6 1 2 6 8 8 6 2 1 6 1 2 6 8 8 6 2 1 4 1 7 7 1 4 0 1 0 4 1 7 7 1 4 0 1 0 4 1 7 7 1 4 0 9 0 6 6 0 9 5 0 5 9 0 6 6 0 9 5 0 5 9 0 6 6 0 9 5	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 7 9 9 7 5 6 7 6 5 7 9 9 7 5 6 7 6 5 7 9 9 7 5 6\n2 6 8 8 6 2 1 6 1 2 6 8 8 6 2 1 6 1 2 6 8 8 6 2 1\n4 1 7 7 1 4 0 1 0 4 1 7 7 1 4 0 1 0 4 1 7 7 1 4 0\n9 0 6 6 0 9 5 0 5 9 0 6 6 0 9 5 0 5 9 0 6 6 0 9 5\n8 5 1 1 5 8 2 5 2 8 5 1 1 5 8 2 5 2 8 5 1 1 5 8 2\n7 2 0 0 2 7 4 2 4 7 2 0 0 2 7 4 2 4 7 2 0 0 2 7 4\n6 4 5 5 4 6 9 4 9 6 4 5 5 4 6 9 4 9 6 4 5 5 4 6 9\n1 9 2 2 9 1 8 9 8 1 9 2 2 9 1 8 9 8 1 9 2 2 9 1 8\n0 8 4 4 8 0 7 8 7 0 8 4 4 8 0 7 8 7 0 8 4 4 8 0 7\n5 7 9 9 7 5 6 7 6 5 7 9 9 7 5 6 7 6 5 7 9 9 7 5 6\n2 6 8 8 6 2 1 6 1 2 6 8 8 6 2 1 6 1 2 6 8 8 6 2 1\n4 1 7 7 1 4 0 1 0 4 1 7 7 1 4 0 1 0 4 1 7 7 1 4 0\n9 0 6 6 0 9 5 0 5 9 0 6 6 0 9 5 0 5 9 0 6 6 0 9 5\n8 5 1 1 5 8 2 5 2 8 5 1 1 5 8 2 5 2 8 5 1 1 5 8 2\n7 2 0 0 2 7 4 2 4 7 2 0 0 2 7 4 2 4 7 2 0 0 2 7 4\n6 4 5 5 4 6 9 4 9 6 4 5 5 4 6 9 4 9 6 4 5 5 4 6 9\n1 9 2 2 9 1 8 9 8 1 9 2 2 9 1 8 9 8 1 9 2 2 9 1 8\n0 8 4 4 8 0 7 8 7 0 8 4 4 8 0 7 8 7 0 8 4 4 8 0 7\n5 7 9 9 7 5 6 7 6 5 7 9 9 7 5 6 7 6 5 7 9 9 7 5 6\n2 6 8 8 6 2 1 6 1 2 6 8 8 6 2 1 6 1 2 6 8 8 6 2 1\n4 1 7 7 1 4 0 1 0 4 1 7 7 1 4 0 1 0 4 1 7 7 1 4 0\n9 0 6 6 0 9 5 0 5 9 0 6 6 0 9 5 0 5 9 0 6 6 0 9 5", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5\n2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2\n9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9\n8 5 0 5 8 5 0 5 8 5 0 5 8 5 0 5 8 5 0 5 8 5 0 5 8\n7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 7\n6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6\n1 8 9 8 1 8 9 8 1 8 9 8 1 8 9 8 1 8 9 8 1 8 9 8 1\n0 7 8 7 0 7 8 7 0 7 8 7 0 7 8 7 0 7 8 7 0 7 8 7 0\n5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5\n2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2\n9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9\n8 5 0 5 8 5 0 5 8 5 0 9 9 9 9 5 8 5 0 5 8 5 0 5 8\n7 2 5 2 7 2 5 2 7 2 5 9 9 9 9 2 7 2 5 2 7 2 5 2 7\n6 9 2 9 9 9 9 9 6 9 2 9 9 9 9 9 6 9 2 9 6 9 2 9 6\n1 8 9 8 9 9 9 8 1 9 9 8 1 8 9 8 1 8 9 8 1 8 9 8 1\n0 7 8 7 9 9 9 7 0 9 9 7 0 7 8 7 0 7 8 7 0 7 8 7 0\n5 6 7 6 9 9 9 6 5 9 9 6 5 6 7 6 5 6 7 6 5 6 7 6 5\n2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 9 9 9 1 2\n9 0 1 0 9 0 1 0 9 0 1 0 9 0 9 9 9 0 1 0 9 9 9 0 9\n8 5 0 5 8 5 0 5 8 5 0 5 8 5 9 9 9 5 0 5 9 9 9 5 8\n7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 9 9 9 2 7\n6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6\nOutput:\n5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5\n2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2\n9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9\n8 5 0 5 8 5 0 5 8 5 0 5 8 5 0 5 8 5 0 5 8 5 0 5 8\n7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 7\n6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6\n1 8 9 8 1 8 9 8 1 8 9 8 1 8 9 8 1 8 9 8 1 8 9 8 1\n0 7 8 7 0 7 8 7 0 7 8 7 0 7 8 7 0 7 8 7 0 7 8 7 0\n5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5\n2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2\n9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9\n8 5 0 5 8 5 0 5 8 5 0 5 8 5 0 5 8 5 0 5 8 5 0 5 8\n7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 7\n6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6\n1 8 9 8 1 8 9 8 1 8 9 8 1 8 9 8 1 8 9 8 1 8 9 8 1\n0 7 8 7 0 7 8 7 0 7 8 7 0 7 8 7 0 7 8 7 0 7 8 7 0\n5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5 6 7 6 5\n2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2 1 6 1 2\n9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9 0 1 0 9\n8 5 0 5 8 5 0 5 8 5 0 5 8 5 0 5 8 5 0 5 8 5 0 5 8\n7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 7 2 5 2 7\n6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6 9 2 9 6\n\nExample 2:\n\nInput:\n9 0 9 9 9 9 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9\n8 9 9 9 9 9 9 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8\n7 8 9 9 9 9 9 8 7 0 1 0 7 9 9 9 9 9 7 8 7 0 1 0 7\n6 7 9 9 9 9 9 7 6 9 0 9 6 9 9 9 9 9 6 7 6 9 0 9 6\n1 6 1 8 9 8 1 6 1 8 9 8 1 9 9 9 9 9 1 6 1 8 9 8 1\n0 1 0 7 8 7 0 1 0 7 8 7 0 9 9 9 9 9 0 1 0 7 8 7 0\n9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9\n8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8\n7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7\n6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6\n1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1\n0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0\n9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9\n8 9 9 9 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8\n7 8 9 9 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 9 9 9 9 9 7\n6 7 9 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 9 9 9 9 9 6\n1 6 9 9 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 9 9 9 9 9 1\n0 1 9 9 9 7 0 1 0 7 8 7 0 1 0 7 8 7 0 9 9 9 9 9 0\n9 0 9 9 9 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9\n8 9 9 9 9 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8\n7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7\n6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6\nOutput:\n9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9\n8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8\n7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7\n6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6\n1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1\n0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0\n9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9\n8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8\n7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7\n6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6\n1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1\n0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0\n9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9\n8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8\n7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7\n6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6\n1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1\n0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0\n9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9\n8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8 9 8 1 6 1 8\n7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7 8 7 0 1 0 7\n6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6 7 6 9 0 9 6\n\nExample 3:\n\nInput:\n5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5\n9 0 0 9 1 6 1 9 0 0 9 1 6 1 9 0 0 9 1 6 1 9 0 0 9\n8 5 5 8 0 1 0 8 5 5 8 0 1 0 8 5 5 8 0 1 0 8 5 5 8\n7 9 9 7 5 0 5 7 9 9 7 5 0 5 7 9 9 7 5 0 5 7 9 9 7\n6 8 8 6 9 5 9 6 8 8 6 9 5 9 6 8 8 6 9 5 9 6 8 8 6\n1 7 7 1 8 9 8 1 7 7 1 8 9 8 1 7 7 1 8 9 9 9 9 7 1\n0 6 6 0 7 8 7 0 6 6 0 7 8 7 0 6 6 0 7 8 9 9 9 6 0\n5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5 6 7 9 9 9 1 5\n9 0 0 9 1 6 1 9 0 0 9 1 6 1 9 0 0 9 1 6 1 9 0 0 9\n8 5 5 8 9 9 9 9 9 5 8 0 1 0 8 5 5 8 0 1 0 8 5 5 8\n7 9 9 7 9 9 9 9 9 9 7 5 0 5 7 9 9 7 5 0 5 7 9 9 7\n6 8 8 6 9 9 9 9 9 8 6 9 5 9 6 8 8 6 9 5 9 6 8 8 6\n1 7 7 1 8 9 8 1 7 7 1 8 9 8 1 7 7 1 8 9 8 1 7 7 1\n0 6 6 9 9 9 7 0 6 6 0 7 8 7 0 6 6 0 7 8 7 0 6 6 0\n5 1 1 9 9 9 6 5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5\n9 0 0 9 1 6 1 9 0 0 9 1 6 1 9 0 0 9 1 6 1 9 0 0 9\n8 5 5 8 0 1 0 8 5 5 8 0 1 0 8 5 5 8 0 1 0 8 5 5 8\n7 9 9 9 9 9 9 7 9 9 7 5 0 5 7 9 9 9 9 9 9 9 9 9 7\n6 8 9 9 9 9 9 6 8 8 6 9 5 9 6 8 8 9 9 9 9 9 8 8 6\n1 7 9 9 9 9 9 1 7 7 1 8 9 8 1 7 7 9 9 9 9 9 7 7 1\n0 6 9 9 9 9 9 0 6 6 0 7 8 7 0 6 6 9 9 9 9 9 6 6 0\n5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5\nOutput:\n5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5\n9 0 0 9 1 6 1 9 0 0 9 1 6 1 9 0 0 9 1 6 1 9 0 0 9\n8 5 5 8 0 1 0 8 5 5 8 0 1 0 8 5 5 8 0 1 0 8 5 5 8\n7 9 9 7 5 0 5 7 9 9 7 5 0 5 7 9 9 7 5 0 5 7 9 9 7\n6 8 8 6 9 5 9 6 8 8 6 9 5 9 6 8 8 6 9 5 9 6 8 8 6\n1 7 7 1 8 9 8 1 7 7 1 8 9 8 1 7 7 1 8 9 8 1 7 7 1\n0 6 6 0 7 8 7 0 6 6 0 7 8 7 0 6 6 0 7 8 7 0 6 6 0\n5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5\n9 0 0 9 1 6 1 9 0 0 9 1 6 1 9 0 0 9 1 6 1 9 0 0 9\n8 5 5 8 0 1 0 8 5 5 8 0 1 0 8 5 5 8 0 1 0 8 5 5 8\n7 9 9 7 5 0 5 7 9 9 7 5 0 5 7 9 9 7 5 0 5 7 9 9 7\n6 8 8 6 9 5 9 6 8 8 6 9 5 9 6 8 8 6 9 5 9 6 8 8 6\n1 7 7 1 8 9 8 1 7 7 1 8 9 8 1 7 7 1 8 9 8 1 7 7 1\n0 6 6 0 7 8 7 0 6 6 0 7 8 7 0 6 6 0 7 8 7 0 6 6 0\n5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5\n9 0 0 9 1 6 1 9 0 0 9 1 6 1 9 0 0 9 1 6 1 9 0 0 9\n8 5 5 8 0 1 0 8 5 5 8 0 1 0 8 5 5 8 0 1 0 8 5 5 8\n7 9 9 7 5 0 5 7 9 9 7 5 0 5 7 9 9 7 5 0 5 7 9 9 7\n6 8 8 6 9 5 9 6 8 8 6 9 5 9 6 8 8 6 9 5 9 6 8 8 6\n1 7 7 1 8 9 8 1 7 7 1 8 9 8 1 7 7 1 8 9 8 1 7 7 1\n0 6 6 0 7 8 7 0 6 6 0 7 8 7 0 6 6 0 7 8 7 0 6 6 0\n5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5 6 7 6 5 1 1 5\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n5 7 9 9 7 5 6 7 6 5 7 9 9 7 5 6 7 6 5 7 9 9 7 5 6\n2 6 8 8 6 2 1 6 1 2 6 8 8 6 2 1 6 1 2 6 8 8 6 2 1\n4 1 7 7 1 4 0 1 0 4 1 7 7 1 4 0 1 0 4 1 7 7 1 4 0\n9 0 6 6 0 9 5 0 5 9 0 6 6 0 9 5 0 5 9 0 6 6 0 9 5\n8 5 1 1 5 8 2 5 2 8 5 1 1 5 8 2 5 2 8 5 1 1 5 8 2\n7 2 0 0 2 7 4 2 9 9 9 9 9 2 7 4 2 4 7 2 0 0 2 7 4\n6 4 5 5 4 6 9 4 9 9 9 9 9 4 6 9 4 9 6 4 5 5 4 6 9\n1 9 2 2 9 1 8 9 9 9 9 9 9 9 1 8 9 8 1 9 2 2 9 1 8\n0 8 4 4 8 0 7 8 9 9 9 9 9 8 0 7 8 7 0 8 4 4 8 0 7\n5 7 9 9 9 9 9 7 6 5 7 9 9 7 5 6 7 6 5 7 9 9 7 5 6\n2 6 8 8 9 9 9 6 1 2 6 9 9 6 2 1 6 1 2 6 8 8 6 2 1\n4 1 7 9 9 9 9 9 0 4 1 9 9 1 4 0 1 0 4 1 7 7 1 4 0\n9 0 6 9 9 9 9 9 5 9 0 9 9 0 9 5 0 5 9 0 6 6 0 9 5\n8 5 1 9 9 9 9 9 2 8 5 1 1 5 8 2 5 2 8 5 1 1 5 8 2\n7 2 0 9 9 9 9 9 4 7 2 0 0 2 7 4 2 4 7 2 0 0 2 7 4\n6 4 5 5 4 6 9 4 9 6 4 5 5 4 6 9 4 9 6 4 5 5 4 6 9\n1 9 2 2 9 1 8 9 8 1 9 2 2 9 1 8 9 8 1 9 2 2 9 1 8\n0 8 4 4 8 0 7 8 7 0 8 4 4 8 0 7 8 7 0 8 4 4 8 0 7\n5 7 9 9 7 5 6 7 6 5 7 9 9 7 5 6 7 6 5 7 9 9 7 5 6\n2 6 8 8 6 2 1 6 1 2 6 8 8 6 2 1 6 1 2 6 8 8 6 2 1\n4 1 7 7 1 4 0 1 0 4 1 7 7 1 4 0 1 0 4 1 7 7 1 4 0\n9 0 6 6 0 9 5 0 5 9 0 6 6 0 9 5 0 5 9 0 6 6 0 9 5\n", "answer": "5 7 9 9 7 5 6 7 6 5 7 9 9 7 5 6 7 6 5 7 9 9 7 5 6\n2 6 8 8 6 2 1 6 1 2 6 8 8 6 2 1 6 1 2 6 8 8 6 2 1\n4 1 7 7 1 4 0 1 0 4 1 7 7 1 4 0 1 0 4 1 7 7 1 4 0\n9 0 6 6 0 9 5 0 5 9 0 6 6 0 9 5 0 5 9 0 6 6 0 9 5\n8 5 1 1 5 8 2 5 2 8 5 1 1 5 8 2 5 2 8 5 1 1 5 8 2\n7 2 0 0 2 7 4 2 4 7 2 0 0 2 7 4 2 4 7 2 0 0 2 7 4\n6 4 5 5 4 6 9 4 9 6 4 5 5 4 6 9 4 9 6 4 5 5 4 6 9\n1 9 2 2 9 1 8 9 8 1 9 2 2 9 1 8 9 8 1 9 2 2 9 1 8\n0 8 4 4 8 0 7 8 7 0 8 4 4 8 0 7 8 7 0 8 4 4 8 0 7\n5 7 9 9 7 5 6 7 6 5 7 9 9 7 5 6 7 6 5 7 9 9 7 5 6\n2 6 8 8 6 2 1 6 1 2 6 8 8 6 2 1 6 1 2 6 8 8 6 2 1\n4 1 7 7 1 4 0 1 0 4 1 7 7 1 4 0 1 0 4 1 7 7 1 4 0\n9 0 6 6 0 9 5 0 5 9 0 6 6 0 9 5 0 5 9 0 6 6 0 9 5\n8 5 1 1 5 8 2 5 2 8 5 1 1 5 8 2 5 2 8 5 1 1 5 8 2\n7 2 0 0 2 7 4 2 4 7 2 0 0 2 7 4 2 4 7 2 0 0 2 7 4\n6 4 5 5 4 6 9 4 9 6 4 5 5 4 6 9 4 9 6 4 5 5 4 6 9\n1 9 2 2 9 1 8 9 8 1 9 2 2 9 1 8 9 8 1 9 2 2 9 1 8\n0 8 4 4 8 0 7 8 7 0 8 4 4 8 0 7 8 7 0 8 4 4 8 0 7\n5 7 9 9 7 5 6 7 6 5 7 9 9 7 5 6 7 6 5 7 9 9 7 5 6\n2 6 8 8 6 2 1 6 1 2 6 8 8 6 2 1 6 1 2 6 8 8 6 2 1\n4 1 7 7 1 4 0 1 0 4 1 7 7 1 4 0 1 0 4 1 7 7 1 4 0\n9 0 6 6 0 9 5 0 5 9 0 6 6 0 9 5 0 5 9 0 6 6 0 9 5", "metadata": {"source_dataset": "arc_agi", "source_index": 26, "input": [[5, 7, 9, 9, 7, 5, 6, 7, 6, 5, 7, 9, 9, 7, 5, 6, 7, 6, 5, 7, 9, 9, 7, 5, 6], [2, 6, 8, 8, 6, 2, 1, 6, 1, 2, 6, 8, 8, 6, 2, 1, 6, 1, 2, 6, 8, 8, 6, 2, 1], [4, 1, 7, 7, 1, 4, 0, 1, 0, 4, 1, 7, 7, 1, 4, 0, 1, 0, 4, 1, 7, 7, 1, 4, 0], [9, 0, 6, 6, 0, 9, 5, 0, 5, 9, 0, 6, 6, 0, 9, 5, 0, 5, 9, 0, 6, 6, 0, 9, 5], [8, 5, 1, 1, 5, 8, 2, 5, 2, 8, 5, 1, 1, 5, 8, 2, 5, 2, 8, 5, 1, 1, 5, 8, 2], [7, 2, 0, 0, 2, 7, 4, 2, 9, 9, 9, 9, 9, 2, 7, 4, 2, 4, 7, 2, 0, 0, 2, 7, 4], [6, 4, 5, 5, 4, 6, 9, 4, 9, 9, 9, 9, 9, 4, 6, 9, 4, 9, 6, 4, 5, 5, 4, 6, 9], [1, 9, 2, 2, 9, 1, 8, 9, 9, 9, 9, 9, 9, 9, 1, 8, 9, 8, 1, 9, 2, 2, 9, 1, 8], [0, 8, 4, 4, 8, 0, 7, 8, 9, 9, 9, 9, 9, 8, 0, 7, 8, 7, 0, 8, 4, 4, 8, 0, 7], [5, 7, 9, 9, 9, 9, 9, 7, 6, 5, 7, 9, 9, 7, 5, 6, 7, 6, 5, 7, 9, 9, 7, 5, 6], [2, 6, 8, 8, 9, 9, 9, 6, 1, 2, 6, 9, 9, 6, 2, 1, 6, 1, 2, 6, 8, 8, 6, 2, 1], [4, 1, 7, 9, 9, 9, 9, 9, 0, 4, 1, 9, 9, 1, 4, 0, 1, 0, 4, 1, 7, 7, 1, 4, 0], [9, 0, 6, 9, 9, 9, 9, 9, 5, 9, 0, 9, 9, 0, 9, 5, 0, 5, 9, 0, 6, 6, 0, 9, 5], [8, 5, 1, 9, 9, 9, 9, 9, 2, 8, 5, 1, 1, 5, 8, 2, 5, 2, 8, 5, 1, 1, 5, 8, 2], [7, 2, 0, 9, 9, 9, 9, 9, 4, 7, 2, 0, 0, 2, 7, 4, 2, 4, 7, 2, 0, 0, 2, 7, 4], [6, 4, 5, 5, 4, 6, 9, 4, 9, 6, 4, 5, 5, 4, 6, 9, 4, 9, 6, 4, 5, 5, 4, 6, 9], [1, 9, 2, 2, 9, 1, 8, 9, 8, 1, 9, 2, 2, 9, 1, 8, 9, 8, 1, 9, 2, 2, 9, 1, 8], [0, 8, 4, 4, 8, 0, 7, 8, 7, 0, 8, 4, 4, 8, 0, 7, 8, 7, 0, 8, 4, 4, 8, 0, 7], [5, 7, 9, 9, 7, 5, 6, 7, 6, 5, 7, 9, 9, 7, 5, 6, 7, 6, 5, 7, 9, 9, 7, 5, 6], [2, 6, 8, 8, 6, 2, 1, 6, 1, 2, 6, 8, 8, 6, 2, 1, 6, 1, 2, 6, 8, 8, 6, 2, 1], [4, 1, 7, 7, 1, 4, 0, 1, 0, 4, 1, 7, 7, 1, 4, 0, 1, 0, 4, 1, 7, 7, 1, 4, 0], [9, 0, 6, 6, 0, 9, 5, 0, 5, 9, 0, 6, 6, 0, 9, 5, 0, 5, 9, 0, 6, 6, 0, 9, 5]], "output": [[5, 7, 9, 9, 7, 5, 6, 7, 6, 5, 7, 9, 9, 7, 5, 6, 7, 6, 5, 7, 9, 9, 7, 5, 6], [2, 6, 8, 8, 6, 2, 1, 6, 1, 2, 6, 8, 8, 6, 2, 1, 6, 1, 2, 6, 8, 8, 6, 2, 1], [4, 1, 7, 7, 1, 4, 0, 1, 0, 4, 1, 7, 7, 1, 4, 0, 1, 0, 4, 1, 7, 7, 1, 4, 0], [9, 0, 6, 6, 0, 9, 5, 0, 5, 9, 0, 6, 6, 0, 9, 5, 0, 5, 9, 0, 6, 6, 0, 9, 5], [8, 5, 1, 1, 5, 8, 2, 5, 2, 8, 5, 1, 1, 5, 8, 2, 5, 2, 8, 5, 1, 1, 5, 8, 2], [7, 2, 0, 0, 2, 7, 4, 2, 4, 7, 2, 0, 0, 2, 7, 4, 2, 4, 7, 2, 0, 0, 2, 7, 4], [6, 4, 5, 5, 4, 6, 9, 4, 9, 6, 4, 5, 5, 4, 6, 9, 4, 9, 6, 4, 5, 5, 4, 6, 9], [1, 9, 2, 2, 9, 1, 8, 9, 8, 1, 9, 2, 2, 9, 1, 8, 9, 8, 1, 9, 2, 2, 9, 1, 8], [0, 8, 4, 4, 8, 0, 7, 8, 7, 0, 8, 4, 4, 8, 0, 7, 8, 7, 0, 8, 4, 4, 8, 0, 7], [5, 7, 9, 9, 7, 5, 6, 7, 6, 5, 7, 9, 9, 7, 5, 6, 7, 6, 5, 7, 9, 9, 7, 5, 6], [2, 6, 8, 8, 6, 2, 1, 6, 1, 2, 6, 8, 8, 6, 2, 1, 6, 1, 2, 6, 8, 8, 6, 2, 1], [4, 1, 7, 7, 1, 4, 0, 1, 0, 4, 1, 7, 7, 1, 4, 0, 1, 0, 4, 1, 7, 7, 1, 4, 0], [9, 0, 6, 6, 0, 9, 5, 0, 5, 9, 0, 6, 6, 0, 9, 5, 0, 5, 9, 0, 6, 6, 0, 9, 5], [8, 5, 1, 1, 5, 8, 2, 5, 2, 8, 5, 1, 1, 5, 8, 2, 5, 2, 8, 5, 1, 1, 5, 8, 2], [7, 2, 0, 0, 2, 7, 4, 2, 4, 7, 2, 0, 0, 2, 7, 4, 2, 4, 7, 2, 0, 0, 2, 7, 4], [6, 4, 5, 5, 4, 6, 9, 4, 9, 6, 4, 5, 5, 4, 6, 9, 4, 9, 6, 4, 5, 5, 4, 6, 9], [1, 9, 2, 2, 9, 1, 8, 9, 8, 1, 9, 2, 2, 9, 1, 8, 9, 8, 1, 9, 2, 2, 9, 1, 8], [0, 8, 4, 4, 8, 0, 7, 8, 7, 0, 8, 4, 4, 8, 0, 7, 8, 7, 0, 8, 4, 4, 8, 0, 7], [5, 7, 9, 9, 7, 5, 6, 7, 6, 5, 7, 9, 9, 7, 5, 6, 7, 6, 5, 7, 9, 9, 7, 5, 6], [2, 6, 8, 8, 6, 2, 1, 6, 1, 2, 6, 8, 8, 6, 2, 1, 6, 1, 2, 6, 8, 8, 6, 2, 1], [4, 1, 7, 7, 1, 4, 0, 1, 0, 4, 1, 7, 7, 1, 4, 0, 1, 0, 4, 1, 7, 7, 1, 4, 0], [9, 0, 6, 6, 0, 9, 5, 0, 5, 9, 0, 6, 6, 0, 9, 5, 0, 5, 9, 0, 6, 6, 0, 9, 5]], "task_id": "ea959feb", "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": 26, "input": [[5, 7, 9, 9, 7, 5, 6, 7, 6, 5, 7, 9, 9, 7, 5, 6, 7, 6, 5, 7, 9, 9, 7, 5, 6], [2, 6, 8, 8, 6, 2, 1, 6, 1, 2, 6, 8, 8, 6, 2, 1, 6, 1, 2, 6, 8, 8, 6, 2, 1], [4, 1, 7, 7, 1, 4, 0, 1, 0, 4, 1, 7, 7, 1, 4, 0, 1, 0, 4, 1, 7, 7, 1, 4, 0], [9, 0, 6, 6, 0, 9, 5, 0, 5, 9, 0, 6, 6, 0, 9, 5, 0, 5, 9, 0, 6, 6, 0, 9, 5], [8, 5, 1, 1, 5, 8, 2, 5, 2, 8, 5, 1, 1, 5, 8, 2, 5, 2, 8, 5, 1, 1, 5, 8, 2], [7, 2, 0, 0, 2, 7, 4, 2, 9, 9, 9, 9, 9, 2, 7, 4, 2, 4, 7, 2, 0, 0, 2, 7, 4], [6, 4, 5, 5, 4, 6, 9, 4, 9, 9, 9, 9, 9, 4, 6, 9, 4, 9, 6, 4, 5, 5, 4, 6, 9], [1, 9, 2, 2, 9, 1, 8, 9, 9, 9, 9, 9, 9, 9, 1, 8, 9, 8, 1, 9, 2, 2, 9, 1, 8], [0, 8, 4, 4, 8, 0, 7, 8, 9, 9, 9, 9, 9, 8, 0, 7, 8, 7, 0, 8, 4, 4, 8, 0, 7], [5, 7, 9, 9, 9, 9, 9, 7, 6, 5, 7, 9, 9, 7, 5, 6, 7, 6, 5, 7, 9, 9, 7, 5, 6], [2, 6, 8, 8, 9, 9, 9, 6, 1, 2, 6, 9, 9, 6, 2, 1, 6, 1, 2, 6, 8, 8, 6, 2, 1], [4, 1, 7, 9, 9, 9, 9, 9, 0, 4, 1, 9, 9, 1, 4, 0, 1, 0, 4, 1, 7, 7, 1, 4, 0], [9, 0, 6, 9, 9, 9, 9, 9, 5, 9, 0, 9, 9, 0, 9, 5, 0, 5, 9, 0, 6, 6, 0, 9, 5], [8, 5, 1, 9, 9, 9, 9, 9, 2, 8, 5, 1, 1, 5, 8, 2, 5, 2, 8, 5, 1, 1, 5, 8, 2], [7, 2, 0, 9, 9, 9, 9, 9, 4, 7, 2, 0, 0, 2, 7, 4, 2, 4, 7, 2, 0, 0, 2, 7, 4], [6, 4, 5, 5, 4, 6, 9, 4, 9, 6, 4, 5, 5, 4, 6, 9, 4, 9, 6, 4, 5, 5, 4, 6, 9], [1, 9, 2, 2, 9, 1, 8, 9, 8, 1, 9, 2, 2, 9, 1, 8, 9, 8, 1, 9, 2, 2, 9, 1, 8], [0, 8, 4, 4, 8, 0, 7, 8, 7, 0, 8, 4, 4, 8, 0, 7, 8, 7, 0, 8, 4, 4, 8, 0, 7], [5, 7, 9, 9, 7, 5, 6, 7, 6, 5, 7, 9, 9, 7, 5, 6, 7, 6, 5, 7, 9, 9, 7, 5, 6], [2, 6, 8, 8, 6, 2, 1, 6, 1, 2, 6, 8, 8, 6, 2, 1, 6, 1, 2, 6, 8, 8, 6, 2, 1], [4, 1, 7, 7, 1, 4, 0, 1, 0, 4, 1, 7, 7, 1, 4, 0, 1, 0, 4, 1, 7, 7, 1, 4, 0], [9, 0, 6, 6, 0, 9, 5, 0, 5, 9, 0, 6, 6, 0, 9, 5, 0, 5, 9, 0, 6, 6, 0, 9, 5]], "output": [[5, 7, 9, 9, 7, 5, 6, 7, 6, 5, 7, 9, 9, 7, 5, 6, 7, 6, 5, 7, 9, 9, 7, 5, 6], [2, 6, 8, 8, 6, 2, 1, 6, 1, 2, 6, 8, 8, 6, 2, 1, 6, 1, 2, 6, 8, 8, 6, 2, 1], [4, 1, 7, 7, 1, 4, 0, 1, 0, 4, 1, 7, 7, 1, 4, 0, 1, 0, 4, 1, 7, 7, 1, 4, 0], [9, 0, 6, 6, 0, 9, 5, 0, 5, 9, 0, 6, 6, 0, 9, 5, 0, 5, 9, 0, 6, 6, 0, 9, 5], [8, 5, 1, 1, 5, 8, 2, 5, 2, 8, 5, 1, 1, 5, 8, 2, 5, 2, 8, 5, 1, 1, 5, 8, 2], [7, 2, 0, 0, 2, 7, 4, 2, 4, 7, 2, 0, 0, 2, 7, 4, 2, 4, 7, 2, 0, 0, 2, 7, 4], [6, 4, 5, 5, 4, 6, 9, 4, 9, 6, 4, 5, 5, 4, 6, 9, 4, 9, 6, 4, 5, 5, 4, 6, 9], [1, 9, 2, 2, 9, 1, 8, 9, 8, 1, 9, 2, 2, 9, 1, 8, 9, 8, 1, 9, 2, 2, 9, 1, 8], [0, 8, 4, 4, 8, 0, 7, 8, 7, 0, 8, 4, 4, 8, 0, 7, 8, 7, 0, 8, 4, 4, 8, 0, 7], [5, 7, 9, 9, 7, 5, 6, 7, 6, 5, 7, 9, 9, 7, 5, 6, 7, 6, 5, 7, 9, 9, 7, 5, 6], [2, 6, 8, 8, 6, 2, 1, 6, 1, 2, 6, 8, 8, 6, 2, 1, 6, 1, 2, 6, 8, 8, 6, 2, 1], [4, 1, 7, 7, 1, 4, 0, 1, 0, 4, 1, 7, 7, 1, 4, 0, 1, 0, 4, 1, 7, 7, 1, 4, 0], [9, 0, 6, 6, 0, 9, 5, 0, 5, 9, 0, 6, 6, 0, 9, 5, 0, 5, 9, 0, 6, 6, 0, 9, 5], [8, 5, 1, 1, 5, 8, 2, 5, 2, 8, 5, 1, 1, 5, 8, 2, 5, 2, 8, 5, 1, 1, 5, 8, 2], [7, 2, 0, 0, 2, 7, 4, 2, 4, 7, 2, 0, 0, 2, 7, 4, 2, 4, 7, 2, 0, 0, 2, 7, 4], [6, 4, 5, 5, 4, 6, 9, 4, 9, 6, 4, 5, 5, 4, 6, 9, 4, 9, 6, 4, 5, 5, 4, 6, 9], [1, 9, 2, 2, 9, 1, 8, 9, 8, 1, 9, 2, 2, 9, 1, 8, 9, 8, 1, 9, 2, 2, 9, 1, 8], [0, 8, 4, 4, 8, 0, 7, 8, 7, 0, 8, 4, 4, 8, 0, 7, 8, 7, 0, 8, 4, 4, 8, 0, 7], [5, 7, 9, 9, 7, 5, 6, 7, 6, 5, 7, 9, 9, 7, 5, 6, 7, 6, 5, 7, 9, 9, 7, 5, 6], [2, 6, 8, 8, 6, 2, 1, 6, 1, 2, 6, 8, 8, 6, 2, 1, 6, 1, 2, 6, 8, 8, 6, 2, 1], [4, 1, 7, 7, 1, 4, 0, 1, 0, 4, 1, 7, 7, 1, 4, 0, 1, 0, 4, 1, 7, 7, 1, 4, 0], [9, 0, 6, 6, 0, 9, 5, 0, 5, 9, 0, 6, 6, 0, 9, 5, 0, 5, 9, 0, 6, 6, 0, 9, 5]], "task_id": "ea959feb", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 3 4 4 4 4 4 8 4 4 4 3 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 8 4 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4 4 8 4 4 4 8 8 8 8 8 8 8 8 8 8 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 8 4 4 4 Output: 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 8 4 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 8 4 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4 4 8 4 8 8 8 8 8 8 8 8 8 8 4 4 4 4 4 4 4 4 8 4 Example 2: Input: 3 4 4 4 4 4 9 4 4 4 3 4 4 4 4 4 9 4 4 4 3 4 4 4 4 4 9 4 4 4 9 9 9 9 9 9 9 9 9 9 4 4 4 4 4 4 9 4 4 4 4 4 4 4 4 4 9 4 4 4 4 4 4 4 4 4 9 4 4 4 4 4 4 4 4 4 9 4 4 4 4 4 4 4 4 4 9 4 4 4 4 4 4 4 4 4 9 4 4 4 Output: 4 4 4 4 4 4 4 4 4 9 4 4 4 4 4 4 4 4 4 9 4 4 4 4 4 4 4 4 4 9 4 4 4 4 4 4 4 4 4 9 4 4 4 4 4 4 4 4 4 9 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 9 4 4 4 4 4 4 4 4 4 9 4 4 4 4 4 4 4 4 4 9 Example 3: Input: 3 4 4 5 4 4 4 4 4 4 3 4 4 5 4 4 4 4 4 4 3 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 Output: 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 4 4 4 Example 4: Input: 3 4 4 4 4 6 4 4 4 4 4 4 4 4 4 6 4 4 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 6 4 4 4 4 4 4 4 4 4 6 4 4 4 4 4 4 4 4 4 6 4 4 4 4 4 4 4 4 4 6 4 4 4 4 4 4 4 4 4 6 4 4 4 4 4 4 4 4 4 6 4 4 4 4 4 4 4 4 4 6 4 4 4 4 Output: 4 4 4 4 4 4 6 4 4 4 4 4 4 4 4 4 6 4 4 4 4 4 4 4 4 4 6 4 4 4 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 6 4 4 4 4 4 4 4 4 4 6 4 4 4 4 4 4 4 4 4 6 4 4 4 4 4 4 4 4 4 6 4 4 4 4 4 4 4 4 4 6 4 4 4 4 4 4 4 4 4 6 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: 3 4 4 4 7 4 4 4 4 4 3 4 4 4 7 4 4 4 4 4 4 4 4 4 7 4 4 4 4 4 7 7 7 7 7 7 7 7 7 7 4 4 4 4 7 4 4 4 4 4 4 4 4 4 7 4 4 4 4 4 4 4 4 4 7 4 4 4 4 4 4 4 4 4 7 4 4 4 4 4 4 4 4 4 7 4 4 4 4 4 4 4 4 4 7 4 4 4 4 4	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "4 4 4 4 4 4 7 4 4 4\n4 4 4 4 4 4 7 4 4 4\n4 4 4 4 4 4 7 4 4 4\n4 4 4 4 4 4 7 4 4 4\n4 4 4 4 4 4 7 4 4 4\n7 7 7 7 7 7 7 7 7 7\n4 4 4 4 4 4 7 4 4 4\n4 4 4 4 4 4 7 4 4 4\n4 4 4 4 4 4 7 4 4 4\n4 4 4 4 4 4 7 4 4 4", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n3 4 4 4 4 4 8 4 4 4\n3 4 4 4 4 4 8 4 4 4\n4 4 4 4 4 4 8 4 4 4\n4 4 4 4 4 4 8 4 4 4\n4 4 4 4 4 4 8 4 4 4\n4 4 4 4 4 4 8 4 4 4\n8 8 8 8 8 8 8 8 8 8\n4 4 4 4 4 4 8 4 4 4\n4 4 4 4 4 4 8 4 4 4\n4 4 4 4 4 4 8 4 4 4\nOutput:\n4 4 4 4 4 4 4 4 8 4\n4 4 4 4 4 4 4 4 8 4\n4 4 4 4 4 4 4 4 8 4\n4 4 4 4 4 4 4 4 8 4\n4 4 4 4 4 4 4 4 8 4\n4 4 4 4 4 4 4 4 8 4\n4 4 4 4 4 4 4 4 8 4\n4 4 4 4 4 4 4 4 8 4\n8 8 8 8 8 8 8 8 8 8\n4 4 4 4 4 4 4 4 8 4\n\nExample 2:\n\nInput:\n3 4 4 4 4 4 9 4 4 4\n3 4 4 4 4 4 9 4 4 4\n3 4 4 4 4 4 9 4 4 4\n9 9 9 9 9 9 9 9 9 9\n4 4 4 4 4 4 9 4 4 4\n4 4 4 4 4 4 9 4 4 4\n4 4 4 4 4 4 9 4 4 4\n4 4 4 4 4 4 9 4 4 4\n4 4 4 4 4 4 9 4 4 4\n4 4 4 4 4 4 9 4 4 4\nOutput:\n4 4 4 4 4 4 4 4 4 9\n4 4 4 4 4 4 4 4 4 9\n4 4 4 4 4 4 4 4 4 9\n4 4 4 4 4 4 4 4 4 9\n4 4 4 4 4 4 4 4 4 9\n4 4 4 4 4 4 4 4 4 9\n9 9 9 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 9\n4 4 4 4 4 4 4 4 4 9\n4 4 4 4 4 4 4 4 4 9\n\nExample 3:\n\nInput:\n3 4 4 5 4 4 4 4 4 4\n3 4 4 5 4 4 4 4 4 4\n3 4 4 5 4 4 4 4 4 4\n4 4 4 5 4 4 4 4 4 4\n5 5 5 5 5 5 5 5 5 5\n4 4 4 5 4 4 4 4 4 4\n4 4 4 5 4 4 4 4 4 4\n4 4 4 5 4 4 4 4 4 4\n4 4 4 5 4 4 4 4 4 4\n4 4 4 5 4 4 4 4 4 4\nOutput:\n4 4 4 4 4 4 5 4 4 4\n4 4 4 4 4 4 5 4 4 4\n4 4 4 4 4 4 5 4 4 4\n4 4 4 4 4 4 5 4 4 4\n4 4 4 4 4 4 5 4 4 4\n4 4 4 4 4 4 5 4 4 4\n4 4 4 4 4 4 5 4 4 4\n5 5 5 5 5 5 5 5 5 5\n4 4 4 4 4 4 5 4 4 4\n4 4 4 4 4 4 5 4 4 4\n\nExample 4:\n\nInput:\n3 4 4 4 4 6 4 4 4 4\n4 4 4 4 4 6 4 4 4 4\n6 6 6 6 6 6 6 6 6 6\n4 4 4 4 4 6 4 4 4 4\n4 4 4 4 4 6 4 4 4 4\n4 4 4 4 4 6 4 4 4 4\n4 4 4 4 4 6 4 4 4 4\n4 4 4 4 4 6 4 4 4 4\n4 4 4 4 4 6 4 4 4 4\n4 4 4 4 4 6 4 4 4 4\nOutput:\n4 4 4 4 4 4 6 4 4 4\n4 4 4 4 4 4 6 4 4 4\n4 4 4 4 4 4 6 4 4 4\n6 6 6 6 6 6 6 6 6 6\n4 4 4 4 4 4 6 4 4 4\n4 4 4 4 4 4 6 4 4 4\n4 4 4 4 4 4 6 4 4 4\n4 4 4 4 4 4 6 4 4 4\n4 4 4 4 4 4 6 4 4 4\n4 4 4 4 4 4 6 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:\n3 4 4 4 7 4 4 4 4 4\n3 4 4 4 7 4 4 4 4 4\n4 4 4 4 7 4 4 4 4 4\n7 7 7 7 7 7 7 7 7 7\n4 4 4 4 7 4 4 4 4 4\n4 4 4 4 7 4 4 4 4 4\n4 4 4 4 7 4 4 4 4 4\n4 4 4 4 7 4 4 4 4 4\n4 4 4 4 7 4 4 4 4 4\n4 4 4 4 7 4 4 4 4 4\n", "answer": "4 4 4 4 4 4 7 4 4 4\n4 4 4 4 4 4 7 4 4 4\n4 4 4 4 4 4 7 4 4 4\n4 4 4 4 4 4 7 4 4 4\n4 4 4 4 4 4 7 4 4 4\n7 7 7 7 7 7 7 7 7 7\n4 4 4 4 4 4 7 4 4 4\n4 4 4 4 4 4 7 4 4 4\n4 4 4 4 4 4 7 4 4 4\n4 4 4 4 4 4 7 4 4 4", "metadata": {"source_dataset": "arc_agi", "source_index": 27, "input": [[3, 4, 4, 4, 7, 4, 4, 4, 4, 4], [3, 4, 4, 4, 7, 4, 4, 4, 4, 4], [4, 4, 4, 4, 7, 4, 4, 4, 4, 4], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [4, 4, 4, 4, 7, 4, 4, 4, 4, 4], [4, 4, 4, 4, 7, 4, 4, 4, 4, 4], [4, 4, 4, 4, 7, 4, 4, 4, 4, 4], [4, 4, 4, 4, 7, 4, 4, 4, 4, 4], [4, 4, 4, 4, 7, 4, 4, 4, 4, 4], [4, 4, 4, 4, 7, 4, 4, 4, 4, 4]], "output": [[4, 4, 4, 4, 4, 4, 7, 4, 4, 4], [4, 4, 4, 4, 4, 4, 7, 4, 4, 4], [4, 4, 4, 4, 4, 4, 7, 4, 4, 4], [4, 4, 4, 4, 4, 4, 7, 4, 4, 4], [4, 4, 4, 4, 4, 4, 7, 4, 4, 4], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [4, 4, 4, 4, 4, 4, 7, 4, 4, 4], [4, 4, 4, 4, 4, 4, 7, 4, 4, 4], [4, 4, 4, 4, 4, 4, 7, 4, 4, 4], [4, 4, 4, 4, 4, 4, 7, 4, 4, 4]], "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": 27, "input": [[3, 4, 4, 4, 7, 4, 4, 4, 4, 4], [3, 4, 4, 4, 7, 4, 4, 4, 4, 4], [4, 4, 4, 4, 7, 4, 4, 4, 4, 4], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [4, 4, 4, 4, 7, 4, 4, 4, 4, 4], [4, 4, 4, 4, 7, 4, 4, 4, 4, 4], [4, 4, 4, 4, 7, 4, 4, 4, 4, 4], [4, 4, 4, 4, 7, 4, 4, 4, 4, 4], [4, 4, 4, 4, 7, 4, 4, 4, 4, 4], [4, 4, 4, 4, 7, 4, 4, 4, 4, 4]], "output": [[4, 4, 4, 4, 4, 4, 7, 4, 4, 4], [4, 4, 4, 4, 4, 4, 7, 4, 4, 4], [4, 4, 4, 4, 4, 4, 7, 4, 4, 4], [4, 4, 4, 4, 4, 4, 7, 4, 4, 4], [4, 4, 4, 4, 4, 4, 7, 4, 4, 4], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [4, 4, 4, 4, 4, 4, 7, 4, 4, 4], [4, 4, 4, 4, 4, 4, 7, 4, 4, 4], [4, 4, 4, 4, 4, 4, 7, 4, 4, 4], [4, 4, 4, 4, 4, 4, 7, 4, 4, 4]], "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: 2 8 3 2 8 4 3 8 4 Output: 9 8 9 9 8 9 9 8 9 Example 2: Input: 5 3 5 5 3 5 5 5 5 Output: 5 9 5 5 9 5 5 5 5 Example 3: Input: 4 3 3 4 4 5 4 2 5 Output: 4 9 9 4 4 9 4 9 9 Example 4: Input: 5 5 5 5 4 3 5 3 3 Output: 5 5 5 5 9 9 5 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: 4 2 4 2 2 2 5 5 5	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "9 2 9\n2 2 2\n9 9 9", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n2 8 3\n2 8 4\n3 8 4\nOutput:\n9 8 9\n9 8 9\n9 8 9\n\nExample 2:\n\nInput:\n5 3 5\n5 3 5\n5 5 5\nOutput:\n5 9 5\n5 9 5\n5 5 5\n\nExample 3:\n\nInput:\n4 3 3\n4 4 5\n4 2 5\nOutput:\n4 9 9\n4 4 9\n4 9 9\n\nExample 4:\n\nInput:\n5 5 5\n5 4 3\n5 3 3\nOutput:\n5 5 5\n5 9 9\n5 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:\n4 2 4\n2 2 2\n5 5 5\n", "answer": "9 2 9\n2 2 2\n9 9 9", "metadata": {"source_dataset": "arc_agi", "source_index": 28, "input": [[4, 2, 4], [2, 2, 2], [5, 5, 5]], "output": [[9, 2, 9], [2, 2, 2], [9, 9, 9]], "task_id": "9565186b", "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": 28, "input": [[4, 2, 4], [2, 2, 2], [5, 5, 5]], "output": [[9, 2, 9], [2, 2, 2], [9, 9, 9]], "task_id": "9565186b", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 9 9 9 9 7 7 7 7 7 7 7 9 7 9 7 7 7 7 7 7 9 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Output: 7 7 7 9 9 9 9 9 7 9 7 9 9 9 7 7 Example 2: Input: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 7 7 0 0 0 7 7 7 7 7 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 7 7 0 0 7 7 7 7 7 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Output: 0 7 7 0 0 0 7 0 7 7 0 0 7 0 7 Example 3: Input: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 7 7 7 7 7 7 7 7 7 7 2 2 2 7 7 7 7 7 7 7 7 2 7 2 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Output: 2 2 7 7 7 7 2 2 2 7 7 2 7 2 2 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 6 7 7 6 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 7 7 6\n7 7 7 6\n6 7 7 6\n6 6 6 6\n6 7 7 7\n6 6 7 7", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 9 7 7\n7 7 7 7 9 9 9 9 7 7\n7 7 7 7 7 9 7 9 7 7\n7 7 7 7 9 9 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\nOutput:\n7 7 7 9\n9 9 9 9\n7 9 7 9\n9 9 7 7\n\nExample 2:\n\nInput:\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 0 7 7 7 7 7\n7 7 7 7 7 7 0 0 0 7 7 7\n7 7 7 7 7 7 7 0 7 7 7 7\n7 7 7 7 7 7 7 0 0 7 7 7\n7 7 7 7 7 7 7 0 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\nOutput:\n0 7 7\n0 0 0\n7 0 7\n7 0 0\n7 0 7\n\nExample 3:\n\nInput:\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 2 2 7 7 7 7\n7 7 7 7 7 7 2 2 2 7 7\n7 7 7 7 7 7 2 7 2 2 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\nOutput:\n2 2 7 7 7\n7 2 2 2 7\n7 2 7 2 2\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 6 7 7 7 7\n7 7 7 7 7 7 7 6 7 7 7 7\n7 7 7 7 6 7 7 6 7 7 7 7\n7 7 7 7 6 6 6 6 7 7 7 7\n7 7 7 7 6 7 7 7 7 7 7 7\n7 7 7 7 6 6 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n", "answer": "7 7 7 6\n7 7 7 6\n6 7 7 6\n6 6 6 6\n6 7 7 7\n6 6 7 7", "metadata": {"source_dataset": "arc_agi", "source_index": 29, "input": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7], [7, 7, 7, 7, 6, 7, 7, 6, 7, 7, 7, 7], [7, 7, 7, 7, 6, 6, 6, 6, 7, 7, 7, 7], [7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "output": [[7, 7, 7, 6], [7, 7, 7, 6], [6, 7, 7, 6], [6, 6, 6, 6], [6, 7, 7, 7], [6, 6, 7, 7]], "task_id": "1cf80156", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}	{"source_dataset": "arc_agi", "source_index": 29, "input": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7], [7, 7, 7, 7, 6, 7, 7, 6, 7, 7, 7, 7], [7, 7, 7, 7, 6, 6, 6, 6, 7, 7, 7, 7], [7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "output": [[7, 7, 7, 6], [7, 7, 7, 6], [6, 7, 7, 6], [6, 6, 6, 6], [6, 7, 7, 7], [6, 6, 7, 7]], "task_id": "1cf80156", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 4 4 4 4 4 5 5 4 8 4 2 2 4 8 4 1 1 4 8 4 7 7 4 4 5 5 4 8 4 2 2 4 8 4 1 1 4 8 4 7 7 4 4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 4 0 4 4 4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 4 0 0 4 4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 4 4 0 0 4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 4 0 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 4 4 4 4 4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 4 4 4 4 4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 4 4 4 4 4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 4 4 4 4 4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 4 4 4 4 4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 4 4 4 4 4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 4 4 4 4 Output: 4 5 4 4 8 4 2 4 4 8 4 1 4 4 8 4 7 4 4 4 5 5 4 8 4 2 2 4 8 4 1 1 4 8 4 7 7 4 4 4 5 5 8 4 4 2 2 8 4 4 1 1 8 4 4 7 7 4 5 4 4 8 4 2 4 4 8 4 1 4 4 8 4 7 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 5 4 4 8 4 2 4 4 8 4 1 4 4 8 4 7 4 4 4 5 5 4 8 4 2 2 4 8 4 1 1 4 8 4 7 7 4 4 4 5 5 8 4 4 2 2 8 4 4 1 1 8 4 4 7 7 4 5 4 4 8 4 2 4 4 8 4 1 4 4 8 4 7 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 5 4 4 8 4 2 4 4 8 4 1 4 4 8 4 7 4 4 4 5 5 4 8 4 2 2 4 8 4 1 1 4 8 4 7 7 4 4 4 5 5 8 4 4 2 2 8 4 4 1 1 8 4 4 7 7 4 5 4 4 8 4 2 4 4 8 4 1 4 4 8 4 7 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 5 4 4 8 4 2 4 4 8 4 1 4 4 8 4 7 4 4 4 5 5 4 8 4 2 2 4 8 4 1 1 4 8 4 7 7 4 4 4 5 5 8 4 4 2 2 8 4 4 1 1 8 4 4 7 7 4 5 4 4 8 4 2 4 4 8 4 1 4 4 8 4 7 4 4 Example 2: Input: 4 4 4 4 1 4 4 4 4 1 4 4 4 4 4 2 2 4 1 4 8 8 4 1 4 7 7 4 4 2 2 4 1 4 8 8 4 1 4 7 7 4 4 4 4 4 1 4 4 4 4 1 4 4 4 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 4 3 4 1 4 4 4 4 1 4 4 4 4 3 4 3 3 1 4 4 4 4 1 4 4 4 4 3 3 3 4 1 4 4 4 4 1 4 4 4 4 4 4 3 4 1 4 4 4 4 1 4 4 4 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 4 4 4 1 4 4 4 4 1 4 4 4 4 4 4 4 4 1 4 4 4 4 1 4 4 4 4 4 4 4 4 1 4 4 4 4 1 4 4 4 4 4 4 4 4 1 4 4 4 4 1 4 4 4 4 Output: 4 4 2 4 1 4 4 8 4 1 4 4 7 4 2 4 2 2 1 8 4 8 8 1 7 4 7 7 2 2 2 4 1 8 8 8 4 1 7 7 7 4 4 4 2 4 1 4 4 8 4 1 4 4 7 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 4 2 4 1 4 4 8 4 1 4 4 7 4 2 4 2 2 1 8 4 8 8 1 7 4 7 7 2 2 2 4 1 8 8 8 4 1 7 7 7 4 4 4 2 4 1 4 4 8 4 1 4 4 7 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 4 2 4 1 4 4 8 4 1 4 4 7 4 2 4 2 2 1 8 4 8 8 1 7 4 7 7 2 2 2 4 1 8 8 8 4 1 7 7 7 4 4 4 2 4 1 4 4 8 4 1 4 4 7 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 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 2 2 4 3 4 8 8 4 3 4 5 5 4 3 4 0 0 4 3 4 9 9 4 4 2 2 4 3 4 8 8 4 3 4 5 5 4 3 4 0 0 4 3 4 9 9 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 7 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 3 4 7 7 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 3 7 7 7 7 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 3 4 7 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "4 2 4 4 3 4 8 4 4 3 4 5 4 4 3 4 0 4 4 3 4 9 4 4\n4 2 2 4 3 4 8 8 4 3 4 5 5 4 3 4 0 0 4 3 4 9 9 4\n2 2 2 2 3 8 8 8 8 3 5 5 5 5 3 0 0 0 0 3 9 9 9 9\n4 2 4 4 3 4 8 4 4 3 4 5 4 4 3 4 0 4 4 3 4 9 4 4\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n4 2 4 4 3 4 8 4 4 3 4 5 4 4 3 4 0 4 4 3 4 9 4 4\n4 2 2 4 3 4 8 8 4 3 4 5 5 4 3 4 0 0 4 3 4 9 9 4\n2 2 2 2 3 8 8 8 8 3 5 5 5 5 3 0 0 0 0 3 9 9 9 9\n4 2 4 4 3 4 8 4 4 3 4 5 4 4 3 4 0 4 4 3 4 9 4 4\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n4 2 4 4 3 4 8 4 4 3 4 5 4 4 3 4 0 4 4 3 4 9 4 4\n4 2 2 4 3 4 8 8 4 3 4 5 5 4 3 4 0 0 4 3 4 9 9 4\n2 2 2 2 3 8 8 8 8 3 5 5 5 5 3 0 0 0 0 3 9 9 9 9\n4 2 4 4 3 4 8 4 4 3 4 5 4 4 3 4 0 4 4 3 4 9 4 4\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n4 2 4 4 3 4 8 4 4 3 4 5 4 4 3 4 0 4 4 3 4 9 4 4\n4 2 2 4 3 4 8 8 4 3 4 5 5 4 3 4 0 0 4 3 4 9 9 4\n2 2 2 2 3 8 8 8 8 3 5 5 5 5 3 0 0 0 0 3 9 9 9 9\n4 2 4 4 3 4 8 4 4 3 4 5 4 4 3 4 0 4 4 3 4 9 4 4\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n4 2 4 4 3 4 8 4 4 3 4 5 4 4 3 4 0 4 4 3 4 9 4 4\n4 2 2 4 3 4 8 8 4 3 4 5 5 4 3 4 0 0 4 3 4 9 9 4\n2 2 2 2 3 8 8 8 8 3 5 5 5 5 3 0 0 0 0 3 9 9 9 9\n4 2 4 4 3 4 8 4 4 3 4 5 4 4 3 4 0 4 4 3 4 9 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 8 4 4 4 4 8 4 4 4 4 8 4 4 4 4\n4 5 5 4 8 4 2 2 4 8 4 1 1 4 8 4 7 7 4\n4 5 5 4 8 4 2 2 4 8 4 1 1 4 8 4 7 7 4\n4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 4 4 4 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 4 0 4 4\n4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 4 0 0 4\n4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 4 4 0 0\n4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 4 0 4 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 4 4 4 4\n4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 4 4 4 4\n4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 4 4 4 4\n4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 4 4 4 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 4 4 4 4\n4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 4 4 4 4\n4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 4 4 4 4\n4 4 4 4 8 4 4 4 4 8 4 4 4 4 8 4 4 4 4\nOutput:\n4 5 4 4 8 4 2 4 4 8 4 1 4 4 8 4 7 4 4\n4 5 5 4 8 4 2 2 4 8 4 1 1 4 8 4 7 7 4\n4 4 5 5 8 4 4 2 2 8 4 4 1 1 8 4 4 7 7\n4 5 4 4 8 4 2 4 4 8 4 1 4 4 8 4 7 4 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n4 5 4 4 8 4 2 4 4 8 4 1 4 4 8 4 7 4 4\n4 5 5 4 8 4 2 2 4 8 4 1 1 4 8 4 7 7 4\n4 4 5 5 8 4 4 2 2 8 4 4 1 1 8 4 4 7 7\n4 5 4 4 8 4 2 4 4 8 4 1 4 4 8 4 7 4 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n4 5 4 4 8 4 2 4 4 8 4 1 4 4 8 4 7 4 4\n4 5 5 4 8 4 2 2 4 8 4 1 1 4 8 4 7 7 4\n4 4 5 5 8 4 4 2 2 8 4 4 1 1 8 4 4 7 7\n4 5 4 4 8 4 2 4 4 8 4 1 4 4 8 4 7 4 4\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n4 5 4 4 8 4 2 4 4 8 4 1 4 4 8 4 7 4 4\n4 5 5 4 8 4 2 2 4 8 4 1 1 4 8 4 7 7 4\n4 4 5 5 8 4 4 2 2 8 4 4 1 1 8 4 4 7 7\n4 5 4 4 8 4 2 4 4 8 4 1 4 4 8 4 7 4 4\n\nExample 2:\n\nInput:\n4 4 4 4 1 4 4 4 4 1 4 4 4 4\n4 2 2 4 1 4 8 8 4 1 4 7 7 4\n4 2 2 4 1 4 8 8 4 1 4 7 7 4\n4 4 4 4 1 4 4 4 4 1 4 4 4 4\n1 1 1 1 1 1 1 1 1 1 1 1 1 1\n4 4 3 4 1 4 4 4 4 1 4 4 4 4\n3 4 3 3 1 4 4 4 4 1 4 4 4 4\n3 3 3 4 1 4 4 4 4 1 4 4 4 4\n4 4 3 4 1 4 4 4 4 1 4 4 4 4\n1 1 1 1 1 1 1 1 1 1 1 1 1 1\n4 4 4 4 1 4 4 4 4 1 4 4 4 4\n4 4 4 4 1 4 4 4 4 1 4 4 4 4\n4 4 4 4 1 4 4 4 4 1 4 4 4 4\n4 4 4 4 1 4 4 4 4 1 4 4 4 4\nOutput:\n4 4 2 4 1 4 4 8 4 1 4 4 7 4\n2 4 2 2 1 8 4 8 8 1 7 4 7 7\n2 2 2 4 1 8 8 8 4 1 7 7 7 4\n4 4 2 4 1 4 4 8 4 1 4 4 7 4\n1 1 1 1 1 1 1 1 1 1 1 1 1 1\n4 4 2 4 1 4 4 8 4 1 4 4 7 4\n2 4 2 2 1 8 4 8 8 1 7 4 7 7\n2 2 2 4 1 8 8 8 4 1 7 7 7 4\n4 4 2 4 1 4 4 8 4 1 4 4 7 4\n1 1 1 1 1 1 1 1 1 1 1 1 1 1\n4 4 2 4 1 4 4 8 4 1 4 4 7 4\n2 4 2 2 1 8 4 8 8 1 7 4 7 7\n2 2 2 4 1 8 8 8 4 1 7 7 7 4\n4 4 2 4 1 4 4 8 4 1 4 4 7 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 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4\n4 2 2 4 3 4 8 8 4 3 4 5 5 4 3 4 0 0 4 3 4 9 9 4\n4 2 2 4 3 4 8 8 4 3 4 5 5 4 3 4 0 0 4 3 4 9 9 4\n4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4\n4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4\n4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4\n4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n4 4 4 4 3 4 7 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4\n4 4 4 4 3 4 7 7 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4\n4 4 4 4 3 7 7 7 7 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4\n4 4 4 4 3 4 7 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4\n4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4\n4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4\n4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4\n4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4\n4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4\n4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4 3 4 4 4 4\n", "answer": "4 2 4 4 3 4 8 4 4 3 4 5 4 4 3 4 0 4 4 3 4 9 4 4\n4 2 2 4 3 4 8 8 4 3 4 5 5 4 3 4 0 0 4 3 4 9 9 4\n2 2 2 2 3 8 8 8 8 3 5 5 5 5 3 0 0 0 0 3 9 9 9 9\n4 2 4 4 3 4 8 4 4 3 4 5 4 4 3 4 0 4 4 3 4 9 4 4\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n4 2 4 4 3 4 8 4 4 3 4 5 4 4 3 4 0 4 4 3 4 9 4 4\n4 2 2 4 3 4 8 8 4 3 4 5 5 4 3 4 0 0 4 3 4 9 9 4\n2 2 2 2 3 8 8 8 8 3 5 5 5 5 3 0 0 0 0 3 9 9 9 9\n4 2 4 4 3 4 8 4 4 3 4 5 4 4 3 4 0 4 4 3 4 9 4 4\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n4 2 4 4 3 4 8 4 4 3 4 5 4 4 3 4 0 4 4 3 4 9 4 4\n4 2 2 4 3 4 8 8 4 3 4 5 5 4 3 4 0 0 4 3 4 9 9 4\n2 2 2 2 3 8 8 8 8 3 5 5 5 5 3 0 0 0 0 3 9 9 9 9\n4 2 4 4 3 4 8 4 4 3 4 5 4 4 3 4 0 4 4 3 4 9 4 4\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n4 2 4 4 3 4 8 4 4 3 4 5 4 4 3 4 0 4 4 3 4 9 4 4\n4 2 2 4 3 4 8 8 4 3 4 5 5 4 3 4 0 0 4 3 4 9 9 4\n2 2 2 2 3 8 8 8 8 3 5 5 5 5 3 0 0 0 0 3 9 9 9 9\n4 2 4 4 3 4 8 4 4 3 4 5 4 4 3 4 0 4 4 3 4 9 4 4\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n4 2 4 4 3 4 8 4 4 3 4 5 4 4 3 4 0 4 4 3 4 9 4 4\n4 2 2 4 3 4 8 8 4 3 4 5 5 4 3 4 0 0 4 3 4 9 9 4\n2 2 2 2 3 8 8 8 8 3 5 5 5 5 3 0 0 0 0 3 9 9 9 9\n4 2 4 4 3 4 8 4 4 3 4 5 4 4 3 4 0 4 4 3 4 9 4 4", "metadata": {"source_dataset": "arc_agi", "source_index": 30, "input": [[4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [4, 2, 2, 4, 3, 4, 8, 8, 4, 3, 4, 5, 5, 4, 3, 4, 0, 0, 4, 3, 4, 9, 9, 4], [4, 2, 2, 4, 3, 4, 8, 8, 4, 3, 4, 5, 5, 4, 3, 4, 0, 0, 4, 3, 4, 9, 9, 4], [4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 3, 4, 7, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [4, 4, 4, 4, 3, 4, 7, 7, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [4, 4, 4, 4, 3, 7, 7, 7, 7, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [4, 4, 4, 4, 3, 4, 7, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4]], "output": [[4, 2, 4, 4, 3, 4, 8, 4, 4, 3, 4, 5, 4, 4, 3, 4, 0, 4, 4, 3, 4, 9, 4, 4], [4, 2, 2, 4, 3, 4, 8, 8, 4, 3, 4, 5, 5, 4, 3, 4, 0, 0, 4, 3, 4, 9, 9, 4], [2, 2, 2, 2, 3, 8, 8, 8, 8, 3, 5, 5, 5, 5, 3, 0, 0, 0, 0, 3, 9, 9, 9, 9], [4, 2, 4, 4, 3, 4, 8, 4, 4, 3, 4, 5, 4, 4, 3, 4, 0, 4, 4, 3, 4, 9, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 2, 4, 4, 3, 4, 8, 4, 4, 3, 4, 5, 4, 4, 3, 4, 0, 4, 4, 3, 4, 9, 4, 4], [4, 2, 2, 4, 3, 4, 8, 8, 4, 3, 4, 5, 5, 4, 3, 4, 0, 0, 4, 3, 4, 9, 9, 4], [2, 2, 2, 2, 3, 8, 8, 8, 8, 3, 5, 5, 5, 5, 3, 0, 0, 0, 0, 3, 9, 9, 9, 9], [4, 2, 4, 4, 3, 4, 8, 4, 4, 3, 4, 5, 4, 4, 3, 4, 0, 4, 4, 3, 4, 9, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 2, 4, 4, 3, 4, 8, 4, 4, 3, 4, 5, 4, 4, 3, 4, 0, 4, 4, 3, 4, 9, 4, 4], [4, 2, 2, 4, 3, 4, 8, 8, 4, 3, 4, 5, 5, 4, 3, 4, 0, 0, 4, 3, 4, 9, 9, 4], [2, 2, 2, 2, 3, 8, 8, 8, 8, 3, 5, 5, 5, 5, 3, 0, 0, 0, 0, 3, 9, 9, 9, 9], [4, 2, 4, 4, 3, 4, 8, 4, 4, 3, 4, 5, 4, 4, 3, 4, 0, 4, 4, 3, 4, 9, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 2, 4, 4, 3, 4, 8, 4, 4, 3, 4, 5, 4, 4, 3, 4, 0, 4, 4, 3, 4, 9, 4, 4], [4, 2, 2, 4, 3, 4, 8, 8, 4, 3, 4, 5, 5, 4, 3, 4, 0, 0, 4, 3, 4, 9, 9, 4], [2, 2, 2, 2, 3, 8, 8, 8, 8, 3, 5, 5, 5, 5, 3, 0, 0, 0, 0, 3, 9, 9, 9, 9], [4, 2, 4, 4, 3, 4, 8, 4, 4, 3, 4, 5, 4, 4, 3, 4, 0, 4, 4, 3, 4, 9, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 2, 4, 4, 3, 4, 8, 4, 4, 3, 4, 5, 4, 4, 3, 4, 0, 4, 4, 3, 4, 9, 4, 4], [4, 2, 2, 4, 3, 4, 8, 8, 4, 3, 4, 5, 5, 4, 3, 4, 0, 0, 4, 3, 4, 9, 9, 4], [2, 2, 2, 2, 3, 8, 8, 8, 8, 3, 5, 5, 5, 5, 3, 0, 0, 0, 0, 3, 9, 9, 9, 9], [4, 2, 4, 4, 3, 4, 8, 4, 4, 3, 4, 5, 4, 4, 3, 4, 0, 4, 4, 3, 4, 9, 4, 4]], "task_id": "5a5a2103", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}	{"source_dataset": "arc_agi", "source_index": 30, "input": [[4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [4, 2, 2, 4, 3, 4, 8, 8, 4, 3, 4, 5, 5, 4, 3, 4, 0, 0, 4, 3, 4, 9, 9, 4], [4, 2, 2, 4, 3, 4, 8, 8, 4, 3, 4, 5, 5, 4, 3, 4, 0, 0, 4, 3, 4, 9, 9, 4], [4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 3, 4, 7, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [4, 4, 4, 4, 3, 4, 7, 7, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [4, 4, 4, 4, 3, 7, 7, 7, 7, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [4, 4, 4, 4, 3, 4, 7, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4], [4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4]], "output": [[4, 2, 4, 4, 3, 4, 8, 4, 4, 3, 4, 5, 4, 4, 3, 4, 0, 4, 4, 3, 4, 9, 4, 4], [4, 2, 2, 4, 3, 4, 8, 8, 4, 3, 4, 5, 5, 4, 3, 4, 0, 0, 4, 3, 4, 9, 9, 4], [2, 2, 2, 2, 3, 8, 8, 8, 8, 3, 5, 5, 5, 5, 3, 0, 0, 0, 0, 3, 9, 9, 9, 9], [4, 2, 4, 4, 3, 4, 8, 4, 4, 3, 4, 5, 4, 4, 3, 4, 0, 4, 4, 3, 4, 9, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 2, 4, 4, 3, 4, 8, 4, 4, 3, 4, 5, 4, 4, 3, 4, 0, 4, 4, 3, 4, 9, 4, 4], [4, 2, 2, 4, 3, 4, 8, 8, 4, 3, 4, 5, 5, 4, 3, 4, 0, 0, 4, 3, 4, 9, 9, 4], [2, 2, 2, 2, 3, 8, 8, 8, 8, 3, 5, 5, 5, 5, 3, 0, 0, 0, 0, 3, 9, 9, 9, 9], [4, 2, 4, 4, 3, 4, 8, 4, 4, 3, 4, 5, 4, 4, 3, 4, 0, 4, 4, 3, 4, 9, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 2, 4, 4, 3, 4, 8, 4, 4, 3, 4, 5, 4, 4, 3, 4, 0, 4, 4, 3, 4, 9, 4, 4], [4, 2, 2, 4, 3, 4, 8, 8, 4, 3, 4, 5, 5, 4, 3, 4, 0, 0, 4, 3, 4, 9, 9, 4], [2, 2, 2, 2, 3, 8, 8, 8, 8, 3, 5, 5, 5, 5, 3, 0, 0, 0, 0, 3, 9, 9, 9, 9], [4, 2, 4, 4, 3, 4, 8, 4, 4, 3, 4, 5, 4, 4, 3, 4, 0, 4, 4, 3, 4, 9, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 2, 4, 4, 3, 4, 8, 4, 4, 3, 4, 5, 4, 4, 3, 4, 0, 4, 4, 3, 4, 9, 4, 4], [4, 2, 2, 4, 3, 4, 8, 8, 4, 3, 4, 5, 5, 4, 3, 4, 0, 0, 4, 3, 4, 9, 9, 4], [2, 2, 2, 2, 3, 8, 8, 8, 8, 3, 5, 5, 5, 5, 3, 0, 0, 0, 0, 3, 9, 9, 9, 9], [4, 2, 4, 4, 3, 4, 8, 4, 4, 3, 4, 5, 4, 4, 3, 4, 0, 4, 4, 3, 4, 9, 4, 4], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 2, 4, 4, 3, 4, 8, 4, 4, 3, 4, 5, 4, 4, 3, 4, 0, 4, 4, 3, 4, 9, 4, 4], [4, 2, 2, 4, 3, 4, 8, 8, 4, 3, 4, 5, 5, 4, 3, 4, 0, 0, 4, 3, 4, 9, 9, 4], [2, 2, 2, 2, 3, 8, 8, 8, 8, 3, 5, 5, 5, 5, 3, 0, 0, 0, 0, 3, 9, 9, 9, 9], [4, 2, 4, 4, 3, 4, 8, 4, 4, 3, 4, 5, 4, 4, 3, 4, 0, 4, 4, 3, 4, 9, 4, 4]], "task_id": "5a5a2103", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 4 4 4 4 4 7 7 7 7 7 7 7 7 4 7 3 5 7 4 7 7 7 7 7 7 7 7 4 7 8 9 7 4 7 7 7 7 7 7 7 7 4 7 7 7 7 4 7 7 7 7 7 7 7 7 4 7 7 7 7 4 7 7 7 7 7 7 7 7 4 4 4 4 4 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Output: 4 4 4 4 4 4 4 3 3 5 5 4 4 3 3 5 5 4 4 8 8 9 9 4 4 8 8 9 9 4 4 4 4 4 4 4 Example 2: Input: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 4 4 4 4 4 4 4 4 4 7 7 7 7 4 7 7 7 7 7 7 7 7 4 7 7 7 7 4 7 7 7 0 0 5 5 7 4 7 7 7 7 4 7 7 7 0 0 5 5 7 4 7 7 7 7 4 7 7 7 8 8 6 6 7 4 7 7 7 7 4 7 7 7 8 8 6 6 7 4 7 7 7 7 4 7 7 7 7 7 7 7 7 4 7 7 7 7 4 7 7 7 7 7 7 7 7 4 7 7 7 7 4 7 7 7 7 7 7 7 7 4 7 7 7 7 4 4 4 4 4 4 4 4 4 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Output: 4 4 4 4 4 4 4 4 4 4 4 0 0 0 0 5 5 5 5 4 4 0 0 0 0 5 5 5 5 4 4 0 0 0 0 5 5 5 5 4 4 0 0 0 0 5 5 5 5 4 4 8 8 8 8 6 6 6 6 4 4 8 8 8 8 6 6 6 6 4 4 8 8 8 8 6 6 6 6 4 4 8 8 8 8 6 6 6 6 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: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 4 4 4 4 4 4 4 4 4 7 7 7 7 4 7 7 7 9 9 5 5 7 4 7 7 7 7 4 7 7 7 9 9 5 5 7 4 7 7 7 7 4 7 7 7 6 6 0 0 7 4 7 7 7 7 4 7 7 7 6 6 0 0 7 4 7 7 7 7 4 7 7 7 7 7 7 7 7 4 7 7 7 7 4 7 7 7 7 7 7 7 7 4 7 7 7 7 4 7 7 7 7 7 7 7 7 4 7 7 7 7 4 7 7 7 7 7 7 7 7 4 7 7 7 7 4 4 4 4 4 4 4 4 4 4 7	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "4 4 4 4 4 4 4 4 4 4\n4 9 9 9 9 5 5 5 5 4\n4 9 9 9 9 5 5 5 5 4\n4 9 9 9 9 5 5 5 5 4\n4 9 9 9 9 5 5 5 5 4\n4 6 6 6 6 0 0 0 0 4\n4 6 6 6 6 0 0 0 0 4\n4 6 6 6 6 0 0 0 0 4\n4 6 6 6 6 0 0 0 0 4\n4 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:\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 4 4 4 4 4 4 7 7 7 7\n7 7 7 7 4 7 3 5 7 4 7 7 7 7\n7 7 7 7 4 7 8 9 7 4 7 7 7 7\n7 7 7 7 4 7 7 7 7 4 7 7 7 7\n7 7 7 7 4 7 7 7 7 4 7 7 7 7\n7 7 7 7 4 4 4 4 4 4 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\nOutput:\n4 4 4 4 4 4\n4 3 3 5 5 4\n4 3 3 5 5 4\n4 8 8 9 9 4\n4 8 8 9 9 4\n4 4 4 4 4 4\n\nExample 2:\n\nInput:\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 4 4 4 4 4 4 4 4 4 4 7 7\n7 7 4 7 7 7 7 7 7 7 7 4 7 7\n7 7 4 7 7 7 0 0 5 5 7 4 7 7\n7 7 4 7 7 7 0 0 5 5 7 4 7 7\n7 7 4 7 7 7 8 8 6 6 7 4 7 7\n7 7 4 7 7 7 8 8 6 6 7 4 7 7\n7 7 4 7 7 7 7 7 7 7 7 4 7 7\n7 7 4 7 7 7 7 7 7 7 7 4 7 7\n7 7 4 7 7 7 7 7 7 7 7 4 7 7\n7 7 4 4 4 4 4 4 4 4 4 4 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\nOutput:\n4 4 4 4 4 4 4 4 4 4\n4 0 0 0 0 5 5 5 5 4\n4 0 0 0 0 5 5 5 5 4\n4 0 0 0 0 5 5 5 5 4\n4 0 0 0 0 5 5 5 5 4\n4 8 8 8 8 6 6 6 6 4\n4 8 8 8 8 6 6 6 6 4\n4 8 8 8 8 6 6 6 6 4\n4 8 8 8 8 6 6 6 6 4\n4 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:\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 4 4 4 4 4 4 4 4 4 4 7\n7 7 7 4 7 7 7 9 9 5 5 7 4 7\n7 7 7 4 7 7 7 9 9 5 5 7 4 7\n7 7 7 4 7 7 7 6 6 0 0 7 4 7\n7 7 7 4 7 7 7 6 6 0 0 7 4 7\n7 7 7 4 7 7 7 7 7 7 7 7 4 7\n7 7 7 4 7 7 7 7 7 7 7 7 4 7\n7 7 7 4 7 7 7 7 7 7 7 7 4 7\n7 7 7 4 7 7 7 7 7 7 7 7 4 7\n7 7 7 4 4 4 4 4 4 4 4 4 4 7\n", "answer": "4 4 4 4 4 4 4 4 4 4\n4 9 9 9 9 5 5 5 5 4\n4 9 9 9 9 5 5 5 5 4\n4 9 9 9 9 5 5 5 5 4\n4 9 9 9 9 5 5 5 5 4\n4 6 6 6 6 0 0 0 0 4\n4 6 6 6 6 0 0 0 0 4\n4 6 6 6 6 0 0 0 0 4\n4 6 6 6 6 0 0 0 0 4\n4 4 4 4 4 4 4 4 4 4", "metadata": {"source_dataset": "arc_agi", "source_index": 31, "input": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [7, 7, 7, 4, 7, 7, 7, 9, 9, 5, 5, 7, 4, 7], [7, 7, 7, 4, 7, 7, 7, 9, 9, 5, 5, 7, 4, 7], [7, 7, 7, 4, 7, 7, 7, 6, 6, 0, 0, 7, 4, 7], [7, 7, 7, 4, 7, 7, 7, 6, 6, 0, 0, 7, 4, 7], [7, 7, 7, 4, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7], [7, 7, 7, 4, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7], [7, 7, 7, 4, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7], [7, 7, 7, 4, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7], [7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7]], "output": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9, 9, 5, 5, 5, 5, 4], [4, 9, 9, 9, 9, 5, 5, 5, 5, 4], [4, 9, 9, 9, 9, 5, 5, 5, 5, 4], [4, 9, 9, 9, 9, 5, 5, 5, 5, 4], [4, 6, 6, 6, 6, 0, 0, 0, 0, 4], [4, 6, 6, 6, 6, 0, 0, 0, 0, 4], [4, 6, 6, 6, 6, 0, 0, 0, 0, 4], [4, 6, 6, 6, 6, 0, 0, 0, 0, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "task_id": "e7a25a18", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}	{"source_dataset": "arc_agi", "source_index": 31, "input": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7], [7, 7, 7, 4, 7, 7, 7, 9, 9, 5, 5, 7, 4, 7], [7, 7, 7, 4, 7, 7, 7, 9, 9, 5, 5, 7, 4, 7], [7, 7, 7, 4, 7, 7, 7, 6, 6, 0, 0, 7, 4, 7], [7, 7, 7, 4, 7, 7, 7, 6, 6, 0, 0, 7, 4, 7], [7, 7, 7, 4, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7], [7, 7, 7, 4, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7], [7, 7, 7, 4, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7], [7, 7, 7, 4, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7], [7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7]], "output": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 9, 9, 9, 9, 5, 5, 5, 5, 4], [4, 9, 9, 9, 9, 5, 5, 5, 5, 4], [4, 9, 9, 9, 9, 5, 5, 5, 5, 4], [4, 9, 9, 9, 9, 5, 5, 5, 5, 4], [4, 6, 6, 6, 6, 0, 0, 0, 0, 4], [4, 6, 6, 6, 6, 0, 0, 0, 0, 4], [4, 6, 6, 6, 6, 0, 0, 0, 0, 4], [4, 6, 6, 6, 6, 0, 0, 0, 0, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "task_id": "e7a25a18", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 1 2 1 2 1 2 1 1 1 2 1 1 1 2 1 1 2 1 2 1 1 2 2 1 1 2 2 2 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Output: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8 8 1 1 1 8 1 1 1 8 1 8 1 8 1 8 1 1 8 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Example 2: Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 2 1 2 1 2 1 1 1 2 2 1 2 2 2 1 1 2 1 1 1 2 2 1 1 2 1 2 1 2 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 2 2 2 1 2 2 2 1 1 2 1 1 1 1 1 1 1 2 1 2 1 1 1 2 2 1 2 2 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Output: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 8 1 1 1 8 1 1 1 8 1 1 1 8 1 1 1 1 1 1 1 8 1 8 1 1 1 1 8 1 1 8 1 1 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 8 8 1 8 8 8 1 1 8 1 1 1 8 1 1 1 1 1 1 1 8 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Example 3: Input: 1 1 1 1 1 1 1 1 1 1 2 1 2 1 2 2 2 1 1 2 2 1 1 1 1 1 1 1 2 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 2 1 1 2 2 2 1 2 2 1 1 1 1 2 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 Output: 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 8 1 8 8 8 1 1 1 8 1 1 8 1 8 1 1 1 1 1 1 1 1 1 1 1 8 8 1 1 8 1 1 1 1 1 1 1 1 1 1 8 1 1 8 1 8 1 8 8 1 1 1 1 1 1 1 1 1 1 1 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 1 2 1 1 1 2 1 1 2 2 1 1 2 2 2 1 2 1 2 1 1 2 1 2 1 1 1 2 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 2 1 2 1 2 1 1 2 1 2 1 1 2 1 1 2 2 2 1 1 1 2 1 1 2 1 2 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 2 1 2 1 2 2 2 1 1 2 2 2 1 1 2 2 1 1 2 2 1 1 1 1 2 1 2 2 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 1 1 1 1 1 1 1 1 1 1 1 1\n1 8 1 8 1 1 8 1 1 8 8 1 1\n1 1 1 8 1 1 1 1 1 1 8 1 1\n1 1 8 1 1 8 8 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 8 8 1 1 1 8 1 1\n1 1 8 1 1 8 1 8 1 1 1 1 1\n1 8 1 8 1 1 8 1 1 1 1 8 1\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 8 8 1 1 8 1 1 1 1 1 1\n1 1 1 1 1 8 1 1 1 8 1 1 1\n1 8 8 1 1 1 1 8 1 8 1 8 1\n1 1 1 1 1 1 1 1 1 1 1 1 1", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 2 2 1 1 1 2 1 2 1 2 1\n1 1 2 1 1 1 2 1 1 2 1 2 1\n1 2 2 1 1 2 2 2 1 2 2 2 1\n1 1 1 1 1 1 1 1 1 1 1 1 1\nOutput:\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 8 1 1 1 8 8 1 1 1 8 1 1\n1 8 1 8 1 8 1 8 1 1 8 1 1\n1 1 1 8 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1\n\nExample 2:\n\nInput:\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 2 1 2 1 2 1 2 1 2 1\n1 1 2 2 1 2 2 2 1 1 2 1 1\n1 2 2 1 1 2 1 2 1 2 1 2 1\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 2 2 1 2 2 2 1 2 2 2 1\n1 2 1 1 1 1 1 1 1 2 1 2 1\n1 1 2 2 1 2 2 2 1 1 2 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1\nOutput:\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 8 8 1 1 1 8 1 1 1 8 1 1\n1 8 1 1 1 1 1 1 1 8 1 8 1\n1 1 1 8 1 1 8 1 1 1 8 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 8 1 1 1 1 1 1 1 1 1 1 1\n1 1 8 8 1 8 8 8 1 1 8 1 1\n1 8 1 1 1 1 1 1 1 8 1 8 1\n1 1 1 1 1 1 1 1 1 1 1 1 1\n\nExample 3:\n\nInput:\n1 1 1 1 1 1 1 1 1\n1 2 1 2 1 2 2 2 1\n1 2 2 1 1 1 1 1 1\n1 2 1 2 1 1 2 1 1\n1 1 1 1 1 1 1 1 1\n1 1 1 2 1 1 2 2 1\n1 2 2 2 1 2 2 1 1\n1 1 2 1 1 1 1 2 1\n1 1 1 1 1 1 1 1 1\nOutput:\n1 1 1 1 1 1 1 1 1\n1 1 8 1 1 1 1 1 1\n1 1 1 8 1 8 8 8 1\n1 1 8 1 1 8 1 8 1\n1 1 1 1 1 1 1 1 1\n1 8 8 1 1 8 1 1 1\n1 1 1 1 1 1 1 8 1\n1 8 1 8 1 8 8 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 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 2 1 1 2 1 2 1 1 1 2 1\n1 2 2 1 1 2 2 2 1 2 1 2 1\n1 2 1 2 1 1 1 2 1 2 2 2 1\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 2 2 2 1 1 1 2 1 2 1 2 1\n1 2 1 2 1 1 2 1 1 2 2 2 1\n1 1 2 1 1 2 1 2 1 2 2 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 2 1 1 1 2 1 2 1 2 2 2 1\n1 2 2 2 1 1 2 2 1 1 2 2 1\n1 1 1 2 1 2 2 1 1 1 2 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1\n", "answer": "1 1 1 1 1 1 1 1 1 1 1 1 1\n1 8 1 8 1 1 8 1 1 8 8 1 1\n1 1 1 8 1 1 1 1 1 1 8 1 1\n1 1 8 1 1 8 8 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 8 8 1 1 1 8 1 1\n1 1 8 1 1 8 1 8 1 1 1 1 1\n1 8 1 8 1 1 8 1 1 1 1 8 1\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 8 8 1 1 8 1 1 1 1 1 1\n1 1 1 1 1 8 1 1 1 8 1 1 1\n1 8 8 1 1 1 1 8 1 8 1 8 1\n1 1 1 1 1 1 1 1 1 1 1 1 1", "metadata": {"source_dataset": "arc_agi", "source_index": 32, "input": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1], [1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1], [1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1], [1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1], [1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1], [1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1], [1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], "output": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 8, 1, 8, 1, 1, 8, 1, 1, 8, 8, 1, 1], [1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 8, 1, 1], [1, 1, 8, 1, 1, 8, 8, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 8, 8, 1, 1, 1, 8, 1, 1], [1, 1, 8, 1, 1, 8, 1, 8, 1, 1, 1, 1, 1], [1, 8, 1, 8, 1, 1, 8, 1, 1, 1, 1, 8, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 8, 1, 1, 8, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 8, 1, 1, 1, 8, 1, 1, 1], [1, 8, 8, 1, 1, 1, 1, 8, 1, 8, 1, 8, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], "task_id": "1c0d0a4b", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}	{"source_dataset": "arc_agi", "source_index": 32, "input": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1], [1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1], [1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1], [1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1], [1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1], [1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1], [1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], "output": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 8, 1, 8, 1, 1, 8, 1, 1, 8, 8, 1, 1], [1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 8, 1, 1], [1, 1, 8, 1, 1, 8, 8, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 8, 8, 1, 1, 1, 8, 1, 1], [1, 1, 8, 1, 1, 8, 1, 8, 1, 1, 1, 1, 1], [1, 8, 1, 8, 1, 1, 8, 1, 1, 1, 1, 8, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 8, 1, 1, 8, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 8, 1, 1, 1, 8, 1, 1, 1], [1, 8, 8, 1, 1, 1, 1, 8, 1, 8, 1, 8, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], "task_id": "1c0d0a4b", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 7 7 3 3 3 3 3 3 3 3 7 7 3 3 3 3 3 3 3 3 Output: 7 4 4 7 7 4 7 7 4 Example 2: Input: 3 2 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 3 3 3 3 3 3 6 6 6 3 3 3 3 3 3 3 6 6 3 3 3 3 3 3 3 3 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Output: 6 6 6 6 6 2 6 2 2 Example 3: Input: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 3 3 3 3 3 3 3 8 3 8 3 Output: 8 8 8 8 4 8 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: 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 5 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 9 3 3 3 3 3 3 3 3 3 9 3 3 3 3 3 3 3 9 9 9 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 9 9\n5 5 9\n9 9 9", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 4 4 3\n3 3 3 3 3 3 3 3 4 3\n3 3 3 3 3 3 3 3 4 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n7 3 3 3 3 3 3 3 3 3\n7 7 3 3 3 3 3 3 3 3\n7 7 3 3 3 3 3 3 3 3\nOutput:\n7 4 4\n7 7 4\n7 7 4\n\nExample 2:\n\nInput:\n3 2 3 3 3 3 3 3 3 3\n2 2 3 3 3 3 3 3 3 3\n3 3 3 3 6 6 6 3 3 3\n3 3 3 3 6 6 3 3 3 3\n3 3 3 3 6 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\nOutput:\n6 6 6\n6 6 2\n6 2 2\n\nExample 3:\n\nInput:\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 4 3 3 3 3\n3 3 3 3 4 4 4 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 8 8 8 3\n3 3 3 3 3 3 8 3 8 3\nOutput:\n8 8 8\n8 4 8\n4 4 4\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 5 3 3 3 3\n3 3 3 3 3 5 5 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n3 9 9 3 3 3 3 3 3 3\n3 3 9 3 3 3 3 3 3 3\n9 9 9 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3\n", "answer": "5 9 9\n5 5 9\n9 9 9", "metadata": {"source_dataset": "arc_agi", "source_index": 33, "input": [[3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 5, 3, 3, 3, 3], [3, 3, 3, 3, 3, 5, 5, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 9, 9, 3, 3, 3, 3, 3, 3, 3], [3, 3, 9, 3, 3, 3, 3, 3, 3, 3], [9, 9, 9, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3]], "output": [[5, 9, 9], [5, 5, 9], [9, 9, 9]], "task_id": "681b3aeb", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}	{"source_dataset": "arc_agi", "source_index": 33, "input": [[3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 5, 3, 3, 3, 3], [3, 3, 3, 3, 3, 5, 5, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 9, 9, 3, 3, 3, 3, 3, 3, 3], [3, 3, 9, 3, 3, 3, 3, 3, 3, 3], [9, 9, 9, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3]], "output": [[5, 9, 9], [5, 5, 9], [9, 9, 9]], "task_id": "681b3aeb", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 6 6 6 6 8 8 8 8 8 8 8 8 4 8 8 8 8 6 6 6 6 6 6 8 8 4 4 4 4 4 4 4 4 4 8 8 6 6 6 6 6 6 8 8 4 4 4 4 4 4 4 4 4 8 8 6 6 6 6 6 6 8 8 4 4 4 4 4 4 4 4 4 4 8 6 6 6 6 6 6 8 8 4 4 4 4 4 4 4 4 4 8 8 6 6 6 6 6 6 8 8 4 4 4 4 4 4 4 4 4 8 8 6 6 6 6 6 6 8 4 4 4 4 4 4 4 4 4 4 8 8 6 6 6 6 6 6 8 8 4 4 4 4 4 4 4 4 4 8 8 6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 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 4 6 6 6 6 6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 6 6 6 6 8 8 4 4 4 4 4 4 8 4 4 8 8 6 6 6 6 6 6 8 8 4 4 4 4 4 4 8 4 4 8 8 6 6 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 6 6 6 6 8 8 4 4 4 4 4 4 8 4 4 8 8 6 6 6 6 6 6 8 8 4 4 4 4 4 4 8 4 4 8 8 6 6 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 6 6 6 6 8 8 4 4 4 4 4 4 8 4 4 8 8 6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 6 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 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 0 0 0 0 0 0 0 0 6 6 6 6 6 6 6 0 0 0 0 1 0 0 0 6 6 6 6 6 6 6 0 0 1 1 1 1 0 0 6 6 6 6 6 6 6 0 0 1 1 1 1 0 0 6 6 6 6 6 6 6 0 0 1 1 1 1 0 0 6 6 6 6 6 6 6 0 1 1 1 1 1 0 0 6 6 6 6 6 6 6 0 0 1 1 1 1 0 0 6 6 6 6 6 6 6 0 0 1 1 1 1 1 0 6 6 6 6 6 6 6 0 0 1 1 1 1 0 0 6 6 6 6 6 6 6 0 0 1 1 1 1 0 0 6 6 6 6 6 6 6 0 0 0 0 0 0 0 0 6 6 6 6 6 6 6 0 0 0 0 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 Output: 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 0 0 0 0 0 0 0 0 6 6 6 6 6 6 6 0 0 0 0 0 0 0 0 6 6 6 6 6 6 6 0 0 1 1 0 1 0 0 6 6 6 6 6 6 6 0 0 1 1 0 1 0 0 6 6 6 6 6 6 6 0 0 1 1 0 1 0 0 6 6 6 6 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 6 6 6 0 0 1 1 0 1 0 0 6 6 6 6 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 6 6 6 0 0 1 1 0 1 0 0 6 6 6 6 6 6 6 0 0 1 1 0 1 0 0 6 6 6 6 6 6 6 0 0 0 0 0 0 0 0 6 6 6 6 6 6 6 0 0 0 0 0 0 0 0 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 Example 3: Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 4 4 9 9 9 9 9 9 9 9 4 4 6 6 6 6 4 4 9 9 9 9 9 9 9 9 4 4 6 6 6 6 4 4 9 9 9 9 9 9 9 9 9 4 6 6 6 6 4 4 9 9 9 9 9 9 9 9 4 4 6 6 6 6 4 4 9 9 9 9 9 9 9 9 4 4 6 6 6 6 4 4 9 9 9 9 9 9 9 9 4 4 6 6 6 6 4 4 9 9 9 9 9 9 9 9 4 4 6 6 6 6 4 4 9 9 9 9 9 9 9 9 4 4 6 6 6 6 4 4 4 4 4 4 9 4 4 4 4 4 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 4 4 9 9 9 9 4 9 9 9 4 4 6 6 6 6 4 4 9 9 9 9 4 9 9 9 4 4 6 6 6 9 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9 6 4 4 9 9 9 9 4 9 9 9 4 4 6 6 6 6 4 4 9 9 9 9 4 9 9 9 4 4 6 6 6 6 4 4 9 9 9 9 4 9 9 9 4 4 6 6 6 6 4 4 9 9 9 9 4 9 9 9 4 4 6 6 6 6 4 4 9 9 9 9 4 9 9 9 4 4 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 6 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 6 6 6 6 0 0 8 8 8 8 8 8 8 8 8 0 0 6 6 6 6 6 6 0 0 8 8 8 8 8 8 8 8 8 0 0 6 6 6 6 6 6 0 0 8 8 8 8 8 8 8 8 8 8 0 6 6 6 6 6 6 0 0 8 8 8 8 8 8 8 8 8 0 0 6 6 6 6 6 6 0 0 8 8 8 8 8 8 8 8 8 0 0 6 6 6 6 6 6 0 0 8 8 8 8 8 8 8 8 8 0 0 6 6 6 6 6 6 0 0 8 8 8 8 8 8 8 8 8 8 0 6 6 6 6 6 6 0 0 8 8 8 8 8 8 8 8 8 0 0 6 6 6 6 6 6 0 0 8 8 8 8 8 8 8 8 8 0 0 6 6 6 6 6 6 0 0 8 8 8 8 8 8 8 8 8 0 0 6 6 6 6 6 6 0 0 0 0 0 0 8 0 0 0 0 0 0 6 6 6 6 6 6 0 0 0 0 0 0 0 0 0 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	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "6 6 6 6 6 6 6 6 6 8 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 8 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 8 6 6 6 6 6 6 6 6 6\n6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 6\n6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 6\n6 6 6 0 0 8 8 8 8 0 8 8 8 8 0 0 6 6 6\n6 6 6 0 0 8 8 8 8 0 8 8 8 8 0 0 6 6 6\n8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8\n6 6 6 0 0 8 8 8 8 0 8 8 8 8 0 0 6 6 6\n6 6 6 0 0 8 8 8 8 0 8 8 8 8 0 0 6 6 6\n6 6 6 0 0 8 8 8 8 0 8 8 8 8 0 0 6 6 6\n8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8\n6 6 6 0 0 8 8 8 8 0 8 8 8 8 0 0 6 6 6\n6 6 6 0 0 8 8 8 8 0 8 8 8 8 0 0 6 6 6\n6 6 6 0 0 8 8 8 8 0 8 8 8 8 0 0 6 6 6\n6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 6\n6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 6\n6 6 6 6 6 6 6 6 6 8 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\n6 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6\n6 6 6 6 8 8 8 8 8 8 8 8 4 8 8 8 8 6 6\n6 6 6 6 8 8 4 4 4 4 4 4 4 4 4 8 8 6 6\n6 6 6 6 8 8 4 4 4 4 4 4 4 4 4 8 8 6 6\n6 6 6 6 8 8 4 4 4 4 4 4 4 4 4 4 8 6 6\n6 6 6 6 8 8 4 4 4 4 4 4 4 4 4 8 8 6 6\n6 6 6 6 8 8 4 4 4 4 4 4 4 4 4 8 8 6 6\n6 6 6 6 8 4 4 4 4 4 4 4 4 4 4 8 8 6 6\n6 6 6 6 8 8 4 4 4 4 4 4 4 4 4 8 8 6 6\n6 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6\n6 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6\n6 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 4 6 6 6 6 6 6\n6 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6\n6 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6\n6 6 6 6 8 8 4 4 4 4 4 4 8 4 4 8 8 6 6\n6 6 6 6 8 8 4 4 4 4 4 4 8 4 4 8 8 6 6\n4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4\n6 6 6 6 8 8 4 4 4 4 4 4 8 4 4 8 8 6 6\n6 6 6 6 8 8 4 4 4 4 4 4 8 4 4 8 8 6 6\n4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4\n6 6 6 6 8 8 4 4 4 4 4 4 8 4 4 8 8 6 6\n6 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6\n6 6 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6\n\nExample 2:\n\nInput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 0 0 0 0 0 0 0 0 6 6 6 6\n6 6 6 0 0 0 0 1 0 0 0 6 6 6 6\n6 6 6 0 0 1 1 1 1 0 0 6 6 6 6\n6 6 6 0 0 1 1 1 1 0 0 6 6 6 6\n6 6 6 0 0 1 1 1 1 0 0 6 6 6 6\n6 6 6 0 1 1 1 1 1 0 0 6 6 6 6\n6 6 6 0 0 1 1 1 1 0 0 6 6 6 6\n6 6 6 0 0 1 1 1 1 1 0 6 6 6 6\n6 6 6 0 0 1 1 1 1 0 0 6 6 6 6\n6 6 6 0 0 1 1 1 1 0 0 6 6 6 6\n6 6 6 0 0 0 0 0 0 0 0 6 6 6 6\n6 6 6 0 0 0 0 0 0 0 0 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\nOutput:\n6 6 6 6 6 6 6 1 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 1 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 1 6 6 6 6 6 6 6\n6 6 6 0 0 0 0 0 0 0 0 6 6 6 6\n6 6 6 0 0 0 0 0 0 0 0 6 6 6 6\n6 6 6 0 0 1 1 0 1 0 0 6 6 6 6\n6 6 6 0 0 1 1 0 1 0 0 6 6 6 6\n6 6 6 0 0 1 1 0 1 0 0 6 6 6 6\n1 1 1 0 0 0 0 0 0 0 0 1 1 1 1\n6 6 6 0 0 1 1 0 1 0 0 6 6 6 6\n1 1 1 0 0 0 0 0 0 0 0 1 1 1 1\n6 6 6 0 0 1 1 0 1 0 0 6 6 6 6\n6 6 6 0 0 1 1 0 1 0 0 6 6 6 6\n6 6 6 0 0 0 0 0 0 0 0 6 6 6 6\n6 6 6 0 0 0 0 0 0 0 0 6 6 6 6\n6 6 6 6 6 6 6 1 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 1 6 6 6 6 6 6 6\n\nExample 3:\n\nInput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6\n6 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6\n6 4 4 9 9 9 9 9 9 9 9 4 4 6 6 6\n6 4 4 9 9 9 9 9 9 9 9 4 4 6 6 6\n6 4 4 9 9 9 9 9 9 9 9 9 4 6 6 6\n6 4 4 9 9 9 9 9 9 9 9 4 4 6 6 6\n6 4 4 9 9 9 9 9 9 9 9 4 4 6 6 6\n6 4 4 9 9 9 9 9 9 9 9 4 4 6 6 6\n6 4 4 9 9 9 9 9 9 9 9 4 4 6 6 6\n6 4 4 9 9 9 9 9 9 9 9 4 4 6 6 6\n6 4 4 4 4 4 4 9 4 4 4 4 4 6 6 6\n6 4 4 4 4 4 4 4 4 4 4 4 4 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\nOutput:\n6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6\n6 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6\n6 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6\n6 4 4 9 9 9 9 4 9 9 9 4 4 6 6 6\n6 4 4 9 9 9 9 4 9 9 9 4 4 6 6 6\n9 4 4 4 4 4 4 4 4 4 4 4 4 9 9 9\n6 4 4 9 9 9 9 4 9 9 9 4 4 6 6 6\n6 4 4 9 9 9 9 4 9 9 9 4 4 6 6 6\n6 4 4 9 9 9 9 4 9 9 9 4 4 6 6 6\n6 4 4 9 9 9 9 4 9 9 9 4 4 6 6 6\n6 4 4 9 9 9 9 4 9 9 9 4 4 6 6 6\n6 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6\n6 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6\n6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 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\n6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 6\n6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 6\n6 6 6 0 0 8 8 8 8 8 8 8 8 8 0 0 6 6 6\n6 6 6 0 0 8 8 8 8 8 8 8 8 8 0 0 6 6 6\n6 6 6 0 0 8 8 8 8 8 8 8 8 8 8 0 6 6 6\n6 6 6 0 0 8 8 8 8 8 8 8 8 8 0 0 6 6 6\n6 6 6 0 0 8 8 8 8 8 8 8 8 8 0 0 6 6 6\n6 6 6 0 0 8 8 8 8 8 8 8 8 8 0 0 6 6 6\n6 6 6 0 0 8 8 8 8 8 8 8 8 8 8 0 6 6 6\n6 6 6 0 0 8 8 8 8 8 8 8 8 8 0 0 6 6 6\n6 6 6 0 0 8 8 8 8 8 8 8 8 8 0 0 6 6 6\n6 6 6 0 0 8 8 8 8 8 8 8 8 8 0 0 6 6 6\n6 6 6 0 0 0 0 0 0 8 0 0 0 0 0 0 6 6 6\n6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n", "answer": "6 6 6 6 6 6 6 6 6 8 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 8 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 8 6 6 6 6 6 6 6 6 6\n6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 6\n6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 6\n6 6 6 0 0 8 8 8 8 0 8 8 8 8 0 0 6 6 6\n6 6 6 0 0 8 8 8 8 0 8 8 8 8 0 0 6 6 6\n8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8\n6 6 6 0 0 8 8 8 8 0 8 8 8 8 0 0 6 6 6\n6 6 6 0 0 8 8 8 8 0 8 8 8 8 0 0 6 6 6\n6 6 6 0 0 8 8 8 8 0 8 8 8 8 0 0 6 6 6\n8 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8\n6 6 6 0 0 8 8 8 8 0 8 8 8 8 0 0 6 6 6\n6 6 6 0 0 8 8 8 8 0 8 8 8 8 0 0 6 6 6\n6 6 6 0 0 8 8 8 8 0 8 8 8 8 0 0 6 6 6\n6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 6\n6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 6\n6 6 6 6 6 6 6 6 6 8 6 6 6 6 6 6 6 6 6", "metadata": {"source_dataset": "arc_agi", "source_index": 34, "input": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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]], "output": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 6, 6, 6], [8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8], [6, 6, 6, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 6, 6, 6], [8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8], [6, 6, 6, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_id": "f1cefba8", "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": 34, "input": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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]], "output": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 6, 6, 6], [8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8], [6, 6, 6, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 6, 6, 6], [8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8], [6, 6, 6, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6], [6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_id": "f1cefba8", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 6 2 6 7 7 7 6 2 6 Output: 6 7 6 6 2 6 2 7 2 7 7 7 6 7 6 6 2 6 6 2 6 6 7 6 7 7 7 2 7 2 6 2 6 6 7 6 Example 2: Input: 9 4 3 2 3 3 2 9 3 Output: 2 2 9 3 9 2 9 3 4 3 3 2 3 3 3 3 4 9 9 4 3 3 3 3 2 3 3 4 3 9 2 9 3 9 2 2 Example 3: Input: 6 2 3 9 4 2 9 4 6 Output: 9 9 6 6 4 9 4 4 2 2 4 9 6 2 3 3 2 6 6 2 3 3 2 6 9 4 2 2 4 4 9 4 6 6 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: 2 5 5 3 4 5 3 4 6	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "3 3 2 6 4 3\n4 4 5 5 4 3\n6 5 5 5 5 2\n2 5 5 5 5 6\n3 4 5 5 4 4\n3 4 6 2 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 2 6\n7 7 7\n6 2 6\nOutput:\n6 7 6 6 2 6\n2 7 2 7 7 7\n6 7 6 6 2 6\n6 2 6 6 7 6\n7 7 7 2 7 2\n6 2 6 6 7 6\n\nExample 2:\n\nInput:\n9 4 3\n2 3 3\n2 9 3\nOutput:\n2 2 9 3 9 2\n9 3 4 3 3 2\n3 3 3 3 4 9\n9 4 3 3 3 3\n2 3 3 4 3 9\n2 9 3 9 2 2\n\nExample 3:\n\nInput:\n6 2 3\n9 4 2\n9 4 6\nOutput:\n9 9 6 6 4 9\n4 4 2 2 4 9\n6 2 3 3 2 6\n6 2 3 3 2 6\n9 4 2 2 4 4\n9 4 6 6 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:\n2 5 5\n3 4 5\n3 4 6\n", "answer": "3 3 2 6 4 3\n4 4 5 5 4 3\n6 5 5 5 5 2\n2 5 5 5 5 6\n3 4 5 5 4 4\n3 4 6 2 3 3", "metadata": {"source_dataset": "arc_agi", "source_index": 35, "input": [[2, 5, 5], [3, 4, 5], [3, 4, 6]], "output": [[3, 3, 2, 6, 4, 3], [4, 4, 5, 5, 4, 3], [6, 5, 5, 5, 5, 2], [2, 5, 5, 5, 5, 6], [3, 4, 5, 5, 4, 4], [3, 4, 6, 2, 3, 3]], "task_id": "7fe24cdd", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}	{"source_dataset": "arc_agi", "source_index": 35, "input": [[2, 5, 5], [3, 4, 5], [3, 4, 6]], "output": [[3, 3, 2, 6, 4, 3], [4, 4, 5, 5, 4, 3], [6, 5, 5, 5, 5, 2], [2, 5, 5, 5, 5, 6], [3, 4, 5, 5, 4, 4], [3, 4, 6, 2, 3, 3]], "task_id": "7fe24cdd", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 7 7 7 7 8 8 7 5 5 8 8 7 7 8 8 7 5 5 8 8 7 7 7 7 7 7 8 7 7 7 7 7 7 5 5 7 7 8 7 8 8 7 5 5 7 7 7 7 8 8 7 7 7 7 7 7 7 7 5 7 7 7 7 5 5 7 7 7 7 8 8 7 5 5 7 8 7 7 8 8 7 Output: 7 8 8 8 8 Example 2: Input: 5 7 7 7 7 5 7 8 8 7 7 8 8 7 7 7 8 8 7 7 8 8 7 5 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 5 5 7 8 8 7 5 7 7 5 5 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 7 5 5 7 7 7 7 8 8 7 5 5 7 8 7 Output: 7 8 8 8 8 Example 3: Input: 8 7 7 5 5 7 7 7 7 7 7 7 5 5 7 8 8 7 5 5 7 7 7 7 8 8 7 5 5 7 7 7 7 7 7 7 7 7 7 7 7 5 5 7 8 7 7 8 8 7 5 5 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 8 7 Output: 7 7 7 8 8 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 8 7 5 5 7 7 7 7 7 7 7 5 5 7 8 7 8 8 7 7 7 7 7 7 7 8 8 7 7 8 8 7 7 7 7 7 7 7 8 8 7 7 5 5 7 7 7 7 7 7 7 5 5 7 7 5 5 7 7 7 7 7 8 7 5 5 7 8 8 7 5 5 7 7 7 7 8 8 7 5 5	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 7 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:\n7 7 7 7 8 8 7 5 5\n8 8 7 7 8 8 7 5 5\n8 8 7 7 7 7 7 7 8\n7 7 7 7 7 7 5 5 7\n7 8 7 8 8 7 5 5 7\n7 7 7 8 8 7 7 7 7\n7 7 7 7 5 7 7 7 7\n5 5 7 7 7 7 8 8 7\n5 5 7 8 7 7 8 8 7\nOutput:\n7 8 8 8 8\n\nExample 2:\n\nInput:\n5 7 7 7 7 5 7 8 8\n7 7 8 8 7 7 7 8 8\n7 7 8 8 7 5 7 7 7\n8 7 7 7 7 7 7 7 7\n7 7 7 5 5 7 8 8 7\n5 7 7 5 5 7 8 8 7\n7 7 7 7 7 7 7 7 7\n7 8 8 7 5 5 7 7 7\n7 8 8 7 5 5 7 8 7\nOutput:\n7 8 8 8 8\n\nExample 3:\n\nInput:\n8 7 7 5 5 7 7 7 7\n7 7 7 5 5 7 8 8 7\n5 5 7 7 7 7 8 8 7\n5 5 7 7 7 7 7 7 7\n7 7 7 7 7 5 5 7 8\n7 7 8 8 7 5 5 7 7\n7 7 8 8 7 7 7 7 7\n7 7 7 7 7 7 7 7 7\n8 7 7 7 7 7 7 8 7\nOutput:\n7 7 7 8 8\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n8 7 5 5 7 7 7 7 7\n7 7 5 5 7 8 7 8 8\n7 7 7 7 7 7 7 8 8\n7 7 8 8 7 7 7 7 7\n7 7 8 8 7 7 5 5 7\n7 7 7 7 7 7 5 5 7\n7 5 5 7 7 7 7 7 8\n7 5 5 7 8 8 7 5 5\n7 7 7 7 8 8 7 5 5\n", "answer": "7 7 8 8 8", "metadata": {"source_dataset": "arc_agi", "source_index": 36, "input": [[8, 7, 5, 5, 7, 7, 7, 7, 7], [7, 7, 5, 5, 7, 8, 7, 8, 8], [7, 7, 7, 7, 7, 7, 7, 8, 8], [7, 7, 8, 8, 7, 7, 7, 7, 7], [7, 7, 8, 8, 7, 7, 5, 5, 7], [7, 7, 7, 7, 7, 7, 5, 5, 7], [7, 5, 5, 7, 7, 7, 7, 7, 8], [7, 5, 5, 7, 8, 8, 7, 5, 5], [7, 7, 7, 7, 8, 8, 7, 5, 5]], "output": [[7, 7, 8, 8, 8]], "task_id": "1fad071e", "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": 36, "input": [[8, 7, 5, 5, 7, 7, 7, 7, 7], [7, 7, 5, 5, 7, 8, 7, 8, 8], [7, 7, 7, 7, 7, 7, 7, 8, 8], [7, 7, 8, 8, 7, 7, 7, 7, 7], [7, 7, 8, 8, 7, 7, 5, 5, 7], [7, 7, 7, 7, 7, 7, 5, 5, 7], [7, 5, 5, 7, 7, 7, 7, 7, 8], [7, 5, 5, 7, 8, 8, 7, 5, 5], [7, 7, 7, 7, 8, 8, 7, 5, 5]], "output": [[7, 7, 8, 8, 8]], "task_id": "1fad071e", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 7 7 7 7 7 7 7 7 1 7 7 7 7 7 7 Output: 7 7 9 7 4 7 7 7 7 7 7 7 0 7 3 Example 2: Input: 7 7 7 7 7 7 7 7 7 7 7 7 1 7 7 Output: 7 7 7 7 7 7 9 7 4 7 7 7 7 7 7 Example 3: Input: 7 7 7 7 7 7 1 7 7 7 7 7 7 7 7 Output: 9 7 4 7 7 7 7 7 7 7 0 7 3 7 7 Example 4: Input: 7 7 7 7 1 7 7 7 7 7 7 7 7 7 7 Output: 7 7 7 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: 7 7 7 7 7 7 7 7 7 1 7 7 7 7 7	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 7 7 9 7\n7 7 7 7 7\n7 7 7 0 7", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n7 7 7 7 7\n7 7 7 1 7\n7 7 7 7 7\nOutput:\n7 7 9 7 4\n7 7 7 7 7\n7 7 0 7 3\n\nExample 2:\n\nInput:\n7 7 7 7 7\n7 7 7 7 7\n7 7 1 7 7\nOutput:\n7 7 7 7 7\n7 9 7 4 7\n7 7 7 7 7\n\nExample 3:\n\nInput:\n7 7 7 7 7\n7 1 7 7 7\n7 7 7 7 7\nOutput:\n9 7 4 7 7\n7 7 7 7 7\n0 7 3 7 7\n\nExample 4:\n\nInput:\n7 7 7 7 1\n7 7 7 7 7\n7 7 7 7 7\nOutput:\n7 7 7 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:\n7 7 7 7 7\n7 7 7 7 1\n7 7 7 7 7\n", "answer": "7 7 7 9 7\n7 7 7 7 7\n7 7 7 0 7", "metadata": {"source_dataset": "arc_agi", "source_index": 37, "input": [[7, 7, 7, 7, 7], [7, 7, 7, 7, 1], [7, 7, 7, 7, 7]], "output": [[7, 7, 7, 9, 7], [7, 7, 7, 7, 7], [7, 7, 7, 0, 7]], "task_id": "a9f96cdd", "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": 37, "input": [[7, 7, 7, 7, 7], [7, 7, 7, 7, 1], [7, 7, 7, 7, 7]], "output": [[7, 7, 7, 9, 7], [7, 7, 7, 7, 7], [7, 7, 7, 0, 7]], "task_id": "a9f96cdd", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 1 1 1 2 2 2 2 1 1 1 2 2 2 2 1 2 1 2 2 1 2 1 2 2 2 2 1 2 1 2 2 2 2 1 1 1 2 2 1 1 1 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Output: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 1 1 1 2 2 2 2 1 1 1 2 2 2 2 1 2 1 2 2 1 2 1 2 2 2 2 1 2 1 2 2 2 2 1 1 1 2 2 1 1 1 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 2 2 7 7 7 2 2 2 2 1 1 1 2 2 2 2 7 2 7 2 2 7 2 7 2 2 2 2 1 2 1 2 2 2 2 7 7 7 2 2 7 7 7 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 7 7 7 2 2 2 2 1 1 1 2 2 2 2 7 2 7 2 2 7 2 7 2 2 2 2 1 2 1 2 2 2 2 7 7 7 2 2 7 7 7 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Example 2: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 1 1 1 2 1 1 1 2 2 2 1 1 1 2 2 2 1 2 1 2 2 2 1 2 1 2 1 2 1 2 2 2 1 2 1 2 2 2 1 1 1 2 2 2 1 1 1 2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Output: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 1 1 1 2 1 1 1 2 2 2 1 1 1 2 2 2 1 2 1 2 2 2 1 2 1 2 1 2 1 2 2 2 1 2 1 2 2 2 1 1 1 2 2 2 1 1 1 2 1 1 1 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 7 7 7 2 7 7 7 2 2 2 7 7 7 2 2 2 1 2 1 2 2 2 7 2 7 2 7 2 7 2 2 2 7 2 7 2 2 2 1 1 1 2 2 2 7 7 7 2 7 7 7 2 2 2 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 7 7 7 2 7 7 7 2 2 2 7 7 7 2 2 2 1 2 1 2 2 2 7 2 7 2 7 2 7 2 2 2 7 2 7 2 2 2 1 1 1 2 2 2 7 7 7 2 7 7 7 2 2 2 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 1 1 1 2 2 2 1 1 1 2 1 1 1 2 2 2 1 2 1 2 2 1 2 1 2 2 2 1 2 1 2 1 2 1 2 2 2 1 1 1 2 2 1 1 1 2 2 2 1 1 1 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 1 1 1 2 2 1 1 1 2 2 2 1 1 1 2 1 1 1 2 2\n2 1 2 1 2 2 1 2 1 2 2 2 1 2 1 2 1 2 1 2 2\n2 1 1 1 2 2 1 1 1 2 2 2 1 1 1 2 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 7 7 7 2 2 7 7 7 2 2 2 7 7 7 2 1 1 1 2 2\n2 7 2 7 2 2 7 2 7 2 2 2 7 2 7 2 1 2 1 2 2\n2 7 7 7 2 2 7 7 7 2 2 2 7 7 7 2 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 7 7 7 2 2 7 7 7 2 2 2 7 7 7 2 1 1 1 2 2\n2 7 2 7 2 2 7 2 7 2 2 2 7 2 7 2 1 2 1 2 2\n2 7 7 7 2 2 7 7 7 2 2 2 7 7 7 2 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 7 7 7 2 2 7 7 7 2 2 2 7 7 7 2 1 1 1 2 2\n2 7 2 7 2 2 7 2 7 2 2 2 7 2 7 2 1 2 1 2 2\n2 7 7 7 2 2 7 7 7 2 2 2 7 7 7 2 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 7 7 7 2 2 7 7 7 2 2 2 7 7 7 2 1 1 1 2 2\n2 7 2 7 2 2 7 2 7 2 2 2 7 2 7 2 1 2 1 2 2\n2 7 7 7 2 2 7 7 7 2 2 2 7 7 7 2 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 1 1 1 2 2 1 1 1 2 2 2 2 1 1 1 2\n2 2 2 1 2 1 2 2 1 2 1 2 2 2 2 1 2 1 2\n2 2 2 1 1 1 2 2 1 1 1 2 2 2 2 1 1 1 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 1 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 1 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\nOutput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 1 1 1 2 2 1 1 1 2 2 2 2 1 1 1 2\n2 2 2 1 2 1 2 2 1 2 1 2 2 2 2 1 2 1 2\n2 2 2 1 1 1 2 2 1 1 1 2 2 2 2 1 1 1 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 7 7 7 2 2 7 7 7 2 2 2 2 1 1 1 2\n2 2 2 7 2 7 2 2 7 2 7 2 2 2 2 1 2 1 2\n2 2 2 7 7 7 2 2 7 7 7 2 2 2 2 1 1 1 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 7 7 7 2 2 7 7 7 2 2 2 2 1 1 1 2\n2 2 2 7 2 7 2 2 7 2 7 2 2 2 2 1 2 1 2\n2 2 2 7 7 7 2 2 7 7 7 2 2 2 2 1 1 1 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n\nExample 2:\n\nInput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 1 1 1 2 2 2 1 1 1 2 1 1 1 2 2 2 1 1 1 2 2\n2 1 2 1 2 2 2 1 2 1 2 1 2 1 2 2 2 1 2 1 2 2\n2 1 1 1 2 2 2 1 1 1 2 1 1 1 2 2 2 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\nOutput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 1 1 1 2 2 2 1 1 1 2 1 1 1 2 2 2 1 1 1 2 2\n2 1 2 1 2 2 2 1 2 1 2 1 2 1 2 2 2 1 2 1 2 2\n2 1 1 1 2 2 2 1 1 1 2 1 1 1 2 2 2 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 1 1 1 2 2 2 7 7 7 2 7 7 7 2 2 2 7 7 7 2 2\n2 1 2 1 2 2 2 7 2 7 2 7 2 7 2 2 2 7 2 7 2 2\n2 1 1 1 2 2 2 7 7 7 2 7 7 7 2 2 2 7 7 7 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 1 1 1 2 2 2 7 7 7 2 7 7 7 2 2 2 7 7 7 2 2\n2 1 2 1 2 2 2 7 2 7 2 7 2 7 2 2 2 7 2 7 2 2\n2 1 1 1 2 2 2 7 7 7 2 7 7 7 2 2 2 7 7 7 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 1 1 1 2 2 1 1 1 2 2 2 1 1 1 2 1 1 1 2 2\n2 1 2 1 2 2 1 2 1 2 2 2 1 2 1 2 1 2 1 2 2\n2 1 1 1 2 2 1 1 1 2 2 2 1 1 1 2 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n", "answer": "2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 1 1 1 2 2 1 1 1 2 2 2 1 1 1 2 1 1 1 2 2\n2 1 2 1 2 2 1 2 1 2 2 2 1 2 1 2 1 2 1 2 2\n2 1 1 1 2 2 1 1 1 2 2 2 1 1 1 2 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 7 7 7 2 2 7 7 7 2 2 2 7 7 7 2 1 1 1 2 2\n2 7 2 7 2 2 7 2 7 2 2 2 7 2 7 2 1 2 1 2 2\n2 7 7 7 2 2 7 7 7 2 2 2 7 7 7 2 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 7 7 7 2 2 7 7 7 2 2 2 7 7 7 2 1 1 1 2 2\n2 7 2 7 2 2 7 2 7 2 2 2 7 2 7 2 1 2 1 2 2\n2 7 7 7 2 2 7 7 7 2 2 2 7 7 7 2 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 7 7 7 2 2 7 7 7 2 2 2 7 7 7 2 1 1 1 2 2\n2 7 2 7 2 2 7 2 7 2 2 2 7 2 7 2 1 2 1 2 2\n2 7 7 7 2 2 7 7 7 2 2 2 7 7 7 2 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 7 7 7 2 2 7 7 7 2 2 2 7 7 7 2 1 1 1 2 2\n2 7 2 7 2 2 7 2 7 2 2 2 7 2 7 2 1 2 1 2 2\n2 7 7 7 2 2 7 7 7 2 2 2 7 7 7 2 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2", "metadata": {"source_dataset": "arc_agi", "source_index": 38, "input": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2], [2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2], [2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "output": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2], [2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2], [2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 7, 7, 7, 2, 2, 7, 7, 7, 2, 2, 2, 7, 7, 7, 2, 1, 1, 1, 2, 2], [2, 7, 2, 7, 2, 2, 7, 2, 7, 2, 2, 2, 7, 2, 7, 2, 1, 2, 1, 2, 2], [2, 7, 7, 7, 2, 2, 7, 7, 7, 2, 2, 2, 7, 7, 7, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 7, 7, 7, 2, 2, 7, 7, 7, 2, 2, 2, 7, 7, 7, 2, 1, 1, 1, 2, 2], [2, 7, 2, 7, 2, 2, 7, 2, 7, 2, 2, 2, 7, 2, 7, 2, 1, 2, 1, 2, 2], [2, 7, 7, 7, 2, 2, 7, 7, 7, 2, 2, 2, 7, 7, 7, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 7, 7, 7, 2, 2, 7, 7, 7, 2, 2, 2, 7, 7, 7, 2, 1, 1, 1, 2, 2], [2, 7, 2, 7, 2, 2, 7, 2, 7, 2, 2, 2, 7, 2, 7, 2, 1, 2, 1, 2, 2], [2, 7, 7, 7, 2, 2, 7, 7, 7, 2, 2, 2, 7, 7, 7, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 7, 7, 7, 2, 2, 7, 7, 7, 2, 2, 2, 7, 7, 7, 2, 1, 1, 1, 2, 2], [2, 7, 2, 7, 2, 2, 7, 2, 7, 2, 2, 2, 7, 2, 7, 2, 1, 2, 1, 2, 2], [2, 7, 7, 7, 2, 2, 7, 7, 7, 2, 2, 2, 7, 7, 7, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "task_id": "5b526a93", "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": 38, "input": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2], [2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2], [2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "output": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2], [2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2], [2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 7, 7, 7, 2, 2, 7, 7, 7, 2, 2, 2, 7, 7, 7, 2, 1, 1, 1, 2, 2], [2, 7, 2, 7, 2, 2, 7, 2, 7, 2, 2, 2, 7, 2, 7, 2, 1, 2, 1, 2, 2], [2, 7, 7, 7, 2, 2, 7, 7, 7, 2, 2, 2, 7, 7, 7, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 7, 7, 7, 2, 2, 7, 7, 7, 2, 2, 2, 7, 7, 7, 2, 1, 1, 1, 2, 2], [2, 7, 2, 7, 2, 2, 7, 2, 7, 2, 2, 2, 7, 2, 7, 2, 1, 2, 1, 2, 2], [2, 7, 7, 7, 2, 2, 7, 7, 7, 2, 2, 2, 7, 7, 7, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 7, 7, 7, 2, 2, 7, 7, 7, 2, 2, 2, 7, 7, 7, 2, 1, 1, 1, 2, 2], [2, 7, 2, 7, 2, 2, 7, 2, 7, 2, 2, 2, 7, 2, 7, 2, 1, 2, 1, 2, 2], [2, 7, 7, 7, 2, 2, 7, 7, 7, 2, 2, 2, 7, 7, 7, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 7, 7, 7, 2, 2, 7, 7, 7, 2, 2, 2, 7, 7, 7, 2, 1, 1, 1, 2, 2], [2, 7, 2, 7, 2, 2, 7, 2, 7, 2, 2, 2, 7, 2, 7, 2, 1, 2, 1, 2, 2], [2, 7, 7, 7, 2, 2, 7, 7, 7, 2, 2, 2, 7, 7, 7, 2, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "task_id": "5b526a93", "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 9 9 9 9 9 9 9 9 9 9 1 9 9 9 9 1 9 9 9 9 9 9 9 5 9 9 9 9 4 9 9 9 9 9 9 9 5 9 9 9 9 4 9 9 9 9 9 9 9 1 9 9 9 9 1 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 4 4 5 9 9 9 9 9 9 9 9 9 9 9 4 5 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 1 9 9 9 9 1 5 9 5 4 4 4 5 5 5 4 9 4 1 9 9 9 9 1 Example 2: Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 9 9 9 9 1 9 9 9 9 9 9 9 0 9 9 9 9 2 9 9 9 9 9 9 9 0 9 9 9 9 2 9 9 9 9 9 9 9 0 9 9 9 9 2 9 9 9 9 9 9 9 1 9 9 9 9 1 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 0 0 9 2 9 9 9 9 9 9 9 9 9 0 0 2 2 9 9 9 9 9 9 9 9 9 9 0 9 2 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 1 9 9 9 9 1 0 0 0 9 2 2 0 0 0 2 2 2 0 9 0 9 2 2 1 9 9 9 9 1 Example 3: Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 5 9 4 9 9 9 9 9 9 9 9 9 9 5 9 4 4 4 9 9 9 9 9 9 9 9 5 5 4 9 9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 1 9 9 9 9 9 9 1 9 9 9 9 9 5 9 9 9 9 9 9 4 9 9 9 9 9 5 9 9 9 9 9 9 4 9 9 9 9 9 5 9 9 9 9 9 9 4 9 9 9 9 9 5 9 9 9 9 9 9 4 9 9 9 9 9 1 9 9 9 9 9 9 1 Output: 1 9 9 9 9 9 9 1 5 5 5 9 4 9 9 4 5 9 5 9 4 4 4 4 5 9 5 5 4 9 9 4 5 9 9 5 9 9 9 4 1 9 9 9 9 9 9 1 Example 4: Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 2 9 7 9 7 9 9 9 9 9 9 9 2 2 2 7 7 7 9 9 9 9 9 9 9 9 2 9 7 9 7 9 9 9 9 9 9 9 9 2 2 7 7 7 9 9 9 9 9 9 9 9 9 9 7 9 7 9 9 9 9 1 9 9 9 9 9 9 1 9 9 9 9 9 7 9 9 9 9 9 9 2 9 9 9 9 9 7 9 9 9 9 9 9 2 9 9 9 9 9 7 9 9 9 9 9 9 2 9 9 9 9 9 7 9 9 9 9 9 9 2 9 9 9 9 9 7 9 9 9 9 9 9 2 9 9 9 9 9 1 9 9 9 9 9 9 1 9 9 9 9 Output: 1 9 9 9 9 9 9 1 7 7 9 7 9 2 9 2 7 7 7 7 2 2 2 2 7 7 9 7 9 2 9 2 7 7 7 7 2 2 9 2 7 7 9 7 9 9 9 2 1 9 9 9 9 9 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 9 9 9 9 9 9 9 9 9 9 9 9 1 9 9 9 9 9 9 1 9 9 9 9 9 5 9 9 9 9 9 9 7 9 9 9 9 9 5 9 9 9 9 9 9 7 9 9 9 9 9 5 9 9 9 9 9 9 7 9 9 9 9 9 5 9 9 9 9 9 9 7 9 9 9 9 9 1 9 9 9 9 9 9 1 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 9 7 5 9 9 9 9 9 9 9 9 9 7 7 7 5 5 5 9 9 9 9 9 9 9 7 9 9 9 5 9 9 9 9 9 9 9 9 7 9 9 9 5 5 9 9 9 9 9 9	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 9 9 9 9 9 9 1\n5 9 9 5 7 9 7 7\n5 5 5 5 7 7 7 7\n5 9 5 9 9 9 7 7\n5 5 5 9 9 9 7 7\n1 9 9 9 9 9 9 1", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 1 9 9 9 9 1 9 9 9 9 9\n9 9 5 9 9 9 9 4 9 9 9 9 9\n9 9 5 9 9 9 9 4 9 9 9 9 9\n9 9 1 9 9 9 9 1 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 4 4 5 9 9 9 9 9 9 9\n9 9 9 9 4 5 5 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\nOutput:\n1 9 9 9 9 1\n5 9 5 4 4 4\n5 5 5 4 9 4\n1 9 9 9 9 1\n\nExample 2:\n\nInput:\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 1 9 9 9 9 1 9 9\n9 9 9 9 9 0 9 9 9 9 2 9 9\n9 9 9 9 9 0 9 9 9 9 2 9 9\n9 9 9 9 9 0 9 9 9 9 2 9 9\n9 9 9 9 9 1 9 9 9 9 1 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 0 0 9 2 9 9 9 9\n9 9 9 9 9 0 0 2 2 9 9 9 9\n9 9 9 9 9 9 0 9 2 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\nOutput:\n1 9 9 9 9 1\n0 0 0 9 2 2\n0 0 0 2 2 2\n0 9 0 9 2 2\n1 9 9 9 9 1\n\nExample 3:\n\nInput:\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 5 5 9 4 9 9 9 9 9 9 9\n9 9 9 5 9 4 4 4 9 9 9 9 9\n9 9 9 5 5 4 9 9 9 9 9 9 9\n9 9 9 9 5 9 9 9 9 9 9 9 9\n9 9 9 9 9 1 9 9 9 9 9 9 1\n9 9 9 9 9 5 9 9 9 9 9 9 4\n9 9 9 9 9 5 9 9 9 9 9 9 4\n9 9 9 9 9 5 9 9 9 9 9 9 4\n9 9 9 9 9 5 9 9 9 9 9 9 4\n9 9 9 9 9 1 9 9 9 9 9 9 1\nOutput:\n1 9 9 9 9 9 9 1\n5 5 5 9 4 9 9 4\n5 9 5 9 4 4 4 4\n5 9 5 5 4 9 9 4\n5 9 9 5 9 9 9 4\n1 9 9 9 9 9 9 1\n\nExample 4:\n\nInput:\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 2 9 7 9 7 9 9 9\n9 9 9 9 2 2 2 7 7 7 9 9 9\n9 9 9 9 9 2 9 7 9 7 9 9 9\n9 9 9 9 9 2 2 7 7 7 9 9 9\n9 9 9 9 9 9 9 7 9 7 9 9 9\n9 1 9 9 9 9 9 9 1 9 9 9 9\n9 7 9 9 9 9 9 9 2 9 9 9 9\n9 7 9 9 9 9 9 9 2 9 9 9 9\n9 7 9 9 9 9 9 9 2 9 9 9 9\n9 7 9 9 9 9 9 9 2 9 9 9 9\n9 7 9 9 9 9 9 9 2 9 9 9 9\n9 1 9 9 9 9 9 9 1 9 9 9 9\nOutput:\n1 9 9 9 9 9 9 1\n7 7 9 7 9 2 9 2\n7 7 7 7 2 2 2 2\n7 7 9 7 9 2 9 2\n7 7 7 7 2 2 9 2\n7 7 9 7 9 9 9 2\n1 9 9 9 9 9 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 9 9 9 9 9 9 9 9 9 9 9\n9 1 9 9 9 9 9 9 1 9 9 9 9\n9 5 9 9 9 9 9 9 7 9 9 9 9\n9 5 9 9 9 9 9 9 7 9 9 9 9\n9 5 9 9 9 9 9 9 7 9 9 9 9\n9 5 9 9 9 9 9 9 7 9 9 9 9\n9 1 9 9 9 9 9 9 1 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9\n9 7 9 7 5 9 9 9 9 9 9 9 9\n9 7 7 7 5 5 5 9 9 9 9 9 9\n9 7 9 9 9 5 9 9 9 9 9 9 9\n9 7 9 9 9 5 5 9 9 9 9 9 9\n", "answer": "1 9 9 9 9 9 9 1\n5 9 9 5 7 9 7 7\n5 5 5 5 7 7 7 7\n5 9 5 9 9 9 7 7\n5 5 5 9 9 9 7 7\n1 9 9 9 9 9 9 1", "metadata": {"source_dataset": "arc_agi", "source_index": 39, "input": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 1, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9, 9], [9, 5, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9], [9, 5, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9], [9, 5, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9], [9, 5, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9], [9, 1, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 7, 9, 7, 5, 9, 9, 9, 9, 9, 9, 9, 9], [9, 7, 7, 7, 5, 5, 5, 9, 9, 9, 9, 9, 9], [9, 7, 9, 9, 9, 5, 9, 9, 9, 9, 9, 9, 9], [9, 7, 9, 9, 9, 5, 5, 9, 9, 9, 9, 9, 9]], "output": [[1, 9, 9, 9, 9, 9, 9, 1], [5, 9, 9, 5, 7, 9, 7, 7], [5, 5, 5, 5, 7, 7, 7, 7], [5, 9, 5, 9, 9, 9, 7, 7], [5, 5, 5, 9, 9, 9, 7, 7], [1, 9, 9, 9, 9, 9, 9, 1]], "task_id": "846bdb03", "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": 39, "input": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 1, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9, 9], [9, 5, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9], [9, 5, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9], [9, 5, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9], [9, 5, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9], [9, 1, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 7, 9, 7, 5, 9, 9, 9, 9, 9, 9, 9, 9], [9, 7, 7, 7, 5, 5, 5, 9, 9, 9, 9, 9, 9], [9, 7, 9, 9, 9, 5, 9, 9, 9, 9, 9, 9, 9], [9, 7, 9, 9, 9, 5, 5, 9, 9, 9, 9, 9, 9]], "output": [[1, 9, 9, 9, 9, 9, 9, 1], [5, 9, 9, 5, 7, 9, 7, 7], [5, 5, 5, 5, 7, 7, 7, 7], [5, 9, 5, 9, 9, 9, 7, 7], [5, 5, 5, 9, 9, 9, 7, 7], [1, 9, 9, 9, 9, 9, 9, 1]], "task_id": "846bdb03", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 7 9 6 7 Output: 7 9 7 9 7 9 6 7 6 7 6 7 9 7 9 7 9 7 7 6 7 6 7 6 7 9 7 9 7 9 6 7 6 7 6 7 Example 2: Input: 8 2 3 6 Output: 8 2 8 2 8 2 3 6 3 6 3 6 2 8 2 8 2 8 6 3 6 3 6 3 8 2 8 2 8 2 3 6 3 6 3 6 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 5 3 9 2	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 3 5 3 5 3\n9 2 9 2 9 2\n3 5 3 5 3 5\n2 9 2 9 2 9\n5 3 5 3 5 3\n9 2 9 2 9 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:\n7 9\n6 7\nOutput:\n7 9 7 9 7 9\n6 7 6 7 6 7\n9 7 9 7 9 7\n7 6 7 6 7 6\n7 9 7 9 7 9\n6 7 6 7 6 7\n\nExample 2:\n\nInput:\n8 2\n3 6\nOutput:\n8 2 8 2 8 2\n3 6 3 6 3 6\n2 8 2 8 2 8\n6 3 6 3 6 3\n8 2 8 2 8 2\n3 6 3 6 3 6\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n5 3\n9 2\n", "answer": "5 3 5 3 5 3\n9 2 9 2 9 2\n3 5 3 5 3 5\n2 9 2 9 2 9\n5 3 5 3 5 3\n9 2 9 2 9 2", "metadata": {"source_dataset": "arc_agi", "source_index": 40, "input": [[5, 3], [9, 2]], "output": [[5, 3, 5, 3, 5, 3], [9, 2, 9, 2, 9, 2], [3, 5, 3, 5, 3, 5], [2, 9, 2, 9, 2, 9], [5, 3, 5, 3, 5, 3], [9, 2, 9, 2, 9, 2]], "task_id": "00576224", "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": 40, "input": [[5, 3], [9, 2]], "output": [[5, 3, 5, 3, 5, 3], [9, 2, 9, 2, 9, 2], [3, 5, 3, 5, 3, 5], [2, 9, 2, 9, 2, 9], [5, 3, 5, 3, 5, 3], [9, 2, 9, 2, 9, 2]], "task_id": "00576224", "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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 1 1 1 1 1 1 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 1 1 1 1 1 1 1 6 9 6 9 6 9 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 1 1 1 1 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 1 1 1 1 1 9 6 9 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 1 1 1 1 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 1 1 1 1 1 9 6 9 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 1 1 1 1 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 9 9 1 1 1 1 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 1 1 1 1 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 9 9 1 1 1 1 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 1 1 1 1 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 1 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 1 1 9 6 9 6 9 6 9 6 9 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 1 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 1 1 1 1 9 6 1 1 9 6 9 6 9 6 9 6 9 6 9 9 9 9 9 9 9 9 9 9 9 9 1 1 1 1 9 9 1 1 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 1 1 1 1 9 6 1 1 9 6 9 6 9 6 9 6 9 6 9 9 9 9 9 9 9 9 9 9 9 9 1 1 1 1 9 9 1 1 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 1 1 1 1 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 9 9 9 9 9 9 9 9 9 9 9 1 1 1 1 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 Output: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 Example 2: Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 9 9 9 1 1 1 1 1 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 1 1 1 1 1 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 1 1 9 5 9 5 9 1 1 1 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 1 1 9 9 9 9 9 1 1 1 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 1 1 1 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 2 9 2 9 2 9 1 1 1 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 3 9 3 9 3 9 1 1 1 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 4 9 4 9 4 9 1 1 1 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 1 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 1 1 9 6 9 6 1 1 1 6 9 6 9 6 9 6 9 2 9 2 9 2 9 2 9 2 9 2 9 2 1 1 9 2 9 2 1 1 1 2 9 2 9 2 9 2 9 3 9 3 9 3 9 3 9 3 9 3 9 3 1 1 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 Output: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 Example 3: Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 1 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 1 1 9 6 9 6 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 1 1 9 0 9 0 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 1 1 9 5 9 5 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 1 1 9 3 9 3 9 9 9 9 9 9 9 9 1 1 1 1 1 9 9 9 9 9 9 9 9 9 9 9 1 1 9 9 9 9 9 6 9 6 9 6 9 6 1 1 1 1 1 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 0 9 0 9 0 9 0 1 1 1 1 1 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 5 9 5 9 5 9 5 1 1 1 1 1 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 1 1 0 9 0 9 0 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 1 1 5 9 5 9 5 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 1 1 3 9 3 9 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 5 9 5 9 5 9 5 9 1 1 1 1 1 1 1 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 3 9 3 9 3 9 3 9 1 1 1 1 1 1 1 9 3 9 3 9 3 9 3 9 3 1 1 1 3 9 9 9 9 9 9 9 9 9 1 1 1 1 1 1 1 9 9 9 9 9 9 9 9 9 9 1 1 1 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 1 1 1 6 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 Output: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 1 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 1 1 9 6 9 6 9 6 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 1 1 1 9 2 1 1 9 2 9 2 9 2 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 1 1 1 1 1 0 1 1 9 0 9 0 9 0 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 1 1 1 1 1 5 1 1 9 5 9 5 9 5 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 1 1 1 1 1 8 1 1 9 8 9 8 9 8 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 1 1 1 1 1 3 1 1 9 3 9 3 9 3 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 1 1 1 1 1 4 9 4 9 4 9 4 9 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 1 1 1 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 1 1 1 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 1 1 1 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 1 1 1 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 1 1 1 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 1 1 1 1 3 9 3 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 1 1 1 1 4 9 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 1 1 1 9 9 9 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 1 1 1 1 6 9 6 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8\n9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3\n9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8\n9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3\n9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8\n9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3\n9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 1 1 1 1 1 1 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 1 1 1 1 1 1 1 6 9 6 9 6 9 6\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 1 1 1 1 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 1 1 1 1 1 9 6 9 6\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 1 1 1 1 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 1 1 1 1 1 9 6 9 6\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 1 1 1 1 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 9 9 1 1 1 1 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 1 1 1 1 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 9 9 1 1 1 1 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 1 1 1 1 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 1 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 1 1 9 6 9 6 9 6 9 6 9 6\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 1 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 1 1 1 1 9 6 1 1 9 6 9 6 9 6 9 6 9 6\n9 9 9 9 9 9 9 9 9 9 9 9 1 1 1 1 9 9 1 1 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 1 1 1 1 9 6 1 1 9 6 9 6 9 6 9 6 9 6\n9 9 9 9 9 9 9 9 9 9 9 9 1 1 1 1 9 9 1 1 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 1 1 1 1 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 9 9 9 9 9 9 9 9 9 9 9 1 1 1 1 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\nOutput:\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n\nExample 2:\n\nInput:\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2\n9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3\n9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 9 9 9 1 1 1 1 1 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 1 1 1 1 1 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2\n9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3\n9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n1 1 9 5 9 5 9 1 1 1 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n1 1 9 9 9 9 9 1 1 1 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 1 1 1 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 2 9 2 9 2 9 1 1 1 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2\n9 3 9 3 9 3 9 1 1 1 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3\n9 4 9 4 9 4 9 1 1 1 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 1 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 1 1 9 6 9 6 1 1 1 6 9 6 9 6 9 6\n9 2 9 2 9 2 9 2 9 2 9 2 9 2 1 1 9 2 9 2 1 1 1 2 9 2 9 2 9 2\n9 3 9 3 9 3 9 3 9 3 9 3 9 3 1 1 9 3 9 3 9 3 9 3 9 3 9 3 9 3\n9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\nOutput:\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2\n9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3\n9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2\n9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3\n9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2\n9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3\n9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2\n9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3\n9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n\nExample 3:\n\nInput:\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 1 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 1 1 9 6 9 6\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 1 1 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 1 1 9 5 9 5\n9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 1 1 9 3 9 3\n9 9 9 9 9 9 9 9 1 1 1 1 1 9 9 9 9 9 9 9 9 9 9 9 1 1 9 9 9 9\n9 6 9 6 9 6 9 6 1 1 1 1 1 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 0 9 0 9 0 9 0 1 1 1 1 1 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 1 1 1 1 1 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 1 1 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 1 1 5 9 5 9 5\n9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 1 1 3 9 3 9 3\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 1 1 1 1 1 1 1 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 3 9 3 9 3 9 3 9 1 1 1 1 1 1 1 9 3 9 3 9 3 9 3 9 3 1 1 1 3\n9 9 9 9 9 9 9 9 9 1 1 1 1 1 1 1 9 9 9 9 9 9 9 9 9 9 1 1 1 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 1 1 1 6\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3\nOutput:\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 1 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 1 1 9 6 9 6 9 6\n9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 1 1 1 9 2 1 1 9 2 9 2 9 2\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 1 1 1 1 1 0 1 1 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 1 1 1 1 1 5 1 1 9 5 9 5 9 5\n9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 1 1 1 1 1 8 1 1 9 8 9 8 9 8\n9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 1 1 1 1 1 3 1 1 9 3 9 3 9 3\n9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 1 1 1 1 1 4 9 4 9 4 9 4 9 4\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 1 1 1 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2\n9 1 1 1 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 1 1 1 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 1 1 1 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8\n9 1 1 1 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3\n9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8\n9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 1 1 1 1 3 9 3\n9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 1 1 1 1 4 9 4\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 1 1 1 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 1 1 1 1 6 9 6\n9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8\n", "answer": "9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8\n9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3\n9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8\n9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3\n9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8\n9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3 9 3\n9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4 9 4\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6\n9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2 9 2\n9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0 9 0\n9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5 9 5\n9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8 9 8", "metadata": {"source_dataset": "arc_agi", "source_index": 41, "input": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 1, 9, 9, 9, 9, 9, 9], [9, 6, 9, 6, 9, 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1, 6, 9, 6], [9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2], [9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0], [9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5], [9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8]], "output": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6], [9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2], [9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0], [9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5], [9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8], [9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3], [9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6], [9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2], [9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0], [9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5], [9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8], [9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3], [9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6], [9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2], [9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0], [9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5], [9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8], [9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3], [9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4, 9, 4], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6], [9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2, 9, 2], [9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0, 9, 0], [9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5, 9, 5], [9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8, 9, 8]], "task_id": "ca8f78db", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 7 7 7 7 7 7 7 7 7 7 0 0 5 5 5 5 0 0 0 0 7 7 7 7 7 7 7 7 7 7 0 0 5 5 1 5 0 0 0 0 7 7 7 7 7 7 7 7 7 7 0 0 1 5 5 5 0 0 0 0 7 7 7 7 7 7 7 1 7 7 0 0 0 0 0 0 0 0 0 0 7 7 7 7 7 1 7 7 7 7 0 0 0 0 0 0 0 0 0 0 7 7 7 7 7 7 7 7 7 7 0 0 0 0 0 5 5 5 0 0 7 7 7 7 7 7 7 7 7 7 0 0 0 0 0 5 5 5 0 0 7 7 7 7 7 7 7 7 7 7 0 0 0 0 0 4 5 4 0 0 7 7 7 7 7 7 7 7 7 7 0 0 0 0 0 5 5 5 0 0 7 7 4 7 4 7 7 7 7 7 0 0 0 0 0 0 0 0 0 0 7 7 7 7 7 7 7 7 7 7 0 0 0 0 0 0 0 0 0 0 Output: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 5 5 5 7 7 7 7 7 7 5 5 1 5 7 7 7 7 7 7 1 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 5 5 7 7 7 7 7 7 7 5 5 5 7 7 7 7 7 7 7 4 5 4 7 7 7 7 7 7 7 5 5 5 7 7 7 7 7 Example 2: Input: 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 4 4 4 7 7 7 4 4 2 2 2 2 2 0 2 2 4 4 4 0 7 7 4 4 2 2 2 2 2 2 2 2 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 4 4 4 4 7 7 1 4 2 2 2 1 2 2 2 2 4 4 4 4 7 7 7 4 2 2 2 2 2 2 2 2 4 4 4 4 7 7 1 4 2 2 2 1 2 2 2 2 4 4 4 4 7 7 7 4 2 2 2 2 2 2 2 2 4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2 Output: 2 2 2 2 2 7 7 7 2 2 2 2 2 0 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 1 2 2 2 2 2 7 7 7 2 2 2 2 2 7 7 1 2 2 2 2 2 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 Example 3: Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 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 5 7 7 4 4 4 4 7 7 7 1 7 4 4 4 4 7 7 5 7 4 4 4 4 7 1 7 1 7 4 4 4 4 7 7 7 7 4 4 4 4 7 1 7 7 7 4 4 4 4 7 7 5 7 4 4 4 4 4 4 4 4 4 4 4 4 4 7 5 7 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 7 1 7 7 7 1 7 4 4 4 4 4 4 4 4 4 4 7 7 7 1 7 7 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Output: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 5 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 5 7 6 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 7 7 5 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 5 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 7 1 7 7 7 1 7 6 6 6 6 6 6 6 6 6 6 7 7 7 1 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 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 4 4 7 4 4 1 1 1 4 4 1 1 4 4 4 4 7 1 1 1 4 4 1 1 4 4 7 4 4 1 1 1 4 7 1 1 1 1 1 1 1 1 1 1 4 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7 4 4 4 4 1 1 1 1 1 1 1 4 7 4 4 4 1 1 1 1 1 1 1 4 4 4 4 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 2 2 2 2 2 2 2 2 2 2 2 2 2 7 2 2 2 2 2 2 2 2 2 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 2 2 2 2 2 2 2 2 2 2 2 2 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 4 4 7 4 4 2\n2 2 2 2 2 2 4 4 4 4 7 2\n2 2 2 2 2 2 4 4 7 4 4 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 7 4 4 4 4 2 2 2 2\n2 2 2 4 7 4 4 4 2 2 2 2\n2 2 2 4 4 4 4 4 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n7 7 7 7 7 7 7 7 7 7 0 0 5 5 5 5 0 0 0 0\n7 7 7 7 7 7 7 7 7 7 0 0 5 5 1 5 0 0 0 0\n7 7 7 7 7 7 7 7 7 7 0 0 1 5 5 5 0 0 0 0\n7 7 7 7 7 7 7 1 7 7 0 0 0 0 0 0 0 0 0 0\n7 7 7 7 7 1 7 7 7 7 0 0 0 0 0 0 0 0 0 0\n7 7 7 7 7 7 7 7 7 7 0 0 0 0 0 5 5 5 0 0\n7 7 7 7 7 7 7 7 7 7 0 0 0 0 0 5 5 5 0 0\n7 7 7 7 7 7 7 7 7 7 0 0 0 0 0 4 5 4 0 0\n7 7 7 7 7 7 7 7 7 7 0 0 0 0 0 5 5 5 0 0\n7 7 4 7 4 7 7 7 7 7 0 0 0 0 0 0 0 0 0 0\n7 7 7 7 7 7 7 7 7 7 0 0 0 0 0 0 0 0 0 0\nOutput:\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 5 5 5 5 7\n7 7 7 7 7 5 5 1 5 7\n7 7 7 7 7 1 5 5 5 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 5 5 5 7 7 7 7 7\n7 7 5 5 5 7 7 7 7 7\n7 7 4 5 4 7 7 7 7 7\n7 7 5 5 5 7 7 7 7 7\n\nExample 2:\n\nInput:\n4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2\n4 4 4 7 7 7 4 4 2 2 2 2 2 0 2 2\n4 4 4 0 7 7 4 4 2 2 2 2 2 2 2 2\n4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2\n4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2\n4 4 4 4 7 7 1 4 2 2 2 1 2 2 2 2\n4 4 4 4 7 7 7 4 2 2 2 2 2 2 2 2\n4 4 4 4 7 7 1 4 2 2 2 1 2 2 2 2\n4 4 4 4 7 7 7 4 2 2 2 2 2 2 2 2\n4 4 4 4 4 4 4 4 2 2 2 2 2 2 2 2\nOutput:\n2 2 2 2 2 7 7 7\n2 2 2 2 2 0 7 7\n2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2\n2 7 7 1 2 2 2 2\n2 7 7 7 2 2 2 2\n2 7 7 1 2 2 2 2\n2 7 7 7 2 2 2 2\n2 2 2 2 2 2 2 2\n\nExample 3:\n\nInput:\n6 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 5 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6\n6 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\n6 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\n6 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\n6 6 6 1 6 6 6 1 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 1 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\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\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 7 5 7 7 4 4\n4 4 7 7 7 1 7 4 4 4 4 7 7 5 7 4 4\n4 4 7 1 7 1 7 4 4 4 4 7 7 7 7 4 4\n4 4 7 1 7 7 7 4 4 4 4 7 7 5 7 4 4\n4 4 4 4 4 4 4 4 4 4 4 7 5 7 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 7 1 7 7 7 1 7 4 4\n4 4 4 4 4 4 4 4 7 7 7 1 7 7 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\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:\n6 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 7 5 7 7 6 6\n6 6 6 6 6 6 6 6 6 6 6 7 7 5 7 6 6\n6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6\n6 6 6 6 6 6 6 6 6 6 6 7 7 5 7 6 6\n6 6 6 6 6 6 6 6 6 6 6 7 5 7 7 6 6\n6 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\n6 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\n6 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\n6 6 7 1 7 7 7 1 7 6 6 6 6 6 6 6 6\n6 6 7 7 7 1 7 7 7 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\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n1 1 1 1 1 1 1 1 1 1 1 1\n1 4 4 7 4 4 1 1 1 4 4 1\n1 4 4 4 4 7 1 1 1 4 4 1\n1 4 4 7 4 4 1 1 1 4 7 1\n1 1 1 1 1 1 1 1 1 4 4 1\n1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 7 4 4 4 4 1 1 1\n1 1 1 1 4 7 4 4 4 1 1 1\n1 1 1 1 4 4 4 4 4 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 7 2 2 2\n2 2 2 2 2 2 2 2 2 2 7 2\n2 2 2 2 2 2 2 2 7 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 7 2 2 2 2 2 2 2 2\n2 2 2 2 7 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n", "answer": "2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 4 4 7 4 4 2\n2 2 2 2 2 2 4 4 4 4 7 2\n2 2 2 2 2 2 4 4 7 4 4 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 7 4 4 4 4 2 2 2 2\n2 2 2 4 7 4 4 4 2 2 2 2\n2 2 2 4 4 4 4 4 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2", "metadata": {"source_dataset": "arc_agi", "source_index": 42, "input": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 4, 4, 7, 4, 4, 1, 1, 1, 4, 4, 1], [1, 4, 4, 4, 4, 7, 1, 1, 1, 4, 4, 1], [1, 4, 4, 7, 4, 4, 1, 1, 1, 4, 7, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 7, 4, 4, 4, 4, 1, 1, 1], [1, 1, 1, 1, 4, 7, 4, 4, 4, 1, 1, 1], [1, 1, 1, 1, 4, 4, 4, 4, 4, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 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, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 2], [2, 2, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 7, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 7, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "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, 4, 4, 7, 4, 4, 2], [2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 7, 2], [2, 2, 2, 2, 2, 2, 4, 4, 7, 4, 4, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 7, 4, 4, 4, 4, 2, 2, 2, 2], [2, 2, 2, 4, 7, 4, 4, 4, 2, 2, 2, 2], [2, 2, 2, 4, 4, 4, 4, 4, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "task_id": "e6721834", "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": 42, "input": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 4, 4, 7, 4, 4, 1, 1, 1, 4, 4, 1], [1, 4, 4, 4, 4, 7, 1, 1, 1, 4, 4, 1], [1, 4, 4, 7, 4, 4, 1, 1, 1, 4, 7, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 7, 4, 4, 4, 4, 1, 1, 1], [1, 1, 1, 1, 4, 7, 4, 4, 4, 1, 1, 1], [1, 1, 1, 1, 4, 4, 4, 4, 4, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 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, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 2], [2, 2, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 7, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 7, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "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, 4, 4, 7, 4, 4, 2], [2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 7, 2], [2, 2, 2, 2, 2, 2, 4, 4, 7, 4, 4, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 7, 4, 4, 4, 4, 2, 2, 2, 2], [2, 2, 2, 4, 7, 4, 4, 4, 2, 2, 2, 2], [2, 2, 2, 4, 4, 4, 4, 4, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "task_id": "e6721834", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 7 1 1 9 7 1 1 9 7 1 1 9 5 7 9 5 5 7 9 5 5 7 9 5 5 9 7 5 5 9 7 5 5 9 7 5 9 1 1 7 9 1 1 7 9 1 1 7 Output: 7 1 1 9 5 7 9 5 5 9 7 5 9 1 1 7 Example 2: Input: 9 4 9 4 9 4 9 7 9 7 9 7 Output: 9 4 9 7 Example 3: Input: 7 8 5 5 8 7 7 8 5 8 8 8 8 8 8 8 8 8 5 8 7 7 8 5 5 8 7 Output: 7 8 5 8 8 8 5 8 7 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 7 7 1 9 1 7 7 1 9 1 7 7 1 9 1 7 7 1 9 9 7 7 1 9 9 7 7 1 9 9 1 9 9 9 1 1 9 9 9 1 1 9 9 9 1 9 9 1 5 5 9 9 1 5 5 9 9 1 5 5 1 9 1 5 5 1 9 1 5 5 1 9 1 5 5	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 7 1 9 1\n7 7 1 9 9\n1 9 9 9 1\n9 9 1 5 5\n1 9 1 5 5", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n7 1 1 9 7 1 1 9 7 1 1 9\n5 7 9 5 5 7 9 5 5 7 9 5\n5 9 7 5 5 9 7 5 5 9 7 5\n9 1 1 7 9 1 1 7 9 1 1 7\nOutput:\n7 1 1 9\n5 7 9 5\n5 9 7 5\n9 1 1 7\n\nExample 2:\n\nInput:\n9 4 9 4 9 4\n9 7 9 7 9 7\nOutput:\n9 4\n9 7\n\nExample 3:\n\nInput:\n7 8 5 5 8 7 7 8 5\n8 8 8 8 8 8 8 8 8\n5 8 7 7 8 5 5 8 7\nOutput:\n7 8 5\n8 8 8\n5 8 7\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n7 7 1 9 1 7 7 1 9 1 7 7 1 9 1\n7 7 1 9 9 7 7 1 9 9 7 7 1 9 9\n1 9 9 9 1 1 9 9 9 1 1 9 9 9 1\n9 9 1 5 5 9 9 1 5 5 9 9 1 5 5\n1 9 1 5 5 1 9 1 5 5 1 9 1 5 5\n", "answer": "7 7 1 9 1\n7 7 1 9 9\n1 9 9 9 1\n9 9 1 5 5\n1 9 1 5 5", "metadata": {"source_dataset": "arc_agi", "source_index": 43, "input": [[7, 7, 1, 9, 1, 7, 7, 1, 9, 1, 7, 7, 1, 9, 1], [7, 7, 1, 9, 9, 7, 7, 1, 9, 9, 7, 7, 1, 9, 9], [1, 9, 9, 9, 1, 1, 9, 9, 9, 1, 1, 9, 9, 9, 1], [9, 9, 1, 5, 5, 9, 9, 1, 5, 5, 9, 9, 1, 5, 5], [1, 9, 1, 5, 5, 1, 9, 1, 5, 5, 1, 9, 1, 5, 5]], "output": [[7, 7, 1, 9, 1], [7, 7, 1, 9, 9], [1, 9, 9, 9, 1], [9, 9, 1, 5, 5], [1, 9, 1, 5, 5]], "task_id": "2dee498d", "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": 43, "input": [[7, 7, 1, 9, 1, 7, 7, 1, 9, 1, 7, 7, 1, 9, 1], [7, 7, 1, 9, 9, 7, 7, 1, 9, 9, 7, 7, 1, 9, 9], [1, 9, 9, 9, 1, 1, 9, 9, 9, 1, 1, 9, 9, 9, 1], [9, 9, 1, 5, 5, 9, 9, 1, 5, 5, 9, 9, 1, 5, 5], [1, 9, 1, 5, 5, 1, 9, 1, 5, 5, 1, 9, 1, 5, 5]], "output": [[7, 7, 1, 9, 1], [7, 7, 1, 9, 9], [1, 9, 9, 9, 1], [9, 9, 1, 5, 5], [1, 9, 1, 5, 5]], "task_id": "2dee498d", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 2 5 5 5 5 2 2 2 2 2 2 5 5 5 5 2 2 2 2 2 2 5 5 5 5 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 5 5 5 2 2 2 2 2 5 5 5 5 5 2 2 2 2 2 5 5 5 5 5 2 2 2 2 2 5 5 5 5 5 2 2 2 2 2 5 5 5 5 5 2 2 2 2 2 2 2 2 2 2 2 Output: 2 5 5 5 5 2 2 2 2 2 2 5 9 9 5 2 2 2 2 2 2 5 5 5 5 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 5 5 5 2 2 2 2 2 5 6 6 6 5 2 2 2 2 2 5 6 6 6 5 2 2 2 2 2 5 6 6 6 5 2 2 2 2 2 5 5 5 5 5 2 2 2 2 2 2 2 2 2 2 2 Example 2: Input: 2 5 5 5 5 5 5 2 2 2 2 5 5 5 5 5 5 2 2 2 2 5 5 5 5 5 5 2 2 2 2 5 5 5 5 5 5 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 5 5 2 2 2 2 2 2 5 5 5 5 2 2 2 2 2 2 5 5 5 5 2 2 2 2 2 2 5 5 5 5 2 2 2 2 2 2 2 2 2 2 2 Output: 2 5 5 5 5 5 5 2 2 2 2 5 6 6 6 6 5 2 2 2 2 5 6 6 6 6 5 2 2 2 2 5 5 5 5 5 5 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 5 5 2 2 2 2 2 2 5 9 9 5 2 2 2 2 2 2 5 9 9 5 2 2 2 2 2 2 5 5 5 5 2 2 2 2 2 2 2 2 2 2 2 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 5 5 5 5 5 5 2 2 2 2 5 5 5 5 5 5 2 2 2 2 5 5 5 5 5 5 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 5 5 5 5 2 2 2 2 5 5 5 5 5 5 2 2 2 2 5 5 5 5 5 5 2 2 2 2 5 5 5 5 5 5 2 2 2 2 5 5 5 5 5 5 2 2 2 2 5 5 5 5 5 5	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 5 5 5 5 5 2 2 2 2\n5 9 9 9 9 5 2 2 2 2\n5 5 5 5 5 5 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 5 5 5 5 5 5\n2 2 2 2 5 6 6 6 6 5\n2 2 2 2 5 6 6 6 6 5\n2 2 2 2 5 6 6 6 6 5\n2 2 2 2 5 6 6 6 6 5\n2 2 2 2 5 5 5 5 5 5", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n2 5 5 5 5 2 2 2 2 2\n2 5 5 5 5 2 2 2 2 2\n2 5 5 5 5 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 5 5 5 5 5 2\n2 2 2 2 5 5 5 5 5 2\n2 2 2 2 5 5 5 5 5 2\n2 2 2 2 5 5 5 5 5 2\n2 2 2 2 5 5 5 5 5 2\n2 2 2 2 2 2 2 2 2 2\nOutput:\n2 5 5 5 5 2 2 2 2 2\n2 5 9 9 5 2 2 2 2 2\n2 5 5 5 5 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 5 5 5 5 5 2\n2 2 2 2 5 6 6 6 5 2\n2 2 2 2 5 6 6 6 5 2\n2 2 2 2 5 6 6 6 5 2\n2 2 2 2 5 5 5 5 5 2\n2 2 2 2 2 2 2 2 2 2\n\nExample 2:\n\nInput:\n2 5 5 5 5 5 5 2 2 2\n2 5 5 5 5 5 5 2 2 2\n2 5 5 5 5 5 5 2 2 2\n2 5 5 5 5 5 5 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 5 5 5 5 2\n2 2 2 2 2 5 5 5 5 2\n2 2 2 2 2 5 5 5 5 2\n2 2 2 2 2 5 5 5 5 2\n2 2 2 2 2 2 2 2 2 2\nOutput:\n2 5 5 5 5 5 5 2 2 2\n2 5 6 6 6 6 5 2 2 2\n2 5 6 6 6 6 5 2 2 2\n2 5 5 5 5 5 5 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 5 5 5 5 2\n2 2 2 2 2 5 9 9 5 2\n2 2 2 2 2 5 9 9 5 2\n2 2 2 2 2 5 5 5 5 2\n2 2 2 2 2 2 2 2 2 2\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n5 5 5 5 5 5 2 2 2 2\n5 5 5 5 5 5 2 2 2 2\n5 5 5 5 5 5 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 5 5 5 5 5 5\n2 2 2 2 5 5 5 5 5 5\n2 2 2 2 5 5 5 5 5 5\n2 2 2 2 5 5 5 5 5 5\n2 2 2 2 5 5 5 5 5 5\n2 2 2 2 5 5 5 5 5 5\n", "answer": "5 5 5 5 5 5 2 2 2 2\n5 9 9 9 9 5 2 2 2 2\n5 5 5 5 5 5 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n2 2 2 2 5 5 5 5 5 5\n2 2 2 2 5 6 6 6 6 5\n2 2 2 2 5 6 6 6 6 5\n2 2 2 2 5 6 6 6 6 5\n2 2 2 2 5 6 6 6 6 5\n2 2 2 2 5 5 5 5 5 5", "metadata": {"source_dataset": "arc_agi", "source_index": 44, "input": [[5, 5, 5, 5, 5, 5, 2, 2, 2, 2], [5, 5, 5, 5, 5, 5, 2, 2, 2, 2], [5, 5, 5, 5, 5, 5, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 5, 5, 5, 5, 5, 5]], "output": [[5, 5, 5, 5, 5, 5, 2, 2, 2, 2], [5, 9, 9, 9, 9, 5, 2, 2, 2, 2], [5, 5, 5, 5, 5, 5, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 5, 6, 6, 6, 6, 5], [2, 2, 2, 2, 5, 6, 6, 6, 6, 5], [2, 2, 2, 2, 5, 6, 6, 6, 6, 5], [2, 2, 2, 2, 5, 6, 6, 6, 6, 5], [2, 2, 2, 2, 5, 5, 5, 5, 5, 5]], "task_id": "694f12f3", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}	{"source_dataset": "arc_agi", "source_index": 44, "input": [[5, 5, 5, 5, 5, 5, 2, 2, 2, 2], [5, 5, 5, 5, 5, 5, 2, 2, 2, 2], [5, 5, 5, 5, 5, 5, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 5, 5, 5, 5, 5, 5]], "output": [[5, 5, 5, 5, 5, 5, 2, 2, 2, 2], [5, 9, 9, 9, 9, 5, 2, 2, 2, 2], [5, 5, 5, 5, 5, 5, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 5, 6, 6, 6, 6, 5], [2, 2, 2, 2, 5, 6, 6, 6, 6, 5], [2, 2, 2, 2, 5, 6, 6, 6, 6, 5], [2, 2, 2, 2, 5, 6, 6, 6, 6, 5], [2, 2, 2, 2, 5, 5, 5, 5, 5, 5]], "task_id": "694f12f3", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 1 1 1 1 1 0 1 0 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 0 1 1 1 1 0 1 1 0 1 1 1 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 0 1 1 1 1 1 1 1 1 1 Output: 1 1 1 1 1 0 1 0 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 7 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 0 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 1 1 1 7 7 1 1 1 1 1 1 1 1 1 1 1 1 7 7 1 0 1 1 1 7 1 1 0 1 1 1 1 1 1 1 1 1 7 7 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 7 7 1 1 1 1 0 1 1 7 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 Example 2: Input: 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 0 1 0 1 0 0 0 0 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 1 0 1 1 0 1 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 0 1 0 0 1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 0 1 0 1 1 0 1 0 1 0 1 1 1 0 1 1 1 1 1 0 1 0 1 1 0 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0 1 1 1 1 1 Output: 1 1 1 1 1 1 1 1 1 7 7 1 1 1 1 0 1 0 1 7 7 7 7 1 1 0 1 0 1 7 1 1 7 7 1 1 1 1 1 7 1 1 7 1 0 1 1 0 1 1 1 1 7 1 1 1 1 1 1 1 1 1 0 1 0 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 0 1 7 7 1 0 1 1 1 1 1 1 0 1 1 1 7 1 1 1 7 7 1 0 1 1 0 1 0 1 0 1 1 1 7 1 1 1 1 1 7 1 0 1 1 0 1 1 1 1 1 1 7 7 1 1 1 1 1 1 1 0 1 1 1 1 1 Example 3: Input: 1 1 1 1 1 0 0 1 1 0 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 0 1 1 1 1 0 0 0 1 1 1 0 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 1 0 1 1 0 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 0 1 1 1 0 0 1 1 1 1 1 0 1 1 1 0 0 1 1 0 1 1 1 1 1 0 0 1 1 1 1 Output: 1 1 1 1 1 7 7 1 1 0 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7 7 1 1 1 1 1 1 0 1 1 1 1 7 7 7 1 1 1 0 1 1 1 0 1 1 7 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 7 1 1 1 7 7 1 0 1 1 0 1 1 7 1 1 1 1 1 1 1 1 7 1 1 1 1 0 1 1 1 1 1 1 1 7 1 1 0 1 1 1 0 0 1 1 1 1 1 0 1 1 1 7 7 1 1 0 1 1 1 1 1 7 7 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 0 1 0 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 0 0 1 0 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 0 1 0 0 1 0 1 0 1 0 0 1 1 0 0 0 1 1 1 0 1 1 0 1 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 1 0 1 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 1 0 1 0 1 1 1 0 1 0 1 1 0 1 0 0 0 0 0 1 0 0 1 0 1 1 1 1 1 1 1 1 1 1 0 0 1 1 0 0 0 0 1 1 0 1	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 0 1 0 1 1 1 1 1 1 0 1 1\n1 1 1 1 1 7 7 7 1 0 1 1 1\n1 1 7 1 1 1 7 1 1 1 1 1 1\n7 1 7 7 1 0 1 0 1 7 7 1 1\n7 7 7 1 1 1 0 1 1 7 1 0 1\n1 1 1 1 0 1 1 1 1 1 1 1 1\n1 1 1 1 1 7 7 1 0 1 1 1 0\n1 1 0 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 7 1 1 0 1 0\n1 1 1 0 1 1 1 7 1 7 1 1 1\n7 1 0 1 1 0 1 7 7 7 7 7 1\n7 7 1 0 1 1 1 1 1 1 1 1 1\n1 7 7 1 1 7 7 7 7 1 1 0 1", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n1 1 1 1 1 0 1 0 1 1 1 0 1\n1 0 1 1 1 1 1 1 1 1 0 1 1\n0 1 1 1 0 1 1 1 1 1 1 1 1\n1 1 1 1 0 1 1 0 1 1 1 1 1\n1 1 1 0 1 1 1 1 1 1 1 1 1\n1 1 0 0 1 1 1 1 1 1 1 1 1\n1 1 1 0 0 1 0 1 1 1 0 1 1\n0 1 1 1 1 1 1 1 1 1 0 0 1\n1 1 1 1 1 1 1 0 1 1 1 1 1\n1 1 1 0 0 1 1 1 1 0 1 1 0\n1 1 1 1 1 1 1 1 1 1 1 1 0\n1 1 1 1 1 1 1 1 1 0 1 1 1\n1 1 1 0 1 1 1 1 1 1 1 1 1\nOutput:\n1 1 1 1 1 0 1 0 1 1 1 0 1\n1 0 1 1 1 1 1 1 1 1 0 1 1\n0 1 1 1 7 1 1 1 1 1 1 1 1\n1 1 1 1 7 1 1 0 1 1 1 1 1\n1 1 1 7 1 1 1 1 1 1 1 1 1\n1 1 7 7 1 1 1 1 1 1 1 1 1\n1 1 1 7 7 1 0 1 1 1 7 1 1\n0 1 1 1 1 1 1 1 1 1 7 7 1\n1 1 1 1 1 1 1 0 1 1 1 1 1\n1 1 1 7 7 1 1 1 1 0 1 1 7\n1 1 1 1 1 1 1 1 1 1 1 1 7\n1 1 1 1 1 1 1 1 1 0 1 1 1\n1 1 1 0 1 1 1 1 1 1 1 1 1\n\nExample 2:\n\nInput:\n1 1 1 1 1 1 1 1 1 0 0 1 1\n1 1 0 1 0 1 0 0 0 0 1 1 0\n1 0 1 0 1 1 0 0 1 1 1 1 1\n0 1 1 0 1 0 1 1 0 1 1 1 1\n0 1 1 1 1 1 1 1 1 1 0 1 0\n1 1 1 0 1 1 1 0 1 1 1 0 1\n1 1 1 1 1 1 0 1 1 1 1 1 1\n1 1 1 1 1 0 1 1 1 0 1 0 1\n0 0 1 0 1 1 1 1 1 1 0 1 1\n1 0 1 1 1 0 0 1 0 1 1 0 1\n0 1 0 1 1 1 0 1 1 1 1 1 0\n1 0 1 1 0 1 1 1 1 1 1 0 0\n1 1 1 1 1 1 1 0 1 1 1 1 1\nOutput:\n1 1 1 1 1 1 1 1 1 7 7 1 1\n1 1 0 1 0 1 7 7 7 7 1 1 0\n1 0 1 7 1 1 7 7 1 1 1 1 1\n7 1 1 7 1 0 1 1 0 1 1 1 1\n7 1 1 1 1 1 1 1 1 1 0 1 0\n1 1 1 0 1 1 1 0 1 1 1 0 1\n1 1 1 1 1 1 0 1 1 1 1 1 1\n1 1 1 1 1 0 1 1 1 0 1 0 1\n7 7 1 0 1 1 1 1 1 1 0 1 1\n1 7 1 1 1 7 7 1 0 1 1 0 1\n0 1 0 1 1 1 7 1 1 1 1 1 7\n1 0 1 1 0 1 1 1 1 1 1 7 7\n1 1 1 1 1 1 1 0 1 1 1 1 1\n\nExample 3:\n\nInput:\n1 1 1 1 1 0 0 1 1 0 1 1 0\n1 1 1 0 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 0 0 1 1 1 1 1\n1 0 1 1 1 1 0 0 0 1 1 1 0\n1 1 1 0 1 1 0 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 0 1\n1 1 1 1 1 1 1 1 1 0 1 1 1\n0 0 1 0 1 1 0 1 1 0 1 1 1\n1 1 1 1 1 0 1 1 1 1 0 1 1\n1 1 1 1 1 0 1 1 0 1 1 1 0\n0 1 1 1 1 1 0 1 1 1 0 0 1\n1 0 1 1 1 1 1 0 0 1 1 1 1\nOutput:\n1 1 1 1 1 7 7 1 1 0 1 1 0\n1 1 1 0 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 7 7 1 1 1 1 1\n1 0 1 1 1 1 7 7 7 1 1 1 0\n1 1 1 0 1 1 7 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 0 1\n1 1 1 1 1 1 1 1 1 7 1 1 1\n7 7 1 0 1 1 0 1 1 7 1 1 1\n1 1 1 1 1 7 1 1 1 1 0 1 1\n1 1 1 1 1 7 1 1 0 1 1 1 0\n0 1 1 1 1 1 0 1 1 1 7 7 1\n1 0 1 1 1 1 1 7 7 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 0 1 0 1 1 1 1 1 1 0 1 1\n1 1 1 1 1 0 0 0 1 0 1 1 1\n1 1 0 1 1 1 0 1 1 1 1 1 1\n0 1 0 0 1 0 1 0 1 0 0 1 1\n0 0 0 1 1 1 0 1 1 0 1 0 1\n1 1 1 1 0 1 1 1 1 1 1 1 1\n1 1 1 1 1 0 0 1 0 1 1 1 0\n1 1 0 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 0 1 1 0 1 0\n1 1 1 0 1 1 1 0 1 0 1 1 1\n0 1 0 1 1 0 1 0 0 0 0 0 1\n0 0 1 0 1 1 1 1 1 1 1 1 1\n1 0 0 1 1 0 0 0 0 1 1 0 1\n", "answer": "1 0 1 0 1 1 1 1 1 1 0 1 1\n1 1 1 1 1 7 7 7 1 0 1 1 1\n1 1 7 1 1 1 7 1 1 1 1 1 1\n7 1 7 7 1 0 1 0 1 7 7 1 1\n7 7 7 1 1 1 0 1 1 7 1 0 1\n1 1 1 1 0 1 1 1 1 1 1 1 1\n1 1 1 1 1 7 7 1 0 1 1 1 0\n1 1 0 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 7 1 1 0 1 0\n1 1 1 0 1 1 1 7 1 7 1 1 1\n7 1 0 1 1 0 1 7 7 7 7 7 1\n7 7 1 0 1 1 1 1 1 1 1 1 1\n1 7 7 1 1 7 7 7 7 1 1 0 1", "metadata": {"source_dataset": "arc_agi", "source_index": 45, "input": [[1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1], [1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1], [0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0], [1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0], [1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1], [0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1], [0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1]], "output": [[1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1], [1, 1, 1, 1, 1, 7, 7, 7, 1, 0, 1, 1, 1], [1, 1, 7, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1], [7, 1, 7, 7, 1, 0, 1, 0, 1, 7, 7, 1, 1], [7, 7, 7, 1, 1, 1, 0, 1, 1, 7, 1, 0, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 7, 7, 1, 0, 1, 1, 1, 0], [1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 0, 1, 0], [1, 1, 1, 0, 1, 1, 1, 7, 1, 7, 1, 1, 1], [7, 1, 0, 1, 1, 0, 1, 7, 7, 7, 7, 7, 1], [7, 7, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 7, 7, 1, 1, 7, 7, 7, 7, 1, 1, 0, 1]], "task_id": "e0fb7511", "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": 45, "input": [[1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1], [1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1], [1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1], [0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1], [0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0], [1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0], [1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1], [0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1], [0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1]], "output": [[1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1], [1, 1, 1, 1, 1, 7, 7, 7, 1, 0, 1, 1, 1], [1, 1, 7, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1], [7, 1, 7, 7, 1, 0, 1, 0, 1, 7, 7, 1, 1], [7, 7, 7, 1, 1, 1, 0, 1, 1, 7, 1, 0, 1], [1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 7, 7, 1, 0, 1, 1, 1, 0], [1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 0, 1, 0], [1, 1, 1, 0, 1, 1, 1, 7, 1, 7, 1, 1, 1], [7, 1, 0, 1, 1, 0, 1, 7, 7, 7, 7, 7, 1], [7, 7, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 7, 7, 1, 1, 7, 7, 7, 7, 1, 1, 0, 1]], "task_id": "e0fb7511", "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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 6 6 6 6 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 5 5 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 6 6 6 6 6 6 6 5 5 5 5 6 6 5 8 8 5 6 6 5 8 8 5 6 6 5 5 5 5 6 6 6 6 6 6 6 Example 2: Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 2 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 7 7 7 7 7 7 5 5 5 7 7 5 2 5 7 7 5 5 5 7 7 7 7 7 7 Example 3: Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 2 2 2 2 2 2 2 2 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 4 4 4 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 2 2 2 2 2 2 2 2 2 5 5 5 5 5 5 2 2 5 4 4 4 4 5 2 2 5 4 0 0 4 5 2 2 5 4 0 0 4 5 2 2 5 4 4 4 4 5 2 2 5 5 5 5 5 5 2 2 2 2 2 2 2 2 2 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 2 2 2 2 2 2 2 9 9 9 0 0 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 2 2 2 2 2 2\n2 8 8 8 8 8 2\n2 8 0 0 0 8 2\n2 8 0 5 0 8 2\n2 8 0 0 0 8 2\n2 8 8 8 8 8 2\n2 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:\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 6 6 6 6 6 6 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 5 5 5 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\nOutput:\n6 6 6 6 6 6\n6 5 5 5 5 6\n6 5 8 8 5 6\n6 5 8 8 5 6\n6 5 5 5 5 6\n6 6 6 6 6 6\n\nExample 2:\n\nInput:\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 2 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\nOutput:\n7 7 7 7 7\n7 5 5 5 7\n7 5 2 5 7\n7 5 5 5 7\n7 7 7 7 7\n\nExample 3:\n\nInput:\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 2 2 2 2 2 2 2 2\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 5 9 9 4 4 4 4 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\nOutput:\n2 2 2 2 2 2 2 2\n2 5 5 5 5 5 5 2\n2 5 4 4 4 4 5 2\n2 5 4 0 0 4 5 2\n2 5 4 0 0 4 5 2\n2 5 4 4 4 4 5 2\n2 5 5 5 5 5 5 2\n2 2 2 2 2 2 2 2\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 2 2 2 2 2 2 2 9 9 9 0 0 0 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 5 9 9 9 9\n9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n", "answer": "2 2 2 2 2 2 2\n2 8 8 8 8 8 2\n2 8 0 0 0 8 2\n2 8 0 5 0 8 2\n2 8 0 0 0 8 2\n2 8 8 8 8 8 2\n2 2 2 2 2 2 2", "metadata": {"source_dataset": "arc_agi", "source_index": 46, "input": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 2, 2, 2, 2, 2, 2, 2, 9, 9, 9, 0, 0, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[2, 2, 2, 2, 2, 2, 2], [2, 8, 8, 8, 8, 8, 2], [2, 8, 0, 0, 0, 8, 2], [2, 8, 0, 5, 0, 8, 2], [2, 8, 0, 0, 0, 8, 2], [2, 8, 8, 8, 8, 8, 2], [2, 2, 2, 2, 2, 2, 2]], "task_id": "3ee1011a", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}	{"source_dataset": "arc_agi", "source_index": 46, "input": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 2, 2, 2, 2, 2, 2, 2, 9, 9, 9, 0, 0, 0, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[2, 2, 2, 2, 2, 2, 2], [2, 8, 8, 8, 8, 8, 2], [2, 8, 0, 0, 0, 8, 2], [2, 8, 0, 5, 0, 8, 2], [2, 8, 0, 0, 0, 8, 2], [2, 8, 8, 8, 8, 8, 2], [2, 2, 2, 2, 2, 2, 2]], "task_id": "3ee1011a", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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 9 5 5 5 5 5 9 5 5 5 5 5 5 9 9 9 9 9 9 9 5 9 9 9 9 5 9 5 5 5 9 5 5 9 5 5 9 5 5 9 5 9 5 5 9 5 5 5 5 9 9 9 9 9 5 9 9 5 5 9 5 5 9 5 5 9 9 9 5 5 5 5 9 5 5 9 9 5 5 Output: 5 9 5 5 5 5 5 9 5 5 5 5 5 5 7 7 9 9 7 7 9 5 7 7 9 9 5 9 5 5 5 9 5 5 9 5 5 9 5 5 9 5 9 5 5 9 5 5 5 5 9 9 9 9 9 5 9 9 5 5 9 5 5 9 5 5 9 9 9 5 5 5 5 9 5 5 9 9 5 5 Example 2: Input: 5 9 9 9 9 9 9 9 9 9 9 9 5 5 9 9 5 9 5 9 5 9 9 9 5 9 9 5 5 5 9 5 5 9 9 5 5 5 9 5 9 9 5 5 9 5 9 9 5 9 9 9 5 5 5 9 9 9 5 5 9 9 9 9 9 5 9 9 5 5 9 5 9 9 9 9 9 5 5 9 Output: 5 7 7 7 9 7 7 7 9 7 7 7 5 5 9 9 5 9 5 9 5 9 9 9 5 9 9 5 5 5 9 5 5 9 9 5 5 5 9 5 9 9 5 5 9 5 9 9 5 9 9 9 5 5 5 9 9 9 5 5 9 9 9 9 9 5 9 9 5 5 9 5 9 9 9 9 9 5 5 9 Example 3: Input: 9 5 9 9 5 5 9 5 9 5 5 9 9 5 9 9 9 9 5 5 5 5 9 9 9 5 9 9 5 5 5 5 9 9 9 5 9 9 5 9 9 9 9 9 9 5 5 9 5 5 9 9 5 9 5 9 9 5 5 9 5 5 9 9 5 9 5 5 9 9 9 1 5 9 5 9 9 5 9 5 5 9 9 5 5 5 5 5 9 1 Output: 9 5 9 9 5 5 9 5 9 5 5 9 9 5 9 9 9 9 5 5 5 5 9 9 9 5 9 9 5 5 5 5 9 7 7 5 7 7 5 7 7 9 7 7 9 5 5 9 5 5 9 9 5 9 5 9 9 5 5 9 5 5 9 9 5 9 5 5 9 9 9 1 5 9 5 9 9 5 9 5 5 9 9 5 5 5 5 5 9 1 Example 4: Input: 9 5 9 9 9 5 9 9 9 5 5 9 5 9 9 5 9 9 5 9 5 5 5 9 5 9 9 9 9 9 9 9 9 9 9 9 5 5 9 5 Output: 9 5 9 9 9 5 9 9 9 5 5 9 5 9 9 5 9 9 5 9 5 5 5 9 5 9 7 7 7 7 7 7 7 7 7 7 5 5 9 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 5 5 9 9 9 5 5 5 9 5 5 9 9 5 5 5 5 9 5 5 5 9 5 9 9 5 9 9 5 5 5 9 5 9 5 9 9 9 9 5 5 9 5 9 5 5 5 9 5 9 9 9 5 5 9 9 5 5 9 9 9 9 9 5 9 5 5 9 9 5 5 5 9 5 5 9 9 9 5 5 5 9 9 9 5 9 9 9 9 9 9 9 9 9 5 9	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 5 9 9\n9 5 5 5\n9 5 5 9\n9 5 5 5\n5 9 5 5\n5 9 5 9\n9 5 9 9\n5 5 5 9\n5 9 5 9\n9 9 9 5\n5 9 5 9\n5 5 5 9\n5 9 9 9\n5 5 9 9\n5 5 9 9\n9 9 9 5\n9 5 5 9\n9 5 5 5\n9 5 5 9\n9 9 5 5\n5 7 7 7\n5 7 7 7\n9 7 7 7\n9 9 5 9", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n5 9 5 5\n5 5 5 9\n5 5 5 5\n5 5 9 9\n9 9 9 9\n9 5 9 9\n9 9 5 9\n5 5 5 9\n5 5 9 5\n5 9 5 5\n9 5 9 5\n5 9 5 5\n5 5 9 9\n9 9 9 5\n9 9 5 5\n9 5 5 9\n5 5 9 9\n9 5 5 5\n5 9 5 5\n9 9 5 5\nOutput:\n5 9 5 5\n5 5 5 9\n5 5 5 5\n5 5 7 7\n9 9 7 7\n9 5 7 7\n9 9 5 9\n5 5 5 9\n5 5 9 5\n5 9 5 5\n9 5 9 5\n5 9 5 5\n5 5 9 9\n9 9 9 5\n9 9 5 5\n9 5 5 9\n5 5 9 9\n9 5 5 5\n5 9 5 5\n9 9 5 5\n\nExample 2:\n\nInput:\n5 9 9 9\n9 9 9 9\n9 9 9 9\n5 5 9 9\n5 9 5 9\n5 9 9 9\n5 9 9 5\n5 5 9 5\n5 9 9 5\n5 5 9 5\n9 9 5 5\n9 5 9 9\n5 9 9 9\n5 5 5 9\n9 9 5 5\n9 9 9 9\n9 5 9 9\n5 5 9 5\n9 9 9 9\n9 5 5 9\nOutput:\n5 7 7 7\n9 7 7 7\n9 7 7 7\n5 5 9 9\n5 9 5 9\n5 9 9 9\n5 9 9 5\n5 5 9 5\n5 9 9 5\n5 5 9 5\n9 9 5 5\n9 5 9 9\n5 9 9 9\n5 5 5 9\n9 9 5 5\n9 9 9 9\n9 5 9 9\n5 5 9 5\n9 9 9 9\n9 5 5 9\n\nExample 3:\n\nInput:\n9 5 9\n9 5 5\n9 5 9\n5 5 9\n9 5 9\n9 9 9\n5 5 5\n5 9 9\n9 5 9\n9 5 5\n5 5 9\n9 9 5\n9 9 5\n9 9 9\n9 9 9\n5 5 9\n5 5 9\n9 5 9\n5 9 9\n5 5 9\n5 5 9\n9 5 9\n5 5 9\n9 9 1\n5 9 5\n9 9 5\n9 5 5\n9 9 5\n5 5 5\n5 9 1\nOutput:\n9 5 9\n9 5 5\n9 5 9\n5 5 9\n9 5 9\n9 9 9\n5 5 5\n5 9 9\n9 5 9\n9 5 5\n5 5 9\n7 7 5\n7 7 5\n7 7 9\n7 7 9\n5 5 9\n5 5 9\n9 5 9\n5 9 9\n5 5 9\n5 5 9\n9 5 9\n5 5 9\n9 9 1\n5 9 5\n9 9 5\n9 5 5\n9 9 5\n5 5 5\n5 9 1\n\nExample 4:\n\nInput:\n9 5\n9 9\n9 5\n9 9\n9 5\n5 9\n5 9\n9 5\n9 9\n5 9\n5 5\n5 9\n5 9\n9 9\n9 9\n9 9\n9 9\n9 9\n5 5\n9 5\nOutput:\n9 5\n9 9\n9 5\n9 9\n9 5\n5 9\n5 9\n9 5\n9 9\n5 9\n5 5\n5 9\n5 9\n7 7\n7 7\n7 7\n7 7\n7 7\n5 5\n9 5\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n5 5 9 9\n9 5 5 5\n9 5 5 9\n9 5 5 5\n5 9 5 5\n5 9 5 9\n9 5 9 9\n5 5 5 9\n5 9 5 9\n9 9 9 5\n5 9 5 9\n5 5 5 9\n5 9 9 9\n5 5 9 9\n5 5 9 9\n9 9 9 5\n9 5 5 9\n9 5 5 5\n9 5 5 9\n9 9 5 5\n5 9 9 9\n5 9 9 9\n9 9 9 9\n9 9 5 9\n", "answer": "5 5 9 9\n9 5 5 5\n9 5 5 9\n9 5 5 5\n5 9 5 5\n5 9 5 9\n9 5 9 9\n5 5 5 9\n5 9 5 9\n9 9 9 5\n5 9 5 9\n5 5 5 9\n5 9 9 9\n5 5 9 9\n5 5 9 9\n9 9 9 5\n9 5 5 9\n9 5 5 5\n9 5 5 9\n9 9 5 5\n5 7 7 7\n5 7 7 7\n9 7 7 7\n9 9 5 9", "metadata": {"source_dataset": "arc_agi", "source_index": 47, "input": [[5, 5, 9, 9], [9, 5, 5, 5], [9, 5, 5, 9], [9, 5, 5, 5], [5, 9, 5, 5], [5, 9, 5, 9], [9, 5, 9, 9], [5, 5, 5, 9], [5, 9, 5, 9], [9, 9, 9, 5], [5, 9, 5, 9], [5, 5, 5, 9], [5, 9, 9, 9], [5, 5, 9, 9], [5, 5, 9, 9], [9, 9, 9, 5], [9, 5, 5, 9], [9, 5, 5, 5], [9, 5, 5, 9], [9, 9, 5, 5], [5, 9, 9, 9], [5, 9, 9, 9], [9, 9, 9, 9], [9, 9, 5, 9]], "output": [[5, 5, 9, 9], [9, 5, 5, 5], [9, 5, 5, 9], [9, 5, 5, 5], [5, 9, 5, 5], [5, 9, 5, 9], [9, 5, 9, 9], [5, 5, 5, 9], [5, 9, 5, 9], [9, 9, 9, 5], [5, 9, 5, 9], [5, 5, 5, 9], [5, 9, 9, 9], [5, 5, 9, 9], [5, 5, 9, 9], [9, 9, 9, 5], [9, 5, 5, 9], [9, 5, 5, 5], [9, 5, 5, 9], [9, 9, 5, 5], [5, 7, 7, 7], [5, 7, 7, 7], [9, 7, 7, 7], [9, 9, 5, 9]], "task_id": "3eda0437", "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": 47, "input": [[5, 5, 9, 9], [9, 5, 5, 5], [9, 5, 5, 9], [9, 5, 5, 5], [5, 9, 5, 5], [5, 9, 5, 9], [9, 5, 9, 9], [5, 5, 5, 9], [5, 9, 5, 9], [9, 9, 9, 5], [5, 9, 5, 9], [5, 5, 5, 9], [5, 9, 9, 9], [5, 5, 9, 9], [5, 5, 9, 9], [9, 9, 9, 5], [9, 5, 5, 9], [9, 5, 5, 5], [9, 5, 5, 9], [9, 9, 5, 5], [5, 9, 9, 9], [5, 9, 9, 9], [9, 9, 9, 9], [9, 9, 5, 9]], "output": [[5, 5, 9, 9], [9, 5, 5, 5], [9, 5, 5, 9], [9, 5, 5, 5], [5, 9, 5, 5], [5, 9, 5, 9], [9, 5, 9, 9], [5, 5, 5, 9], [5, 9, 5, 9], [9, 9, 9, 5], [5, 9, 5, 9], [5, 5, 5, 9], [5, 9, 9, 9], [5, 5, 9, 9], [5, 5, 9, 9], [9, 9, 9, 5], [9, 5, 5, 9], [9, 5, 5, 5], [9, 5, 5, 9], [9, 9, 5, 5], [5, 7, 7, 7], [5, 7, 7, 7], [9, 7, 7, 7], [9, 9, 5, 9]], "task_id": "3eda0437", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 1 1 3 3 1 3 1 3 3 1 1 1 Output: 3 3 1 1 1 1 3 3 3 1 3 1 1 3 1 3 1 1 1 3 3 1 1 1 1 1 1 3 3 1 1 1 3 1 3 1 1 3 1 3 3 3 1 1 1 1 3 3 Example 2: Input: 1 1 1 1 3 3 3 1 3 3 3 1 Output: 1 1 1 1 1 1 1 1 1 3 3 3 3 3 3 1 1 3 3 3 3 3 3 1 1 3 3 3 3 3 3 1 1 3 3 3 3 3 3 1 1 1 1 1 1 1 1 1 Example 3: Input: 3 9 3 3 9 3 9 3 3 9 3 3 Output: 3 3 9 3 3 9 3 3 3 9 3 9 9 3 9 3 3 3 9 3 3 9 3 3 3 3 9 3 3 9 3 3 3 9 3 9 9 3 9 3 3 3 9 3 3 9 3 3 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 3 3 3 7 7 3 3 3 3 3 7 7	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 3 3 3 3 3 3 7\n3 3 3 7 7 3 3 3\n7 7 3 3 3 3 7 7\n7 7 3 3 3 3 7 7\n3 3 3 7 7 3 3 3\n7 3 3 3 3 3 3 7", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n1 1 3 3\n1 3 1 3\n3 1 1 1\nOutput:\n3 3 1 1 1 1 3 3\n3 1 3 1 1 3 1 3\n1 1 1 3 3 1 1 1\n1 1 1 3 3 1 1 1\n3 1 3 1 1 3 1 3\n3 3 1 1 1 1 3 3\n\nExample 2:\n\nInput:\n1 1 1 1\n3 3 3 1\n3 3 3 1\nOutput:\n1 1 1 1 1 1 1 1\n1 3 3 3 3 3 3 1\n1 3 3 3 3 3 3 1\n1 3 3 3 3 3 3 1\n1 3 3 3 3 3 3 1\n1 1 1 1 1 1 1 1\n\nExample 3:\n\nInput:\n3 9 3 3\n9 3 9 3\n3 9 3 3\nOutput:\n3 3 9 3 3 9 3 3\n3 9 3 9 9 3 9 3\n3 3 9 3 3 9 3 3\n3 3 9 3 3 9 3 3\n3 9 3 9 9 3 9 3\n3 3 9 3 3 9 3 3\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n3 3 3 7\n7 3 3 3\n3 3 7 7\n", "answer": "7 3 3 3 3 3 3 7\n3 3 3 7 7 3 3 3\n7 7 3 3 3 3 7 7\n7 7 3 3 3 3 7 7\n3 3 3 7 7 3 3 3\n7 3 3 3 3 3 3 7", "metadata": {"source_dataset": "arc_agi", "source_index": 48, "input": [[3, 3, 3, 7], [7, 3, 3, 3], [3, 3, 7, 7]], "output": [[7, 3, 3, 3, 3, 3, 3, 7], [3, 3, 3, 7, 7, 3, 3, 3], [7, 7, 3, 3, 3, 3, 7, 7], [7, 7, 3, 3, 3, 3, 7, 7], [3, 3, 3, 7, 7, 3, 3, 3], [7, 3, 3, 3, 3, 3, 3, 7]], "task_id": "3af2c5a8", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}	{"source_dataset": "arc_agi", "source_index": 48, "input": [[3, 3, 3, 7], [7, 3, 3, 3], [3, 3, 7, 7]], "output": [[7, 3, 3, 3, 3, 3, 3, 7], [3, 3, 3, 7, 7, 3, 3, 3], [7, 7, 3, 3, 3, 3, 7, 7], [7, 7, 3, 3, 3, 3, 7, 7], [3, 3, 3, 7, 7, 3, 3, 3], [7, 3, 3, 3, 3, 3, 3, 7]], "task_id": "3af2c5a8", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Output: 7 7 7 0 7 7 7 7 7 7 7 7 7 7 7 0 7 7 7 7 7 7 7 7 0 0 0 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 9 9 9 9 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 6 6 6 6 7 7 7 7 9 7 7 7 6 7 7 7 7 7 7 7 9 7 7 7 6 7 7 7 Example 2: Input: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Output: 7 7 0 7 7 7 7 7 7 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 0 0 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1 1 7 7 7 7 7 7 7 7 7 7 1 7 7 7 7 7 7 7 7 7 7 7 1 7 Example 3: Input: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Output: 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1 1 1 1 1 7 7 7 7 7 7 7 7 7 7 7 7 7 1 7 7 7 7 7 7 7 7 7 7 7 7 7 1 7 7 7 7 7 7 7 7 7 7 7 7 7 1 7 7 7 7 7 7 7 7 7 7 7 7 7 1 7 7 7 7 7 7 7 7 7 7 7 7 7 1 7 7 7 7 7 7 7 7 7 Example 4: Input: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Output: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 4 4 4 4 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 7 0 7 7 7 5 7 7 7 7\n7 7 0 7 7 7 5 7 7 7 7\n7 7 0 7 7 7 5 7 7 7 7\n7 7 0 7 7 7 5 7 7 7 7\n0 0 0 7 7 7 5 7 7 7 7\n7 7 7 7 7 7 5 5 5 5 5\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 6 6 6 6\n7 7 7 7 7 7 7 6 7 7 7\n1 1 7 7 7 7 7 6 7 7 7\n7 1 7 7 7 7 7 6 7 7 7\n7 1 7 7 7 7 7 6 7 7 7", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 0 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 9 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 6 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\nOutput:\n7 7 7 0 7 7 7 7 7 7 7 7\n7 7 7 0 7 7 7 7 7 7 7 7\n0 0 0 0 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n9 9 9 9 9 7 7 7 7 7 7 7\n7 7 7 7 9 7 7 7 6 6 6 6\n7 7 7 7 9 7 7 7 6 7 7 7\n7 7 7 7 9 7 7 7 6 7 7 7\n\nExample 2:\n\nInput:\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 0 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 1 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\nOutput:\n7 7 0 7 7 7 7 7 7 7 7 7\n7 7 0 7 7 7 7 7 7 7 7 7\n7 7 0 7 7 7 7 7 7 7 7 7\n0 0 0 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 1 1\n7 7 7 7 7 7 7 7 7 7 1 7\n7 7 7 7 7 7 7 7 7 7 1 7\n\nExample 3:\n\nInput:\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 6 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 1 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\nOutput:\n7 7 7 7 7 7 7 7 7 7 7 6 7 7\n7 7 7 7 7 7 7 7 7 7 7 6 7 7\n7 7 7 7 7 7 7 7 7 7 7 6 7 7\n7 7 7 7 7 7 7 7 7 7 7 6 7 7\n7 7 7 7 7 7 7 7 7 7 7 6 7 7\n7 7 7 7 7 7 7 7 7 7 7 6 6 6\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7\n1 1 1 1 1 7 7 7 7 7 7 7 7 7\n7 7 7 7 1 7 7 7 7 7 7 7 7 7\n7 7 7 7 1 7 7 7 7 7 7 7 7 7\n7 7 7 7 1 7 7 7 7 7 7 7 7 7\n7 7 7 7 1 7 7 7 7 7 7 7 7 7\n7 7 7 7 1 7 7 7 7 7 7 7 7 7\n\nExample 4:\n\nInput:\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 4 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\nOutput:\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n4 4 4 4 4 7 7 7 7 7 7\n7 7 7 7 4 7 7 7 7 7 7\n7 7 7 7 4 7 7 7 7 7 7\n7 7 7 7 4 7 7 7 7 7 7\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 0 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 5 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 6 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 1 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n", "answer": "7 7 0 7 7 7 5 7 7 7 7\n7 7 0 7 7 7 5 7 7 7 7\n7 7 0 7 7 7 5 7 7 7 7\n7 7 0 7 7 7 5 7 7 7 7\n0 0 0 7 7 7 5 7 7 7 7\n7 7 7 7 7 7 5 5 5 5 5\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 6 6 6 6\n7 7 7 7 7 7 7 6 7 7 7\n1 1 7 7 7 7 7 6 7 7 7\n7 1 7 7 7 7 7 6 7 7 7\n7 1 7 7 7 7 7 6 7 7 7", "metadata": {"source_dataset": "arc_agi", "source_index": 49, "input": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "output": [[7, 7, 0, 7, 7, 7, 5, 7, 7, 7, 7], [7, 7, 0, 7, 7, 7, 5, 7, 7, 7, 7], [7, 7, 0, 7, 7, 7, 5, 7, 7, 7, 7], [7, 7, 0, 7, 7, 7, 5, 7, 7, 7, 7], [0, 0, 0, 7, 7, 7, 5, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7], [1, 1, 7, 7, 7, 7, 7, 6, 7, 7, 7], [7, 1, 7, 7, 7, 7, 7, 6, 7, 7, 7], [7, 1, 7, 7, 7, 7, 7, 6, 7, 7, 7]], "task_id": "705a3229", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}	{"source_dataset": "arc_agi", "source_index": 49, "input": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "output": [[7, 7, 0, 7, 7, 7, 5, 7, 7, 7, 7], [7, 7, 0, 7, 7, 7, 5, 7, 7, 7, 7], [7, 7, 0, 7, 7, 7, 5, 7, 7, 7, 7], [7, 7, 0, 7, 7, 7, 5, 7, 7, 7, 7], [0, 0, 0, 7, 7, 7, 5, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7], [1, 1, 7, 7, 7, 7, 7, 6, 7, 7, 7], [7, 1, 7, 7, 7, 7, 7, 6, 7, 7, 7], [7, 1, 7, 7, 7, 7, 7, 6, 7, 7, 7]], "task_id": "705a3229", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 7 7 7 5 7 7 7 7 7 7 6 7 7 7 7 7 7 7 5 7 7 7 7 7 7 6 7 7 7 7 7 7 7 5 7 7 7 7 7 7 6 7 7 6 7 5 7 7 5 7 7 7 7 7 7 6 7 7 7 7 7 7 7 5 7 7 7 7 7 7 6 7 7 7 7 7 7 7 5 7 7 7 7 7 7 6 7 7 7 7 7 7 7 5 7 7 7 5 7 7 6 7 7 7 7 7 7 7 5 7 7 7 7 7 7 6 7 7 7 7 7 7 7 5 7 7 7 7 7 7 6 7 7 7 7 7 8 7 5 7 7 7 7 7 7 6 7 7 7 7 7 7 7 5 7 6 7 7 7 7 6 7 7 5 7 7 7 7 5 7 7 7 7 7 7 6 7 7 7 7 7 7 7 5 7 7 7 7 7 7 6 7 7 7 7 7 7 7 5 7 7 7 7 7 7 6 7 7 7 7 Output: 7 7 7 5 7 7 7 7 7 7 6 7 7 7 7 7 7 7 5 7 7 7 7 7 7 6 7 7 7 7 7 7 7 5 7 7 7 7 7 7 6 6 7 7 7 7 7 5 5 7 7 7 7 7 7 6 7 7 7 7 7 7 7 5 7 7 7 7 7 7 6 7 7 7 7 7 7 7 5 7 7 7 7 7 7 6 7 7 7 7 7 7 7 5 5 7 7 7 7 7 6 7 7 7 7 7 7 7 5 7 7 7 7 7 7 6 7 7 7 7 7 7 7 5 7 7 7 7 7 7 6 7 7 7 7 7 7 7 5 7 7 7 7 7 7 6 7 7 7 7 7 7 7 5 5 7 7 7 7 6 6 7 7 7 7 7 7 7 5 7 7 7 7 7 7 6 7 7 7 7 7 7 7 5 7 7 7 7 7 7 6 7 7 7 7 7 7 7 5 7 7 7 7 7 7 6 7 7 7 7 Example 2: Input: 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 6 7 7 7 9 7 7 7 7 7 7 9 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 9 7 7 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 9 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 6 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 Output: 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 9 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 9 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 9 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 Example 3: Input: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Output: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 2 7 7 7 7 7 7 7 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 5 7 7 7 7 7 7 7 7\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n7 7 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 7 7 7\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n7 7 7 7 7 7 7 7 7 2 7 7 7 7 7 7 7 2 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n7 7 7 5 7 7 7 7 7 7 6 7 7 7 7\n7 7 7 5 7 7 7 7 7 7 6 7 7 7 7\n7 7 7 5 7 7 7 7 7 7 6 7 7 6 7\n5 7 7 5 7 7 7 7 7 7 6 7 7 7 7\n7 7 7 5 7 7 7 7 7 7 6 7 7 7 7\n7 7 7 5 7 7 7 7 7 7 6 7 7 7 7\n7 7 7 5 7 7 7 5 7 7 6 7 7 7 7\n7 7 7 5 7 7 7 7 7 7 6 7 7 7 7\n7 7 7 5 7 7 7 7 7 7 6 7 7 7 7\n7 8 7 5 7 7 7 7 7 7 6 7 7 7 7\n7 7 7 5 7 6 7 7 7 7 6 7 7 5 7\n7 7 7 5 7 7 7 7 7 7 6 7 7 7 7\n7 7 7 5 7 7 7 7 7 7 6 7 7 7 7\n7 7 7 5 7 7 7 7 7 7 6 7 7 7 7\nOutput:\n7 7 7 5 7 7 7 7 7 7 6 7 7 7 7\n7 7 7 5 7 7 7 7 7 7 6 7 7 7 7\n7 7 7 5 7 7 7 7 7 7 6 6 7 7 7\n7 7 5 5 7 7 7 7 7 7 6 7 7 7 7\n7 7 7 5 7 7 7 7 7 7 6 7 7 7 7\n7 7 7 5 7 7 7 7 7 7 6 7 7 7 7\n7 7 7 5 5 7 7 7 7 7 6 7 7 7 7\n7 7 7 5 7 7 7 7 7 7 6 7 7 7 7\n7 7 7 5 7 7 7 7 7 7 6 7 7 7 7\n7 7 7 5 7 7 7 7 7 7 6 7 7 7 7\n7 7 7 5 5 7 7 7 7 6 6 7 7 7 7\n7 7 7 5 7 7 7 7 7 7 6 7 7 7 7\n7 7 7 5 7 7 7 7 7 7 6 7 7 7 7\n7 7 7 5 7 7 7 7 7 7 6 7 7 7 7\n\nExample 2:\n\nInput:\n7 7 7 7 7 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7 7 7 7 7\n7 6 7 7 7 9 7 7 7 7 7 7 9 7 7\n7 7 7 7 7 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7 7 7 7 7\n7 9 7 7 7 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 9 7 7 9 7 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7 7 7 6 7\n7 7 7 7 7 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7 7 7 7 7\nOutput:\n7 7 7 7 7 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 9 9 7 7 7 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 9 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 9 9 7 7 7 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 9 7 7 7 7 7 7 7 7 7\n\nExample 3:\n\nInput:\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 5 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 2 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\nOutput:\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n7 7 7 2 7 7 7 7 7 7 7 2 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 8 7 7 7 8 7 7 7 7 7 7 7 7 7 7\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 7 7 7\n7 7 7 7 7 7 7 7 7 7 5 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 7 7 7\n7 7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 2 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 9 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 9 7 7 7 7 7 7 7 7 7 7 8 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n", "answer": "7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 5 7 7 7 7 7 7 7 7\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n7 7 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 7 7 7\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n7 7 7 7 7 7 7 7 7 2 7 7 7 7 7 7 7 2 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7", "metadata": {"source_dataset": "arc_agi", "source_index": 50, "input": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 7, 7], [7, 7, 7, 7, 7, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "output": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 7, 7], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 7, 7, 7, 7, 7, 7, 2, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "task_id": "1a07d186", "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": 50, "input": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 7, 7], [7, 7, 7, 7, 7, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 9, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 9, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "output": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 7, 7], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 7, 7, 7, 7, 7, 7, 2, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "task_id": "1a07d186", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 7 7 7 0 0 0 0 0 0 0 0 0 0 0 0 7 7 7 7 0 0 0 0 0 0 0 0 0 0 0 0 7 4 4 7 0 0 0 0 0 0 0 0 0 0 0 0 7 4 4 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 7 7 0 0 0 0 0 0 0 0 0 0 0 0 3 7 7 7 0 0 0 0 0 0 0 0 0 0 0 0 3 7 7 7 0 0 0 0 0 0 0 0 0 0 0 0 3 7 7 7 0 0 0 7 7 7 7 0 0 0 0 0 0 0 0 0 0 0 0 7 7 7 5 0 0 0 0 0 0 0 0 0 0 0 0 7 7 7 5 0 0 0 0 0 0 0 0 0 0 0 0 7 7 7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 3 7 7 7 3 7 7 5 3 4 4 5 3 4 4 7 Example 2: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 7 7 8 8 8 8 8 8 8 7 3 3 8 8 8 4 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 5 5 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 5 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 7 0 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 0 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Output: 4 3 3 4 5 5 7 0 5 7 0 7 Example 3: Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 7 7 7 9 9 9 9 9 9 9 9 9 9 9 9 7 5 5 5 9 9 9 9 9 9 9 9 9 9 9 9 7 5 7 7 9 9 9 9 9 9 9 9 9 9 9 9 7 7 7 7 9 9 9 9 9 7 7 7 7 9 9 9 7 7 7 7 9 9 9 9 9 7 7 7 7 9 9 9 9 9 9 9 9 9 9 9 9 7 7 0 7 9 9 9 9 9 9 9 9 9 9 9 9 0 0 0 7 9 9 9 9 9 9 9 9 9 9 9 9 7 0 7 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 7 7 7 7 7 5 5 5 7 5 0 7 0 0 0 7 7 0 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: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 7 7 7 7 0 0 0 0 0 0 0 0 0 0 0 7 7 7 7 2 0 0 0 0 0 0 0 0 0 0 0 7 7 7 2 2 0 0 0 4 4 7 7 7 0 0 0 0 0 0 0 0 0 0 0 7 7 7 7 7 0 0 0 0 0 0 0 0 0 0 0 7 7 7 7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 7 3 7 7 0 0 0 0 0 0 0 0 0 0 0 7 7 3 3 7 0 0 0 0 7 7 7 7 7 0 0 7 7 3 7 7 0 0 0 0 5 5 7 7 7 0 0 0 0 0 0 0 0 0 0 0 7 5 7 7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "4 4 3 7 7\n5 5 3 3 2\n7 5 3 2 2", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 7 7 7 7 0 0 0 0 0 0 0 0 0 0\n0 0 7 7 7 7 0 0 0 0 0 0 0 0 0 0\n0 0 7 4 4 7 0 0 0 0 0 0 0 0 0 0\n0 0 7 4 4 7 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 3 7 7 7 0 0\n0 0 0 0 0 0 0 0 0 0 3 7 7 7 0 0\n0 0 0 0 0 0 0 0 0 0 3 7 7 7 0 0\n0 0 0 0 0 0 0 0 0 0 3 7 7 7 0 0\n0 7 7 7 7 0 0 0 0 0 0 0 0 0 0 0\n0 7 7 7 5 0 0 0 0 0 0 0 0 0 0 0\n0 7 7 7 5 0 0 0 0 0 0 0 0 0 0 0\n0 7 7 7 7 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\nOutput:\n3 7 7 7\n3 7 7 5\n3 4 4 5\n3 4 4 7\n\nExample 2:\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 4 7 7 8 8 8 8 8 8 8 7 3 3 8\n8 8 4 7 7 8 8 8 8 8 8 8 7 7 7 8\n8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 8\n8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8\n8 8 8 8 8 8 8 8 7 5 5 8 8 8 8 8\n8 7 7 7 8 8 8 8 7 7 5 8 8 8 8 8\n8 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8\n8 7 0 7 8 8 8 8 8 8 8 8 8 8 8 8\n8 7 0 7 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\nOutput:\n4 3 3\n4 5 5\n7 0 5\n7 0 7\n\nExample 3:\n\nInput:\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 7 7 7 7 9 9 9 9\n9 9 9 9 9 9 9 9 7 5 5 5 9 9 9 9\n9 9 9 9 9 9 9 9 7 5 7 7 9 9 9 9\n9 9 9 9 9 9 9 9 7 7 7 7 9 9 9 9\n9 7 7 7 7 9 9 9 7 7 7 7 9 9 9 9\n9 7 7 7 7 9 9 9 9 9 9 9 9 9 9 9\n9 7 7 0 7 9 9 9 9 9 9 9 9 9 9 9\n9 0 0 0 7 9 9 9 9 9 9 9 9 9 9 9\n9 7 0 7 7 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\nOutput:\n7 7 7 7\n7 5 5 5\n7 5 0 7\n0 0 0 7\n7 0 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:\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 7 7 7 7 7 0 0\n0 0 0 0 0 0 0 0 0 7 7 7 7 2 0 0\n0 0 0 0 0 0 0 0 0 7 7 7 2 2 0 0\n0 4 4 7 7 7 0 0 0 0 0 0 0 0 0 0\n0 7 7 7 7 7 0 0 0 0 0 0 0 0 0 0\n0 7 7 7 7 7 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 7 7 3 7 7 0 0 0\n0 0 0 0 0 0 0 0 7 7 3 3 7 0 0 0\n0 7 7 7 7 7 0 0 7 7 3 7 7 0 0 0\n0 5 5 7 7 7 0 0 0 0 0 0 0 0 0 0\n0 7 5 7 7 7 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", "answer": "4 4 3 7 7\n5 5 3 3 2\n7 5 3 2 2", "metadata": {"source_dataset": "arc_agi", "source_index": 51, "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, 7, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 2, 2, 0, 0], [0, 4, 4, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 3, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 3, 3, 7, 0, 0, 0], [0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 3, 7, 7, 0, 0, 0], [0, 5, 5, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 5, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[4, 4, 3, 7, 7], [5, 5, 3, 3, 2], [7, 5, 3, 2, 2]], "task_id": "7c9b52a0", "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": 51, "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, 7, 7, 7, 7, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 2, 2, 0, 0], [0, 4, 4, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 3, 7, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 3, 3, 7, 0, 0, 0], [0, 7, 7, 7, 7, 7, 0, 0, 7, 7, 3, 7, 7, 0, 0, 0], [0, 5, 5, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 5, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "output": [[4, 4, 3, 7, 7], [5, 5, 3, 3, 2], [7, 5, 3, 2, 2]], "task_id": "7c9b52a0", "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 9 9 9 9 9 9 9 9 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 2 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 9 9 2 9 4 9 9 9 9 9 9 2 9 4 9 9 9 9 9 9 2 9 4 9 9 9 9 9 9 2 9 4 9 9 9 9 9 9 2 9 4 9 9 9 9 9 9 2 9 4 9 9 9 9 0 0 2 0 4 0 0 0 0 9 9 2 9 4 9 9 9 9 9 9 2 9 4 9 9 9 9 Example 2: Input: 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 2 9 9 9 9 9 9 9 9 9 9 9 Output: 9 9 9 4 9 9 4 9 2 9 0 0 0 4 0 0 4 0 2 0 9 9 9 4 9 9 4 9 2 9 9 9 9 4 9 9 4 9 2 9 9 9 9 4 9 9 4 9 2 9 9 9 9 4 9 9 4 9 2 9 9 9 9 4 9 9 4 9 2 9 0 0 0 4 0 0 4 0 2 0 9 9 9 4 9 9 4 9 2 9 9 9 9 4 9 9 4 9 2 9 9 9 9 4 9 9 4 9 2 9 Example 3: Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 2 9 9 9 9 4 9 9 9 9 9 9 9 9 9 9 9 Output: 9 9 9 2 9 4 9 9 4 9 9 9 9 2 9 4 9 9 4 9 0 0 0 2 0 4 0 0 4 0 9 9 9 2 9 4 9 9 4 9 9 9 9 2 9 4 9 9 4 9 9 9 9 2 9 4 9 9 4 9 9 9 9 2 9 4 9 9 4 9 9 9 9 2 9 4 9 9 4 9 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 2 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 4 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 2 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "9 9 2 9 2 9 9 9 4 9 9 4\n0 0 2 0 2 0 0 0 4 0 0 4\n9 9 2 9 2 9 9 9 4 9 9 4\n9 9 2 9 2 9 9 9 4 9 9 4\n9 9 2 9 2 9 9 9 4 9 9 4\n9 9 2 9 2 9 9 9 4 9 9 4\n0 0 2 0 2 0 0 0 4 0 0 4\n9 9 2 9 2 9 9 9 4 9 9 4\n9 9 2 9 2 9 9 9 4 9 9 4\n9 9 2 9 2 9 9 9 4 9 9 4\n9 9 2 9 2 9 9 9 4 9 9 4", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n9 9 9 9 9 9 9 9 9\n9 9 9 9 4 9 9 9 9\n9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9\n9 9 2 9 9 9 9 9 9\n9 9 9 9 9 9 0 9 9\n9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9\nOutput:\n9 9 2 9 4 9 9 9 9\n9 9 2 9 4 9 9 9 9\n9 9 2 9 4 9 9 9 9\n9 9 2 9 4 9 9 9 9\n9 9 2 9 4 9 9 9 9\n9 9 2 9 4 9 9 9 9\n0 0 2 0 4 0 0 0 0\n9 9 2 9 4 9 9 9 9\n9 9 2 9 4 9 9 9 9\n\nExample 2:\n\nInput:\n9 9 9 9 9 9 9 9 9 9\n0 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 4 9 9 9\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n9 0 9 9 9 9 9 9 9 9\n9 9 9 4 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 2 9\n9 9 9 9 9 9 9 9 9 9\nOutput:\n9 9 9 4 9 9 4 9 2 9\n0 0 0 4 0 0 4 0 2 0\n9 9 9 4 9 9 4 9 2 9\n9 9 9 4 9 9 4 9 2 9\n9 9 9 4 9 9 4 9 2 9\n9 9 9 4 9 9 4 9 2 9\n9 9 9 4 9 9 4 9 2 9\n0 0 0 4 0 0 4 0 2 0\n9 9 9 4 9 9 4 9 2 9\n9 9 9 4 9 9 4 9 2 9\n9 9 9 4 9 9 4 9 2 9\n\nExample 3:\n\nInput:\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n9 9 0 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 4 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n9 9 9 2 9 9 9 9 4 9\n9 9 9 9 9 9 9 9 9 9\nOutput:\n9 9 9 2 9 4 9 9 4 9\n9 9 9 2 9 4 9 9 4 9\n0 0 0 2 0 4 0 0 4 0\n9 9 9 2 9 4 9 9 4 9\n9 9 9 2 9 4 9 9 4 9\n9 9 9 2 9 4 9 9 4 9\n9 9 9 2 9 4 9 9 4 9\n9 9 9 2 9 4 9 9 4 9\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 0 9\n9 9 2 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 4 9 9 9\n9 9 9 9 9 9 0 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 4\n9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 2 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9\n", "answer": "9 9 2 9 2 9 9 9 4 9 9 4\n0 0 2 0 2 0 0 0 4 0 0 4\n9 9 2 9 2 9 9 9 4 9 9 4\n9 9 2 9 2 9 9 9 4 9 9 4\n9 9 2 9 2 9 9 9 4 9 9 4\n9 9 2 9 2 9 9 9 4 9 9 4\n0 0 2 0 2 0 0 0 4 0 0 4\n9 9 2 9 2 9 9 9 4 9 9 4\n9 9 2 9 2 9 9 9 4 9 9 4\n9 9 2 9 2 9 9 9 4 9 9 4\n9 9 2 9 2 9 9 9 4 9 9 4", "metadata": {"source_dataset": "arc_agi", "source_index": 52, "input": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9], [9, 9, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 4, 9, 9, 9], [9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 2, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[9, 9, 2, 9, 2, 9, 9, 9, 4, 9, 9, 4], [0, 0, 2, 0, 2, 0, 0, 0, 4, 0, 0, 4], [9, 9, 2, 9, 2, 9, 9, 9, 4, 9, 9, 4], [9, 9, 2, 9, 2, 9, 9, 9, 4, 9, 9, 4], [9, 9, 2, 9, 2, 9, 9, 9, 4, 9, 9, 4], [9, 9, 2, 9, 2, 9, 9, 9, 4, 9, 9, 4], [0, 0, 2, 0, 2, 0, 0, 0, 4, 0, 0, 4], [9, 9, 2, 9, 2, 9, 9, 9, 4, 9, 9, 4], [9, 9, 2, 9, 2, 9, 9, 9, 4, 9, 9, 4], [9, 9, 2, 9, 2, 9, 9, 9, 4, 9, 9, 4], [9, 9, 2, 9, 2, 9, 9, 9, 4, 9, 9, 4]], "task_id": "178fcbfb", "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": 52, "input": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9], [9, 9, 2, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 4, 9, 9, 9], [9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 2, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[9, 9, 2, 9, 2, 9, 9, 9, 4, 9, 9, 4], [0, 0, 2, 0, 2, 0, 0, 0, 4, 0, 0, 4], [9, 9, 2, 9, 2, 9, 9, 9, 4, 9, 9, 4], [9, 9, 2, 9, 2, 9, 9, 9, 4, 9, 9, 4], [9, 9, 2, 9, 2, 9, 9, 9, 4, 9, 9, 4], [9, 9, 2, 9, 2, 9, 9, 9, 4, 9, 9, 4], [0, 0, 2, 0, 2, 0, 0, 0, 4, 0, 0, 4], [9, 9, 2, 9, 2, 9, 9, 9, 4, 9, 9, 4], [9, 9, 2, 9, 2, 9, 9, 9, 4, 9, 9, 4], [9, 9, 2, 9, 2, 9, 9, 9, 4, 9, 9, 4], [9, 9, 2, 9, 2, 9, 9, 9, 4, 9, 9, 4]], "task_id": "178fcbfb", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 4 8 8 8 8 7 8 8 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 4 8 8 8 8 4 4 8 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8 4 4 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 4 8 7 7 8 8 8 8 4 4 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 7 7 8 8 8 8 7 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 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 2 8 8 8 8 8 8 8 8 8 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 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 5 8 8 5 8 8 5 8 8 8 8 8 5 8 8 5 8 8 5 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 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 2 8 8 8 8 8 8 8 8 8 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 2 8 8 2 8 8 2 8 8 8 2 8 8 2 8 8 2 8 8 8 8 8 8 8 8 8 8 8 8 8 Example 3: Input: 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 0 0 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 0 0 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 5 8 8 0 8 8 8 8 5 5 8 8 0 0 8 8 8 8 5 8 8 0 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 0 0 8 8 8 8 8 8 8 0 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 0 0 8 8 8 8 8 8 8 0 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 5 8 8 8 8 8 8 8 5 5 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 5 5 8 8 8 8 8 8 8 8 5 8 8 8 8 8 0 8 8 8 8 5 8 8 8 0 0 8 8 5 5 8 8 8 0 8 8 8 8 5 8 8 8 8 8 8 5 8 8 8 8 8 8 8 5 5 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 5 8 8 8 8 8 8 8 5 5 8 8 8 8 8 8 8 8 5 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 7 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 0 8 8 8 8 7 8 8 0 0 0 8 7 7 8 8 8 8 0 8 8 8 8 7 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 0 8 8 8 8 8 8 8 0 0 0 8 8 8 8 8 8 8 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 0 8 8 8 7 7 8 8 0 0 0 8 8 8 8 7 8 8 0 8 8 8 8 8 8 8 8 8 8 8 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 1 8 1 8 1 8 1 8 8 8 8 1 1 8 8 1 1 8 8 8 8 8 1 8 1 8 1 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 1 8 1 8 8 8 8 8 8 9 8 1 1 8 8 8 8 8 8 9 9 8 1 8 1 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8\n8 8 8 9 9 9 8 9 9 9 8\n8 8 8 8 8 9 8 8 8 9 8\n8 8 8 8 9 9 8 8 9 9 8\n8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8\n8 8 8 1 8 1 8 9 9 9 8\n8 8 8 1 1 8 8 8 8 9 8\n8 8 8 1 8 1 8 8 9 9 8\n8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8\n8 8 8 7 7 8 8 4 8\n8 8 8 7 8 8 4 4 8\n8 8 8 8 8 8 8 8 8\n8 8 8 8 4 8 8 4 8\n8 8 8 4 4 8 4 4 8\n8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 4 8\n8 8 8 8 8 8 4 4 8\n8 8 8 8 8 8 8 8 8\nOutput:\n8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8\n8 8 8 8 4 8 7 7 8\n8 8 8 4 4 8 7 8 8\n8 8 8 8 8 8 8 8 8\n8 8 8 7 7 8 7 7 8\n8 8 8 7 8 8 7 8 8\n8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 7 7 8\n8 8 8 8 8 8 7 8 8\n8 8 8 8 8 8 8 8 8\n\nExample 2:\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 2 8\n8 8 8 8 8 8 8 8 2 8 8\n8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 5 8 8\n8 8 8 8 8 8 8 8 8 5 8\n8 8 8 8 8 8 8 8 8 8 8\n8 8 5 8 8 5 8 8 5 8 8\n8 8 8 5 8 8 5 8 8 5 8\n8 8 8 8 8 8 8 8 8 8 8\nOutput:\n8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 5 8 8\n8 8 8 8 8 8 8 8 8 5 8\n8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 2 8\n8 8 8 8 8 8 8 8 2 8 8\n8 8 8 8 8 8 8 8 8 8 8\n8 8 8 2 8 8 2 8 8 2 8\n8 8 2 8 8 2 8 8 2 8 8\n8 8 8 8 8 8 8 8 8 8 8\n\nExample 3:\n\nInput:\n8 8 8 8 8 8 8 8 8\n8 8 0 8 8 8 8 8 8\n8 8 0 0 8 8 8 8 8\n8 8 0 8 8 8 8 8 8\n8 8 8 8 0 8 8 8 8\n8 8 8 8 0 0 8 8 8\n8 8 8 8 0 8 8 8 8\n8 8 8 5 8 8 0 8 8\n8 8 5 5 8 8 0 0 8\n8 8 8 5 8 8 0 8 8\n8 8 8 8 0 8 8 8 8\n8 8 8 8 0 0 8 8 8\n8 8 8 8 0 8 8 8 8\n8 8 0 8 8 8 8 8 8\n8 8 0 0 8 8 8 8 8\n8 8 0 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8\nOutput:\n8 8 8 8 8 8 8 8 8\n8 8 8 5 8 8 8 8 8\n8 8 5 5 8 8 8 8 8\n8 8 8 5 8 8 8 8 8\n8 8 8 8 8 5 8 8 8\n8 8 8 8 5 5 8 8 8\n8 8 8 8 8 5 8 8 8\n8 8 0 8 8 8 8 5 8\n8 8 0 0 8 8 5 5 8\n8 8 0 8 8 8 8 5 8\n8 8 8 8 8 5 8 8 8\n8 8 8 8 5 5 8 8 8\n8 8 8 8 8 5 8 8 8\n8 8 8 5 8 8 8 8 8\n8 8 5 5 8 8 8 8 8\n8 8 8 5 8 8 8 8 8\n8 8 8 8 8 8 8 8 8\n\nExample 4:\n\nInput:\n8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 7 8\n8 8 8 8 8 7 7 8 8\n8 8 8 8 8 8 8 7 8\n8 8 8 8 8 8 8 8 8\n8 8 0 8 8 8 8 7 8\n8 0 0 0 8 7 7 8 8\n8 8 0 8 8 8 8 7 8\n8 8 8 8 8 8 8 8 8\nOutput:\n8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 0 8 8\n8 8 8 8 8 0 0 0 8\n8 8 8 8 8 8 0 8 8\n8 8 8 8 8 8 8 8 8\n8 8 8 7 8 8 0 8 8\n8 7 7 8 8 0 0 0 8\n8 8 8 7 8 8 0 8 8\n8 8 8 8 8 8 8 8 8\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8\n8 8 8 1 8 1 8 1 8 1 8\n8 8 8 1 1 8 8 1 1 8 8\n8 8 8 1 8 1 8 1 8 1 8\n8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8\n8 8 8 9 9 9 8 1 8 1 8\n8 8 8 8 8 9 8 1 1 8 8\n8 8 8 8 9 9 8 1 8 1 8\n8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8\n", "answer": "8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8\n8 8 8 9 9 9 8 9 9 9 8\n8 8 8 8 8 9 8 8 8 9 8\n8 8 8 8 9 9 8 8 9 9 8\n8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8\n8 8 8 1 8 1 8 9 9 9 8\n8 8 8 1 1 8 8 8 8 9 8\n8 8 8 1 8 1 8 8 9 9 8\n8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8", "metadata": {"source_dataset": "arc_agi", "source_index": 53, "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, 1, 8, 1, 8, 1, 8, 1, 8], [8, 8, 8, 1, 1, 8, 8, 1, 1, 8, 8], [8, 8, 8, 1, 8, 1, 8, 1, 8, 1, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 9, 9, 9, 8, 1, 8, 1, 8], [8, 8, 8, 8, 8, 9, 8, 1, 1, 8, 8], [8, 8, 8, 8, 9, 9, 8, 1, 8, 1, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "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, 9, 9, 9, 8, 9, 9, 9, 8], [8, 8, 8, 8, 8, 9, 8, 8, 8, 9, 8], [8, 8, 8, 8, 9, 9, 8, 8, 9, 9, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 1, 8, 1, 8, 9, 9, 9, 8], [8, 8, 8, 1, 1, 8, 8, 8, 8, 9, 8], [8, 8, 8, 1, 8, 1, 8, 8, 9, 9, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "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": 53, "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, 1, 8, 1, 8, 1, 8, 1, 8], [8, 8, 8, 1, 1, 8, 8, 1, 1, 8, 8], [8, 8, 8, 1, 8, 1, 8, 1, 8, 1, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 9, 9, 9, 8, 1, 8, 1, 8], [8, 8, 8, 8, 8, 9, 8, 1, 1, 8, 8], [8, 8, 8, 8, 9, 9, 8, 1, 8, 1, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "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, 9, 9, 9, 8, 9, 9, 9, 8], [8, 8, 8, 8, 8, 9, 8, 8, 8, 9, 8], [8, 8, 8, 8, 9, 9, 8, 8, 9, 9, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 1, 8, 1, 8, 9, 9, 9, 8], [8, 8, 8, 1, 1, 8, 8, 8, 8, 9, 8], [8, 8, 8, 1, 8, 1, 8, 8, 9, 9, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "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]}}
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 9 9 9 7 9 9 9 9 9 9 9 9 9 7 7 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 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 8 8 7 8 8 7 7 8 Example 2: Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 9 9 9 9 9 9 9 6 6 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 3 3 3 9 9 9 9 9 9 9 3 9 3 9 9 9 9 9 9 Output: 3 3 3 3 6 3 6 6 6 Example 3: Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 6 9 9 9 9 9 9 9 9 6 9 9 9 9 9 9 9 9 9 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 2 9 9 9 9 9 9 9 9 2 2 9 9 9 9 9 9 9 9 2 2 Output: 6 6 2 6 2 2 6 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: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 0 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 5 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 5 5 5 9 9 9 9 9 9 9 9 9 9	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 5 0\n5 0 0\n5 5 5", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n9 9 9 9 9 9 9 9 7 9\n9 9 9 9 9 9 9 9 7 7\n9 9 9 8 8 8 9 9 9 9\n9 9 9 9 8 8 9 9 9 9\n9 9 9 9 9 8 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\nOutput:\n8 8 8\n7 8 8\n7 7 8\n\nExample 2:\n\nInput:\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 6 9 9 9 9 9\n9 9 9 6 6 6 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n9 3 3 3 9 9 9 9 9 9\n9 3 9 3 9 9 9 9 9 9\nOutput:\n3 3 3\n3 6 3\n6 6 6\n\nExample 3:\n\nInput:\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n9 6 6 9 9 9 9 9 9 9\n9 6 9 9 9 9 9 9 9 9\n9 6 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 2\n9 9 9 9 9 9 9 9 2 2\n9 9 9 9 9 9 9 9 2 2\nOutput:\n6 6 2\n6 2 2\n6 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:\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 0 9 9 9 9 9\n9 9 9 0 0 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 5 5 9\n9 9 9 9 9 9 9 5 9 9\n9 9 9 9 9 9 9 5 5 5\n9 9 9 9 9 9 9 9 9 9\n", "answer": "5 5 0\n5 0 0\n5 5 5", "metadata": {"source_dataset": "arc_agi", "source_index": 54, "input": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 0, 9, 9, 9, 9, 9], [9, 9, 9, 0, 0, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 5, 5, 9], [9, 9, 9, 9, 9, 9, 9, 5, 9, 9], [9, 9, 9, 9, 9, 9, 9, 5, 5, 5], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[5, 5, 0], [5, 0, 0], [5, 5, 5]], "task_id": "681b3aeb", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}	{"source_dataset": "arc_agi", "source_index": 54, "input": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 0, 9, 9, 9, 9, 9], [9, 9, 9, 0, 0, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 5, 5, 9], [9, 9, 9, 9, 9, 9, 9, 5, 9, 9], [9, 9, 9, 9, 9, 9, 9, 5, 5, 5], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[5, 5, 0], [5, 0, 0], [5, 5, 5]], "task_id": "681b3aeb", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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 4 0 0 4 1 4 9 9 4 1 4 0 0 4 5 4 5 0 4 1 9 4 9 9 4 9 1 4 0 5 4 0 0 0 5 4 4 1 4 4 1 4 4 5 0 0 0 0 4 5 4 9 9 4 1 1 4 9 9 4 5 4 0 4 1 4 9 6 1 0 6 6 0 1 6 9 4 1 4 1 9 4 9 1 1 1 1 1 1 1 1 9 4 9 1 4 4 1 4 0 1 6 6 6 6 1 0 4 1 4 4 9 9 4 8 8 1 6 6 6 6 1 6 1 4 9 9 9 9 4 8 8 1 6 6 6 6 1 6 1 4 9 9 4 4 1 8 8 1 6 6 6 6 1 0 4 1 4 4 1 9 4 8 8 1 1 1 1 1 1 1 9 4 9 1 4 1 4 9 6 1 0 6 6 0 1 8 8 8 1 4 0 4 5 4 9 9 4 1 1 4 9 8 8 8 4 0 0 0 0 5 4 4 1 4 4 1 4 8 8 8 0 0 4 5 0 4 1 9 4 9 9 4 9 1 4 0 5 4 5 4 0 0 4 1 4 9 9 4 1 4 0 0 4 5 Output: 5 4 0 0 4 1 4 9 9 4 1 4 0 0 4 5 4 5 0 4 1 9 4 9 9 4 9 1 4 0 5 4 0 0 0 5 4 4 1 4 4 1 4 4 5 0 0 0 0 4 5 4 9 9 4 1 1 4 9 9 4 5 4 0 4 1 4 9 6 1 0 6 6 0 1 6 9 4 1 4 1 9 4 9 1 1 1 1 1 1 1 1 9 4 9 1 4 4 1 4 0 1 6 6 6 6 1 0 4 1 4 4 9 9 4 1 6 1 6 6 6 6 1 6 1 4 9 9 9 9 4 1 6 1 6 6 6 6 1 6 1 4 9 9 4 4 1 4 0 1 6 6 6 6 1 0 4 1 4 4 1 9 4 9 1 1 1 1 1 1 1 1 9 4 9 1 4 1 4 9 6 1 0 6 6 0 1 6 9 4 1 4 0 4 5 4 9 9 4 1 1 4 9 9 4 5 4 0 0 0 0 5 4 4 1 4 4 1 4 4 5 0 0 0 4 5 0 4 1 9 4 9 9 4 9 1 4 0 5 4 5 4 0 0 4 1 4 9 9 4 1 4 0 0 4 5 Example 2: Input: 9 9 7 7 6 9 5 9 9 5 9 6 7 7 9 9 9 7 9 9 9 5 9 6 6 9 5 9 9 9 7 9 7 9 7 7 5 9 9 9 9 8 8 8 7 7 9 7 7 9 7 4 9 6 9 9 9 8 8 8 4 7 9 7 6 9 5 9 0 1 0 1 1 8 8 8 9 5 9 6 9 5 9 6 1 3 1 1 1 8 8 8 6 9 5 9 5 9 9 9 0 1 3 1 1 3 1 0 9 9 9 5 9 6 9 9 1 1 1 3 3 1 1 1 9 9 6 9 9 6 9 9 1 1 1 3 3 1 1 1 9 9 6 9 5 9 9 9 0 1 3 1 1 3 1 0 9 9 9 5 9 5 9 6 1 3 1 1 1 1 3 1 6 9 5 9 6 9 5 9 0 1 0 1 1 0 1 0 9 5 9 6 7 9 7 4 9 6 9 9 9 9 6 9 4 7 9 7 7 9 7 7 5 9 8 8 9 9 9 5 7 7 9 7 9 7 9 9 9 5 8 8 6 9 5 9 9 9 7 9 9 9 7 7 6 9 5 9 9 5 9 6 7 7 9 9 Output: 9 9 7 7 6 9 5 9 9 5 9 6 7 7 9 9 9 7 9 9 9 5 9 6 6 9 5 9 9 9 7 9 7 9 7 7 5 9 9 9 9 9 9 5 7 7 9 7 7 9 7 4 9 6 9 9 9 9 6 9 4 7 9 7 6 9 5 9 0 1 0 1 1 0 1 0 9 5 9 6 9 5 9 6 1 3 1 1 1 1 3 1 6 9 5 9 5 9 9 9 0 1 3 1 1 3 1 0 9 9 9 5 9 6 9 9 1 1 1 3 3 1 1 1 9 9 6 9 9 6 9 9 1 1 1 3 3 1 1 1 9 9 6 9 5 9 9 9 0 1 3 1 1 3 1 0 9 9 9 5 9 5 9 6 1 3 1 1 1 1 3 1 6 9 5 9 6 9 5 9 0 1 0 1 1 0 1 0 9 5 9 6 7 9 7 4 9 6 9 9 9 9 6 9 4 7 9 7 7 9 7 7 5 9 9 9 9 9 9 5 7 7 9 7 9 7 9 9 9 5 9 6 6 9 5 9 9 9 7 9 9 9 7 7 6 9 5 9 9 5 9 6 7 7 9 9 Example 3: Input: 0 1 1 1 6 8 8 6 6 6 6 6 1 1 1 0 1 1 0 0 6 8 8 6 6 6 9 6 0 0 1 1 1 0 1 1 6 6 9 0 0 9 6 6 1 1 0 1 1 0 1 1 6 6 0 9 9 0 6 6 1 1 0 1 6 6 6 6 0 4 0 4 4 0 4 0 6 6 6 6 6 9 6 6 4 4 0 9 9 0 4 4 6 6 9 6 6 6 9 0 0 0 4 4 4 4 0 0 0 9 6 6 6 6 0 9 4 9 4 0 0 4 9 4 9 0 6 6 6 6 0 9 4 9 4 0 0 4 9 4 9 0 6 6 6 6 9 0 0 0 4 4 4 4 0 0 0 9 6 6 6 9 6 6 4 4 0 9 9 0 4 4 6 6 9 6 6 6 6 6 0 4 0 8 8 0 4 0 6 6 6 6 1 0 1 1 6 6 0 8 8 0 6 6 1 1 0 1 1 0 1 1 6 6 9 8 8 9 6 6 1 1 0 1 1 1 0 0 6 9 6 6 6 6 9 6 0 0 1 1 0 1 1 1 6 6 6 6 6 6 6 6 1 1 1 0 Output: 0 1 1 1 6 6 6 6 6 6 6 6 1 1 1 0 1 1 0 0 6 9 6 6 6 6 9 6 0 0 1 1 1 0 1 1 6 6 9 0 0 9 6 6 1 1 0 1 1 0 1 1 6 6 0 9 9 0 6 6 1 1 0 1 6 6 6 6 0 4 0 4 4 0 4 0 6 6 6 6 6 9 6 6 4 4 0 9 9 0 4 4 6 6 9 6 6 6 9 0 0 0 4 4 4 4 0 0 0 9 6 6 6 6 0 9 4 9 4 0 0 4 9 4 9 0 6 6 6 6 0 9 4 9 4 0 0 4 9 4 9 0 6 6 6 6 9 0 0 0 4 4 4 4 0 0 0 9 6 6 6 9 6 6 4 4 0 9 9 0 4 4 6 6 9 6 6 6 6 6 0 4 0 4 4 0 4 0 6 6 6 6 1 0 1 1 6 6 0 9 9 0 6 6 1 1 0 1 1 0 1 1 6 6 9 0 0 9 6 6 1 1 0 1 1 1 0 0 6 9 6 6 6 6 9 6 0 0 1 1 0 1 1 1 6 6 6 6 6 6 6 6 1 1 1 0 Example 4: Input: 6 9 9 5 9 1 6 9 9 6 1 9 5 9 9 6 9 6 5 6 1 9 6 6 6 6 9 1 6 5 6 9 9 5 5 9 6 6 9 1 1 9 6 6 9 8 8 8 5 6 9 6 9 6 1 6 6 1 6 9 6 8 8 8 9 1 6 9 5 5 5 7 7 5 5 5 9 8 8 8 1 9 6 6 5 5 3 7 7 3 5 5 6 8 8 8 6 6 9 1 5 3 7 3 3 7 3 5 1 9 6 6 9 6 1 6 7 7 3 3 8 8 7 7 6 1 6 9 9 6 1 6 7 7 3 3 8 8 7 7 6 1 6 9 6 6 9 1 5 3 7 3 8 8 3 5 1 9 6 6 1 9 6 6 5 5 3 7 8 8 5 5 6 6 9 1 9 1 6 9 5 5 5 7 7 5 5 5 9 6 1 9 5 6 9 6 9 6 1 6 6 1 6 9 6 9 6 5 9 5 5 9 6 6 9 1 1 9 6 6 9 5 5 9 9 6 5 6 1 9 6 6 6 6 9 1 6 5 6 9 6 9 9 5 9 1 6 9 9 6 1 9 5 9 9 6 Output: 6 9 9 5 9 1 6 9 9 6 1 9 5 9 9 6 9 6 5 6 1 9 6 6 6 6 9 1 6 5 6 9 9 5 5 9 6 6 9 1 1 9 6 6 9 5 5 9 5 6 9 6 9 6 1 6 6 1 6 9 6 9 6 5 9 1 6 9 5 5 5 7 7 5 5 5 9 6 1 9 1 9 6 6 5 5 3 7 7 3 5 5 6 6 9 1 6 6 9 1 5 3 7 3 3 7 3 5 1 9 6 6 9 6 1 6 7 7 3 3 3 3 7 7 6 1 6 9 9 6 1 6 7 7 3 3 3 3 7 7 6 1 6 9 6 6 9 1 5 3 7 3 3 7 3 5 1 9 6 6 1 9 6 6 5 5 3 7 7 3 5 5 6 6 9 1 9 1 6 9 5 5 5 7 7 5 5 5 9 6 1 9 5 6 9 6 9 6 1 6 6 1 6 9 6 9 6 5 9 5 5 9 6 6 9 1 1 9 6 6 9 5 5 9 9 6 5 6 1 9 6 6 6 6 9 1 6 5 6 9 6 9 9 5 9 1 6 9 9 6 1 9 5 9 9 6 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 6 7 0 7 4 1 4 1 1 4 1 4 7 0 7 6 7 7 6 6 1 4 6 6 6 6 4 1 6 6 7 7 0 6 6 0 4 6 4 4 4 4 6 4 0 6 6 0 7 6 0 7 1 6 4 4 4 4 6 1 7 0 6 7 4 1 4 1 7 9 7 9 9 7 9 7 1 4 1 4 1 4 6 6 9 5 9 7 7 9 5 9 8 8 8 1 4 6 4 4 7 9 9 9 9 9 9 7 8 8 8 4 1 6 4 4 9 7 9 7 7 9 7 9 8 8 8 1 1 6 4 4 9 7 9 7 7 9 7 9 8 8 8 1 4 6 4 4 7 9 9 9 9 9 9 7 4 4 6 4 1 4 6 6 9 5 9 7 7 9 5 8 8 8 8 1 4 1 4 1 7 9 7 9 9 7 9 8 8 8 8 4 7 6 0 7 1 6 4 4 4 4 6 1 7 0 6 7 0 6 6 0 4 6 4 4 4 4 6 4 0 6 6 0 7 7 6 6 1 4 6 6 6 6 4 1 6 6 7 7 6 7 0 7 4 1 4 1 1 4 1 4 7 0 7 6	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "6 7 0 7 4 1 4 1 1 4 1 4 7 0 7 6\n7 7 6 6 1 4 6 6 6 6 4 1 6 6 7 7\n0 6 6 0 4 6 4 4 4 4 6 4 0 6 6 0\n7 6 0 7 1 6 4 4 4 4 6 1 7 0 6 7\n4 1 4 1 7 9 7 9 9 7 9 7 1 4 1 4\n1 4 6 6 9 5 9 7 7 9 5 9 6 6 4 1\n4 6 4 4 7 9 9 9 9 9 9 7 4 4 6 4\n1 6 4 4 9 7 9 7 7 9 7 9 4 4 6 1\n1 6 4 4 9 7 9 7 7 9 7 9 4 4 6 1\n4 6 4 4 7 9 9 9 9 9 9 7 4 4 6 4\n1 4 6 6 9 5 9 7 7 9 5 9 6 6 4 1\n4 1 4 1 7 9 7 9 9 7 9 7 1 4 1 4\n7 6 0 7 1 6 4 4 4 4 6 1 7 0 6 7\n0 6 6 0 4 6 4 4 4 4 6 4 0 6 6 0\n7 7 6 6 1 4 6 6 6 6 4 1 6 6 7 7\n6 7 0 7 4 1 4 1 1 4 1 4 7 0 7 6", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n5 4 0 0 4 1 4 9 9 4 1 4 0 0 4 5\n4 5 0 4 1 9 4 9 9 4 9 1 4 0 5 4\n0 0 0 5 4 4 1 4 4 1 4 4 5 0 0 0\n0 4 5 4 9 9 4 1 1 4 9 9 4 5 4 0\n4 1 4 9 6 1 0 6 6 0 1 6 9 4 1 4\n1 9 4 9 1 1 1 1 1 1 1 1 9 4 9 1\n4 4 1 4 0 1 6 6 6 6 1 0 4 1 4 4\n9 9 4 8 8 1 6 6 6 6 1 6 1 4 9 9\n9 9 4 8 8 1 6 6 6 6 1 6 1 4 9 9\n4 4 1 8 8 1 6 6 6 6 1 0 4 1 4 4\n1 9 4 8 8 1 1 1 1 1 1 1 9 4 9 1\n4 1 4 9 6 1 0 6 6 0 1 8 8 8 1 4\n0 4 5 4 9 9 4 1 1 4 9 8 8 8 4 0\n0 0 0 5 4 4 1 4 4 1 4 8 8 8 0 0\n4 5 0 4 1 9 4 9 9 4 9 1 4 0 5 4\n5 4 0 0 4 1 4 9 9 4 1 4 0 0 4 5\nOutput:\n5 4 0 0 4 1 4 9 9 4 1 4 0 0 4 5\n4 5 0 4 1 9 4 9 9 4 9 1 4 0 5 4\n0 0 0 5 4 4 1 4 4 1 4 4 5 0 0 0\n0 4 5 4 9 9 4 1 1 4 9 9 4 5 4 0\n4 1 4 9 6 1 0 6 6 0 1 6 9 4 1 4\n1 9 4 9 1 1 1 1 1 1 1 1 9 4 9 1\n4 4 1 4 0 1 6 6 6 6 1 0 4 1 4 4\n9 9 4 1 6 1 6 6 6 6 1 6 1 4 9 9\n9 9 4 1 6 1 6 6 6 6 1 6 1 4 9 9\n4 4 1 4 0 1 6 6 6 6 1 0 4 1 4 4\n1 9 4 9 1 1 1 1 1 1 1 1 9 4 9 1\n4 1 4 9 6 1 0 6 6 0 1 6 9 4 1 4\n0 4 5 4 9 9 4 1 1 4 9 9 4 5 4 0\n0 0 0 5 4 4 1 4 4 1 4 4 5 0 0 0\n4 5 0 4 1 9 4 9 9 4 9 1 4 0 5 4\n5 4 0 0 4 1 4 9 9 4 1 4 0 0 4 5\n\nExample 2:\n\nInput:\n9 9 7 7 6 9 5 9 9 5 9 6 7 7 9 9\n9 7 9 9 9 5 9 6 6 9 5 9 9 9 7 9\n7 9 7 7 5 9 9 9 9 8 8 8 7 7 9 7\n7 9 7 4 9 6 9 9 9 8 8 8 4 7 9 7\n6 9 5 9 0 1 0 1 1 8 8 8 9 5 9 6\n9 5 9 6 1 3 1 1 1 8 8 8 6 9 5 9\n5 9 9 9 0 1 3 1 1 3 1 0 9 9 9 5\n9 6 9 9 1 1 1 3 3 1 1 1 9 9 6 9\n9 6 9 9 1 1 1 3 3 1 1 1 9 9 6 9\n5 9 9 9 0 1 3 1 1 3 1 0 9 9 9 5\n9 5 9 6 1 3 1 1 1 1 3 1 6 9 5 9\n6 9 5 9 0 1 0 1 1 0 1 0 9 5 9 6\n7 9 7 4 9 6 9 9 9 9 6 9 4 7 9 7\n7 9 7 7 5 9 8 8 9 9 9 5 7 7 9 7\n9 7 9 9 9 5 8 8 6 9 5 9 9 9 7 9\n9 9 7 7 6 9 5 9 9 5 9 6 7 7 9 9\nOutput:\n9 9 7 7 6 9 5 9 9 5 9 6 7 7 9 9\n9 7 9 9 9 5 9 6 6 9 5 9 9 9 7 9\n7 9 7 7 5 9 9 9 9 9 9 5 7 7 9 7\n7 9 7 4 9 6 9 9 9 9 6 9 4 7 9 7\n6 9 5 9 0 1 0 1 1 0 1 0 9 5 9 6\n9 5 9 6 1 3 1 1 1 1 3 1 6 9 5 9\n5 9 9 9 0 1 3 1 1 3 1 0 9 9 9 5\n9 6 9 9 1 1 1 3 3 1 1 1 9 9 6 9\n9 6 9 9 1 1 1 3 3 1 1 1 9 9 6 9\n5 9 9 9 0 1 3 1 1 3 1 0 9 9 9 5\n9 5 9 6 1 3 1 1 1 1 3 1 6 9 5 9\n6 9 5 9 0 1 0 1 1 0 1 0 9 5 9 6\n7 9 7 4 9 6 9 9 9 9 6 9 4 7 9 7\n7 9 7 7 5 9 9 9 9 9 9 5 7 7 9 7\n9 7 9 9 9 5 9 6 6 9 5 9 9 9 7 9\n9 9 7 7 6 9 5 9 9 5 9 6 7 7 9 9\n\nExample 3:\n\nInput:\n0 1 1 1 6 8 8 6 6 6 6 6 1 1 1 0\n1 1 0 0 6 8 8 6 6 6 9 6 0 0 1 1\n1 0 1 1 6 6 9 0 0 9 6 6 1 1 0 1\n1 0 1 1 6 6 0 9 9 0 6 6 1 1 0 1\n6 6 6 6 0 4 0 4 4 0 4 0 6 6 6 6\n6 9 6 6 4 4 0 9 9 0 4 4 6 6 9 6\n6 6 9 0 0 0 4 4 4 4 0 0 0 9 6 6\n6 6 0 9 4 9 4 0 0 4 9 4 9 0 6 6\n6 6 0 9 4 9 4 0 0 4 9 4 9 0 6 6\n6 6 9 0 0 0 4 4 4 4 0 0 0 9 6 6\n6 9 6 6 4 4 0 9 9 0 4 4 6 6 9 6\n6 6 6 6 0 4 0 8 8 0 4 0 6 6 6 6\n1 0 1 1 6 6 0 8 8 0 6 6 1 1 0 1\n1 0 1 1 6 6 9 8 8 9 6 6 1 1 0 1\n1 1 0 0 6 9 6 6 6 6 9 6 0 0 1 1\n0 1 1 1 6 6 6 6 6 6 6 6 1 1 1 0\nOutput:\n0 1 1 1 6 6 6 6 6 6 6 6 1 1 1 0\n1 1 0 0 6 9 6 6 6 6 9 6 0 0 1 1\n1 0 1 1 6 6 9 0 0 9 6 6 1 1 0 1\n1 0 1 1 6 6 0 9 9 0 6 6 1 1 0 1\n6 6 6 6 0 4 0 4 4 0 4 0 6 6 6 6\n6 9 6 6 4 4 0 9 9 0 4 4 6 6 9 6\n6 6 9 0 0 0 4 4 4 4 0 0 0 9 6 6\n6 6 0 9 4 9 4 0 0 4 9 4 9 0 6 6\n6 6 0 9 4 9 4 0 0 4 9 4 9 0 6 6\n6 6 9 0 0 0 4 4 4 4 0 0 0 9 6 6\n6 9 6 6 4 4 0 9 9 0 4 4 6 6 9 6\n6 6 6 6 0 4 0 4 4 0 4 0 6 6 6 6\n1 0 1 1 6 6 0 9 9 0 6 6 1 1 0 1\n1 0 1 1 6 6 9 0 0 9 6 6 1 1 0 1\n1 1 0 0 6 9 6 6 6 6 9 6 0 0 1 1\n0 1 1 1 6 6 6 6 6 6 6 6 1 1 1 0\n\nExample 4:\n\nInput:\n6 9 9 5 9 1 6 9 9 6 1 9 5 9 9 6\n9 6 5 6 1 9 6 6 6 6 9 1 6 5 6 9\n9 5 5 9 6 6 9 1 1 9 6 6 9 8 8 8\n5 6 9 6 9 6 1 6 6 1 6 9 6 8 8 8\n9 1 6 9 5 5 5 7 7 5 5 5 9 8 8 8\n1 9 6 6 5 5 3 7 7 3 5 5 6 8 8 8\n6 6 9 1 5 3 7 3 3 7 3 5 1 9 6 6\n9 6 1 6 7 7 3 3 8 8 7 7 6 1 6 9\n9 6 1 6 7 7 3 3 8 8 7 7 6 1 6 9\n6 6 9 1 5 3 7 3 8 8 3 5 1 9 6 6\n1 9 6 6 5 5 3 7 8 8 5 5 6 6 9 1\n9 1 6 9 5 5 5 7 7 5 5 5 9 6 1 9\n5 6 9 6 9 6 1 6 6 1 6 9 6 9 6 5\n9 5 5 9 6 6 9 1 1 9 6 6 9 5 5 9\n9 6 5 6 1 9 6 6 6 6 9 1 6 5 6 9\n6 9 9 5 9 1 6 9 9 6 1 9 5 9 9 6\nOutput:\n6 9 9 5 9 1 6 9 9 6 1 9 5 9 9 6\n9 6 5 6 1 9 6 6 6 6 9 1 6 5 6 9\n9 5 5 9 6 6 9 1 1 9 6 6 9 5 5 9\n5 6 9 6 9 6 1 6 6 1 6 9 6 9 6 5\n9 1 6 9 5 5 5 7 7 5 5 5 9 6 1 9\n1 9 6 6 5 5 3 7 7 3 5 5 6 6 9 1\n6 6 9 1 5 3 7 3 3 7 3 5 1 9 6 6\n9 6 1 6 7 7 3 3 3 3 7 7 6 1 6 9\n9 6 1 6 7 7 3 3 3 3 7 7 6 1 6 9\n6 6 9 1 5 3 7 3 3 7 3 5 1 9 6 6\n1 9 6 6 5 5 3 7 7 3 5 5 6 6 9 1\n9 1 6 9 5 5 5 7 7 5 5 5 9 6 1 9\n5 6 9 6 9 6 1 6 6 1 6 9 6 9 6 5\n9 5 5 9 6 6 9 1 1 9 6 6 9 5 5 9\n9 6 5 6 1 9 6 6 6 6 9 1 6 5 6 9\n6 9 9 5 9 1 6 9 9 6 1 9 5 9 9 6\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n6 7 0 7 4 1 4 1 1 4 1 4 7 0 7 6\n7 7 6 6 1 4 6 6 6 6 4 1 6 6 7 7\n0 6 6 0 4 6 4 4 4 4 6 4 0 6 6 0\n7 6 0 7 1 6 4 4 4 4 6 1 7 0 6 7\n4 1 4 1 7 9 7 9 9 7 9 7 1 4 1 4\n1 4 6 6 9 5 9 7 7 9 5 9 8 8 8 1\n4 6 4 4 7 9 9 9 9 9 9 7 8 8 8 4\n1 6 4 4 9 7 9 7 7 9 7 9 8 8 8 1\n1 6 4 4 9 7 9 7 7 9 7 9 8 8 8 1\n4 6 4 4 7 9 9 9 9 9 9 7 4 4 6 4\n1 4 6 6 9 5 9 7 7 9 5 8 8 8 8 1\n4 1 4 1 7 9 7 9 9 7 9 8 8 8 8 4\n7 6 0 7 1 6 4 4 4 4 6 1 7 0 6 7\n0 6 6 0 4 6 4 4 4 4 6 4 0 6 6 0\n7 7 6 6 1 4 6 6 6 6 4 1 6 6 7 7\n6 7 0 7 4 1 4 1 1 4 1 4 7 0 7 6\n", "answer": "6 7 0 7 4 1 4 1 1 4 1 4 7 0 7 6\n7 7 6 6 1 4 6 6 6 6 4 1 6 6 7 7\n0 6 6 0 4 6 4 4 4 4 6 4 0 6 6 0\n7 6 0 7 1 6 4 4 4 4 6 1 7 0 6 7\n4 1 4 1 7 9 7 9 9 7 9 7 1 4 1 4\n1 4 6 6 9 5 9 7 7 9 5 9 6 6 4 1\n4 6 4 4 7 9 9 9 9 9 9 7 4 4 6 4\n1 6 4 4 9 7 9 7 7 9 7 9 4 4 6 1\n1 6 4 4 9 7 9 7 7 9 7 9 4 4 6 1\n4 6 4 4 7 9 9 9 9 9 9 7 4 4 6 4\n1 4 6 6 9 5 9 7 7 9 5 9 6 6 4 1\n4 1 4 1 7 9 7 9 9 7 9 7 1 4 1 4\n7 6 0 7 1 6 4 4 4 4 6 1 7 0 6 7\n0 6 6 0 4 6 4 4 4 4 6 4 0 6 6 0\n7 7 6 6 1 4 6 6 6 6 4 1 6 6 7 7\n6 7 0 7 4 1 4 1 1 4 1 4 7 0 7 6", "metadata": {"source_dataset": "arc_agi", "source_index": 55, "input": [[6, 7, 0, 7, 4, 1, 4, 1, 1, 4, 1, 4, 7, 0, 7, 6], [7, 7, 6, 6, 1, 4, 6, 6, 6, 6, 4, 1, 6, 6, 7, 7], [0, 6, 6, 0, 4, 6, 4, 4, 4, 4, 6, 4, 0, 6, 6, 0], [7, 6, 0, 7, 1, 6, 4, 4, 4, 4, 6, 1, 7, 0, 6, 7], [4, 1, 4, 1, 7, 9, 7, 9, 9, 7, 9, 7, 1, 4, 1, 4], [1, 4, 6, 6, 9, 5, 9, 7, 7, 9, 5, 9, 8, 8, 8, 1], [4, 6, 4, 4, 7, 9, 9, 9, 9, 9, 9, 7, 8, 8, 8, 4], [1, 6, 4, 4, 9, 7, 9, 7, 7, 9, 7, 9, 8, 8, 8, 1], [1, 6, 4, 4, 9, 7, 9, 7, 7, 9, 7, 9, 8, 8, 8, 1], [4, 6, 4, 4, 7, 9, 9, 9, 9, 9, 9, 7, 4, 4, 6, 4], [1, 4, 6, 6, 9, 5, 9, 7, 7, 9, 5, 8, 8, 8, 8, 1], [4, 1, 4, 1, 7, 9, 7, 9, 9, 7, 9, 8, 8, 8, 8, 4], [7, 6, 0, 7, 1, 6, 4, 4, 4, 4, 6, 1, 7, 0, 6, 7], [0, 6, 6, 0, 4, 6, 4, 4, 4, 4, 6, 4, 0, 6, 6, 0], [7, 7, 6, 6, 1, 4, 6, 6, 6, 6, 4, 1, 6, 6, 7, 7], [6, 7, 0, 7, 4, 1, 4, 1, 1, 4, 1, 4, 7, 0, 7, 6]], "output": [[6, 7, 0, 7, 4, 1, 4, 1, 1, 4, 1, 4, 7, 0, 7, 6], [7, 7, 6, 6, 1, 4, 6, 6, 6, 6, 4, 1, 6, 6, 7, 7], [0, 6, 6, 0, 4, 6, 4, 4, 4, 4, 6, 4, 0, 6, 6, 0], [7, 6, 0, 7, 1, 6, 4, 4, 4, 4, 6, 1, 7, 0, 6, 7], [4, 1, 4, 1, 7, 9, 7, 9, 9, 7, 9, 7, 1, 4, 1, 4], [1, 4, 6, 6, 9, 5, 9, 7, 7, 9, 5, 9, 6, 6, 4, 1], [4, 6, 4, 4, 7, 9, 9, 9, 9, 9, 9, 7, 4, 4, 6, 4], [1, 6, 4, 4, 9, 7, 9, 7, 7, 9, 7, 9, 4, 4, 6, 1], [1, 6, 4, 4, 9, 7, 9, 7, 7, 9, 7, 9, 4, 4, 6, 1], [4, 6, 4, 4, 7, 9, 9, 9, 9, 9, 9, 7, 4, 4, 6, 4], [1, 4, 6, 6, 9, 5, 9, 7, 7, 9, 5, 9, 6, 6, 4, 1], [4, 1, 4, 1, 7, 9, 7, 9, 9, 7, 9, 7, 1, 4, 1, 4], [7, 6, 0, 7, 1, 6, 4, 4, 4, 4, 6, 1, 7, 0, 6, 7], [0, 6, 6, 0, 4, 6, 4, 4, 4, 4, 6, 4, 0, 6, 6, 0], [7, 7, 6, 6, 1, 4, 6, 6, 6, 6, 4, 1, 6, 6, 7, 7], [6, 7, 0, 7, 4, 1, 4, 1, 1, 4, 1, 4, 7, 0, 7, 6]], "task_id": "903d1b4a", "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": 55, "input": [[6, 7, 0, 7, 4, 1, 4, 1, 1, 4, 1, 4, 7, 0, 7, 6], [7, 7, 6, 6, 1, 4, 6, 6, 6, 6, 4, 1, 6, 6, 7, 7], [0, 6, 6, 0, 4, 6, 4, 4, 4, 4, 6, 4, 0, 6, 6, 0], [7, 6, 0, 7, 1, 6, 4, 4, 4, 4, 6, 1, 7, 0, 6, 7], [4, 1, 4, 1, 7, 9, 7, 9, 9, 7, 9, 7, 1, 4, 1, 4], [1, 4, 6, 6, 9, 5, 9, 7, 7, 9, 5, 9, 8, 8, 8, 1], [4, 6, 4, 4, 7, 9, 9, 9, 9, 9, 9, 7, 8, 8, 8, 4], [1, 6, 4, 4, 9, 7, 9, 7, 7, 9, 7, 9, 8, 8, 8, 1], [1, 6, 4, 4, 9, 7, 9, 7, 7, 9, 7, 9, 8, 8, 8, 1], [4, 6, 4, 4, 7, 9, 9, 9, 9, 9, 9, 7, 4, 4, 6, 4], [1, 4, 6, 6, 9, 5, 9, 7, 7, 9, 5, 8, 8, 8, 8, 1], [4, 1, 4, 1, 7, 9, 7, 9, 9, 7, 9, 8, 8, 8, 8, 4], [7, 6, 0, 7, 1, 6, 4, 4, 4, 4, 6, 1, 7, 0, 6, 7], [0, 6, 6, 0, 4, 6, 4, 4, 4, 4, 6, 4, 0, 6, 6, 0], [7, 7, 6, 6, 1, 4, 6, 6, 6, 6, 4, 1, 6, 6, 7, 7], [6, 7, 0, 7, 4, 1, 4, 1, 1, 4, 1, 4, 7, 0, 7, 6]], "output": [[6, 7, 0, 7, 4, 1, 4, 1, 1, 4, 1, 4, 7, 0, 7, 6], [7, 7, 6, 6, 1, 4, 6, 6, 6, 6, 4, 1, 6, 6, 7, 7], [0, 6, 6, 0, 4, 6, 4, 4, 4, 4, 6, 4, 0, 6, 6, 0], [7, 6, 0, 7, 1, 6, 4, 4, 4, 4, 6, 1, 7, 0, 6, 7], [4, 1, 4, 1, 7, 9, 7, 9, 9, 7, 9, 7, 1, 4, 1, 4], [1, 4, 6, 6, 9, 5, 9, 7, 7, 9, 5, 9, 6, 6, 4, 1], [4, 6, 4, 4, 7, 9, 9, 9, 9, 9, 9, 7, 4, 4, 6, 4], [1, 6, 4, 4, 9, 7, 9, 7, 7, 9, 7, 9, 4, 4, 6, 1], [1, 6, 4, 4, 9, 7, 9, 7, 7, 9, 7, 9, 4, 4, 6, 1], [4, 6, 4, 4, 7, 9, 9, 9, 9, 9, 9, 7, 4, 4, 6, 4], [1, 4, 6, 6, 9, 5, 9, 7, 7, 9, 5, 9, 6, 6, 4, 1], [4, 1, 4, 1, 7, 9, 7, 9, 9, 7, 9, 7, 1, 4, 1, 4], [7, 6, 0, 7, 1, 6, 4, 4, 4, 4, 6, 1, 7, 0, 6, 7], [0, 6, 6, 0, 4, 6, 4, 4, 4, 4, 6, 4, 0, 6, 6, 0], [7, 7, 6, 6, 1, 4, 6, 6, 6, 6, 4, 1, 6, 6, 7, 7], [6, 7, 0, 7, 4, 1, 4, 1, 1, 4, 1, 4, 7, 0, 7, 6]], "task_id": "903d1b4a", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 5 5 3 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 Output: 5 5 3 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 Example 2: Input: 5 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 6 5 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 6 5 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 Output: 5 6 5 5 5 5 5 5 5 5 6 5 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 6 5 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 6 5 6 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 Example 3: Input: 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 Output: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 5 5 5 2 5 5 5 5 5 5 5 5 5 5 2 5 5 5 5 5 5 5 5 2 5 5 5 5 5 5 5 5 5 5 2 5 5 5 5 5 5 5 5 2 5 5 5 5 5 5 5 5 5 5 2 5 5 5 5 5 5 5 5 2 5 5 5 5 5 5 5 5 5 5 2 5 5 5 5 5	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 5 5 2 5 5 5 5 5 5\n5 5 5 5 2 5 5 5 5 5\n5 5 5 2 5 5 5 5 5 5\n5 5 5 5 2 5 5 5 5 5\n5 5 5 2 5 5 5 5 5 5\n5 5 5 5 2 5 5 5 5 5\n5 5 5 2 5 5 5 5 5 5\n5 5 5 5 2 5 5 5 5 5\n5 5 5 2 5 5 5 5 5 5\n5 5 5 5 2 5 5 5 5 5", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n5 5 3 5 5 5 5 5 5 5\n5 5 3 5 5 5 5 5 5 5\n5 5 3 5 5 5 5 5 5 5\n5 5 3 5 5 5 5 5 5 5\n5 5 3 5 5 5 5 5 5 5\nOutput:\n5 5 3 5 5 5 5 5 5 5\n5 5 3 5 5 5 5 5 5 5\n5 5 3 5 5 5 5 5 5 5\n5 5 3 5 5 5 5 5 5 5\n5 5 3 5 5 5 5 5 5 5\n5 5 3 5 5 5 5 5 5 5\n5 5 3 5 5 5 5 5 5 5\n5 5 3 5 5 5 5 5 5 5\n5 5 3 5 5 5 5 5 5 5\n5 5 3 5 5 5 5 5 5 5\n\nExample 2:\n\nInput:\n5 6 5 5 5 5 5 5 5 5\n5 6 5 5 5 5 5 5 5 5\n6 5 6 5 5 5 5 5 5 5\n5 6 5 5 5 5 5 5 5 5\n5 6 5 5 5 5 5 5 5 5\n6 5 6 5 5 5 5 5 5 5\n5 6 5 5 5 5 5 5 5 5\n5 6 5 5 5 5 5 5 5 5\nOutput:\n5 6 5 5 5 5 5 5 5 5\n6 5 6 5 5 5 5 5 5 5\n5 6 5 5 5 5 5 5 5 5\n5 6 5 5 5 5 5 5 5 5\n6 5 6 5 5 5 5 5 5 5\n5 6 5 5 5 5 5 5 5 5\n5 6 5 5 5 5 5 5 5 5\n6 5 6 5 5 5 5 5 5 5\n5 6 5 5 5 5 5 5 5 5\n5 6 5 5 5 5 5 5 5 5\n\nExample 3:\n\nInput:\n5 5 5 5 5 5 4 5 5 5\n5 5 5 5 4 4 4 5 5 5\n5 5 5 5 4 5 5 5 5 5\n5 5 4 4 4 5 5 5 5 5\n5 5 4 5 5 5 5 5 5 5\n4 4 4 5 5 5 5 5 5 5\nOutput:\n5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 4 4\n5 5 5 5 5 5 5 5 4 5\n5 5 5 5 5 5 4 4 4 5\n5 5 5 5 5 5 4 5 5 5\n5 5 5 5 4 4 4 5 5 5\n5 5 5 5 4 5 5 5 5 5\n5 5 4 4 4 5 5 5 5 5\n5 5 4 5 5 5 5 5 5 5\n4 4 4 5 5 5 5 5 5 5\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n5 5 5 2 5 5 5 5 5 5\n5 5 5 5 2 5 5 5 5 5\n5 5 5 2 5 5 5 5 5 5\n5 5 5 5 2 5 5 5 5 5\n5 5 5 2 5 5 5 5 5 5\n5 5 5 5 2 5 5 5 5 5\n5 5 5 2 5 5 5 5 5 5\n5 5 5 5 2 5 5 5 5 5\n", "answer": "5 5 5 2 5 5 5 5 5 5\n5 5 5 5 2 5 5 5 5 5\n5 5 5 2 5 5 5 5 5 5\n5 5 5 5 2 5 5 5 5 5\n5 5 5 2 5 5 5 5 5 5\n5 5 5 5 2 5 5 5 5 5\n5 5 5 2 5 5 5 5 5 5\n5 5 5 5 2 5 5 5 5 5\n5 5 5 2 5 5 5 5 5 5\n5 5 5 5 2 5 5 5 5 5", "metadata": {"source_dataset": "arc_agi", "source_index": 56, "input": [[5, 5, 5, 2, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 2, 5, 5, 5, 5, 5], [5, 5, 5, 2, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 2, 5, 5, 5, 5, 5], [5, 5, 5, 2, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 2, 5, 5, 5, 5, 5], [5, 5, 5, 2, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 2, 5, 5, 5, 5, 5]], "output": [[5, 5, 5, 2, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 2, 5, 5, 5, 5, 5], [5, 5, 5, 2, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 2, 5, 5, 5, 5, 5], [5, 5, 5, 2, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 2, 5, 5, 5, 5, 5], [5, 5, 5, 2, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 2, 5, 5, 5, 5, 5], [5, 5, 5, 2, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 2, 5, 5, 5, 5, 5]], "task_id": "53b68214", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}	{"source_dataset": "arc_agi", "source_index": 56, "input": [[5, 5, 5, 2, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 2, 5, 5, 5, 5, 5], [5, 5, 5, 2, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 2, 5, 5, 5, 5, 5], [5, 5, 5, 2, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 2, 5, 5, 5, 5, 5], [5, 5, 5, 2, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 2, 5, 5, 5, 5, 5]], "output": [[5, 5, 5, 2, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 2, 5, 5, 5, 5, 5], [5, 5, 5, 2, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 2, 5, 5, 5, 5, 5], [5, 5, 5, 2, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 2, 5, 5, 5, 5, 5], [5, 5, 5, 2, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 2, 5, 5, 5, 5, 5], [5, 5, 5, 2, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 2, 5, 5, 5, 5, 5]], "task_id": "53b68214", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
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 9 3 9 5 9 9 9 3 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 5 9 9 9 9 9 9 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 3 9 5 9 9 9 3 9 9 9 9 9 9 9 9 9 9 9 9 Output: 9 9 3 9 9 9 3 9 5 9 9 9 3 9 5 9 9 9 5 9 9 9 9 9 5 9 9 9 5 9 4 4 4 4 4 4 4 4 4 4 5 9 9 5 9 9 9 9 5 9 5 9 9 5 9 9 9 9 5 9 9 9 9 5 9 3 9 9 9 9 9 9 9 5 9 3 9 9 9 9 9 3 9 5 9 3 9 3 9 9 9 3 9 9 9 3 9 3 9 9 Example 2: Input: 9 9 9 9 9 9 9 3 9 9 9 9 9 3 9 9 9 9 9 9 5 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 3 9 9 5 9 9 9 3 9 9 9 9 9 9 9 9 9 9 9 Output: 9 9 9 3 9 9 9 3 9 9 9 9 9 3 9 9 9 9 9 9 5 9 9 9 9 9 9 9 5 9 5 9 9 9 9 9 9 9 5 9 5 9 9 9 9 9 9 9 5 9 4 4 4 4 4 4 4 4 4 4 9 9 9 9 5 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 3 9 9 5 9 9 9 3 9 9 3 9 9 9 9 9 9 3 9 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 9 9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 3 9 5 9 9 9 9 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 4 4 4 4 4 4 4 4 4 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 3 9 9 9 9 9 9 9 9 9 9 9 5 9 3 9 9 9 9 9 9 9 9	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "9 9 9 3 9 9 3 9 9 9\n9 5 9 3 9 9 3 9 5 9\n9 5 9 3 9 9 9 9 5 9\n9 5 9 9 9 9 9 9 5 9\n4 4 4 4 4 4 4 4 4 4\n9 9 9 9 5 9 9 9 9 5\n9 9 9 9 5 9 9 9 9 5\n9 9 9 9 5 9 9 3 9 5\n9 9 9 9 9 9 9 3 9 5\n9 3 9 9 9 9 9 3 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 3 9 5 9\n9 9 3 9 5 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 9 9\n5 9 9 9 9 9 9 9 5 9\n9 9 9 9 9 3 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n9 3 9 5 9 9 9 3 9 9\n9 9 9 9 9 9 9 9 9 9\nOutput:\n9 9 3 9 9 9 3 9 5 9\n9 9 3 9 5 9 9 9 5 9\n9 9 9 9 5 9 9 9 5 9\n4 4 4 4 4 4 4 4 4 4\n5 9 9 5 9 9 9 9 5 9\n5 9 9 5 9 9 9 9 5 9\n9 9 9 5 9 3 9 9 9 9\n9 9 9 5 9 3 9 9 9 9\n9 3 9 5 9 3 9 3 9 9\n9 3 9 9 9 3 9 3 9 9\n\nExample 2:\n\nInput:\n9 9 9 9 9 9 9 3 9 9\n9 9 9 3 9 9 9 9 9 9\n5 9 9 9 9 9 9 9 5 9\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n9 3 9 9 5 9 9 9 3 9\n9 9 9 9 9 9 9 9 9 9\nOutput:\n9 9 9 3 9 9 9 3 9 9\n9 9 9 3 9 9 9 9 9 9\n5 9 9 9 9 9 9 9 5 9\n5 9 9 9 9 9 9 9 5 9\n5 9 9 9 9 9 9 9 5 9\n4 4 4 4 4 4 4 4 4 4\n9 9 9 9 5 9 9 9 9 9\n9 9 9 9 5 9 9 9 9 9\n9 3 9 9 5 9 9 9 3 9\n9 3 9 9 9 9 9 9 3 9\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n9 9 9 9 9 9 9 9 9 9\n9 5 9 9 9 9 3 9 5 9\n9 9 9 3 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n4 4 4 4 4 4 4 4 4 4\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 5 9 9 3 9 9\n9 9 9 9 9 9 9 9 9 5\n9 3 9 9 9 9 9 9 9 9\n", "answer": "9 9 9 3 9 9 3 9 9 9\n9 5 9 3 9 9 3 9 5 9\n9 5 9 3 9 9 9 9 5 9\n9 5 9 9 9 9 9 9 5 9\n4 4 4 4 4 4 4 4 4 4\n9 9 9 9 5 9 9 9 9 5\n9 9 9 9 5 9 9 9 9 5\n9 9 9 9 5 9 9 3 9 5\n9 9 9 9 9 9 9 3 9 5\n9 3 9 9 9 9 9 3 9 9", "metadata": {"source_dataset": "arc_agi", "source_index": 57, "input": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 5, 9, 9, 9, 9, 3, 9, 5, 9], [9, 9, 9, 3, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 5, 9, 9, 3, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 5], [9, 3, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[9, 9, 9, 3, 9, 9, 3, 9, 9, 9], [9, 5, 9, 3, 9, 9, 3, 9, 5, 9], [9, 5, 9, 3, 9, 9, 9, 9, 5, 9], [9, 5, 9, 9, 9, 9, 9, 9, 5, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 5, 9, 9, 9, 9, 5], [9, 9, 9, 9, 5, 9, 9, 9, 9, 5], [9, 9, 9, 9, 5, 9, 9, 3, 9, 5], [9, 9, 9, 9, 9, 9, 9, 3, 9, 5], [9, 3, 9, 9, 9, 9, 9, 3, 9, 9]], "task_id": "8d510a79", "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": 57, "input": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 5, 9, 9, 9, 9, 3, 9, 5, 9], [9, 9, 9, 3, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 5, 9, 9, 3, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 5], [9, 3, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[9, 9, 9, 3, 9, 9, 3, 9, 9, 9], [9, 5, 9, 3, 9, 9, 3, 9, 5, 9], [9, 5, 9, 3, 9, 9, 9, 9, 5, 9], [9, 5, 9, 9, 9, 9, 9, 9, 5, 9], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [9, 9, 9, 9, 5, 9, 9, 9, 9, 5], [9, 9, 9, 9, 5, 9, 9, 9, 9, 5], [9, 9, 9, 9, 5, 9, 9, 3, 9, 5], [9, 9, 9, 9, 9, 9, 9, 3, 9, 5], [9, 3, 9, 9, 9, 9, 9, 3, 9, 9]], "task_id": "8d510a79", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 6 6 4 4 4 4 2 4 4 2 4 4 4 6 6 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 6 6 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 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 Output: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 6 6 2 4 4 4 4 4 4 4 4 4 2 6 6 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 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 6 6 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 2 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Example 2: Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 6 6 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 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 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Output: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 6 6 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 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 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 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Example 3: Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 4 4 2 4 4 4 4 6 6 4 4 6 6 4 4 4 4 2 4 4 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Output: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 2 4 4 4 4 4 4 6 6 4 4 6 6 4 4 4 4 4 4 2 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 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 2 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 4 4 4 2 4 4 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 6 6 4 4 2 4 4 4 6 6 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 6 6 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 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\n4 4 4 4 4 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 6 6 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 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\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 6 6 4 4 4 4 4 2 6 6 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 2 6 6 2 4 4 4 4 4 6 6 2 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 6 6 4 4 4 4 4 4\n4 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\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 2 4 4 6 6 4 4 4 4 2 4 4 2 4 4 4 6 6 4 4 4 4 2 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 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\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 6 6 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 2 4 4 4 6 6 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 6 6 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\nOutput:\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 6 6 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 2 6 6 2 4 4 4 4 4 4 4 4 4 2 6 6 2 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 6 6 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 6 6 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 2 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 6 6 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n\nExample 2:\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4\n4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 2 4 4 4 4 6 6 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 6 6 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 4 4 4 4 4 2 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 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\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\nOutput:\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 2 6 6 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 2 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 2 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 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\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n\nExample 3:\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 6 6 4 4 2 4 4 4 4 6 6 4\n4 6 6 4 4 4 4 2 4 4 6 6 4\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 2 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4\nOutput:\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 6 6 2 4 4 4 4 4 4 6 6 4\n4 6 6 4 4 4 4 4 4 2 6 6 4\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 2 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4\n4 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\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 6 6 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4\n4 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\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 6 6 4 4 4 2 4 4 6 6 4 4 4 4 4 4 4 4 4 4 4\n4 4 2 4 4 4 4 4 4 6 6 4 4 2 4 4 4 6 6 4 4 4 2 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 6 6 4 4 4 4 4 4\n4 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\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n", "answer": "4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 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\n4 4 4 4 4 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 6 6 2 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 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\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 2 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 6 6 4 4 4 4 4 2 6 6 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 2 6 6 2 4 4 4 4 4 6 6 2 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 6 6 4 4 4 4 4 4\n4 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\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4", "metadata": {"source_dataset": "arc_agi", "source_index": 58, "input": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 2, 4, 4, 4, 4], [4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 6, 6, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4], [4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4, 4, 2, 4, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 2, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4, 2, 4, 4, 4, 6, 6, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 4, 4], [4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "output": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 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, 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, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 6, 6, 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, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 4, 2, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 2, 6, 6, 2, 4, 4, 4, 4, 4, 6, 6, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 6, 6, 4, 4, 4, 4, 4, 4], [4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "task_id": "e1d2900e", "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": 58, "input": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 2, 4, 4, 4, 4], [4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 6, 6, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4], [4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4, 4, 2, 4, 4, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 2, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4, 2, 4, 4, 4, 6, 6, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 4, 4], [4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "output": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 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, 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, 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, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 6, 6, 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, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 4, 2, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 2, 6, 6, 2, 4, 4, 4, 4, 4, 6, 6, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 6, 6, 4, 4, 4, 4, 4, 4], [4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "task_id": "e1d2900e", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 7 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 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Output: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 7 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 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 7 5 5 5 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 5 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 6 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 7 5 5 5 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 5 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 6 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 7 5 5 5 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 5 5 5 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 5 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Example 2: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 7 3 0 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 2 2 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 2 2 2 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 2 2 2 2 1 1 1 1 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Output: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 2 2 2 2 2 2 2 2 7 3 0 2 2 2 0 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 0 3 7 7 7 7 2 2 2 2 2 2 0 0 0 0 2 2 0 3 7 7 7 7 2 2 2 2 2 3 3 3 3 0 2 2 2 3 7 7 7 7 2 2 2 2 7 7 7 7 3 0 2 2 2 2 7 7 7 7 2 2 2 0 0 0 0 7 3 0 2 2 2 2 2 2 2 2 2 2 3 3 3 3 0 7 3 2 2 2 2 2 2 2 2 2 2 7 7 7 7 3 0 7 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 3 0 2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 3 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Example 3: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 7 0 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Output: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 7 0 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 6 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 0 6 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 7 0 6 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 3 7 0 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 6 3 7 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 0 6 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 7 0 6 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 3 7 0 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 6 3 7 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 0 6 3 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 7 0 6 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 7 0 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 0 5 7 6 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 6 6 6 6 6 2 2 2 2 2 2 2 0 5 7 6 2 2 2 2 2 2\n2 6 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 6 7 5 5 5 5 5 2 2 2 2 2 2 2 2 2 6 6 6 6 6 2\n2 6 7 5 0 0 0 0 0 2 2 2 2 2 2 2 7 7 7 7 7 6 2\n2 6 7 5 0 0 0 0 0 2 2 2 2 2 2 5 5 5 5 5 7 6 2\n2 2 7 5 0 0 0 0 0 2 2 2 2 2 0 0 0 0 0 5 7 6 2\n2 2 2 5 0 0 0 0 0 2 2 2 2 6 6 6 6 6 0 5 7 6 2\n2 2 2 2 0 0 0 0 0 2 2 2 7 7 7 7 7 6 0 5 7 2 2\n2 2 2 2 2 2 2 2 2 2 2 5 5 5 5 5 7 6 0 5 2 2 2\n2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 5 7 6 0 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 5 7 6 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 5 7 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 5 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 7 6 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 5 5 5 7 6 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 5 7 6 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 0 5 7 6 2\n2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 7 6 0 5 7 2 2\n2 2 2 2 2 2 2 2 2 2 2 5 5 5 5 5 7 6 0 5 2 2 2\n2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 5 7 6 0 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 5 7 6 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 5 7 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 5 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 2 2 2 2 2 2 2 2", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 5 7 6 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 1 1 1 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\nOutput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 5 7 6 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 6 6 6 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 6 7 7 7 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 6 7 5 5 5 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 7 5 6 6 6 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 5 6 7 7 7 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 6 7 5 5 5 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 7 5 6 6 6 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 5 6 7 7 7 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 6 7 5 5 5 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 7 5 5 5 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 5 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n\nExample 2:\n\nInput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 1 1 1 1 2 2 2 2 2 2 2 2 7 3 0 2 2\n2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2\n2 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 2\n2 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 2\n2 2 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 2\n2 2 2 1 1 1 1 2 2 2 1 1 1 1 1 1 1 2\n2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2\n2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2\n2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2\n2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2\n2 2 2 2 2 2 2 2 1 1 1 1 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\nOutput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 0 0 0 0 2 2 2 2 2 2 2 2 7 3 0 2 2\n2 0 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2\n2 0 3 7 7 7 7 2 2 2 2 2 2 0 0 0 0 2\n2 0 3 7 7 7 7 2 2 2 2 2 3 3 3 3 0 2\n2 2 3 7 7 7 7 2 2 2 2 7 7 7 7 3 0 2\n2 2 2 7 7 7 7 2 2 2 0 0 0 0 7 3 0 2\n2 2 2 2 2 2 2 2 2 3 3 3 3 0 7 3 2 2\n2 2 2 2 2 2 2 2 7 7 7 7 3 0 7 2 2 2\n2 2 2 2 2 2 2 2 7 7 7 7 3 0 2 2 2 2\n2 2 2 2 2 2 2 2 7 7 7 7 3 2 2 2 2 2\n2 2 2 2 2 2 2 2 7 7 7 7 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n\nExample 3:\n\nInput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 7 0 6 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2\n2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2\n2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2\n2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2\n2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2\n2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2\n2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2\n2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2\n2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2\n2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2\n2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2\n2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\nOutput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 7 0 6 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 6 2\n2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 0 6 2\n2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 7 0 6 2\n2 2 2 2 2 2 2 2 2 2 6 6 6 6 3 7 0 2 2\n2 2 2 2 2 2 2 2 2 0 0 0 0 6 3 7 2 2 2\n2 2 2 2 2 2 2 2 7 7 7 7 0 6 3 2 2 2 2\n2 2 2 2 2 2 2 3 3 3 3 7 0 6 2 2 2 2 2\n2 2 2 2 2 2 6 6 6 6 3 7 0 2 2 2 2 2 2\n2 2 2 2 2 0 0 0 0 6 3 7 2 2 2 2 2 2 2\n2 2 2 2 7 7 7 7 0 6 3 2 2 2 2 2 2 2 2\n2 2 2 3 3 3 3 7 0 6 2 2 2 2 2 2 2 2 2\n2 2 2 3 3 3 3 7 0 2 2 2 2 2 2 2 2 2 2\n2 2 2 3 3 3 3 7 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 1 1 1 1 1 2 2 2 2 2 2 2 0 5 7 6 2 2 2 2 2 2\n2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2\n2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 2\n2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 1 1 1 1 1 1 2\n2 2 1 1 1 1 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1 2\n2 2 2 1 1 1 1 1 1 2 2 2 2 1 1 1 1 1 1 1 1 1 2\n2 2 2 2 1 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2\n2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2\n2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2\n2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2\n2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 2 2 2\n", "answer": "2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 6 6 6 6 6 2 2 2 2 2 2 2 0 5 7 6 2 2 2 2 2 2\n2 6 7 7 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 6 7 5 5 5 5 5 2 2 2 2 2 2 2 2 2 6 6 6 6 6 2\n2 6 7 5 0 0 0 0 0 2 2 2 2 2 2 2 7 7 7 7 7 6 2\n2 6 7 5 0 0 0 0 0 2 2 2 2 2 2 5 5 5 5 5 7 6 2\n2 2 7 5 0 0 0 0 0 2 2 2 2 2 0 0 0 0 0 5 7 6 2\n2 2 2 5 0 0 0 0 0 2 2 2 2 6 6 6 6 6 0 5 7 6 2\n2 2 2 2 0 0 0 0 0 2 2 2 7 7 7 7 7 6 0 5 7 2 2\n2 2 2 2 2 2 2 2 2 2 2 5 5 5 5 5 7 6 0 5 2 2 2\n2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 5 7 6 0 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 5 7 6 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 5 7 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 5 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 7 6 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 5 5 5 5 7 6 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 5 7 6 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 6 6 0 5 7 6 2\n2 2 2 2 2 2 2 2 2 2 2 2 7 7 7 7 7 6 0 5 7 2 2\n2 2 2 2 2 2 2 2 2 2 2 5 5 5 5 5 7 6 0 5 2 2 2\n2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 5 7 6 0 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 5 7 6 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 5 7 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 5 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 0 0 0 0 0 2 2 2 2 2 2 2 2", "metadata": {"source_dataset": "arc_agi", "source_index": 59, "input": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 5, 7, 6, 2, 2, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2], [2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2], [2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2], [2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2], [2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2], [2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2]], "output": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 0, 5, 7, 6, 2, 2, 2, 2, 2, 2], [2, 6, 7, 7, 7, 7, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 6, 7, 5, 5, 5, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 2], [2, 6, 7, 5, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 6, 2], [2, 6, 7, 5, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 7, 6, 2], [2, 2, 7, 5, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 5, 7, 6, 2], [2, 2, 2, 5, 0, 0, 0, 0, 0, 2, 2, 2, 2, 6, 6, 6, 6, 6, 0, 5, 7, 6, 2], [2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 7, 7, 7, 7, 7, 6, 0, 5, 7, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 7, 6, 0, 5, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 5, 7, 6, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 5, 7, 6, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 5, 7, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 5, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 6, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 7, 6, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 5, 7, 6, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 0, 5, 7, 6, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 6, 0, 5, 7, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 7, 6, 0, 5, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 5, 7, 6, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 5, 7, 6, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 5, 7, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 5, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2]], "task_id": "b457fec5", "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": 59, "input": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 5, 7, 6, 2, 2, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2], [2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2], [2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2], [2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2], [2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2], [2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2]], "output": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 0, 5, 7, 6, 2, 2, 2, 2, 2, 2], [2, 6, 7, 7, 7, 7, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 6, 7, 5, 5, 5, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 2], [2, 6, 7, 5, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 6, 2], [2, 6, 7, 5, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 7, 6, 2], [2, 2, 7, 5, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 5, 7, 6, 2], [2, 2, 2, 5, 0, 0, 0, 0, 0, 2, 2, 2, 2, 6, 6, 6, 6, 6, 0, 5, 7, 6, 2], [2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 7, 7, 7, 7, 7, 6, 0, 5, 7, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 7, 6, 0, 5, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 5, 7, 6, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 5, 7, 6, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 5, 7, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 5, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 6, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 7, 6, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 5, 7, 6, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 0, 5, 7, 6, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 6, 0, 5, 7, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 7, 6, 0, 5, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 5, 7, 6, 0, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 5, 7, 6, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 5, 7, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 5, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2]], "task_id": "b457fec5", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 0 6 8 8 8 8 8 8 8 8 8 8 6 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 6 8 8 8 8 8 8 8 8 8 8 6 0 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 Output: 9 9 9 9 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 4 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 0 2 0 8 8 8 8 8 8 8 8 8 8 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 0 7 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 2 0 8 8 8 8 8 4 8 8 8 8 0 0 0 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Output: 7 7 7 0 7 0 Example 3: Input: 3 8 8 8 5 8 8 8 8 8 8 3 8 8 8 5 8 8 8 8 8 8 3 8 8 8 5 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 8 8 5 8 8 8 8 0 8 8 8 5 8 8 8 8 8 8 0 8 8 8 5 8 8 8 8 3 8 0 8 8 8 5 8 8 8 8 3 8 0 8 8 8 5 8 8 8 8 3 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 Output: 0 0 0 0 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 5 5 5 8 8 8 3 3 8 8 8 8 8 8 8 8 8 8 8 3 3 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 3 3 8 8 8 8 8 8 8 8 8 8 8 3 3 8 8 8 8 6 3 8 8 8 8 8 8 8 8 8 8 8 6 6 8 8 8 8 8 8 8 8 8 8 8 3 6 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	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "6 3\n6 6\n3 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:\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 9 9 8 8 8 8 8 8\n8 8 8 8 9 9 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n4 4 4 8 8 8 8 8 0 6 8 8\n8 8 8 8 8 8 8 8 6 0 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8\n8 8 0 6 8 8 8 8 8 8 8 8\n8 8 6 0 8 8 8 8 4 4 4 8\n8 8 8 8 8 8 8 8 8 8 8 8\nOutput:\n9 9\n9 9\n\nExample 2:\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 4 8 8 8 8 8\n8 8 8 8 8 8 4 4 4 8 8 8 8\n8 0 2 0 8 8 8 8 8 8 8 8 8\n8 0 0 0 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 7 7 7 8\n8 8 8 8 8 8 8 8 8 0 7 0 8\n8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 0 2 0 8 8\n8 8 8 4 8 8 8 8 0 0 0 8 8\n8 8 4 4 4 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8\nOutput:\n7 7 7\n0 7 0\n\nExample 3:\n\nInput:\n3 8 8 8 5 8 8 8 8 8 8\n3 8 8 8 5 8 8 8 8 8 8\n3 8 8 8 5 8 8 8 8 8 8\n8 8 8 8 5 8 8 8 8 8 8\n8 8 8 8 5 8 8 8 8 0 8\n8 8 5 8 8 8 8 8 8 0 8\n8 8 5 8 8 8 8 3 8 0 8\n8 8 5 8 8 8 8 3 8 0 8\n8 8 5 8 8 8 8 3 8 8 8\n8 8 5 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8\nOutput:\n0\n0\n0\n0\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 5 5 5 8\n8 8 3 3 8 8 8 8 8 8 8 8 8\n8 8 3 3 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8\n8 3 3 8 8 8 8 8 8 8 8 8 8\n8 3 3 8 8 8 8 6 3 8 8 8 8\n8 8 8 8 8 8 8 6 6 8 8 8 8\n8 8 8 8 8 8 8 3 6 8 8 8 8\n8 5 5 5 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8\n", "answer": "6 3\n6 6\n3 6", "metadata": {"source_dataset": "arc_agi", "source_index": 60, "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, 5, 5, 5, 8], [8, 8, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 3, 3, 8, 8, 8, 8, 6, 3, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 3, 6, 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]], "output": [[6, 3], [6, 6], [3, 6]], "task_id": "cd3c21df", "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": 60, "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, 5, 5, 5, 8], [8, 8, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 3, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 3, 3, 8, 8, 8, 8, 6, 3, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 6, 6, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 3, 6, 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]], "output": [[6, 3], [6, 6], [3, 6]], "task_id": "cd3c21df", "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 8 9 9 9 9 Output: 9 9 9 9 8 9 9 8 8 Example 2: Input: 9 9 9 9 9 9 9 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 5 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 9 9 9 9 9 9 9 6 9 9 9 9 9 6 9 9 9 9 9 6 9 9 5 9 9 6 9 9 5 9 9 6 6 6 5 5 Example 3: Input: 9 9 9 9 9 9 9 9 9 9 3 9 9 9 9 6 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 9 9 9 9 9 9 9 9 9 9 3 9 9 9 9 6 9 3 9 8 9 9 6 9 3 9 8 9 9 6 6 3 3 8 8 Example 4: Input: 9 9 9 9 9 9 9 9 9 0 9 9 9 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 9 9 9 9 9 9 9 9 9 0 9 9 9 7 9 0 9 9 9 7 9 0 9 9 9 7 9 0 9 9 9 7 7 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: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 3 9 9 9 9 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "9 9 9 9 9 9 9\n9 9 9 9 9 9 9\n9 9 3 9 9 9 9\n6 9 3 9 9 9 9\n6 9 3 9 9 9 9\n6 9 3 9 7 9 9\n6 9 3 9 7 9 9\n6 6 3 3 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:\n9 9 9\n9 8 9\n9 9 9\nOutput:\n9 9 9\n9 8 9\n9 8 8\n\nExample 2:\n\nInput:\n9 9 9 9 9 9\n9 6 9 9 9 9\n9 9 9 9 9 9\n9 9 9 9 5 9\n9 9 9 9 9 9\n9 9 9 9 9 9\nOutput:\n9 9 9 9 9 9\n9 6 9 9 9 9\n9 6 9 9 9 9\n9 6 9 9 5 9\n9 6 9 9 5 9\n9 6 6 6 5 5\n\nExample 3:\n\nInput:\n9 9 9 9 9 9 9\n9 9 9 3 9 9 9\n9 6 9 9 9 8 9\n9 9 9 9 9 9 9\n9 9 9 9 9 9 9\nOutput:\n9 9 9 9 9 9 9\n9 9 9 3 9 9 9\n9 6 9 3 9 8 9\n9 6 9 3 9 8 9\n9 6 6 3 3 8 8\n\nExample 4:\n\nInput:\n9 9 9 9 9 9\n9 9 9 0 9 9\n9 7 9 9 9 9\n9 9 9 9 9 9\n9 9 9 9 9 9\n9 9 9 9 9 9\nOutput:\n9 9 9 9 9 9\n9 9 9 0 9 9\n9 7 9 0 9 9\n9 7 9 0 9 9\n9 7 9 0 9 9\n9 7 7 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:\n9 9 9 9 9 9 9\n9 9 9 9 9 9 9\n9 9 3 9 9 9 9\n6 9 9 9 9 9 9\n9 9 9 9 9 9 9\n9 9 9 9 7 9 9\n9 9 9 9 9 9 9\n9 9 9 9 9 9 9\n", "answer": "9 9 9 9 9 9 9\n9 9 9 9 9 9 9\n9 9 3 9 9 9 9\n6 9 3 9 9 9 9\n6 9 3 9 9 9 9\n6 9 3 9 7 9 9\n6 9 3 9 7 9 9\n6 6 3 3 7 7 7", "metadata": {"source_dataset": "arc_agi", "source_index": 61, "input": [[9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [9, 9, 3, 9, 9, 9, 9], [6, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 7, 9, 9], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9]], "output": [[9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [9, 9, 3, 9, 9, 9, 9], [6, 9, 3, 9, 9, 9, 9], [6, 9, 3, 9, 9, 9, 9], [6, 9, 3, 9, 7, 9, 9], [6, 9, 3, 9, 7, 9, 9], [6, 6, 3, 3, 7, 7, 7]], "task_id": "99fa7670", "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": 61, "input": [[9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [9, 9, 3, 9, 9, 9, 9], [6, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 7, 9, 9], [9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9]], "output": [[9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9], [9, 9, 3, 9, 9, 9, 9], [6, 9, 3, 9, 9, 9, 9], [6, 9, 3, 9, 9, 9, 9], [6, 9, 3, 9, 7, 9, 9], [6, 9, 3, 9, 7, 9, 9], [6, 6, 3, 3, 7, 7, 7]], "task_id": "99fa7670", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 8 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 4 6 6 6 6 6 6 6 6 6 6 6 4 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 3 6 6 6 6 6 6 6 3 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 3 6 6 6 6 6 6 6 3 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 4 6 6 6 6 6 6 6 6 6 6 6 4 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Example 2: Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Output: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 6 4 6 4 6 4 6 4 6 4 6 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 6 4 6 4 6 4 6 4 6 4 6 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Example 3: Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 3 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 3 6 4 6 4 6 4 6 4 6 4 6 4 6 4 6 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 5 6 6 6 6 6 6 6 6 6 6 6 5 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 5 6 6 6 6 6 6 6 6 6 6 6 5 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 3 6 4 6 4 6 4 6 4 6 4 6 4 6 4 6 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 3 6 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 4 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 4 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 6 5 6 6 6 6 6 6 6 6 6 6 6 5 6 9 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 6 6 6 8 6 3 6 3 6 3 6 8 6 6 6 9 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 6 6 6 3 6 6 6 6 6 6 6 3 6 6 6 9 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 6 6 6 3 6 6 6 6 6 6 6 3 6 6 6 9 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 6 6 6 3 6 6 6 6 6 6 6 3 6 6 6 9 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 6 6 6 8 6 3 6 3 6 3 6 8 6 6 6 9 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 6 5 6 6 6 6 6 6 6 6 6 6 6 5 6 9 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 4 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 4 6\n6 6 6 6 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\n6 8 6 9 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\n6 9 6 4 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\n6 6 6 6 6 3 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\n6 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\n6 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\n6 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\n6 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\n6 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\n6 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\nOutput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 8 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 8 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 6 4 6 6 6 6 6 6 6 6 6 6 6 4 6 9 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 6 6 6 3 6 6 6 6 6 6 6 3 6 6 6 9 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 6 6 6 3 6 6 6 6 6 6 6 3 6 6 6 9 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 6 4 6 6 6 6 6 6 6 6 6 6 6 4 6 9 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 8 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 8 6\n6 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\n6 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\n6 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\n6 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\n6 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\n6 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\n6 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\n6 6 6 4 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\n6 6 6 8 6 4 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\n6 9 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\nOutput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 8 6 4 6 4 6 4 6 4 6 4 6 8 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 8 6 4 6 4 6 4 6 4 6 4 6 8 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n\nExample 3:\n\nInput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 3 6 4 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\n6 4 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 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\n6 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\n6 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\n6 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\n6 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\n6 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\n6 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\nOutput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 3 6 4 6 4 6 4 6 4 6 4 6 4 6 4 6 3 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 4 6 5 6 6 6 6 6 6 6 6 6 6 6 5 6 4 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 4 6 5 6 6 6 6 6 6 6 6 6 6 6 5 6 4 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 3 6 4 6 4 6 4 6 4 6 4 6 4 6 4 6 3 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 4 6\n6 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 5 6 9 6\n6 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 3 6 8 6 6 6 6 6\n6 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 3 6 6 6 6 6\n6 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\n6 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\n6 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\n6 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\n6 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\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n", "answer": "6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 4 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 4 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 6 5 6 6 6 6 6 6 6 6 6 6 6 5 6 9 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 6 6 6 8 6 3 6 3 6 3 6 8 6 6 6 9 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 6 6 6 3 6 6 6 6 6 6 6 3 6 6 6 9 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 6 6 6 3 6 6 6 6 6 6 6 3 6 6 6 9 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 6 6 6 3 6 6 6 6 6 6 6 3 6 6 6 9 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 6 6 6 8 6 3 6 3 6 3 6 8 6 6 6 9 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 6 5 6 6 6 6 6 6 6 6 6 6 6 5 6 9 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 4 6 9 6 9 6 9 6 9 6 9 6 9 6 9 6 4 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6", "metadata": {"source_dataset": "arc_agi", "source_index": 62, "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, 9, 6, 4, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 9, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 8, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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, 4, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 4, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 9, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 9, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 9, 6, 6, 6, 8, 6, 3, 6, 3, 6, 3, 6, 8, 6, 6, 6, 9, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 9, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 9, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 9, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 9, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 9, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 9, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 9, 6, 6, 6, 8, 6, 3, 6, 3, 6, 3, 6, 8, 6, 6, 6, 9, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 9, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 9, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 4, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 4, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_id": "9d9215db", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}	{"source_dataset": "arc_agi", "source_index": 62, "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, 9, 6, 4, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 9, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 8, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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, 4, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 4, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 9, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 9, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 9, 6, 6, 6, 8, 6, 3, 6, 3, 6, 3, 6, 8, 6, 6, 6, 9, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 9, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 9, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 9, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 9, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 9, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 9, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 9, 6, 6, 6, 8, 6, 3, 6, 3, 6, 3, 6, 8, 6, 6, 6, 9, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 9, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 9, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 4, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 9, 6, 4, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_id": "9d9215db", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 4 4 3 3 4 4 1 3 3 3 4 4 3 4 4 4 3 4 3 1 4 3 4 4 4 4 4 3 4 4 4 4 1 4 4 3 3 4 4 3 4 3 4 4 4 1 4 4 4 4 3 3 3 3 3 3 3 4 1 4 4 4 4 3 4 Output: 6 6 4 6 4 6 4 6 4 6 4 6 4 6 6 6 4 4 6 4 6 4 6 6 6 6 6 6 4 4 Example 2: Input: 3 3 3 4 3 3 1 3 4 3 4 4 4 3 4 4 3 3 4 1 4 4 3 4 3 3 4 3 4 4 3 3 1 4 3 4 3 4 3 3 3 4 3 4 4 1 3 4 4 4 3 4 3 3 4 4 3 4 1 3 3 4 3 3 3 Output: 4 6 4 4 6 6 6 4 6 6 4 6 4 4 4 6 6 4 4 6 4 6 6 4 4 4 4 6 4 6 Example 3: Input: 4 3 4 4 4 3 1 3 4 3 3 3 3 3 3 3 3 3 4 1 4 3 4 4 3 4 4 4 3 3 3 3 1 3 3 3 4 4 3 3 3 3 4 3 4 1 3 4 4 4 3 3 4 3 4 4 3 3 1 3 4 3 3 4 4 Output: 6 6 6 6 6 4 6 4 6 6 4 4 6 6 4 6 6 4 4 6 6 4 4 6 6 6 6 6 6 6 Example 4: Input: 4 4 3 4 3 3 1 4 4 3 4 4 4 3 4 4 4 3 3 1 4 4 4 4 3 3 3 4 3 3 3 4 1 4 3 4 4 4 3 3 4 3 3 3 4 1 4 4 4 3 3 3 3 3 3 4 4 3 1 4 4 3 4 4 4 Output: 4 4 4 4 6 6 6 4 4 4 4 4 6 6 6 6 6 6 6 4 6 4 4 6 6 6 4 4 4 6 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 3 3 3 3 4 3 1 4 3 3 4 3 3 4 4 3 3 3 3 1 4 4 3 3 4 4 3 4 3 3 3 3 1 4 4 3 3 3 3 3 3 4 3 4 3 1 3 4 4 4 3 3 4 3 4 3 4 3 1 3 3 3 4 4 3	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "6 4 4 6 6 4\n4 4 4 4 6 6\n6 4 4 4 4 4\n4 6 4 6 6 4\n6 4 6 6 4 4", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n4 4 3 3 4 4 1 3 3 3 4 4 3\n4 4 4 3 4 3 1 4 3 4 4 4 4\n4 3 4 4 4 4 1 4 4 3 3 4 4\n3 4 3 4 4 4 1 4 4 4 4 3 3\n3 3 3 3 3 4 1 4 4 4 4 3 4\nOutput:\n6 6 4 6 4 6\n4 6 4 6 4 6\n4 6 6 6 4 4\n6 4 6 4 6 6\n6 6 6 6 4 4\n\nExample 2:\n\nInput:\n3 3 3 4 3 3 1 3 4 3 4 4 4\n3 4 4 3 3 4 1 4 4 3 4 3 3\n4 3 4 4 3 3 1 4 3 4 3 4 3\n3 3 4 3 4 4 1 3 4 4 4 3 4\n3 3 4 4 3 4 1 3 3 4 3 3 3\nOutput:\n4 6 4 4 6 6\n6 4 6 6 4 6\n4 4 4 6 6 4\n4 6 4 6 6 4\n4 4 4 6 4 6\n\nExample 3:\n\nInput:\n4 3 4 4 4 3 1 3 4 3 3 3 3\n3 3 3 3 3 4 1 4 3 4 4 3 4\n4 4 3 3 3 3 1 3 3 3 4 4 3\n3 3 3 4 3 4 1 3 4 4 4 3 3\n4 3 4 4 3 3 1 3 4 3 3 4 4\nOutput:\n6 6 6 6 6 4\n6 4 6 6 4 4\n6 6 4 6 6 4\n4 6 6 4 4 6\n6 6 6 6 6 6\n\nExample 4:\n\nInput:\n4 4 3 4 3 3 1 4 4 3 4 4 4\n3 4 4 4 3 3 1 4 4 4 4 3 3\n3 4 3 3 3 4 1 4 3 4 4 4 3\n3 4 3 3 3 4 1 4 4 4 3 3 3\n3 3 3 4 4 3 1 4 4 3 4 4 4\nOutput:\n4 4 4 4 6 6\n6 4 4 4 4 4\n6 6 6 6 6 6\n6 4 6 4 4 6\n6 6 4 4 4 6\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n3 3 3 3 4 3 1 4 3 3 4 3 3\n4 4 3 3 3 3 1 4 4 3 3 4 4\n3 4 3 3 3 3 1 4 4 3 3 3 3\n3 3 4 3 4 3 1 3 4 4 4 3 3\n4 3 4 3 4 3 1 3 3 3 4 4 3\n", "answer": "6 4 4 6 6 4\n4 4 4 4 6 6\n6 4 4 4 4 4\n4 6 4 6 6 4\n6 4 6 6 4 4", "metadata": {"source_dataset": "arc_agi", "source_index": 63, "input": [[3, 3, 3, 3, 4, 3, 1, 4, 3, 3, 4, 3, 3], [4, 4, 3, 3, 3, 3, 1, 4, 4, 3, 3, 4, 4], [3, 4, 3, 3, 3, 3, 1, 4, 4, 3, 3, 3, 3], [3, 3, 4, 3, 4, 3, 1, 3, 4, 4, 4, 3, 3], [4, 3, 4, 3, 4, 3, 1, 3, 3, 3, 4, 4, 3]], "output": [[6, 4, 4, 6, 6, 4], [4, 4, 4, 4, 6, 6], [6, 4, 4, 4, 4, 4], [4, 6, 4, 6, 6, 4], [6, 4, 6, 6, 4, 4]], "task_id": "3428a4f5", "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": 63, "input": [[3, 3, 3, 3, 4, 3, 1, 4, 3, 3, 4, 3, 3], [4, 4, 3, 3, 3, 3, 1, 4, 4, 3, 3, 4, 4], [3, 4, 3, 3, 3, 3, 1, 4, 4, 3, 3, 3, 3], [3, 3, 4, 3, 4, 3, 1, 3, 4, 4, 4, 3, 3], [4, 3, 4, 3, 4, 3, 1, 3, 3, 3, 4, 4, 3]], "output": [[6, 4, 4, 6, 6, 4], [4, 4, 4, 4, 6, 6], [6, 4, 4, 4, 4, 4], [4, 6, 4, 6, 6, 4], [6, 4, 6, 6, 4, 4]], "task_id": "3428a4f5", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 5 5 5 5 6 5 5 5 5 5 0 0 0 5 5 5 5 0 6 0 5 5 5 5 0 0 0 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 Output: 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 0 0 0 5 5 5 5 0 6 0 5 5 5 5 0 0 0 5 5 5 5 5 6 5 5 Example 2: Input: 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 0 0 0 5 5 5 5 0 6 0 5 5 5 5 0 0 0 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 Output: 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 0 0 0 5 5 5 5 0 6 0 5 5 5 5 0 0 0 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 Example 3: Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 0 0 0 5 6 5 6 5 6 5 6 5 6 0 6 0 5 5 5 5 5 5 5 5 5 5 0 0 0 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Output: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 0 0 0 5 5 5 6 5 6 5 6 5 6 0 6 0 6 5 5 5 5 5 5 5 5 5 0 0 0 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 0 0 0 5 5 5 5 5 5 5 6 5 6 5 6 5 6 0 6 0 6 5 6 5 6 5 6 5 5 5 5 5 5 5 0 0 0 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 0 0 0 5 5 5 5 5 5 5 5 5\n6 5 6 5 6 0 6 0 6 5 6 5 6 5 6 5 6\n5 5 5 5 5 0 0 0 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n5 5 5 5 6 5 5\n5 5 5 0 0 0 5\n5 5 5 0 6 0 5\n5 5 5 0 0 0 5\n5 5 5 5 6 5 5\n5 5 5 5 5 5 5\n5 5 5 5 6 5 5\nOutput:\n5 5 5 5 6 5 5\n5 5 5 5 5 5 5\n5 5 5 5 6 5 5\n5 5 5 0 0 0 5\n5 5 5 0 6 0 5\n5 5 5 0 0 0 5\n5 5 5 5 6 5 5\n\nExample 2:\n\nInput:\n5 5 6 5 5 5 5\n5 5 5 5 5 5 5\n5 5 6 5 5 5 5\n5 0 0 0 5 5 5\n5 0 6 0 5 5 5\n5 0 0 0 5 5 5\n5 5 6 5 5 5 5\n5 5 5 5 5 5 5\n5 5 6 5 5 5 5\n5 5 5 5 5 5 5\n5 5 6 5 5 5 5\n5 5 5 5 5 5 5\n5 5 6 5 5 5 5\nOutput:\n5 5 6 5 5 5 5\n5 5 5 5 5 5 5\n5 5 6 5 5 5 5\n5 5 5 5 5 5 5\n5 5 6 5 5 5 5\n5 0 0 0 5 5 5\n5 0 6 0 5 5 5\n5 0 0 0 5 5 5\n5 5 6 5 5 5 5\n5 5 5 5 5 5 5\n5 5 6 5 5 5 5\n5 5 5 5 5 5 5\n5 5 6 5 5 5 5\n\nExample 3:\n\nInput:\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 0 0 0\n5 6 5 6 5 6 5 6 5 6 0 6 0\n5 5 5 5 5 5 5 5 5 5 0 0 0\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\nOutput:\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 0 0 0 5 5\n5 6 5 6 5 6 5 6 0 6 0 6 5\n5 5 5 5 5 5 5 5 0 0 0 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 0 0 0 5 5 5 5 5 5 5\n6 5 6 5 6 5 6 0 6 0 6 5 6 5 6 5 6\n5 5 5 5 5 5 5 0 0 0 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n", "answer": "5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 0 0 0 5 5 5 5 5 5 5 5 5\n6 5 6 5 6 0 6 0 6 5 6 5 6 5 6 5 6\n5 5 5 5 5 0 0 0 5 5 5 5 5 5 5 5 5\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5", "metadata": {"source_dataset": "arc_agi", "source_index": 64, "input": [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5], [6, 5, 6, 5, 6, 5, 6, 0, 6, 0, 6, 5, 6, 5, 6, 5, 6], [5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]], "output": [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 5, 6, 5, 6, 0, 6, 0, 6, 5, 6, 5, 6, 5, 6, 5, 6], [5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]], "task_id": "5168d44c", "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": 64, "input": [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5], [6, 5, 6, 5, 6, 5, 6, 0, 6, 0, 6, 5, 6, 5, 6, 5, 6], [5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]], "output": [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 5, 6, 5, 6, 0, 6, 0, 6, 5, 6, 5, 6, 5, 6, 5, 6], [5, 5, 5, 5, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]], "task_id": "5168d44c", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 1 2 9 2 2 2 8 8 8 8 2 2 2 2 1 9 8 8 8 8 2 9 2 2 2 2 8 8 8 8 2 2 2 1 9 2 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 2 2 2 9 2 8 8 8 8 2 2 1 2 2 2 8 8 8 8 2 9 2 2 2 9 8 8 8 8 1 2 2 9 2 2 8 Output: 1 2 9 2 2 2 2 2 2 2 1 9 2 9 2 2 2 2 2 2 2 1 9 2 Example 2: Input: 8 8 8 8 8 8 8 8 8 8 8 2 2 2 2 8 8 8 8 8 8 2 9 2 2 8 8 8 8 8 8 2 2 1 2 8 2 2 2 2 8 2 2 2 2 8 2 2 1 9 8 8 8 8 8 8 2 2 2 2 2 2 2 2 2 8 2 1 9 2 2 1 2 1 2 8 2 2 2 2 2 1 2 9 2 8 2 2 2 2 2 2 2 2 2 8 8 8 8 8 Output: 2 2 2 2 2 2 1 2 1 2 2 1 2 9 2 2 2 2 2 2 Example 3: Input: 9 9 2 9 2 8 8 8 8 8 9 2 1 9 9 8 8 2 1 1 9 9 2 9 2 8 8 1 1 9 2 9 9 2 2 8 8 1 9 2 8 8 8 8 8 8 8 8 8 8 8 9 2 2 2 2 9 2 8 8 8 2 9 2 9 2 9 9 8 8 8 2 2 2 1 2 2 9 8 8 8 9 1 2 2 9 9 2 8 8 8 2 2 9 1 2 2 1 8 8 Output: 2 1 1 1 1 9 1 9 2 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 1 2 9 2 8 8 8 8 8 8 2 2 1 2 8 8 9 2 9 8 2 9 2 2 8 8 1 2 1 8 2 2 9 2 8 8 2 9 2 8 8 8 8 8 8 8 1 2 9 8 8 8 8 8 8 8 8 8 8 8 8 1 2 1 2 1 9 8 8 8 8 2 2 9 2 2 2 8 8 8 8 9 2 2 1 9 2 8 8 8 8 8 8 8 8 8 8 8 8 8	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 2 1 2 1 9\n2 2 9 2 2 2\n9 2 2 1 9 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:\n1 2 9 2 2 2 8 8 8 8\n2 2 2 2 1 9 8 8 8 8\n2 9 2 2 2 2 8 8 8 8\n2 2 2 1 9 2 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8\n8 8 8 9 2 2 2 9 2 8\n8 8 8 2 2 1 2 2 2 8\n8 8 8 2 9 2 2 2 9 8\n8 8 8 1 2 2 9 2 2 8\nOutput:\n1 2 9 2 2 2\n2 2 2 2 1 9\n2 9 2 2 2 2\n2 2 2 1 9 2\n\nExample 2:\n\nInput:\n8 8 8 8 8 8 8 8 8 8\n8 2 2 2 2 8 8 8 8 8\n8 2 9 2 2 8 8 8 8 8\n8 2 2 1 2 8 2 2 2 2\n8 2 2 2 2 8 2 2 1 9\n8 8 8 8 8 8 2 2 2 2\n2 2 2 2 2 8 2 1 9 2\n2 1 2 1 2 8 2 2 2 2\n2 1 2 9 2 8 2 2 2 2\n2 2 2 2 2 8 8 8 8 8\nOutput:\n2 2 2 2 2\n2 1 2 1 2\n2 1 2 9 2\n2 2 2 2 2\n\nExample 3:\n\nInput:\n9 9 2 9 2 8 8 8 8 8\n9 2 1 9 9 8 8 2 1 1\n9 9 2 9 2 8 8 1 1 9\n2 9 9 2 2 8 8 1 9 2\n8 8 8 8 8 8 8 8 8 8\n8 9 2 2 2 2 9 2 8 8\n8 2 9 2 9 2 9 9 8 8\n8 2 2 2 1 2 2 9 8 8\n8 9 1 2 2 9 9 2 8 8\n8 2 2 9 1 2 2 1 8 8\nOutput:\n2 1 1\n1 1 9\n1 9 2\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n1 2 9 2 8 8 8 8 8 8\n2 2 1 2 8 8 9 2 9 8\n2 9 2 2 8 8 1 2 1 8\n2 2 9 2 8 8 2 9 2 8\n8 8 8 8 8 8 1 2 9 8\n8 8 8 8 8 8 8 8 8 8\n8 1 2 1 2 1 9 8 8 8\n8 2 2 9 2 2 2 8 8 8\n8 9 2 2 1 9 2 8 8 8\n8 8 8 8 8 8 8 8 8 8\n", "answer": "1 2 1 2 1 9\n2 2 9 2 2 2\n9 2 2 1 9 2", "metadata": {"source_dataset": "arc_agi", "source_index": 65, "input": [[1, 2, 9, 2, 8, 8, 8, 8, 8, 8], [2, 2, 1, 2, 8, 8, 9, 2, 9, 8], [2, 9, 2, 2, 8, 8, 1, 2, 1, 8], [2, 2, 9, 2, 8, 8, 2, 9, 2, 8], [8, 8, 8, 8, 8, 8, 1, 2, 9, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 1, 2, 1, 2, 1, 9, 8, 8, 8], [8, 2, 2, 9, 2, 2, 2, 8, 8, 8], [8, 9, 2, 2, 1, 9, 2, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "output": [[1, 2, 1, 2, 1, 9], [2, 2, 9, 2, 2, 2], [9, 2, 2, 1, 9, 2]], "task_id": "e50d258f", "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": 65, "input": [[1, 2, 9, 2, 8, 8, 8, 8, 8, 8], [2, 2, 1, 2, 8, 8, 9, 2, 9, 8], [2, 9, 2, 2, 8, 8, 1, 2, 1, 8], [2, 2, 9, 2, 8, 8, 2, 9, 2, 8], [8, 8, 8, 8, 8, 8, 1, 2, 9, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 1, 2, 1, 2, 1, 9, 8, 8, 8], [8, 2, 2, 9, 2, 2, 2, 8, 8, 8], [8, 9, 2, 2, 1, 9, 2, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "output": [[1, 2, 1, 2, 1, 9], [2, 2, 9, 2, 2, 2], [9, 2, 2, 1, 9, 2]], "task_id": "e50d258f", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 3 3 3 3 3 3 3 2 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 6 2 3 3 7 3 3 7 3 3 3 3 3 3 3 3 3 3 3 8 3 3 3 3 3 3 3 6 9 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 4 4 4 3 8 3 3 3 0 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 7 3 3 3 3 3 3 3 3 3 3 3 3 3 6 2 3 3 3 3 0 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 1 3 3 3 3 Output: 3 3 3 3 3 3 3 4 3 3 3 3 3 3 0 3 3 3 3 3 3 4 3 3 3 3 6 2 3 3 7 3 3 7 3 4 3 3 3 3 3 3 3 3 3 8 3 3 3 4 3 3 3 6 9 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 7 4 4 4 3 8 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 4 4 4 7 3 3 3 3 3 3 3 3 3 3 3 4 3 6 2 3 3 3 3 0 1 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 9 3 3 3 3 3 3 3 3 3 3 1 3 4 3 3 3 3 3 3 3 3 3 3 3 2 3 4 3 1 3 3 3 3 Example 2: Input: 3 6 6 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 6 6 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 6 6 6 3 3 3 6 3 3 3 6 3 3 6 3 3 3 3 3 3 3 3 6 3 3 3 7 3 3 3 3 7 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 4 1 3 3 3 8 3 3 3 3 3 3 3 3 3 0 3 9 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 8 8 8 3 0 3 3 3 3 3 3 3 3 3 9 3 3 4 8 8 8 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 3 3 3 1 3 3 3 3 7 3 3 3 2 3 3 3 4 3 3 3 3 3 4 3 9 3 3 3 3 6 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 0 7 3 3 3 3 3 Output: 3 6 6 6 3 3 3 8 3 3 3 3 3 3 0 3 3 3 6 6 6 6 6 6 6 3 6 6 6 6 6 6 3 6 6 6 3 6 6 6 3 3 3 8 3 3 3 6 3 3 0 3 3 3 3 3 6 3 3 6 3 8 3 7 3 3 3 3 0 3 3 3 4 3 6 3 3 3 3 8 3 3 3 3 3 0 0 0 3 3 0 0 3 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 3 3 6 3 3 3 3 8 3 3 3 3 3 0 0 0 3 3 3 3 6 3 3 3 3 8 3 3 3 3 3 3 0 3 3 3 3 0 6 3 3 3 3 8 3 3 3 3 3 4 0 3 3 3 8 3 6 3 3 3 3 8 3 3 0 3 9 3 0 3 3 3 3 3 6 3 3 3 3 8 3 3 3 3 1 3 0 3 3 3 3 3 6 3 3 3 3 8 3 3 3 3 3 3 0 3 3 3 3 4 6 3 3 3 8 8 8 3 0 3 3 3 0 3 3 3 8 8 3 8 8 8 8 8 8 8 8 8 8 8 3 8 8 8 3 3 6 3 3 3 8 8 8 3 3 3 1 3 0 3 3 7 3 3 6 2 3 3 3 8 3 3 3 3 3 4 0 9 3 3 3 3 6 3 3 3 3 8 3 3 5 3 3 3 0 3 3 3 3 3 6 3 3 3 3 8 3 3 3 0 7 3 0 3 3 3 Example 3: Input: 0 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 3 3 3 3 9 9 9 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 9 9 9 3 3 3 3 3 3 8 3 3 3 3 3 3 3 3 9 9 9 3 3 0 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 7 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 8 3 8 3 3 1 3 3 3 3 6 3 3 3 3 3 3 3 3 6 3 6 3 0 1 0 3 3 3 3 3 3 6 6 6 3 3 3 3 3 3 3 8 3 3 6 3 3 3 3 6 6 6 3 3 5 3 3 3 3 3 0 3 3 3 3 3 3 6 6 6 3 3 8 3 3 3 3 0 3 3 3 3 6 3 3 3 3 3 3 3 9 3 3 3 3 3 3 3 3 3 3 3 3 6 3 3 3 3 3 3 3 0 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 8 3 Output: 0 3 7 3 3 3 3 3 3 6 3 3 9 3 3 3 3 3 3 3 3 3 3 3 6 3 3 6 3 9 9 9 3 3 3 3 9 9 9 9 9 9 9 9 9 3 9 9 9 9 9 9 9 9 3 3 8 3 3 3 3 3 3 6 3 9 9 9 3 3 0 3 3 3 3 3 3 3 3 3 3 6 0 3 9 3 7 3 3 3 3 3 3 3 4 3 3 3 3 6 3 3 9 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 3 1 9 3 8 3 3 1 3 3 3 3 6 3 3 3 3 6 3 3 9 6 3 6 3 0 1 0 3 3 3 3 3 3 6 6 6 3 9 3 3 3 3 3 6 6 6 6 6 6 6 6 6 6 6 6 3 6 6 6 6 6 3 0 3 3 3 3 3 3 6 6 6 3 9 8 3 3 3 3 0 3 3 3 3 6 3 3 3 6 3 3 9 9 3 3 3 3 3 3 3 3 3 3 3 3 6 6 3 3 9 3 3 3 0 3 3 3 3 3 5 3 3 3 3 6 3 3 9 3 3 3 8 3 Example 4: Input: 3 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 1 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 3 3 3 1 3 3 3 3 3 3 3 3 3 3 0 0 0 3 3 3 3 3 3 3 3 3 3 0 3 3 3 0 0 0 3 3 3 3 3 3 4 3 3 3 3 3 3 9 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Output: 3 4 3 3 3 1 3 2 3 3 3 0 3 3 3 3 3 3 3 3 3 3 1 9 3 3 3 0 0 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 0 3 3 3 3 3 3 3 3 9 1 1 1 3 3 3 3 0 3 3 3 3 3 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 3 3 3 3 1 1 1 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 0 3 3 3 3 3 3 1 3 3 3 1 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 0 3 3 2 3 3 3 3 3 3 3 1 3 3 3 3 0 0 0 3 3 3 1 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 3 3 3 3 3 1 0 3 3 3 0 0 0 3 3 3 3 3 3 4 3 3 1 3 3 3 9 3 0 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 0 3 2 3 3 3 3 3 3 3 3 1 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 1 3 3 3 7 3 0 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 0 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 0 3 3 3 3 3 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 9 3 3 3 3 9 3 3 3 9 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 4 3 5 3 3 0 3 3 3 3 9 3 3 3 3 3 3 3 3 7 0 0 0 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 0 0 0 3 3 3 8 3 3 3 3 3 3 3 3 3 3 8 3 0 0 0 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 3 3 4 3 3 3 7 3 3 3 0 8 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 0 3 3 3 3 3 3 3 4 4 4 3 3 5 3 3 3 3 3 3 9 3 3 3 3 3 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 1 3 1 3 3 3 3 3 2 3 3 3 3 4 3 3 3 3 8 3 3 3 3 3 3 3 3 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 8 1 1 1 3 9 3 2 3 1 3 3 3 3 3 3 3 3 3 3 1 1 1 3 3 3 3 3 3 3 5 3 3 3 3 3 6 3 3 1 1 1 3 3 3 3 3 3 3 3 3 7 4 3	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "3 3 3 3 3 1 3 3 3 3 0 4 3 3 3 4 3 3 3\n3 3 9 3 3 1 3 9 3 3 0 9 3 3 3 4 3 3 3\n3 4 3 3 3 1 3 3 4 3 0 3 3 0 3 4 3 3 9\n3 3 3 3 3 1 3 3 7 0 0 0 3 3 3 4 3 3 3\n0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 3 0 0 0\n3 3 3 3 3 1 3 8 3 0 0 0 3 3 3 4 3 3 3\n3 3 1 3 3 1 3 3 3 3 0 3 3 3 7 4 3 3 0\n8 0 3 3 3 1 3 3 3 3 0 3 3 3 3 4 3 3 3\n3 3 3 3 3 1 3 3 3 3 0 3 3 3 3 4 3 6 3\n3 3 3 3 3 1 3 3 3 3 0 3 3 3 3 4 3 3 3\n3 3 3 4 3 1 0 3 3 3 0 3 3 3 4 4 4 3 3\n4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4\n3 3 3 3 3 1 3 3 3 3 0 3 4 3 4 4 4 3 3\n3 3 3 2 3 1 3 3 3 3 0 3 3 3 1 4 1 3 3\n3 3 3 2 3 1 3 3 4 3 0 3 3 8 3 4 3 3 3\n3 3 3 8 3 1 3 3 3 3 0 3 3 3 3 4 3 3 3\n3 4 3 8 1 1 1 3 9 3 0 3 1 3 3 4 3 3 3\n1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 3 1 1 1\n3 6 3 3 1 1 1 3 3 3 0 3 3 3 3 4 7 4 3", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n3 3 3 3 3 3 3 2 3 3 3 3 3 3\n0 3 3 3 3 3 3 3 3 3 3 3 6 2\n3 3 7 3 3 7 3 3 3 3 3 3 3 3\n3 3 3 8 3 3 3 3 3 3 3 6 9 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 7 4 4 4 3 8 3 3 3\n0 3 3 3 3 3 4 4 4 3 3 3 3 3\n3 3 3 3 3 3 4 4 4 7 3 3 3 3\n3 3 3 3 3 3 3 3 3 6 2 3 3 3\n3 0 1 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 9 3 3 3 3 3\n3 3 3 3 3 1 3 3 3 3 3 3 3 3\n3 3 3 3 3 2 3 3 3 1 3 3 3 3\nOutput:\n3 3 3 3 3 3 3 4 3 3 3 3 3 3\n0 3 3 3 3 3 3 4 3 3 3 3 6 2\n3 3 7 3 3 7 3 4 3 3 3 3 3 3\n3 3 3 8 3 3 3 4 3 3 3 6 9 3\n3 3 3 3 3 3 3 4 3 3 3 3 3 3\n3 3 3 3 3 7 4 4 4 3 8 3 3 3\n4 4 4 4 4 4 4 4 4 4 4 4 4 4\n3 3 3 3 3 3 4 4 4 7 3 3 3 3\n3 3 3 3 3 3 3 4 3 6 2 3 3 3\n3 0 1 3 3 3 3 4 3 3 3 3 3 3\n3 3 3 3 3 3 3 4 9 3 3 3 3 3\n3 3 3 3 3 1 3 4 3 3 3 3 3 3\n3 3 3 3 3 2 3 4 3 1 3 3 3 3\n\nExample 2:\n\nInput:\n3 6 6 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 6 6 6 3 3 3 3 4 3 3 3 3 3 3 3 3 3\n3 6 6 6 3 3 3 6 3 3 3 6 3 3 6 3 3 3\n3 3 3 3 3 6 3 3 3 7 3 3 3 3 7 3 3 3\n4 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 0 0 0 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 0 3 3 3 3 3 3 3 3 3 3 3 4 1 3 3 3\n8 3 3 3 3 3 3 3 3 3 0 3 9 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 4 3 3 3 3 8 8 8 3 0 3 3 3 3 3 3 3\n3 3 9 3 3 4 8 8 8 3 3 4 3 3 3 3 3 3\n3 3 3 3 3 3 8 8 8 3 3 3 1 3 3 3 3 7\n3 3 3 2 3 3 3 4 3 3 3 3 3 4 3 9 3 3\n3 3 6 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3\n3 3 7 3 3 3 3 3 3 3 3 0 7 3 3 3 3 3\nOutput:\n3 6 6 6 3 3 3 8 3 3 3 3 3 3 0 3 3 3\n6 6 6 6 6 6 6 3 6 6 6 6 6 6 3 6 6 6\n3 6 6 6 3 3 3 8 3 3 3 6 3 3 0 3 3 3\n3 3 6 3 3 6 3 8 3 7 3 3 3 3 0 3 3 3\n4 3 6 3 3 3 3 8 3 3 3 3 3 0 0 0 3 3\n0 0 3 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0\n3 3 6 3 3 3 3 8 3 3 3 3 3 0 0 0 3 3\n3 3 6 3 3 3 3 8 3 3 3 3 3 3 0 3 3 3\n3 0 6 3 3 3 3 8 3 3 3 3 3 4 0 3 3 3\n8 3 6 3 3 3 3 8 3 3 0 3 9 3 0 3 3 3\n3 3 6 3 3 3 3 8 3 3 3 3 1 3 0 3 3 3\n3 3 6 3 3 3 3 8 3 3 3 3 3 3 0 3 3 3\n3 4 6 3 3 3 8 8 8 3 0 3 3 3 0 3 3 3\n8 8 3 8 8 8 8 8 8 8 8 8 8 8 3 8 8 8\n3 3 6 3 3 3 8 8 8 3 3 3 1 3 0 3 3 7\n3 3 6 2 3 3 3 8 3 3 3 3 3 4 0 9 3 3\n3 3 6 3 3 3 3 8 3 3 5 3 3 3 0 3 3 3\n3 3 6 3 3 3 3 8 3 3 3 0 7 3 0 3 3 3\n\nExample 3:\n\nInput:\n0 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 6 3 3 3 3 9 9 9 3 3 3 3\n3 3 3 3 3 3 3 0 3 3 3 9 9 9 3 3 3 3\n3 3 8 3 3 3 3 3 3 3 3 9 9 9 3 3 0 3\n3 3 3 3 3 3 3 3 3 3 0 3 3 3 7 3 3 3\n3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 1 8 3 8 3 3 1\n3 3 3 3 6 3 3 3 3 3 3 3 3 6 3 6 3 0\n1 0 3 3 3 3 3 3 6 6 6 3 3 3 3 3 3 3\n8 3 3 6 3 3 3 3 6 6 6 3 3 5 3 3 3 3\n3 0 3 3 3 3 3 3 6 6 6 3 3 8 3 3 3 3\n0 3 3 3 3 6 3 3 3 3 3 3 3 9 3 3 3 3\n3 3 3 3 3 3 3 3 6 3 3 3 3 3 3 3 0 3\n3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3 8 3\nOutput:\n0 3 7 3 3 3 3 3 3 6 3 3 9 3 3 3 3 3\n3 3 3 3 3 3 6 3 3 6 3 9 9 9 3 3 3 3\n9 9 9 9 9 9 9 9 9 3 9 9 9 9 9 9 9 9\n3 3 8 3 3 3 3 3 3 6 3 9 9 9 3 3 0 3\n3 3 3 3 3 3 3 3 3 6 0 3 9 3 7 3 3 3\n3 3 3 3 4 3 3 3 3 6 3 3 9 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 6 3 1 9 3 8 3 3 1\n3 3 3 3 6 3 3 3 3 6 3 3 9 6 3 6 3 0\n1 0 3 3 3 3 3 3 6 6 6 3 9 3 3 3 3 3\n6 6 6 6 6 6 6 6 6 6 6 6 3 6 6 6 6 6\n3 0 3 3 3 3 3 3 6 6 6 3 9 8 3 3 3 3\n0 3 3 3 3 6 3 3 3 6 3 3 9 9 3 3 3 3\n3 3 3 3 3 3 3 3 6 6 3 3 9 3 3 3 0 3\n3 3 3 3 5 3 3 3 3 6 3 3 9 3 3 3 8 3\n\nExample 4:\n\nInput:\n3 4 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 9 3 3 3 0 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 9 1 1 1 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 1 1 1 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 1 1 1 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 1 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 6 3 3 3 3 3 3 3 3 2 3 3\n3 3 3 3 3 3 3 3 3 3 0 0 0 3 3 3 1\n3 3 3 3 3 3 3 3 3 3 0 0 0 3 3 3 3\n3 3 3 3 3 3 0 3 3 3 0 0 0 3 3 3 3\n3 3 4 3 3 3 3 3 3 9 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3\n3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\nOutput:\n3 4 3 3 3 1 3 2 3 3 3 0 3 3 3 3 3\n3 3 3 3 3 1 9 3 3 3 0 0 3 3 3 3 3\n3 3 3 3 3 1 3 3 3 3 3 0 3 3 3 3 3\n3 3 3 9 1 1 1 3 3 3 3 0 3 3 3 3 3\n1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1\n3 3 3 3 1 1 1 3 3 3 3 0 3 3 3 3 3\n3 3 3 3 3 1 3 3 3 3 3 0 3 3 3 3 3\n3 1 3 3 3 1 3 3 3 3 3 0 3 3 3 3 3\n3 3 3 3 3 1 3 3 3 3 3 0 3 3 2 3 3\n3 3 3 3 3 1 3 3 3 3 0 0 0 3 3 3 1\n0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0\n3 3 3 3 3 1 0 3 3 3 0 0 0 3 3 3 3\n3 3 4 3 3 1 3 3 3 9 3 0 3 3 3 3 3\n3 3 3 3 3 1 3 3 3 3 3 0 3 2 3 3 3\n3 3 3 3 3 1 3 3 3 3 3 0 3 3 3 3 3\n3 3 3 3 3 1 3 3 3 7 3 0 3 3 3 3 3\n3 3 3 3 3 1 3 3 3 3 3 0 3 3 3 3 3\n3 3 3 3 3 1 3 3 3 3 3 0 3 3 3 3 3\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3\n3 3 9 3 3 3 3 9 3 3 3 9 3 3 3 3 3 3 3\n3 4 3 3 3 3 3 3 4 3 5 3 3 0 3 3 3 3 9\n3 3 3 3 3 3 3 3 7 0 0 0 3 3 3 3 3 3 3\n3 3 3 3 3 3 7 3 3 0 0 0 3 3 3 8 3 3 3\n3 3 3 3 3 3 3 8 3 0 0 0 3 3 3 3 3 3 3\n3 3 1 3 3 3 3 3 3 3 4 3 3 3 7 3 3 3 0\n8 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 4 3 3 0 3 3 3 3 3 3 3 4 4 4 3 3\n5 3 3 3 3 3 3 9 3 3 3 3 3 3 4 4 4 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 4 4 3 3\n3 3 3 2 3 3 3 3 3 3 3 3 3 3 1 3 1 3 3\n3 3 3 2 3 3 3 3 4 3 3 3 3 8 3 3 3 3 3\n3 3 3 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 4 3 8 1 1 1 3 9 3 2 3 1 3 3 3 3 3 3\n3 3 3 3 1 1 1 3 3 3 3 3 3 3 5 3 3 3 3\n3 6 3 3 1 1 1 3 3 3 3 3 3 3 3 3 7 4 3\n", "answer": "3 3 3 3 3 1 3 3 3 3 0 4 3 3 3 4 3 3 3\n3 3 9 3 3 1 3 9 3 3 0 9 3 3 3 4 3 3 3\n3 4 3 3 3 1 3 3 4 3 0 3 3 0 3 4 3 3 9\n3 3 3 3 3 1 3 3 7 0 0 0 3 3 3 4 3 3 3\n0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 3 0 0 0\n3 3 3 3 3 1 3 8 3 0 0 0 3 3 3 4 3 3 3\n3 3 1 3 3 1 3 3 3 3 0 3 3 3 7 4 3 3 0\n8 0 3 3 3 1 3 3 3 3 0 3 3 3 3 4 3 3 3\n3 3 3 3 3 1 3 3 3 3 0 3 3 3 3 4 3 6 3\n3 3 3 3 3 1 3 3 3 3 0 3 3 3 3 4 3 3 3\n3 3 3 4 3 1 0 3 3 3 0 3 3 3 4 4 4 3 3\n4 4 4 4 4 3 4 4 4 4 3 4 4 4 4 4 4 4 4\n3 3 3 3 3 1 3 3 3 3 0 3 4 3 4 4 4 3 3\n3 3 3 2 3 1 3 3 3 3 0 3 3 3 1 4 1 3 3\n3 3 3 2 3 1 3 3 4 3 0 3 3 8 3 4 3 3 3\n3 3 3 8 3 1 3 3 3 3 0 3 3 3 3 4 3 3 3\n3 4 3 8 1 1 1 3 9 3 0 3 1 3 3 4 3 3 3\n1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 3 1 1 1\n3 6 3 3 1 1 1 3 3 3 0 3 3 3 3 4 7 4 3", "metadata": {"source_dataset": "arc_agi", "source_index": 66, "input": [[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3], [3, 3, 9, 3, 3, 3, 3, 9, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3], [3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 5, 3, 3, 0, 3, 3, 3, 3, 9], [3, 3, 3, 3, 3, 3, 3, 3, 7, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 7, 3, 3, 0, 0, 0, 3, 3, 3, 8, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 8, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3], [3, 3, 1, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 7, 3, 3, 3, 0], [8, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 4, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3], [5, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4, 3, 3], [3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 1, 3, 3], [3, 3, 3, 2, 3, 3, 3, 3, 4, 3, 3, 3, 3, 8, 3, 3, 3, 3, 3], [3, 3, 3, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 4, 3, 8, 1, 1, 1, 3, 9, 3, 2, 3, 1, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3], [3, 6, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 4, 3]], "output": [[3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 0, 4, 3, 3, 3, 4, 3, 3, 3], [3, 3, 9, 3, 3, 1, 3, 9, 3, 3, 0, 9, 3, 3, 3, 4, 3, 3, 3], [3, 4, 3, 3, 3, 1, 3, 3, 4, 3, 0, 3, 3, 0, 3, 4, 3, 3, 9], [3, 3, 3, 3, 3, 1, 3, 3, 7, 0, 0, 0, 3, 3, 3, 4, 3, 3, 3], [0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [3, 3, 3, 3, 3, 1, 3, 8, 3, 0, 0, 0, 3, 3, 3, 4, 3, 3, 3], [3, 3, 1, 3, 3, 1, 3, 3, 3, 3, 0, 3, 3, 3, 7, 4, 3, 3, 0], [8, 0, 3, 3, 3, 1, 3, 3, 3, 3, 0, 3, 3, 3, 3, 4, 3, 3, 3], [3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 0, 3, 3, 3, 3, 4, 3, 6, 3], [3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 0, 3, 3, 3, 3, 4, 3, 3, 3], [3, 3, 3, 4, 3, 1, 0, 3, 3, 3, 0, 3, 3, 3, 4, 4, 4, 3, 3], [4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 0, 3, 4, 3, 4, 4, 4, 3, 3], [3, 3, 3, 2, 3, 1, 3, 3, 3, 3, 0, 3, 3, 3, 1, 4, 1, 3, 3], [3, 3, 3, 2, 3, 1, 3, 3, 4, 3, 0, 3, 3, 8, 3, 4, 3, 3, 3], [3, 3, 3, 8, 3, 1, 3, 3, 3, 3, 0, 3, 3, 3, 3, 4, 3, 3, 3], [3, 4, 3, 8, 1, 1, 1, 3, 9, 3, 0, 3, 1, 3, 3, 4, 3, 3, 3], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1], [3, 6, 3, 3, 1, 1, 1, 3, 3, 3, 0, 3, 3, 3, 3, 4, 7, 4, 3]], "task_id": "e9bb6954", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}	{"source_dataset": "arc_agi", "source_index": 66, "input": [[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3], [3, 3, 9, 3, 3, 3, 3, 9, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3], [3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 5, 3, 3, 0, 3, 3, 3, 3, 9], [3, 3, 3, 3, 3, 3, 3, 3, 7, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 7, 3, 3, 0, 0, 0, 3, 3, 3, 8, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 8, 3, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3], [3, 3, 1, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 7, 3, 3, 3, 0], [8, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 4, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3], [5, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4, 3, 3], [3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 1, 3, 3], [3, 3, 3, 2, 3, 3, 3, 3, 4, 3, 3, 3, 3, 8, 3, 3, 3, 3, 3], [3, 3, 3, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 4, 3, 8, 1, 1, 1, 3, 9, 3, 2, 3, 1, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3], [3, 6, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 4, 3]], "output": [[3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 0, 4, 3, 3, 3, 4, 3, 3, 3], [3, 3, 9, 3, 3, 1, 3, 9, 3, 3, 0, 9, 3, 3, 3, 4, 3, 3, 3], [3, 4, 3, 3, 3, 1, 3, 3, 4, 3, 0, 3, 3, 0, 3, 4, 3, 3, 9], [3, 3, 3, 3, 3, 1, 3, 3, 7, 0, 0, 0, 3, 3, 3, 4, 3, 3, 3], [0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0], [3, 3, 3, 3, 3, 1, 3, 8, 3, 0, 0, 0, 3, 3, 3, 4, 3, 3, 3], [3, 3, 1, 3, 3, 1, 3, 3, 3, 3, 0, 3, 3, 3, 7, 4, 3, 3, 0], [8, 0, 3, 3, 3, 1, 3, 3, 3, 3, 0, 3, 3, 3, 3, 4, 3, 3, 3], [3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 0, 3, 3, 3, 3, 4, 3, 6, 3], [3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 0, 3, 3, 3, 3, 4, 3, 3, 3], [3, 3, 3, 4, 3, 1, 0, 3, 3, 3, 0, 3, 3, 3, 4, 4, 4, 3, 3], [4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4], [3, 3, 3, 3, 3, 1, 3, 3, 3, 3, 0, 3, 4, 3, 4, 4, 4, 3, 3], [3, 3, 3, 2, 3, 1, 3, 3, 3, 3, 0, 3, 3, 3, 1, 4, 1, 3, 3], [3, 3, 3, 2, 3, 1, 3, 3, 4, 3, 0, 3, 3, 8, 3, 4, 3, 3, 3], [3, 3, 3, 8, 3, 1, 3, 3, 3, 3, 0, 3, 3, 3, 3, 4, 3, 3, 3], [3, 4, 3, 8, 1, 1, 1, 3, 9, 3, 0, 3, 1, 3, 3, 4, 3, 3, 3], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1], [3, 6, 3, 3, 1, 1, 1, 3, 3, 3, 0, 3, 3, 3, 3, 4, 7, 4, 3]], "task_id": "e9bb6954", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 4 4 0 4 4 0 4 0 4 4 0 0 0 0 0 4 0 0 4 0 3 3 3 3 3 0 0 0 0 0 0 5 0 0 5 0 5 5 5 5 5 5 0 5 0 Output: 7 7 0 7 7 0 0 0 7 0 0 7 7 7 7 0 7 0 0 0 Example 2: Input: 0 0 0 0 0 0 4 4 4 4 0 0 0 0 0 4 4 4 4 0 3 3 3 3 3 0 0 0 5 5 0 5 0 0 0 5 0 0 5 5 0 5 5 5 0 Output: 0 0 0 7 7 0 0 7 7 7 7 0 0 7 7 7 0 0 0 0 Example 3: Input: 0 0 4 4 0 0 4 4 4 4 4 0 0 0 0 0 4 0 4 0 3 3 3 3 3 0 0 5 5 0 5 0 0 0 5 0 5 0 0 5 5 0 5 5 0 Output: 0 0 0 0 0 7 7 7 7 0 7 7 0 0 7 7 7 7 0 0 Example 4: Input: 0 4 4 0 0 4 0 0 4 0 4 4 0 4 0 0 4 0 4 4 3 3 3 3 3 5 5 0 0 0 0 5 5 5 5 0 5 0 0 5 5 0 5 0 5 Output: 7 0 7 0 0 7 7 7 0 7 7 0 0 7 7 7 7 7 7 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 4 4 0 0 0 4 4 4 4 4 4 0 0 0 4 4 4 4 0 3 3 3 3 3 5 5 0 5 5 0 0 0 5 0 5 5 5 0 0 0 5 5 5 0	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 0 7 7 7\n0 7 7 0 7\n0 0 7 0 0\n7 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:\n4 4 0 4 4\n0 4 0 4 4\n0 0 0 0 0\n4 0 0 4 0\n3 3 3 3 3\n0 0 0 0 0\n0 5 0 0 5\n0 5 5 5 5\n5 5 0 5 0\nOutput:\n7 7 0 7 7\n0 0 0 7 0\n0 7 7 7 7\n0 7 0 0 0\n\nExample 2:\n\nInput:\n0 0 0 0 0\n0 4 4 4 4\n0 0 0 0 0\n4 4 4 4 0\n3 3 3 3 3\n0 0 0 5 5\n0 5 0 0 0\n5 0 0 5 5\n0 5 5 5 0\nOutput:\n0 0 0 7 7\n0 0 7 7 7\n7 0 0 7 7\n7 0 0 0 0\n\nExample 3:\n\nInput:\n0 0 4 4 0\n0 4 4 4 4\n4 0 0 0 0\n0 4 0 4 0\n3 3 3 3 3\n0 0 5 5 0\n5 0 0 0 5\n0 5 0 0 5\n5 0 5 5 0\nOutput:\n0 0 0 0 0\n7 7 7 7 0\n7 7 0 0 7\n7 7 7 0 0\n\nExample 4:\n\nInput:\n0 4 4 0 0\n4 0 0 4 0\n4 4 0 4 0\n0 4 0 4 4\n3 3 3 3 3\n5 5 0 0 0\n0 5 5 5 5\n0 5 0 0 5\n5 0 5 0 5\nOutput:\n7 0 7 0 0\n7 7 7 0 7\n7 0 0 7 7\n7 7 7 7 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 4 4 0 0\n0 4 4 4 4\n4 4 0 0 0\n4 4 4 4 0\n3 3 3 3 3\n5 5 0 5 5\n0 0 0 5 0\n5 5 5 0 0\n0 5 5 5 0\n", "answer": "7 0 7 7 7\n0 7 7 0 7\n0 0 7 0 0\n7 0 0 0 0", "metadata": {"source_dataset": "arc_agi", "source_index": 67, "input": [[0, 4, 4, 0, 0], [0, 4, 4, 4, 4], [4, 4, 0, 0, 0], [4, 4, 4, 4, 0], [3, 3, 3, 3, 3], [5, 5, 0, 5, 5], [0, 0, 0, 5, 0], [5, 5, 5, 0, 0], [0, 5, 5, 5, 0]], "output": [[7, 0, 7, 7, 7], [0, 7, 7, 0, 7], [0, 0, 7, 0, 0], [7, 0, 0, 0, 0]], "task_id": "34b99a2b", "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": 67, "input": [[0, 4, 4, 0, 0], [0, 4, 4, 4, 4], [4, 4, 0, 0, 0], [4, 4, 4, 4, 0], [3, 3, 3, 3, 3], [5, 5, 0, 5, 5], [0, 0, 0, 5, 0], [5, 5, 5, 0, 0], [0, 5, 5, 5, 0]], "output": [[7, 0, 7, 7, 7], [0, 7, 7, 0, 7], [0, 0, 7, 0, 0], [7, 0, 0, 0, 0]], "task_id": "34b99a2b", "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 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 6 2 6 3 3 3 6 8 6 3 3 3 6 8 6 3 3 3 6 2 6 3 3 3 6 8 6 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 6 8 6 3 3 3 6 8 6 3 3 3 6 8 6 3 3 3 6 8 6 3 3 3 6 8 6 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 6 2 6 3 3 3 6 8 6 3 3 3 6 8 6 3 3 3 6 2 6 3 3 3 6 8 6 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 6 8 6 3 3 3 6 8 6 3 3 3 6 8 6 3 3 3 6 8 6 3 3 3 6 8 6 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Output: 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 6 2 6 2 2 2 6 8 6 2 2 2 6 8 6 2 2 2 6 2 6 3 3 3 6 8 6 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 6 8 6 3 3 3 6 8 6 3 3 3 6 8 6 3 3 3 6 8 6 3 3 3 6 8 6 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 6 2 6 2 2 2 6 8 6 2 2 2 6 8 6 2 2 2 6 2 6 3 3 3 6 8 6 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 6 8 6 3 3 3 6 8 6 3 3 3 6 8 6 3 3 3 6 8 6 3 3 3 6 8 6 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Example 2: Input: 3 8 9 8 3 3 8 9 8 3 3 8 9 8 3 3 8 9 8 3 3 8 9 8 3 3 8 9 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 3 8 9 8 3 3 8 6 8 3 3 8 9 8 3 3 8 9 8 3 3 8 6 8 3 3 8 9 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 3 8 9 8 3 3 8 9 8 3 3 8 2 8 3 3 8 2 8 3 3 8 9 8 3 3 8 9 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 3 8 9 8 3 3 8 6 8 3 3 8 9 8 3 3 8 9 8 3 3 8 6 8 3 3 8 9 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 3 8 9 8 3 3 8 9 8 3 3 8 2 8 3 3 8 2 8 3 3 8 9 8 3 3 8 9 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Output: 3 8 9 8 3 3 8 9 8 3 3 8 9 8 3 3 8 9 8 3 3 8 9 8 3 3 8 9 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 3 8 9 8 3 3 8 6 8 6 6 8 9 8 6 6 8 9 8 6 6 8 6 8 3 3 8 9 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 3 3 3 3 3 3 3 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 3 3 3 3 3 3 3 3 3 3 3 3 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 3 3 3 3 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 3 8 9 8 3 3 8 9 8 3 3 8 2 8 2 2 8 2 8 3 3 8 9 8 3 3 8 9 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 3 3 3 3 3 3 3 6 3 3 3 3 2 3 3 3 3 2 3 3 3 3 6 3 3 3 3 3 3 3 3 3 3 3 3 6 3 3 3 3 2 3 3 3 3 2 3 3 3 3 6 3 3 3 3 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 3 8 9 8 3 3 8 6 8 6 6 8 9 8 6 6 8 9 8 6 6 8 6 8 3 3 8 9 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 3 8 9 8 3 3 8 9 8 3 3 8 2 8 2 2 8 2 8 3 3 8 9 8 3 3 8 9 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Example 3: Input: 3 2 8 8 2 3 2 9 9 2 3 2 8 8 2 3 2 8 8 2 3 2 9 9 2 3 2 8 8 3 2 8 8 2 3 2 9 9 2 3 2 8 8 2 3 2 8 8 2 3 2 9 9 2 3 2 8 8 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 1 1 2 3 2 8 8 2 3 2 1 1 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 1 1 2 3 2 8 8 2 3 2 1 1 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 3 2 8 8 2 3 2 9 9 2 3 2 8 8 2 3 2 8 8 2 3 2 9 9 2 3 2 8 8 3 2 8 8 2 3 2 9 9 2 3 2 8 8 2 3 2 8 8 2 3 2 9 9 2 3 2 8 8 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 1 1 2 3 2 8 8 2 3 2 1 1 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 1 1 2 3 2 8 8 2 3 2 1 1 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 Output: 3 2 8 8 2 3 2 9 9 2 9 2 8 8 2 9 2 8 8 2 9 2 9 9 2 3 2 8 8 3 2 8 8 2 3 2 9 9 2 9 2 8 8 2 9 2 8 8 2 9 2 9 9 2 3 2 8 8 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 3 3 3 3 3 3 3 9 9 3 3 3 3 3 3 3 3 3 3 3 3 3 9 9 3 3 3 3 3 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 1 1 2 1 2 8 8 2 1 2 1 1 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 1 1 2 1 2 8 8 2 1 2 1 1 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 3 3 3 3 3 3 3 9 9 3 3 3 3 3 3 3 3 1 1 3 3 3 9 9 3 3 3 1 1 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 3 2 8 8 2 3 2 9 9 2 9 2 8 8 2 9 2 8 8 2 9 2 9 9 2 3 2 8 8 3 2 8 8 2 3 2 9 9 2 9 2 8 8 2 9 2 8 8 2 9 2 9 9 2 3 2 8 8 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 1 3 3 3 3 3 3 3 3 1 1 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 1 3 3 3 3 3 3 3 3 1 1 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 1 1 2 1 2 8 8 2 1 2 1 1 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 1 1 2 1 2 8 8 2 1 2 1 1 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 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 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 3 9 8 8 8 9 3 3 9 1 1 1 9 3 3 9 1 1 1 9 3 3 9 8 8 8 9 3 3 9 3 9 8 8 8 9 3 3 9 1 1 1 9 3 3 9 1 1 1 9 3 3 9 8 8 8 9 3 3 9 3 9 8 8 8 9 3 3 9 1 1 1 9 3 3 9 1 1 1 9 3 3 9 8 8 8 9 3 3 9 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 3 9 2 2 2 9 3 3 9 8 8 8 9 3 3 9 8 8 8 9 3 3 9 2 2 2 9 3 3 9 3 9 2 2 2 9 3 3 9 8 8 8 9 3 3 9 8 8 8 9 3 3 9 2 2 2 9 3 3 9 3 9 2 2 2 9 3 3 9 8 8 8 9 3 3 9 8 8 8 9 3 3 9 2 2 2 9 3 3 9 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 3 9 8 8 8 9 3 3 9 1 1 1 9 3 3 9 1 1 1 9 3 3 9 8 8 8 9 3 3 9 3 9 8 8 8 9 3 3 9 1 1 1 9 3 3 9 1 1 1 9 3 3 9 8 8 8 9 3 3 9 3 9 8 8 8 9 3 3 9 1 1 1 9 3 3 9 1 1 1 9 3 3 9 8 8 8 9 3 3 9 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 3 9 2 2 2 9 3 3 9 8 8 8 9 3 3 9 8 8 8 9 3 3 9 2 2 2 9 3 3 9 3 9 2 2 2 9 3 3 9 8 8 8 9 3 3 9 8 8 8 9 3 3 9 2 2 2 9 3 3 9 3 9 2 2 2 9 3 3 9 8 8 8 9 3 3 9 8 8 8 9 3 3 9 2 2 2 9 3 3 9 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9\n3 9 8 8 8 9 3 3 9 1 1 1 9 1 1 9 1 1 1 9 3 3 9 8 8 8 9 3 3 9\n3 9 8 8 8 9 3 3 9 1 1 1 9 1 1 9 1 1 1 9 3 3 9 8 8 8 9 3 3 9\n3 9 8 8 8 9 3 3 9 1 1 1 9 1 1 9 1 1 1 9 3 3 9 8 8 8 9 3 3 9\n3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9\n3 3 3 3 3 3 3 3 3 1 1 1 3 3 3 3 1 1 1 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 1 1 1 3 3 3 3 1 1 1 3 3 3 3 3 3 3 3 3 3 3\n3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9\n3 9 2 2 2 9 2 2 9 8 8 8 9 2 2 9 8 8 8 9 2 2 9 2 2 2 9 3 3 9\n3 9 2 2 2 9 2 2 9 8 8 8 9 2 2 9 8 8 8 9 2 2 9 2 2 2 9 3 3 9\n3 9 2 2 2 9 2 2 9 8 8 8 9 2 2 9 8 8 8 9 2 2 9 2 2 2 9 3 3 9\n3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9\n3 3 2 2 2 3 3 3 3 1 1 1 3 3 3 3 1 1 1 3 3 3 3 2 2 2 3 3 3 3\n3 3 2 2 2 3 3 3 3 1 1 1 3 3 3 3 1 1 1 3 3 3 3 2 2 2 3 3 3 3\n3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9\n3 9 8 8 8 9 3 3 9 1 1 1 9 1 1 9 1 1 1 9 3 3 9 8 8 8 9 3 3 9\n3 9 8 8 8 9 3 3 9 1 1 1 9 1 1 9 1 1 1 9 3 3 9 8 8 8 9 3 3 9\n3 9 8 8 8 9 3 3 9 1 1 1 9 1 1 9 1 1 1 9 3 3 9 8 8 8 9 3 3 9\n3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9\n3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3\n3 3 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 3 3 3 3\n3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9\n3 9 2 2 2 9 2 2 9 8 8 8 9 2 2 9 8 8 8 9 2 2 9 2 2 2 9 3 3 9\n3 9 2 2 2 9 2 2 9 8 8 8 9 2 2 9 8 8 8 9 2 2 9 2 2 2 9 3 3 9\n3 9 2 2 2 9 2 2 9 8 8 8 9 2 2 9 8 8 8 9 2 2 9 2 2 2 9 3 3 9\n3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3", "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 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3\n3 6 2 6 3 3 3 6 8 6 3 3 3 6 8 6 3 3 3 6 2 6 3 3 3 6 8 6 3\n3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3\n3 6 8 6 3 3 3 6 8 6 3 3 3 6 8 6 3 3 3 6 8 6 3 3 3 6 8 6 3\n3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3\n3 6 2 6 3 3 3 6 8 6 3 3 3 6 8 6 3 3 3 6 2 6 3 3 3 6 8 6 3\n3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3\n3 6 8 6 3 3 3 6 8 6 3 3 3 6 8 6 3 3 3 6 8 6 3 3 3 6 8 6 3\n3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\nOutput:\n3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3\n3 6 2 6 2 2 2 6 8 6 2 2 2 6 8 6 2 2 2 6 2 6 3 3 3 6 8 6 3\n3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3\n3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3\n3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3\n3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3\n3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3\n3 6 8 6 3 3 3 6 8 6 3 3 3 6 8 6 3 3 3 6 8 6 3 3 3 6 8 6 3\n3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3\n3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3\n3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3\n3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3\n3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3\n3 6 2 6 2 2 2 6 8 6 2 2 2 6 8 6 2 2 2 6 2 6 3 3 3 6 8 6 3\n3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3\n3 6 8 6 3 3 3 6 8 6 3 3 3 6 8 6 3 3 3 6 8 6 3 3 3 6 8 6 3\n3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3 3 3 6 6 6 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n\nExample 2:\n\nInput:\n3 8 9 8 3 3 8 9 8 3 3 8 9 8 3 3 8 9 8 3 3 8 9 8 3 3 8 9\n3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8\n3 8 9 8 3 3 8 6 8 3 3 8 9 8 3 3 8 9 8 3 3 8 6 8 3 3 8 9\n3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8\n3 8 9 8 3 3 8 9 8 3 3 8 2 8 3 3 8 2 8 3 3 8 9 8 3 3 8 9\n3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8\n3 8 9 8 3 3 8 6 8 3 3 8 9 8 3 3 8 9 8 3 3 8 6 8 3 3 8 9\n3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8\n3 8 9 8 3 3 8 9 8 3 3 8 2 8 3 3 8 2 8 3 3 8 9 8 3 3 8 9\n3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\nOutput:\n3 8 9 8 3 3 8 9 8 3 3 8 9 8 3 3 8 9 8 3 3 8 9 8 3 3 8 9\n3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8\n3 8 9 8 3 3 8 6 8 6 6 8 9 8 6 6 8 9 8 6 6 8 6 8 3 3 8 9\n3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8\n3 3 3 3 3 3 3 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 3 3 3 3 3\n3 3 3 3 3 3 3 6 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 3 3 3 3 3\n3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8\n3 8 9 8 3 3 8 9 8 3 3 8 2 8 2 2 8 2 8 3 3 8 9 8 3 3 8 9\n3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8\n3 3 3 3 3 3 3 6 3 3 3 3 2 3 3 3 3 2 3 3 3 3 6 3 3 3 3 3\n3 3 3 3 3 3 3 6 3 3 3 3 2 3 3 3 3 2 3 3 3 3 6 3 3 3 3 3\n3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8\n3 8 9 8 3 3 8 6 8 6 6 8 9 8 6 6 8 9 8 6 6 8 6 8 3 3 8 9\n3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8\n3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3\n3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8\n3 8 9 8 3 3 8 9 8 3 3 8 2 8 2 2 8 2 8 3 3 8 9 8 3 3 8 9\n3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8 8 3 3 8 8\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n\nExample 3:\n\nInput:\n3 2 8 8 2 3 2 9 9 2 3 2 8 8 2 3 2 8 8 2 3 2 9 9 2 3 2 8 8\n3 2 8 8 2 3 2 9 9 2 3 2 8 8 2 3 2 8 8 2 3 2 9 9 2 3 2 8 8\n3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2\n3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 1 1 2 3 2 8 8 2 3 2 1 1\n3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 1 1 2 3 2 8 8 2 3 2 1 1\n3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2\n3 2 8 8 2 3 2 9 9 2 3 2 8 8 2 3 2 8 8 2 3 2 9 9 2 3 2 8 8\n3 2 8 8 2 3 2 9 9 2 3 2 8 8 2 3 2 8 8 2 3 2 9 9 2 3 2 8 8\n3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2\n3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8\n3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8\n3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2\n3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 1 1 2 3 2 8 8 2 3 2 1 1\n3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 1 1 2 3 2 8 8 2 3 2 1 1\n3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\nOutput:\n3 2 8 8 2 3 2 9 9 2 9 2 8 8 2 9 2 8 8 2 9 2 9 9 2 3 2 8 8\n3 2 8 8 2 3 2 9 9 2 9 2 8 8 2 9 2 8 8 2 9 2 9 9 2 3 2 8 8\n3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2\n3 3 3 3 3 3 3 9 9 3 3 3 3 3 3 3 3 3 3 3 3 3 9 9 3 3 3 3 3\n3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2\n3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 1 1 2 1 2 8 8 2 1 2 1 1\n3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 1 1 2 1 2 8 8 2 1 2 1 1\n3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2\n3 3 3 3 3 3 3 9 9 3 3 3 3 3 3 3 3 1 1 3 3 3 9 9 3 3 3 1 1\n3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2\n3 2 8 8 2 3 2 9 9 2 9 2 8 8 2 9 2 8 8 2 9 2 9 9 2 3 2 8 8\n3 2 8 8 2 3 2 9 9 2 9 2 8 8 2 9 2 8 8 2 9 2 9 9 2 3 2 8 8\n3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 1 3 3 3 3 3 3 3 3 1 1\n3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2\n3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8\n3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 8 8\n3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 1 1 3 3 3 3 3 3 3 3 1 1\n3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2\n3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 1 1 2 1 2 8 8 2 1 2 1 1\n3 2 8 8 2 3 2 8 8 2 3 2 8 8 2 3 2 1 1 2 1 2 8 8 2 1 2 1 1\n3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2 2 3 2 2 2\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9\n3 9 8 8 8 9 3 3 9 1 1 1 9 3 3 9 1 1 1 9 3 3 9 8 8 8 9 3 3 9\n3 9 8 8 8 9 3 3 9 1 1 1 9 3 3 9 1 1 1 9 3 3 9 8 8 8 9 3 3 9\n3 9 8 8 8 9 3 3 9 1 1 1 9 3 3 9 1 1 1 9 3 3 9 8 8 8 9 3 3 9\n3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9\n3 9 2 2 2 9 3 3 9 8 8 8 9 3 3 9 8 8 8 9 3 3 9 2 2 2 9 3 3 9\n3 9 2 2 2 9 3 3 9 8 8 8 9 3 3 9 8 8 8 9 3 3 9 2 2 2 9 3 3 9\n3 9 2 2 2 9 3 3 9 8 8 8 9 3 3 9 8 8 8 9 3 3 9 2 2 2 9 3 3 9\n3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9\n3 9 8 8 8 9 3 3 9 1 1 1 9 3 3 9 1 1 1 9 3 3 9 8 8 8 9 3 3 9\n3 9 8 8 8 9 3 3 9 1 1 1 9 3 3 9 1 1 1 9 3 3 9 8 8 8 9 3 3 9\n3 9 8 8 8 9 3 3 9 1 1 1 9 3 3 9 1 1 1 9 3 3 9 8 8 8 9 3 3 9\n3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9\n3 9 2 2 2 9 3 3 9 8 8 8 9 3 3 9 8 8 8 9 3 3 9 2 2 2 9 3 3 9\n3 9 2 2 2 9 3 3 9 8 8 8 9 3 3 9 8 8 8 9 3 3 9 2 2 2 9 3 3 9\n3 9 2 2 2 9 3 3 9 8 8 8 9 3 3 9 8 8 8 9 3 3 9 2 2 2 9 3 3 9\n3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n", "answer": "3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3\n3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9\n3 9 8 8 8 9 3 3 9 1 1 1 9 1 1 9 1 1 1 9 3 3 9 8 8 8 9 3 3 9\n3 9 8 8 8 9 3 3 9 1 1 1 9 1 1 9 1 1 1 9 3 3 9 8 8 8 9 3 3 9\n3 9 8 8 8 9 3 3 9 1 1 1 9 1 1 9 1 1 1 9 3 3 9 8 8 8 9 3 3 9\n3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9\n3 3 3 3 3 3 3 3 3 1 1 1 3 3 3 3 1 1 1 3 3 3 3 3 3 3 3 3 3 3\n3 3 3 3 3 3 3 3 3 1 1 1 3 3 3 3 1 1 1 3 3 3 3 3 3 3 3 3 3 3\n3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9\n3 9 2 2 2 9 2 2 9 8 8 8 9 2 2 9 8 8 8 9 2 2 9 2 2 2 9 3 3 9\n3 9 2 2 2 9 2 2 9 8 8 8 9 2 2 9 8 8 8 9 2 2 9 2 2 2 9 3 3 9\n3 9 2 2 2 9 2 2 9 8 8 8 9 2 2 9 8 8 8 9 2 2 9 2 2 2 9 3 3 9\n3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9 9 9 9 9 3 3 9\n3 3 2 2 2 3 3 3 3 1 1 1 3 3 3 3 1 1 1 3 3 3 3 2 2 2 3 3 3 3\n3 3 2 2 2 3 3 3 3 1 1 1 3 3 3 3 1 1 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9, 3, 3, 9], [3, 9, 2, 2, 2, 9, 3, 3, 9, 8, 8, 8, 9, 3, 3, 9, 8, 8, 8, 9, 3, 3, 9, 2, 2, 2, 9, 3, 3, 9], [3, 9, 2, 2, 2, 9, 3, 3, 9, 8, 8, 8, 9, 3, 3, 9, 8, 8, 8, 9, 3, 3, 9, 2, 2, 2, 9, 3, 3, 9], [3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]], "output": [[3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9], [3, 9, 8, 8, 8, 9, 3, 3, 9, 1, 1, 1, 9, 1, 1, 9, 1, 1, 1, 9, 3, 3, 9, 8, 8, 8, 9, 3, 3, 9], [3, 9, 8, 8, 8, 9, 3, 3, 9, 1, 1, 1, 9, 1, 1, 9, 1, 1, 1, 9, 3, 3, 9, 8, 8, 8, 9, 3, 3, 9], [3, 9, 8, 8, 8, 9, 3, 3, 9, 1, 1, 1, 9, 1, 1, 9, 1, 1, 1, 9, 3, 3, 9, 8, 8, 8, 9, 3, 3, 9], [3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9], [3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9], [3, 9, 2, 2, 2, 9, 2, 2, 9, 8, 8, 8, 9, 2, 2, 9, 8, 8, 8, 9, 2, 2, 9, 2, 2, 2, 9, 3, 3, 9], [3, 9, 2, 2, 2, 9, 2, 2, 9, 8, 8, 8, 9, 2, 2, 9, 8, 8, 8, 9, 2, 2, 9, 2, 2, 2, 9, 3, 3, 9], [3, 9, 2, 2, 2, 9, 2, 2, 9, 8, 8, 8, 9, 2, 2, 9, 8, 8, 8, 9, 2, 2, 9, 2, 2, 2, 9, 3, 3, 9], [3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9], [3, 3, 2, 2, 2, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3], [3, 3, 2, 2, 2, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 1, 1, 1, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3], [3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9], [3, 9, 8, 8, 8, 9, 3, 3, 9, 1, 1, 1, 9, 1, 1, 9, 1, 1, 1, 9, 3, 3, 9, 8, 8, 8, 9, 3, 3, 9], [3, 9, 8, 8, 8, 9, 3, 3, 9, 1, 1, 1, 9, 1, 1, 9, 1, 1, 1, 9, 3, 3, 9, 8, 8, 8, 9, 3, 3, 9], [3, 9, 8, 8, 8, 9, 3, 3, 9, 1, 1, 1, 9, 1, 1, 9, 1, 1, 1, 9, 3, 3, 9, 8, 8, 8, 9, 3, 3, 9], [3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9], [3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3], [3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3], [3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9], [3, 9, 2, 2, 2, 9, 2, 2, 9, 8, 8, 8, 9, 2, 2, 9, 8, 8, 8, 9, 2, 2, 9, 2, 2, 2, 9, 3, 3, 9], [3, 9, 2, 2, 2, 9, 2, 2, 9, 8, 8, 8, 9, 2, 2, 9, 8, 8, 8, 9, 2, 2, 9, 2, 2, 2, 9, 3, 3, 9], [3, 9, 2, 2, 2, 9, 2, 2, 9, 8, 8, 8, 9, 2, 2, 9, 8, 8, 8, 9, 2, 2, 9, 2, 2, 2, 9, 3, 3, 9], [3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 3, 3, 9], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]], "task_id": "b7f8a4d8", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 5 0 0 5 5 0 0 5 0 Output: 0 5 0 0 5 5 0 0 5 Example 2: Input: 2 1 2 0 2 1 1 1 1 Output: 1 1 1 1 2 0 2 1 2 Example 3: Input: 1 6 6 8 6 1 1 1 8 Output: 8 1 1 1 6 8 6 6 1 Example 4: Input: 7 8 8 7 8 1 1 8 7 Output: 7 8 1 1 8 7 8 8 7 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 3 6 6 9 9 6 6 9 9	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "9 9 6\n6 9 9\n6 6 3", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n5 0 0\n5 5 0\n0 5 0\nOutput:\n0 5 0\n0 5 5\n0 0 5\n\nExample 2:\n\nInput:\n2 1 2\n0 2 1\n1 1 1\nOutput:\n1 1 1\n1 2 0\n2 1 2\n\nExample 3:\n\nInput:\n1 6 6\n8 6 1\n1 1 8\nOutput:\n8 1 1\n1 6 8\n6 6 1\n\nExample 4:\n\nInput:\n7 8 8\n7 8 1\n1 8 7\nOutput:\n7 8 1\n1 8 7\n8 8 7\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n3 6 6\n9 9 6\n6 9 9\n", "answer": "9 9 6\n6 9 9\n6 6 3", "metadata": {"source_dataset": "arc_agi", "source_index": 69, "input": [[3, 6, 6], [9, 9, 6], [6, 9, 9]], "output": [[9, 9, 6], [6, 9, 9], [6, 6, 3]], "task_id": "3c9b0459", "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": 69, "input": [[3, 6, 6], [9, 9, 6], [6, 9, 9]], "output": [[9, 9, 6], [6, 9, 9], [6, 6, 3]], "task_id": "3c9b0459", "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 1 0 0 0 Output: 0 8 0 1 0 0 0 8 0 0 0 1 0 0 0 0 0 8 0 1 0 0 0 8 0 0 0 1 0 8 0 0 0 1 0 8 0 0 0 1 0 0 0 0 0 1 0 0 0 Example 2: Input: 0 0 0 0 0 0 1 0 0 0 0 0 0 Output: 0 0 8 0 0 0 1 0 0 0 0 0 0 0 8 0 0 0 8 0 1 0 0 0 0 0 8 0 0 0 8 0 0 0 1 0 0 0 0 0 0 0 8 0 0 0 8 0 1 0 0 0 0 0 8 0 0 0 8 0 0 0 1 0 0 0 8 0 0 0 8 0 0 0 8 0 1 0 8 0 0 0 8 0 0 0 8 0 0 0 1 0 0 0 8 0 0 0 8 0 0 0 1 0 0 0 8 0 0 0 8 0 0 0 1 0 0 0 8 0 0 0 8 0 0 0 1 0 0 0 8 0 0 0 8 0 0 0 1 0 0 0 0 0 0 0 8 0 0 0 1 0 0 0 0 0 0 0 8 0 0 0 1 0 0 0 0 0 0 Example 3: Input: 0 0 1 0 0 Output: 0 0 1 0 0 0 8 0 1 0 8 0 0 0 1 0 0 0 1 0 0 0 1 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 1 0 0 0 0 0 0 0 0	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "8 0 0 0 8 0 0 0 1 0 0 0 0 0 0 0 0\n0 0 0 8 0 0 0 8 0 1 0 0 0 0 0 0 0\n0 0 8 0 0 0 8 0 0 0 1 0 0 0 0 0 0\n0 8 0 0 0 8 0 0 0 8 0 1 0 0 0 0 0\n8 0 0 0 8 0 0 0 8 0 0 0 1 0 0 0 0\n0 0 0 8 0 0 0 8 0 0 0 8 0 1 0 0 0\n0 0 8 0 0 0 8 0 0 0 8 0 0 0 1 0 0\n0 8 0 0 0 8 0 0 0 8 0 0 0 8 0 1 0\n8 0 0 0 8 0 0 0 8 0 0 0 8 0 0 0 1\n0 0 0 8 0 0 0 8 0 0 0 8 0 0 0 1 0\n0 0 8 0 0 0 8 0 0 0 8 0 0 0 1 0 0\n0 8 0 0 0 8 0 0 0 8 0 0 0 1 0 0 0\n8 0 0 0 8 0 0 0 8 0 0 0 1 0 0 0 0\n0 0 0 8 0 0 0 8 0 0 0 1 0 0 0 0 0\n0 0 8 0 0 0 8 0 0 0 1 0 0 0 0 0 0\n0 8 0 0 0 8 0 0 0 1 0 0 0 0 0 0 0\n8 0 0 0 8 0 0 0 1 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\n0\n0\n1\n0\n0\n0\nOutput:\n0 8 0 1 0 0 0\n8 0 0 0 1 0 0\n0 0 0 8 0 1 0\n0 0 8 0 0 0 1\n0 8 0 0 0 1 0\n8 0 0 0 1 0 0\n0 0 0 1 0 0 0\n\nExample 2:\n\nInput:\n0\n0\n0\n0\n0\n0\n1\n0\n0\n0\n0\n0\n0\nOutput:\n0 0 8 0 0 0 1 0 0 0 0 0 0\n0 8 0 0 0 8 0 1 0 0 0 0 0\n8 0 0 0 8 0 0 0 1 0 0 0 0\n0 0 0 8 0 0 0 8 0 1 0 0 0\n0 0 8 0 0 0 8 0 0 0 1 0 0\n0 8 0 0 0 8 0 0 0 8 0 1 0\n8 0 0 0 8 0 0 0 8 0 0 0 1\n0 0 0 8 0 0 0 8 0 0 0 1 0\n0 0 8 0 0 0 8 0 0 0 1 0 0\n0 8 0 0 0 8 0 0 0 1 0 0 0\n8 0 0 0 8 0 0 0 1 0 0 0 0\n0 0 0 8 0 0 0 1 0 0 0 0 0\n0 0 8 0 0 0 1 0 0 0 0 0 0\n\nExample 3:\n\nInput:\n0\n0\n1\n0\n0\nOutput:\n0 0 1 0 0\n0 8 0 1 0\n8 0 0 0 1\n0 0 0 1 0\n0 0 1 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\n0\n0\n0\n0\n0\n0\n0\n1\n0\n0\n0\n0\n0\n0\n0\n0\n", "answer": "8 0 0 0 8 0 0 0 1 0 0 0 0 0 0 0 0\n0 0 0 8 0 0 0 8 0 1 0 0 0 0 0 0 0\n0 0 8 0 0 0 8 0 0 0 1 0 0 0 0 0 0\n0 8 0 0 0 8 0 0 0 8 0 1 0 0 0 0 0\n8 0 0 0 8 0 0 0 8 0 0 0 1 0 0 0 0\n0 0 0 8 0 0 0 8 0 0 0 8 0 1 0 0 0\n0 0 8 0 0 0 8 0 0 0 8 0 0 0 1 0 0\n0 8 0 0 0 8 0 0 0 8 0 0 0 8 0 1 0\n8 0 0 0 8 0 0 0 8 0 0 0 8 0 0 0 1\n0 0 0 8 0 0 0 8 0 0 0 8 0 0 0 1 0\n0 0 8 0 0 0 8 0 0 0 8 0 0 0 1 0 0\n0 8 0 0 0 8 0 0 0 8 0 0 0 1 0 0 0\n8 0 0 0 8 0 0 0 8 0 0 0 1 0 0 0 0\n0 0 0 8 0 0 0 8 0 0 0 1 0 0 0 0 0\n0 0 8 0 0 0 8 0 0 0 1 0 0 0 0 0 0\n0 8 0 0 0 8 0 0 0 1 0 0 0 0 0 0 0\n8 0 0 0 8 0 0 0 1 0 0 0 0 0 0 0 0", "metadata": {"source_dataset": "arc_agi", "source_index": 70, "input": [[0], [0], [0], [0], [0], [0], [0], [0], [1], [0], [0], [0], [0], [0], [0], [0], [0]], "output": [[8, 0, 0, 0, 8, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 8, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 1, 0, 0, 0, 0, 0], [8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 1, 0, 0, 0], [0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 1, 0, 0], [0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 1, 0], [8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 1], [0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 1, 0], [0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 1, 0, 0], [0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 1, 0, 0, 0], [8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 8, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 8, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]], "task_id": "c1990cce", "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": 70, "input": [[0], [0], [0], [0], [0], [0], [0], [0], [1], [0], [0], [0], [0], [0], [0], [0], [0]], "output": [[8, 0, 0, 0, 8, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 8, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 1, 0, 0, 0, 0, 0], [8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 1, 0, 0, 0], [0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 1, 0, 0], [0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 1, 0], [8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 1], [0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 1, 0], [0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 1, 0, 0], [0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 1, 0, 0, 0], [8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 8, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [8, 0, 0, 0, 8, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]], "task_id": "c1990cce", "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 8 0 6 3 8 0 6 3 Output: 3 8 0 4 4 4 4 4 4 6 3 8 4 4 4 4 4 4 0 6 3 4 4 4 4 4 4 4 4 4 3 8 0 4 4 4 4 4 4 6 3 8 4 4 4 4 4 4 0 6 3 4 4 4 4 4 4 4 4 4 3 8 0 4 4 4 4 4 4 6 3 8 4 4 4 4 4 4 0 6 3 Example 2: Input: 6 3 6 5 3 6 6 6 6 Output: 6 3 6 4 4 4 6 3 6 5 3 6 4 4 4 5 3 6 6 6 6 4 4 4 6 6 6 4 4 4 4 4 4 6 3 6 4 4 4 4 4 4 5 3 6 4 4 4 4 4 4 6 6 6 6 3 6 6 3 6 6 3 6 5 3 6 5 3 6 5 3 6 6 6 6 6 6 6 6 6 6 Example 3: Input: 5 7 8 8 5 8 8 6 6 Output: 4 4 4 4 4 4 5 7 8 4 4 4 4 4 4 8 5 8 4 4 4 4 4 4 8 6 6 5 7 8 4 4 4 5 7 8 8 5 8 4 4 4 8 5 8 8 6 6 4 4 4 8 6 6 5 7 8 4 4 4 4 4 4 8 5 8 4 4 4 4 4 4 8 6 6 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: 2 0 1 2 7 2 0 2 0	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 0 1 4 4 4 4 4 4\n2 7 2 4 4 4 4 4 4\n0 2 0 4 4 4 4 4 4\n2 0 1 4 4 4 2 0 1\n2 7 2 4 4 4 2 7 2\n0 2 0 4 4 4 0 2 0\n4 4 4 2 0 1 4 4 4\n4 4 4 2 7 2 4 4 4\n4 4 4 0 2 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:\n3 8 0\n6 3 8\n0 6 3\nOutput:\n3 8 0 4 4 4 4 4 4\n6 3 8 4 4 4 4 4 4\n0 6 3 4 4 4 4 4 4\n4 4 4 3 8 0 4 4 4\n4 4 4 6 3 8 4 4 4\n4 4 4 0 6 3 4 4 4\n4 4 4 4 4 4 3 8 0\n4 4 4 4 4 4 6 3 8\n4 4 4 4 4 4 0 6 3\n\nExample 2:\n\nInput:\n6 3 6\n5 3 6\n6 6 6\nOutput:\n6 3 6 4 4 4 6 3 6\n5 3 6 4 4 4 5 3 6\n6 6 6 4 4 4 6 6 6\n4 4 4 4 4 4 6 3 6\n4 4 4 4 4 4 5 3 6\n4 4 4 4 4 4 6 6 6\n6 3 6 6 3 6 6 3 6\n5 3 6 5 3 6 5 3 6\n6 6 6 6 6 6 6 6 6\n\nExample 3:\n\nInput:\n5 7 8\n8 5 8\n8 6 6\nOutput:\n4 4 4 4 4 4 5 7 8\n4 4 4 4 4 4 8 5 8\n4 4 4 4 4 4 8 6 6\n5 7 8 4 4 4 5 7 8\n8 5 8 4 4 4 8 5 8\n8 6 6 4 4 4 8 6 6\n5 7 8 4 4 4 4 4 4\n8 5 8 4 4 4 4 4 4\n8 6 6 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:\n2 0 1\n2 7 2\n0 2 0\n", "answer": "2 0 1 4 4 4 4 4 4\n2 7 2 4 4 4 4 4 4\n0 2 0 4 4 4 4 4 4\n2 0 1 4 4 4 2 0 1\n2 7 2 4 4 4 2 7 2\n0 2 0 4 4 4 0 2 0\n4 4 4 2 0 1 4 4 4\n4 4 4 2 7 2 4 4 4\n4 4 4 0 2 0 4 4 4", "metadata": {"source_dataset": "arc_agi", "source_index": 71, "input": [[2, 0, 1], [2, 7, 2], [0, 2, 0]], "output": [[2, 0, 1, 4, 4, 4, 4, 4, 4], [2, 7, 2, 4, 4, 4, 4, 4, 4], [0, 2, 0, 4, 4, 4, 4, 4, 4], [2, 0, 1, 4, 4, 4, 2, 0, 1], [2, 7, 2, 4, 4, 4, 2, 7, 2], [0, 2, 0, 4, 4, 4, 0, 2, 0], [4, 4, 4, 2, 0, 1, 4, 4, 4], [4, 4, 4, 2, 7, 2, 4, 4, 4], [4, 4, 4, 0, 2, 0, 4, 4, 4]], "task_id": "c3e719e8", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}	{"source_dataset": "arc_agi", "source_index": 71, "input": [[2, 0, 1], [2, 7, 2], [0, 2, 0]], "output": [[2, 0, 1, 4, 4, 4, 4, 4, 4], [2, 7, 2, 4, 4, 4, 4, 4, 4], [0, 2, 0, 4, 4, 4, 4, 4, 4], [2, 0, 1, 4, 4, 4, 2, 0, 1], [2, 7, 2, 4, 4, 4, 2, 7, 2], [0, 2, 0, 4, 4, 4, 0, 2, 0], [4, 4, 4, 2, 0, 1, 4, 4, 4], [4, 4, 4, 2, 7, 2, 4, 4, 4], [4, 4, 4, 0, 2, 0, 4, 4, 4]], "task_id": "c3e719e8", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 2 2 2 2 2 2 2 3 1 4 4 1 3 2 2 2 2 2 3 3 4 2 2 4 3 3 2 2 2 2 3 3 4 2 2 4 3 3 2 2 2 2 2 3 1 4 4 1 3 2 2 2 2 2 2 2 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 2 2 2 2 2 2 2 Output: 3 3 4 2 2 3 1 4 2 2 3 3 2 2 2 3 Example 2: Input: 2 2 2 2 2 8 8 2 2 8 8 2 2 2 2 2 8 3 3 1 1 3 3 8 2 2 2 2 8 3 5 5 5 5 3 8 2 2 2 2 2 1 5 2 2 5 1 2 2 2 2 2 2 1 5 2 2 5 1 2 2 2 2 2 8 3 5 5 5 5 3 8 2 2 2 2 8 3 3 1 1 3 3 8 2 2 2 2 2 8 8 2 2 8 8 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Output: 2 1 5 2 8 3 5 5 8 3 3 1 2 8 8 2 Example 3: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 2 2 2 2 2 2 2 2 0 0 3 3 0 0 2 2 2 2 2 2 0 1 1 1 1 0 2 2 2 2 2 3 3 1 4 4 1 3 3 2 2 2 2 3 3 1 4 4 1 3 3 2 2 2 2 2 0 1 1 1 1 0 2 2 2 2 2 2 0 0 3 3 0 0 2 2 2 2 2 2 2 2 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Output: 3 3 1 4 2 0 1 1 2 0 0 3 2 2 2 3 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 4 2 2 0 0 2 2 4 2 2 2 2 2 0 1 5 5 1 0 2 2 2 2 2 2 1 3 5 5 3 1 2 2 2 2 2 0 5 5 7 7 5 5 0 2 2 2 2 0 5 5 7 7 5 5 0 2 2 2 2 2 1 3 5 5 3 1 2 2 2 2 2 2 0 1 5 5 1 0 2 2 2 2 2 4 2 2 0 0 2 2 4 2 2	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "0 5 5 7\n2 1 3 5\n2 0 1 5\n4 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 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 3 3 2 2 2 2 2 2 2\n2 2 3 3 3 3 2 2 2 2 2 2\n2 3 1 4 4 1 3 2 2 2 2 2\n3 3 4 2 2 4 3 3 2 2 2 2\n3 3 4 2 2 4 3 3 2 2 2 2\n2 3 1 4 4 1 3 2 2 2 2 2\n2 2 3 3 3 3 2 2 2 2 2 2\n2 2 2 3 3 2 2 2 2 2 2 2\nOutput:\n3 3 4 2\n2 3 1 4\n2 2 3 3\n2 2 2 3\n\nExample 2:\n\nInput:\n2 2 2 2 2 8 8 2 2 8 8 2\n2 2 2 2 8 3 3 1 1 3 3 8\n2 2 2 2 8 3 5 5 5 5 3 8\n2 2 2 2 2 1 5 2 2 5 1 2\n2 2 2 2 2 1 5 2 2 5 1 2\n2 2 2 2 8 3 5 5 5 5 3 8\n2 2 2 2 8 3 3 1 1 3 3 8\n2 2 2 2 2 8 8 2 2 8 8 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\nOutput:\n2 1 5 2\n8 3 5 5\n8 3 3 1\n2 8 8 2\n\nExample 3:\n\nInput:\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 3 3 2 2 2 2 2\n2 2 2 0 0 3 3 0 0 2 2 2\n2 2 2 0 1 1 1 1 0 2 2 2\n2 2 3 3 1 4 4 1 3 3 2 2\n2 2 3 3 1 4 4 1 3 3 2 2\n2 2 2 0 1 1 1 1 0 2 2 2\n2 2 2 0 0 3 3 0 0 2 2 2\n2 2 2 2 2 3 3 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\nOutput:\n3 3 1 4\n2 0 1 1\n2 0 0 3\n2 2 2 3\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2\n2 2 4 2 2 0 0 2 2 4 2 2\n2 2 2 0 1 5 5 1 0 2 2 2\n2 2 2 1 3 5 5 3 1 2 2 2\n2 2 0 5 5 7 7 5 5 0 2 2\n2 2 0 5 5 7 7 5 5 0 2 2\n2 2 2 1 3 5 5 3 1 2 2 2\n2 2 2 0 1 5 5 1 0 2 2 2\n2 2 4 2 2 0 0 2 2 4 2 2\n", "answer": "0 5 5 7\n2 1 3 5\n2 0 1 5\n4 2 2 0", "metadata": {"source_dataset": "arc_agi", "source_index": 72, "input": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 4, 2, 2, 0, 0, 2, 2, 4, 2, 2], [2, 2, 2, 0, 1, 5, 5, 1, 0, 2, 2, 2], [2, 2, 2, 1, 3, 5, 5, 3, 1, 2, 2, 2], [2, 2, 0, 5, 5, 7, 7, 5, 5, 0, 2, 2], [2, 2, 0, 5, 5, 7, 7, 5, 5, 0, 2, 2], [2, 2, 2, 1, 3, 5, 5, 3, 1, 2, 2, 2], [2, 2, 2, 0, 1, 5, 5, 1, 0, 2, 2, 2], [2, 2, 4, 2, 2, 0, 0, 2, 2, 4, 2, 2]], "output": [[0, 5, 5, 7], [2, 1, 3, 5], [2, 0, 1, 5], [4, 2, 2, 0]], "task_id": "73182012", "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": 72, "input": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 4, 2, 2, 0, 0, 2, 2, 4, 2, 2], [2, 2, 2, 0, 1, 5, 5, 1, 0, 2, 2, 2], [2, 2, 2, 1, 3, 5, 5, 3, 1, 2, 2, 2], [2, 2, 0, 5, 5, 7, 7, 5, 5, 0, 2, 2], [2, 2, 0, 5, 5, 7, 7, 5, 5, 0, 2, 2], [2, 2, 2, 1, 3, 5, 5, 3, 1, 2, 2, 2], [2, 2, 2, 0, 1, 5, 5, 1, 0, 2, 2, 2], [2, 2, 4, 2, 2, 0, 0, 2, 2, 4, 2, 2]], "output": [[0, 5, 5, 7], [2, 1, 3, 5], [2, 0, 1, 5], [4, 2, 2, 0]], "task_id": "73182012", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 2 2 0 0 0 2 0 2 0 0 2 0 0 2 0 0 2 2 0 2 2 2 2 0 0 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 8 0 0 0 0 0 0 0 0 0 8 0 8 8 8 0 0 8 0 0 0 0 8 0 8 8 8 0 8 8 0 8 8 0 8 0 8 0 0 0 8 0 0 8 8 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 2 2 2 0 0 2 2 2 2 0 0 0 2 0 2 0 0 2 0 0 2 0 0 2 2 0 2 2 2 2 0 0 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 3 0 0 0 0 0 0 0 0 0 3 0 3 3 3 0 0 8 0 0 0 0 3 0 3 3 3 0 8 8 0 3 3 0 3 0 3 0 0 0 8 0 0 3 3 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 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 2 2 2 2 2 0 0 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 8 0 0 0 0 0 0 0 0 0 0 8 8 0 8 8 0 8 8 8 0 0 0 8 0 0 8 8 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 2 2 2 2 2 2 0 0 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 8 0 0 0 0 0 0 0 0 0 0 8 8 0 3 3 0 3 3 3 0 0 0 8 0 0 3 3 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 Example 3: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 2 2 0 0 0 2 2 0 2 2 2 2 0 2 0 0 2 2 0 0 0 2 2 0 0 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 8 0 0 8 0 0 8 0 0 0 0 0 8 0 0 8 0 8 8 8 0 0 8 0 8 8 0 8 0 0 8 0 0 8 8 8 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 2 2 2 0 0 2 2 2 0 0 0 2 2 0 2 2 2 2 0 2 0 0 2 2 0 0 0 2 2 0 0 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 8 0 0 8 0 0 3 0 0 0 0 0 8 0 0 8 0 3 3 3 0 0 3 0 8 8 0 8 0 0 3 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 Example 4: Input: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 2 2 2 2 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 8 0 0 0 0 0 0 0 0 0 0 0 8 0 8 8 0 0 0 0 0 0 0 0 8 0 8 8 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 2 2 2 2 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 2 2 2 2 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 8 0 0 0 0 0 0 0 0 0 0 0 8 0 3 3 0 0 0 0 0 0 0 0 8 0 3 3 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 2 2 2 0 0 0 2 2 2 0 0 0 2 0 2 0 0 2 2 0 2 0 2 2 2 0 2 2 2 2 0 0 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 8 0 0 0 0 0 0 8 0 0 0 0 8 8 0 0 8 0 0 8 0 8 8 0 0 8 0 8 8 0 0 8 0 8 8 0 0 8 0 8 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\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 2 2 2 0 0 0 2 2 2 0\n0 0 2 0 2 0 0 2 2 0 2 0\n2 2 2 0 2 2 2 2 0 0 2 2\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 3 0 0 0 0 0\n0 3 0 0 0 0 3 3 0 0 3 0\n0 3 0 8 8 0 0 3 0 3 3 0\n0 3 0 8 8 0 0 3 0 3 0 0\n0 0 0 0 0 0 0 0 0 0 0 0", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0\n0 2 2 2 0 0 2 2 2 2 0 0\n0 2 0 2 0 0 2 0 0 2 0 0\n2 2 0 2 2 2 2 0 0 2 2 2\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 8 0 0 0 0 0 0 0 0\n0 8 0 8 8 8 0 0 8 0 0 0\n0 8 0 8 8 8 0 8 8 0 8 8\n0 8 0 8 0 0 0 8 0 0 8 8\n0 0 0 0 0 0 0 0 0 0 0 0\nOutput:\n0 0 0 0 0 0 0 0 0 0 0 0\n0 2 2 2 0 0 2 2 2 2 0 0\n0 2 0 2 0 0 2 0 0 2 0 0\n2 2 0 2 2 2 2 0 0 2 2 2\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 3 0 0 0 0 0 0 0 0\n0 3 0 3 3 3 0 0 8 0 0 0\n0 3 0 3 3 3 0 8 8 0 3 3\n0 3 0 3 0 0 0 8 0 0 3 3\n0 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\n0 0 0 0 0 2 2 2 2 0 0 0\n0 0 0 0 0 2 0 0 2 0 0 0\n2 2 2 2 2 2 0 0 2 2 2 2\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 8 0 0 0 0 0 0 0 0\n0 0 8 8 0 8 8 0 8 8 8 0\n0 0 8 0 0 8 8 0 0 8 8 0\n0 0 0 0 0 0 0 0 0 0 0 0\nOutput:\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 2 2 2 2 0 0 0\n0 0 0 0 0 2 0 0 2 0 0 0\n2 2 2 2 2 2 0 0 2 2 2 2\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 8 0 0 0 0 0 0 0 0\n0 0 8 8 0 3 3 0 3 3 3 0\n0 0 8 0 0 3 3 0 0 3 3 0\n0 0 0 0 0 0 0 0 0 0 0 0\n\nExample 3:\n\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 2 2 2 0 0 2 2 2 0 0\n0 2 2 0 2 2 2 2 0 2 0 0\n2 2 0 0 0 2 2 0 0 2 2 2\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n8 0 0 8 0 0 8 0 0 0 0 0\n8 0 0 8 0 8 8 8 0 0 8 0\n8 8 0 8 0 0 8 0 0 8 8 8\n0 0 0 0 0 0 0 0 0 0 0 0\nOutput:\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 2 2 2 0 0 2 2 2 0 0\n0 2 2 0 2 2 2 2 0 2 0 0\n2 2 0 0 0 2 2 0 0 2 2 2\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n8 0 0 8 0 0 3 0 0 0 0 0\n8 0 0 8 0 3 3 3 0 0 3 0\n8 8 0 8 0 0 3 0 0 3 3 3\n0 0 0 0 0 0 0 0 0 0 0 0\n\nExample 4:\n\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 2 2 2 2 0 0 0 0 0\n0 0 0 2 0 0 2 0 0 0 0 0\n2 2 2 2 0 0 2 2 2 2 2 2\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 8 0 0 0 0\n0 0 0 0 0 0 0 8 0 8 8 0\n0 0 0 0 0 0 0 8 0 8 8 0\n0 0 0 0 0 0 0 0 0 0 0 0\nOutput:\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 2 2 2 2 0 0 0 0 0\n0 0 0 2 0 0 2 0 0 0 0 0\n2 2 2 2 0 0 2 2 2 2 2 2\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 8 0 0 0 0\n0 0 0 0 0 0 0 8 0 3 3 0\n0 0 0 0 0 0 0 8 0 3 3 0\n0 0 0 0 0 0 0 0 0 0 0 0\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 2 2 2 0 0 0 2 2 2 0\n0 0 2 0 2 0 0 2 2 0 2 0\n2 2 2 0 2 2 2 2 0 0 2 2\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 8 0 0 0 0 0\n0 8 0 0 0 0 8 8 0 0 8 0\n0 8 0 8 8 0 0 8 0 8 8 0\n0 8 0 8 8 0 0 8 0 8 0 0\n0 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\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 2 2 2 0 0 0 2 2 2 0\n0 0 2 0 2 0 0 2 2 0 2 0\n2 2 2 0 2 2 2 2 0 0 2 2\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 0 0 0 0 3 0 0 0 0 0\n0 3 0 0 0 0 3 3 0 0 3 0\n0 3 0 8 8 0 0 3 0 3 3 0\n0 3 0 8 8 0 0 3 0 3 0 0\n0 0 0 0 0 0 0 0 0 0 0 0", "metadata": {"source_dataset": "arc_agi", "source_index": 73, "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, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0], [0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0], [2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 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, 8, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8, 0], [0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0], [0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 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, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0], [0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0], [2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 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, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 3, 0], [0, 3, 0, 8, 8, 0, 0, 3, 0, 3, 3, 0], [0, 3, 0, 8, 8, 0, 0, 3, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "task_id": "1acc24af", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}	{"source_dataset": "arc_agi", "source_index": 73, "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, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0], [0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0], [2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 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, 8, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 0, 8, 8, 0, 0, 8, 0], [0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 8, 0], [0, 8, 0, 8, 8, 0, 0, 8, 0, 8, 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, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0], [0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0], [2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 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, 3, 0, 0, 0, 0, 0], [0, 3, 0, 0, 0, 0, 3, 3, 0, 0, 3, 0], [0, 3, 0, 8, 8, 0, 0, 3, 0, 3, 3, 0], [0, 3, 0, 8, 8, 0, 0, 3, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "task_id": "1acc24af", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 2 8 6 9 9 6 9 6 2 Output: 9 6 2 2 6 9 9 9 6 6 9 9 2 8 6 6 8 2 2 8 6 6 8 2 9 9 6 6 9 9 9 6 2 2 6 9 Example 2: Input: 8 7 7 8 7 2 2 8 7 Output: 2 8 7 7 8 2 8 7 2 2 7 8 8 7 7 7 7 8 8 7 7 7 7 8 8 7 2 2 7 8 2 8 7 7 8 2 Example 3: Input: 1 6 3 5 1 6 6 5 6 Output: 6 5 6 6 5 6 5 1 6 6 1 5 1 6 3 3 6 1 1 6 3 3 6 1 5 1 6 6 1 5 6 5 6 6 5 6 Example 4: Input: 5 5 5 5 3 7 5 2 5 Output: 5 2 5 5 2 5 5 3 7 7 3 5 5 5 5 5 5 5 5 5 5 5 5 5 5 3 7 7 3 5 5 2 5 5 2 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 5 5 5 2 5 5 6 3 3	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "6 3 3 3 3 6\n2 5 5 5 5 2\n5 5 5 5 5 5\n5 5 5 5 5 5\n2 5 5 5 5 2\n6 3 3 3 3 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:\n2 8 6\n9 9 6\n9 6 2\nOutput:\n9 6 2 2 6 9\n9 9 6 6 9 9\n2 8 6 6 8 2\n2 8 6 6 8 2\n9 9 6 6 9 9\n9 6 2 2 6 9\n\nExample 2:\n\nInput:\n8 7 7\n8 7 2\n2 8 7\nOutput:\n2 8 7 7 8 2\n8 7 2 2 7 8\n8 7 7 7 7 8\n8 7 7 7 7 8\n8 7 2 2 7 8\n2 8 7 7 8 2\n\nExample 3:\n\nInput:\n1 6 3\n5 1 6\n6 5 6\nOutput:\n6 5 6 6 5 6\n5 1 6 6 1 5\n1 6 3 3 6 1\n1 6 3 3 6 1\n5 1 6 6 1 5\n6 5 6 6 5 6\n\nExample 4:\n\nInput:\n5 5 5\n5 3 7\n5 2 5\nOutput:\n5 2 5 5 2 5\n5 3 7 7 3 5\n5 5 5 5 5 5\n5 5 5 5 5 5\n5 3 7 7 3 5\n5 2 5 5 2 5\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n5 5 5\n2 5 5\n6 3 3\n", "answer": "6 3 3 3 3 6\n2 5 5 5 5 2\n5 5 5 5 5 5\n5 5 5 5 5 5\n2 5 5 5 5 2\n6 3 3 3 3 6", "metadata": {"source_dataset": "arc_agi", "source_index": 74, "input": [[5, 5, 5], [2, 5, 5], [6, 3, 3]], "output": [[6, 3, 3, 3, 3, 6], [2, 5, 5, 5, 5, 2], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [2, 5, 5, 5, 5, 2], [6, 3, 3, 3, 3, 6]], "task_id": "67e8384a", "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": 74, "input": [[5, 5, 5], [2, 5, 5], [6, 3, 3]], "output": [[6, 3, 3, 3, 3, 6], [2, 5, 5, 5, 5, 2], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [2, 5, 5, 5, 5, 2], [6, 3, 3, 3, 3, 6]], "task_id": "67e8384a", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 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 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 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 4 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 8 8 8 4 4 4 8 8 8 8 8 8 8 4 8 8 8 8 8 8 4 4 4 4 4 8 4 4 4 4 4 4 4 4 4 4 8 8 8 8 8 4 4 4 4 8 8 8 8 8 4 4 4 4 4 8 4 4 4 4 8 8 8 4 4 4 8 8 8 8 8 4 4 4 4 8 8 8 8 8 4 4 4 4 4 8 8 8 4 8 8 8 8 8 4 8 8 8 8 8 8 4 4 4 4 8 8 8 8 8 4 4 4 4 4 8 8 8 4 8 8 8 8 4 4 4 8 8 8 8 8 4 4 4 4 8 8 8 8 8 8 4 8 8 8 8 8 8 4 8 8 8 8 4 4 4 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8 4 8 8 8 8 4 4 4 4 4 8 8 4 4 4 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8 4 8 8 8 8 4 4 4 4 4 8 8 8 8 8 8 8 8 8 4 4 4 4 4 8 8 8 8 8 8 4 8 8 8 8 4 6 4 4 4 8 8 4 4 4 4 8 8 8 4 4 4 4 4 8 8 8 8 8 8 4 8 8 8 8 4 4 4 4 4 8 8 4 4 4 4 8 8 8 4 4 4 4 4 8 8 8 8 4 4 4 4 4 8 8 4 4 4 4 4 8 8 4 4 4 4 4 4 4 4 4 4 4 4 8 8 8 8 4 4 4 4 4 8 8 4 4 4 4 4 8 8 4 4 4 4 8 8 8 4 4 4 4 4 4 4 4 4 4 4 3 4 4 8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 4 4 4 4 4 8 8 8 8 4 4 4 4 4 8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 4 4 4 4 4 8 8 8 8 4 4 4 4 4 8 8 8 8 4 4 4 4 4 4 8 8 8 8 8 8 4 4 4 4 4 8 8 8 8 8 8 4 8 8 8 8 8 8 4 4 4 4 4 4 8 8 4 4 4 8 4 4 4 4 4 8 8 8 8 8 8 4 8 8 8 8 8 8 4 4 4 4 4 4 4 4 4 4 4 8 8 8 4 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 4 4 4 4 4 4 8 8 4 4 4 8 8 8 4 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 4 4 4 4 4 4 8 8 8 8 8 8 8 4 4 4 8 8 4 4 4 8 4 4 4 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 4 4 4 8 8 4 4 4 4 4 4 4 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 4 4 4 8 8 4 4 4 8 4 4 4 8 8 8 8 8 8 8 4 4 4 8 8 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 4 4 4 4 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Output: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 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 4 3 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 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 4 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 8 8 8 4 4 4 8 8 8 8 8 8 8 4 8 8 8 8 8 8 4 4 4 4 4 8 4 6 6 4 4 4 4 4 6 4 8 8 8 8 8 4 4 4 4 8 8 8 8 8 4 3 3 3 4 8 4 4 4 4 8 8 8 4 4 4 8 8 8 8 8 4 3 3 4 8 8 8 8 8 4 3 3 3 4 8 8 8 4 8 8 8 8 8 4 8 8 8 8 8 8 4 3 3 4 8 8 8 8 8 4 4 4 4 4 8 8 8 4 8 8 8 8 4 4 4 8 8 8 8 8 4 4 4 4 8 8 8 8 8 8 4 8 8 8 8 8 8 4 8 8 8 8 4 6 4 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8 4 8 8 8 8 4 4 4 4 4 8 8 4 4 4 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8 4 8 8 8 8 4 6 6 6 4 8 8 8 8 8 8 8 8 8 4 4 4 4 4 8 8 8 8 8 8 4 8 8 8 8 4 6 6 6 4 8 8 4 4 4 4 8 8 8 4 3 3 3 4 8 8 8 8 8 8 4 8 8 8 8 4 6 6 6 4 8 8 4 3 3 4 8 8 8 4 3 3 3 4 8 8 8 8 4 4 4 4 4 8 8 4 6 6 6 4 8 8 4 3 3 4 4 4 4 4 3 3 3 4 8 8 8 8 4 3 3 3 4 8 8 4 4 4 4 4 8 8 4 4 4 4 8 8 8 4 3 3 3 4 4 4 4 4 4 3 3 3 4 8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 4 3 3 3 4 8 8 8 8 4 3 3 3 4 8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 4 3 3 3 4 8 8 8 8 4 4 4 4 4 8 8 8 8 4 4 4 4 4 4 8 8 8 8 8 8 4 3 3 3 4 8 8 8 8 8 8 4 8 8 8 8 8 8 4 6 6 6 6 4 8 8 4 4 4 8 4 4 4 4 4 8 8 8 8 8 8 4 8 8 8 8 8 8 4 6 6 6 6 4 4 4 4 6 4 8 8 8 4 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 4 6 6 6 6 4 8 8 4 4 4 8 8 8 4 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 4 4 4 4 4 4 8 8 8 8 8 8 8 4 4 4 8 8 4 4 4 8 4 4 4 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 4 3 4 8 8 4 3 4 4 4 3 4 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 4 4 4 8 8 4 4 4 8 4 4 4 8 8 8 8 8 8 8 4 4 4 8 8 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 4 6 4 4 4 4 6 4 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 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Example 2: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 4 4 4 8 4 4 4 8 4 4 4 8 4 4 4 8 8 8 4 4 4 4 4 4 4 8 4 4 4 8 8 4 8 8 8 8 4 4 4 8 4 4 4 8 4 4 4 8 8 4 8 8 8 8 8 4 8 8 8 8 8 8 8 4 8 8 4 4 4 4 8 4 4 4 4 4 4 8 8 8 4 4 4 8 4 4 4 4 8 4 4 4 4 4 4 8 8 8 4 6 4 8 4 4 4 4 8 4 4 4 4 4 4 8 8 8 4 4 4 8 4 4 4 4 8 4 4 4 4 4 4 8 8 8 8 8 8 8 8 8 4 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 4 8 8 8 8 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 4 8 8 8 8 4 4 4 4 4 4 4 4 8 8 4 9 4 4 8 8 8 8 4 4 4 8 8 4 2 4 8 8 4 4 4 4 8 8 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Output: 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 2 4 8 8 8 4 4 4 8 4 4 4 8 4 4 4 8 4 4 4 8 8 8 4 9 4 4 4 9 4 8 4 6 4 8 8 4 8 8 8 8 4 4 4 8 4 4 4 8 4 4 4 8 8 4 8 8 8 8 8 4 8 8 8 8 8 8 8 4 8 8 4 4 4 4 8 4 4 4 4 4 4 8 8 8 4 4 4 8 4 2 2 4 8 4 9 9 9 9 4 8 8 8 4 6 4 8 4 2 2 4 8 4 9 9 9 9 4 8 8 8 4 4 4 8 4 4 4 4 8 4 4 4 4 4 4 8 8 8 8 8 8 8 8 8 4 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 4 8 8 8 8 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 4 8 8 8 8 4 2 4 4 4 4 2 4 8 8 4 9 9 4 8 8 8 8 4 2 4 8 8 4 2 4 8 8 4 9 9 4 8 8 8 8 4 4 4 8 8 4 4 4 8 8 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Example 3: Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 4 4 2 4 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 8 8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 4 4 4 8 8 8 8 8 8 4 4 4 8 4 4 4 4 8 8 8 8 4 8 8 8 8 8 8 8 4 4 4 4 4 4 3 4 8 8 8 4 4 4 4 8 8 8 8 8 4 4 4 8 4 4 4 4 8 8 8 4 4 4 4 8 8 8 8 8 8 8 8 8 4 4 4 4 8 8 8 4 4 4 4 8 4 4 4 8 8 8 8 8 4 8 8 8 8 8 8 4 4 4 4 4 4 4 4 8 8 8 8 8 4 8 8 8 8 8 8 4 4 4 4 8 4 6 4 8 8 8 4 4 4 4 8 8 8 8 8 4 4 4 4 8 4 4 4 8 8 8 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Output: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 4 2 4 4 4 2 2 4 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 4 2 2 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 8 8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 3 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 4 6 4 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 4 4 4 8 8 8 8 8 8 4 4 4 8 4 4 4 4 8 8 8 8 4 8 8 8 8 8 8 8 4 3 4 4 4 3 3 4 8 8 8 4 4 4 4 8 8 8 8 8 4 4 4 8 4 3 3 4 8 8 8 4 6 6 4 8 8 8 8 8 8 8 8 8 4 4 4 4 8 8 8 4 6 6 4 8 4 4 4 8 8 8 8 8 4 8 8 8 8 8 8 4 6 6 4 4 4 6 4 8 8 8 8 8 4 8 8 8 8 8 8 4 6 6 4 8 4 6 4 8 8 8 4 4 4 4 8 8 8 8 8 4 4 4 4 8 4 4 4 8 8 8 4 3 3 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 8 4 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4 9 4 8 8 8 8 8 8 8 8 4 4 4 4 8 4 4 4 4 4 4 8 4 4 4 4 8 4 4 4 4 4 8 8 8 8 8 8 8 8 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4 4 8 4 4 4 4 4 8 8 8 8 8 8 8 8 4 4 4 4 8 4 4 4 4 4 4 8 8 4 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 8 4 4 4 4 8 4 4 4 4 4 4 8 8 4 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 4 4 4 4 4 4 8 8 4 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 4 8 8 4 4 4 4 4 4 4 8 8 8 4 8 8 8 8 8 8 8 8 8 4 4 4 4 8 8 8 4 8 8 4 4 4 4 4 4 4 8 4 4 4 4 4 8 8 8 4 4 4 8 4 4 4 4 8 8 4 4 4 8 4 4 4 4 4 4 4 8 4 4 4 4 4 8 8 8 4 4 4 4 4 4 4 4 8 8 4 4 4 8 4 4 4 4 4 4 4 8 4 4 4 4 4 8 8 8 4 4 4 8 4 4 4 4 8 8 4 4 4 8 4 4 4 4 4 4 4 4 4 4 4 5 4 8 8 8 4 4 4 8 4 4 4 4 8 8 4 4 4 8 4 4 4 4 4 4 4 8 4 4 4 4 4 8 8 8 8 8 8 8 4 4 4 4 8 8 8 4 8 8 4 4 4 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 4 8 8 4 4 4 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8 8 4 8 8 4 4 4 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 4 4 8 4 4 4 8 4 4 4 4 4 4 4 8 4 4 4 8 8 8 4 4 4 4 8 4 4 4 4 4 4 8 4 4 4 8 4 4 4 4 4 4 4 4 4 4 4 8 8 8 4 4 4 4 4 4 4 4 4 2 4 8 4 4 4 8 4 4 4 4 4 4 4 8 4 4 4 8 8 8 4 4 4 4 8 4 4 4 4 4 4 8 4 4 4 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 4 4 4 4 4 4 8 8 4 8 8 8 8 4 4 4 4 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 4 8 8 8 8 4 8 8 8 8 4 4 4 4 8 8 8 8 8 4 4 4 8 4 4 4 8 8 8 8 4 8 8 8 4 4 4 4 8 8 4 4 4 4 8 8 8 8 8 4 4 4 4 4 4 4 8 8 4 4 4 4 8 8 4 4 4 4 8 8 8 8 4 8 8 8 8 8 8 4 4 4 8 4 4 4 8 8 4 4 4 4 8 8 4 4 4 4 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 8 8 4 4 4 4 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n4 4 4 4 8 4 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 4 4 8\n4 9 9 4 4 4 9 9 9 4 8 8 8 8 8 8 8 8 4 4 4 4 8 4 2 2 2 2 4 8\n4 9 9 4 8 4 9 9 9 4 8 8 8 8 8 8 8 8 4 2 2 4 4 4 2 2 2 2 4 8\n4 4 4 4 8 4 4 4 4 4 8 8 8 8 8 8 8 8 4 2 2 4 8 4 2 2 2 2 4 8\n8 4 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 8 4 4 4 4 8 4 2 2 2 2 4 8\n8 4 8 8 8 8 8 8 8 8 8 8 8 4 5 4 8 8 8 8 8 8 8 4 4 4 4 4 4 8\n8 4 8 8 8 8 8 8 8 8 8 8 8 4 5 4 8 8 8 8 8 8 8 8 8 8 4 8 8 8\n8 4 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 4 8 8 8\n8 4 8 8 4 4 4 4 4 4 4 8 8 8 4 8 8 8 8 8 8 8 8 8 4 4 4 4 8 8\n8 4 8 8 4 5 5 5 5 5 4 8 4 4 4 4 4 8 8 8 4 4 4 8 4 2 2 4 8 8\n4 4 4 8 4 5 5 5 5 5 4 8 4 5 5 5 4 8 8 8 4 2 4 4 4 2 2 4 8 8\n4 9 4 8 4 5 5 5 5 5 4 8 4 5 5 5 4 8 8 8 4 2 4 8 4 2 2 4 8 8\n4 9 4 8 4 5 5 5 5 5 4 4 4 5 5 5 4 8 8 8 4 4 4 8 4 2 2 4 8 8\n4 4 4 8 4 5 5 5 5 5 4 8 4 4 4 4 4 8 8 8 8 8 8 8 4 4 4 4 8 8\n8 4 8 8 4 5 5 5 5 5 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8\n8 4 8 8 4 5 5 5 5 5 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8\n8 4 8 8 4 5 5 5 5 5 4 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 4 4 8\n4 4 4 8 4 5 5 5 5 5 4 8 4 4 4 8 8 8 4 4 4 4 8 4 2 2 2 2 4 8\n4 9 4 8 4 5 5 5 5 5 4 4 4 5 4 8 8 8 4 2 2 4 4 4 2 2 2 2 4 8\n4 9 4 8 4 4 4 4 4 4 4 8 4 4 4 8 8 8 4 4 4 4 8 4 2 2 2 2 4 8\n4 4 4 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 4 4 4 4 4 4 8\n8 4 8 8 8 8 4 4 4 4 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 4 8 8 8\n8 4 8 8 8 8 4 5 5 4 8 8 8 8 8 4 4 4 8 4 2 4 8 8 8 8 4 8 8 8\n4 4 4 4 8 8 4 4 4 4 8 8 8 8 8 4 2 4 4 4 2 4 8 8 4 4 4 4 8 8\n4 9 9 4 8 8 8 8 4 8 8 8 8 8 8 4 4 4 8 4 4 4 8 8 4 2 2 4 8 8\n4 9 9 4 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 2 2 4 8 8\n4 4 4 4 8 8 8 4 5 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 8 8\n8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 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 4 4 4 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 4 4 4 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 4 8 8 8 8 8 8 8 8 8 8 8 8\n4 4 4 4 8 8 8 4 4 4 8 8 8 8 8 8 8 4 8 8 8 8 8 8 4 4 4 4 4 8\n4 4 4 4 4 4 4 4 4 4 8 8 8 8 8 4 4 4 4 8 8 8 8 8 4 4 4 4 4 8\n4 4 4 4 8 8 8 4 4 4 8 8 8 8 8 4 4 4 4 8 8 8 8 8 4 4 4 4 4 8\n8 8 4 8 8 8 8 8 4 8 8 8 8 8 8 4 4 4 4 8 8 8 8 8 4 4 4 4 4 8\n8 8 4 8 8 8 8 4 4 4 8 8 8 8 8 4 4 4 4 8 8 8 8 8 8 4 8 8 8 8\n8 8 4 8 8 8 8 4 4 4 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8 4 8 8 8 8\n4 4 4 4 4 8 8 4 4 4 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8 4 8 8 8 8\n4 4 4 4 4 8 8 8 8 8 8 8 8 8 4 4 4 4 4 8 8 8 8 8 8 4 8 8 8 8\n4 6 4 4 4 8 8 4 4 4 4 8 8 8 4 4 4 4 4 8 8 8 8 8 8 4 8 8 8 8\n4 4 4 4 4 8 8 4 4 4 4 8 8 8 4 4 4 4 4 8 8 8 8 4 4 4 4 4 8 8\n4 4 4 4 4 8 8 4 4 4 4 4 4 4 4 4 4 4 4 8 8 8 8 4 4 4 4 4 8 8\n4 4 4 4 4 8 8 4 4 4 4 8 8 8 4 4 4 4 4 4 4 4 4 4 4 3 4 4 8 8\n8 8 8 4 8 8 8 8 8 8 8 8 8 8 4 4 4 4 4 8 8 8 8 4 4 4 4 4 8 8\n8 8 8 4 8 8 8 8 8 8 8 8 8 8 4 4 4 4 4 8 8 8 8 4 4 4 4 4 8 8\n8 8 4 4 4 4 4 4 8 8 8 8 8 8 4 4 4 4 4 8 8 8 8 8 8 4 8 8 8 8\n8 8 4 4 4 4 4 4 8 8 4 4 4 8 4 4 4 4 4 8 8 8 8 8 8 4 8 8 8 8\n8 8 4 4 4 4 4 4 4 4 4 4 4 8 8 8 4 8 8 8 8 8 8 8 8 4 8 8 8 8\n8 8 4 4 4 4 4 4 8 8 4 4 4 8 8 8 4 8 8 8 8 8 8 8 8 4 8 8 8 8\n8 8 4 4 4 4 4 4 8 8 8 8 8 8 8 4 4 4 8 8 4 4 4 8 4 4 4 8 8 8\n8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 4 4 4 8 8 4 4 4 4 4 4 4 8 8 8\n8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 4 4 4 8 8 4 4 4 8 4 4 4 8 8 8\n8 8 8 8 4 4 4 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 4 4 4 4 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 4 4 4 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\nOutput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 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 4 3 4 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 4 4 4 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 4 8 8 8 8 8 8 8 8 8 8 8 8\n4 4 4 4 8 8 8 4 4 4 8 8 8 8 8 8 8 4 8 8 8 8 8 8 4 4 4 4 4 8\n4 6 6 4 4 4 4 4 6 4 8 8 8 8 8 4 4 4 4 8 8 8 8 8 4 3 3 3 4 8\n4 4 4 4 8 8 8 4 4 4 8 8 8 8 8 4 3 3 4 8 8 8 8 8 4 3 3 3 4 8\n8 8 4 8 8 8 8 8 4 8 8 8 8 8 8 4 3 3 4 8 8 8 8 8 4 4 4 4 4 8\n8 8 4 8 8 8 8 4 4 4 8 8 8 8 8 4 4 4 4 8 8 8 8 8 8 4 8 8 8 8\n8 8 4 8 8 8 8 4 6 4 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8 4 8 8 8 8\n4 4 4 4 4 8 8 4 4 4 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8 4 8 8 8 8\n4 6 6 6 4 8 8 8 8 8 8 8 8 8 4 4 4 4 4 8 8 8 8 8 8 4 8 8 8 8\n4 6 6 6 4 8 8 4 4 4 4 8 8 8 4 3 3 3 4 8 8 8 8 8 8 4 8 8 8 8\n4 6 6 6 4 8 8 4 3 3 4 8 8 8 4 3 3 3 4 8 8 8 8 4 4 4 4 4 8 8\n4 6 6 6 4 8 8 4 3 3 4 4 4 4 4 3 3 3 4 8 8 8 8 4 3 3 3 4 8 8\n4 4 4 4 4 8 8 4 4 4 4 8 8 8 4 3 3 3 4 4 4 4 4 4 3 3 3 4 8 8\n8 8 8 4 8 8 8 8 8 8 8 8 8 8 4 3 3 3 4 8 8 8 8 4 3 3 3 4 8 8\n8 8 8 4 8 8 8 8 8 8 8 8 8 8 4 3 3 3 4 8 8 8 8 4 4 4 4 4 8 8\n8 8 4 4 4 4 4 4 8 8 8 8 8 8 4 3 3 3 4 8 8 8 8 8 8 4 8 8 8 8\n8 8 4 6 6 6 6 4 8 8 4 4 4 8 4 4 4 4 4 8 8 8 8 8 8 4 8 8 8 8\n8 8 4 6 6 6 6 4 4 4 4 6 4 8 8 8 4 8 8 8 8 8 8 8 8 4 8 8 8 8\n8 8 4 6 6 6 6 4 8 8 4 4 4 8 8 8 4 8 8 8 8 8 8 8 8 4 8 8 8 8\n8 8 4 4 4 4 4 4 8 8 8 8 8 8 8 4 4 4 8 8 4 4 4 8 4 4 4 8 8 8\n8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 4 3 4 8 8 4 3 4 4 4 3 4 8 8 8\n8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 4 4 4 8 8 4 4 4 8 4 4 4 8 8 8\n8 8 8 8 4 4 4 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 4 6 4 4 4 4 6 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 4 4 4 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n\nExample 2:\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 8\n8 4 4 4 8 4 4 4 8 4 4 4 8 4 4 4 8 8\n8 4 4 4 4 4 4 4 8 4 4 4 8 8 4 8 8 8\n8 4 4 4 8 4 4 4 8 4 4 4 8 8 4 8 8 8\n8 8 4 8 8 8 8 8 8 8 4 8 8 4 4 4 4 8\n4 4 4 4 4 4 8 8 8 4 4 4 8 4 4 4 4 8\n4 4 4 4 4 4 8 8 8 4 6 4 8 4 4 4 4 8\n4 4 4 4 4 4 8 8 8 4 4 4 8 4 4 4 4 8\n4 4 4 4 4 4 8 8 8 8 8 8 8 8 8 4 8 8\n8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8\n8 8 4 8 8 8 8 8 8 4 4 4 8 8 4 4 4 8\n8 4 4 4 4 8 8 8 8 4 4 4 4 4 4 4 4 8\n8 4 9 4 4 8 8 8 8 4 4 4 8 8 4 2 4 8\n8 4 4 4 4 8 8 8 8 4 4 4 8 8 4 4 4 8\n8 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\nOutput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 4 2 4 8 8\n8 4 4 4 8 4 4 4 8 4 4 4 8 4 4 4 8 8\n8 4 9 4 4 4 9 4 8 4 6 4 8 8 4 8 8 8\n8 4 4 4 8 4 4 4 8 4 4 4 8 8 4 8 8 8\n8 8 4 8 8 8 8 8 8 8 4 8 8 4 4 4 4 8\n4 4 4 4 4 4 8 8 8 4 4 4 8 4 2 2 4 8\n4 9 9 9 9 4 8 8 8 4 6 4 8 4 2 2 4 8\n4 9 9 9 9 4 8 8 8 4 4 4 8 4 4 4 4 8\n4 4 4 4 4 4 8 8 8 8 8 8 8 8 8 4 8 8\n8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8\n8 8 4 8 8 8 8 8 8 4 4 4 8 8 4 4 4 8\n8 4 4 4 4 8 8 8 8 4 2 4 4 4 4 2 4 8\n8 4 9 9 4 8 8 8 8 4 2 4 8 8 4 2 4 8\n8 4 9 9 4 8 8 8 8 4 4 4 8 8 4 4 4 8\n8 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\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 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 4 4 4 4 8\n8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 4 4 2 4 8\n8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 4 4 4 4 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 8\n8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 4 4 4 8 8 8 4 4 4 8 8 8 8 8 8\n8 8 8 8 8 8 4 8 8 8 8 4 4 4 8 8 8 8 8 8\n8 8 8 8 8 8 4 8 8 8 8 4 4 4 8 8 8 8 8 8\n4 4 4 8 4 4 4 4 8 8 8 8 4 8 8 8 8 8 8 8\n4 4 4 4 4 4 3 4 8 8 8 4 4 4 4 8 8 8 8 8\n4 4 4 8 4 4 4 4 8 8 8 4 4 4 4 8 8 8 8 8\n8 8 8 8 4 4 4 4 8 8 8 4 4 4 4 8 4 4 4 8\n8 8 8 8 4 8 8 8 8 8 8 4 4 4 4 4 4 4 4 8\n8 8 8 8 4 8 8 8 8 8 8 4 4 4 4 8 4 6 4 8\n8 8 4 4 4 4 8 8 8 8 8 4 4 4 4 8 4 4 4 8\n8 8 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 4 4 4 4 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 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 4 4 4 4 8\n8 8 8 8 8 8 8 8 8 8 8 4 2 4 4 4 2 2 4 8\n8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 4 2 2 4 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 8\n8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 4 3 4 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 4 4 4 8 8 8 4 4 4 8 8 8 8 8 8\n8 8 8 8 8 8 4 8 8 8 8 4 6 4 8 8 8 8 8 8\n8 8 8 8 8 8 4 8 8 8 8 4 4 4 8 8 8 8 8 8\n4 4 4 8 4 4 4 4 8 8 8 8 4 8 8 8 8 8 8 8\n4 3 4 4 4 3 3 4 8 8 8 4 4 4 4 8 8 8 8 8\n4 4 4 8 4 3 3 4 8 8 8 4 6 6 4 8 8 8 8 8\n8 8 8 8 4 4 4 4 8 8 8 4 6 6 4 8 4 4 4 8\n8 8 8 8 4 8 8 8 8 8 8 4 6 6 4 4 4 6 4 8\n8 8 8 8 4 8 8 8 8 8 8 4 6 6 4 8 4 6 4 8\n8 8 4 4 4 4 8 8 8 8 8 4 4 4 4 8 4 4 4 8\n8 8 4 3 3 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n4 4 4 4 8 4 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 4 4 8\n4 4 4 4 4 4 4 4 9 4 8 8 8 8 8 8 8 8 4 4 4 4 8 4 4 4 4 4 4 8\n4 4 4 4 8 4 4 4 4 4 8 8 8 8 8 8 8 8 4 4 4 4 4 4 4 4 4 4 4 8\n4 4 4 4 8 4 4 4 4 4 8 8 8 8 8 8 8 8 4 4 4 4 8 4 4 4 4 4 4 8\n8 4 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 8 4 4 4 4 8 4 4 4 4 4 4 8\n8 4 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 4 4 4 4 4 4 8\n8 4 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 4 8 8 8\n8 4 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 4 8 8 8\n8 4 8 8 4 4 4 4 4 4 4 8 8 8 4 8 8 8 8 8 8 8 8 8 4 4 4 4 8 8\n8 4 8 8 4 4 4 4 4 4 4 8 4 4 4 4 4 8 8 8 4 4 4 8 4 4 4 4 8 8\n4 4 4 8 4 4 4 4 4 4 4 8 4 4 4 4 4 8 8 8 4 4 4 4 4 4 4 4 8 8\n4 4 4 8 4 4 4 4 4 4 4 8 4 4 4 4 4 8 8 8 4 4 4 8 4 4 4 4 8 8\n4 4 4 8 4 4 4 4 4 4 4 4 4 4 4 5 4 8 8 8 4 4 4 8 4 4 4 4 8 8\n4 4 4 8 4 4 4 4 4 4 4 8 4 4 4 4 4 8 8 8 8 8 8 8 4 4 4 4 8 8\n8 4 8 8 4 4 4 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8\n8 4 8 8 4 4 4 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8\n8 4 8 8 4 4 4 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 4 4 8\n4 4 4 8 4 4 4 4 4 4 4 8 4 4 4 8 8 8 4 4 4 4 8 4 4 4 4 4 4 8\n4 4 4 8 4 4 4 4 4 4 4 4 4 4 4 8 8 8 4 4 4 4 4 4 4 4 4 2 4 8\n4 4 4 8 4 4 4 4 4 4 4 8 4 4 4 8 8 8 4 4 4 4 8 4 4 4 4 4 4 8\n4 4 4 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 4 4 4 4 4 4 8\n8 4 8 8 8 8 4 4 4 4 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 4 8 8 8\n8 4 8 8 8 8 4 4 4 4 8 8 8 8 8 4 4 4 8 4 4 4 8 8 8 8 4 8 8 8\n4 4 4 4 8 8 4 4 4 4 8 8 8 8 8 4 4 4 4 4 4 4 8 8 4 4 4 4 8 8\n4 4 4 4 8 8 8 8 4 8 8 8 8 8 8 4 4 4 8 4 4 4 8 8 4 4 4 4 8 8\n4 4 4 4 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 8 8\n4 4 4 4 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 8 8\n8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n", "answer": "8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n4 4 4 4 8 4 4 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 4 4 8\n4 9 9 4 4 4 9 9 9 4 8 8 8 8 8 8 8 8 4 4 4 4 8 4 2 2 2 2 4 8\n4 9 9 4 8 4 9 9 9 4 8 8 8 8 8 8 8 8 4 2 2 4 4 4 2 2 2 2 4 8\n4 4 4 4 8 4 4 4 4 4 8 8 8 8 8 8 8 8 4 2 2 4 8 4 2 2 2 2 4 8\n8 4 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 8 4 4 4 4 8 4 2 2 2 2 4 8\n8 4 8 8 8 8 8 8 8 8 8 8 8 4 5 4 8 8 8 8 8 8 8 4 4 4 4 4 4 8\n8 4 8 8 8 8 8 8 8 8 8 8 8 4 5 4 8 8 8 8 8 8 8 8 8 8 4 8 8 8\n8 4 8 8 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 4 8 8 8\n8 4 8 8 4 4 4 4 4 4 4 8 8 8 4 8 8 8 8 8 8 8 8 8 4 4 4 4 8 8\n8 4 8 8 4 5 5 5 5 5 4 8 4 4 4 4 4 8 8 8 4 4 4 8 4 2 2 4 8 8\n4 4 4 8 4 5 5 5 5 5 4 8 4 5 5 5 4 8 8 8 4 2 4 4 4 2 2 4 8 8\n4 9 4 8 4 5 5 5 5 5 4 8 4 5 5 5 4 8 8 8 4 2 4 8 4 2 2 4 8 8\n4 9 4 8 4 5 5 5 5 5 4 4 4 5 5 5 4 8 8 8 4 4 4 8 4 2 2 4 8 8\n4 4 4 8 4 5 5 5 5 5 4 8 4 4 4 4 4 8 8 8 8 8 8 8 4 4 4 4 8 8\n8 4 8 8 4 5 5 5 5 5 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8\n8 4 8 8 4 5 5 5 5 5 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 8\n8 4 8 8 4 5 5 5 5 5 4 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 4 4 8\n4 4 4 8 4 5 5 5 5 5 4 8 4 4 4 8 8 8 4 4 4 4 8 4 2 2 2 2 4 8\n4 9 4 8 4 5 5 5 5 5 4 4 4 5 4 8 8 8 4 2 2 4 4 4 2 2 2 2 4 8\n4 9 4 8 4 4 4 4 4 4 4 8 4 4 4 8 8 8 4 4 4 4 8 4 2 2 2 2 4 8\n4 4 4 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 4 8 8 4 4 4 4 4 4 8\n8 4 8 8 8 8 4 4 4 4 8 8 8 8 8 8 8 8 8 4 4 4 8 8 8 8 4 8 8 8\n8 4 8 8 8 8 4 5 5 4 8 8 8 8 8 4 4 4 8 4 2 4 8 8 8 8 4 8 8 8\n4 4 4 4 8 8 4 4 4 4 8 8 8 8 8 4 2 4 4 4 2 4 8 8 4 4 4 4 8 8\n4 9 9 4 8 8 8 8 4 8 8 8 8 8 8 4 4 4 8 4 4 4 8 8 4 2 2 4 8 8\n4 9 9 4 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 2 2 4 8 8\n4 4 4 4 8 8 8 4 5 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 4 4 4 8 8\n8 8 8 8 8 8 8 4 4 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8\n8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8", "metadata": {"source_dataset": "arc_agi", "source_index": 75, "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], [4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 4, 4, 4, 9, 4, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 8], [8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 8], [8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 8], [8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8], [8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8], [8, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8], [8, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 8, 8, 8, 4, 4, 4, 8, 4, 4, 4, 4, 8, 8], [4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 8, 8, 8, 4, 4, 4, 8, 4, 4, 4, 4, 8, 8], [4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 8, 8, 8, 4, 4, 4, 8, 4, 4, 4, 4, 8, 8], [4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8], [8, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8], [8, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8], [8, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 8, 4, 4, 4, 8, 8, 8, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 8], [4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 8, 4, 4, 4, 8, 8, 8, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 4, 4, 4, 4, 4, 4, 8], [8, 4, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8, 4, 8, 8, 8], [8, 4, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8, 8, 8, 8, 4, 4, 4, 8, 4, 4, 4, 8, 8, 8, 8, 4, 8, 8, 8], [4, 4, 4, 4, 8, 8, 4, 4, 4, 4, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 8, 8, 4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 4, 4, 4, 8, 8, 4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "output": [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 8], [4, 9, 9, 4, 4, 4, 9, 9, 9, 4, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 8, 4, 2, 2, 2, 2, 4, 8], [4, 9, 9, 4, 8, 4, 9, 9, 9, 4, 8, 8, 8, 8, 8, 8, 8, 8, 4, 2, 2, 4, 4, 4, 2, 2, 2, 2, 4, 8], [4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 4, 2, 2, 4, 8, 4, 2, 2, 2, 2, 4, 8], [8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 4, 8, 4, 2, 2, 2, 2, 4, 8], [8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 5, 4, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 8], [8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 5, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8], [8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8], [8, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8], [8, 4, 8, 8, 4, 5, 5, 5, 5, 5, 4, 8, 4, 4, 4, 4, 4, 8, 8, 8, 4, 4, 4, 8, 4, 2, 2, 4, 8, 8], [4, 4, 4, 8, 4, 5, 5, 5, 5, 5, 4, 8, 4, 5, 5, 5, 4, 8, 8, 8, 4, 2, 4, 4, 4, 2, 2, 4, 8, 8], [4, 9, 4, 8, 4, 5, 5, 5, 5, 5, 4, 8, 4, 5, 5, 5, 4, 8, 8, 8, 4, 2, 4, 8, 4, 2, 2, 4, 8, 8], [4, 9, 4, 8, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 8, 8, 8, 4, 4, 4, 8, 4, 2, 2, 4, 8, 8], [4, 4, 4, 8, 4, 5, 5, 5, 5, 5, 4, 8, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8], [8, 4, 8, 8, 4, 5, 5, 5, 5, 5, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8], [8, 4, 8, 8, 4, 5, 5, 5, 5, 5, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8], [8, 4, 8, 8, 4, 5, 5, 5, 5, 5, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 8, 4, 5, 5, 5, 5, 5, 4, 8, 4, 4, 4, 8, 8, 8, 4, 4, 4, 4, 8, 4, 2, 2, 2, 2, 4, 8], [4, 9, 4, 8, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 8, 8, 8, 4, 2, 2, 4, 4, 4, 2, 2, 2, 2, 4, 8], [4, 9, 4, 8, 4, 4, 4, 4, 4, 4, 4, 8, 4, 4, 4, 8, 8, 8, 4, 4, 4, 4, 8, 4, 2, 2, 2, 2, 4, 8], [4, 4, 4, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 4, 4, 4, 4, 4, 4, 8], [8, 4, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8, 4, 8, 8, 8], [8, 4, 8, 8, 8, 8, 4, 5, 5, 4, 8, 8, 8, 8, 8, 4, 4, 4, 8, 4, 2, 4, 8, 8, 8, 8, 4, 8, 8, 8], [4, 4, 4, 4, 8, 8, 4, 4, 4, 4, 8, 8, 8, 8, 8, 4, 2, 4, 4, 4, 2, 4, 8, 8, 4, 4, 4, 4, 8, 8], [4, 9, 9, 4, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 4, 4, 4, 8, 8, 4, 2, 2, 4, 8, 8], [4, 9, 9, 4, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 2, 2, 4, 8, 8], [4, 4, 4, 4, 8, 8, 8, 4, 5, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "task_id": "09c534e7", "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": 75, "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], [4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 4, 4, 4, 4, 9, 4, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 8], [8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 8], [8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 8], [8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8], [8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8], [8, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8], [8, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 8, 8, 8, 4, 4, 4, 8, 4, 4, 4, 4, 8, 8], [4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8], [4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 8, 8, 8, 4, 4, 4, 8, 4, 4, 4, 4, 8, 8], [4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 8, 8, 8, 4, 4, 4, 8, 4, 4, 4, 4, 8, 8], [4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8], [8, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8], [8, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8], [8, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 8, 4, 4, 4, 8, 8, 8, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 4, 8], [4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 4, 8, 4, 4, 4, 8, 8, 8, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 4, 4, 4, 4, 4, 4, 8], [8, 4, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8, 4, 8, 8, 8], [8, 4, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8, 8, 8, 8, 4, 4, 4, 8, 4, 4, 4, 8, 8, 8, 8, 4, 8, 8, 8], [4, 4, 4, 4, 8, 8, 4, 4, 4, 4, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 8, 8, 4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 4, 4, 4, 8, 8, 4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8], [4, 4, 4, 4, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "output": [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 8], [4, 9, 9, 4, 4, 4, 9, 9, 9, 4, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 8, 4, 2, 2, 2, 2, 4, 8], [4, 9, 9, 4, 8, 4, 9, 9, 9, 4, 8, 8, 8, 8, 8, 8, 8, 8, 4, 2, 2, 4, 4, 4, 2, 2, 2, 2, 4, 8], [4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 4, 2, 2, 4, 8, 4, 2, 2, 2, 2, 4, 8], [8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 4, 8, 4, 2, 2, 2, 2, 4, 8], [8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 5, 4, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 8], [8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 5, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8], [8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8], [8, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8], [8, 4, 8, 8, 4, 5, 5, 5, 5, 5, 4, 8, 4, 4, 4, 4, 4, 8, 8, 8, 4, 4, 4, 8, 4, 2, 2, 4, 8, 8], [4, 4, 4, 8, 4, 5, 5, 5, 5, 5, 4, 8, 4, 5, 5, 5, 4, 8, 8, 8, 4, 2, 4, 4, 4, 2, 2, 4, 8, 8], [4, 9, 4, 8, 4, 5, 5, 5, 5, 5, 4, 8, 4, 5, 5, 5, 4, 8, 8, 8, 4, 2, 4, 8, 4, 2, 2, 4, 8, 8], [4, 9, 4, 8, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 5, 5, 4, 8, 8, 8, 4, 4, 4, 8, 4, 2, 2, 4, 8, 8], [4, 4, 4, 8, 4, 5, 5, 5, 5, 5, 4, 8, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8], [8, 4, 8, 8, 4, 5, 5, 5, 5, 5, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8], [8, 4, 8, 8, 4, 5, 5, 5, 5, 5, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 8], [8, 4, 8, 8, 4, 5, 5, 5, 5, 5, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 8], [4, 4, 4, 8, 4, 5, 5, 5, 5, 5, 4, 8, 4, 4, 4, 8, 8, 8, 4, 4, 4, 4, 8, 4, 2, 2, 2, 2, 4, 8], [4, 9, 4, 8, 4, 5, 5, 5, 5, 5, 4, 4, 4, 5, 4, 8, 8, 8, 4, 2, 2, 4, 4, 4, 2, 2, 2, 2, 4, 8], [4, 9, 4, 8, 4, 4, 4, 4, 4, 4, 4, 8, 4, 4, 4, 8, 8, 8, 4, 4, 4, 4, 8, 4, 2, 2, 2, 2, 4, 8], [4, 4, 4, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 8, 8, 4, 4, 4, 4, 4, 4, 8], [8, 4, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8, 4, 8, 8, 8], [8, 4, 8, 8, 8, 8, 4, 5, 5, 4, 8, 8, 8, 8, 8, 4, 4, 4, 8, 4, 2, 4, 8, 8, 8, 8, 4, 8, 8, 8], [4, 4, 4, 4, 8, 8, 4, 4, 4, 4, 8, 8, 8, 8, 8, 4, 2, 4, 4, 4, 2, 4, 8, 8, 4, 4, 4, 4, 8, 8], [4, 9, 9, 4, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 4, 4, 4, 8, 8, 4, 2, 2, 4, 8, 8], [4, 9, 9, 4, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 2, 2, 4, 8, 8], [4, 4, 4, 4, 8, 8, 8, 4, 5, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8], [8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]], "task_id": "09c534e7", "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 5 5 5 5 5 6 5 5 6 5 5 5 6 5 5 5 5 6 5 6 5 5 5 5 5 5 6 5 5 5 5 Output: 6 9 9 9 9 9 6 5 5 6 9 9 9 6 5 5 5 5 6 9 6 5 5 5 5 5 5 6 5 5 5 5 Example 2: Input: 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 5 1 5 1 5 5 5 5 5 5 5 5 1 5 5 5 1 5 5 5 1 1 5 1 5 5 5 5 5 1 5 1 5 5 1 5 5 5 5 5 5 5 1 5 5 Output: 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 5 1 9 1 5 5 5 5 5 5 5 5 1 9 9 9 1 9 9 9 1 1 9 1 9 9 9 9 9 1 9 1 5 5 1 9 9 9 9 9 9 9 1 5 5 Example 3: Input: 5 5 5 3 5 5 5 5 5 5 3 5 3 5 5 5 5 3 5 5 5 3 5 5 Output: 5 5 5 3 5 5 5 5 5 5 3 9 3 5 5 5 5 3 9 9 9 3 5 5 Example 4: Input: 5 5 5 5 7 5 5 5 5 5 5 7 5 7 5 5 5 5 7 5 5 5 7 5 5 7 5 5 5 5 5 7 7 5 5 5 5 5 5 5 Output: 5 5 5 5 7 5 5 5 5 5 5 7 9 7 5 5 5 5 7 9 9 9 7 5 5 7 9 9 9 9 9 7 7 5 5 5 5 5 5 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 5 5 5 5 5 2 5 5 5 2 5 5 5 2 5 2 5 5 5 2 5 2 5 5 5 2 5 5 5 2 5 5 5 5 5 2	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 5 5 5 5 2 5 5 5\n2 9 9 9 2 9 2 5 5\n5 2 9 2 9 9 9 2 5\n5 5 2 9 9 9 9 9 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 5 5 5 5 5 6 5\n5 6 5 5 5 6 5 5\n5 5 6 5 6 5 5 5\n5 5 5 6 5 5 5 5\nOutput:\n6 9 9 9 9 9 6 5\n5 6 9 9 9 6 5 5\n5 5 6 9 6 5 5 5\n5 5 5 6 5 5 5 5\n\nExample 2:\n\nInput:\n5 5 5 5 5 1 5 5 5 5 5 5\n5 5 5 5 1 5 1 5 5 5 5 5\n5 5 5 1 5 5 5 1 5 5 5 1\n1 5 1 5 5 5 5 5 1 5 1 5\n5 1 5 5 5 5 5 5 5 1 5 5\nOutput:\n5 5 5 5 5 1 5 5 5 5 5 5\n5 5 5 5 1 9 1 5 5 5 5 5\n5 5 5 1 9 9 9 1 9 9 9 1\n1 9 1 9 9 9 9 9 1 9 1 5\n5 1 9 9 9 9 9 9 9 1 5 5\n\nExample 3:\n\nInput:\n5 5 5 3 5 5 5 5\n5 5 3 5 3 5 5 5\n5 3 5 5 5 3 5 5\nOutput:\n5 5 5 3 5 5 5 5\n5 5 3 9 3 5 5 5\n5 3 9 9 9 3 5 5\n\nExample 4:\n\nInput:\n5 5 5 5 7 5 5 5\n5 5 5 7 5 7 5 5\n5 5 7 5 5 5 7 5\n5 7 5 5 5 5 5 7\n7 5 5 5 5 5 5 5\nOutput:\n5 5 5 5 7 5 5 5\n5 5 5 7 9 7 5 5\n5 5 7 9 9 9 7 5\n5 7 9 9 9 9 9 7\n7 5 5 5 5 5 5 5\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n5 5 5 5 5 2 5 5 5\n2 5 5 5 2 5 2 5 5\n5 2 5 2 5 5 5 2 5\n5 5 2 5 5 5 5 5 2\n", "answer": "5 5 5 5 5 2 5 5 5\n2 9 9 9 2 9 2 5 5\n5 2 9 2 9 9 9 2 5\n5 5 2 9 9 9 9 9 2", "metadata": {"source_dataset": "arc_agi", "source_index": 76, "input": [[5, 5, 5, 5, 5, 2, 5, 5, 5], [2, 5, 5, 5, 2, 5, 2, 5, 5], [5, 2, 5, 2, 5, 5, 5, 2, 5], [5, 5, 2, 5, 5, 5, 5, 5, 2]], "output": [[5, 5, 5, 5, 5, 2, 5, 5, 5], [2, 9, 9, 9, 2, 9, 2, 5, 5], [5, 2, 9, 2, 9, 9, 9, 2, 5], [5, 5, 2, 9, 9, 9, 9, 9, 2]], "task_id": "aa18de87", "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": 76, "input": [[5, 5, 5, 5, 5, 2, 5, 5, 5], [2, 5, 5, 5, 2, 5, 2, 5, 5], [5, 2, 5, 2, 5, 5, 5, 2, 5], [5, 5, 2, 5, 5, 5, 5, 5, 2]], "output": [[5, 5, 5, 5, 5, 2, 5, 5, 5], [2, 9, 9, 9, 2, 9, 2, 5, 5], [5, 2, 9, 2, 9, 9, 9, 2, 5], [5, 5, 2, 9, 9, 9, 9, 9, 2]], "task_id": "aa18de87", "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 6 5 6 7 7 6 9 9 6 6 5 6 7 7 7 9 6 6 9 5 7 7 7 6 9 9 9 9 5 7 7 7 7 6 9 9 9 5 7 6 6 6 5 5 5 5 5 5 5 5 5 3 6 6 3 5 4 4 4 6 3 3 6 6 5 6 6 4 6 3 6 3 3 5 4 4 6 6 3 6 3 3 5 4 4 4 4 6 6 6 6 5 6 4 6 6 Output: 3 7 7 3 3 7 7 7 7 7 7 3 7 7 7 7 7 4 9 9 Example 2: Input: 9 9 9 6 5 7 7 6 6 9 6 9 9 5 7 6 6 7 6 9 6 6 5 6 6 7 7 9 6 9 9 5 7 6 7 7 6 9 6 6 5 6 6 7 6 5 5 5 5 5 5 5 5 5 3 6 3 3 5 4 6 4 6 3 6 6 3 5 4 4 4 6 6 6 6 6 5 4 6 6 6 6 3 3 6 5 4 4 4 6 3 6 3 3 5 6 4 4 4 Output: 7 7 3 3 7 4 4 7 4 9 7 7 7 3 7 7 3 4 7 3 Example 3: Input: 6 6 9 6 5 6 7 7 6 6 6 9 9 5 7 6 6 6 9 9 9 9 5 6 6 7 7 6 9 6 9 5 6 6 6 7 6 6 9 9 5 7 7 7 6 5 5 5 5 5 5 5 5 5 3 6 3 3 5 4 6 6 4 3 6 3 3 5 6 6 6 4 6 3 3 6 5 4 4 6 4 6 6 6 6 5 6 4 6 4 6 3 3 6 5 6 6 6 6 Output: 3 7 7 3 7 6 3 3 4 3 7 7 6 4 6 7 7 7 7 9 Example 4: Input: 6 9 9 6 5 7 7 6 6 6 6 9 9 5 6 7 6 6 9 6 9 9 5 6 6 6 7 9 9 9 6 5 6 7 6 6 6 9 6 9 5 6 6 6 7 5 5 5 5 5 5 5 5 5 3 3 6 3 5 4 6 6 4 6 3 6 3 5 4 4 4 4 3 3 3 3 5 6 6 4 6 3 3 3 3 5 6 4 6 4 3 3 3 6 5 4 6 6 6 Output: 7 7 9 3 4 7 4 3 3 3 3 7 3 7 3 3 3 3 3 7 Example 5: Input: 6 6 6 6 5 6 6 7 7 6 6 6 9 5 6 7 6 6 9 6 6 9 5 7 6 6 7 9 6 6 9 5 6 6 7 7 9 6 9 6 5 6 6 6 6 5 5 5 5 5 5 5 5 5 3 6 3 3 5 4 6 6 6 6 6 3 6 5 6 6 6 6 6 6 6 6 5 6 4 4 6 3 3 6 6 5 4 4 6 4 3 6 6 6 5 6 6 4 6 Output: 3 6 7 7 6 7 3 9 7 4 4 7 3 3 7 7 3 6 4 6 Example 6: Input: 9 6 6 6 5 6 6 7 6 9 6 9 9 5 6 7 7 6 9 6 9 9 5 6 7 6 7 9 9 6 9 5 7 6 7 7 6 9 9 6 5 7 7 6 6 5 5 5 5 5 5 5 5 5 6 6 3 3 5 6 6 4 4 6 3 3 3 5 6 6 6 6 6 6 6 6 5 4 6 4 4 3 3 6 6 5 4 6 6 6 6 3 6 6 5 4 6 4 6 Output: 9 6 7 3 9 7 7 3 4 7 4 7 7 3 7 7 7 7 4 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 9 9 5 7 7 7 6 6 6 6 9 5 7 7 7 6 6 6 9 6 5 7 6 7 7 6 6 9 6 5 7 7 6 6 9 9 6 9 5 7 7 6 7 5 5 5 5 5 5 5 5 5 3 6 6 6 5 4 4 6 4 3 3 6 6 5 4 6 4 4 6 3 3 6 5 4 4 4 4 3 6 6 6 5 6 4 6 4 3 3 6 6 5 6 4 4 6	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 7 7 4\n7 7 7 4\n7 3 7 7\n7 7 9 4\n7 7 4 7", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n9 9 9 6 5 6 7 7 6\n9 9 6 6 5 6 7 7 7\n9 6 6 9 5 7 7 7 6\n9 9 9 9 5 7 7 7 7\n6 9 9 9 5 7 6 6 6\n5 5 5 5 5 5 5 5 5\n3 6 6 3 5 4 4 4 6\n3 3 6 6 5 6 6 4 6\n3 6 3 3 5 4 4 6 6\n3 6 3 3 5 4 4 4 4\n6 6 6 6 5 6 4 6 6\nOutput:\n3 7 7 3\n3 7 7 7\n7 7 7 3\n7 7 7 7\n7 4 9 9\n\nExample 2:\n\nInput:\n9 9 9 6 5 7 7 6 6\n9 6 9 9 5 7 6 6 7\n6 9 6 6 5 6 6 7 7\n9 6 9 9 5 7 6 7 7\n6 9 6 6 5 6 6 7 6\n5 5 5 5 5 5 5 5 5\n3 6 3 3 5 4 6 4 6\n3 6 6 3 5 4 4 4 6\n6 6 6 6 5 4 6 6 6\n6 3 3 6 5 4 4 4 6\n3 6 3 3 5 6 4 4 4\nOutput:\n7 7 3 3\n7 4 4 7\n4 9 7 7\n7 3 7 7\n3 4 7 3\n\nExample 3:\n\nInput:\n6 6 9 6 5 6 7 7 6\n6 6 9 9 5 7 6 6 6\n9 9 9 9 5 6 6 7 7\n6 9 6 9 5 6 6 6 7\n6 6 9 9 5 7 7 7 6\n5 5 5 5 5 5 5 5 5\n3 6 3 3 5 4 6 6 4\n3 6 3 3 5 6 6 6 4\n6 3 3 6 5 4 4 6 4\n6 6 6 6 5 6 4 6 4\n6 3 3 6 5 6 6 6 6\nOutput:\n3 7 7 3\n7 6 3 3\n4 3 7 7\n6 4 6 7\n7 7 7 9\n\nExample 4:\n\nInput:\n6 9 9 6 5 7 7 6 6\n6 6 9 9 5 6 7 6 6\n9 6 9 9 5 6 6 6 7\n9 9 9 6 5 6 7 6 6\n6 9 6 9 5 6 6 6 7\n5 5 5 5 5 5 5 5 5\n3 3 6 3 5 4 6 6 4\n6 3 6 3 5 4 4 4 4\n3 3 3 3 5 6 6 4 6\n3 3 3 3 5 6 4 6 4\n3 3 3 6 5 4 6 6 6\nOutput:\n7 7 9 3\n4 7 4 3\n3 3 3 7\n3 7 3 3\n3 3 3 7\n\nExample 5:\n\nInput:\n6 6 6 6 5 6 6 7 7\n6 6 6 9 5 6 7 6 6\n9 6 6 9 5 7 6 6 7\n9 6 6 9 5 6 6 7 7\n9 6 9 6 5 6 6 6 6\n5 5 5 5 5 5 5 5 5\n3 6 3 3 5 4 6 6 6\n6 6 3 6 5 6 6 6 6\n6 6 6 6 5 6 4 4 6\n3 3 6 6 5 4 4 6 4\n3 6 6 6 5 6 6 4 6\nOutput:\n3 6 7 7\n6 7 3 9\n7 4 4 7\n3 3 7 7\n3 6 4 6\n\nExample 6:\n\nInput:\n9 6 6 6 5 6 6 7 6\n9 6 9 9 5 6 7 7 6\n9 6 9 9 5 6 7 6 7\n9 9 6 9 5 7 6 7 7\n6 9 9 6 5 7 7 6 6\n5 5 5 5 5 5 5 5 5\n6 6 3 3 5 6 6 4 4\n6 3 3 3 5 6 6 6 6\n6 6 6 6 5 4 6 4 4\n3 3 6 6 5 4 6 6 6\n6 3 6 6 5 4 6 4 6\nOutput:\n9 6 7 3\n9 7 7 3\n4 7 4 7\n7 3 7 7\n7 7 4 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 9 9 5 7 7 7 6\n6 6 6 9 5 7 7 7 6\n6 6 9 6 5 7 6 7 7\n6 6 9 6 5 7 7 6 6\n9 9 6 9 5 7 7 6 7\n5 5 5 5 5 5 5 5 5\n3 6 6 6 5 4 4 6 4\n3 3 6 6 5 4 6 4 4\n6 3 3 6 5 4 4 4 4\n3 6 6 6 5 6 4 6 4\n3 3 6 6 5 6 4 4 6\n", "answer": "7 7 7 4\n7 7 7 4\n7 3 7 7\n7 7 9 4\n7 7 4 7", "metadata": {"source_dataset": "arc_agi", "source_index": 77, "input": [[6, 6, 9, 9, 5, 7, 7, 7, 6], [6, 6, 6, 9, 5, 7, 7, 7, 6], [6, 6, 9, 6, 5, 7, 6, 7, 7], [6, 6, 9, 6, 5, 7, 7, 6, 6], [9, 9, 6, 9, 5, 7, 7, 6, 7], [5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 6, 6, 6, 5, 4, 4, 6, 4], [3, 3, 6, 6, 5, 4, 6, 4, 4], [6, 3, 3, 6, 5, 4, 4, 4, 4], [3, 6, 6, 6, 5, 6, 4, 6, 4], [3, 3, 6, 6, 5, 6, 4, 4, 6]], "output": [[7, 7, 7, 4], [7, 7, 7, 4], [7, 3, 7, 7], [7, 7, 9, 4], [7, 7, 4, 7]], "task_id": "e99362f0", "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": 77, "input": [[6, 6, 9, 9, 5, 7, 7, 7, 6], [6, 6, 6, 9, 5, 7, 7, 7, 6], [6, 6, 9, 6, 5, 7, 6, 7, 7], [6, 6, 9, 6, 5, 7, 7, 6, 6], [9, 9, 6, 9, 5, 7, 7, 6, 7], [5, 5, 5, 5, 5, 5, 5, 5, 5], [3, 6, 6, 6, 5, 4, 4, 6, 4], [3, 3, 6, 6, 5, 4, 6, 4, 4], [6, 3, 3, 6, 5, 4, 4, 4, 4], [3, 6, 6, 6, 5, 6, 4, 6, 4], [3, 3, 6, 6, 5, 6, 4, 4, 6]], "output": [[7, 7, 7, 4], [7, 7, 7, 4], [7, 3, 7, 7], [7, 7, 9, 4], [7, 7, 4, 7]], "task_id": "e99362f0", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 2 1 2 2 2 1 8 1 1 2 8 1 8 8 2 1 1 8 1 1 8 8 2 1 2 2 1 2 2 2 8 2 2 8 1 1 8 1 8 2 2 1 1 8 8 1 1 8 2 8 1 2 2 2 8 2 8 8 2 1 8 2 1 1 0 0 0 0 0 0 0 8 2 1 5 5 5 5 8 2 2 1 6 6 6 6 6 2 2 1 2 8 2 8 0 0 0 0 0 0 0 1 2 2 5 5 5 5 2 2 1 2 6 6 6 6 6 2 1 2 8 2 8 2 0 0 0 0 0 0 0 1 1 2 5 5 5 5 1 1 2 1 6 6 6 6 6 8 2 8 2 2 2 8 0 0 0 0 0 0 0 1 2 2 5 5 5 5 2 2 1 1 6 6 6 6 6 2 2 1 2 2 2 1 8 8 8 1 1 2 2 2 1 8 2 8 1 2 1 2 8 2 8 1 2 1 2 8 8 1 2 2 1 1 8 8 2 2 1 2 8 2 8 2 2 2 1 1 2 2 1 2 2 2 1 2 1 2 2 2 2 1 2 1 2 2 2 2 1 2 1 2 1 2 8 1 2 2 2 8 1 2 8 1 2 2 8 1 2 2 2 1 2 1 2 2 1 2 2 2 1 8 1 2 2 1 2 2 1 2 1 2 2 2 1 2 8 2 8 2 2 1 1 1 7 7 7 7 7 1 1 1 6 6 6 6 6 6 6 2 2 3 3 3 3 3 2 2 8 2 2 2 2 1 7 7 7 7 7 2 8 2 6 6 6 6 6 6 6 1 2 3 3 3 3 3 1 8 8 8 2 2 8 1 7 7 7 7 7 8 1 2 6 6 6 6 6 6 6 2 1 3 3 3 3 3 2 1 8 1 1 8 2 1 7 7 7 7 7 1 2 2 6 6 6 6 6 6 6 1 8 3 3 3 3 3 2 2 2 2 2 2 2 1 2 2 8 2 1 1 1 2 6 6 6 6 6 6 6 2 2 3 3 3 3 3 1 2 1 1 2 2 1 2 2 8 2 1 2 1 2 8 8 2 2 1 2 8 1 1 1 1 2 8 1 2 2 1 1 2 2 2 8 1 2 2 1 2 8 2 2 2 2 8 2 2 2 1 1 2 2 2 2 8 8 2 1 2 2 8 2 1 1 2 0 0 0 0 0 2 1 2 8 5 5 5 5 5 1 2 2 1 2 2 8 2 2 2 1 2 2 2 1 2 0 0 0 0 0 1 1 8 2 5 5 5 5 5 2 1 8 2 7 7 7 7 7 1 2 1 1 1 2 2 0 0 0 0 0 8 2 2 2 5 5 5 5 5 2 2 8 8 7 7 7 7 7 8 2 2 1 8 8 2 0 0 0 0 0 2 8 2 8 5 5 5 5 5 2 8 2 1 7 7 7 7 7 2 2 2 1 2 2 2 0 0 0 0 0 2 2 2 8 1 8 2 2 1 8 2 1 1 7 7 7 7 7 2 2 2 2 8 1 8 8 1 1 2 1 2 2 1 8 2 8 2 2 8 2 2 2 2 7 7 7 7 7 2 2 2 1 2 2 2 1 8 2 2 8 8 1 2 1 1 2 2 8 8 2 2 2 8 2 1 2 8 2 2 1 8 2 2 8 2 2 2 2 1 2 8 8 2 1 8 2 2 2 1 2 1 2 2 8 2 2 2 2 2 2 8 2 1 2 1 2 8 1 8 2 8 1 2 2 2 2 2 2 8 1 1 8 1 2 2 2 2 2 8 8 2 2 2 2 8 8 2 1 1 1 2 2 1 2 1 2 2 8 1 2 1 1 2 2 2 2 2 2 1 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 1 1 2 1 1 2 2 2 2 8 1 1 1 2 2 2 8 1 1 1 2 2 2 2 1 2 8 8 2 2 2 8 2 1 2 8 2 2 2 8 2 1 2 1 1 1 8 8 2 2 1 1 8 1 1 2 2 2 2 1 8 2 1 2 8 2 2 8 8 8 2 2 1 2 2 2 8 Output: 0 5 6 7 6 3 0 5 7 Example 2: Input: 7 2 2 2 9 7 7 2 7 9 7 2 9 2 2 7 2 7 2 2 2 2 7 9 2 7 7 9 9 9 2 2 2 2 9 7 2 2 2 7 7 2 7 2 2 7 7 7 7 2 9 9 2 2 7 7 7 7 9 2 7 7 7 2 2 7 7 9 7 2 7 2 5 5 5 5 5 5 7 7 2 2 7 2 7 2 2 2 7 9 2 7 9 2 2 2 2 7 2 2 7 7 5 5 5 5 5 5 2 9 2 2 0 0 0 0 7 2 7 2 2 2 7 7 2 9 2 9 2 2 2 9 5 5 5 5 5 5 9 2 7 7 0 0 0 0 2 7 9 2 7 7 2 0 0 0 0 0 0 7 2 2 5 5 5 5 5 5 7 2 2 2 0 0 0 0 7 2 9 2 7 2 9 0 0 0 0 0 0 2 2 9 5 5 5 5 5 5 2 2 7 9 0 0 0 0 7 2 7 2 9 2 2 0 0 0 0 0 0 2 2 2 2 2 2 9 9 2 9 2 2 7 2 7 9 7 2 2 9 7 2 9 7 7 2 7 9 7 2 7 2 9 7 2 2 2 9 9 7 2 7 7 2 2 2 2 2 9 2 7 7 7 2 9 9 2 2 9 2 2 2 2 3 3 3 3 7 7 7 2 7 2 6 6 6 6 6 2 7 2 2 7 2 2 6 6 6 7 9 7 2 2 3 3 3 3 2 7 2 9 2 2 6 6 6 6 6 7 7 9 7 2 7 7 6 6 6 7 2 2 7 2 3 3 3 3 2 2 9 2 2 2 6 6 6 6 6 2 7 2 2 7 7 2 6 6 6 9 2 7 2 9 7 7 2 2 2 7 9 7 7 7 6 6 6 6 6 2 2 9 2 2 2 7 2 9 9 9 2 9 9 7 9 9 2 2 7 2 7 2 2 9 2 2 2 2 9 2 9 2 2 7 2 7 2 9 7 2 7 9 7 9 2 2 7 2 2 2 2 2 2 9 9 9 9 2 9 9 7 2 7 2 9 2 7 9 2 2 2 2 9 9 7 7 7 9 2 7 9 7 5 5 5 5 5 9 2 7 2 2 9 2 2 2 9 2 9 2 2 9 2 2 9 2 2 2 7 2 2 9 5 5 5 5 5 2 7 2 2 2 9 2 9 1 1 1 1 1 9 9 7 9 0 0 0 0 2 9 2 9 5 5 5 5 5 2 2 2 2 7 2 2 7 1 1 1 1 1 7 2 7 2 0 0 0 0 7 9 9 7 5 5 5 5 5 7 2 9 9 2 2 7 2 1 1 1 1 1 2 7 2 7 0 0 0 0 2 9 7 2 5 5 5 5 5 2 7 7 7 7 7 2 2 1 1 1 1 1 2 2 7 2 0 0 0 0 2 9 2 2 7 7 2 2 7 7 7 7 2 2 9 7 9 2 9 2 9 9 7 9 9 9 7 2 2 7 2 2 7 2 7 7 2 2 2 7 2 7 7 2 9 2 9 2 2 7 2 2 9 7 7 9 9 7 2 9 7 2 2 2 7 2 2 2 2 2 2 2 2 7 7 2 2 2 7 9 7 7 7 7 2 2 9 7 2 7 7 7 9 7 9 2 9 7 7 7 7 2 2 2 7 2 2 2 7 9 9 7 7 2 7 2 2 9 2 2 7 2 2 2 2 2 2 2 2 9 2 9 7 7 2 2 7 7 7 2 7 2 2 7 7 2 2 2 2 2 2 2 2 2 9 9 9 7 7 7 2 2 2 2 2 2 9 2 7 2 7 2 2 2 2 7 2 7 7 7 2 2 7 7 2 9 9 2 7 2 7 7 2 7 2 2 2 9 2 7 9 7 7 7 7 2 9 9 2 2 2 2 2 2 9 2 7 2 2 2 2 9 2 7 7 2 7 9 2 9 2 2 2 2 9 7 2 2 2 2 9 2 7 7 2 7 7 7 2 2 2 7 2 2 7 2 2 2 2 9 9 2 7 2 9 2 9 2 7 7 7 2 2 7 2 2 9 2 7 2 9 9 9 7 Output: 0 5 0 6 3 6 1 0 5 Example 3: Input: 2 1 2 2 2 1 2 0 2 2 2 1 2 1 2 1 2 2 1 0 2 2 1 2 0 2 2 2 2 2 2 2 2 6 6 6 6 6 6 2 2 2 7 7 7 7 7 7 7 7 1 0 0 1 2 2 2 2 2 2 0 2 1 6 6 6 6 6 6 2 2 1 7 7 7 7 7 7 7 7 2 2 2 9 9 9 9 9 2 2 0 2 0 6 6 6 6 6 6 1 1 1 7 7 7 7 7 7 7 7 0 2 0 9 9 9 9 9 0 0 1 0 2 6 6 6 6 6 6 0 0 2 7 7 7 7 7 7 7 7 2 2 1 9 9 9 9 9 2 2 0 2 2 6 6 6 6 6 6 2 2 1 1 1 0 0 0 0 2 1 0 1 2 9 9 9 9 9 2 2 2 2 2 0 2 2 0 2 2 1 0 1 2 2 1 2 2 2 2 2 2 0 2 9 9 9 9 9 0 0 2 0 0 0 2 2 1 2 0 2 2 2 1 0 0 2 2 2 0 2 1 2 1 2 0 2 2 0 0 2 2 2 2 2 2 2 2 2 2 1 1 1 2 2 1 0 0 1 2 2 1 2 2 1 2 2 0 1 0 2 0 2 2 2 2 2 0 1 0 1 0 2 2 2 2 2 2 1 0 1 2 2 2 2 2 0 2 2 2 2 2 2 1 4 4 4 4 2 0 2 2 5 5 5 5 5 5 1 2 2 2 0 2 2 1 2 2 2 1 2 0 2 0 4 4 4 4 2 0 2 0 5 5 5 5 5 5 1 2 1 1 1 2 7 7 7 7 7 0 2 2 1 2 4 4 4 4 0 2 1 1 5 5 5 5 5 5 0 2 0 2 2 2 7 7 7 7 7 2 1 2 1 0 4 4 4 4 0 2 0 2 5 5 5 5 5 5 2 0 1 1 2 1 7 7 7 7 7 2 0 2 2 1 4 4 4 4 2 2 2 1 5 5 5 5 5 5 2 2 0 2 0 0 7 7 7 7 7 0 2 2 2 2 4 4 4 4 2 2 1 0 2 0 0 1 0 2 0 2 2 2 2 2 7 7 7 7 7 2 1 1 0 2 4 4 4 4 2 1 2 2 2 2 1 0 2 2 2 1 0 2 2 1 2 2 2 2 2 2 2 2 2 0 2 1 2 2 2 2 2 0 2 2 2 1 0 2 2 2 2 2 2 2 2 0 1 2 2 2 1 2 2 1 2 0 2 2 2 1 0 2 0 2 2 2 0 2 0 0 0 2 0 2 2 0 2 1 1 2 1 0 2 2 2 2 2 0 0 1 1 0 2 0 1 1 0 2 2 2 2 0 2 1 2 0 2 2 2 0 1 1 1 2 2 2 2 1 0 2 0 2 2 1 1 0 2 2 1 2 2 2 1 1 1 2 2 2 1 1 0 2 0 0 2 2 0 0 2 0 2 0 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 0 1 2 2 2 2 1 0 1 2 1 2 2 0 2 2 2 1 2 0 2 2 2 1 0 0 2 0 2 1 2 2 2 0 1 2 2 2 2 2 2 2 0 0 2 1 2 0 2 2 2 2 2 2 1 1 2 2 1 2 2 0 0 2 0 1 2 2 2 0 2 0 2 0 1 2 2 2 0 2 2 0 2 1 2 2 0 2 1 1 0 2 2 2 2 0 2 1 1 0 1 0 2 1 1 2 2 2 1 1 1 1 1 1 2 2 2 0 2 0 2 2 0 1 2 2 1 0 1 0 2 2 2 2 2 2 2 2 0 2 2 1 2 1 1 2 2 0 2 1 2 2 0 0 2 2 2 2 0 2 2 2 0 2 1 0 2 2 2 2 2 2 2 2 2 2 1 0 1 0 2 2 0 2 0 1 2 1 0 0 2 2 2 1 2 2 2 0 0 2 0 2 2 2 0 1 0 0 2 1 0 1 1 1 1 2 0 0 2 2 2 0 2 2 0 2 0 2 2 2 0 2 1 2 2 0 2 0 2 2 1 0 2 2 Output: 6 7 9 4 5 7 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 8 8 2 2 2 0 8 2 2 0 0 0 2 0 2 2 8 8 2 8 2 8 0 2 2 2 2 2 2 0 0 0 8 8 2 0 2 2 8 0 2 2 8 0 2 0 2 0 2 0 2 2 8 2 0 0 2 2 2 2 2 8 8 8 2 8 0 2 8 0 2 2 2 8 2 8 0 0 8 0 8 2 8 2 2 2 2 2 8 8 2 2 2 8 8 8 0 0 2 2 2 8 0 6 6 6 6 6 8 2 0 2 0 0 2 0 0 2 2 8 2 8 2 8 1 1 1 1 1 1 2 8 0 6 6 6 6 6 0 0 0 6 6 6 6 6 6 2 2 8 0 0 2 2 1 1 1 1 1 1 2 2 2 6 6 6 6 6 8 0 2 6 6 6 6 6 6 2 0 2 0 8 2 2 1 1 1 1 1 1 2 2 0 6 6 6 6 6 2 2 2 6 6 6 6 6 6 8 2 2 8 2 0 0 1 1 1 1 1 1 0 2 2 6 6 6 6 6 2 2 2 2 8 8 2 2 2 2 2 8 2 2 2 8 2 0 2 8 8 2 2 2 2 2 2 8 8 8 2 2 2 2 2 2 2 2 2 0 0 2 2 2 8 2 8 8 2 0 2 0 0 2 2 8 0 2 2 2 2 8 2 2 7 7 7 7 7 8 8 8 0 2 0 5 5 5 5 5 8 2 8 0 3 3 3 3 3 2 2 0 8 2 7 7 7 7 7 2 8 2 0 8 2 5 5 5 5 5 2 2 2 2 3 3 3 3 3 2 2 8 2 2 7 7 7 7 7 2 8 2 2 0 2 5 5 5 5 5 2 2 2 2 3 3 3 3 3 8 2 2 8 0 7 7 7 7 7 8 8 2 2 0 8 5 5 5 5 5 2 2 2 2 3 3 3 3 3 2 0 2 0 2 7 7 7 7 7 8 8 2 2 8 0 5 5 5 5 5 2 2 0 2 0 2 2 2 2 2 8 2 2 2 8 2 2 2 8 2 8 0 0 0 2 2 2 2 0 2 0 2 2 2 2 2 2 8 2 2 8 8 0 2 8 2 8 0 2 2 2 8 2 0 2 8 2 2 2 8 8 0 8 8 6 6 6 6 6 6 6 0 2 8 2 3 3 3 3 8 2 8 2 2 8 8 2 8 7 7 7 7 2 2 6 6 6 6 6 6 6 2 0 0 0 3 3 3 3 0 2 0 2 2 2 2 2 2 7 7 7 7 8 0 6 6 6 6 6 6 6 0 8 2 0 3 3 3 3 2 8 8 2 8 2 0 2 8 7 7 7 7 8 2 6 6 6 6 6 6 6 8 2 8 2 3 3 3 3 8 2 2 2 2 8 2 2 0 7 7 7 7 2 2 8 0 2 2 8 0 0 2 2 0 2 3 3 3 3 0 2 2 8 2 8 0 2 2 0 2 8 2 2 2 2 2 8 0 2 2 8 0 2 2 8 2 0 0 0 2 2 8 2 8 2 8 8 5 5 5 8 2 8 2 4 4 4 4 4 4 2 2 1 1 1 1 1 1 2 2 8 8 2 0 2 8 8 5 5 5 2 0 8 2 4 4 4 4 4 4 2 2 1 1 1 1 1 1 8 2 0 8 0 2 2 2 2 5 5 5 8 2 0 2 4 4 4 4 4 4 2 2 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 5 5 5 8 8 2 0 4 4 4 4 4 4 8 2 1 1 1 1 1 1 2 2 0 2 8 8 2 2 2 8 8 0 8 0 2 2 4 4 4 4 4 4 0 8 0 2 2 0 8 2 0 8 2 2 2 8 0 8 2 0 8 8 8 2 0 0 2 2 8 2 0 8 8 2 2 2 8 0 2 2 2 2 0 8 2 2 2 2 0 2 2 8 0 0 0 8 2 2 2 8 2 8 2 2 2 8 2 0 2 8 8 2 2 0 0 2 8 2 2 2 2 2 8 0 0 0 2 2 8 8 8 8 0 8 2 2 8 0 8 0 8 8 2 8	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 6 6\n5 3 7\n7 6 3\n5 4 1", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n2 1 2 2 2 1 8 1 1 2 8 1 8 8 2 1 1 8 1 1 8 8 2 1 2 2 1 2 2 2\n8 2 2 8 1 1 8 1 8 2 2 1 1 8 8 1 1 8 2 8 1 2 2 2 8 2 8 8 2 1\n8 2 1 1 0 0 0 0 0 0 0 8 2 1 5 5 5 5 8 2 2 1 6 6 6 6 6 2 2 1\n2 8 2 8 0 0 0 0 0 0 0 1 2 2 5 5 5 5 2 2 1 2 6 6 6 6 6 2 1 2\n8 2 8 2 0 0 0 0 0 0 0 1 1 2 5 5 5 5 1 1 2 1 6 6 6 6 6 8 2 8\n2 2 2 8 0 0 0 0 0 0 0 1 2 2 5 5 5 5 2 2 1 1 6 6 6 6 6 2 2 1\n2 2 2 1 8 8 8 1 1 2 2 2 1 8 2 8 1 2 1 2 8 2 8 1 2 1 2 8 8 1\n2 2 1 1 8 8 2 2 1 2 8 2 8 2 2 2 1 1 2 2 1 2 2 2 1 2 1 2 2 2\n2 1 2 1 2 2 2 2 1 2 1 2 1 2 8 1 2 2 2 8 1 2 8 1 2 2 8 1 2 2\n2 1 2 1 2 2 1 2 2 2 1 8 1 2 2 1 2 2 1 2 1 2 2 2 1 2 8 2 8 2\n2 1 1 1 7 7 7 7 7 1 1 1 6 6 6 6 6 6 6 2 2 3 3 3 3 3 2 2 8 2\n2 2 2 1 7 7 7 7 7 2 8 2 6 6 6 6 6 6 6 1 2 3 3 3 3 3 1 8 8 8\n2 2 8 1 7 7 7 7 7 8 1 2 6 6 6 6 6 6 6 2 1 3 3 3 3 3 2 1 8 1\n1 8 2 1 7 7 7 7 7 1 2 2 6 6 6 6 6 6 6 1 8 3 3 3 3 3 2 2 2 2\n2 2 2 1 2 2 8 2 1 1 1 2 6 6 6 6 6 6 6 2 2 3 3 3 3 3 1 2 1 1\n2 2 1 2 2 8 2 1 2 1 2 8 8 2 2 1 2 8 1 1 1 1 2 8 1 2 2 1 1 2\n2 2 8 1 2 2 1 2 8 2 2 2 2 8 2 2 2 1 1 2 2 2 2 8 8 2 1 2 2 8\n2 1 1 2 0 0 0 0 0 2 1 2 8 5 5 5 5 5 1 2 2 1 2 2 8 2 2 2 1 2\n2 2 1 2 0 0 0 0 0 1 1 8 2 5 5 5 5 5 2 1 8 2 7 7 7 7 7 1 2 1\n1 1 2 2 0 0 0 0 0 8 2 2 2 5 5 5 5 5 2 2 8 8 7 7 7 7 7 8 2 2\n1 8 8 2 0 0 0 0 0 2 8 2 8 5 5 5 5 5 2 8 2 1 7 7 7 7 7 2 2 2\n1 2 2 2 0 0 0 0 0 2 2 2 8 1 8 2 2 1 8 2 1 1 7 7 7 7 7 2 2 2\n2 8 1 8 8 1 1 2 1 2 2 1 8 2 8 2 2 8 2 2 2 2 7 7 7 7 7 2 2 2\n1 2 2 2 1 8 2 2 8 8 1 2 1 1 2 2 8 8 2 2 2 8 2 1 2 8 2 2 1 8\n2 2 8 2 2 2 2 1 2 8 8 2 1 8 2 2 2 1 2 1 2 2 8 2 2 2 2 2 2 8\n2 1 2 1 2 8 1 8 2 8 1 2 2 2 2 2 2 8 1 1 8 1 2 2 2 2 2 8 8 2\n2 2 2 8 8 2 1 1 1 2 2 1 2 1 2 2 8 1 2 1 1 2 2 2 2 2 2 1 2 2\n2 2 2 1 2 2 2 2 2 2 2 2 2 1 1 2 1 1 2 2 2 2 8 1 1 1 2 2 2 8\n1 1 1 2 2 2 2 1 2 8 8 2 2 2 8 2 1 2 8 2 2 2 8 2 1 2 1 1 1 8\n8 2 2 1 1 8 1 1 2 2 2 2 1 8 2 1 2 8 2 2 8 8 8 2 2 1 2 2 2 8\nOutput:\n0 5 6\n7 6 3\n0 5 7\n\nExample 2:\n\nInput:\n7 2 2 2 9 7 7 2 7 9 7 2 9 2 2 7 2 7 2 2 2 2 7 9 2 7 7 9 9 9\n2 2 2 2 9 7 2 2 2 7 7 2 7 2 2 7 7 7 7 2 9 9 2 2 7 7 7 7 9 2\n7 7 7 2 2 7 7 9 7 2 7 2 5 5 5 5 5 5 7 7 2 2 7 2 7 2 2 2 7 9\n2 7 9 2 2 2 2 7 2 2 7 7 5 5 5 5 5 5 2 9 2 2 0 0 0 0 7 2 7 2\n2 2 7 7 2 9 2 9 2 2 2 9 5 5 5 5 5 5 9 2 7 7 0 0 0 0 2 7 9 2\n7 7 2 0 0 0 0 0 0 7 2 2 5 5 5 5 5 5 7 2 2 2 0 0 0 0 7 2 9 2\n7 2 9 0 0 0 0 0 0 2 2 9 5 5 5 5 5 5 2 2 7 9 0 0 0 0 7 2 7 2\n9 2 2 0 0 0 0 0 0 2 2 2 2 2 2 9 9 2 9 2 2 7 2 7 9 7 2 2 9 7\n2 9 7 7 2 7 9 7 2 7 2 9 7 2 2 2 9 9 7 2 7 7 2 2 2 2 2 9 2 7\n7 7 2 9 9 2 2 9 2 2 2 2 3 3 3 3 7 7 7 2 7 2 6 6 6 6 6 2 7 2\n2 7 2 2 6 6 6 7 9 7 2 2 3 3 3 3 2 7 2 9 2 2 6 6 6 6 6 7 7 9\n7 2 7 7 6 6 6 7 2 2 7 2 3 3 3 3 2 2 9 2 2 2 6 6 6 6 6 2 7 2\n2 7 7 2 6 6 6 9 2 7 2 9 7 7 2 2 2 7 9 7 7 7 6 6 6 6 6 2 2 9\n2 2 2 7 2 9 9 9 2 9 9 7 9 9 2 2 7 2 7 2 2 9 2 2 2 2 9 2 9 2\n2 7 2 7 2 9 7 2 7 9 7 9 2 2 7 2 2 2 2 2 2 9 9 9 9 2 9 9 7 2\n7 2 9 2 7 9 2 2 2 2 9 9 7 7 7 9 2 7 9 7 5 5 5 5 5 9 2 7 2 2\n9 2 2 2 9 2 9 2 2 9 2 2 9 2 2 2 7 2 2 9 5 5 5 5 5 2 7 2 2 2\n9 2 9 1 1 1 1 1 9 9 7 9 0 0 0 0 2 9 2 9 5 5 5 5 5 2 2 2 2 7\n2 2 7 1 1 1 1 1 7 2 7 2 0 0 0 0 7 9 9 7 5 5 5 5 5 7 2 9 9 2\n2 7 2 1 1 1 1 1 2 7 2 7 0 0 0 0 2 9 7 2 5 5 5 5 5 2 7 7 7 7\n7 2 2 1 1 1 1 1 2 2 7 2 0 0 0 0 2 9 2 2 7 7 2 2 7 7 7 7 2 2\n9 7 9 2 9 2 9 9 7 9 9 9 7 2 2 7 2 2 7 2 7 7 2 2 2 7 2 7 7 2\n9 2 9 2 2 7 2 2 9 7 7 9 9 7 2 9 7 2 2 2 7 2 2 2 2 2 2 2 2 7\n7 2 2 2 7 9 7 7 7 7 2 2 9 7 2 7 7 7 9 7 9 2 9 7 7 7 7 2 2 2\n7 2 2 2 7 9 9 7 7 2 7 2 2 9 2 2 7 2 2 2 2 2 2 2 2 9 2 9 7 7\n2 2 7 7 7 2 7 2 2 7 7 2 2 2 2 2 2 2 2 2 9 9 9 7 7 7 2 2 2 2\n2 2 9 2 7 2 7 2 2 2 2 7 2 7 7 7 2 2 7 7 2 9 9 2 7 2 7 7 2 7\n2 2 2 9 2 7 9 7 7 7 7 2 9 9 2 2 2 2 2 2 9 2 7 2 2 2 2 9 2 7\n7 2 7 9 2 9 2 2 2 2 9 7 2 2 2 2 9 2 7 7 2 7 7 7 2 2 2 7 2 2\n7 2 2 2 2 9 9 2 7 2 9 2 9 2 7 7 7 2 2 7 2 2 9 2 7 2 9 9 9 7\nOutput:\n0 5 0\n6 3 6\n1 0 5\n\nExample 3:\n\nInput:\n2 1 2 2 2 1 2 0 2 2 2 1 2 1 2 1 2 2 1 0 2 2 1 2 0 2 2 2 2 2\n2 2 2 6 6 6 6 6 6 2 2 2 7 7 7 7 7 7 7 7 1 0 0 1 2 2 2 2 2 2\n0 2 1 6 6 6 6 6 6 2 2 1 7 7 7 7 7 7 7 7 2 2 2 9 9 9 9 9 2 2\n0 2 0 6 6 6 6 6 6 1 1 1 7 7 7 7 7 7 7 7 0 2 0 9 9 9 9 9 0 0\n1 0 2 6 6 6 6 6 6 0 0 2 7 7 7 7 7 7 7 7 2 2 1 9 9 9 9 9 2 2\n0 2 2 6 6 6 6 6 6 2 2 1 1 1 0 0 0 0 2 1 0 1 2 9 9 9 9 9 2 2\n2 2 2 0 2 2 0 2 2 1 0 1 2 2 1 2 2 2 2 2 2 0 2 9 9 9 9 9 0 0\n2 0 0 0 2 2 1 2 0 2 2 2 1 0 0 2 2 2 0 2 1 2 1 2 0 2 2 0 0 2\n2 2 2 2 2 2 2 2 2 1 1 1 2 2 1 0 0 1 2 2 1 2 2 1 2 2 0 1 0 2\n0 2 2 2 2 2 0 1 0 1 0 2 2 2 2 2 2 1 0 1 2 2 2 2 2 0 2 2 2 2\n2 2 1 4 4 4 4 2 0 2 2 5 5 5 5 5 5 1 2 2 2 0 2 2 1 2 2 2 1 2\n0 2 0 4 4 4 4 2 0 2 0 5 5 5 5 5 5 1 2 1 1 1 2 7 7 7 7 7 0 2\n2 1 2 4 4 4 4 0 2 1 1 5 5 5 5 5 5 0 2 0 2 2 2 7 7 7 7 7 2 1\n2 1 0 4 4 4 4 0 2 0 2 5 5 5 5 5 5 2 0 1 1 2 1 7 7 7 7 7 2 0\n2 2 1 4 4 4 4 2 2 2 1 5 5 5 5 5 5 2 2 0 2 0 0 7 7 7 7 7 0 2\n2 2 2 4 4 4 4 2 2 1 0 2 0 0 1 0 2 0 2 2 2 2 2 7 7 7 7 7 2 1\n1 0 2 4 4 4 4 2 1 2 2 2 2 1 0 2 2 2 1 0 2 2 1 2 2 2 2 2 2 2\n2 2 0 2 1 2 2 2 2 2 0 2 2 2 1 0 2 2 2 2 2 2 2 2 0 1 2 2 2 1\n2 2 1 2 0 2 2 2 1 0 2 0 2 2 2 0 2 0 0 0 2 0 2 2 0 2 1 1 2 1\n0 2 2 2 2 2 0 0 1 1 0 2 0 1 1 0 2 2 2 2 0 2 1 2 0 2 2 2 0 1\n1 1 2 2 2 2 1 0 2 0 2 2 1 1 0 2 2 1 2 2 2 1 1 1 2 2 2 1 1 0\n2 0 0 2 2 0 0 2 0 2 0 2 2 2 2 2 2 2 2 2 1 1 2 2 2 2 0 1 2 2\n2 2 1 0 1 2 1 2 2 0 2 2 2 1 2 0 2 2 2 1 0 0 2 0 2 1 2 2 2 0\n1 2 2 2 2 2 2 2 0 0 2 1 2 0 2 2 2 2 2 2 1 1 2 2 1 2 2 0 0 2\n0 1 2 2 2 0 2 0 2 0 1 2 2 2 0 2 2 0 2 1 2 2 0 2 1 1 0 2 2 2\n2 0 2 1 1 0 1 0 2 1 1 2 2 2 1 1 1 1 1 1 2 2 2 0 2 0 2 2 0 1\n2 2 1 0 1 0 2 2 2 2 2 2 2 2 0 2 2 1 2 1 1 2 2 0 2 1 2 2 0 0\n2 2 2 2 0 2 2 2 0 2 1 0 2 2 2 2 2 2 2 2 2 2 1 0 1 0 2 2 0 2\n0 1 2 1 0 0 2 2 2 1 2 2 2 0 0 2 0 2 2 2 0 1 0 0 2 1 0 1 1 1\n1 2 0 0 2 2 2 0 2 2 0 2 0 2 2 2 0 2 1 2 2 0 2 0 2 2 1 0 2 2\nOutput:\n6 7 9\n4 5 7\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n8 8 2 2 2 0 8 2 2 0 0 0 2 0 2 2 8 8 2 8 2 8 0 2 2 2 2 2 2 0\n0 0 8 8 2 0 2 2 8 0 2 2 8 0 2 0 2 0 2 0 2 2 8 2 0 0 2 2 2 2\n2 8 8 8 2 8 0 2 8 0 2 2 2 8 2 8 0 0 8 0 8 2 8 2 2 2 2 2 8 8\n2 2 2 8 8 8 0 0 2 2 2 8 0 6 6 6 6 6 8 2 0 2 0 0 2 0 0 2 2 8\n2 8 2 8 1 1 1 1 1 1 2 8 0 6 6 6 6 6 0 0 0 6 6 6 6 6 6 2 2 8\n0 0 2 2 1 1 1 1 1 1 2 2 2 6 6 6 6 6 8 0 2 6 6 6 6 6 6 2 0 2\n0 8 2 2 1 1 1 1 1 1 2 2 0 6 6 6 6 6 2 2 2 6 6 6 6 6 6 8 2 2\n8 2 0 0 1 1 1 1 1 1 0 2 2 6 6 6 6 6 2 2 2 2 8 8 2 2 2 2 2 8\n2 2 2 8 2 0 2 8 8 2 2 2 2 2 2 8 8 8 2 2 2 2 2 2 2 2 2 0 0 2\n2 2 8 2 8 8 2 0 2 0 0 2 2 8 0 2 2 2 2 8 2 2 7 7 7 7 7 8 8 8\n0 2 0 5 5 5 5 5 8 2 8 0 3 3 3 3 3 2 2 0 8 2 7 7 7 7 7 2 8 2\n0 8 2 5 5 5 5 5 2 2 2 2 3 3 3 3 3 2 2 8 2 2 7 7 7 7 7 2 8 2\n2 0 2 5 5 5 5 5 2 2 2 2 3 3 3 3 3 8 2 2 8 0 7 7 7 7 7 8 8 2\n2 0 8 5 5 5 5 5 2 2 2 2 3 3 3 3 3 2 0 2 0 2 7 7 7 7 7 8 8 2\n2 8 0 5 5 5 5 5 2 2 0 2 0 2 2 2 2 2 8 2 2 2 8 2 2 2 8 2 8 0\n0 0 2 2 2 2 0 2 0 2 2 2 2 2 2 8 2 2 8 8 0 2 8 2 8 0 2 2 2 8\n2 0 2 8 2 2 2 8 8 0 8 8 6 6 6 6 6 6 6 0 2 8 2 3 3 3 3 8 2 8\n2 2 8 8 2 8 7 7 7 7 2 2 6 6 6 6 6 6 6 2 0 0 0 3 3 3 3 0 2 0\n2 2 2 2 2 2 7 7 7 7 8 0 6 6 6 6 6 6 6 0 8 2 0 3 3 3 3 2 8 8\n2 8 2 0 2 8 7 7 7 7 8 2 6 6 6 6 6 6 6 8 2 8 2 3 3 3 3 8 2 2\n2 2 8 2 2 0 7 7 7 7 2 2 8 0 2 2 8 0 0 2 2 0 2 3 3 3 3 0 2 2\n8 2 8 0 2 2 0 2 8 2 2 2 2 2 8 0 2 2 8 0 2 2 8 2 0 0 0 2 2 8\n2 8 2 8 8 5 5 5 8 2 8 2 4 4 4 4 4 4 2 2 1 1 1 1 1 1 2 2 8 8\n2 0 2 8 8 5 5 5 2 0 8 2 4 4 4 4 4 4 2 2 1 1 1 1 1 1 8 2 0 8\n0 2 2 2 2 5 5 5 8 2 0 2 4 4 4 4 4 4 2 2 1 1 1 1 1 1 2 2 2 2\n2 2 2 2 2 5 5 5 8 8 2 0 4 4 4 4 4 4 8 2 1 1 1 1 1 1 2 2 0 2\n8 8 2 2 2 8 8 0 8 0 2 2 4 4 4 4 4 4 0 8 0 2 2 0 8 2 0 8 2 2\n2 8 0 8 2 0 8 8 8 2 0 0 2 2 8 2 0 8 8 2 2 2 8 0 2 2 2 2 0 8\n2 2 2 2 0 2 2 8 0 0 0 8 2 2 2 8 2 8 2 2 2 8 2 0 2 8 8 2 2 0\n0 2 8 2 2 2 2 2 8 0 0 0 2 2 8 8 8 8 0 8 2 2 8 0 8 0 8 8 2 8\n", "answer": "1 6 6\n5 3 7\n7 6 3\n5 4 1", "metadata": {"source_dataset": "arc_agi", "source_index": 78, "input": [[8, 8, 2, 2, 2, 0, 8, 2, 2, 0, 0, 0, 2, 0, 2, 2, 8, 8, 2, 8, 2, 8, 0, 2, 2, 2, 2, 2, 2, 0], [0, 0, 8, 8, 2, 0, 2, 2, 8, 0, 2, 2, 8, 0, 2, 0, 2, 0, 2, 0, 2, 2, 8, 2, 0, 0, 2, 2, 2, 2], [2, 8, 8, 8, 2, 8, 0, 2, 8, 0, 2, 2, 2, 8, 2, 8, 0, 0, 8, 0, 8, 2, 8, 2, 2, 2, 2, 2, 8, 8], [2, 2, 2, 8, 8, 8, 0, 0, 2, 2, 2, 8, 0, 6, 6, 6, 6, 6, 8, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 8], [2, 8, 2, 8, 1, 1, 1, 1, 1, 1, 2, 8, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 2, 2, 8], [0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 6, 6, 6, 6, 6, 8, 0, 2, 6, 6, 6, 6, 6, 6, 2, 0, 2], [0, 8, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 6, 6, 6, 6, 6, 2, 2, 2, 6, 6, 6, 6, 6, 6, 8, 2, 2], [8, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 6, 6, 6, 6, 6, 2, 2, 2, 2, 8, 8, 2, 2, 2, 2, 2, 8], [2, 2, 2, 8, 2, 0, 2, 8, 8, 2, 2, 2, 2, 2, 2, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2], [2, 2, 8, 2, 8, 8, 2, 0, 2, 0, 0, 2, 2, 8, 0, 2, 2, 2, 2, 8, 2, 2, 7, 7, 7, 7, 7, 8, 8, 8], [0, 2, 0, 5, 5, 5, 5, 5, 8, 2, 8, 0, 3, 3, 3, 3, 3, 2, 2, 0, 8, 2, 7, 7, 7, 7, 7, 2, 8, 2], [0, 8, 2, 5, 5, 5, 5, 5, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 8, 2, 2, 7, 7, 7, 7, 7, 2, 8, 2], [2, 0, 2, 5, 5, 5, 5, 5, 2, 2, 2, 2, 3, 3, 3, 3, 3, 8, 2, 2, 8, 0, 7, 7, 7, 7, 7, 8, 8, 2], [2, 0, 8, 5, 5, 5, 5, 5, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 0, 2, 0, 2, 7, 7, 7, 7, 7, 8, 8, 2], [2, 8, 0, 5, 5, 5, 5, 5, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 8, 2, 2, 2, 8, 2, 2, 2, 8, 2, 8, 0], [0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 8, 2, 2, 8, 8, 0, 2, 8, 2, 8, 0, 2, 2, 2, 8], [2, 0, 2, 8, 2, 2, 2, 8, 8, 0, 8, 8, 6, 6, 6, 6, 6, 6, 6, 0, 2, 8, 2, 3, 3, 3, 3, 8, 2, 8], [2, 2, 8, 8, 2, 8, 7, 7, 7, 7, 2, 2, 6, 6, 6, 6, 6, 6, 6, 2, 0, 0, 0, 3, 3, 3, 3, 0, 2, 0], [2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 8, 0, 6, 6, 6, 6, 6, 6, 6, 0, 8, 2, 0, 3, 3, 3, 3, 2, 8, 8], [2, 8, 2, 0, 2, 8, 7, 7, 7, 7, 8, 2, 6, 6, 6, 6, 6, 6, 6, 8, 2, 8, 2, 3, 3, 3, 3, 8, 2, 2], [2, 2, 8, 2, 2, 0, 7, 7, 7, 7, 2, 2, 8, 0, 2, 2, 8, 0, 0, 2, 2, 0, 2, 3, 3, 3, 3, 0, 2, 2], [8, 2, 8, 0, 2, 2, 0, 2, 8, 2, 2, 2, 2, 2, 8, 0, 2, 2, 8, 0, 2, 2, 8, 2, 0, 0, 0, 2, 2, 8], [2, 8, 2, 8, 8, 5, 5, 5, 8, 2, 8, 2, 4, 4, 4, 4, 4, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 8, 8], [2, 0, 2, 8, 8, 5, 5, 5, 2, 0, 8, 2, 4, 4, 4, 4, 4, 4, 2, 2, 1, 1, 1, 1, 1, 1, 8, 2, 0, 8], [0, 2, 2, 2, 2, 5, 5, 5, 8, 2, 0, 2, 4, 4, 4, 4, 4, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2], [2, 2, 2, 2, 2, 5, 5, 5, 8, 8, 2, 0, 4, 4, 4, 4, 4, 4, 8, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2], [8, 8, 2, 2, 2, 8, 8, 0, 8, 0, 2, 2, 4, 4, 4, 4, 4, 4, 0, 8, 0, 2, 2, 0, 8, 2, 0, 8, 2, 2], [2, 8, 0, 8, 2, 0, 8, 8, 8, 2, 0, 0, 2, 2, 8, 2, 0, 8, 8, 2, 2, 2, 8, 0, 2, 2, 2, 2, 0, 8], [2, 2, 2, 2, 0, 2, 2, 8, 0, 0, 0, 8, 2, 2, 2, 8, 2, 8, 2, 2, 2, 8, 2, 0, 2, 8, 8, 2, 2, 0], [0, 2, 8, 2, 2, 2, 2, 2, 8, 0, 0, 0, 2, 2, 8, 8, 8, 8, 0, 8, 2, 2, 8, 0, 8, 0, 8, 8, 2, 8]], "output": [[1, 6, 6], [5, 3, 7], [7, 6, 3], [5, 4, 1]], "task_id": "0a1d4ef5", "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": 78, "input": [[8, 8, 2, 2, 2, 0, 8, 2, 2, 0, 0, 0, 2, 0, 2, 2, 8, 8, 2, 8, 2, 8, 0, 2, 2, 2, 2, 2, 2, 0], [0, 0, 8, 8, 2, 0, 2, 2, 8, 0, 2, 2, 8, 0, 2, 0, 2, 0, 2, 0, 2, 2, 8, 2, 0, 0, 2, 2, 2, 2], [2, 8, 8, 8, 2, 8, 0, 2, 8, 0, 2, 2, 2, 8, 2, 8, 0, 0, 8, 0, 8, 2, 8, 2, 2, 2, 2, 2, 8, 8], [2, 2, 2, 8, 8, 8, 0, 0, 2, 2, 2, 8, 0, 6, 6, 6, 6, 6, 8, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 8], [2, 8, 2, 8, 1, 1, 1, 1, 1, 1, 2, 8, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 2, 2, 8], [0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 6, 6, 6, 6, 6, 8, 0, 2, 6, 6, 6, 6, 6, 6, 2, 0, 2], [0, 8, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 6, 6, 6, 6, 6, 2, 2, 2, 6, 6, 6, 6, 6, 6, 8, 2, 2], [8, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 6, 6, 6, 6, 6, 2, 2, 2, 2, 8, 8, 2, 2, 2, 2, 2, 8], [2, 2, 2, 8, 2, 0, 2, 8, 8, 2, 2, 2, 2, 2, 2, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2], [2, 2, 8, 2, 8, 8, 2, 0, 2, 0, 0, 2, 2, 8, 0, 2, 2, 2, 2, 8, 2, 2, 7, 7, 7, 7, 7, 8, 8, 8], [0, 2, 0, 5, 5, 5, 5, 5, 8, 2, 8, 0, 3, 3, 3, 3, 3, 2, 2, 0, 8, 2, 7, 7, 7, 7, 7, 2, 8, 2], [0, 8, 2, 5, 5, 5, 5, 5, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 8, 2, 2, 7, 7, 7, 7, 7, 2, 8, 2], [2, 0, 2, 5, 5, 5, 5, 5, 2, 2, 2, 2, 3, 3, 3, 3, 3, 8, 2, 2, 8, 0, 7, 7, 7, 7, 7, 8, 8, 2], [2, 0, 8, 5, 5, 5, 5, 5, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 0, 2, 0, 2, 7, 7, 7, 7, 7, 8, 8, 2], [2, 8, 0, 5, 5, 5, 5, 5, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 8, 2, 2, 2, 8, 2, 2, 2, 8, 2, 8, 0], [0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 8, 2, 2, 8, 8, 0, 2, 8, 2, 8, 0, 2, 2, 2, 8], [2, 0, 2, 8, 2, 2, 2, 8, 8, 0, 8, 8, 6, 6, 6, 6, 6, 6, 6, 0, 2, 8, 2, 3, 3, 3, 3, 8, 2, 8], [2, 2, 8, 8, 2, 8, 7, 7, 7, 7, 2, 2, 6, 6, 6, 6, 6, 6, 6, 2, 0, 0, 0, 3, 3, 3, 3, 0, 2, 0], [2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 8, 0, 6, 6, 6, 6, 6, 6, 6, 0, 8, 2, 0, 3, 3, 3, 3, 2, 8, 8], [2, 8, 2, 0, 2, 8, 7, 7, 7, 7, 8, 2, 6, 6, 6, 6, 6, 6, 6, 8, 2, 8, 2, 3, 3, 3, 3, 8, 2, 2], [2, 2, 8, 2, 2, 0, 7, 7, 7, 7, 2, 2, 8, 0, 2, 2, 8, 0, 0, 2, 2, 0, 2, 3, 3, 3, 3, 0, 2, 2], [8, 2, 8, 0, 2, 2, 0, 2, 8, 2, 2, 2, 2, 2, 8, 0, 2, 2, 8, 0, 2, 2, 8, 2, 0, 0, 0, 2, 2, 8], [2, 8, 2, 8, 8, 5, 5, 5, 8, 2, 8, 2, 4, 4, 4, 4, 4, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 8, 8], [2, 0, 2, 8, 8, 5, 5, 5, 2, 0, 8, 2, 4, 4, 4, 4, 4, 4, 2, 2, 1, 1, 1, 1, 1, 1, 8, 2, 0, 8], [0, 2, 2, 2, 2, 5, 5, 5, 8, 2, 0, 2, 4, 4, 4, 4, 4, 4, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2], [2, 2, 2, 2, 2, 5, 5, 5, 8, 8, 2, 0, 4, 4, 4, 4, 4, 4, 8, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2], [8, 8, 2, 2, 2, 8, 8, 0, 8, 0, 2, 2, 4, 4, 4, 4, 4, 4, 0, 8, 0, 2, 2, 0, 8, 2, 0, 8, 2, 2], [2, 8, 0, 8, 2, 0, 8, 8, 8, 2, 0, 0, 2, 2, 8, 2, 0, 8, 8, 2, 2, 2, 8, 0, 2, 2, 2, 2, 0, 8], [2, 2, 2, 2, 0, 2, 2, 8, 0, 0, 0, 8, 2, 2, 2, 8, 2, 8, 2, 2, 2, 8, 2, 0, 2, 8, 8, 2, 2, 0], [0, 2, 8, 2, 2, 2, 2, 2, 8, 0, 0, 0, 2, 2, 8, 8, 8, 8, 0, 8, 2, 2, 8, 0, 8, 0, 8, 8, 2, 8]], "output": [[1, 6, 6], [5, 3, 7], [7, 6, 3], [5, 4, 1]], "task_id": "0a1d4ef5", "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 9 6 9 9 6 9 9 9 1 9 9 1 9 6 1 9 9 1 6 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 9 9 9 6 6 9 9 9 6 9 6 9 9 1 9 6 6 6 9 1 9 6 9 9 9 9 9 9 9 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 9 9 1 6 9 1 9 9 1 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 9 9 9 9 6 9 9 9 9 1 9 9 6 9 9 1 6 9 1 9 9 9 6 9 9 6 9 6 9 9 9 6 Output: 9 9 9 9 9 9 9 9 9 9 9 9 9 1 9 9 1 9 9 1 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 1 9 9 1 9 9 1 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 1 9 9 1 9 9 1 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 1 9 9 1 9 9 1 9 9 1 9 9 9 9 9 9 9 9 9 9 9 9 9 Example 2: Input: 1 6 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 6 1 6 1 7 1 7 1 7 6 7 1 7 6 7 1 1 1 1 1 1 6 1 1 6 1 1 6 1 6 1 1 1 1 1 1 7 1 7 6 6 6 7 1 7 6 7 1 7 1 7 1 7 1 1 1 1 6 1 6 6 1 6 1 1 6 1 1 1 1 1 1 1 1 6 1 7 1 7 6 7 6 6 1 7 1 7 1 7 1 7 1 1 1 1 1 6 1 6 1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 7 1 7 1 7 1 7 1 7 6 7 1 7 6 7 1 1 1 6 1 1 1 1 1 1 1 1 1 6 6 1 1 6 1 6 1 7 1 7 1 7 6 7 1 7 1 7 1 7 1 7 1 7 1 1 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 6 1 7 1 7 1 6 6 7 1 7 6 7 1 7 1 6 1 7 1 6 1 1 6 1 6 1 1 1 1 1 1 6 6 1 1 6 1 1 1 7 1 7 1 7 1 7 6 7 1 7 1 7 6 7 1 7 1 1 1 1 1 1 1 1 1 1 6 1 6 6 6 1 1 1 1 1 Output: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 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: 2 2 2 2 2 6 2 2 2 6 2 6 6 2 2 2 6 6 4 6 4 4 2 6 4 2 6 6 2 6 4 6 2 4 4 2 4 6 2 4 6 2 6 4 2 4 4 6 2 2 6 2 6 2 6 2 2 2 6 2 2 2 2 6 6 4 4 2 6 6 2 6 4 2 4 6 2 6 4 6 6 6 4 2 6 6 2 6 4 2 6 6 2 4 4 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 4 6 2 4 4 2 4 4 2 4 4 2 4 4 2 2 4 4 2 4 4 2 4 4 2 6 4 6 4 4 2 2 2 2 2 2 2 2 2 2 2 2 6 2 2 2 2 2 4 4 2 4 4 2 4 4 2 6 4 2 4 4 2 2 4 4 6 4 4 2 4 4 2 4 4 2 6 4 6 6 6 2 2 6 6 6 2 6 2 2 2 6 2 6 2 6 4 4 2 6 4 2 4 4 2 4 6 2 4 6 2 2 4 4 2 6 4 2 4 4 2 4 4 2 4 4 2 2 6 2 2 2 2 2 2 6 6 2 2 2 2 2 2	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 4 4 2 4 4 2 4 4 2 4 4 2 4 4 2\n2 4 4 2 4 4 2 4 4 2 4 4 2 4 4 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 4 4 2 4 4 2 4 4 2 4 4 2 4 4 2\n2 4 4 2 4 4 2 4 4 2 4 4 2 4 4 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 4 4 2 4 4 2 4 4 2 4 4 2 4 4 2\n2 4 4 2 4 4 2 4 4 2 4 4 2 4 4 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 4 4 2 4 4 2 4 4 2 4 4 2 4 4 2\n2 4 4 2 4 4 2 4 4 2 4 4 2 4 4 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 4 4 2 4 4 2 4 4 2 4 4 2 4 4 2\n2 4 4 2 4 4 2 4 4 2 4 4 2 4 4 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n9 9 9 9 9 9 6 9 9 6 9 9\n9 1 9 9 1 9 6 1 9 9 1 6\n9 9 9 9 9 9 9 9 9 9 9 9\n9 6 9 9 9 9 6 6 9 9 9 6\n9 6 9 9 1 9 6 6 6 9 1 9\n6 9 9 9 9 9 9 9 6 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9\n9 1 9 9 1 6 9 1 9 9 1 9\n9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 6 9 9 9 9 6 9 9 9\n9 1 9 9 6 9 9 1 6 9 1 9\n9 9 6 9 9 6 9 6 9 9 9 6\nOutput:\n9 9 9 9 9 9 9 9 9 9 9 9\n9 1 9 9 1 9 9 1 9 9 1 9\n9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9\n9 1 9 9 1 9 9 1 9 9 1 9\n9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9\n9 1 9 9 1 9 9 1 9 9 1 9\n9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9\n9 1 9 9 1 9 9 1 9 9 1 9\n9 9 9 9 9 9 9 9 9 9 9 9\n\nExample 2:\n\nInput:\n1 6 6 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 7 1 6 1 6 1 7 1 7 1 7 6 7 1 7 6 7 1\n1 1 1 1 1 6 1 1 6 1 1 6 1 6 1 1 1 1 1\n1 7 1 7 6 6 6 7 1 7 6 7 1 7 1 7 1 7 1\n1 1 1 6 1 6 6 1 6 1 1 6 1 1 1 1 1 1 1\n1 6 1 7 1 7 6 7 6 6 1 7 1 7 1 7 1 7 1\n1 1 1 1 6 1 6 1 1 1 1 1 1 1 1 1 1 1 1\n1 7 1 7 1 7 1 7 1 7 1 7 6 7 1 7 6 7 1\n1 1 6 1 1 1 1 1 1 1 1 1 6 6 1 1 6 1 6\n1 7 1 7 1 7 6 7 1 7 1 7 1 7 1 7 1 7 1\n1 1 1 1 1 1 1 1 6 1 1 1 1 1 1 1 1 1 6\n1 7 1 7 1 6 6 7 1 7 6 7 1 7 1 6 1 7 1\n6 1 1 6 1 6 1 1 1 1 1 1 6 6 1 1 6 1 1\n1 7 1 7 1 7 1 7 6 7 1 7 1 7 6 7 1 7 1\n1 1 1 1 1 1 1 1 1 6 1 6 6 6 1 1 1 1 1\nOutput:\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n2 2 2 2 2 6 2 2 2 6 2 6 6 2 2 2\n6 6 4 6 4 4 2 6 4 2 6 6 2 6 4 6\n2 4 4 2 4 6 2 4 6 2 6 4 2 4 4 6\n2 2 6 2 6 2 6 2 2 2 6 2 2 2 2 6\n6 4 4 2 6 6 2 6 4 2 4 6 2 6 4 6\n6 6 4 2 6 6 2 6 4 2 6 6 2 4 4 6\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6\n2 4 6 2 4 4 2 4 4 2 4 4 2 4 4 2\n2 4 4 2 4 4 2 4 4 2 6 4 6 4 4 2\n2 2 2 2 2 2 2 2 2 2 2 6 2 2 2 2\n2 4 4 2 4 4 2 4 4 2 6 4 2 4 4 2\n2 4 4 6 4 4 2 4 4 2 4 4 2 6 4 6\n6 6 2 2 6 6 6 2 6 2 2 2 6 2 6 2\n6 4 4 2 6 4 2 4 4 2 4 6 2 4 6 2\n2 4 4 2 6 4 2 4 4 2 4 4 2 4 4 2\n2 6 2 2 2 2 2 2 6 6 2 2 2 2 2 2\n", "answer": "2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 4 4 2 4 4 2 4 4 2 4 4 2 4 4 2\n2 4 4 2 4 4 2 4 4 2 4 4 2 4 4 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 4 4 2 4 4 2 4 4 2 4 4 2 4 4 2\n2 4 4 2 4 4 2 4 4 2 4 4 2 4 4 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 4 4 2 4 4 2 4 4 2 4 4 2 4 4 2\n2 4 4 2 4 4 2 4 4 2 4 4 2 4 4 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 4 4 2 4 4 2 4 4 2 4 4 2 4 4 2\n2 4 4 2 4 4 2 4 4 2 4 4 2 4 4 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 4 4 2 4 4 2 4 4 2 4 4 2 4 4 2\n2 4 4 2 4 4 2 4 4 2 4 4 2 4 4 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2", "metadata": {"source_dataset": "arc_agi", "source_index": 79, "input": [[2, 2, 2, 2, 2, 6, 2, 2, 2, 6, 2, 6, 6, 2, 2, 2], [6, 6, 4, 6, 4, 4, 2, 6, 4, 2, 6, 6, 2, 6, 4, 6], [2, 4, 4, 2, 4, 6, 2, 4, 6, 2, 6, 4, 2, 4, 4, 6], [2, 2, 6, 2, 6, 2, 6, 2, 2, 2, 6, 2, 2, 2, 2, 6], [6, 4, 4, 2, 6, 6, 2, 6, 4, 2, 4, 6, 2, 6, 4, 6], [6, 6, 4, 2, 6, 6, 2, 6, 4, 2, 6, 6, 2, 4, 4, 6], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6], [2, 4, 6, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2], [2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 6, 4, 6, 4, 4, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 2], [2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 6, 4, 2, 4, 4, 2], [2, 4, 4, 6, 4, 4, 2, 4, 4, 2, 4, 4, 2, 6, 4, 6], [6, 6, 2, 2, 6, 6, 6, 2, 6, 2, 2, 2, 6, 2, 6, 2], [6, 4, 4, 2, 6, 4, 2, 4, 4, 2, 4, 6, 2, 4, 6, 2], [2, 4, 4, 2, 6, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2], [2, 6, 2, 2, 2, 2, 2, 2, 6, 6, 2, 2, 2, 2, 2, 2]], "output": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2], [2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2], [2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2], [2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2], [2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2], [2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "task_id": "f823c43c", "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": 79, "input": [[2, 2, 2, 2, 2, 6, 2, 2, 2, 6, 2, 6, 6, 2, 2, 2], [6, 6, 4, 6, 4, 4, 2, 6, 4, 2, 6, 6, 2, 6, 4, 6], [2, 4, 4, 2, 4, 6, 2, 4, 6, 2, 6, 4, 2, 4, 4, 6], [2, 2, 6, 2, 6, 2, 6, 2, 2, 2, 6, 2, 2, 2, 2, 6], [6, 4, 4, 2, 6, 6, 2, 6, 4, 2, 4, 6, 2, 6, 4, 6], [6, 6, 4, 2, 6, 6, 2, 6, 4, 2, 6, 6, 2, 4, 4, 6], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6], [2, 4, 6, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2], [2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 6, 4, 6, 4, 4, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 2], [2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 6, 4, 2, 4, 4, 2], [2, 4, 4, 6, 4, 4, 2, 4, 4, 2, 4, 4, 2, 6, 4, 6], [6, 6, 2, 2, 6, 6, 6, 2, 6, 2, 2, 2, 6, 2, 6, 2], [6, 4, 4, 2, 6, 4, 2, 4, 4, 2, 4, 6, 2, 4, 6, 2], [2, 4, 4, 2, 6, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2], [2, 6, 2, 2, 2, 2, 2, 2, 6, 6, 2, 2, 2, 2, 2, 2]], "output": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2], [2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2], [2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2], [2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2], [2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2], [2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2, 4, 4, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "task_id": "f823c43c", "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 3 8 8 8 3 8 3 8 Output: 4 4 4 8 3 8 4 4 4 4 4 4 8 8 3 4 4 4 4 4 4 8 3 8 4 4 4 4 4 4 4 4 4 8 3 8 4 4 4 4 4 4 8 8 3 4 4 4 4 4 4 8 3 8 4 4 4 8 3 8 4 4 4 4 4 4 8 8 3 4 4 4 4 4 4 8 3 8 4 4 4 Example 2: Input: 6 0 6 6 6 6 6 0 0 Output: 4 4 4 6 0 6 4 4 4 4 4 4 6 6 6 4 4 4 4 4 4 6 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 6 0 6 6 0 6 4 4 4 6 6 6 6 6 6 4 4 4 6 0 0 6 0 0 Example 3: Input: 8 5 5 8 6 6 8 6 2 Output: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 5 5 4 4 4 4 4 4 8 6 6 4 4 4 4 4 4 8 6 2 Example 4: Input: 9 9 5 7 7 7 5 5 7 Output: 9 9 5 9 9 5 4 4 4 7 7 7 7 7 7 4 4 4 5 5 7 5 5 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Example 5: Input: 2 2 7 7 7 2 1 9 9 Output: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 2 2 7 4 4 4 4 4 4 7 7 2 4 4 4 4 4 4 1 9 9 4 4 4 4 4 4 Example 6: Input: 5 5 5 1 3 5 1 1 3 Output: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 1 3 5 4 4 4 4 4 4 1 1 3 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 1 3 5 4 4 4 4 4 4 1 1 3 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 8 9 8 8 9 9 9 8 9	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "8 9 8 4 4 4 8 9 8\n8 9 9 4 4 4 8 9 9\n9 8 9 4 4 4 9 8 9\n8 9 8 4 4 4 4 4 4\n8 9 9 4 4 4 4 4 4\n9 8 9 4 4 4 4 4 4\n4 4 4 8 9 8 4 4 4\n4 4 4 8 9 9 4 4 4\n4 4 4 9 8 9 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:\n8 3 8\n8 8 3\n8 3 8\nOutput:\n4 4 4 8 3 8 4 4 4\n4 4 4 8 8 3 4 4 4\n4 4 4 8 3 8 4 4 4\n4 4 4 4 4 4 8 3 8\n4 4 4 4 4 4 8 8 3\n4 4 4 4 4 4 8 3 8\n4 4 4 8 3 8 4 4 4\n4 4 4 8 8 3 4 4 4\n4 4 4 8 3 8 4 4 4\n\nExample 2:\n\nInput:\n6 0 6\n6 6 6\n6 0 0\nOutput:\n4 4 4 6 0 6 4 4 4\n4 4 4 6 6 6 4 4 4\n4 4 4 6 0 0 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 6 0 6 6 0 6\n4 4 4 6 6 6 6 6 6\n4 4 4 6 0 0 6 0 0\n\nExample 3:\n\nInput:\n8 5 5\n8 6 6\n8 6 2\nOutput:\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 8 5 5\n4 4 4 4 4 4 8 6 6\n4 4 4 4 4 4 8 6 2\n\nExample 4:\n\nInput:\n9 9 5\n7 7 7\n5 5 7\nOutput:\n9 9 5 9 9 5 4 4 4\n7 7 7 7 7 7 4 4 4\n5 5 7 5 5 7 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n\nExample 5:\n\nInput:\n2 2 7\n7 7 2\n1 9 9\nOutput:\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n2 2 7 4 4 4 4 4 4\n7 7 2 4 4 4 4 4 4\n1 9 9 4 4 4 4 4 4\n\nExample 6:\n\nInput:\n5 5 5\n1 3 5\n1 1 3\nOutput:\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4\n4 4 4 5 5 5 4 4 4\n4 4 4 1 3 5 4 4 4\n4 4 4 1 1 3 4 4 4\n4 4 4 4 4 4 5 5 5\n4 4 4 4 4 4 1 3 5\n4 4 4 4 4 4 1 1 3\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n8 9 8\n8 9 9\n9 8 9\n", "answer": "8 9 8 4 4 4 8 9 8\n8 9 9 4 4 4 8 9 9\n9 8 9 4 4 4 9 8 9\n8 9 8 4 4 4 4 4 4\n8 9 9 4 4 4 4 4 4\n9 8 9 4 4 4 4 4 4\n4 4 4 8 9 8 4 4 4\n4 4 4 8 9 9 4 4 4\n4 4 4 9 8 9 4 4 4", "metadata": {"source_dataset": "arc_agi", "source_index": 80, "input": [[8, 9, 8], [8, 9, 9], [9, 8, 9]], "output": [[8, 9, 8, 4, 4, 4, 8, 9, 8], [8, 9, 9, 4, 4, 4, 8, 9, 9], [9, 8, 9, 4, 4, 4, 9, 8, 9], [8, 9, 8, 4, 4, 4, 4, 4, 4], [8, 9, 9, 4, 4, 4, 4, 4, 4], [9, 8, 9, 4, 4, 4, 4, 4, 4], [4, 4, 4, 8, 9, 8, 4, 4, 4], [4, 4, 4, 8, 9, 9, 4, 4, 4], [4, 4, 4, 9, 8, 9, 4, 4, 4]], "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": 80, "input": [[8, 9, 8], [8, 9, 9], [9, 8, 9]], "output": [[8, 9, 8, 4, 4, 4, 8, 9, 8], [8, 9, 9, 4, 4, 4, 8, 9, 9], [9, 8, 9, 4, 4, 4, 9, 8, 9], [8, 9, 8, 4, 4, 4, 4, 4, 4], [8, 9, 9, 4, 4, 4, 4, 4, 4], [9, 8, 9, 4, 4, 4, 4, 4, 4], [4, 4, 4, 8, 9, 8, 4, 4, 4], [4, 4, 4, 8, 9, 9, 4, 4, 4], [4, 4, 4, 9, 8, 9, 4, 4, 4]], "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]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 0 6 6 6 6 6 6 6 6 0 6 0 4 6 6 6 6 6 6 6 6 0 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 0 0 6 6 6 6 6 6 6 6 0 6 0 6 6 6 6 6 6 6 6 0 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Output: 6 0 6 0 6 0 6 6 0 Example 2: Input: 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 5 5 5 6 5 5 5 6 6 6 6 5 6 6 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 5 6 6 6 6 6 6 6 6 5 5 5 4 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Output: 5 5 6 5 5 5 6 5 6 Example 3: Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 7 7 7 4 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 7 6 7 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 Output: 6 6 7 7 7 7 6 7 6 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 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 2 6 6 6 6 2 2 2 6 6 2 2 2 4 6 6 2 6 6 6 6 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 2 2 6 6 6 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 6 6\n2 2 2\n6 2 6", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 0 6 6 6\n6 6 6 6 6 0 6 0 4 6\n6 6 6 6 6 6 6 0 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 0 0 6 6 6 6\n6 6 6 6 0 6 0 6 6 6\n6 6 6 6 6 0 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\nOutput:\n6 0 6\n0 6 0\n6 6 0\n\nExample 2:\n\nInput:\n6 6 6 6 6 6 6 6 5 6\n6 6 6 6 6 6 5 5 5 6\n5 5 5 6 6 6 6 5 6 6\n5 5 5 6 6 6 6 6 6 6\n6 5 6 6 6 6 6 6 6 6\n6 6 6 6 5 5 6 6 6 6\n6 6 6 6 5 5 5 4 6 6\n6 6 6 6 6 5 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\nOutput:\n5 5 6\n5 5 5\n6 5 6\n\nExample 3:\n\nInput:\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 7 6 6 6 6 6\n6 6 7 7 7 4 6 6 6 6\n6 6 6 7 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 7 7 6 6\n6 6 6 6 6 7 6 7 6 6\n6 6 6 6 6 6 7 6 6 6\n6 6 6 6 6 6 6 6 6 6\nOutput:\n6 6 7\n7 7 7\n6 7 6\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 2 2 6 6 6 2 6 6 6\n6 2 2 2 6 6 2 2 2 4\n6 6 2 6 6 6 6 2 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n6 6 6 2 2 2 6 6 6 6\n6 6 6 6 2 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6\n", "answer": "2 6 6\n2 2 2\n6 2 6", "metadata": {"source_dataset": "arc_agi", "source_index": 81, "input": [[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, 2, 6, 6, 6], [6, 2, 2, 2, 6, 6, 2, 2, 2, 4], [6, 6, 2, 6, 6, 6, 6, 2, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 2, 2, 2, 6, 6, 6, 6], [6, 6, 6, 6, 2, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "output": [[2, 6, 6], [2, 2, 2], [6, 2, 6]], "task_id": "48d8fb45", "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": 81, "input": [[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, 2, 6, 6, 6], [6, 2, 2, 2, 6, 6, 2, 2, 2, 4], [6, 6, 2, 6, 6, 6, 6, 2, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 2, 2, 2, 6, 6, 6, 6], [6, 6, 6, 6, 2, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "output": [[2, 6, 6], [2, 2, 2], [6, 2, 6]], "task_id": "48d8fb45", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 6 6 3 6 6 8 6 Output: 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 3 6 6 6 6 6 6 6 6 6 6 6 8 6 6 6 6 6 6 6 6 2 6 6 6 6 6 3 6 6 8 6 Example 2: Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 5 6 Output: 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 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 7 6 6 6 6 6 6 6 6 5 6 6 6 6 6 7 6 6 5 6 Example 3: Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 2 6 Output: 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 2 6 6 6 6 6 5 6 6 2 6 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 3 6 6 6 6 6 2 6 6 5 6	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "6 2 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 5 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 3 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 2 6\n6 6 6\n6 6 6\n6 6 6\n6 5 6\n6 6 6\n6 6 6\n6 3 6\n6 6 6\n6 2 6\n6 5 6", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 2 6\n6 6 6\n6 3 6\n6 8 6\nOutput:\n6 6 6\n6 6 6\n6 6 6\n6 2 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 3 6\n6 6 6\n6 6 6\n6 6 6\n6 8 6\n6 6 6\n6 6 6\n6 2 6\n6 6 6\n6 3 6\n6 8 6\n\nExample 2:\n\nInput:\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 7 6\n6 5 6\nOutput:\n6 7 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 5 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 7 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 5 6\n6 6 6\n6 6 6\n6 6 6\n6 7 6\n6 6 6\n6 6 6\n6 5 6\n6 6 6\n6 7 6\n6 5 6\n\nExample 3:\n\nInput:\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 5 6\n6 2 6\nOutput:\n6 6 6\n6 6 6\n6 6 6\n6 5 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 2 6\n6 6 6\n6 6 6\n6 6 6\n6 5 6\n6 6 6\n6 6 6\n6 2 6\n6 6 6\n6 5 6\n6 2 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\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 3 6\n6 6 6\n6 2 6\n6 5 6\n", "answer": "6 2 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 5 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 3 6\n6 6 6\n6 6 6\n6 6 6\n6 6 6\n6 2 6\n6 6 6\n6 6 6\n6 6 6\n6 5 6\n6 6 6\n6 6 6\n6 3 6\n6 6 6\n6 2 6\n6 5 6", "metadata": {"source_dataset": "arc_agi", "source_index": 82, "input": [[6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 3, 6], [6, 6, 6], [6, 2, 6], [6, 5, 6]], "output": [[6, 2, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 5, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 3, 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, 5, 6], [6, 6, 6], [6, 6, 6], [6, 3, 6], [6, 6, 6], [6, 2, 6], [6, 5, 6]], "task_id": "72207abc", "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": 82, "input": [[6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 3, 6], [6, 6, 6], [6, 2, 6], [6, 5, 6]], "output": [[6, 2, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 5, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 6, 6], [6, 3, 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, 5, 6], [6, 6, 6], [6, 6, 6], [6, 3, 6], [6, 6, 6], [6, 2, 6], [6, 5, 6]], "task_id": "72207abc", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 2 7 7 5 7 7 3 7 7 7 2 2 7 5 7 7 3 7 7 7 7 2 2 5 7 7 3 3 7 7 5 5 5 5 7 7 7 7 7 8 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 4 7 7 7 8 7 3 7 7 7 4 4 7 7 8 3 3 3 7 7 7 4 4 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Output: 2 7 7 5 7 7 3 7 7 7 2 2 7 5 7 7 3 7 7 7 7 2 2 5 7 7 3 3 7 7 5 5 5 5 7 7 7 7 7 8 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 5 7 7 7 8 7 3 7 7 7 5 5 7 7 8 3 3 3 7 7 7 5 5 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Example 2: Input: 7 0 7 5 7 7 7 7 7 7 0 0 7 5 7 7 7 4 7 7 7 0 7 5 7 7 7 4 4 7 5 5 5 5 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 2 7 7 1 1 1 7 7 7 2 2 7 7 7 1 7 7 7 7 7 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Output: 7 0 7 5 7 7 7 7 7 7 0 0 7 5 7 7 7 4 7 7 7 0 7 5 7 7 7 4 4 7 5 5 5 5 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 7 7 1 1 1 7 7 7 5 5 7 7 7 1 7 7 7 7 7 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Example 3: Input: 7 1 7 5 7 7 7 7 8 8 1 1 7 5 7 7 7 7 8 8 7 7 7 5 7 7 3 7 7 7 5 5 5 5 7 7 3 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 0 7 7 7 7 7 7 7 7 0 7 7 7 7 7 9 7 7 7 7 7 7 7 7 9 9 7 7 7 7 7 7 7 7 7 7 7 Output: 7 1 7 5 7 7 7 7 8 8 1 1 7 5 7 7 7 7 8 8 7 7 7 5 7 7 3 7 7 7 5 5 5 5 7 7 3 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 0 7 7 7 7 7 7 7 7 0 7 7 7 7 7 5 7 7 7 7 7 7 7 7 5 5 7 7 7 7 7 7 7 7 7 7 7 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 7 6 7 5 7 7 8 8 7 7 7 6 7 5 7 7 8 7 7 7 7 6 6 5 7 7 8 7 7 7 5 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 1 1 1 7 7 3 7 7 7 7 7 7 1 7 7 3 3 4 4 4 7 7 7 7 7 7 7 7 4 7 7 7 7 0 0 0 7 7 7 7 7 7 7 7 7 7 7	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "7 6 7 5 7 7 8 8 7 7\n7 6 7 5 7 7 8 7 7 7\n7 6 6 5 7 7 8 7 7 7\n5 5 5 5 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 5 7\n7 7 7 1 1 1 7 7 5 7\n7 7 7 7 7 1 7 7 5 5\n4 4 4 7 7 7 7 7 7 7\n7 4 7 7 7 7 0 0 0 7\n7 7 7 7 7 7 7 7 7 7", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n2 7 7 5 7 7 3 7 7 7\n2 2 7 5 7 7 3 7 7 7\n7 2 2 5 7 7 3 3 7 7\n5 5 5 5 7 7 7 7 7 8\n7 7 7 7 7 7 7 7 8 8\n7 7 7 7 7 4 7 7 7 8\n7 3 7 7 7 4 4 7 7 8\n3 3 3 7 7 7 4 4 7 7\n7 3 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\nOutput:\n2 7 7 5 7 7 3 7 7 7\n2 2 7 5 7 7 3 7 7 7\n7 2 2 5 7 7 3 3 7 7\n5 5 5 5 7 7 7 7 7 8\n7 7 7 7 7 7 7 7 8 8\n7 7 7 7 7 5 7 7 7 8\n7 3 7 7 7 5 5 7 7 8\n3 3 3 7 7 7 5 5 7 7\n7 3 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n\nExample 2:\n\nInput:\n7 0 7 5 7 7 7 7 7 7\n0 0 7 5 7 7 7 4 7 7\n7 0 7 5 7 7 7 4 4 7\n5 5 5 5 7 7 7 4 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 2 7 7 1 1 1 7 7 7\n2 2 7 7 7 1 7 7 7 7\n7 2 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\nOutput:\n7 0 7 5 7 7 7 7 7 7\n0 0 7 5 7 7 7 4 7 7\n7 0 7 5 7 7 7 4 4 7\n5 5 5 5 7 7 7 4 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 5 7 7 1 1 1 7 7 7\n5 5 7 7 7 1 7 7 7 7\n7 5 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7\n\nExample 3:\n\nInput:\n7 1 7 5 7 7 7 7 8 8\n1 1 7 5 7 7 7 7 8 8\n7 7 7 5 7 7 3 7 7 7\n5 5 5 5 7 7 3 7 7 7\n7 7 7 7 7 7 3 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 0 0 7 7 7 7 7 7\n7 7 0 7 7 7 7 7 9 7\n7 7 7 7 7 7 7 9 9 7\n7 7 7 7 7 7 7 7 7 7\nOutput:\n7 1 7 5 7 7 7 7 8 8\n1 1 7 5 7 7 7 7 8 8\n7 7 7 5 7 7 3 7 7 7\n5 5 5 5 7 7 3 7 7 7\n7 7 7 7 7 7 3 7 7 7\n7 7 7 7 7 7 7 7 7 7\n7 7 0 0 7 7 7 7 7 7\n7 7 0 7 7 7 7 7 5 7\n7 7 7 7 7 7 7 5 5 7\n7 7 7 7 7 7 7 7 7 7\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n7 6 7 5 7 7 8 8 7 7\n7 6 7 5 7 7 8 7 7 7\n7 6 6 5 7 7 8 7 7 7\n5 5 5 5 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 3 7\n7 7 7 1 1 1 7 7 3 7\n7 7 7 7 7 1 7 7 3 3\n4 4 4 7 7 7 7 7 7 7\n7 4 7 7 7 7 0 0 0 7\n7 7 7 7 7 7 7 7 7 7\n", "answer": "7 6 7 5 7 7 8 8 7 7\n7 6 7 5 7 7 8 7 7 7\n7 6 6 5 7 7 8 7 7 7\n5 5 5 5 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 5 7\n7 7 7 1 1 1 7 7 5 7\n7 7 7 7 7 1 7 7 5 5\n4 4 4 7 7 7 7 7 7 7\n7 4 7 7 7 7 0 0 0 7\n7 7 7 7 7 7 7 7 7 7", "metadata": {"source_dataset": "arc_agi", "source_index": 83, "input": [[7, 6, 7, 5, 7, 7, 8, 8, 7, 7], [7, 6, 7, 5, 7, 7, 8, 7, 7, 7], [7, 6, 6, 5, 7, 7, 8, 7, 7, 7], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 3, 7], [7, 7, 7, 1, 1, 1, 7, 7, 3, 7], [7, 7, 7, 7, 7, 1, 7, 7, 3, 3], [4, 4, 4, 7, 7, 7, 7, 7, 7, 7], [7, 4, 7, 7, 7, 7, 0, 0, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "output": [[7, 6, 7, 5, 7, 7, 8, 8, 7, 7], [7, 6, 7, 5, 7, 7, 8, 7, 7, 7], [7, 6, 6, 5, 7, 7, 8, 7, 7, 7], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 5, 7], [7, 7, 7, 1, 1, 1, 7, 7, 5, 7], [7, 7, 7, 7, 7, 1, 7, 7, 5, 5], [4, 4, 4, 7, 7, 7, 7, 7, 7, 7], [7, 4, 7, 7, 7, 7, 0, 0, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "task_id": "63613498", "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": 83, "input": [[7, 6, 7, 5, 7, 7, 8, 8, 7, 7], [7, 6, 7, 5, 7, 7, 8, 7, 7, 7], [7, 6, 6, 5, 7, 7, 8, 7, 7, 7], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 3, 7], [7, 7, 7, 1, 1, 1, 7, 7, 3, 7], [7, 7, 7, 7, 7, 1, 7, 7, 3, 3], [4, 4, 4, 7, 7, 7, 7, 7, 7, 7], [7, 4, 7, 7, 7, 7, 0, 0, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "output": [[7, 6, 7, 5, 7, 7, 8, 8, 7, 7], [7, 6, 7, 5, 7, 7, 8, 7, 7, 7], [7, 6, 6, 5, 7, 7, 8, 7, 7, 7], [5, 5, 5, 5, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 5, 7], [7, 7, 7, 1, 1, 1, 7, 7, 5, 7], [7, 7, 7, 7, 7, 1, 7, 7, 5, 5], [4, 4, 4, 7, 7, 7, 7, 7, 7, 7], [7, 4, 7, 7, 7, 7, 0, 0, 0, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "task_id": "63613498", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 2 9 9 2 9 9 2 9 2 Output: 9 9 2 2 9 9 9 9 2 2 9 9 2 9 2 2 9 2 Example 2: Input: 9 9 2 9 2 2 2 9 2 Output: 2 9 9 9 9 2 2 2 9 9 2 2 2 9 2 2 9 2 Example 3: Input: 2 2 2 2 2 2 9 9 2 Output: 2 2 2 2 2 2 2 2 2 2 2 2 2 9 9 9 9 2 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 9 2 2 2 2 2 2 9 2	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 2 9 9 2 2\n2 2 2 2 2 2\n2 9 2 2 9 2", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n2 9 9\n2 9 9\n2 9 2\nOutput:\n9 9 2 2 9 9\n9 9 2 2 9 9\n2 9 2 2 9 2\n\nExample 2:\n\nInput:\n9 9 2\n9 2 2\n2 9 2\nOutput:\n2 9 9 9 9 2\n2 2 9 9 2 2\n2 9 2 2 9 2\n\nExample 3:\n\nInput:\n2 2 2\n2 2 2\n9 9 2\nOutput:\n2 2 2 2 2 2\n2 2 2 2 2 2\n2 9 9 9 9 2\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n9 2 2\n2 2 2\n2 9 2\n", "answer": "2 2 9 9 2 2\n2 2 2 2 2 2\n2 9 2 2 9 2", "metadata": {"source_dataset": "arc_agi", "source_index": 84, "input": [[9, 2, 2], [2, 2, 2], [2, 9, 2]], "output": [[2, 2, 9, 9, 2, 2], [2, 2, 2, 2, 2, 2], [2, 9, 2, 2, 9, 2]], "task_id": "8be77c9e", "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": 84, "input": [[9, 2, 2], [2, 2, 2], [2, 9, 2]], "output": [[2, 2, 9, 9, 2, 2], [2, 2, 2, 2, 2, 2], [2, 9, 2, 2, 9, 2]], "task_id": "8be77c9e", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 1 1 0 1 1 0 1 1 2 1 9 9 9 1 9 9 1 9 9 9 9 9 9 1 9 9 0 9 9 9 2 2 1 1 0 1 1 1 0 1 9 9 9 0 9 9 1 9 9 9 9 9 9 1 9 9 2 9 9 9 1 2 1 1 1 0 1 1 2 1 9 9 9 1 9 9 1 9 9 9 9 9 9 1 9 9 2 9 9 9 0 1 2 1 2 1 1 1 1 0 Output: 1 1 0 1 1 0 1 1 2 1 2 2 2 1 0 0 1 0 0 0 2 2 2 1 0 0 0 0 0 0 2 2 1 1 0 1 1 1 0 1 2 2 2 0 0 0 1 2 2 2 2 2 2 1 0 0 2 2 2 2 1 2 1 1 1 0 1 1 2 1 2 2 2 1 2 2 1 2 2 2 2 2 2 1 2 2 2 2 2 2 0 1 2 1 2 1 1 1 1 0 Example 2: Input: 0 1 1 1 2 1 1 1 1 0 9 9 1 9 9 9 9 1 9 9 9 9 1 9 9 9 9 2 9 9 9 9 1 9 9 9 9 1 9 9 1 0 1 1 1 2 1 1 1 0 9 9 1 9 9 9 9 1 9 9 9 9 1 9 9 9 9 1 9 9 9 9 0 9 9 9 9 0 9 9 9 9 1 9 9 9 9 1 9 9 2 1 1 1 0 1 1 1 1 2 Output: 0 1 1 1 2 1 1 1 1 0 0 0 1 2 2 2 2 1 0 0 0 0 1 2 2 2 2 2 0 0 0 0 1 2 2 2 2 1 0 0 1 0 1 1 1 2 1 1 1 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 2 1 1 1 0 1 1 1 1 2 Example 3: Input: 1 2 1 1 1 1 0 1 1 2 9 9 9 1 9 9 9 1 9 9 9 9 9 1 9 9 9 1 9 9 9 9 9 0 9 9 9 1 9 9 9 9 9 1 9 9 9 1 9 9 1 2 1 1 1 1 1 1 2 1 9 9 9 1 9 9 9 1 9 9 9 9 9 1 9 9 9 2 9 9 9 9 9 1 9 9 9 1 9 9 0 1 0 1 1 2 1 1 1 0 Output: 1 2 1 1 1 1 0 1 1 2 2 2 2 1 0 0 0 1 2 2 2 2 2 1 0 0 0 1 2 2 2 2 2 0 0 0 0 1 2 2 2 2 2 1 0 0 0 1 2 2 1 2 1 1 1 1 1 1 2 1 0 0 0 1 2 2 2 1 2 2 0 0 0 1 2 2 2 2 2 2 0 0 0 1 2 2 2 1 2 2 0 1 0 1 1 2 1 1 1 0 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 1 2 1 1 1 1 0 1 1 0 9 9 1 9 9 1 9 9 9 9 9 9 0 9 9 2 9 9 9 9 2 1 1 1 2 1 1 0 2 1 9 9 1 9 9 1 9 9 9 9 9 9 2 9 9 2 9 9 9 9 1 1 1 1 0 1 1 2 0 1 9 9 1 9 9 0 9 9 9 9 9 9 1 9 9 1 9 9 9 9 1 0 1 1 1 1 1 1 0 1	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 2 1 1 1 1 0 1 1 0\n2 2 1 2 2 1 0 0 0 0\n2 2 0 2 2 2 0 0 0 0\n2 1 1 1 2 1 1 0 2 1\n2 2 1 2 2 1 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n1 1 1 1 0 1 1 2 0 1\n0 0 1 0 0 0 0 0 0 0\n0 0 1 0 0 1 0 0 0 0\n1 0 1 1 1 1 1 1 0 1", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n1 1 0 1 1 0 1 1 2 1\n9 9 9 1 9 9 1 9 9 9\n9 9 9 1 9 9 0 9 9 9\n2 2 1 1 0 1 1 1 0 1\n9 9 9 0 9 9 1 9 9 9\n9 9 9 1 9 9 2 9 9 9\n1 2 1 1 1 0 1 1 2 1\n9 9 9 1 9 9 1 9 9 9\n9 9 9 1 9 9 2 9 9 9\n0 1 2 1 2 1 1 1 1 0\nOutput:\n1 1 0 1 1 0 1 1 2 1\n2 2 2 1 0 0 1 0 0 0\n2 2 2 1 0 0 0 0 0 0\n2 2 1 1 0 1 1 1 0 1\n2 2 2 0 0 0 1 2 2 2\n2 2 2 1 0 0 2 2 2 2\n1 2 1 1 1 0 1 1 2 1\n2 2 2 1 2 2 1 2 2 2\n2 2 2 1 2 2 2 2 2 2\n0 1 2 1 2 1 1 1 1 0\n\nExample 2:\n\nInput:\n0 1 1 1 2 1 1 1 1 0\n9 9 1 9 9 9 9 1 9 9\n9 9 1 9 9 9 9 2 9 9\n9 9 1 9 9 9 9 1 9 9\n1 0 1 1 1 2 1 1 1 0\n9 9 1 9 9 9 9 1 9 9\n9 9 1 9 9 9 9 1 9 9\n9 9 0 9 9 9 9 0 9 9\n9 9 1 9 9 9 9 1 9 9\n2 1 1 1 0 1 1 1 1 2\nOutput:\n0 1 1 1 2 1 1 1 1 0\n0 0 1 2 2 2 2 1 0 0\n0 0 1 2 2 2 2 2 0 0\n0 0 1 2 2 2 2 1 0 0\n1 0 1 1 1 2 1 1 1 0\n0 0 1 0 0 0 0 1 0 0\n0 0 1 0 0 0 0 1 0 0\n0 0 0 0 0 0 0 0 0 0\n0 0 1 0 0 0 0 1 0 0\n2 1 1 1 0 1 1 1 1 2\n\nExample 3:\n\nInput:\n1 2 1 1 1 1 0 1 1 2\n9 9 9 1 9 9 9 1 9 9\n9 9 9 1 9 9 9 1 9 9\n9 9 9 0 9 9 9 1 9 9\n9 9 9 1 9 9 9 1 9 9\n1 2 1 1 1 1 1 1 2 1\n9 9 9 1 9 9 9 1 9 9\n9 9 9 1 9 9 9 2 9 9\n9 9 9 1 9 9 9 1 9 9\n0 1 0 1 1 2 1 1 1 0\nOutput:\n1 2 1 1 1 1 0 1 1 2\n2 2 2 1 0 0 0 1 2 2\n2 2 2 1 0 0 0 1 2 2\n2 2 2 0 0 0 0 1 2 2\n2 2 2 1 0 0 0 1 2 2\n1 2 1 1 1 1 1 1 2 1\n0 0 0 1 2 2 2 1 2 2\n0 0 0 1 2 2 2 2 2 2\n0 0 0 1 2 2 2 1 2 2\n0 1 0 1 1 2 1 1 1 0\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n1 2 1 1 1 1 0 1 1 0\n9 9 1 9 9 1 9 9 9 9\n9 9 0 9 9 2 9 9 9 9\n2 1 1 1 2 1 1 0 2 1\n9 9 1 9 9 1 9 9 9 9\n9 9 2 9 9 2 9 9 9 9\n1 1 1 1 0 1 1 2 0 1\n9 9 1 9 9 0 9 9 9 9\n9 9 1 9 9 1 9 9 9 9\n1 0 1 1 1 1 1 1 0 1\n", "answer": "1 2 1 1 1 1 0 1 1 0\n2 2 1 2 2 1 0 0 0 0\n2 2 0 2 2 2 0 0 0 0\n2 1 1 1 2 1 1 0 2 1\n2 2 1 2 2 1 2 2 2 2\n2 2 2 2 2 2 2 2 2 2\n1 1 1 1 0 1 1 2 0 1\n0 0 1 0 0 0 0 0 0 0\n0 0 1 0 0 1 0 0 0 0\n1 0 1 1 1 1 1 1 0 1", "metadata": {"source_dataset": "arc_agi", "source_index": 85, "input": [[1, 2, 1, 1, 1, 1, 0, 1, 1, 0], [9, 9, 1, 9, 9, 1, 9, 9, 9, 9], [9, 9, 0, 9, 9, 2, 9, 9, 9, 9], [2, 1, 1, 1, 2, 1, 1, 0, 2, 1], [9, 9, 1, 9, 9, 1, 9, 9, 9, 9], [9, 9, 2, 9, 9, 2, 9, 9, 9, 9], [1, 1, 1, 1, 0, 1, 1, 2, 0, 1], [9, 9, 1, 9, 9, 0, 9, 9, 9, 9], [9, 9, 1, 9, 9, 1, 9, 9, 9, 9], [1, 0, 1, 1, 1, 1, 1, 1, 0, 1]], "output": [[1, 2, 1, 1, 1, 1, 0, 1, 1, 0], [2, 2, 1, 2, 2, 1, 0, 0, 0, 0], [2, 2, 0, 2, 2, 2, 0, 0, 0, 0], [2, 1, 1, 1, 2, 1, 1, 0, 2, 1], [2, 2, 1, 2, 2, 1, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 1, 1, 1, 0, 1, 1, 2, 0, 1], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 1, 0, 0, 0, 0], [1, 0, 1, 1, 1, 1, 1, 1, 0, 1]], "task_id": "7c8af763", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}	{"source_dataset": "arc_agi", "source_index": 85, "input": [[1, 2, 1, 1, 1, 1, 0, 1, 1, 0], [9, 9, 1, 9, 9, 1, 9, 9, 9, 9], [9, 9, 0, 9, 9, 2, 9, 9, 9, 9], [2, 1, 1, 1, 2, 1, 1, 0, 2, 1], [9, 9, 1, 9, 9, 1, 9, 9, 9, 9], [9, 9, 2, 9, 9, 2, 9, 9, 9, 9], [1, 1, 1, 1, 0, 1, 1, 2, 0, 1], [9, 9, 1, 9, 9, 0, 9, 9, 9, 9], [9, 9, 1, 9, 9, 1, 9, 9, 9, 9], [1, 0, 1, 1, 1, 1, 1, 1, 0, 1]], "output": [[1, 2, 1, 1, 1, 1, 0, 1, 1, 0], [2, 2, 1, 2, 2, 1, 0, 0, 0, 0], [2, 2, 0, 2, 2, 2, 0, 0, 0, 0], [2, 1, 1, 1, 2, 1, 1, 0, 2, 1], [2, 2, 1, 2, 2, 1, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [1, 1, 1, 1, 0, 1, 1, 2, 0, 1], [0, 0, 1, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, 1, 0, 0, 0, 0], [1, 0, 1, 1, 1, 1, 1, 1, 0, 1]], "task_id": "7c8af763", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 9 9 9 1 1 1 1 1 1 1 1 1 1 1 1 1 9 1 9 1 1 1 1 4 1 1 1 1 1 1 1 1 9 9 9 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 8 8 8 1 1 1 1 1 1 1 1 1 1 1 4 1 8 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 8 8 8 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 4 4 4 4 1 1 4 4 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 1 3 3 3 1 1 1 1 1 1 1 2 1 2 1 1 1 3 1 3 1 1 1 1 1 1 1 2 2 2 1 1 1 3 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Output: 8 8 8 8 1 8 8 8 8 Example 2: Input: 1 4 1 1 1 1 1 4 1 1 1 3 3 3 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 3 1 3 1 1 1 1 1 4 1 1 1 1 1 4 1 1 1 3 3 3 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 5 5 5 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 5 5 5 1 4 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 4 1 1 1 1 1 1 2 2 2 1 1 4 4 4 1 4 4 4 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 2 2 2 1 1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1 1 8 8 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 8 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Output: 5 5 5 5 1 5 5 5 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 1 1 1 8 8 8 1 1 1 1 1 1 1 1 1 1 1 8 1 8 1 1 1 1 1 1 1 1 1 1 1 8 8 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 1 1 1 1 1 1 1 1 1 1 1 3 1 3 1 1 1 1 1 1 1 1 1 1 1 3 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 4 1 1 4 4 1 1 9 9 9 1 1 1 1 1 1 1 1 1 1 1 9 1 9 1 1 1 4 1 2 2 2 1 1 1 9 9 9 1 1 1 4 1 2 1 2 1 1 1 1 1 1 1 1 1 4 1 2 2 2 1	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 2 2\n2 1 2\n2 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:\n1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1\n1 9 9 9 1 1 1 1 1 1 1 1 1 1 1 1\n1 9 1 9 1 1 1 1 4 1 1 1 1 1 1 1\n1 9 9 9 1 1 1 1 4 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 4 1 8 8 8 1 1 1\n1 1 1 1 1 1 1 1 4 1 8 1 8 1 1 1\n1 1 1 1 1 1 1 1 1 1 8 8 8 1 1 1\n1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1\n1 1 1 1 0 0 0 1 4 4 4 4 1 1 4 4\n1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1\n1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1\n1 3 3 3 1 1 1 1 1 1 1 2 1 2 1 1\n1 3 1 3 1 1 1 1 1 1 1 2 2 2 1 1\n1 3 3 3 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\nOutput:\n8 8 8\n8 1 8\n8 8 8\n\nExample 2:\n\nInput:\n1 4 1 1 1 1 1 4 1 1 1 3 3 3 1 1 1 1\n1 1 1 1 1 1 1 4 1 1 1 3 1 3 1 1 1 1\n1 4 1 1 1 1 1 4 1 1 1 3 3 3 1 1 1 1\n1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 4 1 5 5 5 1 4 1 1 1 1 1 1 1 1 1 1\n1 1 1 5 1 5 1 1 1 1 1 1 1 1 1 1 1 1\n1 4 1 5 5 5 1 4 1 1 1 1 1 1 1 1 1 1\n1 4 1 1 1 1 1 4 1 1 1 1 1 1 2 2 2 1\n1 4 4 4 1 4 4 4 1 1 1 1 1 1 2 1 2 1\n1 1 1 1 1 1 1 0 0 0 1 1 1 1 2 2 2 1\n1 1 1 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1\n1 1 8 8 8 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 8 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 8 8 8 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\nOutput:\n5 5 5\n5 1 5\n5 5 5\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n1 1 1 8 8 8 1 1 1 1 1 1 1 1\n1 1 1 8 1 8 1 1 1 1 1 1 1 1\n1 1 1 8 8 8 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 3 3 3 1 1\n1 1 1 1 1 1 1 1 1 3 1 3 1 1\n1 1 1 1 1 1 1 1 1 3 3 3 1 1\n1 1 1 1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 4 4 1 1 4 4\n1 1 9 9 9 1 1 1 1 1 1 1 1 1\n1 1 9 1 9 1 1 1 4 1 2 2 2 1\n1 1 9 9 9 1 1 1 4 1 2 1 2 1\n1 1 1 1 1 1 1 1 4 1 2 2 2 1\n", "answer": "2 2 2\n2 1 2\n2 2 2", "metadata": {"source_dataset": "arc_agi", "source_index": 86, "input": [[1, 1, 1, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 8, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 4, 4], [1, 1, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 1, 9, 1, 1, 1, 4, 1, 2, 2, 2, 1], [1, 1, 9, 9, 9, 1, 1, 1, 4, 1, 2, 1, 2, 1], [1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 2, 2, 1]], "output": [[2, 2, 2], [2, 1, 2], [2, 2, 2]], "task_id": "bf699163", "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": 86, "input": [[1, 1, 1, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 8, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 1, 1, 4, 4], [1, 1, 9, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 1, 9, 1, 1, 1, 4, 1, 2, 2, 2, 1], [1, 1, 9, 9, 9, 1, 1, 1, 4, 1, 2, 1, 2, 1], [1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 2, 2, 2, 1]], "output": [[2, 2, 2], [2, 1, 2], [2, 2, 2]], "task_id": "bf699163", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 7 7 7 7 7 7 7 7 7 3 3 3 7 7 7 7 7 7 5 5 5 7 7 5 3 5 7 7 7 7 7 7 8 5 5 7 7 5 5 5 7 7 7 7 7 7 8 8 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 1 5 5 7 7 5 5 5 7 7 5 5 5 7 1 1 5 7 7 5 2 5 7 7 5 5 5 7 1 5 5 7 7 2 2 2 7 7 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 6 6 7 7 7 7 7 7 7 7 7 7 7 5 5 6 7 7 7 7 7 7 7 7 7 7 7 5 5 5 7 7 7 7 7 7 5 5 5 7 7 7 7 7 7 7 0 0 5 7 5 5 4 7 7 7 7 7 7 7 0 5 5 7 5 4 4 7 7 7 5 5 9 7 5 5 5 7 7 7 7 7 7 7 5 9 9 7 7 7 7 7 7 7 7 7 7 7 5 5 9 Output: 0 0 5 3 3 3 5 6 6 0 5 5 5 3 5 5 5 6 5 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 9 1 1 5 5 5 5 5 9 9 1 5 5 5 5 5 5 5 9 5 5 5 5 5 5 5 5 5 8 5 5 5 2 5 5 5 4 8 8 5 2 2 2 5 4 4 Example 2: Input: 5 6 6 7 7 7 7 7 7 7 5 5 5 7 5 5 6 7 7 7 7 7 7 7 1 5 5 7 5 5 5 7 7 7 5 5 0 7 1 1 5 7 7 7 7 7 7 7 5 0 0 7 7 7 7 7 7 5 5 5 7 7 5 5 0 7 7 7 7 7 7 5 5 2 7 7 7 7 7 7 9 9 9 7 7 5 2 2 7 7 5 5 5 7 5 9 5 7 7 7 7 7 7 7 5 5 5 7 5 5 5 7 7 7 3 5 5 7 5 5 5 7 7 7 7 7 7 7 3 3 5 7 7 7 7 7 7 7 7 7 7 7 3 5 5 7 7 7 5 5 5 7 7 7 4 4 5 7 7 7 7 7 5 3 5 7 7 7 4 5 5 7 7 7 7 7 3 3 3 7 7 7 5 5 5 7 7 7 7 7 7 7 7 7 7 7 Output: 4 4 5 9 9 9 5 6 6 4 5 5 5 9 5 5 5 6 5 5 5 5 5 5 5 5 5 3 5 5 5 5 5 5 5 0 3 3 5 5 5 5 5 0 0 3 5 5 5 5 5 5 5 0 5 5 5 5 5 5 5 5 5 1 5 5 5 3 5 5 5 2 1 1 5 3 3 3 5 2 2 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 8 8 7 7 7 7 7 7 7 7 7 7 7 7 5 5 8 7 7 7 7 7 7 7 5 5 5 7 7 5 5 5 7 7 5 5 5 7 7 5 5 9 7 7 7 7 7 7 7 0 5 5 7 7 5 9 9 7 7 7 7 7 7 7 0 0 5 7 7 7 7 7 7 7 5 5 2 7 7 7 7 7 7 7 7 4 4 4 7 5 2 2 7 7 7 7 7 7 7 7 5 4 5 7 5 5 2 7 5 5 5 7 7 7 7 5 5 5 7 7 7 7 7 5 5 5 7 7 7 7 7 7 7 7 7 7 7 7 5 5 5 7 7 7 7 7 7 7 5 5 5 7 7 7 7 7 7 7 7 2 5 5 7 5 3 5 7 7 7 7 7 7 7 7 2 2 5 7 3 3 3 7 7 1 1 5 7 7 7 2 5 5 7 7 7 7 7 7 1 5 5 7 7 7 7 7 7 7 7 7 7 7 7 5 5 5 7 7	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 1 5 4 4 4 5 8 8\n1 5 5 5 4 5 5 5 8\n5 5 5 5 5 5 5 5 5\n2 5 5 5 5 5 5 5 2\n2 2 5 5 5 5 5 2 2\n2 5 5 5 5 5 5 5 2\n5 5 5 5 5 5 5 5 5\n0 5 5 5 3 5 5 5 9\n0 0 5 3 3 3 5 9 9", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n7 7 7 7 7 7 7 7 7 3 3 3 7 7\n7 7 7 7 5 5 5 7 7 5 3 5 7 7\n7 7 7 7 8 5 5 7 7 5 5 5 7 7\n7 7 7 7 8 8 5 7 7 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 1 5 5 7\n7 5 5 5 7 7 5 5 5 7 1 1 5 7\n7 5 2 5 7 7 5 5 5 7 1 5 5 7\n7 2 2 2 7 7 5 5 5 7 7 7 7 7\n7 7 7 7 7 7 7 7 7 7 5 6 6 7\n7 7 7 7 7 7 7 7 7 7 5 5 6 7\n7 7 7 7 7 7 7 7 7 7 5 5 5 7\n7 7 7 7 7 5 5 5 7 7 7 7 7 7\n7 0 0 5 7 5 5 4 7 7 7 7 7 7\n7 0 5 5 7 5 4 4 7 7 7 5 5 9\n7 5 5 5 7 7 7 7 7 7 7 5 9 9\n7 7 7 7 7 7 7 7 7 7 7 5 5 9\nOutput:\n0 0 5 3 3 3 5 6 6\n0 5 5 5 3 5 5 5 6\n5 5 5 5 5 5 5 5 5\n1 5 5 5 5 5 5 5 9\n1 1 5 5 5 5 5 9 9\n1 5 5 5 5 5 5 5 9\n5 5 5 5 5 5 5 5 5\n8 5 5 5 2 5 5 5 4\n8 8 5 2 2 2 5 4 4\n\nExample 2:\n\nInput:\n5 6 6 7 7 7 7 7 7 7 5 5 5 7\n5 5 6 7 7 7 7 7 7 7 1 5 5 7\n5 5 5 7 7 7 5 5 0 7 1 1 5 7\n7 7 7 7 7 7 5 0 0 7 7 7 7 7\n7 5 5 5 7 7 5 5 0 7 7 7 7 7\n7 5 5 2 7 7 7 7 7 7 9 9 9 7\n7 5 2 2 7 7 5 5 5 7 5 9 5 7\n7 7 7 7 7 7 5 5 5 7 5 5 5 7\n7 7 3 5 5 7 5 5 5 7 7 7 7 7\n7 7 3 3 5 7 7 7 7 7 7 7 7 7\n7 7 3 5 5 7 7 7 5 5 5 7 7 7\n4 4 5 7 7 7 7 7 5 3 5 7 7 7\n4 5 5 7 7 7 7 7 3 3 3 7 7 7\n5 5 5 7 7 7 7 7 7 7 7 7 7 7\nOutput:\n4 4 5 9 9 9 5 6 6\n4 5 5 5 9 5 5 5 6\n5 5 5 5 5 5 5 5 5\n3 5 5 5 5 5 5 5 0\n3 3 5 5 5 5 5 0 0\n3 5 5 5 5 5 5 5 0\n5 5 5 5 5 5 5 5 5\n1 5 5 5 3 5 5 5 2\n1 1 5 3 3 3 5 2 2\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n7 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 7 5 8 8 7 7 7 7 7 7\n7 7 7 7 7 7 5 5 8 7 7 7 7 7 7\n7 5 5 5 7 7 5 5 5 7 7 5 5 5 7\n7 5 5 9 7 7 7 7 7 7 7 0 5 5 7\n7 5 9 9 7 7 7 7 7 7 7 0 0 5 7\n7 7 7 7 7 7 5 5 2 7 7 7 7 7 7\n7 7 4 4 4 7 5 2 2 7 7 7 7 7 7\n7 7 5 4 5 7 5 5 2 7 5 5 5 7 7\n7 7 5 5 5 7 7 7 7 7 5 5 5 7 7\n7 7 7 7 7 7 7 7 7 7 5 5 5 7 7\n7 7 7 7 7 5 5 5 7 7 7 7 7 7 7\n7 2 5 5 7 5 3 5 7 7 7 7 7 7 7\n7 2 2 5 7 3 3 3 7 7 1 1 5 7 7\n7 2 5 5 7 7 7 7 7 7 1 5 5 7 7\n7 7 7 7 7 7 7 7 7 7 5 5 5 7 7\n", "answer": "1 1 5 4 4 4 5 8 8\n1 5 5 5 4 5 5 5 8\n5 5 5 5 5 5 5 5 5\n2 5 5 5 5 5 5 5 2\n2 2 5 5 5 5 5 2 2\n2 5 5 5 5 5 5 5 2\n5 5 5 5 5 5 5 5 5\n0 5 5 5 3 5 5 5 9\n0 0 5 3 3 3 5 9 9", "metadata": {"source_dataset": "arc_agi", "source_index": 87, "input": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 5, 8, 8, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 5, 5, 8, 7, 7, 7, 7, 7, 7], [7, 5, 5, 5, 7, 7, 5, 5, 5, 7, 7, 5, 5, 5, 7], [7, 5, 5, 9, 7, 7, 7, 7, 7, 7, 7, 0, 5, 5, 7], [7, 5, 9, 9, 7, 7, 7, 7, 7, 7, 7, 0, 0, 5, 7], [7, 7, 7, 7, 7, 7, 5, 5, 2, 7, 7, 7, 7, 7, 7], [7, 7, 4, 4, 4, 7, 5, 2, 2, 7, 7, 7, 7, 7, 7], [7, 7, 5, 4, 5, 7, 5, 5, 2, 7, 5, 5, 5, 7, 7], [7, 7, 5, 5, 5, 7, 7, 7, 7, 7, 5, 5, 5, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 7, 7], [7, 7, 7, 7, 7, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7], [7, 2, 5, 5, 7, 5, 3, 5, 7, 7, 7, 7, 7, 7, 7], [7, 2, 2, 5, 7, 3, 3, 3, 7, 7, 1, 1, 5, 7, 7], [7, 2, 5, 5, 7, 7, 7, 7, 7, 7, 1, 5, 5, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 7, 7]], "output": [[1, 1, 5, 4, 4, 4, 5, 8, 8], [1, 5, 5, 5, 4, 5, 5, 5, 8], [5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 5, 5, 5, 5, 5, 5, 5, 2], [2, 2, 5, 5, 5, 5, 5, 2, 2], [2, 5, 5, 5, 5, 5, 5, 5, 2], [5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 5, 5, 5, 3, 5, 5, 5, 9], [0, 0, 5, 3, 3, 3, 5, 9, 9]], "task_id": "a8c38be5", "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": 87, "input": [[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 5, 8, 8, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 5, 5, 8, 7, 7, 7, 7, 7, 7], [7, 5, 5, 5, 7, 7, 5, 5, 5, 7, 7, 5, 5, 5, 7], [7, 5, 5, 9, 7, 7, 7, 7, 7, 7, 7, 0, 5, 5, 7], [7, 5, 9, 9, 7, 7, 7, 7, 7, 7, 7, 0, 0, 5, 7], [7, 7, 7, 7, 7, 7, 5, 5, 2, 7, 7, 7, 7, 7, 7], [7, 7, 4, 4, 4, 7, 5, 2, 2, 7, 7, 7, 7, 7, 7], [7, 7, 5, 4, 5, 7, 5, 5, 2, 7, 5, 5, 5, 7, 7], [7, 7, 5, 5, 5, 7, 7, 7, 7, 7, 5, 5, 5, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 7, 7], [7, 7, 7, 7, 7, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7], [7, 2, 5, 5, 7, 5, 3, 5, 7, 7, 7, 7, 7, 7, 7], [7, 2, 2, 5, 7, 3, 3, 3, 7, 7, 1, 1, 5, 7, 7], [7, 2, 5, 5, 7, 7, 7, 7, 7, 7, 1, 5, 5, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 7, 7]], "output": [[1, 1, 5, 4, 4, 4, 5, 8, 8], [1, 5, 5, 5, 4, 5, 5, 5, 8], [5, 5, 5, 5, 5, 5, 5, 5, 5], [2, 5, 5, 5, 5, 5, 5, 5, 2], [2, 2, 5, 5, 5, 5, 5, 2, 2], [2, 5, 5, 5, 5, 5, 5, 5, 2], [5, 5, 5, 5, 5, 5, 5, 5, 5], [0, 5, 5, 5, 3, 5, 5, 5, 9], [0, 0, 5, 3, 3, 3, 5, 9, 9]], "task_id": "a8c38be5", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 6 6 6 6 3 6 6 6 6 6 6 5 6 6 6 6 6 6 6 3 6 6 6 6 6 6 5 6 6 6 6 6 6 6 3 6 6 6 6 6 6 5 6 6 6 6 5 6 6 3 6 6 6 6 3 6 5 6 6 6 6 6 6 6 3 6 6 6 6 6 6 5 6 0 6 6 6 6 6 3 6 6 6 6 6 6 5 6 6 6 6 6 6 6 3 6 6 6 6 6 6 5 6 6 6 6 6 6 6 3 6 6 5 6 6 6 5 6 6 6 6 6 6 6 3 6 6 6 6 6 6 5 6 6 6 6 6 6 6 3 6 6 6 6 6 6 5 6 6 6 6 6 6 6 3 6 6 6 6 6 6 5 6 6 5 6 3 6 6 3 6 6 6 6 6 6 5 6 6 6 6 6 6 6 3 6 6 6 6 6 6 5 6 6 6 6 6 6 6 3 6 6 6 6 6 6 5 6 6 6 Output: 6 6 6 6 3 6 6 6 6 6 6 5 6 6 6 6 6 6 6 3 6 6 6 6 6 6 5 6 6 6 6 6 6 6 3 6 6 6 6 6 6 5 6 6 6 6 6 6 6 3 3 6 6 6 6 5 5 6 6 6 6 6 6 6 3 6 6 6 6 6 6 5 6 6 6 6 6 6 6 3 6 6 6 6 6 6 5 6 6 6 6 6 6 6 3 6 6 6 6 6 6 5 6 6 6 6 6 6 6 3 6 6 6 6 6 5 5 6 6 6 6 6 6 6 3 6 6 6 6 6 6 5 6 6 6 6 6 6 6 3 6 6 6 6 6 6 5 6 6 6 6 6 6 6 3 6 6 6 6 6 6 5 5 6 6 6 6 6 3 3 6 6 6 6 6 6 5 6 6 6 6 6 6 6 3 6 6 6 6 6 6 5 6 6 6 6 6 6 6 3 6 6 6 6 6 6 5 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 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 0 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Output: 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 6 6 6 6 6 6 6 6 6 0 6 6 6 0 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 9 6 6 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 Example 3: Input: 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 3 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 1 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 1 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 1 6 6 6 6 6 6 1 6 6 6 3 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 Output: 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 1 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 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 0 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 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\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 0 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n6 6 6 6 6 6 6 6 6 6 6 0 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\n6 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\n6 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\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n6 6 6 9 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\n6 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\n6 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 5 6 6\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n6 6 6 6 6 6 6 6 5 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\n6 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", "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 3 6 6 6 6 6 6 5 6 6 6\n6 6 6 6 3 6 6 6 6 6 6 5 6 6 6\n6 6 6 6 3 6 6 6 6 6 6 5 6 6 6\n6 5 6 6 3 6 6 6 6 3 6 5 6 6 6\n6 6 6 6 3 6 6 6 6 6 6 5 6 0 6\n6 6 6 6 3 6 6 6 6 6 6 5 6 6 6\n6 6 6 6 3 6 6 6 6 6 6 5 6 6 6\n6 6 6 6 3 6 6 5 6 6 6 5 6 6 6\n6 6 6 6 3 6 6 6 6 6 6 5 6 6 6\n6 6 6 6 3 6 6 6 6 6 6 5 6 6 6\n6 6 6 6 3 6 6 6 6 6 6 5 6 6 5\n6 3 6 6 3 6 6 6 6 6 6 5 6 6 6\n6 6 6 6 3 6 6 6 6 6 6 5 6 6 6\n6 6 6 6 3 6 6 6 6 6 6 5 6 6 6\nOutput:\n6 6 6 6 3 6 6 6 6 6 6 5 6 6 6\n6 6 6 6 3 6 6 6 6 6 6 5 6 6 6\n6 6 6 6 3 6 6 6 6 6 6 5 6 6 6\n6 6 6 6 3 3 6 6 6 6 5 5 6 6 6\n6 6 6 6 3 6 6 6 6 6 6 5 6 6 6\n6 6 6 6 3 6 6 6 6 6 6 5 6 6 6\n6 6 6 6 3 6 6 6 6 6 6 5 6 6 6\n6 6 6 6 3 6 6 6 6 6 5 5 6 6 6\n6 6 6 6 3 6 6 6 6 6 6 5 6 6 6\n6 6 6 6 3 6 6 6 6 6 6 5 6 6 6\n6 6 6 6 3 6 6 6 6 6 6 5 5 6 6\n6 6 6 3 3 6 6 6 6 6 6 5 6 6 6\n6 6 6 6 3 6 6 6 6 6 6 5 6 6 6\n6 6 6 6 3 6 6 6 6 6 6 5 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\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 9 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\n6 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\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n6 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\n6 6 6 6 6 6 6 6 6 6 0 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\n6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6\n6 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\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n6 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 0 6 6 6\n6 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\n6 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\n6 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\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n6 6 6 6 6 6 6 6 6 6 0 6 6 6 0 6 6 6\n6 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\n6 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\n6 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\n6 6 6 6 6 6 9 6 6 6 6 6 6 6 9 6 6 6\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n6 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\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n\nExample 3:\n\nInput:\n6 6 6 6 6 6 6 6 6 1 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 1 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 1 6 6 6 6 6\n6 3 6 6 6 6 6 6 6 1 6 6 6 6 6\n6 6 6 6 6 6 1 6 6 1 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 1 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 1 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 1 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 1 6 6 6 1 6\n6 6 6 6 6 6 6 6 6 1 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 1 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 1 6 6 6 6 6\n6 6 1 6 6 6 6 6 6 1 6 6 6 3 6\n6 6 6 6 6 6 6 6 6 1 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 1 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 1 6 6 6 6 6\nOutput:\n6 6 6 6 6 6 6 6 6 1 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 1 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 1 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 1 6 6 6 6 6\n6 6 6 6 6 6 6 6 1 1 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 1 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 1 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 1 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 1 1 6 6 6 6\n6 6 6 6 6 6 6 6 6 1 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 1 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 1 6 6 6 6 6\n6 6 6 6 6 6 6 6 1 1 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 1 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 1 6 6 6 6 6\n6 6 6 6 6 6 6 6 6 1 6 6 6 6 6\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 0 6 6 6 6 6 6 6 6 6 6 1 6 6 6 6\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 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\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n6 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\n6 6 6 6 6 6 6 1 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 5 6 6\n6 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\n6 6 6 6 6 6 6 6 6 9 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\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n6 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 1 6 6 6 6 6\n6 6 6 9 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\n6 6 6 6 6 6 6 6 6 6 6 0 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\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 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 5 6 6 6 6 6 6 6 6 6 6\n6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n", "answer": "6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 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\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 6 6 0 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n6 6 6 6 6 6 6 6 6 6 6 0 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\n6 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\n6 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\n6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6\n6 9 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6\n9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9\n6 6 6 9 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\n6 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\n6 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 5 6 6\n5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5\n6 6 6 6 6 6 6 6 5 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\n6 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", "metadata": {"source_dataset": "arc_agi", "source_index": 88, "input": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6], [6, 6, 6, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "output": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 9, 6, 6, 6, 6, 6, 6, 6, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_id": "1a07d186", "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": 88, "input": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6], [6, 6, 6, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 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], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "output": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 9, 6, 6, 6, 6, 6, 6, 6, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [6, 6, 6, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_id": "1a07d186", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 4 4 4 4 4 4 4 4 1 1 4 4 4 4 4 4 1 1 4 4 4 4 4 4 4 4 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 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 8 8 4 4 4 4 4 4 4 4 4 4 4 4 1 1 4 4 4 4 4 4 4 4 1 1 4 4 4 4 4 4 1 1 4 4 4 4 4 4 4 4 1 1 4 4 4 4 4 4 4 4 4 4 4 4 8 8 4 4 4 4 4 4 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 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 1 4 4 4 4 4 4 4 4 4 4 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 4 4 4 4 4 4 4 4 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Output: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 1 4 4 4 4 4 4 4 4 4 4 1 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4 4 4 4 1 4 4 4 4 4 4 4 4 1 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4 4 4 4 Example 3: Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 4 4 4 4 4 4 4 4 4 4 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Output: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 1 4 4 4 4 4 4 4 4 4 4 1 4 4 4 4 4 4 4 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 4 4 4 4 4 4 4 1 1 1 4 4 4 4 4 4 4 1 1 1 4 4 4 4 1 1 1 4 4 4 4 4 4 4 1 1 1 4 4 4 4 4 4 4 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "8 8 4 4 4 4 4 4 4 4\n8 8 4 4 4 4 4 4 4 4\n8 8 4 4 4 4 4 4 4 4\n4 4 4 4 4 1 1 1 4 4\n4 4 4 4 4 1 1 1 4 4\n4 4 4 4 4 1 1 1 4 4\n4 4 1 1 1 4 4 4 4 4\n4 4 1 1 1 4 4 4 4 4\n4 4 1 1 1 4 4 4 4 4\n4 4 4 4 4 4 4 4 8 8", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 1 1 4 4 4\n4 4 4 4 4 1 1 4 4 4\n4 4 4 1 1 4 4 4 4 4\n4 4 4 1 1 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 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 8 8 4 4 4 4 4 4 4\n4 4 4 4 4 1 1 4 4 4\n4 4 4 4 4 1 1 4 4 4\n4 4 4 1 1 4 4 4 4 4\n4 4 4 1 1 4 4 4 4 4\n4 4 4 4 4 4 4 8 8 4\n4 4 4 4 4 4 4 8 8 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n\nExample 2:\n\nInput:\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 1 4 4 4 4 4 4\n4 4 4 4 1 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 1 4 4\n4 4 4 4 4 4 1 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\nOutput:\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 8 4 4 4 4\n4 4 4 1 4 4 4 4 4 4\n4 4 4 4 1 4 4 4 4 4\n4 4 8 4 4 4 4 4 4 4\n4 4 4 4 4 8 4 4 4 4\n4 4 4 4 4 4 4 1 4 4\n4 4 4 4 4 4 1 4 4 4\n4 4 4 4 4 4 4 4 8 4\n4 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 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 1 4 4 4 4 4 4\n4 4 4 4 1 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\nOutput:\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 8 4 4 4 4\n4 4 4 1 4 4 4 4 4 4\n4 4 4 4 1 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\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 1 1 1 4 4\n4 4 4 4 4 1 1 1 4 4\n4 4 4 4 4 1 1 1 4 4\n4 4 1 1 1 4 4 4 4 4\n4 4 1 1 1 4 4 4 4 4\n4 4 1 1 1 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4\n", "answer": "8 8 4 4 4 4 4 4 4 4\n8 8 4 4 4 4 4 4 4 4\n8 8 4 4 4 4 4 4 4 4\n4 4 4 4 4 1 1 1 4 4\n4 4 4 4 4 1 1 1 4 4\n4 4 4 4 4 1 1 1 4 4\n4 4 1 1 1 4 4 4 4 4\n4 4 1 1 1 4 4 4 4 4\n4 4 1 1 1 4 4 4 4 4\n4 4 4 4 4 4 4 4 8 8", "metadata": {"source_dataset": "arc_agi", "source_index": 89, "input": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 1, 1, 1, 4, 4], [4, 4, 4, 4, 4, 1, 1, 1, 4, 4], [4, 4, 4, 4, 4, 1, 1, 1, 4, 4], [4, 4, 1, 1, 1, 4, 4, 4, 4, 4], [4, 4, 1, 1, 1, 4, 4, 4, 4, 4], [4, 4, 1, 1, 1, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "output": [[8, 8, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 1, 1, 1, 4, 4], [4, 4, 4, 4, 4, 1, 1, 1, 4, 4], [4, 4, 4, 4, 4, 1, 1, 1, 4, 4], [4, 4, 1, 1, 1, 4, 4, 4, 4, 4], [4, 4, 1, 1, 1, 4, 4, 4, 4, 4], [4, 4, 1, 1, 1, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8]], "task_id": "22233c11", "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": 89, "input": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 1, 1, 1, 4, 4], [4, 4, 4, 4, 4, 1, 1, 1, 4, 4], [4, 4, 4, 4, 4, 1, 1, 1, 4, 4], [4, 4, 1, 1, 1, 4, 4, 4, 4, 4], [4, 4, 1, 1, 1, 4, 4, 4, 4, 4], [4, 4, 1, 1, 1, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "output": [[8, 8, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 4, 4, 4, 4, 4, 4, 4, 4], [8, 8, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 1, 1, 1, 4, 4], [4, 4, 4, 4, 4, 1, 1, 1, 4, 4], [4, 4, 4, 4, 4, 1, 1, 1, 4, 4], [4, 4, 1, 1, 1, 4, 4, 4, 4, 4], [4, 4, 1, 1, 1, 4, 4, 4, 4, 4], [4, 4, 1, 1, 1, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 8, 8]], "task_id": "22233c11", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 1 7 1 7 1 1 1 7 1 1 1 1 1 7 1 7 1 1 7 7 7 1 7 7 2 2 2 2 2 7 7 7 7 7 2 2 7 7 7 2 2 7 7 7 2 2 7 7 Output: 5 5 5 5 5 5 5 7 5 5 5 5 5 7 5 5 5 5 7 7 5 5 7 7 Example 2: Input: 1 7 7 7 1 1 1 7 7 1 1 1 1 7 7 1 7 1 1 1 1 7 7 7 7 7 7 2 2 7 2 7 7 7 2 7 7 2 7 7 2 7 2 2 2 2 7 2 Output: 5 7 7 5 5 5 5 7 7 5 5 5 5 5 7 5 5 5 5 5 5 5 7 5 Example 3: Input: 7 1 1 7 1 7 7 7 1 1 1 1 1 1 1 7 1 1 1 1 7 1 1 1 2 7 7 7 2 7 2 7 7 2 2 7 2 2 7 2 7 2 2 2 2 2 7 7 Output: 5 5 5 7 5 7 5 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 Example 4: Input: 1 1 7 1 1 7 7 7 1 7 1 7 7 7 7 7 7 7 7 7 7 1 7 1 7 2 7 2 2 7 7 7 2 7 2 2 7 7 7 7 7 2 7 2 7 2 2 2 Output: 5 5 7 5 5 7 7 7 5 7 5 5 7 7 7 7 7 5 7 5 7 5 5 5 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 1 1 7 7 1 1 1 1 1 7 7 1 7 7 1 7 1 7 7 1 7 7 7 7 7 2 2 2 2 7 2 2 2 2 7 2 7 7 7 2 7 2 7 2 2 2 7 2	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "5 5 5 5\n5 5 5 5\n5 5 7 5\n7 7 5 5\n5 5 7 5\n5 5 7 5", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n1 7 1 7\n1 1 1 7\n1 1 1 1\n1 7 1 7\n1 1 7 7\n7 1 7 7\n2 2 2 2\n2 7 7 7\n7 7 2 2\n7 7 7 2\n2 7 7 7\n2 2 7 7\nOutput:\n5 5 5 5\n5 5 5 7\n5 5 5 5\n5 7 5 5\n5 5 7 7\n5 5 7 7\n\nExample 2:\n\nInput:\n1 7 7 7\n1 1 1 7\n7 1 1 1\n1 7 7 1\n7 1 1 1\n1 7 7 7\n7 7 7 2\n2 7 2 7\n7 7 2 7\n7 2 7 7\n2 7 2 2\n2 2 7 2\nOutput:\n5 7 7 5\n5 5 5 7\n7 5 5 5\n5 5 7 5\n5 5 5 5\n5 5 7 5\n\nExample 3:\n\nInput:\n7 1 1 7\n1 7 7 7\n1 1 1 1\n1 1 1 7\n1 1 1 1\n7 1 1 1\n2 7 7 7\n2 7 2 7\n7 2 2 7\n2 2 7 2\n7 2 2 2\n2 2 7 7\nOutput:\n5 5 5 7\n5 7 5 7\n5 5 5 5\n5 5 5 5\n5 5 5 5\n5 5 5 5\n\nExample 4:\n\nInput:\n1 1 7 1\n1 7 7 7\n1 7 1 7\n7 7 7 7\n7 7 7 7\n7 1 7 1\n7 2 7 2\n2 7 7 7\n2 7 2 2\n7 7 7 7\n7 2 7 2\n7 2 2 2\nOutput:\n5 5 7 5\n5 7 7 7\n5 7 5 5\n7 7 7 7\n7 5 7 5\n7 5 5 5\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n1 1 7 7\n1 1 1 1\n1 7 7 1\n7 7 1 7\n1 7 7 1\n7 7 7 7\n7 2 2 2\n2 7 2 2\n2 2 7 2\n7 7 7 2\n7 2 7 2\n2 2 7 2\n", "answer": "5 5 5 5\n5 5 5 5\n5 5 7 5\n7 7 5 5\n5 5 7 5\n5 5 7 5", "metadata": {"source_dataset": "arc_agi", "source_index": 90, "input": [[1, 1, 7, 7], [1, 1, 1, 1], [1, 7, 7, 1], [7, 7, 1, 7], [1, 7, 7, 1], [7, 7, 7, 7], [7, 2, 2, 2], [2, 7, 2, 2], [2, 2, 7, 2], [7, 7, 7, 2], [7, 2, 7, 2], [2, 2, 7, 2]], "output": [[5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 7, 5], [7, 7, 5, 5], [5, 5, 7, 5], [5, 5, 7, 5]], "task_id": "d19f7514", "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": 90, "input": [[1, 1, 7, 7], [1, 1, 1, 1], [1, 7, 7, 1], [7, 7, 1, 7], [1, 7, 7, 1], [7, 7, 7, 7], [7, 2, 2, 2], [2, 7, 2, 2], [2, 2, 7, 2], [7, 7, 7, 2], [7, 2, 7, 2], [2, 2, 7, 2]], "output": [[5, 5, 5, 5], [5, 5, 5, 5], [5, 5, 7, 5], [7, 7, 5, 5], [5, 5, 7, 5], [5, 5, 7, 5]], "task_id": "d19f7514", "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 9 9 9 9 9 9 9 9 9 9 2 2 9 9 9 2 2 9 9 9 9 2 2 2 2 9 9 2 2 2 9 9 2 2 2 2 2 2 2 2 2 2 9 9 2 2 2 2 2 2 2 2 2 2 9 9 2 2 2 2 2 2 2 2 2 2 0 9 2 2 2 2 2 2 2 2 2 2 0 9 2 2 2 2 2 2 2 2 2 2 0 9 2 2 2 2 2 2 2 2 2 2 0 9 2 2 2 2 0 2 2 0 0 2 0 9 2 2 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Output: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 4 2 9 9 9 2 2 9 9 9 9 2 4 2 2 9 9 2 2 2 9 9 4 4 4 4 4 4 4 4 4 4 9 9 4 4 4 4 4 4 4 4 4 4 9 9 4 4 4 4 4 4 4 4 4 4 0 9 4 4 4 4 4 4 4 4 4 4 0 9 4 4 4 4 4 4 4 4 4 4 0 9 4 4 4 4 4 4 4 4 4 4 0 9 2 2 4 2 0 2 2 0 0 2 0 9 2 2 4 0 0 2 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 2 0 2 2 0 2 2 0 0 0 0 2 2 2 2 2 2 2 2 2 0 0 0 2 2 2 2 2 2 2 2 2 2 9 0 0 2 2 2 2 2 2 2 2 2 9 0 0 2 2 2 2 2 2 2 2 2 9 0 0 0 2 2 2 2 2 2 2 2 9 0 2 2 2 2 2 2 2 2 2 2 9 0 2 2 2 2 2 2 9 2 2 2 9 0 0 2 2 2 2 2 9 9 2 2 9 0 2 2 2 2 2 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 4 4 0 2 2 0 0 0 0 2 2 2 4 4 2 2 2 2 0 0 0 4 4 4 4 4 4 4 4 4 4 9 0 0 2 2 4 4 2 2 2 2 2 9 0 0 2 2 4 4 2 2 2 2 2 9 0 0 0 2 4 4 2 2 2 2 2 9 0 4 4 4 4 4 4 4 4 4 4 9 0 2 2 2 4 4 2 9 2 2 2 9 0 0 2 2 4 4 2 9 9 2 2 9 0 2 2 2 4 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Example 3: Input: 9 0 0 0 0 0 0 0 0 0 9 0 2 2 2 0 0 0 0 0 9 2 2 2 2 2 0 0 2 0 9 2 2 2 2 2 2 2 2 0 9 2 2 2 2 2 2 2 2 0 9 2 2 2 2 2 2 2 0 0 9 9 2 2 2 2 2 2 0 0 9 9 2 2 9 2 2 2 2 0 9 9 9 2 9 9 2 9 2 0 9 9 9 9 9 9 9 9 9 0 Output: 9 0 0 0 0 0 0 0 0 0 9 0 2 4 2 0 0 0 0 0 9 2 2 4 2 2 0 0 2 0 9 4 4 4 4 4 4 4 4 0 9 4 4 4 4 4 4 4 4 0 9 2 2 4 2 2 2 2 0 0 9 9 2 4 2 2 2 2 0 0 9 9 2 4 9 2 2 2 2 0 9 9 9 4 9 9 2 9 2 0 9 9 9 9 9 9 9 9 9 0 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 9 0 0 0 0 0 0 0 0 0 0 0 0 0 9 9 2 0 2 0 0 2 2 2 2 0 0 0 9 9 2 2 2 2 2 2 2 2 2 2 0 0 9 2 2 2 2 2 2 2 2 2 2 2 2 0 9 9 2 2 2 2 2 2 2 2 2 2 2 0 9 9 2 2 2 2 2 2 2 2 2 2 2 0 9 9 2 2 2 2 2 2 2 2 2 2 2 0 9 2 2 2 2 2 2 2 2 2 2 2 2 0 9 9 2 2 2 2 2 2 2 2 2 0 0 0 9 9 9 2 2 2 2 2 2 2 2 2 0 0 9 2 2 2 2 2 2 2 2 2 2 2 2 0 9 9 9 2 2 2 2 2 2 2 2 2 2 0 9 9 9 9 2 2 9 9 9 2 2 9 0 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "9 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 2 0 4 0 0 2 2 4 4 0 0 0\n9 9 2 2 4 2 2 2 2 4 4 2 0 0\n9 4 4 4 4 4 4 4 4 4 4 4 4 0\n9 9 2 2 4 2 2 2 2 4 4 2 2 0\n9 9 2 2 4 2 2 2 2 4 4 2 2 0\n9 9 2 2 4 2 2 2 2 4 4 2 2 0\n9 4 4 4 4 4 4 4 4 4 4 4 4 0\n9 9 2 2 4 2 2 2 2 4 4 0 0 0\n9 9 9 2 4 2 2 2 2 4 4 2 0 0\n9 4 4 4 4 4 4 4 4 4 4 4 4 0\n9 9 9 2 4 2 2 2 2 4 4 2 2 0\n9 9 9 9 4 2 9 9 9 4 4 9 0 0\n9 9 9 9 9 9 9 9 9 9 9 9 9 9", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 2 2 9 9 9 2 2 9 9\n9 9 2 2 2 2 9 9 2 2 2 9\n9 2 2 2 2 2 2 2 2 2 2 9\n9 2 2 2 2 2 2 2 2 2 2 9\n9 2 2 2 2 2 2 2 2 2 2 0\n9 2 2 2 2 2 2 2 2 2 2 0\n9 2 2 2 2 2 2 2 2 2 2 0\n9 2 2 2 2 2 2 2 2 2 2 0\n9 2 2 2 2 0 2 2 0 0 2 0\n9 2 2 2 0 0 2 0 0 0 0 0\n0 0 0 0 0 0 0 0 0 0 0 0\nOutput:\n9 9 9 9 9 9 9 9 9 9 9 9\n9 9 9 4 2 9 9 9 2 2 9 9\n9 9 2 4 2 2 9 9 2 2 2 9\n9 4 4 4 4 4 4 4 4 4 4 9\n9 4 4 4 4 4 4 4 4 4 4 9\n9 4 4 4 4 4 4 4 4 4 4 0\n9 4 4 4 4 4 4 4 4 4 4 0\n9 4 4 4 4 4 4 4 4 4 4 0\n9 4 4 4 4 4 4 4 4 4 4 0\n9 2 2 4 2 0 2 2 0 0 2 0\n9 2 2 4 0 0 2 0 0 0 0 0\n0 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\n0 0 2 0 2 2 0 2 2 0 0 0\n0 2 2 2 2 2 2 2 2 2 0 0\n0 2 2 2 2 2 2 2 2 2 2 9\n0 0 2 2 2 2 2 2 2 2 2 9\n0 0 2 2 2 2 2 2 2 2 2 9\n0 0 0 2 2 2 2 2 2 2 2 9\n0 2 2 2 2 2 2 2 2 2 2 9\n0 2 2 2 2 2 2 9 2 2 2 9\n0 0 2 2 2 2 2 9 9 2 2 9\n0 2 2 2 2 2 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9\nOutput:\n0 0 0 0 0 0 0 0 0 0 0 0\n0 0 2 0 4 4 0 2 2 0 0 0\n0 2 2 2 4 4 2 2 2 2 0 0\n0 4 4 4 4 4 4 4 4 4 4 9\n0 0 2 2 4 4 2 2 2 2 2 9\n0 0 2 2 4 4 2 2 2 2 2 9\n0 0 0 2 4 4 2 2 2 2 2 9\n0 4 4 4 4 4 4 4 4 4 4 9\n0 2 2 2 4 4 2 9 2 2 2 9\n0 0 2 2 4 4 2 9 9 2 2 9\n0 2 2 2 4 4 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9 9\n\nExample 3:\n\nInput:\n9 0 0 0 0 0 0 0 0 0\n9 0 2 2 2 0 0 0 0 0\n9 2 2 2 2 2 0 0 2 0\n9 2 2 2 2 2 2 2 2 0\n9 2 2 2 2 2 2 2 2 0\n9 2 2 2 2 2 2 2 0 0\n9 9 2 2 2 2 2 2 0 0\n9 9 2 2 9 2 2 2 2 0\n9 9 9 2 9 9 2 9 2 0\n9 9 9 9 9 9 9 9 9 0\nOutput:\n9 0 0 0 0 0 0 0 0 0\n9 0 2 4 2 0 0 0 0 0\n9 2 2 4 2 2 0 0 2 0\n9 4 4 4 4 4 4 4 4 0\n9 4 4 4 4 4 4 4 4 0\n9 2 2 4 2 2 2 2 0 0\n9 9 2 4 2 2 2 2 0 0\n9 9 2 4 9 2 2 2 2 0\n9 9 9 4 9 9 2 9 2 0\n9 9 9 9 9 9 9 9 9 0\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n9 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 2 0 2 0 0 2 2 2 2 0 0 0\n9 9 2 2 2 2 2 2 2 2 2 2 0 0\n9 2 2 2 2 2 2 2 2 2 2 2 2 0\n9 9 2 2 2 2 2 2 2 2 2 2 2 0\n9 9 2 2 2 2 2 2 2 2 2 2 2 0\n9 9 2 2 2 2 2 2 2 2 2 2 2 0\n9 2 2 2 2 2 2 2 2 2 2 2 2 0\n9 9 2 2 2 2 2 2 2 2 2 0 0 0\n9 9 9 2 2 2 2 2 2 2 2 2 0 0\n9 2 2 2 2 2 2 2 2 2 2 2 2 0\n9 9 9 2 2 2 2 2 2 2 2 2 2 0\n9 9 9 9 2 2 9 9 9 2 2 9 0 0\n9 9 9 9 9 9 9 9 9 9 9 9 9 9\n", "answer": "9 0 0 0 0 0 0 0 0 0 0 0 0 0\n9 9 2 0 4 0 0 2 2 4 4 0 0 0\n9 9 2 2 4 2 2 2 2 4 4 2 0 0\n9 4 4 4 4 4 4 4 4 4 4 4 4 0\n9 9 2 2 4 2 2 2 2 4 4 2 2 0\n9 9 2 2 4 2 2 2 2 4 4 2 2 0\n9 9 2 2 4 2 2 2 2 4 4 2 2 0\n9 4 4 4 4 4 4 4 4 4 4 4 4 0\n9 9 2 2 4 2 2 2 2 4 4 0 0 0\n9 9 9 2 4 2 2 2 2 4 4 2 0 0\n9 4 4 4 4 4 4 4 4 4 4 4 4 0\n9 9 9 2 4 2 2 2 2 4 4 2 2 0\n9 9 9 9 4 2 9 9 9 4 4 9 0 0\n9 9 9 9 9 9 9 9 9 9 9 9 9 9", "metadata": {"source_dataset": "arc_agi", "source_index": 91, "input": [[9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 9, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0], [9, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0], [9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [9, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [9, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [9, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [9, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0], [9, 9, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0], [9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [9, 9, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [9, 9, 9, 9, 2, 2, 9, 9, 9, 2, 2, 9, 0, 0], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 9, 2, 0, 4, 0, 0, 2, 2, 4, 4, 0, 0, 0], [9, 9, 2, 2, 4, 2, 2, 2, 2, 4, 4, 2, 0, 0], [9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0], [9, 9, 2, 2, 4, 2, 2, 2, 2, 4, 4, 2, 2, 0], [9, 9, 2, 2, 4, 2, 2, 2, 2, 4, 4, 2, 2, 0], [9, 9, 2, 2, 4, 2, 2, 2, 2, 4, 4, 2, 2, 0], [9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0], [9, 9, 2, 2, 4, 2, 2, 2, 2, 4, 4, 0, 0, 0], [9, 9, 9, 2, 4, 2, 2, 2, 2, 4, 4, 2, 0, 0], [9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0], [9, 9, 9, 2, 4, 2, 2, 2, 2, 4, 4, 2, 2, 0], [9, 9, 9, 9, 4, 2, 9, 9, 9, 4, 4, 9, 0, 0], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "task_id": "2bee17df", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}	{"source_dataset": "arc_agi", "source_index": 91, "input": [[9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 9, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0], [9, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0], [9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [9, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [9, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [9, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [9, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0], [9, 9, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0], [9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [9, 9, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0], [9, 9, 9, 9, 2, 2, 9, 9, 9, 2, 2, 9, 0, 0], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 9, 2, 0, 4, 0, 0, 2, 2, 4, 4, 0, 0, 0], [9, 9, 2, 2, 4, 2, 2, 2, 2, 4, 4, 2, 0, 0], [9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0], [9, 9, 2, 2, 4, 2, 2, 2, 2, 4, 4, 2, 2, 0], [9, 9, 2, 2, 4, 2, 2, 2, 2, 4, 4, 2, 2, 0], [9, 9, 2, 2, 4, 2, 2, 2, 2, 4, 4, 2, 2, 0], [9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0], [9, 9, 2, 2, 4, 2, 2, 2, 2, 4, 4, 0, 0, 0], [9, 9, 9, 2, 4, 2, 2, 2, 2, 4, 4, 2, 0, 0], [9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 0], [9, 9, 9, 2, 4, 2, 2, 2, 2, 4, 4, 2, 2, 0], [9, 9, 9, 9, 4, 2, 9, 9, 9, 4, 4, 9, 0, 0], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "task_id": "2bee17df", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 7 7 4 4 7 3 9 9 9 4 4 4 7 4 4 4 3 4 4 4 4 4 4 4 4 7 7 3 9 4 4 4 4 4 4 4 4 7 3 4 9 9 9 4 3 3 3 3 3 3 3 3 3 3 3 4 1 4 4 1 3 4 4 8 4 4 4 1 1 4 4 3 4 4 4 8 4 1 4 1 4 4 3 4 8 4 4 8 4 1 4 4 4 3 4 8 8 4 8 Output: 7 7 8 4 7 4 7 1 8 4 1 8 1 7 8 4 8 8 9 8 Example 2: Input: 4 4 4 7 7 3 4 4 9 4 4 7 4 7 4 4 3 4 9 9 4 4 7 4 7 7 7 3 9 4 9 9 9 4 4 4 7 7 3 9 9 9 9 4 3 3 3 3 3 3 3 3 3 3 3 4 4 1 4 1 3 8 4 4 8 4 4 1 1 4 4 3 8 4 4 4 8 4 4 4 4 4 3 8 4 8 4 8 4 1 1 1 1 3 4 8 8 4 4 Output: 8 4 1 8 7 8 1 7 4 8 8 4 8 7 8 9 8 8 7 7 Example 3: Input: 4 7 7 7 7 3 4 9 9 9 9 4 4 4 7 4 3 9 9 4 9 9 4 7 7 4 4 3 9 9 4 4 9 4 7 7 4 7 3 9 9 9 4 4 3 3 3 3 3 3 3 3 3 3 3 4 1 1 4 1 3 8 8 8 4 4 1 1 1 4 1 3 4 8 8 8 8 4 1 4 1 1 3 4 8 8 8 8 4 1 4 4 4 3 4 8 4 8 4 Output: 8 8 8 7 7 1 8 8 8 8 9 8 8 8 8 9 8 7 8 7 Example 4: Input: 7 7 7 4 7 3 4 9 9 4 4 7 7 7 7 7 3 9 9 4 4 9 7 7 7 4 4 3 4 9 9 9 9 4 7 7 7 7 3 9 4 9 9 4 3 3 3 3 3 3 3 3 3 3 3 1 4 4 1 1 3 4 4 4 4 8 4 1 4 1 4 3 4 8 4 8 8 4 4 1 1 4 3 4 4 4 4 4 4 1 4 1 1 3 8 4 8 4 4 Output: 7 7 7 1 8 7 8 7 8 8 7 7 7 1 9 8 7 8 7 7 Example 5: Input: 4 7 4 4 4 3 4 9 9 9 9 7 7 4 7 4 3 9 9 4 4 4 4 4 4 7 7 3 9 4 9 9 4 4 4 4 7 7 3 4 9 9 9 4 3 3 3 3 3 3 3 3 3 3 3 1 1 1 4 4 3 8 8 4 4 4 4 4 4 4 4 3 8 4 8 8 4 1 4 1 4 1 3 4 8 4 8 8 4 4 1 4 1 3 4 8 8 4 4 Output: 8 8 1 9 9 8 7 8 8 4 1 8 1 8 8 4 8 8 7 7 Example 6: Input: 7 4 4 7 7 3 4 9 4 9 9 4 7 4 4 4 3 9 4 9 4 9 7 7 4 4 7 3 4 9 4 9 9 7 4 4 7 7 3 4 9 4 9 4 3 3 3 3 3 3 3 3 3 3 3 4 1 1 1 1 3 4 8 4 8 8 1 1 4 1 4 3 4 4 4 4 8 1 1 4 1 1 3 8 8 8 4 4 1 4 4 4 4 3 4 8 8 8 4 Output: 7 8 1 8 8 1 7 9 1 8 8 8 8 1 7 7 8 8 8 7 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 7 7 4 7 7 3 9 4 4 4 4 7 4 7 7 4 3 9 4 4 4 4 4 4 7 4 4 3 4 9 9 4 9 4 4 4 4 4 3 9 4 4 9 9 3 3 3 3 3 3 3 3 3 3 3 4 4 1 1 1 3 8 8 8 8 8 1 1 1 4 1 3 8 8 4 8 8 1 4 1 1 4 3 4 4 8 8 8 4 1 1 1 1 3 8 4 8 4 4	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "8 8 8 8 8\n8 8 7 8 8\n1 9 8 8 8\n8 1 8 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:\n7 7 4 4 7 3 9 9 9 4 4\n4 7 4 4 4 3 4 4 4 4 4\n4 4 4 7 7 3 9 4 4 4 4\n4 4 4 4 7 3 4 9 9 9 4\n3 3 3 3 3 3 3 3 3 3 3\n4 1 4 4 1 3 4 4 8 4 4\n4 1 1 4 4 3 4 4 4 8 4\n1 4 1 4 4 3 4 8 4 4 8\n4 1 4 4 4 3 4 8 8 4 8\nOutput:\n7 7 8 4 7\n4 7 1 8 4\n1 8 1 7 8\n4 8 8 9 8\n\nExample 2:\n\nInput:\n4 4 4 7 7 3 4 4 9 4 4\n7 4 7 4 4 3 4 9 9 4 4\n7 4 7 7 7 3 9 4 9 9 9\n4 4 4 7 7 3 9 9 9 9 4\n3 3 3 3 3 3 3 3 3 3 3\n4 4 1 4 1 3 8 4 4 8 4\n4 1 1 4 4 3 8 4 4 4 8\n4 4 4 4 4 3 8 4 8 4 8\n4 1 1 1 1 3 4 8 8 4 4\nOutput:\n8 4 1 8 7\n8 1 7 4 8\n8 4 8 7 8\n9 8 8 7 7\n\nExample 3:\n\nInput:\n4 7 7 7 7 3 4 9 9 9 9\n4 4 4 7 4 3 9 9 4 9 9\n4 7 7 4 4 3 9 9 4 4 9\n4 7 7 4 7 3 9 9 9 4 4\n3 3 3 3 3 3 3 3 3 3 3\n4 1 1 4 1 3 8 8 8 4 4\n1 1 1 4 1 3 4 8 8 8 8\n4 1 4 1 1 3 4 8 8 8 8\n4 1 4 4 4 3 4 8 4 8 4\nOutput:\n8 8 8 7 7\n1 8 8 8 8\n9 8 8 8 8\n9 8 7 8 7\n\nExample 4:\n\nInput:\n7 7 7 4 7 3 4 9 9 4 4\n7 7 7 7 7 3 9 9 4 4 9\n7 7 7 4 4 3 4 9 9 9 9\n4 7 7 7 7 3 9 4 9 9 4\n3 3 3 3 3 3 3 3 3 3 3\n1 4 4 1 1 3 4 4 4 4 8\n4 1 4 1 4 3 4 8 4 8 8\n4 4 1 1 4 3 4 4 4 4 4\n4 1 4 1 1 3 8 4 8 4 4\nOutput:\n7 7 7 1 8\n7 8 7 8 8\n7 7 7 1 9\n8 7 8 7 7\n\nExample 5:\n\nInput:\n4 7 4 4 4 3 4 9 9 9 9\n7 7 4 7 4 3 9 9 4 4 4\n4 4 4 7 7 3 9 4 9 9 4\n4 4 4 7 7 3 4 9 9 9 4\n3 3 3 3 3 3 3 3 3 3 3\n1 1 1 4 4 3 8 8 4 4 4\n4 4 4 4 4 3 8 4 8 8 4\n1 4 1 4 1 3 4 8 4 8 8\n4 4 1 4 1 3 4 8 8 4 4\nOutput:\n8 8 1 9 9\n8 7 8 8 4\n1 8 1 8 8\n4 8 8 7 7\n\nExample 6:\n\nInput:\n7 4 4 7 7 3 4 9 4 9 9\n4 7 4 4 4 3 9 4 9 4 9\n7 7 4 4 7 3 4 9 4 9 9\n7 4 4 7 7 3 4 9 4 9 4\n3 3 3 3 3 3 3 3 3 3 3\n4 1 1 1 1 3 4 8 4 8 8\n1 1 4 1 4 3 4 4 4 4 8\n1 1 4 1 1 3 8 8 8 4 4\n1 4 4 4 4 3 4 8 8 8 4\nOutput:\n7 8 1 8 8\n1 7 9 1 8\n8 8 8 1 7\n7 8 8 8 7\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n7 7 4 7 7 3 9 4 4 4 4\n7 4 7 7 4 3 9 4 4 4 4\n4 4 7 4 4 3 4 9 9 4 9\n4 4 4 4 4 3 9 4 4 9 9\n3 3 3 3 3 3 3 3 3 3 3\n4 4 1 1 1 3 8 8 8 8 8\n1 1 1 4 1 3 8 8 4 8 8\n1 4 1 1 4 3 4 4 8 8 8\n4 1 1 1 1 3 8 4 8 4 4\n", "answer": "8 8 8 8 8\n8 8 7 8 8\n1 9 8 8 8\n8 1 8 1 1", "metadata": {"source_dataset": "arc_agi", "source_index": 92, "input": [[7, 7, 4, 7, 7, 3, 9, 4, 4, 4, 4], [7, 4, 7, 7, 4, 3, 9, 4, 4, 4, 4], [4, 4, 7, 4, 4, 3, 4, 9, 9, 4, 9], [4, 4, 4, 4, 4, 3, 9, 4, 4, 9, 9], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 1, 1, 1, 3, 8, 8, 8, 8, 8], [1, 1, 1, 4, 1, 3, 8, 8, 4, 8, 8], [1, 4, 1, 1, 4, 3, 4, 4, 8, 8, 8], [4, 1, 1, 1, 1, 3, 8, 4, 8, 4, 4]], "output": [[8, 8, 8, 8, 8], [8, 8, 7, 8, 8], [1, 9, 8, 8, 8], [8, 1, 8, 1, 1]], "task_id": "e99362f0", "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": 92, "input": [[7, 7, 4, 7, 7, 3, 9, 4, 4, 4, 4], [7, 4, 7, 7, 4, 3, 9, 4, 4, 4, 4], [4, 4, 7, 4, 4, 3, 4, 9, 9, 4, 9], [4, 4, 4, 4, 4, 3, 9, 4, 4, 9, 9], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [4, 4, 1, 1, 1, 3, 8, 8, 8, 8, 8], [1, 1, 1, 4, 1, 3, 8, 8, 4, 8, 8], [1, 4, 1, 1, 4, 3, 4, 4, 8, 8, 8], [4, 1, 1, 1, 1, 3, 8, 4, 8, 4, 4]], "output": [[8, 8, 8, 8, 8], [8, 8, 7, 8, 8], [1, 9, 8, 8, 8], [8, 1, 8, 1, 1]], "task_id": "e99362f0", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Output: 2 1 2 2 2 3 2 2 2 2 4 2 2 3 6 3 3 3 3 3 3 3 3 6 3 3 2 1 2 2 2 3 2 2 2 2 4 2 2 2 1 2 2 2 3 2 2 2 2 4 2 2 2 1 2 2 2 3 2 2 2 2 4 2 2 2 1 2 2 2 3 2 2 2 2 4 2 2 2 1 2 2 2 3 2 2 2 2 4 2 2 2 1 2 2 2 3 2 2 2 2 4 2 2 4 6 4 4 4 6 4 4 4 4 4 4 4 2 1 2 2 2 3 2 2 2 2 4 2 2 1 1 1 1 1 6 1 1 1 1 6 1 1 2 1 2 2 2 3 2 2 2 2 4 2 2 2 1 2 2 2 3 2 2 2 2 4 2 2 Example 2: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Output: 2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2 2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2 2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2 2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2 2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2 2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2 4 4 4 4 4 4 4 4 4 4 4 6 4 4 4 4 2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2 2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2 2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2 2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2 2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2 2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2 2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2 Example 3: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 8 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Output: 2 2 2 2 1 2 2 2 2 2 8 2 2 2 2 2 2 2 1 2 2 2 2 2 8 2 2 2 2 2 2 2 1 2 2 2 2 2 8 2 2 2 8 8 8 8 6 8 8 8 8 8 8 8 8 8 2 2 2 2 1 2 2 2 2 2 8 2 2 2 2 2 2 2 1 2 2 2 2 2 8 2 2 2 2 2 2 2 1 2 2 2 2 2 8 2 2 2 2 2 2 2 1 2 2 2 2 2 8 2 2 2 1 1 1 1 1 1 1 1 1 1 6 1 1 1 2 2 2 2 1 2 2 2 2 2 8 2 2 2 2 2 2 2 1 2 2 2 2 2 8 2 2 2 2 2 2 2 1 2 2 2 2 2 8 2 2 2 2 2 2 2 1 2 2 2 2 2 8 2 2 2 2 2 2 2 1 2 2 2 2 2 8 2 2 2 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 0 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 8 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 5 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 2 2 2 8 2 2 2 0 2 2 5 2 2 2\n2 2 2 2 8 2 2 2 0 2 2 5 2 2 2\n0 0 0 0 6 0 0 0 0 0 0 6 0 0 0\n2 2 2 2 8 2 2 2 0 2 2 5 2 2 2\n2 2 2 2 8 2 2 2 0 2 2 5 2 2 2\n2 2 2 2 8 2 2 2 0 2 2 5 2 2 2\n2 2 2 2 8 2 2 2 0 2 2 5 2 2 2\n2 2 2 2 8 2 2 2 0 2 2 5 2 2 2\n8 8 8 8 8 8 8 8 6 8 8 6 8 8 8\n2 2 2 2 8 2 2 2 0 2 2 5 2 2 2\n2 2 2 2 8 2 2 2 0 2 2 5 2 2 2\n2 2 2 2 8 2 2 2 0 2 2 5 2 2 2\n5 5 5 5 6 5 5 5 6 5 5 5 5 5 5\n2 2 2 2 8 2 2 2 0 2 2 5 2 2 2\n2 2 2 2 8 2 2 2 0 2 2 5 2 2 2", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 3 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 4 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 1 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2\nOutput:\n2 1 2 2 2 3 2 2 2 2 4 2 2\n3 6 3 3 3 3 3 3 3 3 6 3 3\n2 1 2 2 2 3 2 2 2 2 4 2 2\n2 1 2 2 2 3 2 2 2 2 4 2 2\n2 1 2 2 2 3 2 2 2 2 4 2 2\n2 1 2 2 2 3 2 2 2 2 4 2 2\n2 1 2 2 2 3 2 2 2 2 4 2 2\n2 1 2 2 2 3 2 2 2 2 4 2 2\n4 6 4 4 4 6 4 4 4 4 4 4 4\n2 1 2 2 2 3 2 2 2 2 4 2 2\n1 1 1 1 1 6 1 1 1 1 6 1 1\n2 1 2 2 2 3 2 2 2 2 4 2 2\n2 1 2 2 2 3 2 2 2 2 4 2 2\n\nExample 2:\n\nInput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 4 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 5 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\nOutput:\n2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2\n2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2\n2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2\n2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2\n2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2\n2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2\n4 4 4 4 4 4 4 4 4 4 4 6 4 4 4 4\n2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2\n2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2\n2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2\n2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2\n2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2\n2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2\n5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5\n2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2\n2 2 2 2 2 4 2 2 2 2 2 5 2 2 2 2\n\nExample 3:\n\nInput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 8 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 1 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\nOutput:\n2 2 2 2 1 2 2 2 2 2 8 2 2 2\n2 2 2 2 1 2 2 2 2 2 8 2 2 2\n2 2 2 2 1 2 2 2 2 2 8 2 2 2\n8 8 8 8 6 8 8 8 8 8 8 8 8 8\n2 2 2 2 1 2 2 2 2 2 8 2 2 2\n2 2 2 2 1 2 2 2 2 2 8 2 2 2\n2 2 2 2 1 2 2 2 2 2 8 2 2 2\n2 2 2 2 1 2 2 2 2 2 8 2 2 2\n1 1 1 1 1 1 1 1 1 1 6 1 1 1\n2 2 2 2 1 2 2 2 2 2 8 2 2 2\n2 2 2 2 1 2 2 2 2 2 8 2 2 2\n2 2 2 2 1 2 2 2 2 2 8 2 2 2\n2 2 2 2 1 2 2 2 2 2 8 2 2 2\n2 2 2 2 1 2 2 2 2 2 8 2 2 2\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 0 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 8 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 5 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n", "answer": "2 2 2 2 8 2 2 2 0 2 2 5 2 2 2\n2 2 2 2 8 2 2 2 0 2 2 5 2 2 2\n0 0 0 0 6 0 0 0 0 0 0 6 0 0 0\n2 2 2 2 8 2 2 2 0 2 2 5 2 2 2\n2 2 2 2 8 2 2 2 0 2 2 5 2 2 2\n2 2 2 2 8 2 2 2 0 2 2 5 2 2 2\n2 2 2 2 8 2 2 2 0 2 2 5 2 2 2\n2 2 2 2 8 2 2 2 0 2 2 5 2 2 2\n8 8 8 8 8 8 8 8 6 8 8 6 8 8 8\n2 2 2 2 8 2 2 2 0 2 2 5 2 2 2\n2 2 2 2 8 2 2 2 0 2 2 5 2 2 2\n2 2 2 2 8 2 2 2 0 2 2 5 2 2 2\n5 5 5 5 6 5 5 5 6 5 5 5 5 5 5\n2 2 2 2 8 2 2 2 0 2 2 5 2 2 2\n2 2 2 2 8 2 2 2 0 2 2 5 2 2 2", "metadata": {"source_dataset": "arc_agi", "source_index": 93, "input": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "output": [[2, 2, 2, 2, 8, 2, 2, 2, 0, 2, 2, 5, 2, 2, 2], [2, 2, 2, 2, 8, 2, 2, 2, 0, 2, 2, 5, 2, 2, 2], [0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [2, 2, 2, 2, 8, 2, 2, 2, 0, 2, 2, 5, 2, 2, 2], [2, 2, 2, 2, 8, 2, 2, 2, 0, 2, 2, 5, 2, 2, 2], [2, 2, 2, 2, 8, 2, 2, 2, 0, 2, 2, 5, 2, 2, 2], [2, 2, 2, 2, 8, 2, 2, 2, 0, 2, 2, 5, 2, 2, 2], [2, 2, 2, 2, 8, 2, 2, 2, 0, 2, 2, 5, 2, 2, 2], [8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 6, 8, 8, 8], [2, 2, 2, 2, 8, 2, 2, 2, 0, 2, 2, 5, 2, 2, 2], [2, 2, 2, 2, 8, 2, 2, 2, 0, 2, 2, 5, 2, 2, 2], [2, 2, 2, 2, 8, 2, 2, 2, 0, 2, 2, 5, 2, 2, 2], [5, 5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 8, 2, 2, 2, 0, 2, 2, 5, 2, 2, 2], [2, 2, 2, 2, 8, 2, 2, 2, 0, 2, 2, 5, 2, 2, 2]], "task_id": "45bbe264", "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": 93, "input": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "output": [[2, 2, 2, 2, 8, 2, 2, 2, 0, 2, 2, 5, 2, 2, 2], [2, 2, 2, 2, 8, 2, 2, 2, 0, 2, 2, 5, 2, 2, 2], [0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [2, 2, 2, 2, 8, 2, 2, 2, 0, 2, 2, 5, 2, 2, 2], [2, 2, 2, 2, 8, 2, 2, 2, 0, 2, 2, 5, 2, 2, 2], [2, 2, 2, 2, 8, 2, 2, 2, 0, 2, 2, 5, 2, 2, 2], [2, 2, 2, 2, 8, 2, 2, 2, 0, 2, 2, 5, 2, 2, 2], [2, 2, 2, 2, 8, 2, 2, 2, 0, 2, 2, 5, 2, 2, 2], [8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 6, 8, 8, 8], [2, 2, 2, 2, 8, 2, 2, 2, 0, 2, 2, 5, 2, 2, 2], [2, 2, 2, 2, 8, 2, 2, 2, 0, 2, 2, 5, 2, 2, 2], [2, 2, 2, 2, 8, 2, 2, 2, 0, 2, 2, 5, 2, 2, 2], [5, 5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 5, 5, 5], [2, 2, 2, 2, 8, 2, 2, 2, 0, 2, 2, 5, 2, 2, 2], [2, 2, 2, 2, 8, 2, 2, 2, 0, 2, 2, 5, 2, 2, 2]], "task_id": "45bbe264", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 4 4 6 4 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 6 4 6 6 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 4 4 7 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 6 4 4 6 4 4 4 4 4 4 4 4 4 4 4 4 6 6 6 6 4 4 4 4 4 4 6 6 6 4 4 4 6 4 6 6 4 4 4 4 4 6 4 6 4 4 4 4 4 7 4 4 4 4 4 4 4 4 4 4 6 4 4 4 4 7 7 4 4 4 4 4 4 6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4 4 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Output: 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 1 4 4 1 4 4 4 4 4 4 4 4 4 4 4 4 4 1 1 1 4 4 4 4 4 4 4 4 4 4 4 4 1 4 1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 8 4 4 8 4 4 4 4 4 4 4 4 4 4 4 4 8 8 8 8 4 4 4 4 4 4 3 3 3 4 4 4 8 4 8 8 4 4 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 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 6 6 4 4 4 4 4 6 6 6 4 4 6 4 6 6 4 4 4 7 7 4 4 4 4 4 7 4 4 4 4 4 4 4 4 4 Output: 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 3 3 3 4 4 3 4 3 3 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 4 6 4 6 4 4 4 4 4 4 4 4 6 6 6 4 4 4 4 4 4 4 6 4 6 4 4 4 6 4 6 4 4 4 4 7 4 4 4 6 6 6 4 4 4 7 7 4 4 6 6 6 4 4 4 4 4 4 4 4 4 7 4 4 4 4 4 4 4 4 4 4 7 7 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 1 4 1 4 4 4 4 4 4 4 4 1 1 1 4 4 4 4 4 4 4 1 4 1 4 4 4 8 4 8 4 4 4 4 4 4 4 4 8 8 8 4 4 4 4 4 4 4 8 8 8 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 Example 4: Input: 4 4 4 4 4 4 6 4 6 4 4 4 4 4 4 4 4 4 6 6 6 4 4 4 6 6 6 4 4 6 6 4 6 4 4 4 4 6 4 4 4 4 7 7 4 4 4 4 6 4 6 6 4 4 4 7 4 4 4 4 4 7 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 Output: 4 4 4 4 4 4 3 4 3 4 4 4 4 4 4 4 4 4 3 3 3 4 4 4 5 5 5 4 4 3 3 4 3 4 4 4 4 5 4 4 4 4 4 4 4 4 4 4 5 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 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 6 6 4 4 4 4 4 4 4 4 4 4 4 6 6 6 4 4 4 4 6 6 4 4 6 6 4 6 4 4 4 6 4 6 4 4 4 7 7 4 4 4 4 6 6 4 6 4 4 7 4 4 4 4 4 4 4 7 4 4 4 4 4 4 4 4 4 4 7 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 6 4 4 4 6 4 4 4 4 4 4 6 4 6 4 4 4 6 6 4 4 4 6 6 6 6 4 4 6 6 6 4 4 4 4 7 7 4 4 4 4 7 4 4 4 4 4 4 7 4 4 4 4 7 7 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 5 5 4 4\n4 4 4 4 4 4 4 4 4 5 5 5\n4 4 4 4 1 1 4 4 5 5 4 5\n4 4 4 1 4 1 4 4 4 4 4 4\n4 4 4 1 1 4 1 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 3 4 4 4\n8 4 4 4 4 4 4 3 4 3 4 4\n4 8 8 4 4 4 3 3 3 3 4 4\n8 8 8 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 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\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 6 4 4 6 4 4 4 4 4 4 4 4 4\n4 4 4 4 6 6 6 4 4 4 4 4 4 4 4 4\n4 4 4 6 4 6 6 4 4 4 4 4 4 4 4 4\n4 4 4 4 7 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 7 7 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\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 6 4 4 6 4 4 4 4 4\n4 4 4 4 4 4 4 6 6 6 6 4 4 4 4 4\n4 6 6 6 4 4 4 6 4 6 6 4 4 4 4 4\n6 4 6 4 4 4 4 4 7 4 4 4 4 4 4 4\n4 4 4 6 4 4 4 4 7 7 4 4 4 4 4 4\n6 6 6 6 4 4 4 4 4 4 4 4 4 4 4 4\n4 7 7 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 7 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\nOutput:\n4 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\n4 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\n4 4 4 1 4 4 1 4 4 4 4 4 4 4 4 4\n4 4 4 4 1 1 1 4 4 4 4 4 4 4 4 4\n4 4 4 1 4 1 1 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\n4 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\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 8 4 4 8 4 4 4 4 4\n4 4 4 4 4 4 4 8 8 8 8 4 4 4 4 4\n4 3 3 3 4 4 4 8 4 8 8 4 4 4 4 4\n3 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4\n3 3 3 3 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\n4 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\n\nExample 2:\n\nInput:\n4 4 4 4 4 4\n4 4 4 4 4 4\n6 6 4 4 4 4\n4 6 6 6 4 4\n6 4 6 6 4 4\n4 7 7 4 4 4\n4 4 7 4 4 4\n4 4 4 4 4 4\nOutput:\n4 4 4 4 4 4\n4 4 4 4 4 4\n3 3 4 4 4 4\n4 3 3 3 4 4\n3 4 3 3 4 4\n4 4 4 4 4 4\n4 4 4 4 4 4\n4 4 4 4 4 4\n\nExample 3:\n\nInput:\n4 4 4 4 4 4 4 4 4 4 4\n4 6 4 6 4 4 4 4 4 4 4\n4 6 6 6 4 4 4 4 4 4 4\n6 4 6 4 4 4 6 4 6 4 4\n4 4 7 4 4 4 6 6 6 4 4\n4 7 7 4 4 6 6 6 4 4 4\n4 4 4 4 4 4 7 4 4 4 4\n4 4 4 4 4 4 7 7 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\nOutput:\n4 4 4 4 4 4 4 4 4 4 4\n4 1 4 1 4 4 4 4 4 4 4\n4 1 1 1 4 4 4 4 4 4 4\n1 4 1 4 4 4 8 4 8 4 4\n4 4 4 4 4 4 8 8 8 4 4\n4 4 4 4 4 8 8 8 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4\n\nExample 4:\n\nInput:\n4 4 4 4 4 4 6 4 6 4 4 4\n4 4 4 4 4 4 6 6 6 4 4 4\n6 6 6 4 4 6 6 4 6 4 4 4\n4 6 4 4 4 4 7 7 4 4 4 4\n6 4 6 6 4 4 4 7 4 4 4 4\n4 7 7 4 4 4 4 4 4 4 4 4\n4 7 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 3 4 3 4 4 4\n4 4 4 4 4 4 3 3 3 4 4 4\n5 5 5 4 4 3 3 4 3 4 4 4\n4 5 4 4 4 4 4 4 4 4 4 4\n5 4 5 5 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\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 6 6 4 4\n4 4 4 4 4 4 4 4 4 6 6 6\n4 4 4 4 6 6 4 4 6 6 4 6\n4 4 4 6 4 6 4 4 4 7 7 4\n4 4 4 6 6 4 6 4 4 7 4 4\n4 4 4 4 4 7 4 4 4 4 4 4\n4 4 4 4 7 7 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 6 4 4 4\n6 4 4 4 4 4 4 6 4 6 4 4\n4 6 6 4 4 4 6 6 6 6 4 4\n6 6 6 4 4 4 4 7 7 4 4 4\n4 7 4 4 4 4 4 4 7 4 4 4\n4 7 7 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n", "answer": "4 4 4 4 4 4 4 4 5 5 4 4\n4 4 4 4 4 4 4 4 4 5 5 5\n4 4 4 4 1 1 4 4 5 5 4 5\n4 4 4 1 4 1 4 4 4 4 4 4\n4 4 4 1 1 4 1 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 3 4 4 4\n8 4 4 4 4 4 4 3 4 3 4 4\n4 8 8 4 4 4 3 3 3 3 4 4\n8 8 8 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4\n4 4 4 4 4 4 4 4 4 4 4 4", "metadata": {"source_dataset": "arc_agi", "source_index": 94, "input": [[4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6], [4, 4, 4, 4, 6, 6, 4, 4, 6, 6, 4, 6], [4, 4, 4, 6, 4, 6, 4, 4, 4, 7, 7, 4], [4, 4, 4, 6, 6, 4, 6, 4, 4, 7, 4, 4], [4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 7, 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, 6, 4, 4, 4], [6, 4, 4, 4, 4, 4, 4, 6, 4, 6, 4, 4], [4, 6, 6, 4, 4, 4, 6, 6, 6, 6, 4, 4], [6, 6, 6, 4, 4, 4, 4, 7, 7, 4, 4, 4], [4, 7, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4], [4, 7, 7, 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, 5, 5, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5], [4, 4, 4, 4, 1, 1, 4, 4, 5, 5, 4, 5], [4, 4, 4, 1, 4, 1, 4, 4, 4, 4, 4, 4], [4, 4, 4, 1, 1, 4, 1, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4], [8, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4], [4, 8, 8, 4, 4, 4, 3, 3, 3, 3, 4, 4], [8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "task_id": "604001fa", "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": 94, "input": [[4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6], [4, 4, 4, 4, 6, 6, 4, 4, 6, 6, 4, 6], [4, 4, 4, 6, 4, 6, 4, 4, 4, 7, 7, 4], [4, 4, 4, 6, 6, 4, 6, 4, 4, 7, 4, 4], [4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 7, 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, 6, 4, 4, 4], [6, 4, 4, 4, 4, 4, 4, 6, 4, 6, 4, 4], [4, 6, 6, 4, 4, 4, 6, 6, 6, 6, 4, 4], [6, 6, 6, 4, 4, 4, 4, 7, 7, 4, 4, 4], [4, 7, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4], [4, 7, 7, 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, 5, 5, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5], [4, 4, 4, 4, 1, 1, 4, 4, 5, 5, 4, 5], [4, 4, 4, 1, 4, 1, 4, 4, 4, 4, 4, 4], [4, 4, 4, 1, 1, 4, 1, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4], [8, 4, 4, 4, 4, 4, 4, 3, 4, 3, 4, 4], [4, 8, 8, 4, 4, 4, 3, 3, 3, 3, 4, 4], [8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "task_id": "604001fa", "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 9 9 9 9 9 9 9 9 1 9 9 9 1 9 9 9 9 1 1 9 9 1 1 9 9 9 9 9 1 9 9 1 1 1 9 9 1 1 1 1 1 1 1 1 9 9 1 1 1 1 1 1 1 9 9 9 9 1 1 1 1 1 1 1 9 9 9 9 1 1 1 1 9 9 9 9 9 9 1 1 1 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 9 9 9 9 9 9 9 9 9 9 9 9 9 1 9 9 9 1 9 9 9 9 1 1 9 9 1 1 9 9 9 9 9 1 9 9 1 1 4 9 9 1 1 1 1 1 1 4 1 9 9 1 1 1 1 1 4 1 9 9 9 9 1 1 1 4 1 1 1 9 9 9 9 1 4 1 1 9 9 9 9 9 9 4 1 1 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Example 2: Input: 9 9 9 9 9 9 9 9 9 9 9 9 1 9 1 1 9 9 9 9 9 1 1 1 1 1 1 9 9 9 9 1 1 1 1 1 1 1 1 9 9 9 9 1 1 1 1 1 9 9 9 9 1 1 1 1 1 1 1 9 9 1 1 1 1 1 1 1 1 9 9 9 1 1 9 1 1 1 1 9 9 9 9 1 9 1 9 1 1 9 9 9 9 9 9 9 9 9 9 9 Output: 9 9 9 9 9 9 9 9 9 9 9 9 1 9 1 1 9 9 9 9 9 1 4 1 1 1 1 9 9 9 9 1 1 4 1 1 1 1 1 9 9 9 9 1 4 1 1 1 9 9 9 9 1 1 1 4 1 1 1 9 9 1 1 1 1 1 4 1 1 9 9 9 1 1 9 1 1 4 1 9 9 9 9 1 9 1 9 1 4 9 9 9 9 9 9 9 9 9 9 9 Example 3: Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 9 9 1 9 9 1 1 9 9 1 1 1 1 9 9 1 1 1 1 1 1 1 1 9 9 9 1 1 1 1 1 1 9 9 9 9 1 1 1 1 1 1 1 9 9 1 1 1 1 1 1 1 1 9 9 9 1 1 1 1 9 1 1 9 9 1 1 1 1 1 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 9 9 4 9 9 1 1 9 9 1 1 4 1 9 9 1 1 1 1 1 4 1 1 9 9 9 1 1 1 4 1 1 9 9 9 9 1 1 4 1 1 1 1 9 9 1 1 4 1 1 1 1 1 9 9 9 4 1 1 1 9 1 1 9 9 4 1 1 1 1 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Example 4: Input: 9 9 9 9 9 9 9 9 9 9 9 9 1 9 9 9 1 9 1 9 9 1 1 9 1 9 1 1 1 9 9 9 1 1 1 9 1 1 1 9 9 1 1 1 1 1 1 1 9 9 9 9 1 1 1 1 1 1 1 9 9 9 9 1 1 1 1 1 9 9 9 9 1 1 1 9 1 1 1 9 9 1 1 1 9 9 1 1 9 9 9 9 9 9 9 9 9 9 9 9 Output: 9 9 9 9 9 9 9 9 9 9 9 9 1 9 9 9 1 9 4 9 9 1 1 9 1 9 1 4 1 9 9 9 1 1 1 9 4 1 1 9 9 1 1 1 1 4 1 1 9 9 9 9 1 1 4 1 1 1 1 9 9 9 9 4 1 1 1 1 9 9 9 9 4 1 1 9 1 1 1 9 9 4 1 1 9 9 1 1 9 9 9 9 9 9 9 9 9 9 9 9 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 9 9 1 1 9 9 1 1 9 1 9 9 1 1 1 1 1 1 1 1 9 9 1 1 1 1 1 9 9 9 9 9 1 1 1 1 1 1 9 9 9 9 9 9 1 1 1 1 1 1 9 9 9 1 1 1 1 1 1 9 9 9 9 9 1 1 1 1 1 9 9 9 9 9 9 9 9 9 9 9 9	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 1 9\n9 4 1 9 9 1 1 9 1 9\n9 1 4 1 1 1 1 1 1 9\n9 1 1 4 1 1 9 9 9 9\n9 1 1 1 4 1 1 9 9 9\n9 9 9 1 1 4 1 1 1 9\n9 9 1 1 1 1 4 1 9 9\n9 9 9 1 1 1 1 4 9 9\n9 9 9 9 9 9 9 9 9 9", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n9 9 9 9 9 9 9 9 9 9\n9 9 9 1 9 9 9 1 9 9\n9 9 1 1 9 9 1 1 9 9\n9 9 9 1 9 9 1 1 1 9\n9 1 1 1 1 1 1 1 1 9\n9 1 1 1 1 1 1 1 9 9\n9 9 1 1 1 1 1 1 1 9\n9 9 9 1 1 1 1 9 9 9\n9 9 9 1 1 1 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\nOutput:\n9 9 9 9 9 9 9 9 9 9\n9 9 9 1 9 9 9 1 9 9\n9 9 1 1 9 9 1 1 9 9\n9 9 9 1 9 9 1 1 4 9\n9 1 1 1 1 1 1 4 1 9\n9 1 1 1 1 1 4 1 9 9\n9 9 1 1 1 4 1 1 1 9\n9 9 9 1 4 1 1 9 9 9\n9 9 9 4 1 1 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n\nExample 2:\n\nInput:\n9 9 9 9 9 9 9 9 9 9\n9 9 1 9 1 1 9 9 9 9\n9 1 1 1 1 1 1 9 9 9\n9 1 1 1 1 1 1 1 1 9\n9 9 9 1 1 1 1 1 9 9\n9 9 1 1 1 1 1 1 1 9\n9 1 1 1 1 1 1 1 1 9\n9 9 1 1 9 1 1 1 1 9\n9 9 9 1 9 1 9 1 1 9\n9 9 9 9 9 9 9 9 9 9\nOutput:\n9 9 9 9 9 9 9 9 9 9\n9 9 1 9 1 1 9 9 9 9\n9 1 4 1 1 1 1 9 9 9\n9 1 1 4 1 1 1 1 1 9\n9 9 9 1 4 1 1 1 9 9\n9 9 1 1 1 4 1 1 1 9\n9 1 1 1 1 1 4 1 1 9\n9 9 1 1 9 1 1 4 1 9\n9 9 9 1 9 1 9 1 4 9\n9 9 9 9 9 9 9 9 9 9\n\nExample 3:\n\nInput:\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 1 9 9 1 9\n9 1 1 9 9 1 1 1 1 9\n9 1 1 1 1 1 1 1 1 9\n9 9 1 1 1 1 1 1 9 9\n9 9 1 1 1 1 1 1 1 9\n9 1 1 1 1 1 1 1 1 9\n9 9 1 1 1 1 9 1 1 9\n9 1 1 1 1 1 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\nOutput:\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 1 9 9 4 9\n9 1 1 9 9 1 1 4 1 9\n9 1 1 1 1 1 4 1 1 9\n9 9 1 1 1 4 1 1 9 9\n9 9 1 1 4 1 1 1 1 9\n9 1 1 4 1 1 1 1 1 9\n9 9 4 1 1 1 9 1 1 9\n9 4 1 1 1 1 9 9 9 9\n9 9 9 9 9 9 9 9 9 9\n\nExample 4:\n\nInput:\n9 9 9 9 9 9 9 9 9 9\n9 9 1 9 9 9 1 9 1 9\n9 1 1 9 1 9 1 1 1 9\n9 9 1 1 1 9 1 1 1 9\n9 1 1 1 1 1 1 1 9 9\n9 9 1 1 1 1 1 1 1 9\n9 9 9 1 1 1 1 1 9 9\n9 9 1 1 1 9 1 1 1 9\n9 1 1 1 9 9 1 1 9 9\n9 9 9 9 9 9 9 9 9 9\nOutput:\n9 9 9 9 9 9 9 9 9 9\n9 9 1 9 9 9 1 9 4 9\n9 1 1 9 1 9 1 4 1 9\n9 9 1 1 1 9 4 1 1 9\n9 1 1 1 1 4 1 1 9 9\n9 9 1 1 4 1 1 1 1 9\n9 9 9 4 1 1 1 1 9 9\n9 9 4 1 1 9 1 1 1 9\n9 4 1 1 9 9 1 1 9 9\n9 9 9 9 9 9 9 9 9 9\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 1 9\n9 1 1 9 9 1 1 9 1 9\n9 1 1 1 1 1 1 1 1 9\n9 1 1 1 1 1 9 9 9 9\n9 1 1 1 1 1 1 9 9 9\n9 9 9 1 1 1 1 1 1 9\n9 9 1 1 1 1 1 1 9 9\n9 9 9 1 1 1 1 1 9 9\n9 9 9 9 9 9 9 9 9 9\n", "answer": "9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 1 9\n9 4 1 9 9 1 1 9 1 9\n9 1 4 1 1 1 1 1 1 9\n9 1 1 4 1 1 9 9 9 9\n9 1 1 1 4 1 1 9 9 9\n9 9 9 1 1 4 1 1 1 9\n9 9 1 1 1 1 4 1 9 9\n9 9 9 1 1 1 1 4 9 9\n9 9 9 9 9 9 9 9 9 9", "metadata": {"source_dataset": "arc_agi", "source_index": 95, "input": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 1, 9], [9, 1, 1, 9, 9, 1, 1, 9, 1, 9], [9, 1, 1, 1, 1, 1, 1, 1, 1, 9], [9, 1, 1, 1, 1, 1, 9, 9, 9, 9], [9, 1, 1, 1, 1, 1, 1, 9, 9, 9], [9, 9, 9, 1, 1, 1, 1, 1, 1, 9], [9, 9, 1, 1, 1, 1, 1, 1, 9, 9], [9, 9, 9, 1, 1, 1, 1, 1, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 1, 9], [9, 4, 1, 9, 9, 1, 1, 9, 1, 9], [9, 1, 4, 1, 1, 1, 1, 1, 1, 9], [9, 1, 1, 4, 1, 1, 9, 9, 9, 9], [9, 1, 1, 1, 4, 1, 1, 9, 9, 9], [9, 9, 9, 1, 1, 4, 1, 1, 1, 9], [9, 9, 1, 1, 1, 1, 4, 1, 9, 9], [9, 9, 9, 1, 1, 1, 1, 4, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "task_id": "aa300dc3", "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": 95, "input": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 1, 9], [9, 1, 1, 9, 9, 1, 1, 9, 1, 9], [9, 1, 1, 1, 1, 1, 1, 1, 1, 9], [9, 1, 1, 1, 1, 1, 9, 9, 9, 9], [9, 1, 1, 1, 1, 1, 1, 9, 9, 9], [9, 9, 9, 1, 1, 1, 1, 1, 1, 9], [9, 9, 1, 1, 1, 1, 1, 1, 9, 9], [9, 9, 9, 1, 1, 1, 1, 1, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 1, 9], [9, 4, 1, 9, 9, 1, 1, 9, 1, 9], [9, 1, 4, 1, 1, 1, 1, 1, 1, 9], [9, 1, 1, 4, 1, 1, 9, 9, 9, 9], [9, 1, 1, 1, 4, 1, 1, 9, 9, 9], [9, 9, 9, 1, 1, 4, 1, 1, 1, 9], [9, 9, 1, 1, 1, 1, 4, 1, 9, 9], [9, 9, 9, 1, 1, 1, 1, 4, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "task_id": "aa300dc3", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 9 2 2 2 2 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 2 2 2 2 9 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 7 7 7 2 2 9 9 9 2 2 2 2 2 2 2 2 2 7 9 7 1 1 9 7 9 2 2 2 2 2 2 2 2 2 7 7 7 2 2 9 9 9 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 9 9 9 2 2 7 7 7 2 2 2 2 2 2 2 2 2 9 7 9 1 1 7 9 7 2 2 2 2 2 2 2 2 2 9 9 9 2 2 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Example 2: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 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 7 7 7 2 2 2 2 2 2 2 2 3 3 3 2 2 2 7 3 7 1 2 1 2 2 1 2 1 3 7 3 2 2 2 7 7 7 2 2 2 2 2 2 2 2 3 3 3 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 3 3 3 2 2 2 2 2 2 2 2 7 7 7 2 2 2 3 7 3 1 2 1 2 2 1 2 1 7 3 7 2 2 2 3 3 3 2 2 2 2 2 2 2 2 7 7 7 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Example 3: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 4 2 2 2 2 2 2 2 2 2 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 2 2 2 2 2 2 2 2 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Output: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 6 6 2 2 2 2 2 2 2 4 4 4 2 2 2 2 6 4 6 1 2 1 2 1 2 1 4 6 4 2 2 2 2 6 6 6 2 2 2 2 2 2 2 4 4 4 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 2 2 2 2 1 2 2 2 2 2 4 4 4 2 2 2 2 2 2 2 6 6 6 2 2 2 2 4 6 4 1 2 1 2 1 2 1 6 4 6 2 2 2 2 4 4 4 2 2 2 2 2 2 2 6 6 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Example 4: Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 4 2 2 2 2 2 9 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 9 2 2 2 2 2 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 Output: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 9 9 9 2 2 2 4 4 4 2 2 2 2 2 9 4 9 1 2 1 4 9 4 2 2 2 2 2 9 9 9 2 2 2 4 4 4 2 2 2 2 2 2 1 2 2 2 2 2 1 2 2 2 2 2 2 2 1 2 2 2 2 2 1 2 2 2 2 2 2 4 4 4 2 2 2 9 9 9 2 2 2 2 2 4 9 4 1 2 1 9 4 9 2 2 2 2 2 4 4 4 2 2 2 9 9 9 2 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2 2 2 2 2 2 2 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	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n3 3 3 2 2 2 2 2 2 2 2 6 6 6 2 2 2\n3 6 3 1 2 1 2 2 1 2 1 6 3 6 2 2 2\n3 3 3 2 2 2 2 2 2 2 2 6 6 6 2 2 2\n2 1 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 1 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 1 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 1 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2\n6 6 6 2 2 2 2 2 2 2 2 3 3 3 2 2 2\n6 3 6 1 2 1 2 2 1 2 1 3 6 3 2 2 2\n6 6 6 2 2 2 2 2 2 2 2 3 3 3 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 9 2 2 2 2 7 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 7 2 2 2 2 9 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\nOutput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 7 7 7 2 2 9 9 9 2 2\n2 2 2 2 2 2 2 7 9 7 1 1 9 7 9 2 2\n2 2 2 2 2 2 2 7 7 7 2 2 9 9 9 2 2\n2 2 2 2 2 2 2 2 1 2 2 2 2 1 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 1 2 2 2 2 1 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 1 2 2 2 2 1 2 2 2\n2 2 2 2 2 2 2 9 9 9 2 2 7 7 7 2 2\n2 2 2 2 2 2 2 9 7 9 1 1 7 9 7 2 2\n2 2 2 2 2 2 2 9 9 9 2 2 7 7 7 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n\nExample 2:\n\nInput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 3 2 2 2 2 2 2 2 2 2 2 7 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 7 2 2 2 2 2 2 2 2 2 2 3 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\nOutput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 7 7 7 2 2 2 2 2 2 2 2 3 3 3 2 2\n2 7 3 7 1 2 1 2 2 1 2 1 3 7 3 2 2\n2 7 7 7 2 2 2 2 2 2 2 2 3 3 3 2 2\n2 2 1 2 2 2 2 2 2 2 2 2 2 1 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 1 2 2 2 2 2 2 2 2 2 2 1 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 1 2 2 2 2 2 2 2 2 2 2 1 2 2 2\n2 3 3 3 2 2 2 2 2 2 2 2 7 7 7 2 2\n2 3 7 3 1 2 1 2 2 1 2 1 7 3 7 2 2\n2 3 3 3 2 2 2 2 2 2 2 2 7 7 7 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n\nExample 3:\n\nInput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 4 2 2 2 2 2 2 2 2 2 6 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 6 2 2 2 2 2 2 2 2 2 4 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\nOutput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 6 6 6 2 2 2 2 2 2 2 4 4 4 2 2\n2 2 6 4 6 1 2 1 2 1 2 1 4 6 4 2 2\n2 2 6 6 6 2 2 2 2 2 2 2 4 4 4 2 2\n2 2 2 1 2 2 2 2 2 2 2 2 2 1 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 1 2 2 2 2 2 2 2 2 2 1 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 1 2 2 2 2 2 2 2 2 2 1 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 1 2 2 2 2 2 2 2 2 2 1 2 2 2\n2 2 4 4 4 2 2 2 2 2 2 2 6 6 6 2 2\n2 2 4 6 4 1 2 1 2 1 2 1 6 4 6 2 2\n2 2 4 4 4 2 2 2 2 2 2 2 6 6 6 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n\nExample 4:\n\nInput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 4 2 2 2 2 2 9 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 9 2 2 2 2 2 4 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\nOutput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 9 9 9 2 2 2 4 4 4 2\n2 2 2 2 9 4 9 1 2 1 4 9 4 2\n2 2 2 2 9 9 9 2 2 2 4 4 4 2\n2 2 2 2 2 1 2 2 2 2 2 1 2 2\n2 2 2 2 2 1 2 2 2 2 2 1 2 2\n2 2 2 2 4 4 4 2 2 2 9 9 9 2\n2 2 2 2 4 9 4 1 2 1 9 4 9 2\n2 2 2 2 4 4 4 2 2 2 9 9 9 2\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 6 2 2 2 2 2 2 2 2 2 2 3 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 3 2 2 2 2 2 2 2 2 2 2 6 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n", "answer": "2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n3 3 3 2 2 2 2 2 2 2 2 6 6 6 2 2 2\n3 6 3 1 2 1 2 2 1 2 1 6 3 6 2 2 2\n3 3 3 2 2 2 2 2 2 2 2 6 6 6 2 2 2\n2 1 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 1 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 1 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2\n2 1 2 2 2 2 2 2 2 2 2 2 1 2 2 2 2\n6 6 6 2 2 2 2 2 2 2 2 3 3 3 2 2 2\n6 3 6 1 2 1 2 2 1 2 1 3 6 3 2 2 2\n6 6 6 2 2 2 2 2 2 2 2 3 3 3 2 2 2\n2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2", "metadata": {"source_dataset": "arc_agi", "source_index": 96, "input": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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]], "output": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 2, 2, 2], [3, 6, 3, 1, 2, 1, 2, 2, 1, 2, 1, 6, 3, 6, 2, 2, 2], [3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 2, 2, 2], [2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2], [6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2], [6, 3, 6, 1, 2, 1, 2, 2, 1, 2, 1, 3, 6, 3, 2, 2, 2], [6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "task_id": "f35d900a", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}}}	{"source_dataset": "arc_agi", "source_index": 96, "input": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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]], "output": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 2, 2, 2], [3, 6, 3, 1, 2, 1, 2, 2, 1, 2, 1, 6, 3, 6, 2, 2, 2], [3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 6, 2, 2, 2], [2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2], [6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2], [6, 3, 6, 1, 2, 1, 2, 2, 1, 2, 1, 3, 6, 3, 2, 2, 2], [6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "task_id": "f35d900a", "difficulty": {"rotations_weights": [0.25, 0.25, 0.25, 0.25], "mirrors_weights": [0.2, 0.2, 0.2, 0.2, 0.2]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 7 7 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 7 7 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 8 1 1 7 1 1 1 1 8 8 1 1 7 7 1 1 1 1 8 1 1 7 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 7 7 1 1 1 1 1 1 1 7 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 7 7 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Output: 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 8 8 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 8 8 1 1 1 1 1 1 1 1 8 1 1 1 1 1 7 1 1 1 1 8 1 1 1 7 7 1 1 8 8 1 1 1 7 1 1 1 1 8 1 1 1 1 1 1 8 1 1 1 1 1 1 1 8 8 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 8 1 1 1 1 1 1 1 8 8 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Example 2: Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 5 5 1 1 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 1 5 1 1 7 7 7 1 5 5 1 1 1 1 7 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 Output: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 7 7 7 1 1 1 1 1 1 1 7 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 1 1 7 1 1 1 5 5 1 1 7 7 7 1 1 1 1 5 1 1 7 1 1 1 1 1 1 1 1 1 1 1 Example 3: Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9 1 1 1 1 1 1 1 1 1 9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 8 1 1 8 1 1 1 1 1 8 1 1 8 1 1 8 1 1 1 1 1 1 1 1 1 1 1 1 Output: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9 1 1 1 1 1 1 1 1 1 9 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 9 1 1 9 1 1 9 1 1 1 9 1 1 9 1 1 9 1 1 1 1 1 1 1 1 1 1 1 1 1 Example 4: Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 1 1 3 1 1 1 1 5 1 1 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 3 1 1 1 1 3 3 1 3 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 1 1 1 1 1 3 3 1 1 1 1 1 1 1 1 1 1 Output: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 5 5 1 1 1 1 3 3 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 1 5 5 1 1 1 1 5 1 1 5 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 5 5 1 1 1 1 1 1 1 5 1 1 1 1 1 1 1 1 1 1 1 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 0 1 1 1 1 1 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 6 6 6 1 0 1 0 1 1 1 1 1 1 6 1 0 0 1 1 1 1 1 1 6 6 1 0 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 6 6 6 1 6 6 6 1\n1 1 1 1 1 6 1 1 1 6 1\n1 1 1 1 6 6 1 1 6 6 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 0 1 0 1 6 6 6 1\n1 1 1 0 0 1 1 1 1 6 1\n1 1 1 0 1 0 1 1 6 6 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n1 1 1 1 1 1 1 1 1\n1 1 7 1 1 1 1 1 1\n1 1 7 7 1 1 1 1 1\n1 1 7 1 1 1 1 1 1\n1 1 1 1 7 1 1 1 1\n1 1 1 1 7 7 1 1 1\n1 1 1 1 7 1 1 1 1\n1 1 1 8 1 1 7 1 1\n1 1 8 8 1 1 7 7 1\n1 1 1 8 1 1 7 1 1\n1 1 1 1 7 1 1 1 1\n1 1 1 1 7 7 1 1 1\n1 1 1 1 7 1 1 1 1\n1 1 7 1 1 1 1 1 1\n1 1 7 7 1 1 1 1 1\n1 1 7 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1\nOutput:\n1 1 1 1 1 1 1 1 1\n1 1 1 8 1 1 1 1 1\n1 1 8 8 1 1 1 1 1\n1 1 1 8 1 1 1 1 1\n1 1 1 1 1 8 1 1 1\n1 1 1 1 8 8 1 1 1\n1 1 1 1 1 8 1 1 1\n1 1 7 1 1 1 1 8 1\n1 1 7 7 1 1 8 8 1\n1 1 7 1 1 1 1 8 1\n1 1 1 1 1 8 1 1 1\n1 1 1 1 8 8 1 1 1\n1 1 1 1 1 8 1 1 1\n1 1 1 8 1 1 1 1 1\n1 1 8 8 1 1 1 1 1\n1 1 1 8 1 1 1 1 1\n1 1 1 1 1 1 1 1 1\n\nExample 2:\n\nInput:\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 5 1\n1 1 1 1 1 5 5 1 1\n1 1 1 1 1 1 1 5 1\n1 1 1 1 1 1 1 1 1\n1 1 7 1 1 1 1 5 1\n1 7 7 7 1 5 5 1 1\n1 1 7 1 1 1 1 5 1\n1 1 1 1 1 1 1 1 1\nOutput:\n1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 7 1 1\n1 1 1 1 1 7 7 7 1\n1 1 1 1 1 1 7 1 1\n1 1 1 1 1 1 1 1 1\n1 1 1 5 1 1 7 1 1\n1 5 5 1 1 7 7 7 1\n1 1 1 5 1 1 7 1 1\n1 1 1 1 1 1 1 1 1\n\nExample 3:\n\nInput:\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 9 1\n1 1 1 1 1 1 1 1 9 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 8 1 1\n1 1 1 1 1 1 1 1 1 8 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 8 1 1 8 1 1 8 1 1\n1 1 1 8 1 1 8 1 1 8 1\n1 1 1 1 1 1 1 1 1 1 1\nOutput:\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 8 1 1\n1 1 1 1 1 1 1 1 1 8 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 9 1\n1 1 1 1 1 1 1 1 9 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 9 1 1 9 1 1 9 1\n1 1 9 1 1 9 1 1 9 1 1\n1 1 1 1 1 1 1 1 1 1 1\n\nExample 4:\n\nInput:\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\n1 1 1 5 5 1 1 3 1\n1 1 1 5 1 1 3 3 1\n1 1 1 1 1 1 1 1 1\n1 1 1 1 3 1 1 3 1\n1 1 1 3 3 1 3 3 1\n1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 3 1\n1 1 1 1 1 1 3 3 1\n1 1 1 1 1 1 1 1 1\nOutput:\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\n1 1 1 1 3 1 5 5 1\n1 1 1 3 3 1 5 1 1\n1 1 1 1 1 1 1 1 1\n1 1 1 5 5 1 5 5 1\n1 1 1 5 1 1 5 1 1\n1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 5 5 1\n1 1 1 1 1 1 5 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 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 0 1 0 1 0 1 0 1\n1 1 1 0 0 1 1 0 0 1 1\n1 1 1 0 1 0 1 0 1 0 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 6 6 6 1 0 1 0 1\n1 1 1 1 1 6 1 0 0 1 1\n1 1 1 1 6 6 1 0 1 0 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n", "answer": "1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 6 6 6 1 6 6 6 1\n1 1 1 1 1 6 1 1 1 6 1\n1 1 1 1 6 6 1 1 6 6 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 0 1 0 1 6 6 6 1\n1 1 1 0 0 1 1 1 1 6 1\n1 1 1 0 1 0 1 1 6 6 1\n1 1 1 1 1 1 1 1 1 1 1\n1 1 1 1 1 1 1 1 1 1 1", "metadata": {"source_dataset": "arc_agi", "source_index": 97, "input": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1], [1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 6, 6, 6, 1, 0, 1, 0, 1], [1, 1, 1, 1, 1, 6, 1, 0, 0, 1, 1], [1, 1, 1, 1, 6, 6, 1, 0, 1, 0, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], "output": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 6, 6, 6, 1, 6, 6, 6, 1], [1, 1, 1, 1, 1, 6, 1, 1, 1, 6, 1], [1, 1, 1, 1, 6, 6, 1, 1, 6, 6, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 0, 1, 6, 6, 6, 1], [1, 1, 1, 0, 0, 1, 1, 1, 1, 6, 1], [1, 1, 1, 0, 1, 0, 1, 1, 6, 6, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], "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": 97, "input": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1], [1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 6, 6, 6, 1, 0, 1, 0, 1], [1, 1, 1, 1, 1, 6, 1, 0, 0, 1, 1], [1, 1, 1, 1, 6, 6, 1, 0, 1, 0, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], "output": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 6, 6, 6, 1, 6, 6, 6, 1], [1, 1, 1, 1, 1, 6, 1, 1, 1, 6, 1], [1, 1, 1, 1, 6, 6, 1, 1, 6, 6, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 0, 1, 0, 1, 6, 6, 6, 1], [1, 1, 1, 0, 0, 1, 1, 1, 1, 6, 1], [1, 1, 1, 0, 1, 0, 1, 1, 6, 6, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]], "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]}}
null	General Reasoning	reasoning_gym	Find the common rule that maps an input grid to an output grid, given the examples below. Example 1: Input: 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 Output: 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 7 1 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 1 7 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 7 1 7 1 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 1 7 1 7 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 7 1 7 1 7 1 7 7 7 7 7 4 7 7 7 7 7 7 7 1 7 1 7 1 7 1 1 1 1 1 1 4 1 1 1 1 1 1 7 1 7 1 7 1 7 1 7 7 7 7 7 4 7 7 7 7 7 1 7 1 7 1 7 1 7 1 7 1 1 1 1 4 1 1 1 1 7 1 7 1 7 1 7 1 7 1 7 1 7 7 7 4 7 7 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 1 4 1 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 4 7 1 7 1 7 1 7 1 7 1 7 1 7 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 7 1 7 1 7 4 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 1 4 1 1 7 1 7 1 7 1 7 1 7 1 7 1 7 1 7 7 7 4 7 7 7 1 7 1 7 1 7 1 7 1 7 1 7 1 1 1 1 4 1 1 1 1 7 1 7 1 7 1 7 1 7 1 7 7 7 7 7 4 7 7 7 7 7 1 7 1 7 1 7 1 7 1 1 1 1 1 1 4 1 1 1 1 1 1 7 1 7 1 7 1 7 1 7 7 7 7 7 4 7 7 7 7 7 7 7 1 7 1 7 1 7 1 Example 2: Input: 7 7 7 7 4 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 4 4 4 4 4 4 4 4 4 4 7 7 7 7 4 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 Output: 1 7 7 7 4 7 7 7 1 7 1 7 1 1 4 1 1 7 1 7 1 7 1 7 4 7 1 7 1 7 4 4 4 4 4 4 4 4 4 4 1 7 1 7 4 7 1 7 1 7 1 7 1 1 4 1 1 7 1 7 1 7 7 7 4 7 7 7 1 7 1 1 1 1 4 1 1 1 1 7 7 7 7 7 4 7 7 7 7 7 1 1 1 1 4 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: 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 4 4 4 4 4 4 4 4 4 4 4 4 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "1 7 1 7 7 7 7 7 4 7 7 7\n1 7 1 7 1 1 1 1 4 1 1 1\n1 7 1 7 1 7 7 7 4 7 7 7\n1 7 1 7 1 7 1 1 4 1 1 7\n1 7 1 7 1 7 1 7 4 7 1 7\n4 4 4 4 4 4 4 4 4 4 4 4\n1 7 1 7 1 7 1 7 4 7 1 7\n1 7 1 7 1 7 1 1 4 1 1 7\n1 7 1 7 1 7 7 7 4 7 7 7\n1 7 1 7 1 1 1 1 4 1 1 1\n1 7 1 7 7 7 7 7 4 7 7 7\n1 7 1 1 1 1 1 1 4 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:\n7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7\n7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7\nOutput:\n1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 7 1\n7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 1 7 1\n1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 7 1 7 1\n7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 1 7 1 7 1\n1 1 1 1 1 4 1 1 1 1 1 1 1 1 7 1 7 1 7 1\n7 7 7 7 7 4 7 7 7 7 7 7 7 1 7 1 7 1 7 1\n1 1 1 1 1 4 1 1 1 1 1 1 7 1 7 1 7 1 7 1\n7 7 7 7 7 4 7 7 7 7 7 1 7 1 7 1 7 1 7 1\n7 1 1 1 1 4 1 1 1 1 7 1 7 1 7 1 7 1 7 1\n7 1 7 7 7 4 7 7 7 1 7 1 7 1 7 1 7 1 7 1\n7 1 7 1 1 4 1 1 7 1 7 1 7 1 7 1 7 1 7 1\n7 1 7 1 7 4 7 1 7 1 7 1 7 1 7 1 7 1 7 1\n4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4\n7 1 7 1 7 4 7 1 7 1 7 1 7 1 7 1 7 1 7 1\n7 1 7 1 1 4 1 1 7 1 7 1 7 1 7 1 7 1 7 1\n7 1 7 7 7 4 7 7 7 1 7 1 7 1 7 1 7 1 7 1\n7 1 1 1 1 4 1 1 1 1 7 1 7 1 7 1 7 1 7 1\n7 7 7 7 7 4 7 7 7 7 7 1 7 1 7 1 7 1 7 1\n1 1 1 1 1 4 1 1 1 1 1 1 7 1 7 1 7 1 7 1\n7 7 7 7 7 4 7 7 7 7 7 7 7 1 7 1 7 1 7 1\n\nExample 2:\n\nInput:\n7 7 7 7 4 7 7 7 7 7\n7 7 7 7 4 7 7 7 7 7\n7 7 7 7 4 7 7 7 7 7\n4 4 4 4 4 4 4 4 4 4\n7 7 7 7 4 7 7 7 7 7\n7 7 7 7 4 7 7 7 7 7\n7 7 7 7 4 7 7 7 7 7\n7 7 7 7 4 7 7 7 7 7\n7 7 7 7 4 7 7 7 7 7\n7 7 7 7 4 7 7 7 7 7\nOutput:\n1 7 7 7 4 7 7 7 1 7\n1 7 1 1 4 1 1 7 1 7\n1 7 1 7 4 7 1 7 1 7\n4 4 4 4 4 4 4 4 4 4\n1 7 1 7 4 7 1 7 1 7\n1 7 1 1 4 1 1 7 1 7\n1 7 7 7 4 7 7 7 1 7\n1 1 1 1 4 1 1 1 1 7\n7 7 7 7 4 7 7 7 7 7\n1 1 1 1 4 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:\n7 7 7 7 7 7 7 7 4 7 7 7\n7 7 7 7 7 7 7 7 4 7 7 7\n7 7 7 7 7 7 7 7 4 7 7 7\n7 7 7 7 7 7 7 7 4 7 7 7\n7 7 7 7 7 7 7 7 4 7 7 7\n4 4 4 4 4 4 4 4 4 4 4 4\n7 7 7 7 7 7 7 7 4 7 7 7\n7 7 7 7 7 7 7 7 4 7 7 7\n7 7 7 7 7 7 7 7 4 7 7 7\n7 7 7 7 7 7 7 7 4 7 7 7\n7 7 7 7 7 7 7 7 4 7 7 7\n7 7 7 7 7 7 7 7 4 7 7 7\n", "answer": "1 7 1 7 7 7 7 7 4 7 7 7\n1 7 1 7 1 1 1 1 4 1 1 1\n1 7 1 7 1 7 7 7 4 7 7 7\n1 7 1 7 1 7 1 1 4 1 1 7\n1 7 1 7 1 7 1 7 4 7 1 7\n4 4 4 4 4 4 4 4 4 4 4 4\n1 7 1 7 1 7 1 7 4 7 1 7\n1 7 1 7 1 7 1 1 4 1 1 7\n1 7 1 7 1 7 7 7 4 7 7 7\n1 7 1 7 1 1 1 1 4 1 1 1\n1 7 1 7 7 7 7 7 4 7 7 7\n1 7 1 1 1 1 1 1 4 1 1 1", "metadata": {"source_dataset": "arc_agi", "source_index": 98, "input": [[7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7]], "output": [[1, 7, 1, 7, 7, 7, 7, 7, 4, 7, 7, 7], [1, 7, 1, 7, 1, 1, 1, 1, 4, 1, 1, 1], [1, 7, 1, 7, 1, 7, 7, 7, 4, 7, 7, 7], [1, 7, 1, 7, 1, 7, 1, 1, 4, 1, 1, 7], [1, 7, 1, 7, 1, 7, 1, 7, 4, 7, 1, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [1, 7, 1, 7, 1, 7, 1, 7, 4, 7, 1, 7], [1, 7, 1, 7, 1, 7, 1, 1, 4, 1, 1, 7], [1, 7, 1, 7, 1, 7, 7, 7, 4, 7, 7, 7], [1, 7, 1, 7, 1, 1, 1, 1, 4, 1, 1, 1], [1, 7, 1, 7, 7, 7, 7, 7, 4, 7, 7, 7], [1, 7, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1]], "task_id": "759f3fd3", "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": 98, "input": [[7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7]], "output": [[1, 7, 1, 7, 7, 7, 7, 7, 4, 7, 7, 7], [1, 7, 1, 7, 1, 1, 1, 1, 4, 1, 1, 1], [1, 7, 1, 7, 1, 7, 7, 7, 4, 7, 7, 7], [1, 7, 1, 7, 1, 7, 1, 1, 4, 1, 1, 7], [1, 7, 1, 7, 1, 7, 1, 7, 4, 7, 1, 7], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [1, 7, 1, 7, 1, 7, 1, 7, 4, 7, 1, 7], [1, 7, 1, 7, 1, 7, 1, 1, 4, 1, 1, 7], [1, 7, 1, 7, 1, 7, 7, 7, 4, 7, 7, 7], [1, 7, 1, 7, 1, 1, 1, 1, 4, 1, 1, 1], [1, 7, 1, 7, 7, 7, 7, 7, 4, 7, 7, 7], [1, 7, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1]], "task_id": "759f3fd3", "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 9 9 9 9 9 2 9 9 9 9 4 9 9 9 9 2 2 9 4 4 4 9 9 2 9 9 9 9 4 9 9 9 9 9 9 9 9 9 9 9 9 2 9 9 9 9 9 9 9 9 9 2 2 9 9 9 9 9 9 2 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 9 9 9 9 9 9 9 9 9 9 9 4 9 9 2 9 9 9 9 4 4 4 9 9 2 2 9 9 9 4 9 9 2 9 9 9 9 9 9 9 9 9 9 9 9 9 9 4 9 9 9 9 9 9 9 4 4 4 9 9 9 9 9 9 9 4 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Example 2: Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 4 9 9 9 9 9 9 9 4 4 9 9 9 9 9 9 9 9 4 9 9 9 9 9 9 4 9 9 9 9 9 9 9 4 4 9 9 9 9 9 9 9 9 4 9 9 9 9 9 9 4 9 9 1 9 9 9 9 4 4 9 9 1 1 9 9 9 9 4 9 9 1 9 9 9 9 9 9 9 4 9 9 9 9 9 9 9 4 4 9 9 9 9 9 9 9 9 4 9 9 9 9 9 9 9 9 9 9 4 9 9 9 9 9 9 9 4 4 9 9 9 9 9 9 9 9 4 9 9 9 9 9 9 9 9 9 9 9 Output: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 9 9 9 9 9 9 9 9 1 1 9 9 9 9 9 9 9 1 9 9 9 9 9 9 1 9 9 9 9 9 9 9 9 1 1 9 9 9 9 9 9 9 1 9 9 9 9 9 9 1 9 9 9 9 4 9 9 9 1 1 9 9 4 4 9 9 9 1 9 9 9 9 4 9 9 9 9 9 1 9 9 9 9 9 9 9 9 1 1 9 9 9 9 9 9 9 1 9 9 9 9 9 9 9 9 9 9 1 9 9 9 9 9 9 9 9 1 1 9 9 9 9 9 9 9 1 9 9 9 9 9 9 9 9 9 9 9 9 Example 3: Input: 9 9 9 9 9 9 9 9 9 9 9 9 1 9 9 1 9 9 1 9 9 9 9 9 1 9 9 1 9 9 1 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 9 9 9 9 9 9 9 9 9 9 9 1 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 9 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 0 9 9 0 9 9 9 0 9 9 0 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 1 9 9 9 9 9 9 9 9 9 9 9 1 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Example 4: Input: 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 8 8 9 9 9 9 8 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 2 9 9 9 9 8 9 9 2 2 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Output: 9 9 9 9 9 9 9 9 9 9 9 2 9 9 9 9 9 9 9 2 2 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 2 9 9 2 9 9 9 9 2 2 9 2 2 9 9 9 9 9 9 9 9 9 9 9 9 9 9 2 9 8 8 9 9 9 9 2 2 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 Below is a test input grid. Predict the corresponding output grid by applying the rule you found. In your response, you should put your predicted grid after "Final Answer:" and nothing else after it. Input: 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 3 9 3 9 5 5 9 9 9 9 9 9 3 3 9 5 9 9 9 9 9 9 3 9 3 9 5 5 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 3 9 3 9 3 9 3 9 9 9 9 9 3 3 9 9 3 3 9 9 9 9 3 9 3 9 3 9 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9	{"reasoning_gym_dataset": "arc_agi", "ground_truth": "9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9\n9 5 5 9 9 3 9 3 9 9 9\n9 5 9 9 9 9 3 3 9 9 9\n9 5 5 5 9 3 9 3 9 9 9\n9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9\n9 5 5 9 9 5 5 9 9 9 9\n9 5 9 9 9 5 9 9 9 9 9\n9 5 5 5 9 5 5 5 9 9 9\n9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9", "reasoning_gym_entry": {"question": "Find the common rule that maps an input grid to an output grid, given the examples below.\n\nExample 1:\n\nInput:\n9 9 9 9 9 9 9 9 9\n9 2 9 9 9 9 4 9 9\n9 9 2 2 9 4 4 4 9\n9 2 9 9 9 9 4 9 9\n9 9 9 9 9 9 9 9 9\n9 2 9 9 9 9 9 9 9\n9 9 2 2 9 9 9 9 9\n9 2 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:\n9 9 9 9 9 9 9 9 9\n9 9 4 9 9 2 9 9 9\n9 4 4 4 9 9 2 2 9\n9 9 4 9 9 2 9 9 9\n9 9 9 9 9 9 9 9 9\n9 9 4 9 9 9 9 9 9\n9 4 4 4 9 9 9 9 9\n9 9 4 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9\n9 9 9 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 4 9 9\n9 9 9 9 9 4 4 9 9\n9 9 9 9 9 9 4 9 9\n9 9 9 9 4 9 9 9 9\n9 9 9 4 4 9 9 9 9\n9 9 9 9 4 9 9 9 9\n9 9 4 9 9 1 9 9 9\n9 4 4 9 9 1 1 9 9\n9 9 4 9 9 1 9 9 9\n9 9 9 9 4 9 9 9 9\n9 9 9 4 4 9 9 9 9\n9 9 9 9 4 9 9 9 9\n9 9 9 9 9 9 4 9 9\n9 9 9 9 9 4 4 9 9\n9 9 9 9 9 9 4 9 9\n9 9 9 9 9 9 9 9 9\nOutput:\n9 9 9 9 9 9 9 9 9\n9 9 9 9 9 1 9 9 9\n9 9 9 9 9 1 1 9 9\n9 9 9 9 9 1 9 9 9\n9 9 9 1 9 9 9 9 9\n9 9 9 1 1 9 9 9 9\n9 9 9 1 9 9 9 9 9\n9 1 9 9 9 9 4 9 9\n9 1 1 9 9 4 4 9 9\n9 1 9 9 9 9 4 9 9\n9 9 9 1 9 9 9 9 9\n9 9 9 1 1 9 9 9 9\n9 9 9 1 9 9 9 9 9\n9 9 9 9 9 1 9 9 9\n9 9 9 9 9 1 1 9 9\n9 9 9 9 9 1 9 9 9\n9 9 9 9 9 9 9 9 9\n\nExample 3:\n\nInput:\n9 9 9 9 9 9 9 9 9 9 9\n9 1 9 9 1 9 9 1 9 9 9\n9 9 1 9 9 1 9 9 1 9 9\n9 9 9 9 9 9 9 9 9 9 9\n9 1 9 9 9 9 9 9 9 9 9\n9 9 1 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9\n9 9 0 9 9 9 9 9 9 9 9\n9 0 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9\nOutput:\n9 9 9 9 9 9 9 9 9 9 9\n9 9 0 9 9 0 9 9 0 9 9\n9 0 9 9 0 9 9 0 9 9 9\n9 9 9 9 9 9 9 9 9 9 9\n9 9 0 9 9 9 9 9 9 9 9\n9 0 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9\n9 1 9 9 9 9 9 9 9 9 9\n9 9 1 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9\n\nExample 4:\n\nInput:\n9 9 9 9 9 9 9 9 9\n9 8 8 9 9 9 9 9 9\n9 8 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9\n9 8 8 9 8 8 9 9 9\n9 8 9 9 8 9 9 9 9\n9 9 9 9 9 9 9 9 9\n9 8 8 9 9 2 9 9 9\n9 8 9 9 2 2 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:\n9 9 9 9 9 9 9 9 9\n9 9 2 9 9 9 9 9 9\n9 2 2 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9\n9 9 2 9 9 2 9 9 9\n9 2 2 9 2 2 9 9 9\n9 9 9 9 9 9 9 9 9\n9 9 2 9 8 8 9 9 9\n9 2 2 9 8 9 9 9 9\n9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9\n\n\nBelow is a test input grid. Predict the corresponding output grid by applying the rule you found.\nYour final answer should just be the text output grid itself.\n\nInput:\n9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9\n9 3 9 3 9 5 5 9 9 9 9\n9 9 3 3 9 5 9 9 9 9 9\n9 3 9 3 9 5 5 5 9 9 9\n9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9\n9 3 9 3 9 3 9 3 9 9 9\n9 9 3 3 9 9 3 3 9 9 9\n9 3 9 3 9 3 9 3 9 9 9\n9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9\n", "answer": "9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9\n9 5 5 9 9 3 9 3 9 9 9\n9 5 9 9 9 9 3 3 9 9 9\n9 5 5 5 9 3 9 3 9 9 9\n9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9\n9 5 5 9 9 5 5 9 9 9 9\n9 5 9 9 9 5 9 9 9 9 9\n9 5 5 5 9 5 5 5 9 9 9\n9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9\n9 9 9 9 9 9 9 9 9 9 9", "metadata": {"source_dataset": "arc_agi", "source_index": 99, "input": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 3, 9, 3, 9, 5, 5, 9, 9, 9, 9], [9, 9, 3, 3, 9, 5, 9, 9, 9, 9, 9], [9, 3, 9, 3, 9, 5, 5, 5, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 3, 9, 3, 9, 3, 9, 3, 9, 9, 9], [9, 9, 3, 3, 9, 9, 3, 3, 9, 9, 9], [9, 3, 9, 3, 9, 3, 9, 3, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 5, 5, 9, 9, 3, 9, 3, 9, 9, 9], [9, 5, 9, 9, 9, 9, 3, 3, 9, 9, 9], [9, 5, 5, 5, 9, 3, 9, 3, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 5, 5, 9, 9, 5, 5, 9, 9, 9, 9], [9, 5, 9, 9, 9, 5, 9, 9, 9, 9, 9], [9, 5, 5, 5, 9, 5, 5, 5, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "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": 99, "input": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 3, 9, 3, 9, 5, 5, 9, 9, 9, 9], [9, 9, 3, 3, 9, 5, 9, 9, 9, 9, 9], [9, 3, 9, 3, 9, 5, 5, 5, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 3, 9, 3, 9, 3, 9, 3, 9, 9, 9], [9, 9, 3, 3, 9, 9, 3, 3, 9, 9, 9], [9, 3, 9, 3, 9, 3, 9, 3, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "output": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 5, 5, 9, 9, 3, 9, 3, 9, 9, 9], [9, 5, 9, 9, 9, 9, 3, 3, 9, 9, 9], [9, 5, 5, 5, 9, 3, 9, 3, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 5, 5, 9, 9, 5, 5, 9, 9, 9, 9], [9, 5, 9, 9, 9, 5, 9, 9, 9, 9, 9], [9, 5, 5, 5, 9, 5, 5, 5, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "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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