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{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[4, 4, 4, 1, 0, 3, 4, 8, 4, 1, 0, 2, 6],\n[4, 4, 4, 9, 4, 4, 4, 4, 2, 4, 0, 5, 4],\n[9, 4, 4, 4, 0, 4, 4, 4, 3, 6, 3, 2, 4]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[4, 4, 4, 1, 0, 3, 4, 8, 4, 1, 0, 2, 6],\n[4, 4, 4, 9, 4, 4, 4, 4, 2, 4, 0, 5, 4],\n[9, 4, 4, 4, 0, 4, 4, 4, 3, 6, 3, 2, 4],\n[9, 4, 4, 4, 0, 4, 4, 4, 3, 6, 3, 2, 4],\n[4, 4, 4, 9, 4, 4, 4, 4, 2, 4, 0, 5, 4],\n[4, 4, 4, 1, 0, 3, 4, 8, 4, 1, 0, 2, 6]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[3, 4, 7, 7, 7, 0, 0, 7, 7, 0, 7, 3, 0, 4, 7, 3, 4, 7, 7, 5, 4, 7, 7, 7, 7, 7],\n[4, 3, 7, 4, 0, 0, 7, 7, 7, 0, 3, 4, 7, 7, 4, 7, 0, 7, 7, 0, 4, 4, 7, 7, 0, 7],\n[3, 7, 0, 5, 7, 3, 0, 4, 7, 5, 4, 0, 7, 0, 7, 4, 7, 3, 7, 0, 7, 7, 5, 7, 7, 7],\n[7, 7, 0, 7, 7, 0, 4, 7, 7, 3, 4, 7, 7, 3, 7, 4, 0, 7, 0, 4, 5, 7, 0, 7, 0, 0],\n[7, 7, 3, 7, 4, 3, 3, 7, 7, 5, 7, 7, 7, 7, 4, 7, 7, 5, 0, 7, 5, 7, 4, 7, 7, 7]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[3, 4, 7, 7, 7, 0, 0, 7, 7, 0, 7, 3, 0, 4, 7, 3, 4, 7, 7, 5, 4, 7, 7, 7, 7, 7],\n[4, 3, 7, 4, 0, 0, 7, 7, 7, 0, 3, 4, 7, 7, 4, 7, 0, 7, 7, 0, 4, 4, 7, 7, 0, 7],\n[3, 7, 0, 5, 7, 3, 0, 4, 7, 5, 4, 0, 7, 0, 7, 4, 7, 3, 7, 0, 7, 7, 5, 7, 7, 7],\n[7, 7, 0, 7, 7, 0, 4, 7, 7, 3, 4, 7, 7, 3, 7, 4, 0, 7, 0, 4, 5, 7, 0, 7, 0, 0],\n[7, 7, 3, 7, 4, 3, 3, 7, 7, 5, 7, 7, 7, 7, 4, 7, 7, 5, 0, 7, 5, 7, 4, 7, 7, 7],\n[7, 7, 3, 7, 4, 3, 3, 7, 7, 5, 7, 7, 7, 7, 4, 7, 7, 5, 0, 7, 5, 7, 4, 7, 7, 7],\n[7, 7, 0, 7, 7, 0, 4, 7, 7, 3, 4, 7, 7, 3, 7, 4, 0, 7, 0, 4, 5, 7, 0, 7, 0, 0],\n[3, 7, 0, 5, 7, 3, 0, 4, 7, 5, 4, 0, 7, 0, 7, 4, 7, 3, 7, 0, 7, 7, 5, 7, 7, 7],\n[4, 3, 7, 4, 0, 0, 7, 7, 7, 0, 3, 4, 7, 7, 4, 7, 0, 7, 7, 0, 4, 4, 7, 7, 0, 7],\n[3, 4, 7, 7, 7, 0, 0, 7, 7, 0, 7, 3, 0, 4, 7, 3, 4, 7, 7, 5, 4, 7, 7, 7, 7, 7]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[3, 3, 2, 3, 3, 4, 3, 3, 3, 6],\n[5, 3, 8, 1, 3, 9, 3, 0, 6, 7]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[3, 3, 2, 3, 3, 4, 3, 3, 3, 6], [5, 3, 8, 1, 3, 9, 3, 0, 6, 7]], "task_key": "6fa7a44f"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 6, 6, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 6, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 6, 0, 0, 0, 0, 0, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 8, 8, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 8, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 2, 0, 0, 0, 0, 8, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 6, 6, 6, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 6, 6],\n[4, 4, 4, 4, 4, 4, 4, 6, 6],\n[4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 6, 6, 4],\n[4, 4, 4, 4, 4, 4, 6, 6, 4],\n[4, 4, 4, 4, 6, 4, 4, 4, 4],\n[6, 6, 4, 4, 6, 4, 4, 4, 4],\n[6, 6, 4, 4, 6, 4, 4, 4, 4],\n[4, 4, 6, 6, 4, 4, 4, 4, 4],\n[4, 4, 6, 6, 6, 6, 6, 4, 4],\n[4, 4, 4, 4, 6, 6, 6, 4, 4],\n[4, 4, 4, 4, 6, 4, 4, 4, 4]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 2, 2, 2, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 8, 8],\n[4, 4, 4, 4, 4, 4, 4, 8, 8],\n[4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 8, 8, 4],\n[4, 4, 4, 4, 4, 4, 8, 8, 4],\n[4, 4, 4, 4, 2, 4, 4, 4, 4],\n[8, 8, 4, 4, 2, 4, 4, 4, 4],\n[8, 8, 4, 4, 2, 4, 4, 4, 4],\n[4, 4, 8, 8, 4, 4, 4, 4, 4],\n[4, 4, 8, 8, 2, 8, 8, 4, 4],\n[4, 4, 4, 4, 2, 8, 8, 4, 4],\n[4, 4, 4, 4, 2, 4, 4, 4, 4]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[5, 5, 5, 7, 5, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 5],\n[7, 7, 7, 7, 5, 5, 5, 7, 7, 5, 5, 5, 5, 7, 7, 5, 5, 5, 5, 7, 5, 5, 5, 5, 5, 7, 7, 5, 5],\n[5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 7, 7, 7, 7, 7, 5, 7, 5, 5, 5, 5, 5, 5, 7, 7, 5],\n[5, 5, 7, 7, 7, 5, 5, 5, 5, 7, 5, 5, 5, 5, 7, 5, 7, 7, 5, 7, 5, 5, 5, 7, 7, 5, 7, 7, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 5, 5, 7, 5, 7, 7, 5, 5, 5, 5, 5, 7, 7, 5, 5, 5, 5],\n[5, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 7, 7, 5, 5, 5, 7, 7, 7, 5, 5, 5, 7, 7, 5, 5],\n[5, 5, 5, 7, 7, 7, 5, 5, 7, 7, 5, 5, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 5],\n[5, 5, 7, 7, 7, 7, 5, 5, 7, 7, 5, 5, 5, 5, 5, 7, 5, 5, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 5, 7, 7, 5, 5, 5, 5, 5, 7, 7, 7],\n[5, 5, 5, 5, 5, 5, 7, 7, 5, 5, 5, 5, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 7, 5, 7, 7, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 7, 7, 5, 5],\n[7, 7, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 7, 7, 5, 5, 7, 7, 5, 5, 5, 7, 7, 7, 5, 5, 7, 7, 5],\n[7, 7, 7, 7, 7, 5, 5, 5, 5, 7, 5, 5, 7, 7, 5, 5, 7, 7, 5, 5, 5, 5, 5, 5, 7, 5, 7, 7, 5],\n[5, 5, 5, 5, 5, 5, 7, 5, 5, 7, 5, 5, 5, 5, 5, 7, 7, 5, 5, 5, 5, 5, 7, 7, 7, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 7, 5, 5, 5, 5, 7, 7, 5, 5, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 7, 5, 5, 5, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 5, 5]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[5, 5, 5, 7, 5, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 5], [7, 7, 7, 7, 5, 5, 5, 7, 7, 5, 5, 5, 5, 7, 7, 5, 5, 5, 5, 7, 5, 5, 5, 5, 5, 7, 7, 5, 5], [5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 7, 7, 7, 7, 7, 5, 7, 5, 5, 5, 5, 5, 5, 7, 7, 5], [5, 5, 7, 7, 7, 5, 5, 5, 5, 7, 5, 5, 5, 5, 7, 5, 7, 7, 5, 7, 5, 5, 5, 7, 7, 5, 7, 7, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 5, 5, 7, 5, 7, 7, 5, 5, 5, 5, 5, 7, 7, 5, 5, 5, 5], [5, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 7, 7, 5, 5, 5, 7, 7, 7, 5, 5, 5, 7, 7, 5, 5], [5, 5, 5, 7, 7, 7, 5, 5, 7, 7, 5, 5, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 5], [5, 5, 7, 7, 7, 7, 5, 5, 7, 7, 5, 5, 5, 5, 5, 7, 5, 5, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 7, 7, 5, 5, 7, 7, 5, 5, 5, 5, 5, 7, 7, 7], [5, 5, 5, 5, 5, 5, 7, 7, 5, 5, 5, 5, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 7, 5, 7, 7, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 7, 7, 5, 5], [7, 7, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 7, 7, 5, 5, 7, 7, 5, 5, 5, 7, 7, 7, 5, 5, 7, 7, 5], [7, 7, 7, 7, 7, 5, 5, 5, 5, 7, 5, 5, 7, 7, 5, 5, 7, 7, 5, 5, 5, 5, 5, 5, 7, 5, 7, 7, 5], [5, 5, 5, 5, 5, 5, 7, 5, 5, 7, 5, 5, 5, 5, 5, 7, 7, 5, 5, 5, 5, 5, 7, 7, 7, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 7, 5, 5, 5, 5, 7, 7, 5, 5, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 7, 5, 5, 5, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 5, 5]], "task_key": "150deff5"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 8, 8, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 8, 1, 1, 0, 0, 0, 0, 0],\n[1, 8, 8, 0, 0, 0, 0, 8, 8, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0],\n[8, 8, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 8, 0, 0, 0, 0, 0],\n[1, 8, 1, 0, 0, 1, 8, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 8, 8, 1, 0, 0, 0, 0, 0, 0, 1, 8, 8, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 8, 8, 8, 0, 0, 0],\n[8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 8, 8, 8, 0, 0, 0],\n[1, 1, 8, 0, 8, 1, 8, 0, 0, 0, 1, 1, 8, 0, 0, 0, 0, 0, 0, 0],\n[8, 8, 8, 0, 1, 1, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[1, 1, 1],\n[1, 1, 1],\n[1, 1, 8]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 1, 1, 1, 1, 1, 1, 6, 0, 6, 1, 1, 1, 1, 1, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 1, 1, 6, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 1, 1, 1, 1, 1, 6, 1, 0, 6, 6, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 1, 6, 1, 1, 1, 1, 1, 0, 1, 1, 6, 1, 1, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[1, 1, 1, 1, 1, 1, 6],\n[1, 1, 6, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 6, 1],\n[1, 6, 1, 1, 1, 1, 1]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[6, 6, 6, 2, 2, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 2, 1, 1, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[2, 2, 2, 2, 1, 1, 6, 1, 2, 2, 1, 2, 2, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 1, 2, 2, 1, 2, 2, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[2, 2, 1, 1, 1, 1],\n[2, 1, 1, 2, 2, 2]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 3, 3, 5, 5, 5, 5, 5, 5],\n[5, 5, 3, 3, 5, 5, 5, 5, 5, 5],\n[5, 5, 3, 3, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 3, 3, 5, 5, 5, 5],\n[5, 5, 5, 5, 3, 3, 5, 5, 5, 5],\n[5, 5, 5, 5, 1, 3, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 3, 1, 5, 5],\n[5, 5, 5, 5, 5, 5, 3, 1, 5, 5],\n[5, 5, 5, 5, 5, 5, 1, 3, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 3, 3, 5, 5, 5, 5, 5, 5], [5, 5, 3, 3, 5, 5, 5, 5, 5, 5], [5, 5, 3, 3, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 3, 3, 5, 5, 5, 5], [5, 5, 5, 5, 3, 3, 5, 5, 5, 5], [5, 5, 5, 5, 1, 3, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 3, 1, 5, 5], [5, 5, 5, 5, 5, 5, 3, 1, 5, 5], [5, 5, 5, 5, 5, 5, 1, 3, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5]], "task_key": "ae4f1146"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[1, 1, 1, 5, 5, 1, 3, 3, 3, 3, 3, 5],\n[5, 5, 1, 1, 1, 1, 3, 3, 5, 3, 3, 3],\n[5, 5, 5, 1, 1, 5, 3, 3, 3, 3, 3, 3],\n[1, 1, 1, 5, 1, 5, 3, 3, 3, 3, 3, 3],\n[1, 5, 5, 1, 1, 5, 3, 5, 3, 3, 3, 3],\n[5, 1, 5, 1, 5, 5, 3, 3, 5, 5, 5, 5],\n[1, 5, 5, 5, 5, 1, 3, 3, 3, 3, 5, 3],\n[5, 5, 5, 1, 5, 5, 3, 3, 3, 3, 3, 5],\n[5, 5, 5, 5, 1, 5, 3, 3, 3, 3, 3, 3],\n[1, 5, 1, 1, 1, 5, 3, 3, 3, 3, 5, 5],\n[1, 5, 1, 1, 1, 5, 3, 3, 3, 3, 5, 3],\n[5, 5, 1, 5, 1, 5, 3, 3, 3, 3, 3, 3],\n[5, 5, 5, 5, 1, 5, 5, 3, 3, 5, 3, 3],\n[5, 1, 5, 5, 5, 5, 5, 3, 5, 3, 5, 3],\n[1, 5, 5, 5, 5, 1, 3, 3, 5, 3, 3, 5],\n[1, 5, 5, 1, 5, 1, 3, 3, 3, 3, 3, 3],\n[1, 5, 5, 5, 1, 1, 3, 5, 3, 3, 3, 3]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6],\n[6, 5, 6, 6, 6, 6],\n[6, 6, 5, 6, 5, 5],\n[6, 6, 6, 6, 5, 6],\n[6, 6, 6, 6, 6, 5],\n[6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 5],\n[6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6],\n[5, 6, 6, 5, 6, 6],\n[5, 6, 5, 6, 5, 6],\n[6, 6, 5, 6, 6, 6],\n[6, 6, 6, 6, 6, 6],\n[6, 5, 6, 6, 6, 6]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[1, 8, 1, 8, 8, 1, 3, 3, 3, 1],\n[1, 8, 8, 8, 1, 1, 1, 1, 3, 1],\n[1, 8, 8, 8, 8, 3, 1, 3, 1, 3],\n[1, 1, 8, 8, 8, 1, 3, 1, 3, 3],\n[1, 1, 8, 1, 8, 3, 3, 3, 1, 1],\n[8, 1, 8, 8, 1, 3, 3, 1, 3, 3],\n[1, 1, 8, 1, 1, 1, 1, 1, 1, 1],\n[1, 8, 1, 8, 1, 1, 3, 1, 3, 3],\n[8, 1, 1, 8, 8, 3, 1, 3, 3, 1],\n[8, 1, 1, 1, 1, 3, 3, 1, 1, 3],\n[8, 1, 8, 1, 1, 1, 3, 1, 1, 3],\n[1, 1, 8, 1, 8, 1, 1, 3, 1, 3],\n[1, 8, 8, 8, 8, 3, 3, 3, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 3, 3],\n[1, 1, 8, 8, 8, 1, 1, 1, 3, 1]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[1, 6, 6, 6, 6],\n[1, 6, 6, 6, 1],\n[6, 6, 6, 6, 6],\n[1, 6, 6, 6, 6],\n[6, 6, 6, 1, 6],\n[6, 6, 6, 6, 6],\n[1, 1, 6, 1, 1],\n[1, 6, 1, 6, 6],\n[6, 1, 6, 6, 6],\n[6, 6, 1, 1, 6],\n[6, 6, 6, 1, 6],\n[1, 1, 6, 1, 6],\n[6, 6, 6, 6, 6],\n[1, 1, 1, 6, 6],\n[1, 1, 6, 6, 6]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[2, 2, 8, 3, 3, 8],\n[8, 2, 8, 3, 8, 3],\n[8, 8, 8, 8, 8, 3],\n[8, 2, 8, 3, 8, 8],\n[2, 2, 8, 8, 8, 8],\n[2, 2, 8, 8, 3, 8],\n[2, 2, 8, 3, 8, 3],\n[2, 8, 8, 8, 8, 3],\n[8, 8, 8, 8, 8, 3],\n[2, 8, 2, 8, 8, 8],\n[8, 8, 2, 8, 3, 8],\n[8, 2, 2, 3, 3, 8],\n[2, 8, 8, 3, 3, 3]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[6, 6, 8],\n[6, 6, 6],\n[8, 8, 6],\n[6, 6, 8],\n[6, 6, 8],\n[6, 6, 8],\n[6, 6, 6],\n[6, 8, 6],\n[8, 8, 6],\n[6, 8, 6],\n[8, 6, 6],\n[6, 6, 6],\n[6, 6, 6]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1],\n[1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[9, 9, 9, 1, 9, 9, 9, 9, 9, 9, 1, 9],\n[9, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9, 9],\n[9, 9, 1, 1, 9, 9, 1, 1, 1, 9, 9, 9],\n[9, 1, 9, 9, 1, 9, 9, 1, 9, 1, 9, 9],\n[9, 1, 9, 1, 9, 9, 9, 1, 1, 1, 9, 9],\n[1, 9, 9, 9, 9, 9, 9, 1, 9, 1, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 1, 1, 9, 9, 9],\n[9, 1, 9, 9, 9, 9, 1, 9, 1, 1, 9, 9],\n[9, 1, 9, 1, 9, 9, 9, 9, 9, 1, 1, 1],\n[9, 9, 1, 9, 1, 9, 9, 1, 1, 9, 1, 1]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 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, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [9, 9, 9, 1, 9, 9, 9, 9, 9, 9, 1, 9], [9, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9, 9], [9, 9, 1, 1, 9, 9, 1, 1, 1, 9, 9, 9], [9, 1, 9, 9, 1, 9, 9, 1, 9, 1, 9, 9], [9, 1, 9, 1, 9, 9, 9, 1, 1, 1, 9, 9], [1, 9, 9, 9, 9, 9, 9, 1, 9, 1, 9, 9], [9, 9, 9, 9, 9, 9, 9, 1, 1, 9, 9, 9], [9, 1, 9, 9, 9, 9, 1, 9, 1, 1, 9, 9], [9, 1, 9, 1, 9, 9, 9, 9, 9, 1, 1, 1], [9, 9, 1, 9, 1, 9, 9, 1, 1, 9, 1, 1]], "task_key": "dae9d2b5"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 7, 7, 1, 7, 7, 7, 7, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 1, 3, 3, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 7, 7, 1, 7, 7, 7, 7, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 6],\n[6, 7, 7, 1, 7, 7, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 6],\n[6, 7, 7, 1, 7, 7, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 1, 3, 3, 6],\n[6, 7, 7, 1, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 1, 3, 3, 6],\n[6, 7, 7, 1, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 1, 3, 3, 6]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[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[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[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[4, 4, 4, 2, 2, 2, 2, 0, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 6, 6, 6, 2, 6, 6, 6, 4, 4, 4],\n[4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4],\n[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[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]\n``` \n **Output**: \n```arcmatrix\n[\n[4, 4, 4, 4, 4, 2, 2, 0, 2, 2, 4, 4, 4, 4, 4, 6, 6, 2, 6, 6, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 2, 2, 0, 2, 2, 4, 4, 4, 4, 4, 6, 6, 2, 6, 6, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 2, 2, 0, 2, 2, 4, 4, 4, 4, 4, 6, 6, 2, 6, 6, 4, 4, 4, 4],\n[4, 4, 4, 2, 2, 2, 2, 0, 2, 2, 4, 4, 4, 4, 4, 6, 6, 2, 6, 6, 4, 4, 4, 4],\n[4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 6, 6, 6, 2, 6, 6, 6, 4, 4, 4],\n[4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4],\n[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[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]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 9, 8, 8, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 9, 8, 8, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 9, 8, 8, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 9, 8, 8, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 9, 8, 8, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 9, 8, 8, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 9, 8, 8, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 9, 8, 8, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 9, 8, 8, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 9, 8, 8, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 9, 8, 8, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 9, 8, 8, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 9, 8, 8, 8, 8, 8, 8, 8, 8, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[8, 8, 8, 8, 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[8, 8, 8, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 8],\n[8, 8, 8, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 8],\n[8, 8, 8, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 8],\n[8, 8, 8, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 8],\n[8, 8, 8, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 0, 8],\n[8, 8, 8, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 8],\n[8, 8, 8, 9, 9, 9, 9, 9, 8, 8, 8, 8, 1, 1, 1, 1, 9, 1, 1, 1, 1, 1, 8, 9, 9, 9, 9, 8],\n[8, 8, 8, 0, 9, 9, 9, 9, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 9, 9, 9, 9, 8],\n[8, 8, 8, 9, 9, 9, 9, 9, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 9, 9, 9, 9, 8],\n[8, 8, 8, 9, 9, 9, 9, 9, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 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[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 8], [8, 8, 8, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 8], [8, 8, 8, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 8], [8, 8, 8, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 8], [8, 8, 8, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 0, 8], [8, 8, 8, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 8], [8, 8, 8, 9, 9, 9, 9, 9, 8, 8, 8, 8, 1, 1, 1, 1, 9, 1, 1, 1, 1, 1, 8, 9, 9, 9, 9, 8], [8, 8, 8, 0, 9, 9, 9, 9, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 9, 9, 9, 9, 8], [8, 8, 8, 9, 9, 9, 9, 9, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 9, 9, 9, 9, 8], [8, 8, 8, 9, 9, 9, 9, 9, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8], [8, 8, 8, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 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_key": "b527c5c6"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 5, 9, 9, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 5, 9, 9, 9, 9, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 5, 9, 9, 9, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 5, 5, 9, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 5, 5, 6, 9, 9, 9, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 5, 6, 6, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 6, 6, 6, 6, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 6, 6, 6, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 5, 5, 6, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 6, 6, 6, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 1, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 1, 5, 5, 5, 1, 1, 1, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 5, 1, 5, 1, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 1, 1, 1, 1, 1, 5, 1, 5, 5, 5, 1, 5, 5],\n[5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 5, 5, 5],\n[5, 1, 5, 1, 1, 1, 1, 1, 5, 1, 5, 1, 5, 5, 1, 5, 5],\n[5, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 1, 1, 5, 5, 5, 5],\n[5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 5, 1, 5],\n[5, 5, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 5, 5],\n[5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 5],\n[5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 5, 1, 5, 5, 5],\n[5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 5, 5, 5, 5, 5],\n[5, 5, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 5, 5, 5, 5, 5],\n[5, 1, 1, 5, 1, 1, 1, 5, 1, 1, 1, 1, 5, 5, 5, 5, 5],\n[5, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 5, 1, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 7, 5, 5, 5, 7, 7, 7, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 7, 5, 7, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 7, 7, 7, 7, 7, 5, 7, 5, 5, 5, 7, 5, 5],\n[5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 5, 5, 5],\n[5, 7, 5, 7, 7, 7, 7, 7, 5, 7, 5, 7, 5, 5, 7, 5, 5],\n[5, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 7, 7, 5, 5, 5, 5],\n[5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 5, 7, 5],\n[5, 5, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 5, 5],\n[5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 5],\n[5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 7, 5, 5, 5],\n[5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 5, 5, 5, 5, 5],\n[5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 5, 5, 5, 5, 5],\n[5, 7, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 5, 5, 5, 5, 5],\n[5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 7, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 7, 7, 2, 2, 2, 2, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 7, 7, 2, 7, 2, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 7, 2, 2, 2, 2, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 7, 2, 7, 2, 2, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 7, 8, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 7, 8, 8, 8, 8, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 8, 7, 8, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 8, 8, 8, 8, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 8, 7, 8, 8, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 0, 0, 0, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 0, 0, 0, 0, 0, 0, 0, 0, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 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, 0, 0, 0, 0, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 0, 9, 0, 0, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 0, 0, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 0, 0, 0, 0, 0, 0, 0, 0, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 0, 9, 0, 0, 0, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 0, 0, 0, 9, 0, 0, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 9, 0, 0, 0, 0, 0, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 0, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 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]], "task_key": "aabf363d"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 1, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 1, 3, 1, 5, 5, 5, 5, 5, 5, 1, 1, 1],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 1, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 1, 3, 1],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 1, 1, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 1, 3, 1, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0],\n[0, 6, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 9, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0],\n[0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0],\n[9, 9, 9, 0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 0, 9, 0, 0],\n[0, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0],\n[0, 0, 9, 0, 0, 9, 9, 9, 0, 0, 9, 0, 0, 9, 9, 9, 0],\n[0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 9, 9, 0],\n[0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 9, 0]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5],\n[2, 0, 5, 1, 5, 5, 5, 5],\n[4, 1, 7, 0, 8, 5, 5, 5],\n[9, 4, 1, 4, 8, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 3, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5],\n[2, 0, 5, 1, 5, 5, 5, 5],\n[4, 1, 7, 0, 8, 5, 5, 5],\n[9, 4, 1, 4, 8, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 2, 0, 5, 1, 5],\n[5, 5, 5, 4, 1, 7, 0, 8],\n[5, 5, 5, 9, 4, 1, 4, 8],\n[5, 5, 5, 5, 5, 5, 5, 5]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[3, 3, 3, 3, 9, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3],\n[3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 9, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 6, 7, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3],\n[3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 9, 3, 3, 3, 9, 3, 3, 3, 3, 9, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 9, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3],\n[3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 9, 3, 3, 3, 3, 3],\n[3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3],\n[3, 3, 3, 3, 9, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 9, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 9, 3],\n[3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3],\n[3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3],\n[3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3],\n[3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 9, 3],\n[3, 9, 3, 3, 3, 9, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 9, 3, 3, 3, 3],\n[3, 9, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 9, 3, 3, 3, 9, 3],\n[3, 3, 9, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 9, 3, 3]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[3, 3, 3, 3, 9, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3], [3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 9, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 6, 7, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3], [3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3], [3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 9, 3, 3, 3, 9, 3, 3, 3, 3, 9, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 9, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3], [3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 9, 3, 3, 3, 3, 3], [3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3], [3, 3, 3, 3, 9, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 9, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 9, 3], [3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3], [3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3], [3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3], [3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 9, 3], [3, 9, 3, 3, 3, 9, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 9, 3, 3, 3, 3], [3, 9, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 9, 3, 3, 3, 9, 3], [3, 3, 9, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 9, 3, 3]], "task_key": "88a10436"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[1, 1, 1, 1, 1, 8, 8, 8]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[1, 1, 1, 1, 1, 8, 8, 8],\n[1, 1, 1, 1, 1, 1, 8, 8],\n[1, 1, 1, 1, 1, 1, 1, 8],\n[1, 1, 1, 1, 1, 1, 1, 1]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[1, 1, 1, 1, 1, 1, 1, 1, 5, 5]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[1, 1, 1, 1, 1, 1, 1, 1, 5, 5],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 5],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 0, 5, 9, 7, 8, 2, 0, 7, 5, 7, 0, 9, 7, 6, 0, 0]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 0, 5, 9, 7, 8, 2, 0, 7, 5, 7, 0, 9, 7, 6, 0, 0],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 0, 5, 9, 7, 8, 2, 0, 7, 5, 7, 0, 9, 7, 6, 0],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 0, 5, 9, 7, 8, 2, 0, 7, 5, 7, 0, 9, 7, 6],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 0, 5, 9, 7, 8, 2, 0, 7, 5, 7, 0, 9, 7],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 0, 5, 9, 7, 8, 2, 0, 7, 5, 7, 0, 9],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 0, 5, 9, 7, 8, 2, 0, 7, 5, 7, 0],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 0, 5, 9, 7, 8, 2, 0, 7, 5, 7],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 0, 5, 9, 7, 8, 2, 0, 7, 5],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 0, 5, 9, 7, 8, 2, 0, 7],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 0, 5, 9, 7, 8, 2, 0],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 0, 5, 9, 7, 8, 2],\n[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, 0, 5, 9, 7, 8],\n[1, 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, 0, 5, 9, 7],\n[1, 1, 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, 0, 5, 9],\n[1, 1, 1, 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, 0, 5]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[1, 1, 1, 1, 7, 8, 3, 4, 4, 8, 4, 6, 6, 9, 6, 7, 9, 8, 7, 4]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[1, 1, 1, 1, 7, 8, 3, 4, 4, 8, 4, 6, 6, 9, 6, 7, 9, 8, 7, 4]], "task_key": "bbc9ae5d"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 6, 0, 6, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 6, 0, 0, 0, 6],\n[0, 0, 0, 0, 6, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 6, 0, 6, 0],\n[0, 0, 0, 0, 0, 6, 0, 0],\n[0, 0, 0, 0, 6, 0, 0, 0],\n[0, 0, 6, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0],\n[6, 0, 0, 0, 0, 0, 0, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 6, 8, 6, 0, 0, 0],\n[0, 0, 8, 0, 8, 0, 0, 0],\n[0, 0, 8, 0, 8, 0, 0, 0],\n[0, 0, 8, 6, 8, 8, 8, 6],\n[0, 0, 8, 0, 6, 0, 0, 8],\n[0, 0, 8, 0, 8, 0, 0, 8],\n[0, 0, 8, 0, 6, 8, 6, 8],\n[0, 0, 8, 0, 8, 6, 0, 8],\n[0, 0, 8, 0, 6, 0, 0, 8],\n[0, 0, 6, 0, 0, 0, 0, 8],\n[0, 0, 0, 0, 0, 0, 0, 8],\n[6, 8, 8, 8, 8, 8, 8, 6]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[5, 5, 5, 5, 5, 5, 4, 5],\n[5, 5, 5, 5, 5, 5, 4, 5],\n[5, 5, 5, 5, 5, 4, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[5, 5, 5, 5, 5, 5, 4, 5],\n[5, 5, 5, 5, 5, 5, 4, 5],\n[5, 5, 5, 5, 5, 4, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[2, 2, 7, 7, 2, 7, 2, 2, 7, 7, 2, 2],\n[2, 2, 2, 7, 2, 2, 2, 2, 2, 2, 2, 7],\n[2, 7, 2, 7, 2, 2, 2, 2, 7, 2, 2, 2],\n[2, 7, 2, 7, 7, 2, 2, 2, 2, 7, 2, 7],\n[2, 2, 2, 2, 7, 2, 7, 7, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 7, 2, 2, 2, 2, 7, 2, 2, 2, 2, 2],\n[2, 2, 2, 7, 2, 7, 2, 2, 2, 2, 7, 7],\n[2, 2, 2, 2, 7, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 7, 7, 2, 2, 2, 2, 7, 2, 7, 2],\n[2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 2, 2],\n[2, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 7, 2, 2, 2, 2, 2, 2, 2],\n[7, 7, 2, 7, 7, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7],\n[2, 7, 7, 2, 7, 2, 2, 2, 7, 2, 2, 2]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[2, 2, 7, 7, 8, 7, 8, 8, 7, 7, 2, 2],\n[2, 2, 8, 7, 8, 8, 8, 8, 8, 8, 8, 7],\n[2, 7, 8, 7, 8, 8, 8, 8, 7, 8, 2, 8],\n[2, 7, 8, 7, 7, 8, 8, 8, 8, 7, 8, 7],\n[2, 8, 8, 8, 7, 8, 7, 7, 8, 2, 2, 8],\n[2, 8, 8, 8, 8, 8, 8, 2, 8, 2, 2, 8],\n[2, 7, 8, 8, 8, 8, 7, 2, 8, 2, 2, 8],\n[2, 8, 8, 7, 8, 7, 8, 8, 8, 8, 7, 7],\n[2, 8, 8, 8, 7, 8, 2, 2, 8, 2, 8, 8],\n[2, 8, 7, 7, 8, 8, 8, 8, 7, 8, 7, 8],\n[2, 8, 8, 8, 8, 7, 2, 2, 8, 2, 2, 8],\n[2, 7, 8, 8, 8, 2, 2, 2, 8, 2, 2, 8],\n[2, 8, 8, 8, 7, 2, 2, 2, 8, 2, 2, 8],\n[7, 7, 8, 7, 7, 2, 2, 2, 8, 2, 2, 8],\n[2, 8, 8, 2, 8, 2, 2, 2, 8, 2, 2, 7],\n[2, 7, 7, 8, 7, 8, 8, 8, 7, 2, 2, 2]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[1, 6, 6, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6, 6, 6, 1, 6, 6, 6, 1, 6, 1, 6, 1, 1],\n[6, 6, 6, 6, 1, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 1, 1, 6, 6],\n[6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6, 1, 6, 1, 1, 1],\n[6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 1, 6, 6, 1, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 1, 6, 6, 6],\n[6, 1, 6, 6, 1, 6, 6, 1, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 1, 6, 6, 1, 1, 6, 6, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 1, 1, 6, 6, 6, 1, 1, 6, 6, 1, 6, 6, 6, 1, 6, 6, 1, 6, 6, 1, 6, 6, 6],\n[6, 6, 6, 1, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 1, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 1, 6, 6, 6, 1, 6, 6, 6, 1, 6],\n[6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 1, 1, 6],\n[6, 6, 1, 6, 6, 6, 1, 6, 1, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1],\n[6, 6, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 1, 6, 6, 1, 6, 6],\n[6, 6, 1, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 1, 6, 6, 6, 6],\n[1, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 1, 6, 1, 6, 6, 6, 6, 1, 6, 6, 1, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6],\n[1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6],\n[6, 1, 6, 6, 1, 6, 6, 6, 6, 6, 1, 6, 1, 6, 1, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6],\n[1, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6],\n[6, 6, 1, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6],\n[6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 1, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 1, 1, 6, 6, 6, 1, 6, 1, 1, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[1, 6, 6, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6, 6, 6, 1, 6, 6, 6, 1, 6, 1, 6, 1, 1], [6, 6, 6, 6, 1, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 1, 1, 6, 6], [6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6, 1, 6, 1, 1, 1], [6, 6, 6, 6, 6, 6, 6, 6, 1, 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, 1, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 1, 6, 6, 6], [6, 1, 6, 6, 1, 6, 6, 1, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 1, 6, 6, 1, 1, 6, 6, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 1, 1, 6, 6, 6, 1, 1, 6, 6, 1, 6, 6, 6, 1, 6, 6, 1, 6, 6, 1, 6, 6, 6], [6, 6, 6, 1, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 1, 6, 6, 6, 6, 6, 6], [6, 6, 6, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 1, 6, 6, 6, 1, 6, 6, 6, 1, 6], [6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 1, 1, 6], [6, 6, 1, 6, 6, 6, 1, 6, 1, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1], [6, 6, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 1, 6, 6, 1, 6, 6], [6, 6, 1, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 1, 6, 6, 6, 6], [1, 6, 6, 6, 6, 1, 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, 1, 6, 6, 6, 1, 6, 1, 6, 6, 6, 6, 1, 6, 6, 1, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6], [1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6], [6, 1, 6, 6, 1, 6, 6, 6, 6, 6, 1, 6, 1, 6, 1, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6], [1, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 1, 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, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6], [6, 6, 1, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6], [6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 1, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 1, 1, 6, 6, 6, 1, 6, 1, 1, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6]], "task_key": "dbc1a6ce"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[3, 3, 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[3, 3, 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[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 0, 3, 3],\n[3, 3, 0, 3, 0, 3, 0, 3, 6, 3, 4, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3],\n[3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 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``` \n **Output**: \n```arcmatrix\n[\n[3, 3, 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[3, 3, 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[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 0, 3, 0, 3, 3],\n[3, 3, 0, 3, 0, 3, 0, 3, 6, 3, 4, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 0, 3, 3, 0, 3, 0, 3, 3],\n[3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 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```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 8, 7, 2, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 2, 7, 2, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 8, 7],\n[7, 7, 7, 7, 7, 7, 2, 7, 8, 7, 2, 7, 7, 8, 7, 2, 7, 8, 7, 7, 2, 7, 2, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 7, 7, 2, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 8, 7, 2, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 2, 7, 2, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 8, 7, 8, 7],\n[7, 7, 7, 7, 7, 7, 2, 7, 8, 7, 2, 7, 7, 8, 7, 2, 7, 8, 7, 7, 2, 7, 2, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 8, 7, 2, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 1, 0, 2, 0, 0, 0, 7, 0, 0, 0],\n[0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 6, 0, 0, 0, 7, 0, 2, 0, 7, 0],\n[0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 2, 0, 1, 0, 0, 0, 0, 0, 7, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 1, 0, 2, 0, 0, 0, 7, 0, 0, 0], [0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 7, 0, 2, 0, 7, 0], [0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 1, 0, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 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_key": "11852cab"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 6, 3, 1, 6, 6, 6, 6, 3, 1, 6, 6, 6, 6, 3, 1, 6],\n[8, 8, 8, 5, 3, 9, 9, 1, 9, 5, 3, 9, 9, 1, 9, 5, 3, 9, 9],\n[8, 8, 8, 6, 1, 1, 6, 9, 9, 6, 1, 1, 6, 9, 9, 6, 1, 1, 6],\n[8, 8, 8, 9, 5, 6, 6, 9, 3, 9, 5, 6, 6, 9, 3, 9, 5, 6, 6],\n[8, 8, 8, 3, 7, 1, 6, 6, 9, 3, 7, 1, 6, 6, 9, 3, 7, 1, 6],\n[8, 8, 8, 7, 6, 1, 7, 3, 7, 7, 6, 1, 7, 3, 7, 7, 6, 1, 7],\n[8, 8, 8, 1, 6, 6, 5, 7, 9, 1, 6, 6, 5, 7, 9, 1, 6, 6, 5],\n[8, 8, 8, 6, 3, 1, 6, 6, 6, 6, 3, 1, 6, 6, 6, 6, 3, 1, 6],\n[8, 8, 8, 5, 3, 9, 9, 1, 9, 5, 3, 9, 9, 1, 9, 5, 3, 9, 9],\n[8, 8, 8, 6, 1, 1, 6, 9, 9, 6, 1, 1, 6, 9, 9, 6, 1, 1, 6],\n[8, 8, 8, 9, 5, 6, 6, 9, 3, 9, 5, 6, 6, 9, 3, 9, 5, 6, 6],\n[8, 8, 8, 3, 7, 1, 6, 6, 9, 3, 7, 1, 6, 6, 9, 3, 7, 1, 6],\n[8, 8, 8, 7, 6, 1, 7, 3, 7, 7, 6, 1, 7, 3, 7, 7, 6, 1, 7],\n[8, 8, 8, 1, 6, 6, 5, 7, 9, 1, 6, 6, 5, 7, 9, 1, 6, 6, 5],\n[8, 8, 8, 6, 3, 1, 6, 6, 6, 6, 3, 1, 6, 6, 6, 6, 3, 1, 6],\n[8, 8, 8, 5, 3, 9, 9, 1, 9, 5, 3, 9, 9, 1, 9, 5, 3, 9, 9],\n[8, 8, 8, 6, 1, 1, 6, 9, 9, 6, 1, 1, 6, 9, 9, 6, 1, 1, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[1, 6, 6, 9, 3, 7, 1, 6, 6, 9, 3, 7, 1, 6, 6, 9, 3, 7, 1],\n[1, 7, 3, 7, 7, 6, 1, 7, 3, 7, 7, 6, 1, 7, 3, 7, 7, 6, 1],\n[6, 5, 7, 9, 1, 6, 6, 5, 7, 9, 1, 6, 6, 5, 7, 9, 1, 6, 6],\n[1, 6, 6, 6, 6, 3, 1, 6, 6, 6, 6, 3, 1, 6, 6, 6, 6, 3, 1],\n[9, 9, 1, 9, 5, 3, 9, 9, 1, 9, 5, 3, 9, 9, 1, 9, 5, 3, 9],\n[1, 6, 9, 9, 6, 1, 1, 6, 9, 9, 6, 1, 1, 6, 9, 9, 6, 1, 1],\n[6, 6, 9, 3, 9, 5, 6, 6, 9, 3, 9, 5, 6, 6, 9, 3, 9, 5, 6],\n[1, 6, 6, 9, 3, 7, 1, 6, 6, 9, 3, 7, 1, 6, 6, 9, 3, 7, 1],\n[1, 7, 3, 7, 7, 6, 1, 7, 3, 7, 7, 6, 1, 7, 3, 7, 7, 6, 1],\n[6, 5, 7, 9, 1, 6, 6, 5, 7, 9, 1, 6, 6, 5, 7, 9, 1, 6, 6],\n[1, 6, 6, 6, 6, 3, 1, 6, 6, 6, 6, 3, 1, 6, 6, 6, 6, 3, 1],\n[9, 9, 1, 9, 5, 3, 9, 9, 1, 9, 5, 3, 9, 9, 1, 9, 5, 3, 9],\n[1, 6, 9, 9, 6, 1, 1, 6, 9, 9, 6, 1, 1, 6, 9, 9, 6, 1, 1],\n[6, 6, 9, 3, 9, 5, 6, 6, 9, 3, 9, 5, 6, 6, 9, 3, 9, 5, 6],\n[1, 6, 6, 9, 3, 7, 1, 6, 6, 9, 3, 7, 1, 6, 6, 9, 3, 7, 1],\n[1, 7, 3, 7, 7, 6, 1, 7, 3, 7, 7, 6, 1, 7, 3, 7, 7, 6, 1],\n[6, 5, 7, 9, 1, 6, 6, 5, 7, 9, 1, 6, 6, 5, 7, 9, 1, 6, 6],\n[1, 6, 6, 6, 6, 3, 1, 6, 6, 6, 6, 3, 1, 6, 6, 6, 6, 3, 1],\n[9, 9, 1, 9, 5, 3, 9, 9, 1, 9, 5, 3, 9, 9, 1, 9, 5, 3, 9],\n[1, 6, 9, 9, 6, 1, 1, 6, 9, 9, 6, 1, 1, 6, 9, 9, 6, 1, 1]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 9, 9, 9],\n[4, 2, 0, 4, 2, 0, 4, 2, 9, 9, 9, 9, 9],\n[1, 8, 8, 1, 8, 8, 1, 8, 9, 9, 9, 9, 9],\n[8, 0, 0, 8, 0, 0, 8, 0, 9, 9, 9, 9, 9],\n[8, 2, 4, 8, 2, 4, 8, 2, 9, 9, 9, 9, 9],\n[0, 5, 1, 0, 5, 1, 0, 5, 9, 9, 9, 9, 9],\n[0, 8, 0, 0, 8, 0, 0, 8, 9, 9, 9, 9, 9],\n[2, 8, 1, 2, 8, 1, 2, 8, 9, 9, 9, 9, 9],\n[1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 9, 9, 9],\n[4, 2, 0, 4, 2, 0, 4, 2, 9, 9, 9, 9, 9],\n[1, 8, 8, 1, 8, 8, 1, 8, 9, 9, 9, 9, 9],\n[8, 0, 0, 8, 0, 0, 8, 0, 9, 9, 9, 9, 9],\n[8, 2, 4, 8, 2, 4, 8, 2, 9, 9, 9, 9, 9],\n[0, 5, 1, 0, 5, 1, 0, 5, 9, 9, 9, 9, 9],\n[0, 8, 0, 0, 8, 0, 0, 8, 9, 9, 9, 9, 9],\n[2, 8, 1, 2, 8, 1, 2, 8, 9, 9, 9, 9, 9],\n[1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 9, 9, 9],\n[4, 2, 0, 4, 2, 0, 4, 2, 9, 9, 9, 9, 9],\n[1, 8, 8, 1, 8, 8, 1, 8, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[2, 0, 4, 2, 0, 4, 2, 0, 4, 2, 0, 4, 2],\n[8, 8, 1, 8, 8, 1, 8, 8, 1, 8, 8, 1, 8],\n[0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0],\n[2, 4, 8, 2, 4, 8, 2, 4, 8, 2, 4, 8, 2],\n[5, 1, 0, 5, 1, 0, 5, 1, 0, 5, 1, 0, 5],\n[8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8],\n[8, 1, 2, 8, 1, 2, 8, 1, 2, 8, 1, 2, 8],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[2, 0, 4, 2, 0, 4, 2, 0, 4, 2, 0, 4, 2],\n[8, 8, 1, 8, 8, 1, 8, 8, 1, 8, 8, 1, 8],\n[0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0],\n[2, 4, 8, 2, 4, 8, 2, 4, 8, 2, 4, 8, 2],\n[5, 1, 0, 5, 1, 0, 5, 1, 0, 5, 1, 0, 5],\n[8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8],\n[8, 1, 2, 8, 1, 2, 8, 1, 2, 8, 1, 2, 8],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[2, 0, 4, 2, 0, 4, 2, 0, 4, 2, 0, 4, 2],\n[8, 8, 1, 8, 8, 1, 8, 8, 1, 8, 8, 1, 8],\n[0, 0, 8, 0, 0, 8, 0, 0, 8, 0, 0, 8, 0]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 8, 2, 8, 8, 2, 8, 8, 2, 8, 8, 2, 8, 8, 2],\n[1, 1, 1, 1, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8],\n[1, 1, 1, 1, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2],\n[1, 1, 1, 1, 6, 2, 6, 6, 2, 6, 6, 2, 6, 6, 2, 6, 6, 2],\n[1, 1, 1, 1, 2, 6, 6, 2, 6, 6, 2, 6, 6, 2, 6, 6, 2, 6],\n[1, 1, 1, 1, 2, 2, 6, 2, 2, 6, 2, 2, 6, 2, 2, 6, 2, 2],\n[1, 1, 1, 1, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8],\n[1, 1, 1, 1, 6, 6, 8, 6, 6, 8, 6, 6, 8, 6, 6, 8, 6, 6],\n[1, 1, 1, 1, 2, 6, 2, 2, 6, 2, 2, 6, 2, 2, 6, 2, 2, 6],\n[1, 1, 1, 1, 8, 8, 2, 8, 8, 2, 8, 8, 2, 8, 8, 2, 8, 8],\n[1, 1, 1, 1, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2],\n[1, 1, 1, 1, 8, 2, 8, 8, 2, 8, 8, 2, 8, 8, 2, 8, 8, 2],\n[1, 1, 1, 1, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8],\n[1, 1, 1, 1, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2],\n[1, 1, 1, 1, 6, 2, 6, 6, 2, 6, 6, 2, 6, 6, 2, 6, 6, 2],\n[1, 1, 1, 1, 2, 6, 6, 2, 6, 6, 2, 6, 6, 2, 6, 6, 2, 6],\n[1, 1, 1, 1, 2, 2, 6, 2, 2, 6, 2, 2, 6, 2, 2, 6, 2, 2],\n[1, 1, 1, 1, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8],\n[1, 1, 1, 1, 6, 6, 8, 6, 6, 8, 6, 6, 8, 6, 6, 8, 6, 6],\n[1, 1, 1, 1, 2, 6, 2, 2, 6, 2, 2, 6, 2, 2, 6, 2, 2, 6],\n[1, 1, 1, 1, 8, 8, 2, 8, 8, 2, 8, 8, 2, 8, 8, 2, 8, 8],\n[1, 1, 1, 1, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2],\n[1, 1, 1, 1, 8, 2, 8, 8, 2, 8, 8, 2, 8, 8, 2, 8, 8, 2],\n[1, 1, 1, 1, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[8, 2, 8, 8, 2, 8, 8, 2, 8, 8, 2, 8, 8, 2, 8, 8, 2, 8],\n[2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2],\n[2, 8, 8, 2, 8, 8, 2, 8, 8, 2, 8, 8, 2, 8, 8, 2, 8, 8],\n[8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8],\n[2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8],\n[2, 6, 6, 2, 6, 6, 2, 6, 6, 2, 6, 6, 2, 6, 6, 2, 6, 6],\n[6, 6, 2, 6, 6, 2, 6, 6, 2, 6, 6, 2, 6, 6, 2, 6, 6, 2],\n[2, 6, 2, 2, 6, 2, 2, 6, 2, 2, 6, 2, 2, 6, 2, 2, 6, 2],\n[8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2],\n[6, 8, 6, 6, 8, 6, 6, 8, 6, 6, 8, 6, 6, 8, 6, 6, 8, 6],\n[6, 2, 2, 6, 2, 2, 6, 2, 2, 6, 2, 2, 6, 2, 2, 6, 2, 2],\n[8, 2, 8, 8, 2, 8, 8, 2, 8, 8, 2, 8, 8, 2, 8, 8, 2, 8],\n[2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2],\n[2, 8, 8, 2, 8, 8, 2, 8, 8, 2, 8, 8, 2, 8, 8, 2, 8, 8],\n[8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8],\n[2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8],\n[2, 6, 6, 2, 6, 6, 2, 6, 6, 2, 6, 6, 2, 6, 6, 2, 6, 6],\n[6, 6, 2, 6, 6, 2, 6, 6, 2, 6, 6, 2, 6, 6, 2, 6, 6, 2],\n[2, 6, 2, 2, 6, 2, 2, 6, 2, 2, 6, 2, 2, 6, 2, 2, 6, 2],\n[8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2],\n[6, 8, 6, 6, 8, 6, 6, 8, 6, 6, 8, 6, 6, 8, 6, 6, 8, 6],\n[6, 2, 2, 6, 2, 2, 6, 2, 2, 6, 2, 2, 6, 2, 2, 6, 2, 2],\n[8, 2, 8, 8, 2, 8, 8, 2, 8, 8, 2, 8, 8, 2, 8, 8, 2, 8],\n[2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2, 2, 8, 2],\n[2, 8, 8, 2, 8, 8, 2, 8, 8, 2, 8, 8, 2, 8, 8, 2, 8, 8],\n[8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8, 8, 6, 8]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[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],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 7, 7, 7],\n[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],\n[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],\n[0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 7, 7, 7],\n[0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 7, 7, 7],\n[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],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 7, 7, 7],\n[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],\n[0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 7, 7, 7],\n[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],\n[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],\n[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],\n[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],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 7, 7, 7],\n[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],\n[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],\n[0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 7, 7, 7],\n[0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 7, 7, 7],\n[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],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 7, 7, 7],\n[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],\n[0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 7, 7, 7],\n[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],\n[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],\n[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],\n[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],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[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], [4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 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, 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, 7, 7, 7], [0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 7, 7, 7], [0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 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, 7, 7, 7], [4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 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, 7, 7, 7], [0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 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, 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, 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, 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, 7, 7, 7], [4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 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, 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, 7, 7, 7], [0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 7, 7, 7], [0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 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, 7, 7, 7], [4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 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, 7, 7, 7], [0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 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, 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, 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, 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, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 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_key": "caa06a1f"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 9, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 8, 8, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[1, 1, 1, 1, 8, 8, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 9, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 8, 8, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 9, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 8, 8, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 9, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 8, 8, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 9, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 8, 8, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 9, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 8, 8, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 9, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 8, 8, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 9, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 8, 8, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 9, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 8, 8, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 9, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 8, 8, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[6, 8, 0, 9, 8, 4, 0, 4, 2, 4, 0, 6, 9, 4, 4, 4, 4],\n[4, 6, 4, 4, 1, 4, 4, 4, 6, 4, 4, 4, 4, 1, 4, 4, 4],\n[8, 0, 4, 4, 2, 6, 4, 4, 8, 2, 1, 0, 8, 2, 9, 1, 4],\n[9, 0, 4, 9, 1, 8, 4, 2, 4, 8, 6, 9, 4, 4, 6, 6, 4],\n[0, 4, 6, 6, 8, 6, 4, 8, 9, 4, 6, 2, 4, 4, 8, 1, 4],\n[8, 1, 1, 2, 8, 4, 4, 2, 6, 4, 0, 2, 9, 4, 8, 4, 4],\n[1, 8, 4, 4, 4, 6, 8, 4, 8, 2, 4, 6, 0, 4, 9, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[4, 6, 4, 4, 1, 4, 4, 4, 6, 4, 4, 4, 4, 1, 4, 4, 4],\n[8, 0, 4, 4, 2, 6, 4, 4, 8, 2, 1, 0, 8, 2, 9, 1, 4],\n[9, 0, 4, 9, 1, 8, 4, 2, 4, 8, 6, 9, 4, 4, 6, 6, 4],\n[0, 4, 6, 6, 8, 6, 4, 8, 9, 4, 6, 2, 4, 4, 8, 1, 4],\n[8, 1, 1, 2, 8, 4, 4, 2, 6, 4, 0, 2, 9, 4, 8, 4, 4],\n[1, 8, 4, 4, 4, 6, 8, 4, 8, 2, 4, 6, 0, 4, 9, 4, 4],\n[6, 8, 0, 9, 8, 4, 0, 4, 2, 4, 0, 6, 9, 4, 4, 4, 4],\n[4, 6, 4, 4, 1, 4, 4, 4, 6, 4, 4, 4, 4, 1, 4, 4, 4],\n[8, 0, 4, 4, 2, 6, 4, 4, 8, 2, 1, 0, 8, 2, 9, 1, 4],\n[9, 0, 4, 9, 1, 8, 4, 2, 4, 8, 6, 9, 4, 4, 6, 6, 4],\n[0, 4, 6, 6, 8, 6, 4, 8, 9, 4, 6, 2, 4, 4, 8, 1, 4],\n[8, 1, 1, 2, 8, 4, 4, 2, 6, 4, 0, 2, 9, 4, 8, 4, 4],\n[1, 8, 4, 4, 4, 6, 8, 4, 8, 2, 4, 6, 0, 4, 9, 4, 4],\n[6, 8, 0, 9, 8, 4, 0, 4, 2, 4, 0, 6, 9, 4, 4, 4, 4],\n[4, 6, 4, 4, 1, 4, 4, 4, 6, 4, 4, 4, 4, 1, 4, 4, 4],\n[8, 0, 4, 4, 2, 6, 4, 4, 8, 2, 1, 0, 8, 2, 9, 1, 4],\n[9, 0, 4, 9, 1, 8, 4, 2, 4, 8, 6, 9, 4, 4, 6, 6, 4],\n[0, 4, 6, 6, 8, 6, 4, 8, 9, 4, 6, 2, 4, 4, 8, 1, 4],\n[8, 1, 1, 2, 8, 4, 4, 2, 6, 4, 0, 2, 9, 4, 8, 4, 4],\n[1, 8, 4, 4, 4, 6, 8, 4, 8, 2, 4, 6, 0, 4, 9, 4, 4],\n[6, 8, 0, 9, 8, 4, 0, 4, 2, 4, 0, 6, 9, 4, 4, 4, 4],\n[4, 6, 4, 4, 1, 4, 4, 4, 6, 4, 4, 4, 4, 1, 4, 4, 4],\n[8, 0, 4, 4, 2, 6, 4, 4, 8, 2, 1, 0, 8, 2, 9, 1, 4],\n[9, 0, 4, 9, 1, 8, 4, 2, 4, 8, 6, 9, 4, 4, 6, 6, 4],\n[0, 4, 6, 6, 8, 6, 4, 8, 9, 4, 6, 2, 4, 4, 8, 1, 4],\n[8, 1, 1, 2, 8, 4, 4, 2, 6, 4, 0, 2, 9, 4, 8, 4, 4],\n[1, 8, 4, 4, 4, 6, 8, 4, 8, 2, 4, 6, 0, 4, 9, 4, 4],\n[6, 8, 0, 9, 8, 4, 0, 4, 2, 4, 0, 6, 9, 4, 4, 4, 4]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 6, 4, 8, 5, 5, 5, 6, 5, 5, 8, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 7, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 7, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 6, 4, 8, 5, 5, 5, 6, 5, 5, 8, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 7, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 6, 4, 8, 5, 5, 5, 6, 5, 5, 8, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 7, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 6, 4, 8, 5, 5, 5, 6, 5, 5, 8, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 5, 7, 5, 6, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 5, 5, 4, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 6, 4, 8, 5, 5, 5, 6, 5, 5, 8, 5, 5, 5, 5, 5]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 8, 2, 2, 4, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 6, 5, 2, 8, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 8, 0, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 9, 3, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 4, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 6, 5, 2, 8, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 8, 0, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 9, 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, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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_key": "8eb1be9a"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0],\n[4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0],\n[2, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[8, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9],\n[7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0],\n[4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0],\n[2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7],\n[7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 3, 3]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 2, 2, 2, 5],\n[5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 2, 2, 2, 5],\n[5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 7, 7, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5],\n[5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 5],\n[5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 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, 6, 6, 6, 6, 6, 6], [6, 6, 6, 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, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_key": "ddf7fa4f"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[3, 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[8, 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[3, 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[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[3, 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[3, 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[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[8, 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[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[8, 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[3, 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[8, 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[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[3, 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[8, 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[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[3, 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[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[3, 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``` \n **Output**: \n```arcmatrix\n[\n[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],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3],\n[8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8],\n[3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3],\n[5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5],\n[3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3],\n[3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3],\n[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],\n[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[5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5],\n[8, 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[3, 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[8, 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[7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7, 5, 7],\n[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],\n[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[8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8],\n[5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5, 3, 5],\n[2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2],\n[7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7, 3, 7],\n[3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3, 8, 3],\n[2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[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```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[1, 1, 1, 1, 1],\n[0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0],\n[5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5],\n[0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0],\n[1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1],\n[0, 0, 0, 0, 0],\n[1, 1, 1, 1, 1],\n[5, 5, 5, 5, 5]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[1, 5, 1, 5, 1],\n[0, 1, 0, 1, 0],\n[0, 0, 0, 0, 0],\n[5, 1, 5, 1, 5],\n[5, 1, 5, 1, 5],\n[0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0],\n[1, 5, 1, 5, 1],\n[1, 5, 1, 5, 1],\n[0, 0, 0, 0, 0],\n[1, 0, 1, 0, 1],\n[5, 1, 5, 1, 5]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[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, 8, 8, 8, 8], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 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, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], [8, 8, 8, 8, 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, 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, 8, 8, 8, 8]], "task_key": "e9afcf9a"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[8, 8, 8, 8, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[8, 8, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[8, 8, 8, 8, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[8, 8, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2],\n[2, 2, 2, 4, 2, 2],\n[2, 2, 2, 4, 2, 2],\n[2, 7, 2, 4, 2, 2],\n[2, 7, 2, 4, 2, 2],\n[2, 7, 2, 4, 2, 2]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2],\n[2, 2, 2, 4, 2, 2],\n[2, 2, 2, 4, 2, 2],\n[2, 7, 2, 4, 2, 2],\n[2, 7, 2, 8, 2, 2],\n[2, 8, 2, 8, 2, 2]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[3, 3, 7, 3, 4, 3, 0, 3, 3, 0, 3, 3, 7, 3, 4, 3, 3, 4, 3, 0, 3, 3, 0, 3, 4, 3, 7, 3, 0, 3],\n[3, 3, 7, 3, 4, 3, 0, 3, 3, 0, 3, 3, 7, 3, 4, 3, 3, 4, 3, 0, 3, 3, 0, 3, 4, 3, 7, 3, 0, 3],\n[3, 3, 7, 3, 4, 3, 0, 3, 3, 0, 3, 3, 7, 3, 3, 3, 3, 4, 3, 0, 3, 3, 0, 3, 4, 3, 7, 3, 0, 3],\n[3, 3, 3, 3, 4, 3, 0, 3, 3, 0, 3, 3, 7, 3, 3, 3, 3, 4, 3, 0, 3, 3, 0, 3, 4, 3, 7, 3, 0, 3],\n[3, 3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 3, 7, 3, 3, 3, 3, 4, 3, 0, 3, 3, 0, 3, 4, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 4, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[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],\n[3, 3, 3, 3, 3, 3, 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``` \n **Output**: \n```arcmatrix\n[\n[3, 3, 8, 3, 8, 3, 8, 3, 3, 8, 3, 3, 8, 3, 8, 3, 3, 8, 3, 8, 3, 3, 8, 3, 8, 3, 8, 3, 8, 3],\n[3, 3, 7, 3, 8, 3, 8, 3, 3, 8, 3, 3, 8, 3, 4, 3, 3, 8, 3, 8, 3, 3, 8, 3, 8, 3, 8, 3, 8, 3],\n[3, 3, 7, 3, 4, 3, 8, 3, 3, 0, 3, 3, 8, 3, 3, 3, 3, 8, 3, 8, 3, 3, 0, 3, 4, 3, 7, 3, 0, 3],\n[3, 3, 3, 3, 4, 3, 0, 3, 3, 0, 3, 3, 7, 3, 3, 3, 3, 4, 3, 0, 3, 3, 0, 3, 4, 3, 7, 3, 0, 3],\n[3, 3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 3, 7, 3, 3, 3, 3, 4, 3, 0, 3, 3, 0, 3, 4, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 0, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 4, 3, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[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],\n[3, 3, 3, 3, 3, 3, 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```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 2, 3, 3, 3, 3, 3, 3, 0, 3],\n[3, 3, 2, 3, 3, 3, 3, 0, 3, 0, 3],\n[3, 3, 2, 3, 5, 3, 3, 0, 3, 0, 3],\n[3, 3, 2, 3, 5, 3, 3, 0, 3, 0, 3],\n[3, 3, 2, 3, 5, 3, 3, 0, 3, 0, 3]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[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, 0, 3], [3, 3, 2, 3, 3, 3, 3, 0, 3, 0, 3], [3, 3, 2, 3, 5, 3, 3, 0, 3, 0, 3], [3, 3, 2, 3, 5, 3, 3, 0, 3, 0, 3], [3, 3, 2, 3, 5, 3, 3, 0, 3, 0, 3]], "task_key": "ce9e57f2"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[3, 6, 3, 7, 3, 6, 3, 3, 6, 3, 7, 3, 6, 3, 3, 6, 3, 7, 3, 6, 3],\n[7, 3, 3, 3, 0, 7, 3, 7, 3, 3, 3, 0, 7, 3, 7, 3, 3, 3, 0, 7, 3],\n[3, 6, 3, 3, 3, 6, 3, 3, 6, 3, 3, 3, 6, 3, 3, 6, 3, 3, 3, 6, 3],\n[0, 0, 3, 3, 7, 3, 3, 0, 0, 3, 3, 7, 3, 3, 0, 0, 3, 3, 7, 3, 3],\n[0, 7, 6, 3, 2, 4, 4, 0, 7, 6, 3, 2, 4, 4, 0, 7, 6, 3, 2, 4, 4],\n[3, 3, 4, 3, 3, 7, 3, 3, 3, 4, 3, 3, 7, 3, 3, 3, 4, 3, 3, 7, 3],\n[3, 3, 3, 0, 3, 7, 3, 3, 3, 3, 0, 3, 7, 3, 3, 3, 3, 0, 3, 7, 3],\n[3, 3, 4, 4, 0, 3, 2, 3, 3, 4, 4, 0, 3, 2, 3, 3, 4, 4, 0, 3, 2],\n[3, 7, 7, 3, 3, 0, 6, 3, 7, 7, 3, 3, 0, 6, 3, 7, 7, 3, 3, 0, 6],\n[3, 0, 4, 3, 3, 2, 6, 3, 0, 4, 3, 3, 2, 6, 3, 0, 4, 3, 3, 2, 6],\n[4, 3, 7, 4, 7, 7, 3, 4, 3, 7, 4, 7, 7, 3, 4, 3, 7, 4, 7, 7, 3],\n[6, 4, 3, 3, 3, 3, 0, 6, 4, 3, 3, 3, 3, 0, 6, 4, 3, 3, 3, 3, 0],\n[3, 7, 3, 3, 7, 3, 4, 3, 7, 3, 3, 7, 3, 4, 3, 7, 3, 3, 7, 3, 4],\n[4, 3, 3, 3, 4, 6, 3, 4, 3, 3, 3, 4, 6, 3, 4, 3, 3, 3, 4, 6, 3],\n[6, 3, 4, 3, 3, 7, 3, 6, 3, 4, 3, 3, 7, 3, 6, 3, 4, 3, 3, 7, 3],\n[4, 3, 3, 6, 4, 0, 0, 4, 3, 3, 6, 4, 0, 0, 4, 3, 3, 6, 4, 0, 0],\n[3, 3, 4, 3, 3, 6, 7, 3, 3, 4, 3, 3, 6, 7, 3, 3, 4, 3, 3, 6, 7],\n[3, 0, 3, 3, 7, 3, 0, 3, 0, 3, 3, 7, 3, 0, 3, 0, 3, 3, 7, 3, 0],\n[3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3],\n[3, 3, 4, 3, 6, 0, 3, 3, 3, 4, 3, 6, 0, 3, 3, 3, 4, 3, 6, 0, 3],\n[6, 4, 0, 6, 6, 0, 7, 6, 4, 0, 6, 6, 0, 7, 6, 4, 0, 6, 6, 0, 7],\n[7, 4, 3, 3, 3, 3, 6, 7, 4, 3, 3, 3, 3, 6, 7, 4, 3, 3, 3, 3, 6],\n[3, 6, 3, 7, 6, 3, 7, 3, 6, 3, 7, 6, 3, 7, 3, 6, 3, 7, 6, 3, 7],\n[4, 3, 3, 6, 4, 3, 3, 4, 3, 3, 6, 4, 3, 3, 4, 3, 3, 6, 4, 3, 3],\n[3, 3, 4, 3, 3, 0, 4, 3, 3, 4, 3, 3, 0, 4, 3, 3, 4, 3, 3, 0, 4],\n[3, 6, 3, 3, 6, 6, 7, 3, 6, 3, 3, 6, 6, 7, 3, 6, 3, 3, 6, 6, 7],\n[3, 4, 3, 3, 3, 3, 6, 3, 4, 3, 3, 3, 3, 6, 3, 4, 3, 3, 3, 3, 6],\n[4, 7, 3, 4, 3, 3, 3, 4, 7, 3, 4, 3, 3, 3, 4, 7, 3, 4, 3, 3, 3],\n[0, 3, 3, 3, 6, 3, 3, 0, 3, 3, 3, 6, 3, 3, 0, 3, 3, 3, 6, 3, 3]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[3, 6, 3, 7, 3, 6, 3],\n[7, 3, 3, 3, 0, 7, 3],\n[3, 6, 3, 3, 3, 6, 3],\n[0, 0, 3, 3, 7, 3, 3],\n[0, 7, 6, 3, 2, 4, 4],\n[3, 3, 4, 3, 3, 7, 3],\n[3, 3, 3, 0, 3, 7, 3],\n[3, 3, 4, 4, 0, 3, 2],\n[3, 7, 7, 3, 3, 0, 6],\n[3, 0, 4, 3, 3, 2, 6],\n[4, 3, 7, 4, 7, 7, 3],\n[6, 4, 3, 3, 3, 3, 0],\n[3, 7, 3, 3, 7, 3, 4],\n[4, 3, 3, 3, 4, 6, 3],\n[6, 3, 4, 3, 3, 7, 3],\n[4, 3, 3, 6, 4, 0, 0],\n[3, 3, 4, 3, 3, 6, 7],\n[3, 0, 3, 3, 7, 3, 0],\n[3, 4, 4, 3, 3, 3, 3],\n[3, 3, 4, 3, 6, 0, 3],\n[6, 4, 0, 6, 6, 0, 7],\n[7, 4, 3, 3, 3, 3, 6],\n[3, 6, 3, 7, 6, 3, 7],\n[4, 3, 3, 6, 4, 3, 3],\n[3, 3, 4, 3, 3, 0, 4],\n[3, 6, 3, 3, 6, 6, 7],\n[3, 4, 3, 3, 3, 3, 6],\n[4, 7, 3, 4, 3, 3, 3],\n[0, 3, 3, 3, 6, 3, 3]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[1, 8, 2, 1, 8, 2, 1, 8, 2],\n[8, 9, 8, 8, 9, 8, 8, 9, 8],\n[8, 8, 7, 8, 8, 7, 8, 8, 7],\n[8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 2, 8, 8, 2, 8, 8, 2],\n[8, 9, 8, 8, 9, 8, 8, 9, 8],\n[9, 8, 3, 9, 8, 3, 9, 8, 3],\n[7, 8, 8, 7, 8, 8, 7, 8, 8],\n[6, 8, 4, 6, 8, 4, 6, 8, 4],\n[4, 8, 6, 4, 8, 6, 4, 8, 6],\n[2, 3, 8, 2, 3, 8, 2, 3, 8],\n[6, 8, 1, 6, 8, 1, 6, 8, 1],\n[2, 5, 3, 2, 5, 3, 2, 5, 3],\n[8, 8, 8, 8, 8, 8, 8, 8, 8],\n[6, 8, 5, 6, 8, 5, 6, 8, 5]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[1, 8, 2],\n[8, 9, 8],\n[8, 8, 7],\n[8, 8, 8],\n[8, 8, 2],\n[8, 9, 8],\n[9, 8, 3],\n[7, 8, 8],\n[6, 8, 4],\n[4, 8, 6],\n[2, 3, 8],\n[6, 8, 1],\n[2, 5, 3],\n[8, 8, 8],\n[6, 8, 5]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[3, 6, 8, 4, 3, 1, 1, 8, 4, 3, 6, 8, 4, 3, 1, 1, 8, 4, 3, 6, 8, 4, 3, 1, 1, 8, 4],\n[3, 4, 4, 3, 8, 4, 3, 4, 3, 3, 4, 4, 3, 8, 4, 3, 4, 3, 3, 4, 4, 3, 8, 4, 3, 4, 3],\n[5, 4, 4, 5, 4, 4, 3, 4, 5, 5, 4, 4, 5, 4, 4, 3, 4, 5, 5, 4, 4, 5, 4, 4, 3, 4, 5],\n[4, 4, 4, 8, 8, 3, 4, 4, 4, 4, 4, 4, 8, 8, 3, 4, 4, 4, 4, 4, 4, 8, 8, 3, 4, 4, 4],\n[8, 4, 1, 8, 4, 4, 4, 4, 4, 8, 4, 1, 8, 4, 4, 4, 4, 4, 8, 4, 1, 8, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 5, 3, 1, 4, 4, 4, 4, 4, 4, 5, 3, 1, 4, 4, 4, 4, 4, 4, 5, 3, 1, 4, 4]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[3, 6, 8, 4, 3, 1, 1, 8, 4],\n[3, 4, 4, 3, 8, 4, 3, 4, 3],\n[5, 4, 4, 5, 4, 4, 3, 4, 5],\n[4, 4, 4, 8, 8, 3, 4, 4, 4],\n[8, 4, 1, 8, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 5, 3, 1, 4, 4]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[2, 0, 2, 0, 2, 0],\n[5, 5, 5, 5, 5, 5],\n[5, 2, 5, 2, 5, 2],\n[9, 5, 9, 5, 9, 5],\n[5, 1, 5, 1, 5, 1],\n[5, 5, 5, 5, 5, 5],\n[0, 9, 0, 9, 0, 9],\n[5, 5, 5, 5, 5, 5],\n[8, 7, 8, 7, 8, 7],\n[1, 6, 1, 6, 1, 6],\n[0, 5, 0, 5, 0, 5],\n[3, 5, 3, 5, 3, 5],\n[5, 2, 5, 2, 5, 2],\n[5, 5, 5, 5, 5, 5],\n[2, 7, 2, 7, 2, 7],\n[7, 9, 7, 9, 7, 9],\n[5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5],\n[8, 1, 8, 1, 8, 1],\n[8, 5, 8, 5, 8, 5],\n[9, 5, 9, 5, 9, 5],\n[3, 5, 3, 5, 3, 5]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[2, 0, 2, 0, 2, 0], [5, 5, 5, 5, 5, 5], [5, 2, 5, 2, 5, 2], [9, 5, 9, 5, 9, 5], [5, 1, 5, 1, 5, 1], [5, 5, 5, 5, 5, 5], [0, 9, 0, 9, 0, 9], [5, 5, 5, 5, 5, 5], [8, 7, 8, 7, 8, 7], [1, 6, 1, 6, 1, 6], [0, 5, 0, 5, 0, 5], [3, 5, 3, 5, 3, 5], [5, 2, 5, 2, 5, 2], [5, 5, 5, 5, 5, 5], [2, 7, 2, 7, 2, 7], [7, 9, 7, 9, 7, 9], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5], [8, 1, 8, 1, 8, 1], [8, 5, 8, 5, 8, 5], [9, 5, 9, 5, 9, 5], [3, 5, 3, 5, 3, 5]], "task_key": "2dee498d"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 8, 8, 1, 1, 8, 8, 1, 8, 8, 8, 8, 1, 8],\n[1, 1, 1, 6, 1, 6, 6, 6, 6, 6, 6, 1, 1, 1, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8],\n[6, 6, 6, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 8, 1, 8, 8, 8, 8, 8, 1, 1, 8, 8, 8],\n[6, 6, 1, 6, 1, 6, 1, 6, 6, 1, 6, 6, 1, 6, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 8],\n[6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 1, 8, 1, 1, 8, 8, 8, 8, 8, 8],\n[6, 6, 1, 6, 1, 6, 6, 6, 6, 6, 1, 6, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1],\n[6, 6, 1, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 8, 1, 8, 8, 8, 1, 8, 8, 8, 1, 8, 8, 1, 8],\n[6, 1, 6, 6, 6, 6, 6, 6, 1, 1, 6, 1, 6, 6, 8, 8, 8, 1, 8, 8, 8, 8, 1, 8, 8, 1, 8, 8],\n[6, 1, 6, 6, 1, 6, 6, 6, 6, 6, 1, 6, 1, 6, 8, 1, 8, 1, 1, 8, 8, 8, 8, 1, 8, 8, 8, 1],\n[6, 6, 1, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 8, 8, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8],\n[1, 1, 4, 1, 4, 4, 1, 4, 4, 1, 1, 1, 1, 4, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0],\n[1, 1, 1, 1, 1, 4, 1, 1, 4, 4, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1],\n[1, 1, 4, 4, 4, 4, 1, 4, 4, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0],\n[4, 1, 4, 4, 4, 1, 1, 1, 4, 4, 4, 4, 1, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1],\n[1, 1, 1, 1, 1, 4, 1, 1, 4, 4, 4, 4, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1],\n[1, 4, 4, 1, 4, 1, 1, 4, 1, 1, 1, 4, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0],\n[1, 4, 1, 4, 1, 4, 4, 4, 1, 4, 1, 4, 4, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0],\n[4, 1, 4, 1, 4, 1, 4, 4, 1, 4, 1, 4, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0],\n[1, 1, 4, 1, 1, 4, 1, 1, 4, 1, 1, 1, 4, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[0, 8, 8, 6, 4, 8, 8, 4, 8, 8, 8, 8, 0, 8],\n[8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8],\n[0, 0, 8, 4, 8, 8, 8, 8, 8, 0, 0, 8, 8, 8],\n[8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 0, 8],\n[8, 8, 8, 8, 6, 8, 0, 0, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0],\n[8, 4, 8, 8, 8, 4, 8, 8, 8, 4, 8, 8, 4, 8],\n[8, 8, 8, 0, 8, 8, 8, 8, 0, 8, 8, 4, 8, 8],\n[8, 0, 8, 0, 0, 8, 8, 8, 8, 4, 8, 8, 8, 0],\n[8, 8, 4, 0, 0, 4, 8, 8, 8, 8, 8, 8, 8, 8]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[3, 4, 4, 4, 4, 3, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5],\n[3, 4, 4, 4, 3, 4, 4, 3, 4, 4, 4, 4, 4, 5, 5, 5, 4, 5, 4, 4],\n[4, 3, 4, 4, 4, 4, 3, 4, 3, 3, 4, 4, 4, 4, 5, 4, 4, 5, 5, 4],\n[4, 3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4],\n[4, 4, 4, 4, 3, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5],\n[4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4, 5, 4, 4],\n[4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 4, 5, 4, 4, 4, 4, 5, 4],\n[4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 5],\n[4, 4, 4, 3, 4, 3, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 5, 4],\n[4, 4, 3, 4, 4, 4, 3, 3, 4, 4, 5, 4, 4, 4, 4, 5, 4, 4, 4, 5],\n[0, 0, 0, 4, 4, 4, 4, 0, 0, 0, 4, 4, 4, 8, 4, 4, 4, 4, 4, 8],\n[4, 0, 4, 0, 0, 0, 4, 4, 0, 0, 8, 8, 8, 4, 4, 8, 8, 4, 4, 4],\n[0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 4, 4, 8, 8, 4, 4, 8, 4, 8],\n[0, 0, 4, 0, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 0, 0, 0, 0, 4, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[0, 0, 4, 0, 0, 4, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 8, 4, 4, 4],\n[0, 0, 4, 0, 0, 0, 0, 4, 0, 0, 4, 4, 8, 8, 4, 4, 8, 4, 4, 4],\n[0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 8, 4, 4, 4, 4, 4, 4, 8, 4, 4],\n[0, 0, 4, 0, 4, 0, 0, 4, 0, 0, 4, 4, 4, 4, 4, 8, 4, 4, 4, 4],\n[4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 0, 4, 0, 4, 0, 0, 0, 0, 0, 4, 8, 4, 4, 4, 8, 4, 4, 4, 4]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[0, 0, 0, 8, 4, 3, 4, 0, 0, 5],\n[8, 0, 8, 5, 5, 5, 8, 5, 0, 0],\n[0, 0, 0, 0, 5, 0, 0, 5, 5, 0],\n[0, 0, 4, 0, 4, 5, 5, 3, 0, 0],\n[4, 0, 0, 0, 0, 4, 3, 0, 5, 5],\n[5, 0, 3, 5, 0, 5, 0, 5, 0, 4],\n[5, 5, 8, 5, 0, 0, 0, 4, 5, 0],\n[0, 4, 0, 0, 0, 3, 0, 5, 0, 5],\n[5, 0, 4, 0, 4, 0, 0, 4, 0, 0],\n[4, 0, 3, 5, 0, 0, 5, 0, 5, 0],\n[5, 0, 3, 0, 4, 5, 0, 0, 0, 5]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[2, 2, 4, 3, 3, 3],\n[2, 4, 2, 3, 3, 3],\n[2, 2, 2, 3, 3, 3],\n[4, 2, 4, 3, 3, 3],\n[4, 2, 2, 3, 3, 3],\n[4, 2, 4, 4, 3, 3],\n[2, 2, 4, 4, 4, 3],\n[1, 1, 1, 5, 5, 5],\n[4, 1, 1, 4, 4, 5],\n[1, 1, 1, 5, 5, 5],\n[1, 1, 1, 5, 5, 5],\n[1, 1, 1, 4, 5, 5],\n[1, 1, 1, 5, 5, 5],\n[1, 1, 1, 5, 5, 5]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[3, 3, 3],\n[3, 3, 3],\n[3, 3, 3],\n[3, 3, 3],\n[3, 3, 3],\n[1, 3, 3],\n[1, 1, 3]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[6, 5, 5, 6, 6, 6, 6, 5, 0, 0, 0, 0, 6, 0, 0, 0],\n[5, 5, 5, 6, 5, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0],\n[5, 6, 5, 6, 5, 6, 6, 5, 0, 0, 0, 6, 0, 6, 6, 0],\n[6, 6, 6, 1, 1, 1, 6, 1, 6, 6, 6, 6, 6, 6, 4, 6],\n[6, 6, 1, 1, 1, 1, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6],\n[1, 1, 1, 6, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[6, 5, 5, 6, 6, 6, 6, 5, 0, 0, 0, 0, 6, 0, 0, 0], [5, 5, 5, 6, 5, 6, 6, 6, 0, 0, 0, 6, 0, 0, 0, 0], [5, 6, 5, 6, 5, 6, 6, 5, 0, 0, 0, 6, 0, 6, 6, 0], [6, 6, 6, 1, 1, 1, 6, 1, 6, 6, 6, 6, 6, 6, 4, 6], [6, 6, 1, 1, 1, 1, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6], [1, 1, 1, 6, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6]], "task_key": "75b8110e"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[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],\n[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],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 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],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 6, 6, 6, 6],\n[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],\n[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],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[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],\n[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],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 7, 6, 5, 6, 6, 4, 6, 6, 6, 6, 6, 6, 2, 6, 3, 6, 6, 6, 6, 6, 1, 6, 6, 8, 0, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[0, 0, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6],\n[0, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6],\n[6, 0, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6],\n[0, 0, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6],\n[6, 0, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6],\n[6, 0, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6],\n[0, 0, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8],\n[6, 6, 1, 1, 6, 6, 6, 6, 6, 6, 8, 8],\n[6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 8],\n[6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 8],\n[6, 6, 1, 1, 6, 6, 6, 6, 6, 6, 8, 8],\n[6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[0, 0, 1, 1, 6, 4, 4, 5, 5, 6, 8, 8],\n[0, 6, 1, 6, 6, 4, 6, 5, 6, 6, 8, 6],\n[6, 0, 6, 1, 6, 6, 4, 6, 5, 6, 6, 8],\n[0, 0, 1, 1, 6, 4, 4, 5, 5, 6, 8, 8],\n[6, 0, 6, 1, 6, 6, 4, 6, 5, 6, 6, 8],\n[6, 0, 6, 1, 6, 6, 4, 6, 5, 6, 6, 8],\n[0, 0, 1, 1, 6, 4, 4, 5, 5, 6, 8, 8],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 7],\n[7, 7, 7, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 7],\n[7, 7, 7, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 7],\n[7, 7, 3, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 4, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 3, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 4, 7, 7, 7, 7, 1, 7, 7],\n[7, 7, 3, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 4, 7, 7, 7, 7, 7, 1, 7, 7],\n[7, 7, 3, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 4, 7, 7, 7, 7, 1, 7, 7, 7],\n[7, 7, 3, 3, 7, 7, 7, 7, 7, 8, 7, 7, 7, 4, 7, 7, 7, 7, 1, 7, 7, 7],\n[7, 7, 3, 3, 7, 7, 7, 7, 7, 8, 7, 7, 7, 4, 7, 7, 7, 7, 1, 7, 7, 7],\n[7, 7, 3, 3, 7, 7, 7, 7, 7, 8, 8, 7, 7, 4, 4, 7, 7, 7, 1, 7, 7, 7],\n[7, 7, 3, 3, 7, 7, 7, 7, 7, 8, 8, 7, 7, 4, 4, 7, 7, 7, 1, 1, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 7, 4, 4, 7, 7, 7, 1, 1, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 7, 4, 4, 7, 7, 7, 1, 1, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 7, 7]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 3, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 4, 7, 6, 7, 7, 1, 7, 7],\n[7, 7, 7, 3, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 4, 7, 6, 7, 7, 1, 7, 7],\n[7, 7, 3, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 4, 7, 6, 7, 7, 1, 7, 7, 7],\n[7, 7, 3, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 4, 7, 6, 7, 7, 1, 7, 7, 7],\n[7, 7, 3, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 4, 7, 6, 7, 7, 1, 7, 7, 7],\n[7, 7, 3, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 4, 7, 6, 7, 7, 1, 7, 7, 7],\n[7, 7, 3, 3, 7, 7, 7, 7, 7, 8, 8, 7, 7, 4, 4, 6, 6, 7, 1, 1, 7, 7],\n[7, 7, 3, 3, 7, 7, 7, 7, 7, 8, 8, 7, 7, 4, 4, 6, 6, 7, 1, 1, 7, 7],\n[7, 7, 3, 3, 7, 7, 7, 7, 7, 8, 8, 7, 7, 4, 4, 6, 6, 7, 1, 1, 7, 7],\n[7, 7, 3, 3, 7, 7, 7, 7, 7, 8, 8, 7, 7, 4, 4, 6, 6, 7, 1, 1, 7, 7]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2],\n[1, 2, 2, 2, 2, 2, 2],\n[1, 2, 2, 2, 2, 2, 2],\n[1, 3, 7, 2, 2, 2, 2],\n[1, 3, 7, 2, 2, 2, 2],\n[2, 3, 7, 2, 2, 2, 2],\n[2, 3, 7, 2, 2, 2, 4],\n[2, 2, 2, 8, 2, 2, 4],\n[2, 2, 2, 8, 2, 2, 4],\n[2, 2, 2, 8, 2, 2, 4],\n[2, 2, 2, 8, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 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], [1, 2, 2, 2, 2, 2, 2], [1, 3, 7, 2, 2, 2, 2], [1, 3, 7, 2, 2, 2, 2], [2, 3, 7, 2, 2, 2, 2], [2, 3, 7, 2, 2, 2, 4], [2, 2, 2, 8, 2, 2, 4], [2, 2, 2, 8, 2, 2, 4], [2, 2, 2, 8, 2, 2, 4], [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]], "task_key": "1caeab9d"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[3, 3, 3, 5, 3, 5, 7, 3, 3, 0, 9, 3, 3, 3, 3, 3, 3, 3, 3, 5, 7, 3],\n[6, 3, 6, 3, 5, 3, 3, 3, 0, 2, 3, 3, 3, 6, 3, 2, 6, 3, 6, 3, 2, 3],\n[6, 3, 7, 5, 2, 3, 6, 3, 7, 3, 5, 2, 3, 3, 2, 9, 3, 7, 9, 3, 3, 9],\n[3, 3, 6, 2, 3, 6, 3, 3, 6, 6, 3, 6, 5, 3, 3, 3, 2, 3, 6, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 6, 5, 9, 2, 3, 9, 7, 3, 2, 3, 3, 3, 5, 3, 3],\n[3, 3, 3, 7, 3, 6, 5, 5, 3, 3, 6, 5, 3, 3, 3, 2, 9, 3, 6, 3, 3, 6],\n[3, 3, 3, 7, 3, 3, 3, 3, 9, 3, 3, 3, 3, 5, 3, 6, 3, 3, 5, 3, 3, 9],\n[3, 6, 9, 5, 3, 9, 3, 2, 3, 6, 3, 3, 3, 5, 2, 6, 6, 3, 5, 3, 3, 5],\n[7, 3, 3, 6, 3, 3, 3, 2, 3, 3, 5, 3, 2, 3, 3, 3, 3, 3, 3, 3, 6, 3],\n[3, 3, 6, 3, 2, 6, 3, 3, 3, 3, 3, 7, 2, 0, 2, 6, 3, 3, 3, 6, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 2],\n[3, 5, 3, 2, 3, 3, 3, 3, 9, 3, 3, 3, 6, 2, 3, 3, 3, 3, 3, 6, 3, 2],\n[3, 2, 6, 3, 7, 3, 9, 3, 7, 3, 2, 9, 2, 2, 6, 2, 3, 3, 5, 3, 3, 3],\n[6, 7, 3, 3, 5, 2, 3, 3, 3, 3, 2, 2, 2, 2, 0, 5, 3, 3, 3, 6, 3, 3],\n[7, 3, 3, 9, 7, 2, 3, 2, 3, 3, 3, 2, 6, 3, 3, 5, 3, 6, 3, 3, 2, 2],\n[9, 7, 3, 6, 6, 3, 5, 7, 2, 2, 3, 5, 6, 3, 3, 6, 3, 3, 3, 3, 6, 2],\n[5, 9, 3, 2, 6, 3, 3, 2, 7, 6, 5, 9, 2, 7, 9, 3, 6, 3, 3, 3, 6, 3],\n[3, 3, 3, 3, 3, 3, 6, 9, 3, 9, 3, 2, 7, 2, 3, 3, 3, 3, 6, 6, 3, 3]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[3, 3, 3, 3, 3, 3, 6, 9, 3, 9, 3, 2, 7, 2, 3, 3, 3, 3, 6, 6, 3, 3],\n[5, 9, 3, 2, 6, 3, 3, 2, 7, 6, 5, 9, 2, 7, 9, 3, 6, 3, 3, 3, 6, 3],\n[9, 7, 3, 6, 6, 3, 5, 7, 2, 2, 3, 5, 6, 3, 3, 6, 3, 3, 3, 3, 6, 2],\n[7, 3, 3, 9, 7, 2, 3, 2, 3, 3, 3, 2, 6, 3, 3, 5, 3, 6, 3, 3, 2, 2],\n[6, 7, 3, 3, 5, 2, 3, 3, 3, 3, 2, 2, 2, 2, 0, 5, 3, 3, 3, 6, 3, 3],\n[3, 2, 6, 3, 7, 3, 9, 3, 7, 3, 2, 9, 2, 2, 6, 2, 3, 3, 5, 3, 3, 3],\n[3, 5, 3, 2, 3, 3, 3, 3, 9, 3, 3, 3, 6, 2, 3, 3, 3, 3, 3, 6, 3, 2],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 2],\n[3, 3, 6, 3, 2, 6, 3, 3, 3, 3, 3, 7, 2, 0, 2, 6, 3, 3, 3, 6, 3, 3],\n[7, 3, 3, 6, 3, 3, 3, 2, 3, 3, 5, 3, 2, 3, 3, 3, 3, 3, 3, 3, 6, 3],\n[3, 6, 9, 5, 3, 9, 3, 2, 3, 6, 3, 3, 3, 5, 2, 6, 6, 3, 5, 3, 3, 5],\n[3, 3, 3, 7, 3, 3, 3, 3, 9, 3, 3, 3, 3, 5, 3, 6, 3, 3, 5, 3, 3, 9],\n[3, 3, 3, 7, 3, 6, 5, 5, 3, 3, 6, 5, 3, 3, 3, 2, 9, 3, 6, 3, 3, 6],\n[3, 3, 3, 3, 3, 3, 3, 6, 5, 9, 2, 3, 9, 7, 3, 2, 3, 3, 3, 5, 3, 3],\n[3, 3, 6, 2, 3, 6, 3, 3, 6, 6, 3, 6, 5, 3, 3, 3, 2, 3, 6, 3, 3, 3],\n[6, 3, 7, 5, 2, 3, 6, 3, 7, 3, 5, 2, 3, 3, 2, 9, 3, 7, 9, 3, 3, 9],\n[6, 3, 6, 3, 5, 3, 3, 3, 0, 2, 3, 3, 3, 6, 3, 2, 6, 3, 6, 3, 2, 3],\n[3, 3, 3, 5, 3, 5, 7, 3, 3, 0, 9, 3, 3, 3, 3, 3, 3, 3, 3, 5, 7, 3]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[6, 7, 7, 7, 7, 6, 7, 6, 7, 5, 4, 6, 7, 5, 6, 8, 6, 7, 7, 5, 6, 4, 0, 6, 5, 6, 0, 4],\n[6, 5, 5, 6, 6, 7, 8, 7, 6, 7, 7, 0, 7, 0, 7, 8, 7, 7, 0, 7, 7, 7, 4, 0, 7, 7, 7, 7],\n[0, 6, 8, 8, 7, 7, 6, 0, 7, 6, 0, 7, 0, 6, 7, 0, 7, 6, 0, 0, 7, 7, 6, 4, 6, 0, 8, 5],\n[7, 7, 5, 8, 7, 8, 7, 7, 7, 8, 0, 7, 7, 6, 5, 0, 6, 7, 5, 7, 4, 7, 7, 0, 7, 7, 4, 6],\n[6, 5, 5, 6, 7, 7, 7, 6, 5, 7, 0, 6, 4, 5, 7, 6, 0, 6, 0, 7, 7, 7, 0, 7, 7, 7, 7, 4],\n[4, 4, 7, 7, 7, 0, 0, 5, 7, 5, 7, 6, 7, 0, 6, 7, 7, 6, 8, 5, 0, 7, 0, 8, 7, 6, 7, 7],\n[7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 8, 7, 5, 5, 7, 0, 5, 8, 7, 8, 0, 7, 7, 7, 6, 7, 7, 7]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[7, 6, 7, 7, 7, 7, 7, 7, 7, 6, 8, 7, 5, 5, 7, 0, 5, 8, 7, 8, 0, 7, 7, 7, 6, 7, 7, 7],\n[4, 4, 7, 7, 7, 0, 0, 5, 7, 5, 7, 6, 7, 0, 6, 7, 7, 6, 8, 5, 0, 7, 0, 8, 7, 6, 7, 7],\n[6, 5, 5, 6, 7, 7, 7, 6, 5, 7, 0, 6, 4, 5, 7, 6, 0, 6, 0, 7, 7, 7, 0, 7, 7, 7, 7, 4],\n[7, 7, 5, 8, 7, 8, 7, 7, 7, 8, 0, 7, 7, 6, 5, 0, 6, 7, 5, 7, 4, 7, 7, 0, 7, 7, 4, 6],\n[0, 6, 8, 8, 7, 7, 6, 0, 7, 6, 0, 7, 0, 6, 7, 0, 7, 6, 0, 0, 7, 7, 6, 4, 6, 0, 8, 5],\n[6, 5, 5, 6, 6, 7, 8, 7, 6, 7, 7, 0, 7, 0, 7, 8, 7, 7, 0, 7, 7, 7, 4, 0, 7, 7, 7, 7],\n[6, 7, 7, 7, 7, 6, 7, 6, 7, 5, 4, 6, 7, 5, 6, 8, 6, 7, 7, 5, 6, 4, 0, 6, 5, 6, 0, 4]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[9, 0, 5]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[9, 0, 5]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[6, 6, 6, 7],\n[7, 6, 6, 6],\n[6, 4, 6, 6],\n[2, 6, 6, 6],\n[2, 6, 6, 7],\n[6, 6, 6, 6],\n[7, 1, 6, 6],\n[6, 6, 6, 6],\n[6, 1, 4, 6],\n[4, 6, 6, 7],\n[6, 7, 6, 4],\n[6, 7, 7, 4],\n[6, 6, 1, 6],\n[4, 6, 4, 6],\n[6, 6, 6, 4],\n[1, 6, 6, 7],\n[1, 4, 6, 1],\n[6, 4, 7, 6],\n[4, 6, 9, 6],\n[6, 4, 6, 7],\n[9, 1, 6, 6],\n[6, 4, 7, 6]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[6, 6, 6, 7], [7, 6, 6, 6], [6, 4, 6, 6], [2, 6, 6, 6], [2, 6, 6, 7], [6, 6, 6, 6], [7, 1, 6, 6], [6, 6, 6, 6], [6, 1, 4, 6], [4, 6, 6, 7], [6, 7, 6, 4], [6, 7, 7, 4], [6, 6, 1, 6], [4, 6, 4, 6], [6, 6, 6, 4], [1, 6, 6, 7], [1, 4, 6, 1], [6, 4, 7, 6], [4, 6, 9, 6], [6, 4, 6, 7], [9, 1, 6, 6], [6, 4, 7, 6]], "task_key": "68b16354"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[8, 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[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8],\n[8, 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[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 1, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 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[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[8, 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[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 1, 1, 1, 1, 1, 8, 8, 1, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 1, 8, 8, 8, 1, 8, 8, 1, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 1, 8, 8, 8, 1, 8, 8, 1, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 6, 1, 8, 8, 1, 8, 8, 8, 1, 8, 8, 1, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 1, 1, 1, 1, 1, 8, 8, 1, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 1, 4, 7, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4],\n[4, 4, 1, 7, 7, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 7, 7, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 7, 7, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 7, 1, 4, 4, 4, 4, 4],\n[4, 4, 4, 7, 7, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 7, 7, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 7, 7, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 7, 7, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 7, 7, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 7, 7, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[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],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[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],\n[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],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 6, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 6, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 6, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 6, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 6, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 6, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[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],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[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],\n[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],\n[2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 7, 2],\n[7, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2],\n[2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2],\n[2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2],\n[2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2],\n[2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2],\n[2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2],\n[2, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2],\n[2, 6, 6, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2],\n[2, 6, 6, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2],\n[2, 6, 6, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2],\n[2, 6, 6, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2],\n[2, 6, 6, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2],\n[2, 6, 6, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2],\n[2, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2],\n[2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2],\n[2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2],\n[2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2],\n[2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2],\n[2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2],\n[2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2],\n[2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2],\n[2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2],\n[2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2],\n[2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2],\n[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],\n[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],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 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],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[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, 0, 0, 0, 0],\n[0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0],\n[0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0],\n[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, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 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],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 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_key": "928ad970"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2],\n[6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[8, 8, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[8, 8, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2],\n[6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2],\n[8, 8, 8, 8, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2],\n[8, 8, 8, 8, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2],\n[6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2],\n[6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2],\n[8, 8, 8, 8, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2],\n[8, 8, 8, 8, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2],\n[6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2],\n[6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2],\n[8, 8, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[8, 8, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6],\n[8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6],\n[8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6],\n[8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6],\n[8, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6],\n[1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6],\n[1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6],\n[1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6],\n[1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6],\n[8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6],\n[8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6],\n[8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6],\n[8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6],\n[8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6],\n[8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6],\n[8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6],\n[8, 8, 8, 8, 8, 8, 8, 8, 6, 6, 6],\n[1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6],\n[1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6],\n[1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6],\n[1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[8, 0, 0, 0, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2, 2],\n[8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 2, 2, 2, 2, 2],\n[8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 2, 2],\n[8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0],\n[8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0],\n[8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0],\n[8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 0]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3],\n[5, 5, 5, 5, 5, 3, 3],\n[5, 5, 5, 5, 5, 3, 3],\n[3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [5, 5, 5, 5, 5, 3, 3], [5, 5, 5, 5, 5, 3, 3], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 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_key": "db3e9e38"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[1, 1, 1, 1],\n[1, 1, 1, 1],\n[1, 1, 1, 7],\n[1, 1, 0, 1]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[1, 1, 1, 7],\n[1, 1, 0, 1],\n[1, 7, 1, 1],\n[0, 1, 1, 1]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1],\n[2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 1, 2, 3],\n[2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2],\n[2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1],\n[2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1],\n[2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2, 2, 1, 2, 3],\n[2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 3, 2],\n[2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 3, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2],\n[2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1],\n[2, 1, 2, 3, 2, 1, 2, 3, 2, 1, 2, 3, 2, 1, 2, 3],\n[2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 8, 4, 4, 4, 4, 4, 4],\n[4, 5, 8, 4, 4, 4, 4, 4, 4],\n[3, 8, 4, 4, 4, 4, 4, 4, 4]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[4, 4, 4, 4, 4, 4, 4, 4, 8],\n[4, 4, 4, 4, 4, 4, 4, 5, 8],\n[4, 4, 4, 4, 4, 4, 3, 8, 4],\n[4, 4, 4, 4, 4, 8, 4, 4, 8],\n[4, 4, 4, 4, 5, 8, 4, 5, 8],\n[4, 4, 4, 3, 8, 4, 3, 8, 4],\n[4, 4, 8, 4, 4, 8, 4, 4, 4],\n[4, 5, 8, 4, 5, 8, 4, 4, 4],\n[3, 8, 4, 3, 8, 4, 4, 4, 4]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 6, 4, 6, 5, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 0, 0, 6, 2, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 0, 8, 5, 4, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 4, 8, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 9, 8, 8, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 6, 4, 6, 5, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 0, 0, 6, 2, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 0, 8, 5, 4, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 4, 8, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 9, 8, 8, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "task_key": "8f2ea7aa"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[8, 9, 9, 9, 9, 9, 8, 9, 8, 8, 9, 9, 9, 8, 8, 9, 8],\n[8, 9, 8, 8, 8, 9, 9, 9, 8, 9, 9, 9, 9, 9, 8, 8, 9],\n[9, 8, 9, 9, 9, 8, 8, 9, 8, 9, 8, 9, 9, 9, 9, 9, 9],\n[8, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9],\n[8, 8, 9, 8, 9, 8, 8, 9, 9, 9, 9, 8, 9, 9, 8, 9, 9],\n[8, 8, 8, 8, 8, 9, 9, 9, 9, 8, 9, 9, 9, 9, 8, 9, 9],\n[9, 9, 8, 9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 8, 9],\n[9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 8, 9, 8, 9],\n[9, 9, 9, 9, 9, 9, 8, 9, 9, 8, 9, 9, 9, 8, 9, 9, 8],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9],\n[9, 8, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9],\n[9, 9, 9, 8, 8, 9, 8, 8, 9, 8, 9, 8, 9, 8, 9, 8, 8],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 8],\n[8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[8, 9, 9, 9, 9, 8, 9, 8, 9, 9, 8, 9, 9, 8, 8, 9, 9],\n[9, 9, 9, 8, 9, 9, 9, 8, 8, 9, 9, 8, 9, 9, 9, 9, 8],\n[9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 8, 9, 8, 9, 9, 8, 9],\n[8, 8, 9, 8, 8, 8, 8, 9, 8, 8, 9, 9, 9, 8, 8, 8, 9],\n[8, 9, 9, 9, 8, 9, 8, 9, 9, 9, 8, 9, 9, 9, 8, 8, 9],\n[9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 8, 9, 9, 9, 9, 9]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[7, 7, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 3, 3, 3, 7, 7, 7, 3, 7, 7, 7],\n[7, 7, 7, 3, 7, 7, 7, 7, 7, 7, 3, 7, 7],\n[7, 7, 7, 7, 3, 7, 7, 3, 7, 7, 7, 7, 3],\n[7, 7, 3, 3, 7, 7, 7, 7, 7, 7, 3, 7, 7],\n[7, 7, 7, 3, 7, 7, 3, 7, 7, 7, 7, 7, 3],\n[7, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[3, 7, 7, 3, 7, 7, 7, 7, 7, 3, 7, 7, 7],\n[7, 3, 7, 7, 7, 7, 7, 7, 3, 7, 7, 7, 7],\n[7, 7, 7, 3, 7, 7, 3, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 3, 7, 3, 3, 3, 7, 3, 7],\n[7, 3, 7, 7, 7, 7, 7, 7, 7, 7, 3, 7, 7],\n[3, 7, 7, 3, 7, 7, 7, 7, 3, 7, 7, 7, 7],\n[7, 7, 3, 7, 7, 7, 7, 3, 7, 7, 7, 7, 7],\n[3, 7, 7, 3, 7, 3, 7, 3, 7, 7, 7, 7, 7],\n[7, 3, 7, 7, 7, 7, 7, 7, 7, 3, 7, 7, 7],\n[3, 3, 3, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 7, 7, 7],\n[7, 3, 3, 7, 7, 7, 7, 3, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 3, 7, 7, 7, 7, 3, 3, 7, 7, 7, 3, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 3, 3, 3, 7, 7, 7, 7, 3, 7, 7],\n[3, 3, 7, 7, 3, 7, 3, 7, 7, 7, 7, 7, 3],\n[7, 7, 7, 3, 7, 7, 7, 7, 3, 7, 7, 7, 3],\n[7, 3, 7, 7, 3, 7, 7, 7, 7, 7, 7, 3, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[7, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 7, 7],\n[7, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 7],\n[7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 7, 7, 1, 1, 1, 1, 7, 7],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 7],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 7, 7, 7, 7, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 7, 7, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 7, 7, 1, 1, 1, 1, 1, 7, 7],\n[1, 1, 1, 1, 7, 7, 1, 1, 1, 7, 7, 7, 7],\n[1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[1, 1, 1, 7, 7, 1, 1, 1, 1, 7, 1, 1, 1],\n[1, 1, 1, 7, 7, 1, 1, 1, 1, 7, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 7, 7, 7, 7, 1, 1, 1]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7, 7, 4, 7, 7, 4],\n[7, 7, 7, 4, 7, 4, 7, 7, 4, 7, 4, 7, 7, 7, 7, 7, 4, 7, 4, 7, 7, 7, 7, 4],\n[7, 7, 7, 7, 7, 4, 4, 7, 4, 4, 7, 4, 4, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7],\n[7, 4, 7, 7, 7, 7, 4, 7, 7, 4, 7, 7, 4, 4, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7],\n[4, 4, 7, 7, 4, 4, 4, 7, 7, 7, 4, 7, 7, 4, 4, 7, 7, 4, 7, 7, 7, 7, 7, 7],\n[4, 7, 7, 7, 7, 7, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 7, 7, 7, 7],\n[7, 4, 7, 7, 7, 7, 4, 7, 7, 7, 4, 4, 7, 7, 7, 7, 7, 4, 7, 4, 7, 4, 4, 7],\n[7, 7, 7, 7, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 4, 4, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 7, 4, 7, 4, 7, 7, 7, 4, 4, 7, 7, 7, 7],\n[7, 7, 7, 7, 4, 4, 7, 7, 4, 4, 7, 7, 7, 4, 4, 4, 7, 4, 7, 7, 7, 7, 7, 7],\n[4, 4, 7, 7, 7, 4, 4, 4, 7, 7, 7, 4, 7, 7, 7, 7, 7, 7, 4, 7, 7, 4, 7, 7]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7],\n[1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[2, 4, 2, 2, 2, 2, 2],\n[4, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 4],\n[2, 2, 2, 2, 2, 2, 2],\n[4, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 4, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 4],\n[2, 2, 2, 2, 2, 2, 2],\n[2, 4, 2, 4, 2, 2, 2],\n[2, 2, 2, 4, 2, 4, 2]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[2, 4, 2, 2, 2, 2, 2], [4, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 4], [2, 2, 2, 2, 2, 2, 2], [4, 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, 4], [2, 2, 2, 2, 2, 2, 2], [2, 4, 2, 4, 2, 2, 2], [2, 2, 2, 4, 2, 4, 2]], "task_key": "ce22a75a"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 8, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 7],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 7, 6],\n[4, 6, 6, 1, 8, 6, 2, 6, 6, 6, 8, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 8, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 7, 6, 6, 2, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 7]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 8, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 2, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[3, 9, 9, 9, 9],\n[4, 9, 9, 9, 9]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 0, 8, 3, 3, 5, 3, 8, 3, 5, 3, 3, 3, 3, 3, 8],\n[3, 3, 3, 8, 5, 8, 3, 3, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 0, 3, 3, 0, 8],\n[5, 3, 3, 3, 3, 3, 8, 3, 8, 5, 3, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3],\n[3, 0, 3, 5, 3, 8, 0, 0, 0, 3, 3, 3, 3, 5, 3, 3, 3, 0, 3, 0, 8, 3, 0, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 8, 5, 0, 0, 8, 3, 3, 5, 3, 3, 3, 0, 8, 3, 3, 3, 3, 3],\n[3, 3, 5, 0, 3, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 8, 3, 0, 0, 3, 3],\n[5, 5, 8, 5, 5, 3, 3, 3, 5, 5, 3, 3, 3, 3, 3, 0, 3, 3, 0, 3, 3, 3, 8, 3, 3],\n[3, 3, 3, 8, 3, 3, 3, 8, 5, 3, 3, 3, 3, 5, 8, 3, 3, 3, 0, 3, 8, 3, 5, 3, 3],\n[8, 3, 3, 0, 0, 3, 3, 3, 5, 3, 0, 8, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[5, 3, 5, 0, 0, 3, 8, 5, 3, 0, 8, 0, 3, 3, 8, 0, 3, 5, 3, 3, 3, 3, 3, 0, 5],\n[3, 0, 3, 3, 3, 0, 3, 0, 0, 3, 3, 0, 8, 0, 8, 5, 8, 3, 3, 3, 3, 3, 3, 3, 0],\n[5, 3, 5, 3, 8, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 0, 8, 3, 0, 3, 3, 3, 8, 3, 0],\n[0, 3, 0, 3, 3, 3, 3, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 3, 5, 3, 3, 3, 3],\n[0, 3, 8, 3, 0, 3, 8, 3, 8, 3, 5, 5, 3, 5, 3, 3, 5, 3, 3, 8, 3, 3, 0, 5, 5]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[3, 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[3, 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[3, 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[3, 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[3, 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[3, 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[3, 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[3, 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[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],\n[3, 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[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 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[3, 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[3, 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```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 8, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[7, 7, 7, 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, 8, 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, 8, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 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]], "task_key": "d23f8c26"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[6, 4, 2, 2, 0, 0, 6, 4, 4, 0, 0, 2, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 0, 2, 0, 0, 6, 0, 1],\n[1, 4, 4, 4, 4, 4, 7, 4, 4, 7, 2, 1, 4, 4],\n[0, 4, 2, 4, 4, 4, 2, 4, 2, 0, 6, 4, 4, 4],\n[7, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 1, 4, 4]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[6, 4, 2, 2, 0, 0, 6, 4, 4, 0, 0, 2, 4, 4, 4, 4, 2, 0, 0, 4, 4, 6, 0, 0, 2, 2, 4, 6],\n[4, 4, 4, 4, 4, 4, 4, 0, 2, 0, 0, 6, 0, 1, 1, 0, 6, 0, 0, 2, 0, 4, 4, 4, 4, 4, 4, 4],\n[1, 4, 4, 4, 4, 4, 7, 4, 4, 7, 2, 1, 4, 4, 4, 4, 1, 2, 7, 4, 4, 7, 4, 4, 4, 4, 4, 1],\n[0, 4, 2, 4, 4, 4, 2, 4, 2, 0, 6, 4, 4, 4, 4, 4, 4, 6, 0, 2, 4, 2, 4, 4, 4, 2, 4, 0],\n[7, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 1, 4, 4, 4, 4, 1, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 7],\n[7, 4, 4, 4, 4, 0, 4, 4, 4, 0, 0, 1, 4, 4, 4, 4, 1, 0, 0, 4, 4, 4, 0, 4, 4, 4, 4, 7],\n[0, 4, 2, 4, 4, 4, 2, 4, 2, 0, 6, 4, 4, 4, 4, 4, 4, 6, 0, 2, 4, 2, 4, 4, 4, 2, 4, 0],\n[1, 4, 4, 4, 4, 4, 7, 4, 4, 7, 2, 1, 4, 4, 4, 4, 1, 2, 7, 4, 4, 7, 4, 4, 4, 4, 4, 1],\n[4, 4, 4, 4, 4, 4, 4, 0, 2, 0, 0, 6, 0, 1, 1, 0, 6, 0, 0, 2, 0, 4, 4, 4, 4, 4, 4, 4],\n[6, 4, 2, 2, 0, 0, 6, 4, 4, 0, 0, 2, 4, 4, 4, 4, 2, 0, 0, 4, 4, 6, 0, 0, 2, 2, 4, 6]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[7, 7],\n[9, 8]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[7, 7, 7, 7],\n[9, 8, 8, 9],\n[9, 8, 8, 9],\n[7, 7, 7, 7]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[1, 6, 1, 0, 7, 3],\n[5, 1, 1, 4, 0, 1],\n[1, 7, 5, 4, 0, 1],\n[1, 9, 1, 1, 1, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[1, 6, 1, 0, 7, 3, 3, 7, 0, 1, 6, 1],\n[5, 1, 1, 4, 0, 1, 1, 0, 4, 1, 1, 5],\n[1, 7, 5, 4, 0, 1, 1, 0, 4, 5, 7, 1],\n[1, 9, 1, 1, 1, 6, 6, 1, 1, 1, 9, 1],\n[1, 9, 1, 1, 1, 6, 6, 1, 1, 1, 9, 1],\n[1, 7, 5, 4, 0, 1, 1, 0, 4, 5, 7, 1],\n[5, 1, 1, 4, 0, 1, 1, 0, 4, 1, 1, 5],\n[1, 6, 1, 0, 7, 3, 3, 7, 0, 1, 6, 1]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[2, 5, 0, 4, 5, 5, 5, 2],\n[3, 4, 5, 5, 5, 5, 5, 5],\n[5, 4, 5, 6, 4, 2, 5, 2],\n[5, 4, 1, 7, 5, 5, 3, 1],\n[5, 5, 7, 5, 5, 8, 5, 5],\n[5, 6, 5, 5, 8, 5, 5, 0]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[2, 5, 0, 4, 5, 5, 5, 2], [3, 4, 5, 5, 5, 5, 5, 5], [5, 4, 5, 6, 4, 2, 5, 2], [5, 4, 1, 7, 5, 5, 3, 1], [5, 5, 7, 5, 5, 8, 5, 5], [5, 6, 5, 5, 8, 5, 5, 0]], "task_key": "3af2c5a8"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0],\n[6, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 6, 0, 0, 6, 0, 0],\n[0, 0, 6, 0, 0, 0, 0, 0, 0, 7, 0, 0, 7, 0, 6, 6, 6, 6, 0, 0],\n[0, 0, 0, 0, 7, 7, 7, 7, 0, 7, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7],\n[0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 7],\n[0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7],\n[0, 0, 8, 8, 8, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 6],\n[0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 8, 0, 0, 0, 8, 0, 0, 6, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 6, 6, 6],\n[0, 0, 0, 7, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[8, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0],\n[8, 0, 8, 0, 8, 0, 0, 7, 0, 0, 8, 0, 0, 0, 0, 7, 0, 0, 0, 0],\n[8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0],\n[6, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 0],\n[0, 0, 6, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 3, 3, 3, 3, 0, 0],\n[0, 0, 0, 0, 3, 3, 3, 3, 0, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 3, 0, 0, 3, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3],\n[0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 3],\n[0, 0, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3],\n[0, 0, 3, 3, 3, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 6],\n[0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 3, 0, 0, 0, 3, 0, 0, 6, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 3, 3, 3, 3, 3, 0, 0, 6, 6, 6],\n[0, 0, 0, 7, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[3, 3, 3, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0],\n[3, 0, 3, 0, 8, 0, 0, 7, 0, 0, 8, 0, 0, 0, 0, 7, 0, 0, 0, 0],\n[3, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4],\n[4, 6, 6, 4, 6, 6, 4, 6, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 6, 6, 6, 4],\n[4, 4, 4, 4, 6, 6, 6, 6, 4, 6, 6, 6, 4, 6, 6, 6, 6, 4, 6, 6, 6, 4],\n[6, 6, 6, 6, 6, 4, 6, 6, 4, 6, 6, 6, 4, 6, 6, 6, 6, 4, 4, 4, 4, 4],\n[6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 8, 8, 8, 8, 8, 6, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 8, 6, 6, 6],\n[8, 6, 8, 6, 6, 6, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8],\n[6, 6, 8, 6, 6, 6, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 6, 6, 6],\n[8, 6, 8, 8, 8, 8, 8, 6, 6, 6, 6, 6, 6, 8, 6, 6, 8, 6, 6, 8, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 6, 6, 6, 6, 8, 8, 6],\n[6, 6, 6, 6, 4, 6, 6, 6, 8, 8, 8, 6, 6, 6, 6, 6, 8, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 8, 6, 8, 8, 8, 8, 6, 6, 6, 8, 6, 8],\n[6, 6, 4, 6, 6, 6, 6, 6, 8, 8, 8, 6, 8, 6, 6, 8, 6, 6, 6, 8, 6, 8],\n[6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8, 6, 6, 6, 8, 8, 8]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3],\n[3, 6, 6, 3, 6, 6, 4, 6, 4, 4, 4, 4, 4, 6, 6, 6, 6, 3, 6, 6, 6, 3],\n[3, 3, 3, 3, 6, 6, 6, 6, 4, 6, 6, 6, 4, 6, 6, 6, 6, 3, 6, 6, 6, 3],\n[6, 6, 6, 6, 6, 4, 6, 6, 4, 6, 6, 6, 4, 6, 6, 6, 6, 3, 3, 3, 3, 3],\n[6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 3, 3, 3, 3, 3, 6, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 8, 6, 6, 6],\n[8, 6, 3, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8],\n[6, 6, 3, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 6, 6, 6],\n[8, 6, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 8, 6, 6, 8, 6, 6, 8, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 6, 6, 6, 6, 8, 8, 6],\n[6, 6, 6, 6, 4, 6, 6, 6, 3, 3, 3, 6, 6, 6, 6, 6, 8, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 3, 6, 3, 3, 3, 3, 6, 6, 6, 8, 6, 8],\n[6, 6, 4, 6, 6, 6, 6, 6, 3, 3, 3, 6, 3, 6, 6, 3, 6, 6, 6, 8, 6, 8],\n[6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 6, 6, 6, 8, 8, 8]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[9, 9, 9, 9, 9, 9, 9, 9, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 6, 9, 6, 9, 9, 9, 9, 0, 0, 0, 0, 0, 9],\n[9, 8, 8, 8, 8, 8, 9, 9, 6, 6, 6, 9, 8, 8, 9, 0, 9, 9, 9, 0, 9],\n[9, 8, 9, 9, 9, 8, 9, 9, 9, 9, 9, 8, 9, 8, 9, 0, 9, 9, 9, 0, 9],\n[9, 8, 9, 9, 9, 8, 9, 6, 6, 6, 9, 8, 8, 9, 9, 0, 0, 0, 0, 0, 9],\n[9, 8, 9, 9, 9, 8, 9, 6, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 8, 8, 8, 8, 8, 9, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 8, 9, 9, 9],\n[9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 9, 9, 9, 8, 9, 9, 9, 9, 0, 9, 9],\n[9, 9, 9, 9, 9, 5, 9, 9, 9, 5, 9, 8, 8, 9, 8, 9, 0, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 5, 9, 9, 9, 5, 9, 9, 9, 9, 9, 8, 9, 9, 0, 9, 0],\n[0, 0, 0, 0, 9, 5, 5, 5, 5, 5, 9, 9, 9, 8, 9, 9, 9, 9, 0, 9, 0],\n[0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 9, 9, 0, 0, 9],\n[0, 9, 9, 0, 9, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[0, 9, 9, 0, 9, 8, 9, 8, 9, 9, 9, 6, 6, 9, 6, 9, 9, 9, 9, 9, 9],\n[0, 0, 0, 0, 9, 8, 9, 8, 9, 9, 9, 6, 9, 9, 6, 9, 9, 9, 6, 9, 9],\n[9, 9, 9, 9, 9, 8, 8, 8, 9, 9, 9, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9],\n[8, 8, 8, 8, 9, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 6, 9, 9, 9, 0],\n[8, 9, 9, 8, 9, 8, 9, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 0, 0],\n[8, 8, 8, 8, 9, 8, 8, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 5, 5, 5, 5, 9, 9, 9, 0, 0, 0, 9, 9, 8, 8, 8, 8, 8, 9, 0, 9],\n[9, 5, 9, 9, 5, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 9, 9, 9],\n[9, 5, 9, 9, 5, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 9, 9, 9],\n[9, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 9, 9, 9]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 3, 9, 9, 9, 9, 3, 3, 3, 3, 3, 9],\n[9, 3, 3, 3, 3, 3, 9, 9, 3, 3, 3, 9, 8, 8, 9, 3, 9, 9, 9, 3, 9],\n[9, 3, 9, 9, 9, 3, 9, 9, 9, 9, 9, 8, 9, 8, 9, 3, 9, 9, 9, 3, 9],\n[9, 3, 9, 9, 9, 3, 9, 3, 3, 3, 9, 8, 8, 9, 9, 3, 3, 3, 3, 3, 9],\n[9, 3, 9, 9, 9, 3, 9, 3, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 3, 3, 3, 3, 3, 9, 3, 3, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 8, 9, 9, 9],\n[9, 9, 9, 9, 9, 3, 3, 3, 3, 3, 9, 9, 9, 8, 9, 9, 9, 9, 0, 9, 9],\n[9, 9, 9, 9, 9, 3, 9, 9, 9, 3, 9, 8, 8, 9, 8, 9, 0, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 3, 9, 9, 9, 3, 9, 9, 9, 9, 9, 8, 9, 9, 0, 9, 0],\n[3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 9, 9, 9, 8, 9, 9, 9, 9, 0, 9, 0],\n[3, 9, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 6, 9, 9, 0, 0, 9],\n[3, 9, 9, 3, 9, 3, 3, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[3, 9, 9, 3, 9, 3, 9, 3, 9, 9, 9, 6, 6, 9, 6, 9, 9, 9, 9, 9, 9],\n[3, 3, 3, 3, 9, 3, 9, 3, 9, 9, 9, 6, 9, 9, 6, 9, 9, 9, 6, 9, 9],\n[9, 9, 9, 9, 9, 3, 3, 3, 9, 9, 9, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 9],\n[3, 3, 3, 3, 9, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 6, 9, 9, 9, 0],\n[3, 9, 9, 3, 9, 8, 9, 9, 3, 3, 3, 9, 9, 0, 9, 9, 9, 9, 9, 0, 0],\n[3, 3, 3, 3, 9, 8, 8, 9, 3, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 3, 3, 3, 3, 9, 9, 9, 3, 3, 3, 9, 9, 3, 3, 3, 3, 3, 9, 0, 9],\n[9, 3, 9, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 3, 9, 9, 9],\n[9, 3, 9, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 3, 9, 9, 9],\n[9, 3, 3, 3, 3, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 3, 3, 3, 9, 9, 9]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 1, 6, 6, 6, 6, 8, 8, 8, 6],\n[6, 6, 1, 6, 1, 6, 6, 6, 6, 8, 6, 8, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 8, 6],\n[7, 7, 7, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6],\n[7, 6, 7, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6],\n[7, 7, 7, 6, 6, 6, 6, 6, 4, 4, 4, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 4, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 6, 6],\n[6, 6, 6, 7, 6, 7, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 7, 6, 7, 6, 7, 7, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 7, 6, 7, 6, 6, 6, 8, 8, 8, 8],\n[6, 6, 6, 7, 7, 6, 6, 6, 6, 8, 6, 6, 8],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 6, 8],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 6, 8],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 1, 6, 6, 6, 6, 8, 8, 8, 6], [6, 6, 1, 6, 1, 6, 6, 6, 6, 8, 6, 8, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 8, 6], [7, 7, 7, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6], [7, 6, 7, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6], [7, 7, 7, 6, 6, 6, 6, 6, 4, 4, 4, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 4, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 6, 6], [6, 6, 6, 7, 6, 7, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 7, 6, 7, 6, 7, 7, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 7, 6, 7, 6, 6, 6, 8, 8, 8, 8], [6, 6, 6, 7, 7, 6, 6, 6, 6, 8, 6, 6, 8], [6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 6, 8], [6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 6, 6, 8], [6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_key": "810b9b61"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[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],\n[0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7],\n[0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[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],\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2],\n[0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 8, 0, 0, 0, 0],\n[0, 0, 8, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8],\n[0, 0, 8, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0],\n[8, 8, 8, 0, 0, 0, 0, 8, 8, 0, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0, 8, 8, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0],\n[0, 0, 3, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 3, 3],\n[0, 0, 3, 0, 3, 3, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0],\n[2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 8, 0, 0, 8, 8, 0],\n[8, 8, 0, 8, 0, 8, 0, 8, 0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 8, 0, 8, 8, 0],\n[8, 8, 8, 8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 8],\n[0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 0, 8, 0, 8],\n[8, 8, 8, 0, 8, 0, 8, 8, 8, 8, 8, 0, 0, 8, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8],\n[0, 0, 8, 0, 8, 0, 8, 0, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8, 8, 0, 8, 8, 0, 8],\n[8, 8, 8, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8],\n[8, 8, 8, 8, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8],\n[8, 0, 8, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8],\n[0, 0, 8, 0, 8, 8, 8, 0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 0, 8, 8, 0, 0, 8, 8],\n[8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 8, 0],\n[8, 8, 8, 8, 8, 8, 0, 0, 8, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 0, 0, 8, 0, 0],\n[8, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 0, 8, 0, 0, 8, 0, 8, 0, 8, 0, 8],\n[8, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 0, 8, 8],\n[8, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 8],\n[8, 0, 8, 0, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 0],\n[0, 0, 8, 0, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 0, 0, 8],\n[8, 8, 8, 8, 0, 8, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 0, 8, 8, 0, 8, 8, 8, 8, 8, 8, 8, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8],\n[8, 0, 8, 8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 0, 8, 0, 8, 8, 8, 8, 8, 8, 0, 0],\n[0, 0, 8, 8, 0, 0, 0, 8, 8, 8, 8, 8, 0, 8, 8, 0, 8, 0, 0, 0, 8, 0, 0, 8],\n[8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8],\n[8, 0, 8, 8, 0, 0, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 8, 8, 0, 0, 8],\n[8, 0, 8, 8, 8, 8, 0, 8, 8, 0, 0, 8, 0, 0, 8, 8, 8, 8, 8, 0, 0, 8, 8, 8],\n[8, 0, 8, 8, 8, 8, 8, 0, 0, 8, 8, 8, 8, 0, 8, 8, 8, 0, 0, 8, 8, 0, 0, 0],\n[8, 8, 8, 8, 0, 0, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 0, 8, 8, 0, 8, 8, 8],\n[8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 8, 0, 0, 0, 8, 8]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[8, 2, 2, 8, 3, 8, 8, 8, 8, 8, 2, 8, 8, 2, 8, 8, 8, 8, 8, 2, 2, 8, 8, 3],\n[8, 8, 2, 8, 3, 8, 3, 8, 1, 8, 2, 2, 8, 2, 8, 8, 2, 2, 8, 8, 2, 8, 8, 3],\n[8, 8, 8, 8, 8, 8, 3, 8, 1, 8, 8, 8, 8, 2, 8, 8, 2, 8, 8, 8, 8, 2, 2, 8],\n[2, 2, 2, 8, 8, 8, 8, 1, 1, 8, 8, 1, 8, 8, 1, 1, 8, 3, 3, 8, 3, 8, 2, 8],\n[8, 8, 8, 2, 8, 3, 8, 8, 8, 8, 8, 1, 1, 8, 1, 8, 3, 8, 8, 8, 3, 8, 8, 8],\n[3, 3, 8, 2, 8, 3, 8, 3, 3, 8, 8, 8, 1, 8, 1, 8, 3, 8, 8, 2, 8, 8, 3, 8],\n[8, 8, 8, 2, 8, 8, 8, 8, 8, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 8, 8, 3, 8],\n[8, 8, 8, 8, 3, 3, 8, 8, 2, 2, 8, 8, 3, 3, 8, 3, 8, 8, 8, 2, 8, 8, 8, 8],\n[8, 2, 8, 2, 8, 8, 2, 2, 8, 8, 8, 8, 8, 8, 8, 3, 8, 8, 8, 8, 8, 8, 8, 8],\n[2, 2, 8, 2, 8, 8, 8, 2, 8, 2, 2, 2, 8, 2, 2, 8, 2, 2, 8, 8, 3, 3, 8, 8],\n[8, 8, 8, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 2, 8, 8, 8, 2, 8, 1, 8, 8, 8, 1],\n[8, 8, 8, 8, 8, 8, 2, 2, 8, 2, 2, 2, 8, 8, 8, 8, 8, 8, 8, 1, 1, 8, 1, 1],\n[8, 3, 3, 8, 8, 8, 8, 2, 8, 8, 8, 8, 8, 3, 8, 3, 3, 8, 1, 8, 1, 8, 1, 8],\n[8, 8, 8, 8, 2, 2, 2, 8, 3, 3, 8, 8, 8, 3, 8, 8, 8, 8, 1, 1, 8, 3, 8, 8],\n[8, 1, 8, 2, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 3, 8, 8],\n[8, 1, 8, 2, 8, 8, 8, 8, 1, 1, 1, 8, 8, 8, 8, 3, 3, 8, 8, 8, 8, 8, 1, 1],\n[1, 1, 8, 2, 8, 3, 3, 8, 8, 8, 8, 8, 8, 8, 2, 8, 8, 8, 3, 3, 8, 1, 1, 8],\n[8, 8, 8, 8, 3, 8, 8, 8, 2, 2, 2, 8, 8, 2, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 1, 8, 8, 3, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 2, 2, 2, 8, 8, 8],\n[8, 1, 8, 8, 8, 1, 8, 1, 1, 1, 1, 8, 1, 1, 8, 2, 8, 8, 8, 8, 8, 8, 1, 1],\n[1, 1, 8, 8, 1, 1, 1, 8, 8, 8, 8, 8, 1, 8, 8, 2, 8, 1, 1, 1, 8, 1, 1, 8],\n[8, 8, 3, 3, 8, 8, 8, 8, 8, 2, 2, 2, 8, 8, 8, 2, 8, 8, 8, 1, 8, 8, 8, 8],\n[8, 2, 8, 8, 1, 1, 1, 8, 8, 8, 8, 8, 1, 8, 8, 8, 3, 3, 8, 8, 8, 3, 3, 8],\n[8, 2, 8, 8, 8, 8, 1, 8, 8, 3, 3, 8, 1, 1, 8, 8, 8, 8, 8, 3, 3, 8, 8, 8],\n[8, 2, 8, 8, 8, 8, 8, 2, 2, 8, 8, 8, 8, 1, 8, 8, 8, 1, 1, 8, 8, 2, 2, 2],\n[8, 8, 8, 8, 3, 3, 8, 2, 8, 8, 8, 1, 8, 8, 8, 8, 1, 1, 8, 8, 1, 8, 8, 8],\n[8, 3, 3, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 8, 3, 3, 8, 8, 8, 1, 1, 1, 8, 8]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 9, 9],\n[0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9],\n[0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9, 9, 9, 0, 0, 9, 9],\n[9, 9, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9],\n[9, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9, 9, 9],\n[9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 9, 0],\n[9, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9, 0, 0, 9, 9], [0, 0, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 0, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9], [0, 9, 0, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 0, 0, 0, 9, 9, 9, 9, 0, 0, 9, 9], [9, 9, 0, 9, 9, 9, 0, 9, 9, 0, 9, 0, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 0, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9], [9, 9, 0, 9, 0, 0, 9, 9, 0, 9, 0, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0, 0, 9, 9, 9, 9, 9], [9, 9, 0, 9, 0, 9, 9, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 9, 9, 0, 0, 0, 9, 9, 9, 0, 0, 9, 0], [9, 0, 0, 9, 9, 9, 9, 9, 0, 0, 0, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 0]], "task_key": "6e82a1ae"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[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],\n[6, 6, 6, 6, 6, 6, 5, 5, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[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],\n[6, 6, 6, 5, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6],\n[5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6],\n[6, 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, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 5, 5, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 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],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6],\n[5, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 5, 5, 6, 6],\n[6, 5, 5, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[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],\n[6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6],\n[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, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[5, 6, 6],\n[6, 5, 5]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[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],\n[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],\n[8, 8, 8, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 8, 8, 8, 8, 3, 8, 8],\n[8, 8, 8, 8, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 8, 8, 3, 8, 8, 8, 8, 3, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 8, 8, 8, 3, 8, 8, 8, 3, 8, 8, 8, 8],\n[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, 3, 8, 8, 8],\n[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, 3, 8],\n[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, 3],\n[8, 8, 8, 3, 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],\n[8, 8, 8, 8, 3, 8, 8, 8, 8, 8, 8, 3, 8, 8, 8, 8, 8, 8, 8, 3, 8, 8, 8, 8, 3, 8, 8, 8, 8],\n[3, 8, 8, 8, 8, 8, 8, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 8, 8, 8, 8, 3, 8, 8, 8],\n[8, 3, 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],\n[8, 8, 8, 8, 8, 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[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 3, 8, 8, 8, 8, 8, 3, 8, 8, 8, 8, 8, 8, 8, 3, 8, 8, 8, 8, 8, 3, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 8, 8, 8, 8, 8, 8, 8, 8]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[3, 8],\n[8, 3]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6],\n[0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6],\n[0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6],\n[0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6],\n[6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6],\n[6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6],\n[6, 0, 0, 0, 0, 6, 0, 6, 0, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6],\n[6, 0, 0, 0, 6, 6, 0, 0, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6],\n[6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0],\n[0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6],\n[0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6],\n[0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6],\n[0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6],\n[6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[0, 6, 0, 6],\n[0, 0, 0, 0],\n[0, 0, 0, 6],\n[0, 6, 6, 6]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[6, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 6, 6, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 6, 6, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 6, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[7, 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, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [6, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 6, 6, 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, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 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, 6, 6, 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, 6, 6, 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, 6, 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, 7, 6, 7, 7, 7, 7, 7, 7, 6, 6, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 6, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 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, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]], "task_key": "39a8645d"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 5],\n[3, 3, 8, 7, 6, 6, 6, 7, 3, 3, 3, 3, 3],\n[3, 3, 1, 8, 6, 4, 6, 3, 8, 3, 3, 3, 3],\n[3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 5]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 5],\n[3, 3, 3, 3, 3, 8, 7, 6, 6, 6, 7, 3, 3],\n[3, 3, 3, 3, 3, 1, 8, 6, 4, 6, 3, 8, 3],\n[3, 3, 3, 3, 5, 3, 3, 3, 3, 3, 3, 3, 5]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[9, 9, 9, 9],\n[9, 9, 9, 9],\n[9, 9, 9, 9],\n[9, 9, 9, 9],\n[9, 9, 9, 9],\n[2, 9, 2, 9],\n[9, 9, 8, 9],\n[9, 9, 0, 9],\n[9, 9, 0, 9],\n[9, 9, 1, 9],\n[9, 9, 0, 9],\n[2, 9, 2, 9],\n[9, 9, 9, 9],\n[9, 9, 9, 9],\n[9, 9, 9, 9]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[9, 9, 9, 9],\n[9, 9, 9, 9],\n[9, 9, 9, 9],\n[9, 9, 9, 9],\n[9, 9, 9, 9],\n[2, 9, 2, 9],\n[9, 8, 9, 9],\n[9, 0, 9, 9],\n[9, 0, 9, 9],\n[9, 1, 9, 9],\n[9, 0, 9, 9],\n[2, 9, 2, 9],\n[9, 9, 9, 9],\n[9, 9, 9, 9],\n[9, 9, 9, 9]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[6, 2, 1, 2, 6],\n[2, 3, 2, 2, 2],\n[2, 1, 3, 3, 2],\n[2, 9, 8, 8, 2],\n[2, 8, 8, 1, 2],\n[2, 8, 9, 5, 2],\n[2, 3, 5, 5, 2],\n[2, 1, 0, 8, 2],\n[2, 5, 1, 1, 2],\n[2, 8, 3, 3, 2],\n[2, 8, 5, 8, 2],\n[2, 8, 0, 3, 2],\n[2, 1, 1, 1, 2],\n[2, 8, 5, 5, 2],\n[2, 9, 3, 5, 2],\n[2, 3, 5, 3, 2],\n[2, 0, 0, 3, 2],\n[2, 3, 5, 0, 2],\n[2, 5, 1, 5, 2],\n[2, 3, 1, 1, 2],\n[2, 3, 3, 9, 2],\n[2, 3, 5, 0, 2],\n[2, 3, 0, 9, 2],\n[2, 1, 5, 1, 2],\n[2, 0, 1, 5, 2],\n[2, 3, 9, 1, 2],\n[2, 5, 5, 3, 2],\n[2, 2, 2, 2, 2],\n[6, 2, 2, 2, 6],\n[2, 2, 2, 2, 2]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[6, 2, 2, 2, 6],\n[2, 2, 1, 2, 2],\n[2, 3, 2, 2, 2],\n[2, 1, 3, 3, 2],\n[2, 9, 8, 8, 2],\n[2, 8, 8, 1, 2],\n[2, 8, 9, 5, 2],\n[2, 3, 5, 5, 2],\n[2, 1, 0, 8, 2],\n[2, 5, 1, 1, 2],\n[2, 8, 3, 3, 2],\n[2, 8, 5, 8, 2],\n[2, 8, 0, 3, 2],\n[2, 1, 1, 1, 2],\n[2, 8, 5, 5, 2],\n[2, 9, 3, 5, 2],\n[2, 3, 5, 3, 2],\n[2, 0, 0, 3, 2],\n[2, 3, 5, 0, 2],\n[2, 5, 1, 5, 2],\n[2, 3, 1, 1, 2],\n[2, 3, 3, 9, 2],\n[2, 3, 5, 0, 2],\n[2, 3, 0, 9, 2],\n[2, 1, 5, 1, 2],\n[2, 0, 1, 5, 2],\n[2, 3, 9, 1, 2],\n[2, 5, 5, 3, 2],\n[6, 2, 2, 2, 6],\n[2, 2, 2, 2, 2]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 6, 9, 5, 5, 4, 9, 6, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 5, 4, 4, 6, 6, 6, 5, 9, 9, 9, 9],\n[9, 9, 9, 6, 4, 5, 5, 4, 5, 6, 6, 4, 9, 9, 9, 9],\n[9, 9, 9, 9, 6, 9, 4, 4, 6, 6, 5, 4, 9, 9, 9, 9],\n[9, 9, 1, 9, 9, 5, 5, 5, 4, 4, 4, 6, 1, 9, 9, 9]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 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, 5, 5, 4, 9, 6, 9, 9, 9, 9], [9, 9, 9, 9, 9, 5, 4, 4, 6, 6, 6, 5, 9, 9, 9, 9], [9, 9, 9, 6, 4, 5, 5, 4, 5, 6, 6, 4, 9, 9, 9, 9], [9, 9, 9, 9, 6, 9, 4, 4, 6, 6, 5, 4, 9, 9, 9, 9], [9, 9, 1, 9, 9, 5, 5, 5, 4, 4, 4, 6, 1, 9, 9, 9]], "task_key": "a1570a43"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 9, 9, 9, 9, 9, 9, 6],\n[9, 6, 6, 0, 4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 9, 9, 9, 9, 9, 9, 6, 9],\n[9, 6, 0, 4, 4, 9, 9, 9, 9, 9, 9, 9, 9, 2, 9, 9, 9, 9, 9, 9, 6, 9, 9],\n[9, 0, 4, 4, 4, 9, 9, 9, 9, 9, 9, 9, 2, 9, 9, 9, 9, 9, 9, 6, 9, 9, 9],\n[0, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 9, 9, 9, 9, 9, 9, 6, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 6, 9, 9, 9, 9, 9, 6, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 2, 6, 6, 9, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 2, 9, 9, 9, 9, 9, 9, 6, 5, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 2, 9, 9, 9, 9, 9, 9, 6, 5, 5, 9, 9, 9, 9, 9, 9],\n[9, 9, 4, 4, 4, 4, 2, 9, 9, 9, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 4, 4, 4, 2, 9, 9, 9, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 4, 4, 2, 9, 9, 9, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 4, 2, 9, 9, 9, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 2, 9, 9, 9, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 2, 9, 9, 9, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[2, 9, 9, 9, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5],\n[9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 5, 9],\n[6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 5, 7, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 7, 7, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[9, 0, 9, 9, 9, 0, 9, 9, 9, 9, 2, 9, 9, 9, 9, 9, 2, 9, 9, 9, 2, 9, 9],\n[0, 9, 9, 9, 0, 9, 9, 9, 9, 2, 9, 9, 9, 9, 9, 2, 9, 9, 9, 2, 9, 9, 6],\n[9, 9, 9, 0, 9, 9, 9, 9, 2, 9, 9, 9, 9, 9, 2, 9, 9, 9, 2, 9, 9, 6, 9],\n[9, 9, 0, 9, 9, 9, 9, 2, 9, 9, 9, 9, 9, 2, 9, 9, 9, 2, 9, 9, 6, 9, 9],\n[9, 0, 9, 9, 9, 9, 2, 9, 9, 9, 9, 9, 2, 9, 9, 9, 2, 9, 9, 6, 9, 9, 9],\n[0, 9, 9, 9, 9, 2, 9, 9, 9, 9, 9, 2, 9, 9, 9, 2, 9, 9, 6, 9, 9, 9, 6],\n[9, 9, 9, 9, 2, 9, 9, 9, 9, 9, 2, 9, 9, 9, 2, 9, 9, 6, 9, 9, 9, 6, 9],\n[9, 9, 9, 2, 9, 9, 9, 9, 9, 2, 9, 9, 9, 2, 9, 9, 6, 9, 9, 9, 6, 9, 9],\n[9, 9, 2, 9, 9, 9, 9, 9, 2, 9, 9, 9, 2, 9, 9, 6, 9, 9, 9, 6, 9, 9, 9],\n[9, 2, 9, 9, 9, 9, 9, 2, 9, 9, 9, 2, 9, 9, 6, 9, 9, 9, 6, 9, 9, 9, 9],\n[2, 9, 9, 9, 9, 9, 2, 9, 9, 9, 2, 9, 9, 6, 9, 9, 9, 6, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 2, 9, 9, 9, 2, 9, 9, 6, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 2, 9, 9, 9, 2, 9, 9, 6, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 2, 9, 9, 9, 2, 9, 9, 6, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 2, 9, 9, 9, 2, 9, 9, 6, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 2, 9, 9, 9, 2, 9, 9, 6, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[2, 9, 9, 9, 2, 9, 9, 6, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 2, 9, 9, 6, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5],\n[9, 9, 2, 9, 9, 6, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9],\n[9, 2, 9, 9, 6, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9],\n[2, 9, 9, 6, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9],\n[9, 9, 6, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 5],\n[9, 6, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 5, 9],\n[6, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 5, 9, 9],\n[9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 5, 9, 9, 9],\n[9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 5, 9, 9, 9, 5]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 6, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3],\n[3, 8, 6, 7, 7, 3, 3, 3, 3, 3, 3, 3],\n[3, 8, 8, 6, 7, 3, 3, 3, 3, 3, 3, 3],\n[3, 8, 8, 8, 6, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3],\n[6, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3],\n[3, 6, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3],\n[3, 3, 6, 3, 3, 3, 3, 6, 3, 3, 3, 3],\n[3, 3, 3, 6, 3, 3, 3, 3, 6, 3, 3, 3],\n[3, 3, 3, 3, 6, 3, 3, 3, 3, 6, 3, 3],\n[6, 3, 3, 3, 3, 6, 3, 3, 3, 3, 6, 3],\n[3, 6, 3, 3, 3, 3, 6, 3, 3, 3, 3, 6]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 9, 5, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 5, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 5, 8, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 5, 8, 8, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 5, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 5, 8, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 5, 8, 8, 8, 8, 8, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 5],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 5, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 5, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 5, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 5, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 5, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 5, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 5, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 5],\n[2, 2, 2, 5, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 5, 2],\n[2, 2, 5, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 5, 2, 2],\n[2, 5, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2],\n[5, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2],\n[2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2],\n[2, 2, 5, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[2, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 8, 0, 0, 0, 2, 2, 2, 2, 2],\n[2, 2, 2, 8, 0, 0, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 8, 0, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 8, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 6, 8, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 6, 6, 8, 2, 2, 2],\n[2, 2, 2, 2, 2, 6, 6, 6, 8, 2, 2],\n[2, 2, 2, 2, 2, 6, 6, 6, 6, 8, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 8],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[2, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 8, 0, 0, 0, 2, 2, 2, 2, 2], [2, 2, 2, 8, 0, 0, 2, 2, 2, 2, 2], [2, 2, 2, 2, 8, 0, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 8, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 6, 8, 2, 2, 2, 2], [2, 2, 2, 2, 2, 6, 6, 8, 2, 2, 2], [2, 2, 2, 2, 2, 6, 6, 6, 8, 2, 2], [2, 2, 2, 2, 2, 6, 6, 6, 6, 8, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 8], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "task_key": "a78176bb"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0],\n[4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0, 4, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[3, 3, 8, 3, 3, 3],\n[3, 3, 3, 3, 3, 3]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[4, 3, 4, 3, 4, 3],\n[3, 3, 8, 3, 3, 3]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8],\n[8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8],\n[8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8],\n[8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8],\n[8, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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_key": "834ec97d"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 2, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 2, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 2, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[4, 4, 4, 4, 2, 4, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[5, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 2, 4, 2, 4, 4, 4, 2, 4, 2, 4, 4, 2, 4, 4, 2, 4],\n[5, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[5, 5, 2, 5, 5, 5, 5, 5, 2, 5, 2, 5, 5, 2, 5, 5, 2, 5],\n[5, 5, 2, 5, 5, 5, 5, 5, 2, 5, 2, 5, 5, 2, 5, 5, 2, 5],\n[5, 5, 2, 5, 5, 5, 5, 5, 2, 5, 2, 5, 5, 2, 5, 5, 2, 5],\n[4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[2, 4, 2, 4, 4, 4, 4, 4, 2, 4, 2, 4, 4, 2, 4, 4, 2, 4],\n[4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 7, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 7, 3, 3, 3, 3],\n[3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 7, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 7, 3],\n[3, 7, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 7, 3],\n[3, 7, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 7, 3],\n[3, 7, 3, 3, 3, 3, 7, 3, 3, 7, 3, 7, 3, 3, 7, 3],\n[3, 7, 3, 7, 3, 3, 7, 3, 3, 7, 3, 7, 3, 3, 7, 3],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 7, 8, 7, 8, 8, 7, 8, 8, 7, 8, 7, 8, 8, 7, 8]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 3, 8, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 3, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[4, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4],\n[4, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4],\n[4, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 0, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4],\n[4, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4],\n[4, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 0, 2, 4, 2, 2, 2, 2, 2, 4],\n[4, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4],\n[4, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4],\n[4, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4],\n[4, 2, 2, 4, 2, 2, 2, 0, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[4, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4], [4, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4], [4, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 0, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4], [4, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4], [4, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 0, 2, 4, 2, 2, 2, 2, 2, 4], [4, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4], [4, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4], [4, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4], [4, 2, 2, 4, 2, 2, 2, 0, 2, 4, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 4]], "task_key": "ecdecbb3"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 7, 6, 6, 7, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 6, 6, 3, 2, 6, 6, 2],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 2, 2, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 2, 2, 6],\n[6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 6, 6, 6, 5, 6, 6, 5],\n[6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 6, 6, 6, 6, 5, 5, 6],\n[6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 9, 6, 6, 9, 6, 6, 6, 5, 5, 6],\n[6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 9, 6, 6, 6, 6, 9, 6, 6, 6, 6, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 6, 6, 6, 6, 7, 7, 7, 7, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 2, 2, 2, 2],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 2, 2, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 2, 2, 6],\n[6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 6, 6, 6, 5, 5, 5, 5],\n[6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 6, 6, 6, 6, 5, 5, 6],\n[6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 6, 6, 6, 5, 5, 6],\n[6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 9, 9, 9, 9, 9, 9, 6, 6, 6, 6, 6]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 2, 3, 3, 3, 3, 2, 3],\n[3, 3, 2, 3, 3, 2, 3, 3],\n[3, 3, 3, 2, 2, 3, 3, 3],\n[3, 3, 3, 2, 2, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 9, 3, 3, 9, 3, 3],\n[3, 3, 3, 9, 9, 3, 3, 3],\n[3, 3, 3, 9, 9, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 8, 3, 3, 3, 3, 3],\n[3, 3, 3, 8, 8, 3, 3, 3],\n[3, 3, 3, 8, 8, 3, 3, 3],\n[3, 3, 8, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 2, 2, 2, 2, 2, 2, 3],\n[3, 3, 2, 2, 2, 2, 3, 3],\n[3, 3, 3, 2, 2, 3, 3, 3],\n[3, 3, 3, 2, 2, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 9, 9, 9, 9, 3, 3],\n[3, 3, 3, 9, 9, 3, 3, 3],\n[3, 3, 3, 9, 9, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 8, 3, 3, 3, 3, 3],\n[3, 3, 8, 8, 8, 3, 3, 3],\n[3, 3, 8, 8, 8, 3, 3, 3],\n[3, 3, 8, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 5, 1, 1, 1, 1, 5, 1, 1, 1, 1, 6, 6, 1, 4, 1, 1, 1, 1, 1, 1, 4],\n[1, 1, 5, 1, 1, 5, 1, 1, 1, 1, 6, 1, 1, 6, 1, 4, 1, 1, 1, 1, 4, 1],\n[1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 4, 1, 1],\n[1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 4, 4, 1, 1, 1],\n[1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 9, 1, 4, 4, 1, 1, 1],\n[1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 9, 9, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 9, 9, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1, 1, 1]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 5, 5, 5, 5, 5, 5, 1, 1, 1, 1, 6, 6, 1, 4, 4, 4, 4, 4, 4, 4, 4],\n[1, 1, 5, 5, 5, 5, 1, 1, 1, 1, 6, 6, 6, 6, 1, 4, 4, 4, 4, 4, 4, 1],\n[1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 1, 1],\n[1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 4, 4, 1, 1, 1],\n[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 9, 9, 4, 4, 1, 1, 1],\n[1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 9, 9, 9, 9, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 9, 9, 9, 9, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 9, 9, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 9, 1, 1, 1, 1, 1]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 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, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 5, 5, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 7, 5, 5, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 7, 7, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 5, 5, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 5, 5, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]], "task_key": "22168020"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[1, 1, 1, 1, 4, 3, 3, 3, 3, 3, 3],\n[1, 1, 1, 1, 4, 3, 3, 3, 3, 3, 3],\n[1, 1, 1, 1, 4, 3, 3, 3, 3, 3, 3],\n[1, 1, 1, 1, 4, 3, 3, 3, 3, 3, 3],\n[1, 1, 1, 1, 4, 3, 3, 3, 3, 3, 3],\n[1, 1, 1, 1, 4, 3, 3, 3, 3, 3, 3],\n[1, 1, 1, 1, 4, 3, 3, 3, 3, 3, 3],\n[1, 1, 1, 1, 4, 3, 3, 3, 3, 3, 3],\n[1, 1, 1, 1, 4, 3, 3, 3, 3, 3, 3],\n[1, 1, 1, 1, 4, 3, 3, 3, 3, 3, 3],\n[1, 1, 1, 1, 4, 3, 3, 3, 3, 3, 3],\n[1, 1, 1, 1, 4, 3, 3, 3, 3, 3, 3],\n[2, 1, 1, 1, 4, 3, 3, 3, 3, 3, 3],\n[2, 2, 1, 1, 4, 3, 3, 3, 3, 3, 3],\n[2, 2, 2, 1, 4, 3, 3, 3, 3, 3, 3],\n[2, 2, 2, 2, 4, 3, 3, 3, 3, 3, 3],\n[2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3],\n[2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3],\n[2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3],\n[2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 0, 2, 2],\n[2, 2, 2, 2, 2, 0, 2, 2],\n[2, 2, 2, 2, 2, 0, 2, 2],\n[2, 2, 2, 2, 2, 0, 2, 2],\n[2, 2, 2, 2, 2, 0, 2, 2],\n[2, 2, 2, 2, 2, 0, 2, 2],\n[2, 2, 2, 2, 2, 0, 2, 2],\n[2, 2, 2, 2, 2, 0, 2, 2],\n[2, 2, 2, 2, 2, 0, 2, 2],\n[2, 2, 2, 2, 2, 0, 2, 2],\n[2, 2, 2, 2, 2, 0, 2, 2],\n[2, 2, 2, 2, 2, 0, 2, 2]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[3, 3, 3, 2, 2, 2, 2, 2],\n[3, 3, 3, 3, 2, 2, 2, 2],\n[3, 3, 3, 3, 3, 2, 2, 2],\n[3, 3, 3, 3, 3, 0, 2, 2],\n[3, 3, 3, 3, 3, 0, 1, 2],\n[3, 3, 3, 3, 3, 0, 1, 1],\n[3, 3, 3, 3, 3, 0, 1, 1],\n[3, 3, 3, 3, 3, 0, 1, 1],\n[3, 3, 3, 3, 3, 0, 1, 1],\n[3, 3, 3, 3, 3, 0, 1, 1],\n[3, 3, 3, 3, 3, 0, 1, 1],\n[3, 3, 3, 3, 3, 0, 1, 1],\n[3, 3, 3, 3, 3, 0, 1, 1],\n[3, 3, 3, 3, 3, 0, 1, 1],\n[3, 3, 3, 3, 3, 0, 1, 1]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[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],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 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],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 1],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 1, 1],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 1, 1, 1],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1],\n[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],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 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, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 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_key": "a65b410d"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 3, 3, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 3, 1, 6, 6, 6, 6, 6],\n[5, 6, 6, 3, 8, 6, 6, 6, 6, 6, 6],\n[6, 8, 8, 2, 7, 2, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 7],\n[0, 0, 0, 0, 1, 0],\n[0, 0, 0, 0, 1, 0],\n[0, 0, 0, 0, 3, 3],\n[0, 0, 0, 0, 3, 1],\n[5, 0, 0, 3, 8, 0],\n[0, 8, 8, 2, 7, 2]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 2, 7, 8, 1, 1, 1, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 2, 8, 1, 2, 7, 8, 7, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 1, 8, 7, 1, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 7, 8, 1, 2, 8, 7, 2, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[2, 7, 0, 1, 1, 1, 0],\n[2, 0, 1, 2, 7, 0, 7],\n[0, 7, 1, 0, 7, 1, 0],\n[7, 0, 1, 2, 0, 7, 2]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2],\n[2, 7, 2, 6, 6, 7, 7, 2, 2, 2, 2],\n[2, 6, 6, 6, 6, 2, 2, 2, 2, 2, 2],\n[2, 6, 2, 7, 6, 9, 3, 2, 2, 2, 2],\n[2, 7, 9, 7, 9, 4, 2, 2, 2, 2, 2],\n[2, 4, 6, 9, 7, 3, 3, 6, 3, 7, 2],\n[2, 2, 2, 3, 2, 6, 3, 2, 2, 2, 2],\n[2, 2, 2, 7, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[0, 0, 0, 6, 0, 0, 0, 0, 0],\n[7, 0, 6, 6, 7, 7, 0, 0, 0],\n[6, 6, 6, 6, 0, 0, 0, 0, 0],\n[6, 0, 7, 6, 9, 3, 0, 0, 0],\n[7, 9, 7, 9, 4, 0, 0, 0, 0],\n[4, 6, 9, 7, 3, 3, 6, 3, 7],\n[0, 0, 3, 0, 6, 3, 0, 0, 0],\n[0, 0, 7, 0, 0, 0, 0, 0, 0]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 5, 2, 2, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 3, 3, 5, 3, 2, 2, 2, 2, 3, 5, 2, 2, 2, 2, 2],\n[2, 2, 2, 5, 5, 3, 5, 5, 3, 2, 2, 5, 3, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 5, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2],\n[2, 2, 2, 5, 3, 2, 5, 2, 2, 2, 2, 5, 5, 5, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 3, 2, 5, 3, 5, 2, 3, 5, 5, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 5, 2, 5, 5, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2],\n[2, 2, 2, 5, 2, 5, 3, 3, 3, 5, 3, 2, 5, 3, 2, 2, 2, 2, 2],\n[2, 2, 2, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 2, 5, 2, 2, 2, 2],\n[2, 2, 2, 3, 2, 5, 5, 3, 3, 3, 3, 5, 5, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 5, 5, 3, 5, 3, 2, 3, 5, 2, 5, 2, 2, 2, 2, 2],\n[2, 2, 2, 5, 3, 5, 2, 3, 5, 2, 5, 5, 3, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 3, 3, 2, 5, 2, 3, 5, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 3, 2, 3, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 3, 3, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 5, 2, 2, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 3, 3, 5, 3, 2, 2, 2, 2, 3, 5, 2, 2, 2, 2, 2], [2, 2, 2, 5, 5, 3, 5, 5, 3, 2, 2, 5, 3, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 5, 2, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2], [2, 2, 2, 5, 3, 2, 5, 2, 2, 2, 2, 5, 5, 5, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 3, 2, 5, 3, 5, 2, 3, 5, 5, 2, 2, 2, 2, 2], [2, 2, 2, 2, 5, 2, 5, 5, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2], [2, 2, 2, 5, 2, 5, 3, 3, 3, 5, 3, 2, 5, 3, 2, 2, 2, 2, 2], [2, 2, 2, 3, 3, 3, 3, 5, 3, 3, 3, 5, 3, 2, 5, 2, 2, 2, 2], [2, 2, 2, 3, 2, 5, 5, 3, 3, 3, 3, 5, 5, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 5, 5, 3, 5, 3, 2, 3, 5, 2, 5, 2, 2, 2, 2, 2], [2, 2, 2, 5, 3, 5, 2, 3, 5, 2, 5, 5, 3, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 3, 3, 2, 5, 2, 3, 5, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 3, 2, 3, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 3, 3, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]], "task_key": "a740d043"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[7, 7, 7, 7, 9, 7, 7, 7, 7, 3, 7, 7, 9, 7],\n[7, 7, 7, 7, 7, 1, 7, 7, 7, 7, 7, 7, 7, 9],\n[8, 7, 7, 7, 7, 7, 3, 7, 7, 6, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 4, 7, 7, 4, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 3, 7, 7, 7, 7, 7, 7, 7, 6],\n[7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7, 7, 7, 7],\n[7, 4, 7, 7, 6, 7, 7, 7, 7, 7, 7, 2, 9, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 2, 7, 7, 7, 7, 7, 7, 7, 7, 9, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[6, 7, 7, 7, 7, 7, 7, 1, 7, 1, 7, 9, 7, 7],\n[7, 7, 7, 7, 2, 1, 7, 7, 7, 7, 7, 7, 7, 7],\n[3, 7, 7, 7, 7, 4, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 6, 7, 7, 1, 7, 6, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 9],\n[7, 7, 7, 2, 2, 7, 7, 7, 7, 6, 7, 7, 4, 7],\n[9, 7, 7, 9, 4, 7, 7, 7, 7, 7, 7, 4, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 7]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[8, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1],\n[4, 4, 4, 4, 6, 4, 4, 6, 4, 4, 1, 4, 4],\n[4, 1, 4, 4, 4, 6, 6, 0, 4, 4, 4, 1, 4],\n[4, 6, 4, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4],\n[4, 1, 6, 4, 4, 4, 6, 6, 4, 4, 4, 6, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 6, 1],\n[4, 1, 6, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 1, 4, 4],\n[4, 4, 1, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 6],\n[4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 6, 4, 4, 6, 1, 1, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 6, 4, 4, 6, 4, 6, 4, 4],\n[1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 1, 4, 4, 1, 4, 1, 4, 1, 6],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 4, 4],\n[4, 6, 4, 4, 4, 4, 4, 1, 4, 4, 1, 4, 4]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 2, 2, 2, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 2, 0, 2, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 2, 2, 2, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[2, 4, 3, 6, 9, 2, 2, 3, 6, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 3, 6, 4, 2, 3, 2],\n[2, 2, 2, 4, 2, 2, 2, 2, 2, 2, 9, 2, 2, 3, 3, 2, 9, 9, 6, 4, 2, 2, 2, 2, 2, 6, 3],\n[9, 2, 2, 3, 2, 3, 9, 2, 2, 2, 2, 2, 9, 2, 6, 2, 9, 9, 2, 2, 2, 2, 6, 2, 2, 2, 2],\n[2, 2, 2, 9, 2, 4, 6, 4, 2, 9, 2, 9, 3, 2, 9, 4, 9, 9, 2, 2, 2, 2, 2, 3, 2, 4, 4],\n[6, 3, 3, 4, 2, 2, 2, 2, 6, 2, 2, 4, 6, 3, 2, 6, 2, 4, 4, 2, 4, 4, 2, 2, 2, 9, 2],\n[9, 2, 2, 2, 2, 3, 6, 2, 2, 2, 2, 6, 2, 9, 3, 2, 4, 2, 6, 2, 2, 2, 9, 2, 9, 2, 2],\n[3, 2, 6, 2, 9, 9, 3, 6, 4, 2, 4, 2, 2, 2, 2, 3, 2, 2, 6, 2, 4, 2, 2, 9, 6, 2, 9],\n[4, 2, 2, 2, 9, 2, 2, 9, 2, 4, 2, 2, 9, 2, 2, 2, 4, 3, 2, 2, 2, 3, 4, 4, 9, 4, 2],\n[4, 4, 2, 2, 9, 2, 2, 2, 6, 2, 2, 2, 4, 2, 2, 9, 2, 3, 6, 2, 2, 2, 2, 2, 3, 2, 2]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[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],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[5, 5, 5, 5, 1, 7, 7, 5, 6, 5],\n[5, 5, 5, 7, 5, 5, 5, 5, 5, 5],\n[6, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 1, 5, 7, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 8, 5, 1, 5, 5, 5, 1],\n[5, 5, 5, 6, 8, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 8, 8, 8, 5, 5],\n[5, 5, 7, 7, 5, 5, 5, 6, 5, 1],\n[5, 5, 5, 1, 5, 5, 5, 6, 8, 5],\n[6, 5, 5, 6, 5, 5, 5, 7, 5, 5],\n[5, 5, 8, 5, 7, 8, 7, 5, 5, 6],\n[1, 5, 5, 5, 5, 5, 5, 7, 5, 5],\n[5, 5, 7, 5, 5, 5, 5, 5, 7, 5],\n[5, 5, 8, 5, 5, 5, 5, 5, 7, 8],\n[5, 5, 9, 5, 5, 5, 7, 5, 5, 1],\n[6, 5, 8, 5, 1, 5, 6, 5, 5, 5],\n[5, 5, 7, 5, 5, 8, 5, 5, 8, 5],\n[1, 5, 5, 5, 5, 5, 8, 5, 1, 6],\n[5, 5, 5, 7, 5, 5, 5, 1, 5, 5],\n[5, 5, 5, 7, 5, 5, 5, 1, 5, 5],\n[5, 5, 5, 5, 6, 5, 5, 6, 8, 5]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[5, 5, 5, 5, 1, 7, 7, 5, 6, 5], [5, 5, 5, 7, 5, 5, 5, 5, 5, 5], [6, 5, 5, 5, 5, 5, 5, 5, 5, 5], [5, 1, 5, 7, 5, 5, 5, 5, 5, 5], [5, 5, 5, 8, 5, 1, 5, 5, 5, 1], [5, 5, 5, 6, 8, 5, 5, 5, 5, 5], [5, 5, 5, 5, 5, 8, 8, 8, 5, 5], [5, 5, 7, 7, 5, 5, 5, 6, 5, 1], [5, 5, 5, 1, 5, 5, 5, 6, 8, 5], [6, 5, 5, 6, 5, 5, 5, 7, 5, 5], [5, 5, 8, 5, 7, 8, 7, 5, 5, 6], [1, 5, 5, 5, 5, 5, 5, 7, 5, 5], [5, 5, 7, 5, 5, 5, 5, 5, 7, 5], [5, 5, 8, 5, 5, 5, 5, 5, 7, 8], [5, 5, 9, 5, 5, 5, 7, 5, 5, 1], [6, 5, 8, 5, 1, 5, 6, 5, 5, 5], [5, 5, 7, 5, 5, 8, 5, 5, 8, 5], [1, 5, 5, 5, 5, 5, 8, 5, 1, 6], [5, 5, 5, 7, 5, 5, 5, 1, 5, 5], [5, 5, 5, 7, 5, 5, 5, 1, 5, 5], [5, 5, 5, 5, 6, 5, 5, 6, 8, 5]], "task_key": "31aa019c"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 4, 4, 4, 4, 8, 8, 4, 4],\n[4, 4, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 4, 4],\n[4, 4, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 4, 4, 4, 4, 8, 8, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 8, 8, 4, 4, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 8, 8, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 8, 8, 8, 8, 4, 4, 4, 8, 8, 4, 4, 4, 8, 8, 4, 4],\n[8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 4, 4],\n[8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 3, 4, 4, 3, 3, 3, 3, 4],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 3, 4, 4, 3, 8, 8, 3, 4],\n[3, 3, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 4, 4, 3, 8, 8, 3, 4],\n[3, 3, 8, 8, 8, 8, 3, 3, 4, 1, 1, 4, 4, 4, 3, 3, 3, 3, 4],\n[3, 3, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 4, 1, 1, 4, 4],\n[3, 3, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 3, 3, 4, 3, 8, 8, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 8, 8, 8, 8, 3, 3, 4, 3, 8, 8, 3],\n[4, 4, 1, 3, 3, 3, 3, 3, 8, 8, 8, 8, 3, 3, 4, 3, 3, 3, 3],\n[4, 4, 1, 3, 8, 8, 3, 3, 8, 8, 8, 8, 3, 3, 4, 1, 1, 1, 4],\n[4, 4, 1, 3, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 4, 1, 1, 1, 4],\n[4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 1, 1, 1, 4],\n[4, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 4, 4, 4, 1, 1, 1, 4],\n[4, 3, 3, 8, 8, 8, 8, 3, 3, 1, 1, 1, 4, 4, 4, 1, 1, 1, 4],\n[4, 3, 3, 8, 8, 8, 8, 3, 3, 3, 3, 3, 3, 4, 4, 1, 1, 1, 4],\n[4, 3, 3, 8, 8, 8, 8, 3, 3, 3, 8, 8, 3, 4, 3, 3, 3, 3, 4],\n[3, 3, 3, 8, 8, 8, 8, 3, 3, 3, 8, 8, 3, 4, 3, 8, 8, 3, 4],\n[8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 8, 8, 3, 4],\n[8, 8, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 4, 4, 3, 3, 3, 3, 4],\n[3, 3, 3, 1, 1, 1, 1, 4, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 4],\n[1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 4],\n[1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 4, 4, 4, 1, 1, 1, 4]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 4, 4, 4],\n[4, 4, 7, 7, 4, 4, 4, 4, 7, 7, 4, 4, 4],\n[4, 4, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 4, 4, 4],\n[4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 4, 4, 4],\n[4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 4, 4, 4],\n[4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 4, 4, 4],\n[4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 4, 4, 4],\n[4, 4, 4, 4, 7, 7, 7, 7, 7, 7, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[4, 3, 3, 3, 3, 4, 4, 3, 7, 7, 3, 4, 4],\n[4, 3, 7, 7, 3, 3, 3, 3, 7, 7, 3, 3, 3],\n[4, 3, 7, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[4, 3, 3, 3, 7, 7, 7, 7, 7, 7, 3, 3, 3],\n[4, 3, 3, 3, 7, 7, 7, 7, 7, 7, 3, 3, 3],\n[4, 3, 3, 3, 7, 7, 7, 7, 7, 7, 3, 3, 3],\n[4, 3, 3, 3, 7, 7, 7, 7, 7, 7, 3, 3, 3],\n[4, 3, 3, 3, 7, 7, 7, 7, 7, 7, 3, 3, 3],\n[4, 3, 3, 3, 7, 7, 7, 7, 7, 7, 3, 3, 3],\n[4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[4, 4, 1, 1, 1, 1, 1, 1, 1, 1, 4, 4, 4]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[7, 7, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8, 8, 8],\n[7, 7, 8, 7, 7, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 8],\n[8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8],\n[7, 7, 8, 8, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 7, 7, 8],\n[7, 7, 8, 8, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 7, 7, 8],\n[8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 8],\n[8, 8, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 8],\n[8, 8, 7, 7, 7, 7, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8],\n[8, 8, 7, 7, 7, 7, 8, 8, 8, 8, 8, 7, 7, 8, 7, 7, 8],\n[8, 8, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8],\n[7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 8],\n[7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[7, 7, 3, 7, 7, 3, 3, 3, 7, 7, 3, 3, 3, 3, 3, 3, 3],\n[7, 7, 3, 7, 7, 3, 3, 3, 7, 7, 3, 3, 3, 3, 7, 7, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 3],\n[1, 3, 3, 3, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3],\n[1, 3, 3, 3, 7, 7, 7, 7, 7, 7, 3, 3, 3, 8, 1, 1, 8],\n[3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3],\n[7, 7, 3, 3, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 7, 7, 3],\n[7, 7, 3, 3, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 7, 7, 3],\n[3, 3, 3, 3, 7, 7, 7, 7, 7, 7, 3, 3, 3, 3, 3, 3, 3],\n[1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 1, 1, 8],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 7, 3],\n[3, 3, 7, 7, 7, 7, 3, 3, 1, 1, 3, 3, 3, 3, 7, 7, 3],\n[3, 3, 7, 7, 7, 7, 3, 3, 1, 1, 3, 7, 7, 3, 3, 3, 3],\n[3, 3, 7, 7, 7, 7, 3, 3, 1, 1, 3, 7, 7, 3, 7, 7, 3],\n[3, 3, 7, 7, 7, 7, 3, 3, 1, 3, 3, 3, 3, 3, 7, 7, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 7, 7, 3, 3, 3, 3, 3],\n[7, 7, 3, 3, 3, 3, 3, 3, 1, 3, 7, 7, 3, 8, 1, 1, 8],\n[7, 7, 3, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 8, 1, 1, 8],\n[3, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 8],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 8],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 8]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[6, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 2, 2, 6, 6, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 2, 2, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 2, 2, 2, 2, 2, 2, 6, 6, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 2, 2, 2, 2, 2, 2, 6, 6, 2, 2, 2, 2, 6, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6, 6],\n[6, 6, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6, 6],\n[6, 6, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6, 6],\n[6, 6, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6, 6],\n[6, 6, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[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],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[6, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6], [6, 2, 2, 6, 6, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 2, 2, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 2, 2, 2, 2, 2, 2, 6, 6, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 2, 2, 2, 2, 2, 2, 6, 6, 2, 2, 2, 2, 6, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6, 6], [6, 6, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6, 6], [6, 6, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6, 6], [6, 6, 2, 2, 2, 2, 2, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 2, 2, 6, 6, 6, 6], [6, 6, 2, 2, 2, 2, 2, 2, 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, 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, 6, 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_key": "db93a21d"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[9, 4, 4, 3, 3, 4, 3, 4],\n[4, 3, 3, 9, 9, 9, 4, 4],\n[9, 4, 4, 3, 9, 3, 4, 4],\n[3, 9, 4, 9, 3, 9, 4, 4],\n[3, 3, 4, 3, 9, 4, 4, 4],\n[3, 3, 4, 4, 4, 4, 4, 4],\n[9, 4, 4, 4, 9, 3, 3, 9],\n[4, 4, 4, 9, 9, 4, 4, 3],\n[4, 3, 4, 9, 3, 4, 9, 4],\n[3, 3, 9, 9, 3, 4, 4, 9],\n[4, 4, 4, 4, 3, 4, 4, 4],\n[4, 4, 9, 3, 4, 4, 4, 4],\n[4, 4, 4, 9, 4, 4, 9, 9],\n[4, 4, 4, 3, 4, 3, 3, 3],\n[9, 4, 9, 3, 3, 4, 4, 9]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[9, 4, 4, 3, 3, 4, 3, 4, 4, 3, 4, 3, 3, 4, 4, 9],\n[4, 3, 3, 9, 9, 9, 4, 4, 4, 4, 9, 9, 9, 3, 3, 4],\n[9, 4, 4, 3, 9, 3, 4, 4, 4, 4, 3, 9, 3, 4, 4, 9],\n[3, 9, 4, 9, 3, 9, 4, 4, 4, 4, 9, 3, 9, 4, 9, 3],\n[3, 3, 4, 3, 9, 4, 4, 4, 4, 4, 4, 9, 3, 4, 3, 3],\n[3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3],\n[9, 4, 4, 4, 9, 3, 3, 9, 9, 3, 3, 9, 4, 4, 4, 9],\n[4, 4, 4, 9, 9, 4, 4, 3, 3, 4, 4, 9, 9, 4, 4, 4],\n[4, 3, 4, 9, 3, 4, 9, 4, 4, 9, 4, 3, 9, 4, 3, 4],\n[3, 3, 9, 9, 3, 4, 4, 9, 9, 4, 4, 3, 9, 9, 3, 3],\n[4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4],\n[4, 4, 9, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 9, 4, 4],\n[4, 4, 4, 9, 4, 4, 9, 9, 9, 9, 4, 4, 9, 4, 4, 4],\n[4, 4, 4, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 4, 4, 4],\n[9, 4, 9, 3, 3, 4, 4, 9, 9, 4, 4, 3, 3, 9, 4, 9]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[4, 5, 8, 9, 8, 9, 8, 8],\n[8, 8, 2, 8, 8, 8, 4, 8],\n[8, 8, 4, 9, 4, 8, 2, 2],\n[9, 8, 8, 8, 8, 8, 8, 8],\n[4, 2, 5, 8, 8, 8, 8, 9],\n[9, 9, 4, 8, 8, 8, 8, 8],\n[8, 2, 6, 8, 4, 8, 2, 6],\n[8, 9, 8, 5, 8, 4, 8, 8],\n[1, 8, 8, 4, 8, 8, 8, 9],\n[8, 8, 8, 8, 8, 2, 8, 8]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[4, 5, 8, 9, 8, 9, 8, 8, 8, 8, 9, 8, 9, 8, 5, 4],\n[8, 8, 2, 8, 8, 8, 4, 8, 8, 4, 8, 8, 8, 2, 8, 8],\n[8, 8, 4, 9, 4, 8, 2, 2, 2, 2, 8, 4, 9, 4, 8, 8],\n[9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9],\n[4, 2, 5, 8, 8, 8, 8, 9, 9, 8, 8, 8, 8, 5, 2, 4],\n[9, 9, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 9, 9],\n[8, 2, 6, 8, 4, 8, 2, 6, 6, 2, 8, 4, 8, 6, 2, 8],\n[8, 9, 8, 5, 8, 4, 8, 8, 8, 8, 4, 8, 5, 8, 9, 8],\n[1, 8, 8, 4, 8, 8, 8, 9, 9, 8, 8, 8, 4, 8, 8, 1],\n[8, 8, 8, 8, 8, 2, 8, 8, 8, 8, 2, 8, 8, 8, 8, 8]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[6, 2, 2, 4],\n[2, 2, 2, 2],\n[2, 2, 2, 2],\n[2, 2, 2, 2],\n[6, 2, 2, 2],\n[2, 1, 1, 2],\n[2, 2, 5, 2],\n[0, 5, 7, 5],\n[2, 6, 5, 2],\n[3, 3, 3, 1],\n[2, 4, 6, 2],\n[2, 2, 2, 3],\n[2, 7, 1, 2],\n[6, 5, 2, 2]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[6, 2, 2, 4, 4, 2, 2, 6],\n[2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2],\n[6, 2, 2, 2, 2, 2, 2, 6],\n[2, 1, 1, 2, 2, 1, 1, 2],\n[2, 2, 5, 2, 2, 5, 2, 2],\n[0, 5, 7, 5, 5, 7, 5, 0],\n[2, 6, 5, 2, 2, 5, 6, 2],\n[3, 3, 3, 1, 1, 3, 3, 3],\n[2, 4, 6, 2, 2, 6, 4, 2],\n[2, 2, 2, 3, 3, 2, 2, 2],\n[2, 7, 1, 2, 2, 1, 7, 2],\n[6, 5, 2, 2, 2, 2, 5, 6]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[9, 7, 9, 9, 7, 9, 9, 9],\n[9, 7, 9, 9, 9, 0, 9, 1],\n[9, 3, 9, 9, 9, 9, 3, 9],\n[9, 9, 9, 9, 9, 3, 9, 1],\n[9, 9, 9, 0, 8, 4, 7, 9],\n[9, 8, 9, 8, 9, 9, 8, 7],\n[8, 3, 9, 0, 9, 9, 5, 1],\n[9, 9, 0, 8, 9, 5, 1, 9],\n[6, 9, 9, 9, 9, 1, 9, 9],\n[8, 9, 9, 9, 7, 9, 0, 9],\n[0, 9, 9, 9, 8, 9, 3, 9],\n[9, 9, 9, 9, 9, 9, 9, 8],\n[9, 9, 1, 7, 9, 9, 9, 8],\n[9, 8, 9, 0, 9, 9, 1, 7],\n[9, 9, 3, 9, 9, 9, 9, 3],\n[9, 1, 9, 9, 1, 9, 1, 9],\n[8, 7, 9, 7, 9, 9, 9, 9],\n[9, 1, 9, 9, 3, 9, 8, 7],\n[9, 4, 0, 0, 9, 9, 9, 0],\n[1, 9, 9, 7, 0, 9, 9, 9],\n[6, 9, 9, 9, 1, 9, 9, 9],\n[9, 9, 9, 7, 9, 7, 1, 7],\n[9, 9, 9, 9, 9, 4, 9, 9],\n[9, 9, 9, 9, 9, 7, 9, 9],\n[9, 9, 9, 9, 0, 8, 9, 0]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[9, 7, 9, 9, 7, 9, 9, 9], [9, 7, 9, 9, 9, 0, 9, 1], [9, 3, 9, 9, 9, 9, 3, 9], [9, 9, 9, 9, 9, 3, 9, 1], [9, 9, 9, 0, 8, 4, 7, 9], [9, 8, 9, 8, 9, 9, 8, 7], [8, 3, 9, 0, 9, 9, 5, 1], [9, 9, 0, 8, 9, 5, 1, 9], [6, 9, 9, 9, 9, 1, 9, 9], [8, 9, 9, 9, 7, 9, 0, 9], [0, 9, 9, 9, 8, 9, 3, 9], [9, 9, 9, 9, 9, 9, 9, 8], [9, 9, 1, 7, 9, 9, 9, 8], [9, 8, 9, 0, 9, 9, 1, 7], [9, 9, 3, 9, 9, 9, 9, 3], [9, 1, 9, 9, 1, 9, 1, 9], [8, 7, 9, 7, 9, 9, 9, 9], [9, 1, 9, 9, 3, 9, 8, 7], [9, 4, 0, 0, 9, 9, 9, 0], [1, 9, 9, 7, 0, 9, 9, 9], [6, 9, 9, 9, 1, 9, 9, 9], [9, 9, 9, 7, 9, 7, 1, 7], [9, 9, 9, 9, 9, 4, 9, 9], [9, 9, 9, 9, 9, 7, 9, 9], [9, 9, 9, 9, 0, 8, 9, 0]], "task_key": "c9e6f938"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 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],\n[7, 7, 6, 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],\n[7, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 7, 7, 7, 7],\n[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],\n[7, 7, 7, 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],\n[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, 0, 7],\n[7, 7, 7, 0, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7],\n[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, 0],\n[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, 0, 7],\n[7, 7, 7, 7, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[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],\n[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],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 7, 7, 6, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 4, 4, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7],\n[7, 7, 7, 7, 4, 4, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7],\n[7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 7, 5, 7, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[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],\n[8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7],\n[7, 7, 6, 7, 7, 7, 7, 7, 7, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 5, 7, 7, 7],\n[7, 6, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 6, 6, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7],\n[7, 7, 7, 8, 7, 7, 7, 5, 7, 7, 7, 7, 7, 6, 6, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 6, 6, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 7, 7, 7, 7, 7, 2, 7, 8, 7, 7],\n[7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 0],\n[7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7],\n[7, 7, 7, 0, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 8, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 0],\n[7, 7, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 7, 7, 7, 7, 7, 8, 7, 7, 7, 0, 7],\n[7, 7, 7, 7, 4, 7, 7, 7, 7, 7, 8, 8, 8, 7, 7, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 4, 7, 7, 7, 7, 7, 7, 8, 8, 8, 7, 7, 7, 7, 8, 7, 7, 8, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 7, 7, 6, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 7, 7, 7, 7, 7, 4, 4, 4, 7, 7, 7, 7, 8, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 7, 7, 7, 7, 7, 7, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 8, 7],\n[7, 7, 7, 7, 4, 4, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7],\n[7, 7, 7, 7, 4, 4, 7, 7, 7, 8, 7, 7, 7, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7],\n[7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 7, 5, 7, 4, 4, 4, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 4, 4, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7],\n[7, 7, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 7, 7, 8, 8, 8, 7, 7, 7, 7, 7, 7]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 9],\n[3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 2],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3],\n[3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3],\n[3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[3, 3, 3, 3, 3, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 8, 3, 3, 3, 3, 8, 8, 3, 3, 3, 3, 8, 3, 3, 3, 9, 3],\n[3, 3, 3, 3, 3, 3, 3, 8, 8, 3, 3, 7, 3, 3, 3, 3, 3, 3, 9],\n[3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3, 3, 8, 3, 3],\n[3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 8, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 8, 3, 3, 3, 8, 3, 3],\n[3, 8, 8, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 2],\n[3, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 8, 3, 3],\n[3, 3, 3, 3, 3, 3, 8, 8, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3],\n[3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3],\n[3, 3, 4, 4, 3, 3, 3, 3, 8, 3, 3, 3, 3, 8, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8, 3, 3, 3, 3, 3, 3, 8],\n[8, 8, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 4, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 4, 2, 2, 2, 2, 9, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 2],\n[2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 9, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 9, 2, 2, 2, 2, 2, 2, 2],\n[2, 5, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 4, 2, 2, 9, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 5, 2, 2, 2, 2, 5, 2, 2, 2, 2, 4, 2, 2, 2, 9, 9, 2, 2, 2, 2, 2, 2, 5, 2, 2],\n[2, 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],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2],\n[2, 2, 5, 2, 2, 2, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2],\n[2, 5, 2, 2, 2, 2, 5, 5, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2],\n[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, 9, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[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],\n[2, 2, 2, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 4, 2, 2, 2, 2],\n[2, 2, 2, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 5],\n[2, 2, 2, 2, 2, 4, 4, 2, 2, 2, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2],\n[2, 2, 2, 2, 2, 4, 4, 2, 2, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 2, 2, 2],\n[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]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[2, 2, 2, 2, 2, 2, 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, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 4, 2, 2, 2, 2, 9, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 2], [2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 9, 9, 2, 2, 2, 2, 2, 2, 2], [2, 5, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 4, 2, 2, 9, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 5, 2, 2, 2, 2, 5, 2, 2, 2, 2, 4, 2, 2, 2, 9, 9, 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, 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, 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, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2], [2, 2, 5, 2, 2, 2, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2], [2, 5, 2, 2, 2, 2, 5, 5, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 4, 2, 2, 2, 2], [2, 2, 2, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 5], [2, 2, 2, 2, 2, 4, 4, 2, 2, 2, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2], [2, 2, 2, 2, 2, 4, 4, 2, 2, 9, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 2, 2, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 9, 2, 2, 2, 2, 2, 2, 2, 2]], "task_key": "22233c11"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 0, 6],\n[6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6],\n[0, 0, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0],\n[6, 6, 6, 6, 0, 6, 0, 6, 0, 6, 0, 6],\n[6, 6, 6, 6, 0, 0, 0, 6, 0, 6, 0, 6],\n[6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6],\n[6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 0, 4, 0, 6],\n[6, 6, 6, 6, 0, 0, 0, 6, 0, 4, 0, 6],\n[0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0],\n[6, 6, 6, 6, 0, 4, 0, 6, 0, 4, 0, 6],\n[6, 6, 6, 6, 0, 0, 0, 6, 0, 4, 0, 6],\n[6, 6, 6, 6, 6, 0, 6, 6, 0, 0, 0, 6],\n[6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 9, 9],\n[9, 9, 5, 5, 5, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 5, 9, 9],\n[9, 9, 5, 9, 5, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 5, 9, 9],\n[5, 5, 5, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 5, 5, 5],\n[9, 9, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 5, 9, 9],\n[9, 9, 9, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 5, 9, 9],\n[9, 9, 9, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 9, 9],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 9, 9],\n[9, 9, 5, 5, 5, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 5, 4, 4, 4, 4, 5, 9, 9],\n[9, 9, 5, 4, 5, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 5, 4, 4, 4, 4, 5, 9, 9],\n[5, 5, 5, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 5, 5, 5],\n[9, 9, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 4, 4, 4, 4, 5, 9, 9],\n[9, 9, 9, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 4, 4, 4, 4, 5, 9, 9],\n[9, 9, 9, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 9, 9],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 8, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 8, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 8, 8, 8, 8, 8],\n[1, 1, 1, 1, 8, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 8, 1, 1, 1, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8, 1, 1, 1, 8],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 8, 8, 8, 8, 8],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 8, 1, 1, 1],\n[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],\n[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],\n[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],\n[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]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 8, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 8, 1, 1, 1, 1, 8, 4, 4, 4, 4, 4, 8, 1, 1, 1, 1, 8, 8, 8, 8, 8],\n[1, 1, 1, 1, 8, 1, 1, 1, 1, 8, 4, 4, 4, 4, 4, 8, 1, 1, 1, 1, 8, 4, 4, 4, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 4, 4, 4, 8],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 4, 4, 4, 4, 4, 8, 1, 1, 1, 1, 8, 8, 8, 8, 8],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 8, 8, 8, 8, 8, 8, 1, 1, 1, 1, 1, 8, 1, 1, 1],\n[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],\n[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],\n[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],\n[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]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[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],\n[9, 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],\n[9, 6, 9, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[9, 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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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],\n[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]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[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, 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, 6, 9, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [9, 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, 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], [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, 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, 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, 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, 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, 6, 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, 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, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [9, 9, 6, 9, 9, 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, 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, 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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [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, 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, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [9, 9, 9, 9, 6, 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, 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, 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, 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, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9]], "task_key": "e73095fd"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 7, 7, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 7, 3, 3, 7, 7, 3, 3, 3],\n[3, 3, 7, 3, 3, 7, 3, 3, 3, 3, 3],\n[3, 3, 7, 3, 3, 3, 3, 3, 3, 3, 7],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 7, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[3, 3, 3, 3, 3, 3, 7, 7, 3, 3, 3],\n[7, 3, 3, 3, 3, 7, 7, 3, 3, 3, 3],\n[7, 7, 3, 3, 7, 7, 3, 3, 3, 3, 3],\n[7, 7, 7, 7, 7, 3, 3, 3, 3, 3, 7],\n[7, 7, 7, 7, 3, 3, 3, 3, 3, 7, 7],\n[3, 7, 7, 7, 7, 3, 3, 3, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 3, 7, 7, 7, 7],\n[7, 7, 3, 7, 7, 7, 7, 7, 7, 7, 7],\n[3, 7, 7, 3, 7, 7, 7, 7, 7, 7, 3],\n[7, 3, 7, 7, 7, 7, 7, 7, 7, 3, 3],\n[7, 7, 3, 7, 7, 7, 7, 7, 7, 7, 3],\n[3, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[3, 7, 7, 7, 7, 7, 7, 3, 7, 7, 7],\n[7, 7, 7, 7, 7, 3, 7, 7, 3, 7, 7],\n[7, 7, 7, 7, 7, 7, 3, 7, 7, 3, 7],\n[7, 7, 7, 3, 3, 7, 7, 7, 7, 7, 3],\n[7, 7, 3, 3, 3, 3, 7, 7, 3, 7, 7],\n[7, 3, 7, 3, 3, 7, 3, 7, 7, 7, 7],\n[3, 3, 3, 7, 7, 3, 3, 3, 7, 7, 3],\n[3, 3, 3, 7, 7, 3, 3, 7, 3, 7, 7],\n[3, 3, 7, 3, 3, 7, 7, 3, 3, 3, 7],\n[3, 7, 3, 3, 3, 7, 7, 3, 3, 3, 3],\n[7, 3, 3, 3, 7, 3, 3, 7, 3, 3, 3]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6],\n[6, 6, 2, 6, 2],\n[6, 6, 6, 2, 6],\n[2, 6, 6, 6, 6],\n[6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6],\n[6, 2, 6, 6, 6],\n[6, 6, 6, 6, 6],\n[6, 6, 2, 6, 6],\n[6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6],\n[2, 6, 6, 6, 6],\n[6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6],\n[6, 2, 6, 2, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[6, 2, 6, 2, 6],\n[6, 6, 2, 6, 2],\n[6, 2, 6, 2, 6],\n[2, 6, 2, 6, 2],\n[6, 2, 6, 6, 6],\n[2, 6, 2, 6, 6],\n[6, 6, 6, 2, 2],\n[6, 6, 6, 2, 2],\n[2, 6, 2, 6, 6],\n[2, 2, 6, 6, 2],\n[2, 2, 2, 2, 6],\n[6, 6, 2, 2, 6],\n[6, 2, 6, 2, 2],\n[2, 6, 6, 6, 2],\n[6, 6, 6, 2, 6],\n[6, 6, 2, 6, 6],\n[6, 2, 6, 6, 6],\n[2, 6, 6, 6, 2],\n[6, 2, 6, 2, 6],\n[2, 6, 2, 6, 2],\n[6, 2, 6, 2, 6]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[9, 9, 1],\n[9, 1, 9],\n[9, 9, 9],\n[9, 9, 9],\n[9, 9, 9],\n[9, 9, 1],\n[9, 9, 9],\n[9, 9, 9],\n[9, 9, 9],\n[9, 9, 9],\n[9, 9, 9],\n[9, 9, 9],\n[9, 9, 9],\n[9, 9, 9],\n[9, 9, 9],\n[9, 9, 9]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[1, 9, 1],\n[9, 1, 9],\n[1, 9, 1],\n[1, 9, 9],\n[9, 1, 9],\n[9, 9, 1],\n[9, 1, 9],\n[1, 9, 9],\n[9, 9, 9],\n[9, 9, 9],\n[9, 9, 9],\n[9, 9, 9],\n[9, 9, 9],\n[9, 9, 9],\n[9, 9, 9],\n[9, 9, 9]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[6, 6, 6, 6, 6, 9, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 9, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 9, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 9, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 9, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 9, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9],\n[6, 6, 6, 9, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[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, 9, 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, 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, 9, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9], [6, 6, 6, 9, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]], "task_key": "623ea044"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[9, 9, 9, 9, 9, 6, 9, 6, 9, 6, 9, 9, 9, 6, 6, 9],\n[6, 9, 9, 9, 9, 9, 6, 9, 9, 9, 9, 6, 9, 6, 9, 9],\n[9, 9, 9, 6, 9, 6, 6, 9, 6, 6, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 6, 6, 6, 9, 9, 6, 6, 9, 6, 6, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 9, 6, 6],\n[9, 9, 6, 9, 9, 6, 9, 9, 9, 9, 8, 9, 9, 9, 9, 9],\n[9, 9, 9, 6, 6, 9, 6, 9, 9, 8, 9, 8, 8, 9, 6, 9],\n[9, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 8, 9, 6, 9],\n[9, 9, 9, 9, 9, 6, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9],\n[6, 9, 9, 9, 6, 9, 6, 6, 8, 9, 9, 8, 9, 9, 6, 6],\n[9, 6, 9, 9, 9, 9, 9, 9, 9, 8, 8, 9, 9, 6, 6, 9],\n[6, 6, 6, 6, 9, 6, 6, 9, 6, 6, 9, 9, 6, 9, 6, 9],\n[9, 9, 9, 6, 9, 9, 9, 6, 6, 9, 6, 9, 9, 9, 9, 9],\n[6, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 9, 6, 9, 9, 9],\n[9, 6, 9, 9, 9, 9, 9, 6, 9, 9, 6, 6, 9, 6, 6, 6],\n[9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 6, 9],\n[9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[6, 6, 6, 9, 9, 6, 9, 9, 6, 9, 6, 9, 6, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 6, 9, 6, 9, 9, 9, 6, 9, 9],\n[6, 9, 6, 6, 9, 6, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9],\n[9, 9, 6, 6, 9, 9, 6, 9, 6, 9, 9, 6, 6, 6, 9, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[9, 9, 9, 9, 9, 6, 9, 6, 9, 6, 9, 9, 9, 6, 6, 9],\n[6, 9, 9, 9, 9, 9, 6, 9, 9, 9, 9, 6, 9, 6, 9, 9],\n[9, 9, 9, 6, 9, 6, 6, 9, 6, 6, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 6, 6, 6, 9, 9, 6, 6, 9, 6, 6, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 8, 3, 3, 3, 8, 9, 6, 6],\n[9, 9, 6, 9, 9, 6, 9, 9, 3, 3, 8, 3, 3, 9, 9, 9],\n[9, 9, 9, 6, 6, 9, 6, 9, 3, 8, 3, 8, 8, 9, 6, 9],\n[9, 9, 9, 9, 6, 9, 9, 9, 3, 3, 3, 3, 8, 9, 6, 9],\n[9, 9, 9, 9, 9, 6, 9, 9, 8, 8, 3, 3, 3, 9, 9, 9],\n[6, 9, 9, 9, 6, 9, 6, 6, 8, 3, 3, 8, 3, 9, 6, 6],\n[9, 6, 9, 9, 9, 9, 9, 9, 3, 8, 8, 3, 3, 6, 6, 9],\n[6, 6, 6, 6, 9, 6, 6, 9, 6, 6, 9, 9, 6, 9, 6, 9],\n[9, 9, 9, 6, 9, 9, 9, 6, 6, 9, 6, 9, 9, 9, 9, 9],\n[6, 9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 9, 6, 9, 9, 9],\n[9, 6, 9, 9, 9, 9, 9, 6, 9, 9, 6, 6, 9, 6, 6, 6],\n[9, 9, 9, 9, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 6, 9],\n[9, 9, 9, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[6, 6, 6, 9, 9, 6, 9, 9, 6, 9, 6, 9, 6, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 6, 9, 6, 9, 9, 9, 6, 9, 9],\n[6, 9, 6, 6, 9, 6, 9, 9, 9, 6, 9, 9, 9, 9, 9, 9],\n[9, 9, 6, 6, 9, 9, 6, 9, 6, 9, 9, 6, 6, 6, 9, 6]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[5, 2, 5, 2, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 2],\n[5, 2, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 2, 2, 5, 5],\n[5, 5, 2, 5, 5, 5, 2, 5, 2, 5, 5, 2, 5, 5, 5, 2, 2, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5],\n[5, 2, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 2, 5, 5, 2, 5, 2, 5, 2, 5, 5, 5, 2, 5, 5],\n[5, 5, 5, 2, 5, 5, 5, 5, 5, 2, 5, 5, 2, 2, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 5, 2, 5],\n[2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 2, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 2, 2],\n[2, 5, 5, 2, 2, 5, 5, 2, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 2, 5, 5],\n[5, 2, 2, 5, 5, 5, 2, 5, 2, 5, 2, 5, 2, 5, 5, 2, 5, 2, 5, 5, 5, 5, 5, 5, 5, 2, 2],\n[5, 2, 2, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 2, 5, 5, 5, 2, 5, 5, 5],\n[5, 5, 5, 2, 2, 5, 5, 2, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 2, 5, 5, 5, 2],\n[5, 5, 2, 5, 5, 5, 5, 5, 2, 5, 5, 2, 2, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2],\n[5, 2, 5, 2, 5, 5, 2, 5, 5, 2, 5, 5, 5, 5, 5, 2, 5, 2, 2, 2, 5, 5, 2, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 2, 5, 2, 5, 5, 5, 5],\n[5, 5, 5, 2, 5, 2, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 2, 5, 5],\n[2, 2, 5, 5, 2, 5, 5, 5, 2, 5, 2, 5, 5, 2, 5, 2, 2, 5, 5, 5, 5, 5, 2, 5, 2, 5, 5],\n[5, 5, 5, 5, 2, 8, 8, 2, 8, 8, 8, 8, 8, 8, 2, 8, 2, 5, 5, 5, 5, 5, 2, 5, 5, 5, 2],\n[5, 5, 5, 5, 5, 2, 8, 2, 8, 8, 2, 8, 8, 8, 8, 8, 8, 2, 2, 5, 2, 5, 2, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 8, 8, 2, 8, 8, 2, 8, 8, 8, 8, 2, 2, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 2, 5, 8, 8, 8, 2, 2, 8, 8, 2, 8, 2, 8, 8, 2, 5, 2, 5, 2, 5, 5, 5, 5, 5],\n[5, 5, 2, 2, 5, 8, 8, 2, 8, 8, 8, 8, 8, 2, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 8, 8, 8, 2, 2, 8, 8, 2, 8, 2, 2, 2, 5, 2, 5, 2, 2, 5, 2, 5, 2, 5],\n[5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 2, 5, 2, 5, 5, 5, 5, 5, 5, 2, 5, 5, 2, 5, 5, 5, 5],\n[2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 2]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[5, 2, 5, 2, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 2],\n[5, 2, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 2, 2, 5, 5],\n[5, 5, 2, 5, 5, 5, 2, 5, 2, 5, 5, 2, 5, 5, 5, 2, 2, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5],\n[5, 2, 5, 5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 2, 5, 5, 2, 5, 2, 5, 2, 5, 5, 5, 2, 5, 5],\n[5, 5, 5, 2, 5, 5, 5, 5, 5, 2, 5, 5, 2, 2, 5, 5, 5, 2, 2, 5, 5, 5, 5, 5, 5, 2, 5],\n[2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 2, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 2, 2],\n[2, 5, 5, 2, 2, 5, 5, 2, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 2, 5, 5],\n[5, 2, 2, 5, 5, 5, 2, 5, 2, 5, 2, 5, 2, 5, 5, 2, 5, 2, 5, 5, 5, 5, 5, 5, 5, 2, 2],\n[5, 2, 2, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 2, 5, 5, 5, 2, 5, 5, 5],\n[5, 5, 5, 2, 2, 5, 5, 2, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 2, 5, 5, 5, 2],\n[5, 5, 2, 5, 5, 5, 5, 5, 2, 5, 5, 2, 2, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2],\n[5, 2, 5, 2, 5, 5, 2, 5, 5, 2, 5, 5, 5, 5, 5, 2, 5, 2, 2, 2, 5, 5, 2, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 2, 5, 2, 5, 5, 5, 5],\n[5, 5, 5, 2, 5, 2, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 2, 5, 5],\n[2, 2, 5, 5, 2, 5, 5, 5, 2, 5, 2, 5, 5, 2, 5, 2, 2, 5, 5, 5, 5, 5, 2, 5, 2, 5, 5],\n[5, 5, 5, 5, 2, 8, 8, 3, 8, 8, 8, 8, 8, 8, 3, 8, 3, 5, 5, 5, 5, 5, 2, 5, 5, 5, 2],\n[5, 5, 5, 5, 5, 3, 8, 3, 8, 8, 3, 8, 8, 8, 8, 8, 8, 2, 2, 5, 2, 5, 2, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 8, 8, 3, 8, 8, 3, 8, 8, 8, 8, 3, 3, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 2, 5, 8, 8, 8, 3, 3, 8, 8, 3, 8, 3, 8, 8, 2, 5, 2, 5, 2, 5, 5, 5, 5, 5],\n[5, 5, 2, 2, 5, 8, 8, 3, 8, 8, 8, 8, 8, 3, 8, 8, 8, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 8, 8, 8, 3, 3, 8, 8, 3, 8, 3, 3, 3, 5, 2, 5, 2, 2, 5, 2, 5, 2, 5],\n[5, 5, 5, 5, 5, 2, 2, 5, 5, 5, 2, 5, 2, 5, 5, 5, 5, 5, 5, 2, 5, 5, 2, 5, 5, 5, 5],\n[2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 2]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0],\n[7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0],\n[7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0],\n[0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0],\n[0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0],\n[7, 7, 7, 0, 7, 0, 7, 8, 7, 8, 7, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7],\n[7, 0, 0, 7, 7, 7, 7, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0],\n[0, 0, 7, 7, 7, 0, 8, 8, 8, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7],\n[7, 0, 0, 7, 0, 7, 8, 7, 7, 7, 8, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7],\n[7, 7, 7, 7, 7, 0, 7, 8, 7, 8, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0],\n[7, 0, 7, 7, 7, 7, 7, 8, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7],\n[7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7],\n[7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7],\n[7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7],\n[0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0],\n[0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0],\n[0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0],\n[7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0],\n[7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0],\n[7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7],\n[0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7],\n[7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0],\n[7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0],\n[7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7],\n[7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7],\n[7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 0, 7, 0],\n[7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0],\n[7, 0, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 0, 0],\n[0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 0, 0, 0],\n[0, 7, 0, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0],\n[7, 7, 7, 0, 7, 0, 3, 8, 3, 8, 3, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 7, 7, 0, 0, 7],\n[7, 0, 0, 7, 7, 7, 3, 8, 8, 3, 3, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0],\n[0, 0, 7, 7, 7, 0, 8, 8, 8, 3, 3, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 7],\n[7, 0, 0, 7, 0, 7, 8, 3, 3, 3, 8, 0, 7, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 7],\n[7, 7, 7, 7, 7, 0, 3, 8, 3, 8, 3, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0],\n[7, 0, 7, 7, 7, 7, 3, 8, 3, 3, 3, 7, 0, 7, 7, 0, 7, 7, 0, 7, 0, 0, 7, 7, 0, 7],\n[7, 0, 7, 0, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7],\n[7, 7, 7, 7, 0, 7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0, 7],\n[7, 7, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7],\n[0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 7, 7, 7, 7, 0],\n[0, 7, 0, 7, 7, 0, 0, 7, 0, 7, 0, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 7, 7, 0, 0, 0],\n[0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 0, 7, 7, 0, 7, 0],\n[7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 7, 7, 0],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 0, 0, 7, 0, 0, 7, 0, 0, 7, 7, 7, 7, 0, 7, 0, 7, 0],\n[7, 7, 7, 0, 7, 0, 0, 7, 7, 7, 0, 0, 0, 0, 7, 0, 7, 7, 0, 0, 7, 7, 0, 0, 0, 0],\n[7, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7, 0, 7, 7, 7, 7, 0, 0, 7, 7, 0, 7, 0, 7],\n[0, 0, 7, 7, 7, 0, 0, 0, 7, 0, 7, 0, 0, 7, 7, 7, 7, 7, 0, 7, 0, 7, 0, 0, 7, 7],\n[7, 0, 0, 7, 7, 7, 0, 0, 0, 7, 7, 0, 7, 7, 7, 0, 0, 7, 0, 7, 7, 7, 0, 7, 0, 0],\n[7, 7, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 0, 7, 7, 0, 7, 0, 7, 0, 7, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7, 7, 0, 0, 0],\n[7, 7, 7, 0, 7, 0, 7, 7, 0, 0, 7, 0, 0, 7, 7, 0, 0, 0, 0, 7, 7, 0, 7, 0, 0, 7],\n[7, 0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 7, 7, 0, 0, 7, 7, 7, 7, 0, 7, 7, 7, 0, 7, 7],\n[7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 0, 7, 0, 7, 7, 7, 0, 0, 7, 7, 7, 0, 7, 7]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1],\n[1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1],\n[2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1],\n[1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1],\n[2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1],\n[1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1],\n[2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2],\n[1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2],\n[1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2],\n[1, 1, 2, 1, 1, 1, 1, 7, 7, 7, 7, 2, 2, 1, 2, 1],\n[2, 2, 1, 2, 1, 1, 2, 7, 7, 7, 7, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 2, 2, 1, 7, 2, 7, 7, 1, 1, 1, 1, 1],\n[1, 1, 1, 2, 2, 1, 1, 7, 7, 2, 2, 1, 2, 1, 2, 1],\n[1, 1, 1, 1, 2, 1, 1, 2, 7, 7, 2, 2, 1, 1, 1, 2],\n[1, 1, 2, 1, 1, 1, 2, 2, 7, 7, 7, 1, 2, 1, 2, 1],\n[1, 1, 1, 1, 1, 1, 2, 7, 7, 7, 7, 1, 1, 1, 1, 2],\n[2, 1, 1, 2, 1, 2, 1, 7, 2, 2, 7, 2, 1, 1, 1, 2],\n[1, 1, 1, 1, 1, 1, 1, 7, 2, 7, 7, 1, 2, 1, 1, 2],\n[2, 1, 1, 2, 1, 1, 1, 2, 7, 7, 7, 2, 1, 1, 1, 1],\n[2, 1, 1, 1, 1, 2, 1, 2, 7, 2, 7, 1, 1, 2, 1, 1],\n[2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1],\n[1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1], [1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1], [2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1], [1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1], [2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1], [1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1], [2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2], [1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2], [1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2], [1, 1, 2, 1, 1, 1, 1, 7, 7, 7, 7, 2, 2, 1, 2, 1], [2, 2, 1, 2, 1, 1, 2, 7, 7, 7, 7, 1, 1, 1, 1, 1], [1, 1, 1, 1, 2, 2, 1, 7, 2, 7, 7, 1, 1, 1, 1, 1], [1, 1, 1, 2, 2, 1, 1, 7, 7, 2, 2, 1, 2, 1, 2, 1], [1, 1, 1, 1, 2, 1, 1, 2, 7, 7, 2, 2, 1, 1, 1, 2], [1, 1, 2, 1, 1, 1, 2, 2, 7, 7, 7, 1, 2, 1, 2, 1], [1, 1, 1, 1, 1, 1, 2, 7, 7, 7, 7, 1, 1, 1, 1, 2], [2, 1, 1, 2, 1, 2, 1, 7, 2, 2, 7, 2, 1, 1, 1, 2], [1, 1, 1, 1, 1, 1, 1, 7, 2, 7, 7, 1, 2, 1, 1, 2], [2, 1, 1, 2, 1, 1, 1, 2, 7, 7, 7, 2, 1, 1, 1, 1], [2, 1, 1, 1, 1, 2, 1, 2, 7, 2, 7, 1, 1, 2, 1, 1], [2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1], [1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1]], "task_key": "32597951"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 7, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2],\n[2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2],\n[2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2],\n[2, 2, 2, 7, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 7, 2],\n[2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2],\n[2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2],\n[2, 2, 2, 2, 1, 2, 1, 2, 7, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2],\n[2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2],\n[2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2],\n[2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2],\n[2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2],\n[2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2],\n[2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 7, 2, 1, 2, 2],\n[2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2],\n[2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2],\n[2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2],\n[2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2],\n[2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2],\n[2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2],\n[2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2],\n[2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2],\n[2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 7, 2, 2, 2, 1, 2, 2, 1, 2, 2],\n[2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 7, 1, 2, 2, 1, 2, 2],\n[2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2],\n[2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2],\n[2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2],\n[2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 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],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 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],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 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],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 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],\n[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],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 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],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[3, 3, 3, 3, 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[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[3, 3, 3, 3, 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[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[3, 3, 3, 3, 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[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[3, 3, 3, 3, 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[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],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[3, 3, 3, 3, 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[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 0, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6],\n[6, 0, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 0, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 0, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 3, 6, 6, 6, 6, 6, 6]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7],\n[0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "task_key": "d9f24cd1"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[7, 8, 6, 4, 8, 0, 8, 8, 8, 6, 8, 8, 8, 8, 0, 8, 6, 7],\n[8, 7, 0, 6, 4, 4, 8, 0, 8, 7, 6, 0, 6, 4, 7, 8, 0, 4],\n[8, 8, 0, 6, 8, 7, 8, 4, 8, 8, 7, 8, 7, 7, 6, 7, 8, 4],\n[0, 8, 8, 8, 8, 0, 0, 8, 8, 6, 6, 7, 7, 8, 8, 8, 8, 8],\n[8, 8, 6, 8, 8, 8, 6, 0, 8, 7, 8, 8, 8, 0, 8, 8, 0, 8],\n[8, 8, 0, 7, 6, 8, 6, 8, 0, 8, 8, 8, 8, 6, 0, 8, 8, 8],\n[0, 7, 4, 8, 8, 8, 8, 7, 6, 6, 0, 6, 8, 0, 7, 7, 0, 0],\n[6, 8, 8, 8, 8, 7, 8, 0, 8, 8, 0, 7, 7, 0, 0, 6, 4, 7]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[7, 8, 6, 4, 8, 0, 8, 8, 8, 6, 8, 8, 8, 8, 0, 8, 6, 7],\n[8, 7, 0, 6, 4, 4, 8, 0, 8, 7, 6, 0, 6, 4, 7, 8, 0, 4],\n[8, 8, 0, 6, 8, 7, 8, 4, 8, 8, 7, 8, 7, 7, 6, 7, 8, 4],\n[0, 8, 8, 8, 8, 0, 0, 8, 8, 6, 6, 7, 7, 8, 8, 8, 8, 8],\n[8, 8, 6, 8, 8, 8, 6, 0, 8, 7, 8, 8, 8, 0, 8, 8, 0, 8],\n[8, 8, 0, 7, 6, 8, 6, 8, 0, 8, 8, 8, 8, 6, 0, 8, 8, 8],\n[0, 7, 4, 8, 8, 8, 8, 7, 6, 6, 0, 6, 8, 0, 7, 7, 0, 0],\n[6, 8, 8, 8, 8, 7, 8, 0, 8, 8, 0, 7, 7, 0, 0, 6, 4, 7],\n[6, 8, 8, 8, 8, 7, 8, 0, 8, 8, 0, 7, 7, 0, 0, 6, 4, 7],\n[0, 7, 4, 8, 8, 8, 8, 7, 6, 6, 0, 6, 8, 0, 7, 7, 0, 0],\n[8, 8, 0, 7, 6, 8, 6, 8, 0, 8, 8, 8, 8, 6, 0, 8, 8, 8],\n[8, 8, 6, 8, 8, 8, 6, 0, 8, 7, 8, 8, 8, 0, 8, 8, 0, 8],\n[0, 8, 8, 8, 8, 0, 0, 8, 8, 6, 6, 7, 7, 8, 8, 8, 8, 8],\n[8, 8, 0, 6, 8, 7, 8, 4, 8, 8, 7, 8, 7, 7, 6, 7, 8, 4],\n[8, 7, 0, 6, 4, 4, 8, 0, 8, 7, 6, 0, 6, 4, 7, 8, 0, 4],\n[7, 8, 6, 4, 8, 0, 8, 8, 8, 6, 8, 8, 8, 8, 0, 8, 6, 7]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[8, 1, 8, 8, 1, 8, 8, 9, 9, 1, 9, 9, 8, 8, 8, 9, 8, 5, 1, 9, 9, 8, 8, 8, 8, 1, 8, 9, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 9, 9, 9, 8, 8, 8, 8, 9, 8, 5, 1, 8]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[8, 1, 8, 8, 1, 8, 8, 9, 9, 1, 9, 9, 8, 8, 8, 9, 8, 5, 1, 9, 9, 8, 8, 8, 8, 1, 8, 9, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 9, 9, 9, 8, 8, 8, 8, 9, 8, 5, 1, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 1, 8, 8, 8, 8, 8, 9, 9, 9, 8, 8, 8, 8, 9, 8, 5, 1, 8],\n[8, 1, 8, 8, 1, 8, 8, 9, 9, 1, 9, 9, 8, 8, 8, 9, 8, 5, 1, 9, 9, 8, 8, 8, 8, 1, 8, 9, 8]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[1, 2, 1, 1, 1, 3, 1, 1, 1, 1, 1, 8, 1, 1, 3, 1, 1, 2, 2, 3, 5, 2, 1, 1, 1, 2, 1, 1, 5],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2],\n[1, 3, 1, 1, 8, 1, 4, 1, 3, 1, 1, 3, 5, 2, 1, 1, 1, 2, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 4],\n[1, 3, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 5, 5, 1, 4, 1, 3, 1, 3, 1, 1, 1, 2, 5, 1],\n[1, 1, 2, 5, 1, 1, 5, 2, 1, 1, 1, 1, 1, 5, 1, 1, 1, 5, 1, 1, 2, 1, 2, 3, 2, 5, 1, 1, 3]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[1, 2, 1, 1, 1, 3, 1, 1, 1, 1, 1, 8, 1, 1, 3, 1, 1, 2, 2, 3, 5, 2, 1, 1, 1, 2, 1, 1, 5],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2],\n[1, 3, 1, 1, 8, 1, 4, 1, 3, 1, 1, 3, 5, 2, 1, 1, 1, 2, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 4],\n[1, 3, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 5, 5, 1, 4, 1, 3, 1, 3, 1, 1, 1, 2, 5, 1],\n[1, 1, 2, 5, 1, 1, 5, 2, 1, 1, 1, 1, 1, 5, 1, 1, 1, 5, 1, 1, 2, 1, 2, 3, 2, 5, 1, 1, 3],\n[1, 1, 2, 5, 1, 1, 5, 2, 1, 1, 1, 1, 1, 5, 1, 1, 1, 5, 1, 1, 2, 1, 2, 3, 2, 5, 1, 1, 3],\n[1, 3, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 5, 5, 1, 4, 1, 3, 1, 3, 1, 1, 1, 2, 5, 1],\n[1, 3, 1, 1, 8, 1, 4, 1, 3, 1, 1, 3, 5, 2, 1, 1, 1, 2, 1, 1, 1, 2, 5, 1, 1, 1, 1, 1, 4],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 5, 1, 1, 1, 3, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2],\n[1, 2, 1, 1, 1, 3, 1, 1, 1, 1, 1, 8, 1, 1, 3, 1, 1, 2, 2, 3, 5, 2, 1, 1, 1, 2, 1, 1, 5]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[2, 9, 2, 2, 2, 6, 2, 9, 0, 5, 2, 2, 2, 2],\n[2, 2, 2, 9, 6, 2, 9, 2, 6, 2, 4, 2, 0, 0],\n[2, 0, 2, 6, 5, 2, 2, 0, 0, 2, 4, 5, 4, 2],\n[2, 2, 2, 5, 2, 2, 2, 9, 2, 5, 4, 2, 9, 4],\n[2, 2, 2, 6, 4, 2, 2, 2, 2, 2, 0, 2, 2, 0],\n[2, 5, 2, 4, 2, 5, 2, 2, 0, 5, 2, 2, 2, 2],\n[2, 2, 0, 2, 2, 0, 0, 2, 8, 2, 2, 6, 9, 4],\n[2, 6, 4, 5, 2, 0, 2, 0, 2, 4, 0, 2, 0, 4],\n[2, 2, 0, 2, 2, 4, 0, 9, 5, 5, 2, 2, 2, 0],\n[2, 2, 6, 2, 6, 2, 2, 0, 5, 8, 2, 2, 6, 2],\n[2, 4, 4, 2, 0, 6, 4, 5, 0, 0, 2, 2, 2, 2],\n[2, 0, 0, 2, 2, 5, 2, 2, 2, 2, 8, 2, 2, 2],\n[0, 2, 0, 0, 2, 2, 2, 8, 5, 4, 2, 2, 2, 4],\n[2, 0, 2, 2, 6, 2, 0, 4, 9, 2, 2, 2, 2, 2]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[2, 9, 2, 2, 2, 6, 2, 9, 0, 5, 2, 2, 2, 2], [2, 2, 2, 9, 6, 2, 9, 2, 6, 2, 4, 2, 0, 0], [2, 0, 2, 6, 5, 2, 2, 0, 0, 2, 4, 5, 4, 2], [2, 2, 2, 5, 2, 2, 2, 9, 2, 5, 4, 2, 9, 4], [2, 2, 2, 6, 4, 2, 2, 2, 2, 2, 0, 2, 2, 0], [2, 5, 2, 4, 2, 5, 2, 2, 0, 5, 2, 2, 2, 2], [2, 2, 0, 2, 2, 0, 0, 2, 8, 2, 2, 6, 9, 4], [2, 6, 4, 5, 2, 0, 2, 0, 2, 4, 0, 2, 0, 4], [2, 2, 0, 2, 2, 4, 0, 9, 5, 5, 2, 2, 2, 0], [2, 2, 6, 2, 6, 2, 2, 0, 5, 8, 2, 2, 6, 2], [2, 4, 4, 2, 0, 6, 4, 5, 0, 0, 2, 2, 2, 2], [2, 0, 0, 2, 2, 5, 2, 2, 2, 2, 8, 2, 2, 2], [0, 2, 0, 0, 2, 2, 2, 8, 5, 4, 2, 2, 2, 4], [2, 0, 2, 2, 6, 2, 0, 4, 9, 2, 2, 2, 2, 2]], "task_key": "6fa7a44f"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4],\n[6, 6, 4, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2],\n[6, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 4, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 2, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 4, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4],\n[6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4],\n[6, 6, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4],\n[6, 6, 4, 4, 6, 6, 4, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 4],\n[6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 6, 6, 4, 4, 4, 4, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 4, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[3, 3, 1, 1, 1, 1, 2, 3, 1, 1],\n[2, 2, 1, 1, 1, 1, 3, 2, 1, 1]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[3, 3, 1, 1, 1, 1, 1, 1, 1, 1],\n[3, 3, 3, 1, 1, 1, 1, 1, 1, 1],\n[1, 3, 3, 3, 1, 1, 1, 1, 1, 1],\n[1, 1, 3, 3, 3, 1, 1, 1, 1, 1],\n[1, 1, 1, 3, 3, 3, 1, 1, 1, 1],\n[1, 1, 1, 1, 3, 3, 3, 1, 1, 1],\n[3, 3, 1, 1, 1, 3, 3, 3, 1, 1],\n[3, 3, 3, 1, 1, 1, 3, 3, 3, 1]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 2, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 2, 1, 7, 7, 7, 7, 7],\n[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],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[7, 7, 7, 7, 7, 1, 1, 1, 7, 7, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 1, 1, 1, 7, 1, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 7, 7, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 7, 7, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 1, 1, 1, 7, 1, 1, 1, 7, 7, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 1, 1, 1, 7, 7, 7, 1, 1, 1, 7, 7, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 1, 1, 1, 7, 7, 7, 7, 7, 1, 1, 1, 7, 7, 1, 1, 1, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 7, 7, 1, 1, 1, 7, 7, 7, 7, 7],\n[7, 7, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 7, 7, 1, 1, 1, 7, 7, 7, 7],\n[7, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 7, 7, 1, 1, 1, 7, 7, 7],\n[1, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 7, 7, 1, 1, 1, 7, 7],\n[1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 7, 7, 1, 1, 1, 7],\n[1, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 7, 7, 1, 1, 1],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 7, 7, 1, 1],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 1, 1, 1, 7, 7, 1],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 7, 7, 1, 1, 1, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 7, 7, 7, 7, 1, 1, 1, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 7, 7, 7, 7, 7, 7, 1, 1, 1],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1, 1, 7, 7, 7, 7, 7, 7, 7, 7, 1, 1]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0],\n[0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0], [0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0], [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]], "task_key": "1f0c79e5"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[9, 6, 9, 6, 9, 9, 6, 5, 6, 5, 6, 6, 6, 6, 5, 5],\n[9, 9, 6, 6, 6, 6, 6, 5, 6, 6, 6, 6, 6, 6, 5, 5],\n[9, 9, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5],\n[9, 9, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5],\n[9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5],\n[9, 9, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5],\n[9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5],\n[9, 9, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5],\n[9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5],\n[9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5],\n[9, 9, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5],\n[9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5],\n[9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5],\n[9, 6, 6, 6, 6, 9, 6, 9, 6, 9, 6, 6, 6, 6, 5, 5],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[9, 6, 9, 3, 9, 9, 3, 5, 3, 5, 3, 3, 3, 3, 5, 5],\n[9, 9, 6, 3, 6, 6, 3, 5, 3, 6, 3, 3, 3, 3, 5, 5],\n[9, 9, 9, 3, 6, 6, 3, 6, 3, 6, 3, 3, 3, 3, 6, 5],\n[9, 9, 9, 3, 6, 6, 3, 6, 3, 6, 3, 3, 3, 3, 6, 5],\n[9, 6, 6, 3, 6, 6, 3, 6, 3, 6, 3, 3, 3, 3, 5, 5],\n[9, 9, 9, 3, 6, 6, 3, 6, 3, 6, 3, 3, 3, 3, 5, 5],\n[9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5],\n[9, 9, 9, 3, 6, 6, 3, 6, 3, 6, 3, 3, 3, 3, 5, 5],\n[9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5],\n[9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5],\n[9, 9, 9, 3, 6, 6, 3, 6, 3, 6, 3, 3, 3, 3, 6, 5],\n[9, 6, 6, 3, 6, 6, 3, 6, 3, 6, 3, 3, 3, 3, 5, 5],\n[9, 6, 6, 3, 6, 6, 3, 6, 3, 6, 3, 3, 3, 3, 5, 5],\n[9, 6, 6, 3, 6, 9, 3, 9, 3, 9, 3, 3, 3, 3, 5, 5],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 5, 5, 5]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8],\n[4, 0, 0, 4, 0, 0, 0, 4, 0, 4, 4, 4, 4, 0, 4, 4, 4, 0, 4, 0, 0, 0, 0, 8],\n[4, 4, 4, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 8, 8],\n[4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8],\n[4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8],\n[4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8],\n[4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8],\n[4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8],\n[4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8],\n[4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8],\n[4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8],\n[4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8],\n[4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8],\n[4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8],\n[4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8],\n[4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8],\n[4, 0, 0, 0, 0, 4, 0, 8, 0, 0, 8, 8, 0, 0, 8, 8, 0, 0, 8, 8, 8, 0, 8, 8],\n[4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8],\n[4, 0, 0, 4, 3, 0, 3, 4, 3, 4, 4, 4, 4, 3, 4, 4, 4, 3, 4, 0, 0, 3, 0, 8],\n[4, 4, 4, 0, 3, 0, 3, 0, 3, 4, 4, 0, 0, 3, 0, 4, 0, 3, 0, 0, 0, 3, 8, 8],\n[4, 0, 0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 8, 8],\n[4, 0, 0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 8, 8],\n[4, 4, 4, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 8, 8],\n[4, 0, 0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 8, 8],\n[4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8],\n[4, 4, 4, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 8],\n[4, 4, 0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 0, 8],\n[4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8],\n[4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8],\n[4, 0, 0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 8, 8],\n[4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8],\n[4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8],\n[4, 0, 0, 0, 3, 0, 3, 0, 3, 0, 0, 0, 0, 3, 0, 0, 0, 3, 0, 0, 0, 3, 8, 8],\n[4, 0, 0, 0, 3, 4, 3, 8, 3, 0, 8, 8, 0, 3, 8, 8, 0, 3, 8, 8, 8, 3, 8, 8],\n[4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 4, 4, 4, 7, 4, 4, 7, 7, 4, 4, 8],\n[7, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 8],\n[7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 8, 8],\n[7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8],\n[7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8],\n[7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8],\n[7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8],\n[7, 7, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8],\n[7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 8],\n[7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 8],\n[7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8],\n[7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 8],\n[7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8],\n[7, 7, 4, 4, 4, 8, 4, 8, 4, 4, 8, 8],\n[7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 4, 4, 4, 7, 4, 3, 7, 7, 4, 4, 8],\n[7, 4, 4, 4, 4, 4, 3, 7, 4, 4, 4, 8],\n[7, 7, 7, 4, 4, 4, 3, 4, 4, 4, 8, 8],\n[7, 4, 4, 4, 4, 4, 3, 4, 4, 4, 8, 8],\n[7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8],\n[7, 7, 4, 4, 4, 4, 3, 4, 4, 4, 8, 8],\n[7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8],\n[7, 7, 4, 4, 4, 4, 3, 4, 4, 8, 8, 8],\n[7, 7, 7, 7, 4, 4, 3, 4, 4, 4, 4, 8],\n[7, 7, 7, 4, 4, 4, 3, 4, 4, 4, 4, 8],\n[7, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 8],\n[7, 7, 7, 7, 4, 4, 3, 4, 4, 4, 4, 8],\n[7, 7, 4, 4, 4, 4, 3, 4, 4, 4, 8, 8],\n[7, 7, 4, 4, 4, 8, 3, 8, 4, 4, 8, 8],\n[7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 9, 1, 1, 1, 9, 9, 9, 1, 1, 9, 1, 1, 9, 1],\n[1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1],\n[1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1],\n[1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1],\n[1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1],\n[1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1],\n[1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4],\n[1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4],\n[1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4],\n[1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4],\n[1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4],\n[4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4],\n[4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4],\n[4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4],\n[4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4],\n[4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 9, 1, 1, 1, 9, 9, 9, 1, 1, 9, 1, 1, 9, 1], [1, 1, 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, 1], [1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 1], [1, 1, 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, 1], [1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4], [1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4], [1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4], [1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4], [1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4], [4, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 4], [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "task_key": "2bee17df"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 1, 1, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 6, 2, 2, 2, 3, 2, 1, 8, 8, 1, 2, 3, 2, 2, 2, 6, 2, 2, 2, 2],\n[2, 2, 2, 3, 2, 5, 6, 5, 9, 8, 6, 6, 6, 6, 8, 9, 5, 6, 5, 2, 3, 2, 2, 2],\n[2, 2, 6, 2, 7, 2, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 2, 7, 2, 6, 2, 2],\n[2, 2, 2, 5, 2, 7, 3, 5, 3, 2, 1, 7, 7, 1, 2, 3, 5, 3, 7, 2, 5, 2, 2, 2],\n[2, 2, 2, 6, 6, 3, 2, 9, 2, 3, 5, 3, 3, 5, 3, 2, 9, 2, 3, 6, 6, 2, 2, 2],\n[2, 2, 2, 5, 7, 5, 9, 8, 5, 2, 5, 5, 5, 5, 2, 5, 8, 9, 5, 7, 5, 2, 2, 2],\n[2, 2, 3, 9, 7, 3, 2, 5, 2, 5, 2, 8, 8, 2, 5, 2, 5, 2, 3, 7, 9, 3, 2, 2],\n[5, 2, 2, 8, 7, 2, 3, 2, 5, 7, 9, 5, 5, 9, 7, 5, 2, 3, 2, 7, 8, 2, 2, 5],\n[5, 4, 4, 6, 7, 1, 5, 5, 2, 9, 2, 2, 2, 2, 9, 2, 5, 5, 1, 7, 6, 1, 2, 5],\n[1, 4, 4, 6, 7, 7, 3, 5, 8, 5, 2, 2, 2, 2, 5, 8, 5, 3, 7, 7, 6, 8, 6, 1],\n[1, 6, 8, 6, 7, 7, 3, 4, 4, 5, 2, 2, 2, 2, 5, 8, 5, 3, 7, 7, 6, 8, 6, 1],\n[5, 2, 1, 6, 7, 1, 5, 4, 4, 9, 2, 2, 2, 2, 9, 2, 5, 5, 1, 7, 6, 1, 2, 5],\n[5, 2, 2, 8, 7, 2, 3, 4, 4, 7, 9, 5, 5, 9, 7, 5, 2, 3, 2, 7, 8, 2, 2, 5],\n[2, 2, 3, 9, 7, 3, 2, 4, 4, 5, 2, 8, 8, 2, 5, 2, 5, 2, 3, 7, 9, 3, 2, 2],\n[2, 2, 2, 5, 7, 5, 9, 4, 4, 2, 5, 5, 5, 5, 2, 5, 8, 9, 5, 7, 5, 2, 2, 2],\n[2, 2, 2, 6, 6, 3, 2, 4, 4, 3, 5, 3, 3, 5, 3, 2, 9, 2, 3, 6, 6, 2, 2, 2],\n[2, 2, 2, 5, 2, 7, 3, 5, 3, 2, 1, 7, 7, 1, 2, 3, 5, 3, 7, 2, 5, 2, 2, 2],\n[2, 2, 6, 2, 7, 2, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 2, 7, 2, 6, 2, 2],\n[2, 2, 2, 3, 2, 5, 6, 5, 9, 8, 6, 6, 6, 6, 8, 9, 5, 6, 5, 2, 3, 2, 2, 2],\n[2, 2, 2, 2, 6, 2, 2, 2, 3, 2, 1, 8, 8, 1, 2, 3, 2, 2, 2, 6, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 1, 1, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 1, 1, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 6, 2, 2, 2, 3, 2, 1, 8, 8, 1, 2, 3, 2, 2, 2, 6, 2, 2, 2, 2],\n[2, 2, 2, 3, 2, 5, 6, 5, 9, 8, 6, 6, 6, 6, 8, 9, 5, 6, 5, 2, 3, 2, 2, 2],\n[2, 2, 6, 2, 7, 2, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 2, 7, 2, 6, 2, 2],\n[2, 2, 2, 5, 2, 7, 3, 5, 3, 2, 1, 7, 7, 1, 2, 3, 5, 3, 7, 2, 5, 2, 2, 2],\n[2, 2, 2, 6, 6, 3, 2, 9, 2, 3, 5, 3, 3, 5, 3, 2, 9, 2, 3, 6, 6, 2, 2, 2],\n[2, 2, 2, 5, 7, 5, 9, 8, 5, 2, 5, 5, 5, 5, 2, 5, 8, 9, 5, 7, 5, 2, 2, 2],\n[2, 2, 3, 9, 7, 3, 2, 5, 2, 5, 2, 8, 8, 2, 5, 2, 5, 2, 3, 7, 9, 3, 2, 2],\n[5, 2, 2, 8, 7, 2, 3, 2, 5, 7, 9, 5, 5, 9, 7, 5, 2, 3, 2, 7, 8, 2, 2, 5],\n[5, 2, 1, 6, 7, 1, 5, 5, 2, 9, 2, 2, 2, 2, 9, 2, 5, 5, 1, 7, 6, 1, 2, 5],\n[1, 6, 8, 6, 7, 7, 3, 5, 8, 5, 2, 2, 2, 2, 5, 8, 5, 3, 7, 7, 6, 8, 6, 1],\n[1, 6, 8, 6, 7, 7, 3, 5, 8, 5, 2, 2, 2, 2, 5, 8, 5, 3, 7, 7, 6, 8, 6, 1],\n[5, 2, 1, 6, 7, 1, 5, 5, 2, 9, 2, 2, 2, 2, 9, 2, 5, 5, 1, 7, 6, 1, 2, 5],\n[5, 2, 2, 8, 7, 2, 3, 2, 5, 7, 9, 5, 5, 9, 7, 5, 2, 3, 2, 7, 8, 2, 2, 5],\n[2, 2, 3, 9, 7, 3, 2, 5, 2, 5, 2, 8, 8, 2, 5, 2, 5, 2, 3, 7, 9, 3, 2, 2],\n[2, 2, 2, 5, 7, 5, 9, 8, 5, 2, 5, 5, 5, 5, 2, 5, 8, 9, 5, 7, 5, 2, 2, 2],\n[2, 2, 2, 6, 6, 3, 2, 9, 2, 3, 5, 3, 3, 5, 3, 2, 9, 2, 3, 6, 6, 2, 2, 2],\n[2, 2, 2, 5, 2, 7, 3, 5, 3, 2, 1, 7, 7, 1, 2, 3, 5, 3, 7, 2, 5, 2, 2, 2],\n[2, 2, 6, 2, 7, 2, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 2, 7, 2, 6, 2, 2],\n[2, 2, 2, 3, 2, 5, 6, 5, 9, 8, 6, 6, 6, 6, 8, 9, 5, 6, 5, 2, 3, 2, 2, 2],\n[2, 2, 2, 2, 6, 2, 2, 2, 3, 2, 1, 8, 8, 1, 2, 3, 2, 2, 2, 6, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 1, 1, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[4, 4, 3, 1, 1, 3, 0, 8],\n[4, 4, 0, 2, 2, 0, 1, 0],\n[4, 4, 3, 8, 8, 3, 0, 3],\n[4, 4, 8, 8, 4, 4, 2, 1],\n[1, 2, 8, 8, 8, 8, 2, 1],\n[3, 0, 3, 8, 8, 3, 0, 3],\n[0, 1, 0, 2, 2, 0, 1, 0],\n[8, 0, 3, 1, 1, 3, 0, 8]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[8, 0, 3, 1, 1, 3, 0, 8],\n[0, 1, 0, 2, 2, 0, 1, 0],\n[3, 0, 3, 8, 8, 3, 0, 3],\n[1, 2, 8, 8, 8, 8, 2, 1],\n[1, 2, 8, 8, 8, 8, 2, 1],\n[3, 0, 3, 8, 8, 3, 0, 3],\n[0, 1, 0, 2, 2, 0, 1, 0],\n[8, 0, 3, 1, 1, 3, 0, 8]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0],\n[0, 0, 0, 0, 5, 3, 3, 5, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0],\n[5, 0, 0, 0, 3, 5, 5, 3, 0, 4, 4, 5],\n[0, 5, 0, 3, 5, 5, 5, 5, 3, 0, 5, 0],\n[0, 3, 3, 5, 5, 0, 0, 5, 5, 3, 3, 0],\n[0, 3, 3, 5, 5, 0, 0, 5, 5, 3, 3, 0],\n[0, 5, 0, 3, 4, 4, 4, 4, 4, 4, 5, 0],\n[5, 0, 0, 0, 4, 4, 4, 4, 4, 4, 0, 5],\n[0, 0, 0, 0, 4, 4, 4, 4, 4, 4, 0, 0],\n[0, 0, 0, 0, 5, 3, 3, 5, 0, 0, 0, 0],\n[0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0],\n[0, 0, 0, 0, 5, 3, 3, 5, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0],\n[5, 0, 0, 0, 3, 5, 5, 3, 0, 0, 0, 5],\n[0, 5, 0, 3, 5, 5, 5, 5, 3, 0, 5, 0],\n[0, 3, 3, 5, 5, 0, 0, 5, 5, 3, 3, 0],\n[0, 3, 3, 5, 5, 0, 0, 5, 5, 3, 3, 0],\n[0, 5, 0, 3, 5, 5, 5, 5, 3, 0, 5, 0],\n[5, 0, 0, 0, 3, 5, 5, 3, 0, 0, 0, 5],\n[0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 5, 3, 3, 5, 0, 0, 0, 0],\n[0, 0, 0, 5, 0, 0, 0, 0, 5, 0, 0, 0]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[6, 8, 1, 8, 1, 1, 2, 2, 1, 1, 8, 1, 8, 6],\n[8, 2, 1, 2, 1, 8, 1, 1, 8, 1, 2, 1, 2, 8],\n[1, 1, 0, 1, 1, 6, 6, 6, 6, 1, 1, 0, 1, 1],\n[8, 2, 1, 1, 6, 6, 6, 6, 6, 6, 1, 1, 2, 8],\n[1, 1, 1, 4, 4, 4, 6, 6, 6, 2, 6, 1, 1, 1],\n[1, 8, 6, 4, 4, 4, 6, 6, 6, 6, 6, 6, 8, 1],\n[2, 1, 6, 4, 4, 4, 6, 6, 6, 6, 6, 6, 1, 2],\n[2, 1, 6, 4, 4, 4, 6, 6, 6, 6, 6, 6, 1, 2],\n[1, 8, 6, 4, 4, 4, 6, 6, 6, 4, 4, 4, 4, 1],\n[1, 1, 1, 4, 4, 4, 6, 6, 6, 4, 4, 4, 4, 1],\n[8, 2, 1, 4, 4, 4, 6, 6, 6, 4, 4, 4, 4, 8],\n[1, 1, 0, 4, 4, 4, 6, 6, 6, 4, 4, 4, 4, 1],\n[8, 2, 1, 2, 1, 8, 1, 1, 8, 1, 2, 1, 2, 8],\n[6, 8, 1, 8, 1, 1, 2, 2, 1, 1, 8, 1, 8, 6]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[6, 8, 1, 8, 1, 1, 2, 2, 1, 1, 8, 1, 8, 6], [8, 2, 1, 2, 1, 8, 1, 1, 8, 1, 2, 1, 2, 8], [1, 1, 0, 1, 1, 6, 6, 6, 6, 1, 1, 0, 1, 1], [8, 2, 1, 1, 6, 6, 6, 6, 6, 6, 1, 1, 2, 8], [1, 1, 1, 4, 4, 4, 6, 6, 6, 2, 6, 1, 1, 1], [1, 8, 6, 4, 4, 4, 6, 6, 6, 6, 6, 6, 8, 1], [2, 1, 6, 4, 4, 4, 6, 6, 6, 6, 6, 6, 1, 2], [2, 1, 6, 4, 4, 4, 6, 6, 6, 6, 6, 6, 1, 2], [1, 8, 6, 4, 4, 4, 6, 6, 6, 4, 4, 4, 4, 1], [1, 1, 1, 4, 4, 4, 6, 6, 6, 4, 4, 4, 4, 1], [8, 2, 1, 4, 4, 4, 6, 6, 6, 4, 4, 4, 4, 8], [1, 1, 0, 4, 4, 4, 6, 6, 6, 4, 4, 4, 4, 1], [8, 2, 1, 2, 1, 8, 1, 1, 8, 1, 2, 1, 2, 8], [6, 8, 1, 8, 1, 1, 2, 2, 1, 1, 8, 1, 8, 6]], "task_key": "b8825c91"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[4, 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[4, 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[4, 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[4, 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[4, 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[4, 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[4, 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[4, 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[4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 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[4, 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[4, 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[4, 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[4, 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[4, 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[4, 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[4, 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[4, 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[4, 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[4, 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[4, 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[4, 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[4, 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]\n``` \n **Output**: \n```arcmatrix\n[\n[4, 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[4, 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[4, 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[4, 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[4, 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[4, 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[4, 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[4, 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[4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 5, 8, 8, 8, 8, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 5, 8, 8, 8, 8, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[2, 8, 8, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 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[4, 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[4, 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[4, 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[4, 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[4, 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[4, 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[4, 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[4, 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[4, 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[4, 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[4, 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[4, 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[4, 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]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[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],\n[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],\n[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],\n[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],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[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],\n[9, 8, 8, 8, 8, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[9, 8, 8, 8, 8, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[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],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 8, 8, 8, 8, 3, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 8, 8, 8, 8, 3, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 8, 8, 8, 8, 3, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 0, 8, 8, 8, 8, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 0, 8, 8, 8, 8, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 0, 8, 8, 8, 8, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 1, 1],\n[1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 1, 1],\n[1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 1, 1],\n[1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 1, 1],\n[1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 1, 1],\n[1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 1, 1],\n[1, 1, 1, 1, 1, 1, 4, 8, 8, 8, 4, 1, 1],\n[1, 1, 1, 1, 1, 1, 4, 4, 4, 4, 4, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 1, 1],\n[1, 1, 1, 1, 6, 8, 8, 8, 8, 8, 6, 1, 1],\n[1, 1, 1, 1, 6, 8, 8, 8, 8, 8, 6, 1, 1],\n[1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0],\n[0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0],\n[0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0],\n[0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0],\n[0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 5, 5, 5, 5, 5, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 5, 5, 5, 5, 5, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 5, 5, 5, 5, 5, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 5, 5, 5, 5, 5, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 5, 5, 5, 5, 5, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 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, 0], [0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0], [0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0], [0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0], [0, 4, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 5, 5, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 5, 5, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 5, 5, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 5, 5, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 5, 5, 5, 5, 5, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "task_key": "50cb2852"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[8, 3, 6, 8, 6, 8, 1, 9, 9, 9, 3, 8],\n[3, 2, 2, 8, 6, 6, 8, 3, 1, 1, 1, 9],\n[1, 6, 3, 6, 2, 6, 8, 9, 9, 1, 3, 1],\n[8, 9, 1, 6, 9, 8, 2, 2, 8, 1, 6, 2],\n[3, 1, 8, 1, 3, 8, 9, 2, 8, 9, 2, 2],\n[8, 8, 9, 8, 8, 1, 6, 3, 2, 6, 1, 1],\n[3, 1, 3, 6, 1, 9, 1, 3, 2, 9, 6, 6],\n[8, 3, 8, 1, 3, 1, 1, 1, 6, 6, 3, 8],\n[9, 8, 1, 2, 6, 8, 9, 3, 9, 8, 8, 3],\n[2, 8, 1, 6, 8, 9, 8, 3, 8, 1, 6, 3],\n[8, 8, 8, 8, 6, 9, 6, 3, 9, 6, 3, 8],\n[1, 3, 2, 9, 8, 2, 6, 1, 8, 6, 6, 2],\n[8, 9, 8, 3, 9, 6, 8, 3, 6, 6, 8, 3],\n[1, 6, 2, 9, 2, 1, 2, 1, 2, 3, 1, 9],\n[6, 8, 3, 9, 6, 6, 3, 2, 8, 9, 8, 6],\n[3, 1, 3, 2, 2, 9, 3, 3, 1, 9, 8, 2],\n[3, 8, 2, 1, 6, 8, 8, 2, 2, 3, 8, 3],\n[6, 6, 8, 9, 8, 9, 3, 2, 8, 2, 6, 3],\n[2, 8, 9, 1, 3, 1, 9, 3, 1, 8, 9, 3],\n[1, 3, 6, 8, 2, 6, 6, 9, 6, 1, 1, 1]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[9, 4, 2, 9, 2, 9, 5, 8, 8, 8, 4, 9],\n[4, 6, 6, 9, 2, 2, 9, 4, 5, 5, 5, 8],\n[5, 2, 4, 2, 6, 2, 9, 8, 8, 5, 4, 5],\n[9, 8, 5, 2, 8, 9, 6, 6, 9, 5, 2, 6],\n[4, 5, 9, 5, 4, 9, 8, 6, 9, 8, 6, 6],\n[9, 9, 8, 9, 9, 5, 2, 4, 6, 2, 5, 5],\n[4, 5, 4, 2, 5, 8, 5, 4, 6, 8, 2, 2],\n[9, 4, 9, 5, 4, 5, 5, 5, 2, 2, 4, 9],\n[8, 9, 5, 6, 2, 9, 8, 4, 8, 9, 9, 4],\n[6, 9, 5, 2, 9, 8, 9, 4, 9, 5, 2, 4],\n[9, 9, 9, 9, 2, 8, 2, 4, 8, 2, 4, 9],\n[5, 4, 6, 8, 9, 6, 2, 5, 9, 2, 2, 6],\n[9, 8, 9, 4, 8, 2, 9, 4, 2, 2, 9, 4],\n[5, 2, 6, 8, 6, 5, 6, 5, 6, 4, 5, 8],\n[2, 9, 4, 8, 2, 2, 4, 6, 9, 8, 9, 2],\n[4, 5, 4, 6, 6, 8, 4, 4, 5, 8, 9, 6],\n[4, 9, 6, 5, 2, 9, 9, 6, 6, 4, 9, 4],\n[2, 2, 9, 8, 9, 8, 4, 6, 9, 6, 2, 4],\n[6, 9, 8, 5, 4, 5, 8, 4, 5, 9, 8, 4],\n[5, 4, 2, 9, 6, 2, 2, 8, 2, 5, 5, 5]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[1, 5, 6, 3, 1, 4, 6, 5, 2],\n[2, 4, 3, 4, 2, 4, 6, 3, 8],\n[2, 6, 6, 8, 1, 5, 1, 6, 6],\n[2, 5, 5, 1, 8, 3, 4, 8, 2],\n[1, 4, 5, 2, 2, 8, 5, 4, 3],\n[1, 2, 3, 4, 2, 8, 5, 2, 3],\n[6, 8, 8, 3, 5, 2, 2, 2, 2],\n[4, 2, 2, 2, 4, 3, 4, 3, 1],\n[3, 6, 1, 2, 3, 8, 2, 1, 5],\n[4, 1, 8, 8, 3, 3, 2, 2, 5]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[5, 1, 2, 4, 5, 3, 2, 1, 6],\n[6, 3, 4, 3, 6, 3, 2, 4, 9],\n[6, 2, 2, 9, 5, 1, 5, 2, 2],\n[6, 1, 1, 5, 9, 4, 3, 9, 6],\n[5, 3, 1, 6, 6, 9, 1, 3, 4],\n[5, 6, 4, 3, 6, 9, 1, 6, 4],\n[2, 9, 9, 4, 1, 6, 6, 6, 6],\n[3, 6, 6, 6, 3, 4, 3, 4, 5],\n[4, 2, 5, 6, 4, 9, 6, 5, 1],\n[3, 5, 9, 9, 4, 4, 6, 6, 1]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3, 3, 3]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[4, 9, 1, 9, 2, 5, 9, 2, 2, 5, 9, 2, 9, 5, 1, 5, 5, 5, 2],\n[9, 2, 1, 1, 4, 2, 4, 2, 9, 9, 9, 4, 5, 4, 5, 4, 1, 2, 1],\n[5, 4, 9, 4, 5, 5, 1, 5, 1, 1, 9, 1, 5, 5, 1, 9, 5, 4, 5],\n[9, 4, 5, 1, 4, 9, 1, 1, 9, 9, 5, 4, 1, 9, 5, 2, 1, 1, 5],\n[4, 5, 4, 4, 4, 4, 4, 1, 9, 1, 1, 4, 1, 4, 2, 4, 1, 9, 9],\n[2, 2, 1, 9, 2, 2, 2, 5, 1, 9, 1, 1, 2, 2, 5, 9, 9, 1, 1],\n[4, 9, 4, 4, 4, 2, 2, 4, 2, 2, 1, 4, 9, 4, 9, 4, 5, 9, 1],\n[1, 4, 1, 1, 1, 1, 1, 5, 5, 2, 1, 5, 4, 2, 1, 1, 2, 2, 1],\n[2, 9, 5, 9, 1, 1, 9, 1, 9, 9, 9, 1, 5, 2, 2, 9, 4, 5, 2],\n[1, 4, 9, 5, 4, 2, 4, 2, 9, 1, 1, 4, 9, 4, 2, 9, 1, 2, 4],\n[9, 1, 2, 5, 9, 5, 5, 1, 5, 4, 1, 9, 4, 2, 9, 4, 9, 5, 5],\n[1, 1, 4, 5, 9, 9, 2, 9, 2, 4, 2, 4, 1, 9, 9, 5, 9, 1, 1],\n[5, 9, 9, 2, 1, 9, 1, 2, 2, 4, 2, 4, 5, 1, 4, 1, 2, 4, 4],\n[2, 5, 4, 5, 1, 4, 1, 9, 5, 9, 9, 4, 9, 1, 9, 9, 2, 4, 4],\n[2, 5, 5, 9, 2, 1, 4, 1, 9, 4, 4, 9, 4, 2, 4, 5, 5, 1, 5],\n[9, 1, 4, 9, 1, 2, 2, 2, 9, 9, 1, 9, 9, 1, 1, 9, 1, 9, 4],\n[2, 2, 2, 5, 4, 9, 2, 9, 1, 1, 9, 5, 2, 1, 5, 4, 9, 9, 5],\n[4, 2, 9, 2, 4, 2, 2, 1, 9, 9, 2, 9, 1, 9, 1, 1, 5, 1, 5],\n[9, 5, 4, 5, 2, 2, 2, 5, 9, 1, 2, 4, 2, 2, 2, 5, 9, 2, 9],\n[4, 9, 2, 5, 5, 2, 9, 2, 5, 9, 5, 5, 4, 9, 5, 9, 1, 9, 5],\n[2, 9, 1, 9, 9, 4, 5, 4, 9, 4, 2, 4, 9, 2, 4, 5, 5, 5, 5],\n[2, 1, 5, 2, 2, 1, 1, 5, 2, 5, 2, 4, 4, 2, 9, 1, 1, 1, 2],\n[2, 2, 1, 5, 9, 9, 2, 1, 5, 1, 9, 5, 1, 5, 1, 5, 1, 9, 1],\n[4, 9, 2, 4, 9, 2, 9, 5, 4, 5, 1, 4, 2, 4, 1, 4, 5, 9, 9],\n[2, 9, 9, 2, 2, 2, 9, 2, 1, 9, 9, 4, 5, 9, 1, 1, 1, 5, 9],\n[2, 2, 5, 9, 1, 4, 2, 5, 9, 2, 9, 5, 1, 1, 4, 1, 4, 1, 9]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[4, 9, 1, 9, 2, 5, 9, 2, 2, 5, 9, 2, 9, 5, 1, 5, 5, 5, 2], [9, 2, 1, 1, 4, 2, 4, 2, 9, 9, 9, 4, 5, 4, 5, 4, 1, 2, 1], [5, 4, 9, 4, 5, 5, 1, 5, 1, 1, 9, 1, 5, 5, 1, 9, 5, 4, 5], [9, 4, 5, 1, 4, 9, 1, 1, 9, 9, 5, 4, 1, 9, 5, 2, 1, 1, 5], [4, 5, 4, 4, 4, 4, 4, 1, 9, 1, 1, 4, 1, 4, 2, 4, 1, 9, 9], [2, 2, 1, 9, 2, 2, 2, 5, 1, 9, 1, 1, 2, 2, 5, 9, 9, 1, 1], [4, 9, 4, 4, 4, 2, 2, 4, 2, 2, 1, 4, 9, 4, 9, 4, 5, 9, 1], [1, 4, 1, 1, 1, 1, 1, 5, 5, 2, 1, 5, 4, 2, 1, 1, 2, 2, 1], [2, 9, 5, 9, 1, 1, 9, 1, 9, 9, 9, 1, 5, 2, 2, 9, 4, 5, 2], [1, 4, 9, 5, 4, 2, 4, 2, 9, 1, 1, 4, 9, 4, 2, 9, 1, 2, 4], [9, 1, 2, 5, 9, 5, 5, 1, 5, 4, 1, 9, 4, 2, 9, 4, 9, 5, 5], [1, 1, 4, 5, 9, 9, 2, 9, 2, 4, 2, 4, 1, 9, 9, 5, 9, 1, 1], [5, 9, 9, 2, 1, 9, 1, 2, 2, 4, 2, 4, 5, 1, 4, 1, 2, 4, 4], [2, 5, 4, 5, 1, 4, 1, 9, 5, 9, 9, 4, 9, 1, 9, 9, 2, 4, 4], [2, 5, 5, 9, 2, 1, 4, 1, 9, 4, 4, 9, 4, 2, 4, 5, 5, 1, 5], [9, 1, 4, 9, 1, 2, 2, 2, 9, 9, 1, 9, 9, 1, 1, 9, 1, 9, 4], [2, 2, 2, 5, 4, 9, 2, 9, 1, 1, 9, 5, 2, 1, 5, 4, 9, 9, 5], [4, 2, 9, 2, 4, 2, 2, 1, 9, 9, 2, 9, 1, 9, 1, 1, 5, 1, 5], [9, 5, 4, 5, 2, 2, 2, 5, 9, 1, 2, 4, 2, 2, 2, 5, 9, 2, 9], [4, 9, 2, 5, 5, 2, 9, 2, 5, 9, 5, 5, 4, 9, 5, 9, 1, 9, 5], [2, 9, 1, 9, 9, 4, 5, 4, 9, 4, 2, 4, 9, 2, 4, 5, 5, 5, 5], [2, 1, 5, 2, 2, 1, 1, 5, 2, 5, 2, 4, 4, 2, 9, 1, 1, 1, 2], [2, 2, 1, 5, 9, 9, 2, 1, 5, 1, 9, 5, 1, 5, 1, 5, 1, 9, 1], [4, 9, 2, 4, 9, 2, 9, 5, 4, 5, 1, 4, 2, 4, 1, 4, 5, 9, 9], [2, 9, 9, 2, 2, 2, 9, 2, 1, 9, 9, 4, 5, 9, 1, 1, 1, 5, 9], [2, 2, 5, 9, 1, 4, 2, 5, 9, 2, 9, 5, 1, 1, 4, 1, 4, 1, 9]], "task_key": "0d3d703e"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 5, 3, 1, 3, 5, 3],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 3, 1, 3],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 3, 1, 3],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 3, 1, 3],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 3, 1, 3],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 3, 1, 3],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 3, 1, 3],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 3, 1, 3],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 3, 1, 3],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 3, 1, 3],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 3, 1, 3],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 3, 1, 3],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 3, 1, 3],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 3, 1, 3],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 3, 1, 3],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 3, 1, 3],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 3, 1, 3],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 5, 3, 1, 3]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 5, 1, 2, 1, 5, 1, 2, 1, 5, 1],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1],\n[2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 5, 1, 2, 1, 5, 1, 2, 1]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 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]], "task_key": "8403a5d5"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[0, 9, 0],\n[9, 0, 9],\n[0, 9, 9],\n[9, 0, 9]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[0, 9, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0, 0, 9, 0],\n[9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9],\n[0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9],\n[9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9, 9, 0, 9],\n[0, 9, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[9, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 9, 9, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[9, 0, 9, 9, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[0, 6, 0, 6],\n[0, 0, 6, 0],\n[6, 0, 6, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6, 0, 6],\n[0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0, 0, 0, 6, 0],\n[6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6, 6, 0, 6, 6],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[4, 4, 0, 4],\n[4, 0, 0, 0],\n[4, 4, 0, 0]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[4, 4, 0, 4, 4, 4, 0, 4, 4, 4, 0, 4, 4, 4, 0, 4, 4, 4, 0, 4, 4, 4, 0, 4],\n[4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0],\n[4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0, 4, 4, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[0, 2, 0],\n[2, 2, 0],\n[0, 2, 0]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[0, 2, 0], [2, 2, 0], [0, 2, 0]], "task_key": "91413438"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[4, 4, 4, 4, 4, 4, 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[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],\n[4, 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],\n[4, 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],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 7, 7, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 7, 7, 7, 7, 4, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4],\n[4, 4, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 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, 7, 4],\n[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, 7, 7, 7, 7, 4],\n[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, 7, 7, 7, 7, 4],\n[4, 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, 7, 4],\n[4, 4, 4, 4, 4, 4, 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[4, 4, 4, 4, 4, 4, 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[4, 4, 4, 4, 4, 4, 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[4, 4, 4, 7, 7, 7, 4, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 7, 7, 7, 4, 7, 7, 7, 4, 4, 4, 4, 7, 7, 4, 7, 7, 7, 4, 4, 7, 7, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 7, 7, 7, 4, 7, 7, 7, 4, 4, 4, 4, 7, 7, 4, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[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],\n[4, 4, 4, 4, 4, 4, 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[4, 4, 4, 4, 4, 4, 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[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 4, 4, 4, 4, 7, 7, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 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[4, 4, 4, 4, 4, 4, 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]\n``` \n **Output**: \n```arcmatrix\n[\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 1, 1, 1, 1, 4, 1, 1, 4, 4, 4, 4, 4, 4, 7, 7, 4, 4, 4, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 1, 1, 1, 1, 4, 1, 1, 4, 4, 4, 1, 4, 4, 1, 1, 4, 4, 4, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 1, 1, 1, 1, 4, 7, 7, 4, 4, 4, 7, 4, 4, 1, 1, 4, 4, 4, 1, 4, 4, 1, 4, 4, 4, 4, 4, 4],\n[4, 4, 7, 7, 7, 7, 4, 7, 7, 4, 4, 4, 1, 4, 4, 4, 4, 4, 1, 1, 4, 4, 4, 7, 4, 1, 1, 1, 1, 4],\n[4, 4, 7, 7, 7, 7, 4, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 4, 1, 4, 1, 4, 1, 1, 1, 1, 4],\n[4, 4, 7, 7, 7, 7, 4, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 4, 7, 4, 4, 4, 1, 1, 1, 1, 4],\n[4, 4, 7, 7, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 4, 4, 7, 7, 4, 1, 4, 4, 4, 1, 1, 1, 1, 4],\n[4, 4, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 4, 4, 1, 1, 4, 4, 4, 4, 4, 7, 7, 7, 7, 4],\n[4, 4, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 4, 4, 1, 1, 4, 4, 4, 4, 4, 7, 7, 7, 7, 4],\n[4, 4, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 4],\n[4, 4, 1, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 7, 7, 4],\n[4, 4, 4, 1, 1, 1, 4, 1, 1, 1, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 4],\n[4, 4, 4, 1, 1, 1, 4, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 4, 4, 1, 1, 4, 1, 1, 1, 1, 4],\n[4, 4, 4, 1, 1, 1, 4, 1, 1, 1, 4, 4, 4, 4, 1, 1, 4, 1, 1, 1, 4, 4, 1, 1, 4, 1, 1, 1, 1, 4],\n[4, 4, 4, 7, 7, 7, 4, 7, 7, 7, 4, 4, 4, 4, 1, 1, 4, 1, 1, 1, 4, 4, 7, 7, 4, 1, 1, 1, 1, 4],\n[4, 4, 4, 7, 7, 7, 4, 7, 7, 7, 4, 4, 4, 4, 7, 7, 4, 7, 7, 7, 4, 4, 7, 7, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 7, 7, 7, 4, 7, 7, 7, 4, 4, 4, 4, 7, 7, 4, 7, 7, 7, 4, 4, 1, 1, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 1, 1, 1, 4, 1, 1, 1, 4, 4, 4, 4, 1, 1, 4, 7, 7, 7, 4, 4, 1, 1, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 1, 1, 1, 4, 1, 1, 1, 4, 4, 4, 4, 1, 1, 4, 1, 1, 1, 4, 1, 1, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 1, 1, 1, 4, 1, 1, 1, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 4, 1, 1, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 4, 7, 7, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 4, 4, 4, 4, 7, 7, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 7, 7, 4, 4, 4, 4, 1, 1, 4, 1, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 7, 7, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 1, 1, 4, 7, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 4, 4, 4, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4],\n[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]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6],\n[6, 6, 7, 7, 6, 6, 6, 6, 0, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6],\n[6, 6, 7, 7, 6, 6, 6, 6, 7, 6, 7, 6, 6, 6, 6, 6, 6, 6, 7],\n[6, 6, 6, 6, 6, 7, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7],\n[6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6, 6, 7, 6, 6],\n[6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 7, 6, 6],\n[6, 6, 7, 7, 6, 6, 6, 6, 0, 6, 0, 6, 6, 7, 6, 6, 0, 6, 0],\n[6, 6, 7, 7, 6, 0, 6, 6, 7, 6, 7, 6, 6, 0, 6, 0, 0, 6, 7],\n[6, 6, 0, 0, 6, 7, 6, 6, 0, 6, 0, 6, 6, 6, 6, 0, 0, 6, 0],\n[6, 6, 0, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 7, 7, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 7, 6, 0, 0, 6, 6],\n[6, 6, 0, 0, 6, 6, 6, 7, 6, 6, 6, 0, 0, 0, 6, 0, 0, 6, 0],\n[6, 6, 0, 0, 6, 6, 6, 0, 6, 6, 6, 0, 0, 6, 6, 6, 0, 6, 7],\n[6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6, 6, 7, 6, 0],\n[6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6, 6, 6, 0, 6, 6],\n[6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6],\n[6, 6, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 6]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0],\n[7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0],\n[2, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0],\n[0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0],\n[0, 0, 0, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0],\n[0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0],\n[2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 7, 7, 7, 2, 2, 2],\n[7, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 7, 7, 7, 2, 2, 2],\n[2, 0, 0, 0, 0, 7, 7, 7, 2, 2, 2, 0, 0, 0, 7, 7, 7, 2, 2, 2],\n[0, 0, 0, 0, 0, 7, 7, 7, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0],\n[0, 0, 0, 0, 0, 7, 7, 7, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0],\n[0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0],\n[0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0],\n[2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 7, 2, 0, 0, 0, 2, 0],\n[2, 2, 2, 2, 0, 7, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 7, 2],\n[2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0],\n[7, 7, 7, 7, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[7, 7, 7, 7, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[7, 7, 7, 7, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[7, 7, 7, 7, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0],\n[2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 2, 0, 0, 0, 0, 0],\n[2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0],\n[2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 2, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[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, 7, 7, 7, 7],\n[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],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[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],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7],\n[7, 5, 9, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7],\n[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],\n[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],\n[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],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 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],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[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, 5, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[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, 7, 7, 7, 7], [5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 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, 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, 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, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7], [7, 5, 9, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5, 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, 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, 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, 7, 7, 7, 7, 7, 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, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], [7, 7, 7, 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], [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, 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]], "task_key": "447fd412"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 4],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[8, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[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],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[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]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7, 7, 1, 7, 7, 7, 7, 4, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7, 7, 1, 7, 7, 7, 7, 4, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7, 7, 1, 7, 7, 7, 7, 4, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7, 7, 1, 7, 7, 7, 7, 4, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7, 7, 1, 7, 7, 7, 7, 4, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7, 7, 1, 7, 7, 7, 7, 4, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7, 7, 1, 7, 7, 7, 7, 4, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7, 7, 1, 7, 7, 7, 7, 4, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7, 7, 1, 7, 7, 7, 7, 4, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7, 7, 1, 7, 7, 7, 7, 4, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7, 7, 1, 7, 7, 7, 7, 4, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 4, 7, 7, 7, 7, 1, 7, 7, 7, 7, 4, 7]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 9, 0]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 9, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 9, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 9, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 9, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 9, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 9, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 9, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 9, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 9, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 9, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 9, 0]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]], "task_key": "0a938d79"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[7, 7, 5, 5, 1, 7, 7, 5, 7, 7, 5, 7, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7],\n[7, 5, 5, 5, 5, 1, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[5, 7, 7, 7, 7, 1, 1, 5, 5, 5, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 5, 7, 5, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 1, 1, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5],\n[5, 5, 7, 7, 7, 1, 1, 7, 5, 5, 7, 7, 5, 5, 7, 5, 7, 5, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7],\n[7, 7, 7, 5, 7, 1, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 5, 7, 5, 7],\n[7, 5, 7, 7, 1, 7, 7, 5, 5, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 5, 5, 5, 5, 7, 7],\n[7, 7, 7, 7, 7, 5, 5, 7, 5, 7, 7, 7, 7, 7, 7, 5, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7],\n[5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[5, 5, 5, 5, 1, 7, 7, 5, 7, 7, 5, 7, 5, 7, 7, 7, 5, 5, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7],\n[5, 5, 5, 5, 5, 1, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[5, 5, 5, 5, 5, 1, 1, 5, 5, 5, 7, 5, 5, 7, 7, 7, 7, 7, 7, 5, 7, 7, 5, 7, 5, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 1, 1, 7, 7, 7, 7, 5, 5, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 5],\n[5, 5, 5, 5, 5, 1, 1, 7, 5, 5, 7, 7, 5, 5, 7, 5, 7, 5, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7, 7],\n[5, 5, 5, 5, 5, 1, 7, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 7, 5, 5, 7, 5, 7],\n[5, 5, 5, 5, 1, 7, 7, 5, 5, 7, 7, 5, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 5, 5, 5, 5, 7, 7],\n[7, 7, 7, 7, 7, 5, 5, 7, 5, 7, 7, 7, 7, 7, 7, 5, 7, 5, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 7],\n[5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7, 5, 7, 5, 7, 7, 7, 7, 7, 5, 7, 7, 7, 7]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 3, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 3, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9],\n[9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 9],\n[9, 9, 3, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[3, 9, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 3, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 3, 9, 9, 3, 3, 9, 9, 9, 9, 9, 9, 3, 9, 9],\n[9, 9, 3, 3, 9, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 9, 3, 9, 9]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 3, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[3, 3, 3, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9],\n[9, 9, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 9],\n[3, 3, 3, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[3, 9, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 3, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 3, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 3, 9, 9, 3, 3, 9, 9, 9, 9, 9, 9, 3, 9, 9],\n[9, 9, 3, 3, 9, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 3, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 9, 3, 9, 9]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[9, 9, 9, 9, 9, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 5, 9, 5, 9, 9, 9, 9, 9, 9, 5, 5, 9, 9, 9, 5, 9, 9, 9, 5, 9, 5, 5, 5, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 5, 9, 9, 9, 5, 9, 5],\n[5, 9, 9, 9, 9, 9, 9, 5, 5, 9, 9, 9, 9, 9, 5, 9, 5, 9, 9, 9, 9, 9, 9, 5, 9, 9],\n[9, 9, 9, 5, 9, 5, 9, 9, 9, 5, 9, 9, 9, 5, 7, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 9],\n[9, 5, 9, 5, 5, 9, 9, 9, 5, 5, 9, 9, 9, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9],\n[5, 9, 9, 9, 9, 9, 5, 9, 5, 9, 9, 9, 7, 7, 5, 7, 7, 9, 9, 9, 5, 9, 9, 9, 9, 5],\n[9, 9, 9, 9, 5, 9, 9, 9, 9, 5, 9, 7, 9, 9, 5, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 5]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[9, 9, 9, 9, 9, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 5, 9, 5, 9, 9, 9, 9, 9, 9, 5, 5, 9, 9, 9, 5, 9, 9, 9, 5, 9, 5, 5, 5, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 5, 9, 9, 9, 5, 9, 5],\n[5, 9, 9, 9, 9, 9, 9, 5, 5, 9, 9, 9, 9, 9, 5, 9, 5, 9, 9, 9, 9, 9, 9, 5, 9, 9],\n[9, 9, 9, 5, 9, 5, 9, 9, 9, 5, 9, 9, 9, 5, 7, 9, 9, 9, 9, 5, 9, 9, 9, 9, 9, 9],\n[9, 5, 9, 5, 5, 9, 9, 9, 5, 5, 9, 9, 9, 7, 7, 7, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9],\n[5, 9, 9, 9, 9, 9, 5, 9, 5, 9, 9, 9, 7, 7, 5, 7, 7, 9, 9, 9, 5, 9, 9, 9, 9, 5],\n[9, 9, 9, 9, 5, 9, 9, 9, 9, 5, 9, 7, 9, 9, 5, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 5]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[2, 2, 7, 7, 2, 2, 2, 2, 7, 2, 2, 7, 7, 7, 2, 2, 7],\n[7, 2, 7, 2, 2, 2, 2, 2, 2, 7, 7, 7, 2, 2, 2, 2, 7],\n[2, 2, 7, 2, 7, 7, 7, 2, 7, 7, 7, 2, 7, 2, 2, 7, 2],\n[7, 2, 2, 2, 7, 7, 2, 2, 2, 7, 2, 2, 7, 2, 2, 2, 2],\n[2, 2, 7, 7, 2, 2, 0, 7, 2, 2, 7, 2, 0, 7, 7, 7, 2],\n[2, 7, 2, 7, 2, 2, 2, 0, 0, 2, 0, 0, 7, 2, 2, 2, 2],\n[7, 2, 7, 2, 7, 2, 2, 2, 0, 0, 0, 2, 2, 7, 2, 7, 2],\n[2, 2, 2, 2, 2, 2, 7, 2, 7, 0, 2, 2, 7, 7, 7, 2, 2],\n[7, 7, 2, 7, 2, 7, 2, 7, 2, 2, 2, 2, 2, 7, 7, 2, 7],\n[2, 7, 2, 2, 2, 2, 2, 7, 2, 2, 2, 7, 7, 2, 7, 2, 2]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[2, 2, 7, 7, 2, 2, 2, 2, 7, 2, 2, 7, 7, 7, 2, 2, 7], [7, 2, 7, 2, 2, 2, 2, 2, 2, 7, 7, 7, 2, 2, 2, 2, 7], [2, 2, 7, 2, 7, 7, 7, 2, 7, 7, 7, 2, 7, 2, 2, 7, 2], [7, 2, 2, 2, 7, 7, 2, 2, 2, 7, 2, 2, 7, 2, 2, 2, 2], [2, 2, 7, 7, 2, 2, 0, 7, 2, 2, 7, 2, 0, 7, 7, 7, 2], [2, 7, 2, 7, 2, 2, 2, 0, 0, 2, 0, 0, 7, 2, 2, 2, 2], [7, 2, 7, 2, 7, 2, 2, 2, 0, 0, 0, 2, 2, 7, 2, 7, 2], [2, 2, 2, 2, 2, 2, 7, 2, 7, 0, 2, 2, 7, 7, 7, 2, 2], [7, 7, 2, 7, 2, 7, 2, 7, 2, 2, 2, 2, 2, 7, 7, 2, 7], [2, 7, 2, 2, 2, 2, 2, 7, 2, 2, 2, 7, 7, 2, 7, 2, 2]], "task_key": "6d58a25d"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 6, 4],\n[4, 6, 4, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 4, 4, 4, 4, 3, 4, 4],\n[3, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 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[4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 9, 6, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 9, 4, 4, 4, 6, 4],\n[4, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3],\n[4, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 6, 6, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 6, 6, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 4, 4, 6, 4, 4, 4, 4, 4, 4, 4, 4],\n[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]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 3, 4, 4, 4, 9, 6, 4],\n[9, 6, 4, 4, 6, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 6, 9, 4, 4, 4, 3, 9, 4],\n[3, 9, 4, 4, 9, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 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[4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 9, 9, 9, 9, 4, 4, 4, 4, 9, 6, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 9, 9, 9, 9, 4, 4, 4, 4, 3, 9, 4, 4, 4, 6, 9],\n[4, 3, 3, 9, 9, 4, 3, 3, 3, 3, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 9, 3],\n[4, 3, 3, 9, 9, 4, 3, 3, 3, 3, 9, 9, 9, 9, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 9, 9, 6, 6, 4, 9, 9, 9, 9, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 9, 9, 6, 6, 4, 9, 9, 9, 9, 6, 6, 6, 6, 4, 3, 9, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 6, 6, 6, 6, 4, 9, 6, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 9, 9, 9, 9, 6, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 7, 6, 6],\n[6, 6, 6, 4, 6, 6, 6, 4, 6, 6, 6, 4, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 4, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6],\n[6, 7, 6, 6, 6, 4, 4, 4, 6, 6, 6, 6, 6, 7, 6],\n[6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4],\n[6, 6, 6, 6, 6, 6, 4, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 7, 7, 6, 7, 6, 6, 6, 6, 6, 6, 7, 7, 6],\n[6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 6],\n[4, 4, 6, 6, 6, 6, 7, 6, 6, 6, 4, 4, 6, 6, 6],\n[4, 4, 6, 6, 6, 4, 6, 6, 6, 6, 4, 4, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 4, 6, 6, 6],\n[6, 6, 6, 6, 6, 4, 4, 6, 6, 6, 6, 6, 7, 6, 6],\n[6, 6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 5, 6, 6, 6, 6],\n[6, 6, 6, 6, 4, 6, 6, 6, 6, 5, 4, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[6, 6, 6, 5, 7, 6, 6, 6, 6, 6, 6, 5, 7, 6, 6],\n[6, 6, 6, 4, 5, 6, 5, 4, 6, 6, 6, 4, 5, 6, 6],\n[6, 6, 6, 6, 6, 6, 7, 5, 6, 6, 6, 6, 6, 6, 6],\n[6, 7, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 5, 4, 6, 6, 5, 5, 5, 7, 7, 7, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 5, 5, 5, 7, 7, 7, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 5, 5, 5, 7, 7, 7, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6],\n[6, 7, 5, 6, 6, 4, 4, 4, 5, 5, 5, 6, 6, 7, 5],\n[6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 4],\n[6, 6, 6, 6, 6, 5, 4, 6, 6, 6, 6, 6, 6, 6, 6],\n[5, 5, 7, 7, 6, 7, 5, 6, 6, 6, 5, 5, 7, 7, 6],\n[5, 5, 7, 7, 6, 6, 6, 6, 6, 6, 5, 5, 7, 7, 6],\n[4, 4, 5, 5, 6, 5, 7, 6, 6, 6, 4, 4, 5, 5, 6],\n[4, 4, 5, 5, 6, 4, 5, 6, 6, 6, 4, 4, 5, 5, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 5, 5, 4, 4, 6, 6, 6, 6, 4, 5, 6, 6],\n[6, 6, 6, 5, 5, 4, 4, 6, 6, 6, 6, 5, 7, 6, 6],\n[6, 6, 6, 7, 7, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 7, 7, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 5, 6, 6, 6, 6],\n[6, 6, 6, 6, 4, 5, 6, 6, 6, 5, 4, 6, 6, 6, 6],\n[6, 6, 6, 6, 5, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0, 0, 2, 9, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 2, 2, 2, 2, 7, 7, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 7, 7, 0, 0],\n[0, 0, 0, 0, 2, 2, 2, 2, 7, 7, 0, 0, 0, 2, 9, 0, 0, 0, 0, 2, 2, 2, 2, 7, 7, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0],\n[0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0],\n[0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0],\n[0, 0, 9, 9, 2, 2, 0, 0, 0, 0, 0, 0, 9, 2, 0, 0, 0, 9, 9, 2, 2, 0, 0, 0, 0, 0, 0],\n[0, 0, 9, 9, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 9, 9, 2, 2, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5],\n[1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1],\n[1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 6, 1, 1, 1, 1, 1],\n[1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 5, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 4, 4, 4, 1],\n[5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 4, 1, 1],\n[5, 5, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1],\n[1, 1, 1, 1, 6, 6, 1, 6, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1],\n[1, 1, 1, 1, 6, 6, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5, 5, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1], [1, 1, 1, 1, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 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], [6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 5, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 6, 6, 1, 1, 1, 1, 1], [1, 1, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 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, 4, 5, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 1, 1, 1, 4, 4, 4, 1], [5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 4, 1, 1], [5, 5, 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, 6], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1], [1, 1, 1, 1, 6, 6, 1, 6, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1], [1, 1, 1, 1, 6, 6, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 1, 1, 1, 1, 1, 1]], "task_key": "6aa20dc0"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3],\n[3, 3, 3, 3, 3, 3, 3],\n[3, 3, 1, 1, 0, 3, 3],\n[3, 3, 1, 1, 0, 3, 3],\n[3, 3, 1, 1, 1, 3, 3],\n[3, 3, 1, 1, 1, 3, 3],\n[3, 3, 1, 1, 1, 3, 3],\n[3, 3, 1, 1, 1, 3, 3],\n[3, 3, 1, 1, 1, 3, 3],\n[3, 3, 1, 1, 1, 3, 3]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[0, 1, 1],\n[0, 1, 1],\n[1, 1, 1],\n[1, 1, 1],\n[1, 1, 1],\n[1, 1, 1],\n[1, 1, 1],\n[1, 1, 1]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 7],\n[0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 7],\n[0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1],\n[0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[7, 1, 1, 1, 1],\n[7, 1, 1, 1, 1],\n[1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[7, 7, 7, 7, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 8, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 0, 0, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[8, 8],\n[0, 8],\n[8, 8],\n[0, 0],\n[0, 0],\n[0, 0]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8],\n[8, 8, 6, 6, 8],\n[8, 8, 6, 6, 8],\n[8, 8, 3, 3, 8],\n[8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8], [8, 8, 6, 6, 8], [8, 8, 6, 6, 8], [8, 8, 3, 3, 8], [8, 8, 8, 8, 8], [8, 8, 8, 8, 8]], "task_key": "7468f01a"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 5, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 0, 5, 0, 0, 5, 5, 5, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 0, 5, 5, 5, 5, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 5, 0, 0, 5, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 5, 0, 5, 0, 5, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 5, 5, 0, 0],\n[0, 0, 0, 0, 5, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 0, 0],\n[0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 5, 5, 0, 5, 5, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 5, 0, 5, 0, 5, 5, 5, 5, 5, 0, 5, 5, 0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 5, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0, 5, 5, 5, 5, 5, 5, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 5, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0],\n[0, 0, 2, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0],\n[0, 0, 2, 2, 2, 2, 2, 2, 2, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0],\n[0, 0, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0],\n[0, 0, 2, 2, 2, 2, 2, 2, 5, 2, 5, 2, 5, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0],\n[0, 0, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0],\n[0, 0, 2, 2, 2, 2, 2, 2, 2, 5, 2, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 5, 5, 2, 5, 2, 0, 0],\n[0, 0, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 2, 5, 2, 2, 5, 2, 5, 2, 2, 5, 5, 5, 2, 2, 0, 0],\n[0, 0, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 2, 2, 5, 5, 5, 5, 2, 2, 0, 0],\n[0, 0, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 2, 5, 2, 5, 5, 2, 2, 5, 2, 2, 2, 2, 0, 0],\n[0, 0, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 5, 2, 5, 2, 5, 2, 2, 0, 0],\n[0, 0, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 2, 0, 0],\n[0, 0, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 2, 2, 5, 5, 0, 0],\n[0, 0, 2, 2, 5, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 2, 5, 5, 2, 2, 0, 0],\n[0, 0, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 2, 2, 0, 0],\n[0, 0, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 2, 2, 2, 2, 0, 0],\n[0, 0, 2, 2, 2, 5, 5, 2, 5, 5, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 2, 2, 0, 0],\n[0, 0, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 0, 0],\n[0, 0, 2, 2, 5, 2, 5, 2, 5, 5, 5, 5, 5, 2, 5, 5, 2, 2, 5, 5, 2, 2, 2, 2, 2, 2, 0, 0],\n[0, 0, 2, 5, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 2, 0, 0],\n[0, 0, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 5, 5, 2, 5, 2, 5, 2, 2, 2, 2, 2, 2, 0, 0],\n[0, 0, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 2, 2, 2, 2, 2, 2, 0, 0],\n[0, 0, 2, 2, 2, 2, 2, 2, 2, 5, 5, 5, 5, 5, 2, 5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 2, 0, 0],\n[0, 0, 2, 2, 2, 2, 2, 2, 5, 2, 5, 2, 2, 5, 5, 2, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0],\n[0, 0, 2, 2, 2, 2, 2, 2, 2, 5, 2, 5, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0],\n[0, 0, 2, 2, 2, 2, 2, 2, 2, 5, 5, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0],\n[0, 0, 2, 2, 2, 2, 2, 2, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 2, 2],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 0, 0, 0]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 0, 6],\n[6, 6, 6, 0],\n[6, 6, 6, 0],\n[6, 6, 6, 0],\n[0, 0, 0, 6],\n[6, 0, 0, 0],\n[6, 6, 0, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[2, 2, 0, 2],\n[2, 2, 2, 0],\n[2, 2, 2, 0],\n[2, 2, 2, 0],\n[0, 0, 0, 2],\n[2, 0, 0, 0],\n[2, 2, 0, 2],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6],\n[6, 6, 6, 6]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[9, 9, 8, 8, 8, 9, 8, 9],\n[9, 8, 9, 9, 9, 9, 9, 9],\n[9, 8, 8, 8, 9, 9, 8, 8],\n[8, 9, 8, 9, 8, 9, 9, 8],\n[9, 8, 9, 8, 9, 9, 8, 9],\n[9, 8, 8, 9, 9, 8, 9, 8],\n[8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[9, 9, 8, 8, 8, 9, 8, 9], [9, 8, 9, 9, 9, 9, 9, 9], [9, 8, 8, 8, 9, 9, 8, 8], [8, 9, 8, 9, 8, 9, 9, 8], [9, 8, 9, 8, 9, 9, 8, 9], [9, 8, 8, 9, 9, 8, 9, 8], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8]], "task_key": "6d75e8bb"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[4, 3, 6, 4, 8, 8, 6, 6, 4, 5, 5, 3, 9, 4, 5, 5, 9, 8, 3, 8, 5, 6, 9],\n[8, 6, 3, 3, 5, 4, 8, 9, 3, 6, 8, 3, 4, 6, 6, 8, 9, 4, 6, 6, 5, 5, 9],\n[6, 9, 3, 9, 6, 9, 9, 4, 3, 3, 9, 4, 3, 4, 4, 3, 5, 3, 3, 8, 8, 8, 3],\n[3, 4, 8, 3, 3, 9, 9, 9, 4, 9, 9, 3, 6, 5, 8, 4, 9, 6, 9, 6, 8, 3, 6],\n[6, 5, 4, 4, 8, 8, 5, 8, 8, 9, 9, 8, 8, 4, 9, 5, 6, 5, 8, 9, 5, 9, 6],\n[3, 8, 6, 6, 4, 6, 4, 5, 9, 4, 4, 4, 3, 9, 9, 5, 5, 6, 4, 8, 5, 8, 5],\n[5, 9, 6, 4, 9, 6, 9, 9, 8, 6, 3, 5, 8, 9, 6, 4, 9, 8, 9, 3, 9, 5, 9],\n[8, 4, 5, 5, 6, 6, 5, 4, 5, 8, 8, 8, 3, 6, 9, 3, 6, 9, 4, 9, 9, 3, 8],\n[4, 6, 3, 6, 9, 4, 3, 3, 4, 6, 3, 8, 6, 5, 4, 5, 3, 8, 5, 8, 8, 5, 6],\n[4, 5, 8, 6, 6, 6, 3, 4, 3, 8, 3, 6, 3, 3, 9, 3, 6, 9, 3, 5, 4, 3, 4],\n[6, 5, 9, 5, 6, 5, 5, 9, 6, 3, 9, 9, 5, 5, 3, 8, 3, 3, 9, 5, 4, 8, 6],\n[8, 4, 5, 4, 6, 3, 9, 9, 9, 5, 3, 4, 3, 3, 4, 5, 5, 6, 3, 4, 3, 8, 9],\n[9, 3, 5, 9, 5, 4, 9, 6, 6, 5, 5, 9, 3, 6, 5, 8, 9, 5, 4, 3, 6, 4, 4],\n[4, 8, 9, 6, 9, 9, 6, 5, 4, 4, 8, 6, 8, 9, 3, 4, 4, 6, 3, 4, 4, 8, 9],\n[5, 5, 6, 4, 8, 3, 9, 9, 5, 6, 3, 3, 9, 6, 8, 5, 9, 3, 3, 6, 4, 4, 5],\n[6, 6, 8, 4, 3, 5, 3, 4, 5, 3, 6, 4, 5, 6, 5, 9, 3, 5, 6, 4, 4, 5, 5],\n[9, 6, 4, 5, 9, 8, 5, 8, 4, 4, 3, 3, 4, 9, 5, 5, 4, 3, 9, 6, 3, 3, 9]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[3, 4, 2, 3, 9, 9, 2, 2, 3, 1, 1, 4, 8, 3, 1, 1, 8, 9, 4, 9, 1, 2, 8],\n[9, 2, 4, 4, 1, 3, 9, 8, 4, 2, 9, 4, 3, 2, 2, 9, 8, 3, 2, 2, 1, 1, 8],\n[2, 8, 4, 8, 2, 8, 8, 3, 4, 4, 8, 3, 4, 3, 3, 4, 1, 4, 4, 9, 9, 9, 4],\n[4, 3, 9, 4, 4, 8, 8, 8, 3, 8, 8, 4, 2, 1, 9, 3, 8, 2, 8, 2, 9, 4, 2],\n[2, 1, 3, 3, 9, 9, 1, 9, 9, 8, 8, 9, 9, 3, 8, 1, 2, 1, 9, 8, 1, 8, 2],\n[4, 9, 2, 2, 3, 2, 3, 1, 8, 3, 3, 3, 4, 8, 8, 1, 1, 2, 3, 9, 1, 9, 1],\n[1, 8, 2, 3, 8, 2, 8, 8, 9, 2, 4, 1, 9, 8, 2, 3, 8, 9, 8, 4, 8, 1, 8],\n[9, 3, 1, 1, 2, 2, 1, 3, 1, 9, 9, 9, 4, 2, 8, 4, 2, 8, 3, 8, 8, 4, 9],\n[3, 2, 4, 2, 8, 3, 4, 4, 3, 2, 4, 9, 2, 1, 3, 1, 4, 9, 1, 9, 9, 1, 2],\n[3, 1, 9, 2, 2, 2, 4, 3, 4, 9, 4, 2, 4, 4, 8, 4, 2, 8, 4, 1, 3, 4, 3],\n[2, 1, 8, 1, 2, 1, 1, 8, 2, 4, 8, 8, 1, 1, 4, 9, 4, 4, 8, 1, 3, 9, 2],\n[9, 3, 1, 3, 2, 4, 8, 8, 8, 1, 4, 3, 4, 4, 3, 1, 1, 2, 4, 3, 4, 9, 8],\n[8, 4, 1, 8, 1, 3, 8, 2, 2, 1, 1, 8, 4, 2, 1, 9, 8, 1, 3, 4, 2, 3, 3],\n[3, 9, 8, 2, 8, 8, 2, 1, 3, 3, 9, 2, 9, 8, 4, 3, 3, 2, 4, 3, 3, 9, 8],\n[1, 1, 2, 3, 9, 4, 8, 8, 1, 2, 4, 4, 8, 2, 9, 1, 8, 4, 4, 2, 3, 3, 1],\n[2, 2, 9, 3, 4, 1, 4, 3, 1, 4, 2, 3, 1, 2, 1, 8, 4, 1, 2, 3, 3, 1, 1],\n[8, 2, 3, 1, 8, 9, 1, 9, 3, 3, 4, 4, 3, 8, 1, 1, 3, 4, 8, 2, 4, 4, 8]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[5, 9, 9, 5, 3, 1, 2, 1, 2, 3, 9, 3, 2, 3, 5, 5, 1, 3, 2, 1, 4, 2, 5, 2, 4, 9],\n[4, 2, 1, 3, 5, 4, 1, 2, 3, 4, 1, 4, 2, 5, 9, 3, 3, 1, 2, 4, 2, 1, 4, 2, 4, 1],\n[5, 9, 3, 5, 2, 2, 3, 1, 1, 2, 5, 3, 1, 2, 4, 4, 2, 2, 1, 1, 4, 9, 3, 4, 2, 9],\n[5, 4, 4, 1, 2, 2, 1, 9, 4, 5, 3, 5, 3, 3, 3, 4, 1, 2, 5, 4, 2, 3, 4, 1, 1, 5],\n[5, 4, 1, 9, 1, 1, 2, 4, 4, 5, 1, 3, 2, 2, 5, 3, 5, 5, 9, 3, 3, 1, 1, 2, 1, 5],\n[9, 5, 3, 4, 3, 4, 3, 1, 1, 4, 3, 5, 1, 1, 2, 2, 4, 1, 2, 9, 2, 5, 1, 9, 9, 4],\n[4, 5, 2, 1, 5, 1, 4, 5, 1, 1, 4, 9, 3, 5, 3, 2, 5, 1, 9, 1, 3, 1, 9, 2, 1, 5],\n[4, 5, 4, 2, 2, 1, 4, 1, 1, 2, 5, 4, 4, 3, 1, 1, 1, 9, 5, 9, 9, 2, 3, 4, 3, 1],\n[5, 4, 2, 1, 9, 3, 4, 3, 4, 3, 5, 9, 4, 2, 2, 1, 2, 3, 2, 5, 5, 1, 3, 5, 3, 4],\n[2, 4, 2, 9, 1, 5, 4, 9, 9, 1, 9, 2, 4, 2, 3, 9, 4, 4, 9, 2, 4, 3, 1, 5, 4, 9],\n[9, 4, 3, 4, 4, 5, 1, 2, 9, 2, 3, 4, 1, 1, 4, 9, 4, 1, 1, 3, 5, 4, 9, 9, 5, 4],\n[1, 4, 4, 4, 3, 2, 2, 3, 2, 2, 5, 4, 1, 2, 1, 4, 9, 2, 5, 4, 3, 4, 5, 2, 5, 9],\n[9, 3, 2, 1, 1, 5, 1, 1, 1, 9, 3, 5, 2, 4, 4, 2, 2, 5, 2, 9, 2, 4, 4, 4, 5, 2],\n[9, 5, 9, 3, 5, 1, 2, 1, 1, 3, 5, 4, 9, 2, 5, 5, 3, 4, 4, 9, 9, 2, 4, 5, 9, 3],\n[5, 1, 5, 3, 3, 4, 4, 5, 2, 1, 9, 1, 5, 3, 4, 2, 5, 1, 9, 5, 1, 9, 3, 3, 4, 5],\n[1, 9, 9, 3, 1, 1, 3, 2, 2, 4, 2, 2, 9, 2, 1, 2, 5, 2, 2, 4, 3, 9, 9, 4, 4, 4],\n[2, 4, 3, 3, 9, 4, 9, 1, 2, 4, 9, 9, 3, 2, 1, 2, 9, 4, 4, 3, 4, 2, 3, 4, 2, 9],\n[5, 4, 1, 4, 4, 1, 4, 4, 5, 4, 4, 9, 2, 3, 2, 9, 4, 4, 9, 4, 2, 4, 1, 4, 2, 5],\n[2, 9, 9, 1, 4, 9, 2, 4, 5, 5, 1, 2, 3, 1, 3, 2, 3, 5, 3, 4, 1, 3, 1, 2, 4, 4],\n[4, 9, 9, 9, 5, 3, 5, 2, 4, 1, 3, 9, 1, 3, 2, 9, 5, 1, 1, 5, 9, 3, 5, 5, 5, 2],\n[4, 5, 3, 3, 2, 4, 1, 1, 1, 9, 3, 4, 4, 9, 1, 5, 4, 5, 5, 1, 9, 5, 2, 3, 2, 9],\n[4, 9, 5, 4, 5, 9, 1, 5, 1, 2, 4, 3, 2, 3, 5, 3, 5, 4, 4, 4, 9, 4, 4, 3, 4, 3],\n[4, 4, 4, 9, 2, 1, 3, 2, 9, 1, 1, 1, 4, 2, 3, 9, 1, 1, 1, 5, 9, 9, 2, 3, 2, 1],\n[2, 2, 2, 4, 9, 1, 5, 3, 5, 4, 2, 9, 9, 4, 9, 2, 4, 3, 1, 4, 4, 2, 4, 4, 4, 1],\n[5, 1, 1, 5, 5, 2, 4, 3, 3, 2, 2, 1, 4, 3, 9, 9, 3, 9, 5, 3, 4, 5, 2, 3, 3, 4],\n[2, 1, 1, 3, 9, 9, 1, 9, 3, 3, 2, 1, 2, 3, 1, 1, 2, 1, 2, 5, 4, 5, 2, 2, 4, 2],\n[5, 2, 5, 1, 1, 9, 4, 1, 2, 9, 1, 9, 3, 4, 3, 1, 5, 3, 2, 9, 4, 2, 3, 1, 5, 1]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[1, 8, 8, 1, 4, 5, 6, 5, 6, 4, 8, 4, 6, 4, 1, 1, 5, 4, 6, 5, 3, 6, 1, 6, 3, 8],\n[3, 6, 5, 4, 1, 3, 5, 6, 4, 3, 5, 3, 6, 1, 8, 4, 4, 5, 6, 3, 6, 5, 3, 6, 3, 5],\n[1, 8, 4, 1, 6, 6, 4, 5, 5, 6, 1, 4, 5, 6, 3, 3, 6, 6, 5, 5, 3, 8, 4, 3, 6, 8],\n[1, 3, 3, 5, 6, 6, 5, 8, 3, 1, 4, 1, 4, 4, 4, 3, 5, 6, 1, 3, 6, 4, 3, 5, 5, 1],\n[1, 3, 5, 8, 5, 5, 6, 3, 3, 1, 5, 4, 6, 6, 1, 4, 1, 1, 8, 4, 4, 5, 5, 6, 5, 1],\n[8, 1, 4, 3, 4, 3, 4, 5, 5, 3, 4, 1, 5, 5, 6, 6, 3, 5, 6, 8, 6, 1, 5, 8, 8, 3],\n[3, 1, 6, 5, 1, 5, 3, 1, 5, 5, 3, 8, 4, 1, 4, 6, 1, 5, 8, 5, 4, 5, 8, 6, 5, 1],\n[3, 1, 3, 6, 6, 5, 3, 5, 5, 6, 1, 3, 3, 4, 5, 5, 5, 8, 1, 8, 8, 6, 4, 3, 4, 5],\n[1, 3, 6, 5, 8, 4, 3, 4, 3, 4, 1, 8, 3, 6, 6, 5, 6, 4, 6, 1, 1, 5, 4, 1, 4, 3],\n[6, 3, 6, 8, 5, 1, 3, 8, 8, 5, 8, 6, 3, 6, 4, 8, 3, 3, 8, 6, 3, 4, 5, 1, 3, 8],\n[8, 3, 4, 3, 3, 1, 5, 6, 8, 6, 4, 3, 5, 5, 3, 8, 3, 5, 5, 4, 1, 3, 8, 8, 1, 3],\n[5, 3, 3, 3, 4, 6, 6, 4, 6, 6, 1, 3, 5, 6, 5, 3, 8, 6, 1, 3, 4, 3, 1, 6, 1, 8],\n[8, 4, 6, 5, 5, 1, 5, 5, 5, 8, 4, 1, 6, 3, 3, 6, 6, 1, 6, 8, 6, 3, 3, 3, 1, 6],\n[8, 1, 8, 4, 1, 5, 6, 5, 5, 4, 1, 3, 8, 6, 1, 1, 4, 3, 3, 8, 8, 6, 3, 1, 8, 4],\n[1, 5, 1, 4, 4, 3, 3, 1, 6, 5, 8, 5, 1, 4, 3, 6, 1, 5, 8, 1, 5, 8, 4, 4, 3, 1],\n[5, 8, 8, 4, 5, 5, 4, 6, 6, 3, 6, 6, 8, 6, 5, 6, 1, 6, 6, 3, 4, 8, 8, 3, 3, 3],\n[6, 3, 4, 4, 8, 3, 8, 5, 6, 3, 8, 8, 4, 6, 5, 6, 8, 3, 3, 4, 3, 6, 4, 3, 6, 8],\n[1, 3, 5, 3, 3, 5, 3, 3, 1, 3, 3, 8, 6, 4, 6, 8, 3, 3, 8, 3, 6, 3, 5, 3, 6, 1],\n[6, 8, 8, 5, 3, 8, 6, 3, 1, 1, 5, 6, 4, 5, 4, 6, 4, 1, 4, 3, 5, 4, 5, 6, 3, 3],\n[3, 8, 8, 8, 1, 4, 1, 6, 3, 5, 4, 8, 5, 4, 6, 8, 1, 5, 5, 1, 8, 4, 1, 1, 1, 6],\n[3, 1, 4, 4, 6, 3, 5, 5, 5, 8, 4, 3, 3, 8, 5, 1, 3, 1, 1, 5, 8, 1, 6, 4, 6, 8],\n[3, 8, 1, 3, 1, 8, 5, 1, 5, 6, 3, 4, 6, 4, 1, 4, 1, 3, 3, 3, 8, 3, 3, 4, 3, 4],\n[3, 3, 3, 8, 6, 5, 4, 6, 8, 5, 5, 5, 3, 6, 4, 8, 5, 5, 5, 1, 8, 8, 6, 4, 6, 5],\n[6, 6, 6, 3, 8, 5, 1, 4, 1, 3, 6, 8, 8, 3, 8, 6, 3, 4, 5, 3, 3, 6, 3, 3, 3, 5],\n[1, 5, 5, 1, 1, 6, 3, 4, 4, 6, 6, 5, 3, 4, 8, 8, 4, 8, 1, 4, 3, 1, 6, 4, 4, 3],\n[6, 5, 5, 4, 8, 8, 5, 8, 4, 4, 6, 5, 6, 4, 5, 5, 6, 5, 6, 1, 3, 1, 6, 6, 3, 6],\n[1, 6, 1, 5, 5, 8, 3, 5, 6, 8, 5, 8, 4, 3, 4, 5, 1, 4, 6, 8, 3, 6, 4, 5, 1, 5]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[1, 9, 1, 1, 2, 5, 5, 4, 4, 4, 8, 9, 1, 1, 5, 4, 5, 1, 1, 3, 5, 9, 5, 2],\n[4, 4, 3, 1, 1, 9, 3, 1, 2, 1, 9, 2, 4, 3, 4, 4, 2, 2, 1, 9, 9, 2, 3, 4],\n[5, 4, 8, 9, 4, 3, 3, 2, 3, 9, 5, 3, 3, 5, 4, 8, 3, 5, 3, 4, 1, 2, 4, 8],\n[8, 3, 3, 3, 3, 2, 2, 4, 5, 3, 2, 8, 3, 1, 9, 1, 1, 9, 4, 3, 3, 9, 5, 1],\n[3, 2, 9, 4, 5, 1, 2, 5, 8, 5, 5, 8, 1, 5, 5, 8, 2, 1, 2, 9, 5, 9, 2, 9],\n[5, 3, 8, 3, 1, 1, 5, 8, 1, 2, 3, 4, 2, 2, 1, 9, 9, 5, 1, 1, 9, 2, 1, 8],\n[8, 4, 4, 5, 9, 4, 5, 9, 5, 2, 2, 5, 9, 5, 1, 3, 8, 8, 9, 8, 2, 9, 9, 2],\n[4, 8, 4, 2, 5, 8, 1, 3, 8, 3, 2, 2, 1, 1, 5, 9, 8, 1, 8, 8, 4, 3, 4, 5],\n[1, 8, 9, 4, 4, 9, 3, 9, 3, 4, 4, 1, 4, 5, 9, 9, 8, 8, 4, 9, 3, 8, 3, 8],\n[4, 3, 8, 1, 1, 3, 4, 2, 4, 3, 1, 3, 5, 5, 1, 5, 3, 9, 3, 5, 4, 5, 2, 2],\n[4, 4, 1, 1, 2, 4, 4, 2, 3, 5, 3, 4, 3, 2, 1, 5, 4, 3, 9, 2, 2, 4, 9, 9],\n[2, 2, 4, 1, 1, 3, 9, 5, 2, 4, 1, 5, 5, 2, 1, 9, 2, 1, 9, 2, 3, 8, 9, 2],\n[9, 8, 3, 4, 1, 9, 1, 1, 4, 3, 1, 2, 3, 3, 1, 9, 5, 3, 3, 5, 5, 1, 8, 8]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[5, 8, 5, 5, 6, 1, 1, 3, 3, 3, 9, 8, 5, 5, 1, 3, 1, 5, 5, 4, 1, 8, 1, 6],\n[3, 3, 4, 5, 5, 8, 4, 5, 6, 5, 8, 6, 3, 4, 3, 3, 6, 6, 5, 8, 8, 6, 4, 3],\n[1, 3, 9, 8, 3, 4, 4, 6, 4, 8, 1, 4, 4, 1, 3, 9, 4, 1, 4, 3, 5, 6, 3, 9],\n[9, 4, 4, 4, 4, 6, 6, 3, 1, 4, 6, 9, 4, 5, 8, 5, 5, 8, 3, 4, 4, 8, 1, 5],\n[4, 6, 8, 3, 1, 5, 6, 1, 9, 1, 1, 9, 5, 1, 1, 9, 6, 5, 6, 8, 1, 8, 6, 8],\n[1, 4, 9, 4, 5, 5, 1, 9, 5, 6, 4, 3, 6, 6, 5, 8, 8, 1, 5, 5, 8, 6, 5, 9],\n[9, 3, 3, 1, 8, 3, 1, 8, 1, 6, 6, 1, 8, 1, 5, 4, 9, 9, 8, 9, 6, 8, 8, 6],\n[3, 9, 3, 6, 1, 9, 5, 4, 9, 4, 6, 6, 5, 5, 1, 8, 9, 5, 9, 9, 3, 4, 3, 1],\n[5, 9, 8, 3, 3, 8, 4, 8, 4, 3, 3, 5, 3, 1, 8, 8, 9, 9, 3, 8, 4, 9, 4, 9],\n[3, 4, 9, 5, 5, 4, 3, 6, 3, 4, 5, 4, 1, 1, 5, 1, 4, 8, 4, 1, 3, 1, 6, 6],\n[3, 3, 5, 5, 6, 3, 3, 6, 4, 1, 4, 3, 4, 6, 5, 1, 3, 4, 8, 6, 6, 3, 8, 8],\n[6, 6, 3, 5, 5, 4, 8, 1, 6, 3, 5, 1, 1, 6, 5, 8, 6, 5, 8, 6, 4, 9, 8, 6],\n[8, 9, 4, 3, 5, 8, 5, 5, 3, 4, 5, 6, 4, 4, 5, 8, 1, 4, 4, 1, 1, 5, 9, 9]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[6, 6, 4, 2, 2, 5, 4, 1, 8, 9, 5, 5, 5, 4],\n[1, 1, 1, 2, 6, 8, 4, 8, 8, 9, 4, 4, 5, 2],\n[2, 4, 9, 6, 6, 2, 5, 1, 1, 4, 2, 9, 2, 5],\n[5, 9, 6, 8, 1, 8, 8, 9, 2, 2, 5, 9, 6, 8],\n[1, 2, 4, 2, 2, 6, 6, 8, 6, 2, 9, 5, 5, 1],\n[8, 8, 5, 8, 1, 4, 9, 2, 4, 2, 1, 1, 4, 9],\n[1, 4, 2, 4, 2, 8, 2, 8, 4, 6, 9, 6, 5, 4],\n[8, 5, 6, 6, 6, 5, 5, 9, 1, 9, 5, 8, 1, 9],\n[6, 2, 2, 6, 9, 6, 9, 5, 6, 4, 5, 1, 1, 9],\n[9, 8, 6, 5, 1, 5, 8, 9, 8, 1, 4, 5, 4, 9],\n[1, 6, 2, 6, 4, 1, 8, 8, 4, 6, 4, 9, 5, 4],\n[9, 8, 5, 9, 4, 4, 4, 8, 2, 2, 8, 9, 6, 4],\n[6, 6, 8, 6, 6, 5, 1, 5, 6, 1, 8, 1, 5, 4],\n[5, 8, 4, 1, 1, 8, 5, 6, 5, 2, 6, 5, 4, 4],\n[1, 2, 5, 2, 6, 5, 2, 2, 2, 1, 2, 5, 5, 5],\n[2, 5, 9, 4, 8, 9, 9, 2, 9, 1, 2, 8, 2, 1],\n[4, 2, 8, 2, 4, 9, 9, 8, 4, 8, 9, 4, 5, 9],\n[6, 4, 5, 9, 9, 8, 9, 4, 4, 6, 4, 2, 6, 4],\n[1, 6, 5, 5, 5, 2, 5, 2, 4, 2, 6, 5, 1, 1],\n[8, 6, 5, 1, 9, 5, 9, 4, 2, 4, 2, 1, 4, 1],\n[9, 5, 2, 9, 4, 9, 2, 8, 1, 5, 9, 4, 5, 5],\n[8, 1, 4, 1, 8, 9, 5, 6, 6, 4, 6, 4, 5, 8]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[6, 6, 4, 2, 2, 5, 4, 1, 8, 9, 5, 5, 5, 4], [1, 1, 1, 2, 6, 8, 4, 8, 8, 9, 4, 4, 5, 2], [2, 4, 9, 6, 6, 2, 5, 1, 1, 4, 2, 9, 2, 5], [5, 9, 6, 8, 1, 8, 8, 9, 2, 2, 5, 9, 6, 8], [1, 2, 4, 2, 2, 6, 6, 8, 6, 2, 9, 5, 5, 1], [8, 8, 5, 8, 1, 4, 9, 2, 4, 2, 1, 1, 4, 9], [1, 4, 2, 4, 2, 8, 2, 8, 4, 6, 9, 6, 5, 4], [8, 5, 6, 6, 6, 5, 5, 9, 1, 9, 5, 8, 1, 9], [6, 2, 2, 6, 9, 6, 9, 5, 6, 4, 5, 1, 1, 9], [9, 8, 6, 5, 1, 5, 8, 9, 8, 1, 4, 5, 4, 9], [1, 6, 2, 6, 4, 1, 8, 8, 4, 6, 4, 9, 5, 4], [9, 8, 5, 9, 4, 4, 4, 8, 2, 2, 8, 9, 6, 4], [6, 6, 8, 6, 6, 5, 1, 5, 6, 1, 8, 1, 5, 4], [5, 8, 4, 1, 1, 8, 5, 6, 5, 2, 6, 5, 4, 4], [1, 2, 5, 2, 6, 5, 2, 2, 2, 1, 2, 5, 5, 5], [2, 5, 9, 4, 8, 9, 9, 2, 9, 1, 2, 8, 2, 1], [4, 2, 8, 2, 4, 9, 9, 8, 4, 8, 9, 4, 5, 9], [6, 4, 5, 9, 9, 8, 9, 4, 4, 6, 4, 2, 6, 4], [1, 6, 5, 5, 5, 2, 5, 2, 4, 2, 6, 5, 1, 1], [8, 6, 5, 1, 9, 5, 9, 4, 2, 4, 2, 1, 4, 1], [9, 5, 2, 9, 4, 9, 2, 8, 1, 5, 9, 4, 5, 5], [8, 1, 4, 1, 8, 9, 5, 6, 6, 4, 6, 4, 5, 8]], "task_key": "0d3d703e"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4],\n[4, 4, 4, 4, 4, 4, 6, 4, 6, 6, 4, 6, 6, 6, 4, 4],\n[4, 4, 4, 4, 4, 4, 6, 6, 4, 6, 4, 4, 6, 6, 4, 4],\n[4, 4, 4, 4, 4, 4, 6, 6, 6, 4, 6, 6, 6, 6, 4, 4],\n[6, 0, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4],\n[0, 6, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4],\n[4, 4, 4, 4, 4, 4, 6, 6, 6, 4, 6, 6, 6, 6, 4, 4],\n[4, 4, 4, 4, 4, 4, 6, 6, 6, 4, 4, 6, 6, 6, 4, 4],\n[4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 4, 4],\n[6, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 6, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 1, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 1, 6, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 0, 1, 6, 1, 6, 6],\n[6, 0, 6, 1, 6, 6, 6, 6],\n[6, 6, 6, 6, 1, 1, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 2, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5],\n[5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5],\n[5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5],\n[5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5],\n[5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5],\n[5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5],\n[5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5],\n[5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5],\n[5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5],\n[5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[8, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 4, 4, 4, 1, 8, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 1, 1, 4, 1, 8, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[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[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[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[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[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[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[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[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[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[8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 8, 8, 8, 4, 4, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 4, 4, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 4, 4, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[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, 4, 4, 4, 1, 8, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 4, 4, 4, 4, 8, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 1, 1, 4, 1, 8, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 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, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 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, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 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, 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, 4, 4, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 4, 4, 8, 8, 8, 4, 4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8, 4, 4, 8, 8, 8, 8, 4, 8, 8, 8, 8, 8], [8, 8, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 4, 4, 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, 8, 8, 8, 8, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8]], "task_key": "97a05b5b"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[4, 7, 5, 2, 5, 5, 9, 5, 8, 8, 8, 8, 8, 8, 8, 8],\n[7, 5, 7, 5, 9, 6, 5, 2, 8, 8, 8, 8, 8, 8, 8, 8],\n[5, 9, 2, 7, 4, 5, 6, 4, 8, 8, 8, 8, 8, 8, 8, 8],\n[9, 5, 9, 7, 9, 2, 2, 4, 8, 8, 8, 8, 8, 8, 8, 8],\n[5, 2, 2, 6, 7, 4, 5, 6, 8, 8, 8, 8, 8, 8, 8, 8],\n[9, 2, 9, 2, 9, 5, 9, 5, 8, 8, 8, 8, 8, 8, 8, 8],\n[9, 4, 5, 7, 7, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8],\n[4, 6, 9, 4, 9, 2, 6, 6, 8, 8, 8, 8, 8, 8, 8, 8],\n[7, 4, 4, 5, 5, 4, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8],\n[2, 2, 2, 7, 7, 2, 4, 7, 8, 8, 8, 8, 8, 8, 8, 8],\n[7, 7, 5, 9, 4, 5, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[2, 6, 9, 6, 7, 2, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[5, 7, 4, 7, 2, 4, 6, 9, 8, 8, 8, 8, 8, 8, 8, 8],\n[9, 2, 7, 7, 7, 6, 4, 6, 8, 8, 8, 8, 8, 8, 8, 8],\n[2, 2, 7, 5, 7, 2, 5, 2, 8, 8, 8, 8, 8, 8, 8, 8],\n[6, 6, 7, 4, 7, 4, 6, 9, 8, 8, 8, 8, 8, 8, 8, 8],\n[5, 6, 2, 7, 9, 2, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[2, 6, 2, 5, 6, 5, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[6, 6, 6, 2, 6, 7, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[4, 6, 5, 2, 9, 7, 2, 4, 8, 8, 8, 8, 8, 8, 8, 8],\n[7, 9, 6, 4, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[2, 4, 2, 7, 9, 2, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[5, 7, 5, 5, 5, 5, 2, 4, 8, 8, 8, 8, 8, 8, 8, 8],\n[2, 5, 5, 9, 9, 7, 4, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[6, 2, 5, 7, 4, 2, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[2, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[4, 7, 5, 2, 5, 5, 9, 5, 5, 9, 5, 5, 2, 5, 7, 4],\n[7, 5, 7, 5, 9, 6, 5, 2, 2, 5, 6, 9, 5, 7, 5, 7],\n[5, 9, 2, 7, 4, 5, 6, 4, 4, 6, 5, 4, 7, 2, 9, 5],\n[9, 5, 9, 7, 9, 2, 2, 4, 4, 2, 2, 9, 7, 9, 5, 9],\n[5, 2, 2, 6, 7, 4, 5, 6, 6, 5, 4, 7, 6, 2, 2, 5],\n[9, 2, 9, 2, 9, 5, 9, 5, 5, 9, 5, 9, 2, 9, 2, 9],\n[9, 4, 5, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 5, 4, 9],\n[4, 6, 9, 4, 9, 2, 6, 6, 6, 6, 2, 9, 4, 9, 6, 4],\n[7, 4, 4, 5, 5, 4, 9, 9, 9, 9, 4, 5, 5, 4, 4, 7],\n[2, 2, 2, 7, 7, 2, 4, 7, 7, 4, 2, 7, 7, 2, 2, 2],\n[7, 7, 5, 9, 4, 5, 9, 8, 8, 9, 5, 4, 9, 5, 7, 7],\n[2, 6, 9, 6, 7, 2, 7, 8, 8, 7, 2, 7, 6, 9, 6, 2],\n[5, 7, 4, 7, 2, 4, 6, 9, 9, 6, 4, 2, 7, 4, 7, 5],\n[9, 2, 7, 7, 7, 6, 4, 6, 6, 4, 6, 7, 7, 7, 2, 9],\n[2, 2, 7, 5, 7, 2, 5, 2, 2, 5, 2, 7, 5, 7, 2, 2],\n[6, 6, 7, 4, 7, 4, 6, 9, 9, 6, 4, 7, 4, 7, 6, 6],\n[5, 6, 2, 7, 9, 2, 7, 8, 8, 7, 2, 9, 7, 2, 6, 5],\n[2, 6, 2, 5, 6, 5, 4, 8, 8, 4, 5, 6, 5, 2, 6, 2],\n[6, 6, 6, 2, 6, 7, 9, 8, 8, 9, 7, 6, 2, 6, 6, 6],\n[4, 6, 5, 2, 9, 7, 2, 4, 4, 2, 7, 9, 2, 5, 6, 4],\n[7, 9, 6, 4, 4, 8, 8, 8, 8, 8, 8, 4, 4, 6, 9, 7],\n[2, 4, 2, 7, 9, 2, 5, 8, 8, 5, 2, 9, 7, 2, 4, 2],\n[5, 7, 5, 5, 5, 5, 2, 4, 4, 2, 5, 5, 5, 5, 7, 5],\n[2, 5, 5, 9, 9, 7, 4, 8, 8, 4, 7, 9, 9, 5, 5, 2],\n[6, 2, 5, 7, 4, 2, 6, 8, 8, 6, 2, 4, 7, 5, 2, 6],\n[2, 6, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 6, 2],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[3, 4, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[3, 2, 5, 3, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[1, 8, 9, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[5, 1, 5, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[9, 4, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[1, 7, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[8, 8, 8, 5, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[1, 8, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[7, 9, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[3, 4, 2, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 2, 4, 3],\n[3, 2, 5, 3, 9, 6, 6, 6, 6, 6, 6, 6, 6, 9, 3, 5, 2, 3],\n[1, 8, 9, 8, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 8, 9, 8, 1],\n[5, 1, 5, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 5, 1, 5],\n[9, 4, 5, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 5, 4, 9],\n[1, 7, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 7, 1],\n[8, 8, 8, 5, 8, 6, 6, 6, 6, 6, 6, 6, 6, 8, 5, 8, 8, 8],\n[1, 8, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 8, 1],\n[7, 9, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 9, 7]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[9, 8, 5, 8, 8, 3, 1, 1, 1, 1, 1, 1, 1, 1],\n[3, 8, 3, 3, 9, 7, 1, 1, 1, 1, 1, 1, 1, 1],\n[2, 5, 2, 2, 2, 8, 1, 1, 1, 1, 1, 1, 1, 1],\n[8, 5, 5, 8, 9, 8, 9, 1, 1, 1, 1, 1, 1, 1],\n[5, 5, 7, 7, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[7, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[2, 9, 8, 8, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[8, 2, 8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[9, 8, 5, 8, 8, 3, 1, 1, 3, 8, 8, 5, 8, 9],\n[3, 8, 3, 3, 9, 7, 1, 1, 7, 9, 3, 3, 8, 3],\n[2, 5, 2, 2, 2, 8, 1, 1, 8, 2, 2, 2, 5, 2],\n[8, 5, 5, 8, 9, 8, 9, 9, 8, 9, 8, 5, 5, 8],\n[5, 5, 7, 7, 8, 1, 1, 1, 1, 8, 7, 7, 5, 5],\n[7, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 7],\n[2, 9, 8, 8, 3, 1, 1, 1, 1, 3, 8, 8, 9, 2],\n[8, 2, 8, 8, 1, 1, 1, 1, 1, 1, 8, 8, 2, 8],\n[8, 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 8, 8],\n[9, 9, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1],\n[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[1, 1, 2, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[6, 2, 6, 2, 2, 1, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[6, 2, 1, 6, 6, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[1, 1, 2, 6, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[1, 2, 1, 1, 1, 2, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[6, 6, 1, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[2, 6, 6, 6, 2, 1, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[1, 1, 1, 2, 2, 6, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[6, 1, 2, 2, 6, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[6, 1, 2, 1, 1, 1, 6, 1, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[6, 6, 1, 6, 6, 6, 1, 6, 2, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[2, 1, 2, 6, 1, 1, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[6, 1, 1, 2, 6, 2, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[1, 1, 6, 1, 6, 2, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[1, 2, 6, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[2, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[2, 6, 6, 2, 6, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[2, 1, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4],\n[1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [1, 1, 2, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 2, 6, 2, 2, 1, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 2, 1, 6, 6, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [1, 1, 2, 6, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [1, 2, 1, 1, 1, 2, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 1, 6, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 6, 6, 6, 2, 1, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [1, 1, 1, 2, 2, 6, 1, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 1, 2, 2, 6, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 1, 2, 1, 1, 1, 6, 1, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 6, 1, 6, 6, 6, 1, 6, 2, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 1, 2, 6, 1, 1, 6, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 1, 1, 2, 6, 2, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [1, 1, 6, 1, 6, 2, 1, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [1, 2, 6, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 1, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 6, 6, 2, 6, 1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [2, 1, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], [1, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4]], "task_key": "f25ffba3"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[0, 0, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0],\n[0, 0, 8, 0, 8, 8, 0, 0, 0, 8, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0],\n[0, 0, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 8, 8, 0, 0, 8, 0, 8, 0, 8],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8],\n[0, 0, 0, 0, 0, 7, 8, 8, 8, 8, 0, 0, 0, 6, 6, 0, 0, 8, 8, 8, 0, 8, 0, 8, 0, 8],\n[4, 0, 0, 0, 0, 7, 8, 0, 0, 8, 0, 0, 0, 6, 6, 0, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8],\n[4, 0, 0, 0, 0, 7, 8, 0, 0, 8, 0, 0, 0, 6, 6, 0, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8],\n[0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 0, 0, 0, 6, 6, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 2, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 1, 0, 0, 5, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1, 1, 0, 0, 5, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[0, 0, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0],\n[0, 0, 8, 2, 8, 8, 0, 0, 0, 8, 8, 5, 5, 8, 0, 0, 0, 0, 0, 0, 0, 8, 4, 8, 0, 0],\n[0, 0, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 4, 8, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 8, 8, 5, 5, 8, 0, 8, 7, 8],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 5, 8, 0, 8, 7, 8],\n[0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 5, 8, 0, 8, 7, 8],\n[0, 0, 0, 0, 0, 0, 8, 6, 6, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8],\n[0, 0, 0, 0, 0, 0, 8, 6, 6, 8, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8],\n[0, 0, 0, 0, 0, 0, 8, 6, 6, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 8, 6, 6, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 7, 7, 7, 7, 8, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[5, 5, 5, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[5, 5, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 9, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 9, 0, 0, 0, 6, 0, 6, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 9, 0, 0, 0, 6, 0, 6, 8, 8, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0],\n[0, 0, 0, 0, 0, 9, 0, 0, 0, 6, 6, 6, 8, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0],\n[0, 7, 7, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0],\n[0, 7, 7, 6, 0, 6, 0, 0, 0, 0, 6, 0, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6],\n[0, 7, 7, 6, 0, 6, 0, 4, 4, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6],\n[0, 0, 0, 6, 0, 6, 4, 4, 4, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6],\n[0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 6, 0, 0, 0, 6],\n[0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 4, 4, 0, 6, 6, 6, 6, 6],\n[0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0],\n[0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 4, 4, 0, 0, 0],\n[0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0],\n[0, 7, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 6, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0],\n[3, 3, 3, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[5, 5, 5, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[5, 5, 0, 0, 0, 0, 9, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 7, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 7, 6, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 7, 6, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 7, 7, 6, 6, 6, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 7, 7, 6, 9, 6, 0, 0, 0, 0, 6, 3, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6],\n[0, 7, 7, 6, 9, 6, 0, 4, 4, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 6, 1, 1, 1, 6],\n[0, 0, 0, 6, 9, 6, 4, 4, 4, 0, 0, 0, 0, 5, 0, 5, 0, 0, 0, 0, 0, 6, 1, 1, 1, 6],\n[0, 0, 0, 6, 9, 6, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0, 6, 1, 1, 1, 6],\n[0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 5, 5, 0, 0, 0, 4, 4, 0, 6, 6, 6, 6, 6],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0, 0, 4, 4, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 6, 7, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 6, 7, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[3, 3, 3, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 2, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 8, 8, 8],\n[8, 8, 8, 2, 8, 5, 8, 5, 5, 8, 8, 8, 8, 8, 7, 8, 7, 8, 8, 8],\n[8, 8, 8, 2, 8, 5, 5, 5, 5, 8, 8, 8, 8, 8, 7, 7, 7, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 8],\n[8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 7, 8, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 3, 3, 3, 7, 8, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 2, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 2, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 8, 8, 8],\n[8, 8, 8, 8, 8, 5, 8, 5, 5, 8, 8, 8, 8, 8, 7, 3, 7, 8, 8, 8],\n[8, 8, 8, 8, 8, 5, 5, 5, 5, 8, 8, 8, 8, 8, 7, 7, 7, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 5, 5, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 7, 2, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 3, 3, 3, 7, 2, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[9, 9, 9, 9, 9, 9, 9, 9, 1, 9, 9, 9, 9, 6, 6, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 5, 5, 5, 5, 5, 5, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 5, 5, 5, 5, 9, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 5, 5, 5, 9, 9, 5, 9, 9, 9, 9, 9, 1, 1, 9, 9, 9, 9, 9, 5, 5, 5, 5, 9, 9, 9, 9],\n[9, 9, 5, 5, 5, 5, 9, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 5, 9, 9, 9, 9],\n[9, 9, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 9, 9, 5, 9, 9, 5, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 5, 9, 5, 9, 9, 5, 5, 5, 5, 9, 9, 9, 9],\n[5, 5, 5, 5, 5, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 5, 9, 5, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8],\n[5, 5, 9, 9, 5, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 5, 9, 5, 9, 9, 9, 9, 5, 5, 5, 8, 8, 8],\n[5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 9, 9, 9, 9, 5, 9, 5, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 5, 9, 9, 9],\n[9, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 9, 9, 9],\n[9, 5, 9, 9, 9, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 9],\n[9, 5, 9, 9, 9, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 9, 9, 9, 5, 9, 5, 9],\n[9, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 4, 9, 9, 9, 9, 9, 3, 9, 8, 8, 9, 9, 9, 5, 5, 5, 9],\n[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]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[9, 9, 9, 9, 9, 9, 9, 9, 1, 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, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 5, 5, 5, 5, 5, 5, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 5, 5, 5, 5, 9, 5, 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, 9, 9, 5, 9, 9, 9, 9, 9, 1, 1, 9, 9, 9, 9, 9, 5, 5, 5, 5, 9, 9, 9, 9], [9, 9, 5, 5, 5, 5, 9, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 9, 5, 9, 9, 9, 9], [9, 9, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 9, 9, 5, 9, 9, 5, 9, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 5, 9, 5, 9, 9, 5, 5, 5, 5, 9, 9, 9, 9], [5, 5, 5, 5, 5, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 5, 9, 5, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8], [5, 5, 9, 9, 5, 9, 9, 9, 0, 9, 9, 9, 9, 9, 9, 5, 9, 5, 9, 9, 9, 9, 5, 5, 5, 8, 8, 8], [5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 9, 9, 9, 9, 5, 9, 5, 9, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 9, 5, 9, 9, 9], [9, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 9, 9, 9], [9, 5, 9, 9, 9, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 5, 5, 5, 9], [9, 5, 9, 9, 9, 5, 5, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 3, 9, 9, 9, 9, 9, 9, 5, 9, 5, 9], [9, 5, 5, 5, 5, 5, 5, 9, 9, 9, 9, 4, 9, 9, 9, 9, 9, 3, 9, 8, 8, 9, 9, 9, 5, 5, 5, 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]], "task_key": "228f6490"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 7],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 7, 7],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7],\n[7, 7, 7, 7, 3, 7, 7, 3, 7, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 7, 7],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 7, 7, 7, 7, 7, 7, 7, 7, 7],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0],\n[0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 3, 0, 0],\n[0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 0, 0],\n[7, 7, 7, 7, 7, 7, 7, 7, 7, 3, 7, 7, 7, 7, 7, 7, 7, 0, 0],\n[7, 7, 7, 3, 7, 7, 7, 7, 7, 7, 7, 7, 3, 7, 7, 7, 7, 0, 0]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[8, 0, 0, 8, 0, 8, 0, 0, 8, 0, 8, 8, 8, 8, 0, 8, 0, 3, 3],\n[0, 8, 0, 0, 8, 0, 8, 8, 0, 0, 8, 8, 8, 0, 8, 0, 8, 3, 3],\n[0, 0, 8, 0, 0, 8, 8, 8, 0, 8, 8, 8, 8, 8, 0, 8, 8, 7, 7],\n[0, 0, 0, 8, 0, 8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8, 0, 7, 3],\n[7, 7, 7, 7, 3, 7, 7, 3, 3, 3, 7, 3, 7, 3, 3, 3, 7, 3, 3],\n[7, 7, 7, 3, 7, 3, 3, 3, 3, 7, 3, 7, 3, 3, 7, 3, 3, 3, 7],\n[7, 7, 3, 7, 7, 3, 3, 3, 7, 3, 7, 3, 3, 7, 7, 3, 3, 3, 7],\n[8, 8, 0, 0, 8, 8, 8, 8, 8, 0, 8, 8, 8, 0, 8, 8, 0, 8, 8],\n[8, 8, 0, 8, 8, 8, 0, 8, 8, 8, 8, 8, 0, 8, 8, 0, 0, 0, 8],\n[8, 0, 8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 8, 8, 0, 0, 0, 8],\n[8, 8, 8, 8, 0, 8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 8, 0, 8, 0],\n[8, 8, 8, 0, 8, 0, 8, 8, 0, 0, 8, 8, 0, 0, 8, 0, 8, 0, 0],\n[8, 8, 8, 8, 0, 8, 8, 0, 0, 8, 8, 0, 8, 7, 7, 3, 7, 8, 0],\n[8, 0, 8, 8, 8, 8, 8, 0, 8, 8, 0, 0, 0, 3, 3, 7, 3, 0, 8],\n[0, 8, 0, 8, 8, 8, 0, 8, 8, 0, 0, 0, 0, 3, 3, 7, 7, 8, 8],\n[8, 0, 8, 8, 0, 8, 8, 8, 8, 0, 0, 0, 8, 7, 7, 3, 3, 8, 8],\n[8, 8, 8, 8, 0, 8, 8, 8, 0, 8, 0, 8, 0, 7, 7, 3, 3, 0, 0],\n[8, 8, 0, 0, 8, 8, 0, 8, 8, 0, 8, 0, 0, 7, 3, 3, 7, 8, 0],\n[3, 7, 3, 3, 3, 3, 7, 7, 3, 3, 7, 3, 7, 3, 3, 7, 7, 0, 8],\n[7, 7, 3, 3, 7, 7, 3, 7, 3, 3, 3, 7, 3, 3, 7, 7, 7, 0, 0]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[3, 3, 3, 6, 6, 6, 6, 0, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6],\n[3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 6, 0],\n[3, 3, 3, 6, 6, 6, 9, 3, 3, 3, 6, 6, 3, 3, 6, 6, 6, 6],\n[3, 3, 3, 0, 6, 6, 3, 3, 3, 3, 6, 6, 3, 3, 6, 6, 6, 6],\n[3, 3, 3, 6, 6, 6, 3, 3, 3, 3, 6, 6, 3, 3, 6, 6, 6, 6],\n[3, 3, 3, 6, 6, 6, 3, 3, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6],\n[3, 3, 3, 6, 6, 0, 3, 3, 6, 6, 6, 6, 3, 3, 6, 6, 0, 6],\n[3, 9, 3, 6, 6, 6, 3, 3, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6],\n[3, 3, 3, 0, 6, 6, 3, 3, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6],\n[3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 3, 9, 6, 6, 6, 0],\n[3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6],\n[9, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 3, 3, 6, 6, 6, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[9, 3, 3, 6, 0, 6, 0, 0, 0, 6, 0, 0, 3, 3, 6, 6, 0, 6],\n[9, 9, 3, 6, 6, 0, 0, 0, 0, 0, 0, 0, 3, 3, 6, 6, 6, 0],\n[3, 9, 9, 6, 0, 0, 9, 3, 3, 9, 0, 6, 9, 3, 6, 6, 0, 6],\n[3, 3, 9, 0, 0, 0, 3, 9, 9, 3, 0, 0, 3, 9, 6, 0, 6, 6],\n[3, 3, 9, 0, 0, 6, 3, 9, 9, 3, 6, 0, 9, 3, 0, 6, 6, 6],\n[9, 9, 9, 0, 0, 0, 9, 3, 6, 0, 6, 6, 9, 9, 6, 0, 6, 0],\n[9, 9, 9, 6, 6, 0, 9, 3, 6, 6, 0, 6, 9, 9, 0, 6, 0, 6],\n[9, 9, 9, 6, 0, 6, 9, 9, 6, 6, 6, 0, 3, 3, 0, 0, 6, 0],\n[9, 3, 9, 0, 6, 6, 3, 9, 0, 6, 0, 6, 9, 3, 0, 0, 0, 6],\n[3, 3, 9, 9, 9, 3, 3, 3, 0, 0, 6, 6, 3, 9, 6, 6, 0, 0],\n[3, 9, 3, 3, 9, 9, 3, 3, 0, 0, 0, 6, 9, 3, 0, 6, 0, 0],\n[9, 3, 3, 3, 3, 9, 9, 9, 6, 6, 0, 0, 3, 3, 6, 0, 6, 6]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[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],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 3, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8],\n[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 3, 9, 9, 8, 8, 8],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 9, 9, 8, 8, 8],\n[9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 7, 9, 9, 9, 9, 9, 9, 9, 9, 9],\n[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],\n[8, 8, 8, 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[8, 8, 8, 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[8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[9, 9, 9, 9, 7, 9, 7, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 7, 9, 9, 9, 9, 7, 9, 7, 9, 9],\n[7, 9, 9, 9, 9, 7, 9, 7, 9, 9, 9, 9, 9, 9, 9, 7, 7, 9, 9, 9, 9, 7, 9, 7, 9, 9, 9],\n[9, 7, 9, 9, 9, 9, 7, 9, 7, 9, 9, 9, 9, 9, 9, 7, 7, 3, 8, 8, 3, 8, 7, 9, 9, 9, 7],\n[9, 9, 7, 9, 9, 9, 9, 7, 9, 7, 9, 9, 9, 9, 7, 9, 9, 3, 3, 3, 8, 3, 9, 9, 9, 7, 9],\n[8, 8, 8, 3, 8, 8, 8, 8, 3, 8, 3, 8, 8, 3, 8, 9, 9, 8, 3, 3, 3, 8, 9, 9, 7, 9, 9],\n[8, 8, 8, 8, 3, 8, 8, 8, 8, 3, 8, 3, 3, 8, 8, 9, 9, 3, 8, 3, 3, 8, 9, 7, 9, 9, 9],\n[8, 8, 8, 8, 8, 3, 8, 8, 8, 8, 3, 3, 3, 8, 8, 9, 7, 8, 3, 8, 3, 3, 7, 9, 9, 9, 7],\n[9, 9, 9, 9, 9, 9, 3, 8, 8, 8, 3, 3, 8, 3, 8, 3, 8, 3, 8, 8, 8, 3, 3, 8, 9, 7, 9],\n[9, 9, 9, 9, 9, 9, 8, 3, 8, 3, 8, 8, 3, 8, 3, 8, 3, 8, 8, 8, 3, 8, 3, 3, 7, 9, 9],\n[9, 9, 9, 9, 9, 9, 8, 8, 3, 8, 8, 8, 8, 3, 8, 3, 8, 8, 8, 3, 8, 8, 8, 3, 7, 9, 7],\n[7, 9, 9, 9, 9, 9, 8, 3, 8, 3, 8, 8, 3, 8, 3, 8, 3, 8, 3, 8, 8, 8, 3, 8, 7, 7, 7],\n[8, 3, 8, 8, 8, 8, 3, 8, 8, 8, 3, 3, 8, 3, 8, 3, 8, 7, 9, 9, 9, 7, 9, 9, 7, 7, 7],\n[3, 8, 3, 8, 8, 3, 8, 8, 8, 8, 3, 3, 3, 8, 8, 8, 3, 9, 7, 9, 7, 9, 9, 7, 7, 9, 7],\n[8, 3, 8, 3, 3, 8, 8, 8, 8, 3, 8, 3, 3, 8, 8, 3, 8, 7, 9, 7, 9, 9, 7, 7, 8, 8, 8],\n[8, 8, 3, 3, 3, 8, 8, 8, 3, 8, 3, 8, 8, 3, 3, 8, 8, 9, 7, 9, 7, 7, 7, 9, 8, 8, 8],\n[8, 8, 3, 3, 8, 3, 8, 3, 8, 3, 8, 8, 8, 3, 3, 8, 8, 3, 8, 3, 3, 3, 9, 9, 8, 8, 8],\n[9, 7, 9, 9, 7, 9, 7, 9, 7, 9, 9, 9, 7, 9, 9, 7, 7, 8, 8, 3, 3, 8, 7, 9, 8, 8, 8],\n[7, 9, 9, 9, 9, 7, 9, 7, 9, 9, 9, 7, 9, 9, 9, 7, 7, 9, 7, 7, 9, 7, 9, 7, 9, 9, 9],\n[9, 9, 9, 9, 7, 9, 7, 9, 7, 9, 7, 9, 9, 9, 7, 9, 9, 7, 7, 9, 9, 9, 7, 9, 7, 9, 9],\n[8, 8, 8, 3, 8, 3, 8, 3, 8, 3, 8, 8, 8, 3, 8, 8, 3, 3, 3, 8, 8, 8, 8, 3, 8, 3, 8],\n[8, 8, 3, 8, 3, 8, 8, 8, 3, 8, 3, 8, 3, 8, 8, 3, 3, 8, 8, 3, 8, 8, 8, 8, 3, 8, 3],\n[8, 3, 8, 3, 8, 8, 8, 3, 8, 3, 8, 3, 8, 8, 3, 3, 8, 8, 8, 8, 3, 8, 8, 8, 8, 3, 8],\n[3, 8, 3, 8, 8, 8, 3, 8, 8, 8, 3, 8, 3, 3, 3, 8, 8, 8, 8, 8, 8, 3, 8, 8, 8, 8, 3]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6],\n[1, 1, 1, 1, 1, 1, 1, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[1, 1, 1, 3, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0],\n[1, 1, 1, 1, 1, 1, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[3, 1, 1, 1, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6],\n[1, 1, 1, 1, 0, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[1, 1, 1, 1, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[1, 1, 3, 1, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6],\n[1, 1, 1, 1, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 1, 6, 6, 6, 6, 6],\n[1, 1, 1, 1, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 6, 6, 6, 6],\n[1, 1, 1, 1, 6, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6],\n[1, 1, 1, 1, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6],\n[1, 1, 6, 6, 0, 6, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6],\n[1, 1, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6],\n[1, 1, 6, 6, 6, 6, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6],\n[1, 1, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 6, 6, 6, 6, 6],\n[1, 1, 6, 6, 6, 6, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6],\n[1, 1, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6],\n[3, 1, 6, 6, 6, 6, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 6, 6, 6, 6, 6],\n[1, 1, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6],\n[1, 1, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 6, 6, 6, 6, 6],\n[1, 3, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6],\n[1, 1, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 0, 6],\n[1, 1, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6], [1, 1, 1, 1, 1, 1, 1, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [1, 1, 1, 3, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0], [1, 1, 1, 1, 1, 1, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [3, 1, 1, 1, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 0, 6, 6, 6, 6, 0, 6, 6], [1, 1, 1, 1, 0, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [1, 1, 1, 1, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6], [1, 1, 3, 1, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6], [1, 1, 1, 1, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 1, 6, 6, 6, 6, 6], [1, 1, 1, 1, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 6, 6, 6, 6], [1, 1, 1, 1, 6, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6], [1, 1, 1, 1, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6], [1, 1, 6, 6, 0, 6, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6], [1, 1, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6], [1, 1, 6, 6, 6, 6, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6], [1, 1, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 6, 6, 6, 6, 6], [1, 1, 6, 6, 6, 6, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6], [1, 1, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6], [3, 1, 6, 6, 6, 6, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 6, 6, 6, 6, 6], [1, 1, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6], [1, 1, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 6, 6, 6, 6, 6], [1, 3, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6], [1, 1, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 0, 6], [1, 1, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, 6], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], [6, 6, 6, 0, 6, 0, 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]], "task_key": "d07ae81c"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4],\n[1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 8],\n[0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2],\n[0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 5],\n[0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 8],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4],\n[5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8],\n[0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2],\n[0, 0, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 5],\n[0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 0, 8],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[6, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0],\n[7, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0],\n[5, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0],\n[1, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0],\n[9, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0],\n[2, 0, 0, 0, 0, 0, 0, 3, 3, 3, 0, 0, 0],\n[6, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0],\n[6, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0],\n[4, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 0, 0],\n[5, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0, 0],\n[6, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0],\n[7, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0],\n[6, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0],\n[5, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0],\n[8, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0],\n[6, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 0, 0],\n[9, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 0],\n[7, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0],\n[7, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0],\n[1, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 0, 0, 0],\n[7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 0, 0, 0],\n[5, 0, 0, 0, 0, 0, 0, 5, 5, 5, 0, 0, 0],\n[1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0],\n[9, 0, 0, 0, 0, 0, 0, 9, 9, 9, 0, 0, 0],\n[2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0],\n[6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0],\n[6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0],\n[4, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 0, 0],\n[5, 0, 0, 0, 0, 0, 5, 5, 5, 5, 5, 0, 0],\n[6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0],\n[7, 0, 0, 0, 0, 7, 7, 7, 7, 7, 7, 0, 0],\n[6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0],\n[5, 0, 0, 0, 0, 5, 5, 5, 5, 5, 5, 0, 0],\n[8, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 0, 0],\n[6, 0, 0, 0, 0, 6, 6, 6, 6, 6, 6, 0, 0],\n[9, 0, 0, 0, 0, 9, 9, 9, 9, 9, 9, 9, 0],\n[7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0],\n[7, 0, 0, 0, 0, 0, 0, 7, 7, 7, 7, 7, 0],\n[1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[6, 3, 6, 2, 3, 4, 7, 9, 2, 1, 6, 9, 9, 4, 6, 5, 1, 6, 7, 5, 4, 4, 5, 3, 7, 4],\n[0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0],\n[8, 8, 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[8, 8, 8, 8, 8, 8, 8, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8],\n[8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[6, 3, 6, 2, 3, 4, 7, 9, 2, 1, 6, 9, 9, 4, 6, 5, 1, 6, 7, 5, 4, 4, 5, 3, 7, 4],\n[0, 0, 6, 2, 3, 4, 7, 9, 2, 1, 6, 9, 9, 4, 6, 5, 1, 6, 7, 5, 4, 4, 5, 0, 0, 0],\n[6, 3, 6, 2, 3, 4, 7, 9, 2, 1, 6, 9, 9, 4, 6, 5, 1, 6, 7, 5, 4, 4, 5, 3, 7, 4],\n[6, 3, 6, 2, 3, 4, 7, 0, 0, 1, 6, 9, 9, 4, 6, 5, 1, 6, 7, 5, 4, 4, 5, 3, 7, 4],\n[6, 3, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 1, 6, 7, 5, 4, 4, 5, 3, 7, 4]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 2],\n[6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 3],\n[6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 8],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 5],\n[0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 9],\n[0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 2],\n[0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 3],\n[0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 1],\n[0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 9],\n[6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 8],\n[6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 5],\n[6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 9],\n[6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 5],\n[6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 7],\n[6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 4],\n[6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 9],\n[6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 2],\n[6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5],\n[6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3],\n[6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8],\n[6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3],\n[6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 6, 6, 6, 2], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 3], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 8], [6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 5], [0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 9], [0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 2], [0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 3], [0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 1], [0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 9], [6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 0, 0, 6, 6, 6, 6, 6, 8], [6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 5], [6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 9], [6, 6, 6, 0, 0, 0, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 5], [6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 7], [6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 4], [6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 9], [6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 6, 2], [6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5], [6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8], [6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [6, 6, 6, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 6, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], "task_key": "c9f8e694"}}
{"data_source": "Arc", "prompt": "### **ARC Puzzle Simple Question Template**\n\n1. **Problem Description** \n - There is a logical relationship between the input and output grids. The goal is to deduce the rule and solve the test grid.\n\n2. **Example Explanation** \n- Example 1: \n **Input**: \n```arcmatrix\n[\n[4, 4, 5, 5, 7, 4, 5, 5],\n[4, 4, 4, 4, 4, 4, 4, 4],\n[7, 4, 4, 4, 4, 5, 4, 4],\n[5, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 5, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 5, 5, 5],\n[4, 4, 4, 5, 4, 5, 7, 5],\n[4, 4, 4, 4, 4, 5, 5, 5],\n[4, 4, 5, 4, 7, 4, 4, 4],\n[7, 5, 4, 7, 5, 7, 4, 4],\n[5, 4, 4, 4, 4, 4, 5, 5],\n[4, 4, 5, 4, 4, 4, 4, 4],\n[4, 4, 4, 4, 4, 4, 4, 4],\n[4, 5, 4, 7, 7, 5, 7, 7],\n[4, 4, 4, 5, 4, 5, 4, 7]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[7]\n]\n```\n\n- Example 2: \n **Input**: \n```arcmatrix\n[\n[0, 0, 0, 0, 4, 0, 0, 4, 4, 8, 0, 4, 0, 8, 8, 0, 0, 8, 8, 0, 4, 0, 0, 0, 8, 0],\n[4, 0, 0, 0, 0, 4, 0, 0, 8, 4, 0, 0, 8, 4, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0],\n[4, 8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 4, 8, 0, 0, 0, 0, 0, 0],\n[0, 4, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 8, 8, 8, 0, 8, 0, 8, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 8, 0, 0, 8, 4, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 8],\n[0, 0, 0, 4, 4, 0, 8, 0, 0, 0, 8, 4, 8, 4, 8, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4],\n[0, 8, 0, 8, 0, 0, 0, 0, 0, 8, 0, 4, 4, 0, 0, 4, 8, 0, 8, 0, 0, 0, 8, 0, 0, 0],\n[8, 0, 8, 4, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0],\n[0, 4, 8, 0, 0, 4, 4, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 8, 4, 0, 0, 8, 4],\n[8, 8, 8, 0, 0, 8, 8, 0, 0, 4, 0, 8, 8, 0, 0, 0, 8, 0, 0, 8, 8, 0, 4, 4, 0, 0],\n[0, 4, 0, 4, 0, 0, 0, 0, 8, 4, 0, 0, 4, 8, 0, 8, 0, 0, 8, 8, 4, 0, 4, 4, 0, 0],\n[4, 0, 0, 4, 0, 8, 4, 8, 0, 0, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 4],\n[0, 0, 0, 0, 0, 0, 0, 8, 4, 0, 0, 0, 8, 0, 0, 0, 0, 8, 8, 8, 0, 8, 4, 4, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 0, 0, 4, 0, 0, 0, 8, 8, 4, 0, 8, 0, 4, 0, 0, 0],\n[8, 0, 0, 0, 0, 0, 0, 4, 8, 4, 0, 4, 8, 0, 0, 8, 0, 0, 0, 8, 4, 4, 4, 8, 0, 0],\n[0, 0, 0, 0, 4, 0, 0, 4, 4, 4, 8, 0, 0, 0, 4, 0, 8, 0, 8, 0, 8, 0, 0, 0, 0, 0],\n[4, 8, 8, 0, 0, 4, 0, 0, 4, 0, 4, 4, 0, 0, 0, 0, 0, 8, 0, 8, 4, 0, 0, 8, 8, 0],\n[0, 0, 0, 4, 0, 8, 8, 8, 8, 0, 4, 0, 8, 0, 0, 8, 4, 0, 0, 8, 8, 0, 0, 0, 0, 0],\n[0, 8, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 4, 0, 8],\n[0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 8, 8, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0],\n[8, 4, 0, 0, 8, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8, 0, 0, 0, 8, 8, 4, 8, 8, 4, 0, 0],\n[4, 8, 4, 0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 8],\n[0, 0, 0, 4, 0, 8, 0, 4, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 4, 0, 8, 8, 0, 4, 0, 4]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[8]\n]\n```\n\n- Example 3: \n **Input**: \n```arcmatrix\n[\n[6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6],\n[1, 0, 6, 0, 6, 6, 6, 6, 6, 6, 0, 1, 6, 6, 1, 6, 6, 1, 6, 6, 6, 6, 6, 1, 6, 6],\n[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],\n[6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 0, 6, 6, 6, 6, 6, 6, 6, 1],\n[6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 6],\n[1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 0, 6, 6],\n[0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 1, 6],\n[6, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6],\n[6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 1, 6, 6, 6, 0, 6, 6, 6, 6, 6, 1, 6, 1, 6, 1, 1],\n[6, 6, 6, 6, 6, 6, 6, 6, 0, 6, 6, 6, 6, 1, 6, 6, 6, 6, 0, 6, 0, 6, 6, 6, 6, 6],\n[6, 0, 6, 6, 6, 1, 6, 1, 6, 6, 6, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6],\n[6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 6, 1],\n[0, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 0, 1, 0, 6, 1],\n[6, 6, 6, 6, 0, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 0, 0, 0, 0, 6],\n[1, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 6, 6, 6, 6, 6, 1, 6, 6, 6, 1, 6, 6, 6],\n[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],\n[6, 1, 1, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 1, 1, 6, 1, 6, 6, 1, 6, 6, 6, 6]\n]\n``` \n **Output**: \n```arcmatrix\n[\n[1]\n]\n```\n\n3. **Test Grid** \n **Input**:\n```arcmatrix\n[\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 8, 0, 8, 0, 1, 1, 1, 8, 0, 1, 8, 0, 0, 0],\n[0, 8, 0, 1, 0, 0, 8, 1, 8, 1, 0, 8, 0, 0, 0, 0, 1],\n[8, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 8, 0, 0, 0, 0],\n[8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0],\n[8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0],\n[0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0],\n[0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0],\n[0, 0, 0, 0, 8, 1, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0],\n[0, 0, 0, 0, 8, 1, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0],\n[0, 8, 8, 0, 8, 0, 0, 0, 0, 0, 1, 0, 0, 0, 8, 0, 0],\n[0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0],\n[8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 1, 0, 0, 8, 0, 0, 0],\n[0, 1, 0, 0, 1, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0],\n[0, 0, 0, 0, 0, 8, 1, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8],\n[0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0],\n[0, 0, 1, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 1, 0],\n[8, 0, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0],\n[0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 1, 0, 0],\n[0, 8, 0, 0, 1, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n[0, 8, 8, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 0, 0, 0, 0],\n[0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8],\n[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8]\n]\n```\n**Output**: \n?", "ground_truth": {"input_grid": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 8, 0, 1, 1, 1, 8, 0, 1, 8, 0, 0, 0], [0, 8, 0, 1, 0, 0, 8, 1, 8, 1, 0, 8, 0, 0, 0, 0, 1], [8, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 8, 0, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0], [8, 8, 0, 8, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 8, 8, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0], [0, 0, 0, 0, 8, 1, 0, 0, 8, 0, 0, 0, 8, 0, 0, 0, 0], [0, 0, 0, 0, 8, 1, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 0, 0, 0], [0, 8, 8, 0, 8, 0, 0, 0, 0, 0, 1, 0, 0, 0, 8, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 8, 0, 0], [8, 0, 8, 0, 0, 8, 0, 0, 0, 0, 1, 0, 0, 8, 0, 0, 0], [0, 1, 0, 0, 1, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 8, 1, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8], [0, 0, 0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0], [0, 0, 1, 8, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 8, 0, 0, 1, 0], [8, 0, 8, 0, 0, 8, 8, 0, 0, 0, 0, 8, 0, 8, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 8, 8, 0, 8, 0, 0, 1, 0, 0], [0, 8, 0, 0, 1, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 8, 8, 0, 8, 0, 0, 8, 0, 8, 0, 0, 8, 0, 0, 0, 0], [0, 0, 8, 0, 0, 8, 0, 0, 0, 0, 8, 8, 8, 0, 0, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8]], "task_key": "d9fac9be"}}
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