{
    "SCMm5ob": {
        "L1": {
            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 8, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 8, 0, 0, 0, 0, 0, 0, 0, 2], [7, 7, 0, 7, 0, 0, 0, 2, 0, 0], [8, 0, 0, 0, 0, 0, 8, 0, 0, 0], [0, 8, 0, 0, 3, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 3, 7, 0, 0, 0, 0, 8], [0, 0, 0, 3, 0, 0, 0, 2, 0, 0], [2, 0, 2, 7, 3, 8, 0, 0, 0, 0]] -> [[0, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 7, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 2, 0, 0, 0, 0, 7, 3, 0], [0, 3, 7, 0, 0, 0, 2, 2, 0, 2], [7, 0, 0, 8, 2, 0, 0, 8, 8, 0], [7, 0, 0, 7, 7, 0, 0, 7, 0, 8], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 2, 0, 7, 0, 0, 8, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[7, 0, 2, 0], [7, 0, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 2, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 8, 0, 7, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 3, 0, 0, 7, 0, 0, 0], [2, 0, 0, 0, 2, 7, 3, 0, 0, 0], [0, 0, 0, 2, 3, 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, 2]] -> [[0, 0, 2, 0], [7, 0, 2, 3], [7, 0, 2, 3], [7, 0, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 7, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 2, 0, 0, 0, 0, 7, 3, 0], [0, 3, 7, 0, 0, 0, 2, 2, 0, 2], [7, 0, 0, 8, 2, 0, 0, 8, 8, 0], [7, 0, 0, 7, 7, 0, 0, 7, 0, 8], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 2, 0, 7, 0, 0, 8, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[7, 0, 2, 0], [7, 0, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\n",
            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 7, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 2, 0, 0, 0, 0, 7, 3, 0], [0, 3, 7, 0, 0, 0, 2, 2, 0, 2], [7, 0, 0, 8, 2, 0, 0, 8, 8, 0], [7, 0, 0, 7, 7, 0, 0, 7, 0, 8], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 2, 0, 7, 0, 0, 8, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[7, 0, 2, 0], [7, 0, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 7, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 2, 0, 0, 0, 0, 7, 3, 0], [0, 3, 7, 0, 0, 0, 2, 2, 0, 2], [7, 0, 0, 8, 2, 0, 0, 8, 8, 0], [7, 0, 0, 7, 7, 0, 0, 7, 0, 8], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 2, 0, 7, 0, 0, 8, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[7, 0, 2, 0], [7, 0, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 3, 0, 0, 8, 0, 0, 0, 2], [3, 0, 0, 0, 0, 0, 3, 3, 0, 0], [0, 0, 0, 0, 0, 3, 2, 0, 0, 0], [0, 0, 8, 0, 2, 8, 3, 3, 0, 0], [7, 0, 0, 8, 0, 2, 2, 0, 0, 0], [0, 0, 8, 0, 3, 7, 7, 7, 0, 0]] -> [[0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 8, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 8, 0, 0, 0, 0, 0, 0, 0, 2], [7, 7, 0, 7, 0, 0, 0, 2, 0, 0], [8, 0, 0, 0, 0, 0, 8, 0, 0, 0], [0, 8, 0, 0, 3, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 3, 7, 0, 0, 0, 0, 8], [0, 0, 0, 3, 0, 0, 0, 2, 0, 0], [2, 0, 2, 7, 3, 8, 0, 0, 0, 0]] -> [[0, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\n",
            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 3, 8, 7], [0, 0, 2, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [2, 0, 0, 0, 0, 0, 0, 0, 8, 0], [0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 8, 8, 0], [0, 0, 0, 0, 0, 0, 8, 8, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 3, 2, 0, 0, 0, 0, 7, 0]] -> [[0, 8, 0, 0], [0, 8, 0, 3], [0, 8, 0, 3], [7, 8, 0, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 2, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 8, 0, 7, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 3, 0, 0, 7, 0, 0, 0], [2, 0, 0, 0, 2, 7, 3, 0, 0, 0], [0, 0, 0, 2, 3, 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, 2]] -> [[0, 0, 2, 0], [7, 0, 2, 3], [7, 0, 2, 3], [7, 0, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 7, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 2, 0, 0, 0, 0, 7, 3, 0], [0, 3, 7, 0, 0, 0, 2, 2, 0, 2], [7, 0, 0, 8, 2, 0, 0, 8, 8, 0], [7, 0, 0, 7, 7, 0, 0, 7, 0, 8], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 2, 0, 7, 0, 0, 8, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[7, 0, 2, 0], [7, 0, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 3, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 3, 0, 0, 0], [7, 0, 0, 0, 3, 0, 7, 0, 0, 0], [0, 0, 0, 0, 2, 0, 7, 0, 0, 0], [7, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 8, 8], [0, 7, 3, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 0, 0, 0], [7, 0, 0, 0], [7, 0, 0, 0], [7, 8, 0, 0], [7, 8, 0, 3], [7, 8, 0, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\n",
            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 7, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 2, 0, 0, 0, 0, 7, 3, 0], [0, 3, 7, 0, 0, 0, 2, 2, 0, 2], [7, 0, 0, 8, 2, 0, 0, 8, 8, 0], [7, 0, 0, 7, 7, 0, 0, 7, 0, 8], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 2, 0, 7, 0, 0, 8, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[7, 0, 2, 0], [7, 0, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 2, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 8, 0, 7, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 3, 0, 0, 7, 0, 0, 0], [2, 0, 0, 0, 2, 7, 3, 0, 0, 0], [0, 0, 0, 2, 3, 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, 2]] -> [[0, 0, 2, 0], [7, 0, 2, 3], [7, 0, 2, 3], [7, 0, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 8, 2, 0, 0], [0, 0, 0, 0, 0, 0, 7, 7, 0, 0], [0, 0, 0, 2, 8, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 2, 0], [7, 8, 0, 0, 7, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [0, 0, 0, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 7, 0, 0, 0, 0, 0, 0], [0, 2, 8, 0, 2, 0, 0, 3, 8, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 7]] -> [[0, 0, 2, 0], [0, 0, 2, 0], [0, 0, 2, 0], [7, 0, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 7, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 2, 0, 0, 0, 0, 7, 3, 0], [0, 3, 7, 0, 0, 0, 2, 2, 0, 2], [7, 0, 0, 8, 2, 0, 0, 8, 8, 0], [7, 0, 0, 7, 7, 0, 0, 7, 0, 8], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 2, 0, 7, 0, 0, 8, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[7, 0, 2, 0], [7, 0, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\n",
            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 3, 8, 7], [0, 0, 2, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [2, 0, 0, 0, 0, 0, 0, 0, 8, 0], [0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 8, 8, 0], [0, 0, 0, 0, 0, 0, 8, 8, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 3, 2, 0, 0, 0, 0, 7, 0]] -> [[0, 8, 0, 0], [0, 8, 0, 3], [0, 8, 0, 3], [7, 8, 0, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 3, 8, 7], [0, 0, 2, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [2, 0, 0, 0, 0, 0, 0, 0, 8, 0], [0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 8, 8, 0], [0, 0, 0, 0, 0, 0, 8, 8, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 3, 2, 0, 0, 0, 0, 7, 0]] -> [[0, 8, 0, 0], [0, 8, 0, 3], [0, 8, 0, 3], [7, 8, 0, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 8, 0, 0, 0, 0, 7, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 8, 0, 0, 0, 0, 0, 0, 0, 2], [7, 7, 0, 7, 0, 0, 0, 2, 0, 0], [8, 0, 0, 0, 0, 0, 8, 0, 0, 0], [0, 8, 0, 0, 3, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 0, 2, 0], [0, 0, 0, 3, 7, 0, 0, 0, 0, 8], [0, 0, 0, 3, 0, 0, 0, 2, 0, 0], [2, 0, 2, 7, 3, 8, 0, 0, 0, 0]] -> [[0, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 3, 0, 0, 8, 0, 0, 0, 2], [3, 0, 0, 0, 0, 0, 3, 3, 0, 0], [0, 0, 0, 0, 0, 3, 2, 0, 0, 0], [0, 0, 8, 0, 2, 8, 3, 3, 0, 0], [7, 0, 0, 8, 0, 2, 2, 0, 0, 0], [0, 0, 8, 0, 3, 7, 7, 7, 0, 0]] -> [[0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\n"
        },
        "L3": {
            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 7, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 2, 0, 0, 0, 0, 7, 3, 0], [0, 3, 7, 0, 0, 0, 2, 2, 0, 2], [7, 0, 0, 8, 2, 0, 0, 8, 8, 0], [7, 0, 0, 7, 7, 0, 0, 7, 0, 8], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 2, 0, 7, 0, 0, 8, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[7, 0, 2, 0], [7, 0, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 3, 0, 3, 0, 7], [0, 0, 0, 0, 0, 3, 2, 3, 2, 7], [0, 0, 0, 3, 8, 0, 3, 8, 2, 7], [0, 0, 0, 0, 0, 0, 0, 2, 0, 3], [0, 8, 0, 0, 0, 0, 0, 0, 8, 0], [3, 0, 0, 0, 3, 0, 0, 8, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 3, 0, 0, 7, 0]] -> [[0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 2, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 8, 0, 7, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 3, 0, 0, 7, 0, 0, 0], [2, 0, 0, 0, 2, 7, 3, 0, 0, 0], [0, 0, 0, 2, 3, 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, 2]] -> [[0, 0, 2, 0], [7, 0, 2, 3], [7, 0, 2, 3], [7, 0, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 3, 0, 7, 0, 0, 0, 3], [0, 0, 0, 2, 2, 0, 7, 0, 3, 0], [0, 2, 7, 0, 0, 0, 0, 2, 0, 0], [0, 0, 3, 0, 0, 0, 0, 3, 0, 3], [0, 7, 0, 0, 2, 0, 7, 7, 7, 0], [7, 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, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 2, 0, 0, 0, 0, 0, 0]] -> [[7, 0, 0, 0], [7, 0, 0, 0], [7, 0, 0, 0], [7, 0, 0, 3], [7, 0, 2, 3], [7, 0, 2, 3], [7, 0, 2, 3], [7, 0, 2, 3], [7, 0, 2, 3], [7, 0, 2, 3]]\n",
            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 3, 8, 7], [0, 0, 2, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [2, 0, 0, 0, 0, 0, 0, 0, 8, 0], [0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 8, 8, 0], [0, 0, 0, 0, 0, 0, 8, 8, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 3, 2, 0, 0, 0, 0, 7, 0]] -> [[0, 8, 0, 0], [0, 8, 0, 3], [0, 8, 0, 3], [7, 8, 0, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[9, 9, 3, 9, 9, 9, 9, 9, 9, 9], [9, 9, 9, 8, 9, 9, 9, 7, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [2, 9, 9, 9, 9, 3, 9, 9, 9, 9], [9, 9, 3, 9, 9, 8, 9, 9, 9, 2], [3, 9, 9, 9, 9, 9, 3, 3, 9, 9], [9, 9, 9, 9, 9, 3, 2, 9, 9, 9], [9, 9, 8, 9, 2, 8, 3, 3, 9, 9], [7, 9, 9, 8, 9, 2, 2, 9, 9, 9], [9, 9, 8, 9, 3, 7, 7, 7, 9, 9]] -> [[9, 9, 9, 3], [9, 9, 9, 3], [9, 9, 9, 3], [9, 9, 9, 3], [9, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 2, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 8, 0, 7, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 3, 0, 0, 7, 0, 0, 0], [2, 0, 0, 0, 2, 7, 3, 0, 0, 0], [0, 0, 0, 2, 3, 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, 2]] -> [[0, 0, 2, 0], [7, 0, 2, 3], [7, 0, 2, 3], [7, 0, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 3, 0, 7, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 7, 0, 3, 0], [0, 0, 7, 0, 0, 8, 0, 0, 0, 0], [0, 0, 3, 0, 0, 0, 8, 3, 0, 3], [0, 7, 0, 0, 0, 0, 7, 7, 7, 0], [7, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 8, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 7, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 0, 0, 0], [7, 0, 0, 0], [7, 0, 0, 0], [7, 0, 0, 3], [7, 0, 0, 3], [7, 8, 0, 3], [7, 8, 0, 3], [7, 8, 0, 3], [7, 8, 0, 3], [7, 8, 0, 3]]\n",
            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 3, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 7, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 3, 0, 0, 8, 0, 0, 0, 2], [3, 0, 0, 0, 0, 0, 3, 3, 0, 0], [0, 0, 0, 0, 0, 3, 2, 0, 0, 0], [0, 0, 8, 0, 2, 8, 3, 3, 0, 0], [7, 0, 0, 8, 0, 2, 2, 0, 0, 0], [0, 0, 8, 0, 3, 7, 7, 7, 0, 0]] -> [[0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 8, 0, 3, 7, 7, 7, 0, 0], [7, 0, 0, 8, 0, 2, 2, 0, 0, 0], [0, 0, 8, 0, 2, 8, 3, 3, 0, 0], [0, 0, 0, 0, 0, 3, 2, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 3, 0, 0], [0, 0, 3, 0, 0, 8, 0, 0, 0, 2], [2, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 7, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 7, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 2, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 2, 0, 0, 0, 0, 7, 3, 0], [0, 3, 7, 0, 0, 0, 2, 2, 0, 2], [7, 0, 0, 8, 2, 0, 0, 8, 8, 0], [7, 0, 0, 7, 7, 0, 0, 7, 0, 8], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 2, 0, 7, 0, 0, 8, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 2]] -> [[7, 0, 2, 0], [7, 0, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 0], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[9, 9, 9, 3, 9, 7, 9, 9, 9, 3], [9, 9, 9, 2, 2, 9, 7, 9, 3, 9], [9, 2, 7, 9, 9, 8, 9, 2, 9, 9], [9, 9, 3, 9, 9, 9, 8, 3, 9, 3], [9, 7, 9, 9, 2, 9, 7, 7, 7, 9], [7, 9, 9, 9, 9, 9, 9, 8, 9, 9], [9, 8, 9, 3, 9, 9, 9, 9, 9, 9], [9, 9, 8, 9, 9, 9, 9, 7, 9, 9], [9, 9, 9, 9, 9, 9, 9, 9, 9, 9], [9, 9, 7, 2, 9, 9, 9, 9, 9, 9]] -> [[7, 9, 9, 9], [7, 9, 9, 9], [7, 9, 9, 9], [7, 9, 9, 3], [7, 9, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\n",
            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 3, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 3, 0, 0, 0], [7, 0, 0, 0, 3, 0, 7, 0, 0, 0], [0, 0, 0, 0, 2, 0, 7, 0, 0, 0], [7, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 8, 8], [0, 7, 3, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 0, 0, 0], [7, 0, 0, 0], [7, 0, 0, 0], [7, 8, 0, 0], [7, 8, 0, 3], [7, 8, 0, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 8, 0, 3, 7, 7, 7, 0, 0], [7, 0, 0, 8, 0, 2, 2, 0, 0, 0], [0, 0, 8, 0, 2, 8, 3, 3, 0, 0], [0, 0, 0, 0, 0, 3, 2, 0, 0, 0], [3, 0, 0, 0, 0, 0, 3, 3, 0, 0], [0, 0, 3, 0, 0, 8, 0, 0, 0, 2], [2, 0, 0, 0, 0, 3, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 7, 0, 0], [0, 0, 3, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 3, 8, 7], [0, 0, 2, 0, 0, 0, 0, 0, 8, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [2, 0, 0, 0, 0, 0, 0, 0, 8, 0], [0, 0, 3, 0, 0, 0, 3, 0, 0, 0], [0, 0, 0, 0, 0, 0, 3, 8, 8, 0], [0, 0, 0, 0, 0, 0, 8, 8, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 3, 2, 0, 0, 0, 0, 7, 0]] -> [[0, 8, 0, 0], [0, 8, 0, 3], [0, 8, 0, 3], [7, 8, 0, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 7, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 7, 0, 0], [0, 8, 0, 3, 0, 0, 0, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 7, 0, 0, 2, 0, 7, 7, 7, 0], [0, 0, 3, 0, 0, 0, 8, 3, 0, 3], [0, 2, 7, 0, 0, 8, 0, 2, 0, 0], [0, 0, 0, 2, 2, 0, 7, 0, 3, 0], [0, 0, 0, 3, 0, 7, 0, 0, 0, 3]] -> [[7, 0, 0, 0], [7, 0, 0, 0], [7, 0, 0, 0], [7, 0, 0, 3], [7, 0, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\n",
            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0, 3, 0], [7, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 2, 3, 0, 0, 0], [7, 0, 0, 0, 3, 0, 7, 0, 0, 0], [0, 0, 0, 0, 2, 0, 7, 0, 0, 0], [7, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 7, 8, 8], [0, 7, 3, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 0, 0, 0], [7, 0, 0, 0], [7, 0, 0, 0], [7, 8, 0, 0], [7, 8, 0, 3], [7, 8, 0, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 3, 0, 3, 0, 7], [0, 0, 0, 0, 0, 3, 2, 3, 2, 7], [0, 0, 0, 3, 8, 0, 3, 8, 2, 7], [0, 0, 0, 0, 0, 0, 0, 2, 0, 3], [0, 8, 0, 0, 0, 0, 0, 0, 8, 0], [3, 0, 0, 0, 3, 0, 0, 8, 0, 8], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 3, 0, 0, 7, 0]] -> [[0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 0, 0, 3], [0, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 7, 0], [0, 0, 2, 0, 0, 0, 0, 0, 3, 0], [0, 0, 3, 0, 8, 0, 7, 0, 0, 0], [8, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 3, 0, 0, 7, 0, 0, 0], [2, 0, 0, 0, 2, 7, 3, 0, 0, 0], [0, 0, 0, 2, 3, 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, 2]] -> [[0, 0, 2, 0], [7, 0, 2, 3], [7, 0, 2, 3], [7, 0, 2, 3], [7, 8, 2, 3], [7, 8, 2, 3]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 3, 0, 0, 0, 0, 0, 3], [0, 0, 0, 2, 2, 0, 0, 0, 3, 0], [0, 2, 0, 0, 0, 8, 0, 2, 0, 0], [0, 0, 3, 0, 0, 0, 8, 3, 0, 3], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 8, 0, 0], [0, 8, 0, 3, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 3], [0, 0, 2, 3], [0, 8, 2, 3], [0, 8, 2, 3], [0, 8, 2, 3], [0, 8, 2, 3], [0, 8, 2, 3]]\n"
        }
    },
    "SCMev5t": {
        "L1": {
            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [0, 0, 0, 6, 6, 6, 0, 2, 2, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0], [6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 6, 6]]\nExample input-output arrays:\n[[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, 2, 2, 2, 0, 0], [0, 6, 6, 0, 0, 2, 2, 2, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0], [0, 4, 4, 0, 0, 2, 2, 2, 0, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[4, 0], [6, 0], [2, 2]]\nExample input-output arrays:\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, 0, 2, 2, 0], [0, 0, 0, 0, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 4, 4, 4, 0, 6, 6, 6, 0, 0], [0, 4, 4, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[4, 0], [6, 0], [2, 2]]\n",
            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 2, 0], [6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 2, 0], [6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 2, 2, 2, 0, 6, 6, 6, 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, 0, 0, 0, 0, 0], [0, 0, 2, 2, 0, 2, 2, 0, 0, 0], [0, 0, 2, 2, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 0, 0], [2, 2, 2]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 2, 0], [6, 6, 6]]\n",
            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[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, 2, 2, 2, 0, 0], [0, 6, 6, 0, 0, 2, 2, 2, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0], [0, 4, 4, 0, 0, 2, 2, 2, 0, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[4, 0], [6, 0], [2, 2]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 2, 0], [6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [0, 0, 0, 6, 6, 6, 0, 2, 2, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0], [6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0, 6, 6, 0], [0, 4, 4, 0, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0, 4, 4, 4, 0], [0, 2, 2, 2, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0], [4, 4], [6, 6]]\n",
            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[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, 2, 2, 2, 0, 0], [0, 6, 6, 0, 0, 2, 2, 2, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0], [0, 4, 4, 0, 0, 2, 2, 2, 0, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[4, 0], [6, 0], [2, 2]]\nExample input-output arrays:\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, 0, 2, 2, 0], [0, 0, 0, 0, 2, 2, 0, 2, 2, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 4, 4, 4, 0, 6, 6, 6, 0, 0], [0, 4, 4, 4, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[4, 0], [6, 0], [2, 2]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 2, 2, 2, 0], [0, 0, 6, 6, 6, 0, 2, 2, 2, 0], [0, 0, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 6, 6, 0, 0, 2, 2, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 2], [6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 0, 0, 0, 0, 6, 6, 6, 0, 0], [0, 2, 2, 2, 0, 6, 6, 6, 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, 0, 0, 0, 0, 0], [0, 0, 2, 2, 0, 2, 2, 0, 0, 0], [0, 0, 2, 2, 0, 2, 2, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 0, 0], [2, 2, 2]]\n",
            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [0, 0, 0, 6, 6, 6, 0, 2, 2, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0], [6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 2, 2, 2, 0], [0, 0, 6, 6, 6, 0, 2, 2, 2, 0], [0, 0, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 6, 6, 0, 0, 2, 2, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 2], [6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 2, 0], [6, 6, 6]]\n"
        },
        "L3": {
            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0, 6, 6, 0], [0, 4, 4, 0, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0, 4, 4, 4, 0], [0, 2, 2, 2, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0], [4, 4], [6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [0, 0, 0, 6, 6, 6, 0, 2, 2, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0], [6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 6, 6]]\n",
            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0, 6, 6, 0], [0, 4, 4, 0, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0, 4, 4, 4, 0], [0, 2, 2, 2, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0], [4, 4], [6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 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, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0], [0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 2, 0], [6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 6, 6]]\n",
            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0, 6, 6, 0], [0, 4, 4, 0, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0, 4, 4, 4, 0], [0, 2, 2, 2, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0], [4, 4], [6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 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, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0], [0, 0, 0]]\nExample input-output arrays:\n[[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, 2, 2, 2, 0, 0], [0, 6, 6, 0, 0, 2, 2, 2, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 2, 2, 2, 0, 0], [0, 0, 0, 0, 0, 2, 2, 2, 0, 0], [0, 4, 4, 0, 0, 2, 2, 2, 0, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[4, 0], [6, 0], [2, 2]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 6, 6]]\n",
            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 2, 2, 0], [0, 0, 0, 6, 6, 6, 0, 2, 2, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0], [6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[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, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 6, 6, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0], [6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0, 0, 0, 0], [0, 4, 4, 0, 0, 0, 0, 6, 6, 0], [0, 4, 4, 0, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 6, 6, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 2, 0, 0, 4, 4, 4, 0], [0, 2, 2, 2, 0, 0, 4, 4, 4, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0], [4, 4], [6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 6, 6]]\n",
            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 2, 2, 0, 2, 2, 2, 0, 0, 0], [0, 0, 0, 0, 2, 2, 2, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 6, 6, 6, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 2, 0], [6, 6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by rotating or flipping it.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 0, 0, 0, 0, 0, 0], [0, 2, 2, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 6, 0, 6, 6, 6, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0], [6, 6, 6]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 6, 0, 2, 2, 2, 0], [0, 0, 6, 6, 6, 0, 2, 2, 2, 0], [0, 0, 6, 6, 6, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 0, 0, 0, 0, 2, 2, 0, 0], [0, 0, 6, 6, 0, 0, 2, 2, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 2], [6, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 6, 6, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 6, 6, 6, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[6, 6, 6]]\n"
        }
    },
    "SCMfwpq": {
        "L1": {
            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 6, 6, 0, 0, 0, 0, 0], [6, 0, 6, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 4, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 4, 4, 7, 7, 7, 7, 7], [6, 0, 6, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 6, 6, 6, 0, 0], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 4, 4, 4, 7, 7], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 6, 0, 0, 6, 0, 0], [6, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 0], [7, 6, 0, 6, 6, 0, 0, 0], [0, 6, 6, 0, 0, 0, 6, 0], [6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6]] -> [[7, 7, 4, 7, 7, 4, 7, 7], [6, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 0], [7, 4, 7, 4, 4, 7, 7, 7], [0, 6, 6, 0, 0, 0, 6, 0], [6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 6, 0, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 0, 6], [7, 0, 0, 6, 6, 6, 6, 0], [0, 0, 0, 6, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 7, 4, 4, 7], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 7, 4, 7, 7, 7, 7], [0, 6, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 0, 6], [7, 7, 7, 4, 4, 4, 4, 7], [0, 0, 0, 6, 0, 6, 0, 0]]\n",
            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 6, 0, 0, 6, 0, 0], [6, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 0], [7, 6, 0, 6, 6, 0, 0, 0], [0, 6, 6, 0, 0, 0, 6, 0], [6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6]] -> [[7, 7, 4, 7, 7, 4, 7, 7], [6, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 0], [7, 4, 7, 4, 4, 7, 7, 7], [0, 6, 6, 0, 0, 0, 6, 0], [6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 6, 6, 0, 0, 0, 0, 0], [6, 0, 6, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 4, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 4, 4, 7, 7, 7, 7, 7], [6, 0, 6, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 6, 6, 6, 0, 0], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 4, 4, 4, 7, 7], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 0, 6, 6], [7, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 0, 6, 6], [7, 4, 7, 7, 7, 7, 7, 7], [0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]]\n",
            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 6, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 6, 6, 0, 0, 0, 0, 0], [6, 0, 6, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 4, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 6, 6, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [7, 4, 4, 7, 7, 7, 7, 7], [6, 0, 6, 0, 6, 0, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [7, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 0, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [7, 7, 7, 7, 7, 7, 7, 7], [0, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 7, 7, 7, 4, 7, 7, 7], [0, 6, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 0, 6, 6], [7, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 0, 6, 6], [7, 4, 7, 7, 7, 7, 7, 7], [0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]]\n",
            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 0, 6, 6], [7, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 0, 6, 6], [7, 4, 7, 7, 7, 7, 7, 7], [0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 0, 6, 6], [7, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 0, 6, 6], [7, 4, 7, 7, 7, 7, 7, 7], [0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 6, 6, 6, 0, 0], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 4, 4, 4, 7, 7], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]]\n",
            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 6, 6, 6, 0, 0], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 4, 4, 4, 7, 7], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 6, 0, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 0, 6], [7, 0, 0, 6, 6, 6, 6, 0], [0, 0, 0, 6, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 7, 4, 4, 7], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 7, 4, 7, 7, 7, 7], [0, 6, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 0, 6], [7, 7, 7, 4, 4, 4, 4, 7], [0, 0, 0, 6, 0, 6, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 0, 6, 6], [7, 6, 0, 0, 0, 0, 0, 0], [0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 4, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 0, 0, 6, 0], [0, 6, 6, 6, 0, 0, 6, 6], [7, 4, 7, 7, 7, 7, 7, 7], [0, 6, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 0, 6, 0, 6], [0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [0, 6, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 0, 0, 0], [7, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 6, 6], [0, 0, 6, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 6, 0, 0, 0, 0, 6], [0, 6, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 0, 0, 0], [7, 7, 4, 7, 4, 7, 4, 7], [0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 6, 6], [0, 0, 6, 0, 0, 0, 0, 0]]\n"
        },
        "L3": {
            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [0, 6, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 0, 0, 0], [7, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 6, 6], [0, 0, 6, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 6, 0, 0, 0, 0, 6], [0, 6, 0, 0, 0, 0, 0, 6], [6, 0, 6, 0, 0, 0, 0, 0], [7, 7, 4, 7, 4, 7, 4, 7], [0, 6, 0, 6, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 6, 6], [0, 0, 6, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [7, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [7, 7, 7, 7, 7, 7, 7, 7], [0, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 7, 7, 7, 7, 7, 7, 7], [0, 6, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 6, 0, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 0, 6], [7, 0, 0, 6, 6, 6, 6, 0], [0, 0, 0, 6, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 7, 4, 4, 7], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 7, 4, 7, 7, 7, 7], [0, 6, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 0, 6], [7, 7, 7, 4, 4, 4, 4, 7], [0, 0, 0, 6, 0, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 0, 0, 0, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]]\n",
            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 2, 2, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2], [7, 0, 0, 0, 0, 0, 0, 0], [0, 2, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0], [7, 0, 0, 0, 2, 0, 0, 0], [0, 2, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [2, 0, 0, 2, 2, 0, 0, 0], [0, 0, 2, 0, 0, 0, 0, 2], [7, 7, 7, 7, 7, 7, 7, 7], [0, 2, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0], [7, 7, 7, 7, 4, 7, 7, 7], [0, 2, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [7, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 0, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [7, 7, 7, 7, 7, 7, 7, 7], [0, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 7, 7, 7, 4, 7, 7, 7], [0, 6, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]]\n",
            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [0, 6, 6, 0, 6, 0, 0, 6], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 6, 6, 6, 6, 6, 6, 6], [6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [7, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 6, 6, 6, 6, 6, 6, 6], [0, 6, 0, 0, 0, 0, 0, 0]] -> [[7, 4, 4, 4, 4, 4, 4, 4], [6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [7, 4, 4, 4, 4, 4, 4, 4], [0, 6, 0, 0, 0, 6, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 4, 4, 4, 4, 4, 4, 4], [0, 6, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 6, 0, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 0, 6], [7, 0, 0, 6, 6, 6, 6, 0], [0, 0, 0, 6, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 7, 4, 4, 7], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 7, 4, 7, 7, 7, 7], [0, 6, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 0, 6], [7, 7, 7, 4, 4, 4, 4, 7], [0, 0, 0, 6, 0, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 0, 0, 0, 0, 0, 0, 2], [0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 2], [0, 2, 2, 0, 2, 0, 0, 2], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [0, 0, 2, 0, 2, 0, 2, 0], [0, 2, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 2], [0, 2, 2, 0, 2, 0, 0, 2], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 2, 0, 0, 0, 0]]\n",
            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 6, 0, 0, 6, 0, 0], [6, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 0], [7, 6, 0, 6, 6, 0, 0, 0], [0, 6, 6, 0, 0, 0, 6, 0], [6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6]] -> [[7, 7, 4, 7, 7, 4, 7, 7], [6, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 0], [7, 4, 7, 4, 4, 7, 7, 7], [0, 6, 6, 0, 0, 0, 6, 0], [6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 0, 0, 0, 0, 0, 0, 0], [8, 0, 0, 8, 8, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 8], [7, 0, 0, 0, 0, 0, 0, 0], [0, 8, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0], [7, 0, 0, 0, 8, 0, 0, 0], [0, 8, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [8, 0, 0, 8, 8, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 8], [7, 7, 7, 7, 7, 7, 7, 7], [0, 8, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0], [7, 7, 7, 7, 4, 7, 7, 7], [0, 8, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 6, 6, 0], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 6, 0, 6, 0, 0, 0, 0], [0, 6, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 0, 6], [7, 0, 0, 6, 6, 6, 6, 0], [0, 0, 0, 6, 0, 6, 0, 0]] -> [[7, 7, 7, 7, 7, 4, 4, 7], [0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 4, 7, 4, 7, 7, 7, 7], [0, 6, 0, 6, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 0, 6], [7, 7, 7, 4, 4, 4, 4, 7], [0, 0, 0, 6, 0, 6, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 0, 0, 0, 0, 0, 0, 6], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [0, 0, 6, 0, 6, 0, 6, 0], [0, 6, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 6], [6, 6, 6, 6, 6, 6, 6, 6], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 6, 0, 0, 0, 0]]\n",
            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[7, 0, 6, 0, 0, 6, 0, 0], [6, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 0], [7, 6, 0, 6, 6, 0, 0, 0], [0, 6, 6, 0, 0, 0, 6, 0], [6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6]] -> [[7, 7, 4, 7, 7, 4, 7, 7], [6, 0, 0, 0, 6, 0, 6, 6], [0, 0, 0, 0, 0, 0, 0, 6], [0, 0, 0, 6, 0, 0, 0, 0], [7, 4, 7, 4, 4, 7, 7, 7], [0, 6, 6, 0, 0, 0, 6, 0], [6, 0, 0, 6, 0, 6, 0, 6], [0, 0, 0, 0, 6, 6, 0, 6]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\n[[7, 0, 0, 0, 0, 0, 0, 0], [6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 0, 0, 0, 6, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 7], [6, 0, 0, 6, 6, 0, 0, 0], [0, 0, 6, 0, 0, 0, 0, 6], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 6, 0, 0, 0], [7, 7, 7, 7, 4, 7, 7, 7], [0, 6, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[7, 0, 0, 0, 0, 0, 0, 6], [6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 6, 6, 6, 0, 0], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [6, 0, 0, 6, 0, 0, 0, 0], [0, 6, 6, 0, 0, 0, 0, 0], [0, 0, 6, 0, 0, 6, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 7, 4, 4, 4, 7, 7], [6, 0, 0, 6, 0, 0, 0, 0], [6, 0, 6, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\n[[7, 0, 0, 0, 0, 0, 0, 8], [0, 0, 8, 0, 8, 0, 8, 0], [0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 8], [0, 8, 8, 0, 8, 0, 0, 8], [7, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0]] -> [[7, 7, 7, 7, 7, 7, 7, 4], [0, 0, 8, 0, 8, 0, 8, 0], [0, 8, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 8], [0, 8, 8, 0, 8, 0, 0, 8], [7, 7, 7, 7, 7, 7, 7, 7], [0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 8, 0, 0, 0, 0]]\n"
        }
    },
    "SCMz750": {
        "L1": {
            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [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, 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]] -> [[2, 0, 8, 0, 0, 0, 6, 0, 0, 0], [2, 0, 8, 0, 0, 0, 6, 0, 0, 0], [2, 8, 8, 0, 0, 0, 6, 0, 0, 0], [2, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 7, 0], [0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 5, 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, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 9, 5, 0, 2, 0, 5, 8, 7, 2], [9, 9, 5, 8, 2, 8, 5, 8, 7, 2], [9, 9, 5, 7, 2, 7, 7, 7, 7, 2], [9, 9, 5, 0, 2, 0, 0, 0, 7, 2], [9, 2, 5, 2, 2, 0, 0, 0, 7, 2], [9, 0, 5, 0, 0, 0, 0, 0, 7, 2], [7, 7, 7, 7, 7, 7, 7, 7, 7, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [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, 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]] -> [[2, 0, 8, 0, 0, 0, 6, 0, 0, 0], [2, 0, 8, 0, 0, 0, 6, 0, 0, 0], [2, 8, 8, 0, 0, 0, 6, 0, 0, 0], [2, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\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, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 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, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [8, 8, 8, 8, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [1, 1, 1, 1, 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]]\n",
            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\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, 0], [0, 0, 0, 0, 5, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 3], [0, 0, 5, 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, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 5, 0, 5, 8, 0, 4, 5, 3], [0, 0, 5, 0, 5, 8, 0, 4, 5, 3], [0, 0, 5, 0, 5, 8, 0, 4, 5, 3], [8, 8, 5, 8, 8, 8, 0, 4, 5, 3], [3, 3, 5, 3, 3, 3, 3, 4, 3, 3], [3, 3, 3, 3, 3, 3, 3, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\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, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 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, 7, 0, 6, 0, 0, 6, 0], [0, 0, 0, 7, 0, 6, 0, 0, 6, 0], [7, 7, 7, 7, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0]]\nExample input-output arrays:\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, 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, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\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, 0], [0, 0, 0, 0, 0, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0, 0, 0, 8, 0, 0, 0, 0], [2, 0, 0, 0, 0, 8, 0, 0, 0, 0], [2, 0, 0, 0, 0, 8, 0, 0, 0, 0], [2, 8, 8, 8, 8, 8, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n",
            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 3, 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, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 3, 3, 2, 0, 6, 0, 0], [6, 6, 6, 6, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [6, 6, 6, 6, 3, 2, 6, 6, 0, 0], [2, 2, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\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, 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, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\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, 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, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 3, 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, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 3, 3, 2, 0, 6, 0, 0], [6, 6, 6, 6, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [6, 6, 6, 6, 3, 2, 6, 6, 0, 0], [2, 2, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n",
            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\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, 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, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 3, 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, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 3, 3, 2, 0, 6, 0, 0], [6, 6, 6, 6, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [6, 6, 6, 6, 3, 2, 6, 6, 0, 0], [2, 2, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 7, 0], [0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 5, 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, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 9, 5, 0, 2, 0, 5, 8, 7, 2], [9, 9, 5, 8, 2, 8, 5, 8, 7, 2], [9, 9, 5, 7, 2, 7, 7, 7, 7, 2], [9, 9, 5, 0, 2, 0, 0, 0, 7, 2], [9, 2, 5, 2, 2, 0, 0, 0, 7, 2], [9, 0, 5, 0, 0, 0, 0, 0, 7, 2], [7, 7, 7, 7, 7, 7, 7, 7, 7, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 3, 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, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 3, 3, 2, 0, 6, 0, 0], [6, 6, 6, 6, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [6, 6, 6, 6, 3, 2, 6, 6, 0, 0], [2, 2, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n",
            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs as demonstration. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 3, 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, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 3, 3, 2, 0, 6, 0, 0], [6, 6, 6, 6, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [6, 6, 6, 6, 3, 2, 6, 6, 0, 0], [2, 2, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\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, 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, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\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, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 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, 7, 0, 6, 0, 0, 6, 0], [0, 0, 0, 7, 0, 6, 0, 0, 6, 0], [7, 7, 7, 7, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 6, 0, 0, 0, 0, 0, 8, 0, 0], [0, 0, 0, 0, 0, 0, 5, 0, 7, 0], [0, 9, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 2, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [9, 0, 5, 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, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[9, 9, 5, 0, 2, 0, 5, 8, 7, 2], [9, 9, 5, 8, 2, 8, 5, 8, 7, 2], [9, 9, 5, 7, 2, 7, 7, 7, 7, 2], [9, 9, 5, 0, 2, 0, 0, 0, 7, 2], [9, 2, 5, 2, 2, 0, 0, 0, 7, 2], [9, 0, 5, 0, 0, 0, 0, 0, 7, 2], [7, 7, 7, 7, 7, 7, 7, 7, 7, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 2], [2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n"
        },
        "L3": {
            "Replicate 0": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\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, 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, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 7, 0, 0, 0, 0, 0, 0, 0, 0], [7, 7, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\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, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [8, 8, 8, 8, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\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, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 9, 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, 7, 0, 6, 0, 0, 6, 0], [0, 0, 0, 7, 0, 6, 0, 0, 6, 0], [7, 7, 7, 7, 0, 6, 0, 0, 6, 0], [0, 0, 0, 0, 0, 6, 0, 0, 6, 0], [6, 6, 6, 6, 6, 6, 6, 6, 6, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [0, 0, 0, 0, 0, 6, 0, 0, 0, 0], [6, 6, 6, 6, 6, 6, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\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, 0], [0, 0, 0, 0, 5, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 2], [0, 0, 5, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 5, 0, 5, 8, 0, 4, 5, 2], [0, 0, 5, 0, 5, 8, 0, 4, 5, 2], [0, 0, 5, 0, 5, 8, 0, 4, 5, 2], [8, 8, 5, 8, 8, 8, 0, 4, 5, 2], [2, 2, 5, 2, 2, 2, 2, 4, 2, 2], [2, 2, 2, 2, 2, 2, 2, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n",
            "Replicate 1": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\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, 0], [0, 0, 0, 0, 0, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[2, 0, 0, 0, 0, 8, 0, 0, 0, 0], [2, 0, 0, 0, 0, 8, 0, 0, 0, 0], [2, 0, 0, 0, 0, 8, 0, 0, 0, 0], [2, 8, 8, 8, 8, 8, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\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, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 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, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [8, 8, 8, 8, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 7, 0, 0, 0, 0, 0], [7, 7, 7, 7, 7, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nExample input-output arrays:\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, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 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, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [8, 8, 8, 8, 1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0], [1, 1, 1, 1, 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]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\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, 0], [0, 0, 0, 0, 5, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 3], [0, 0, 5, 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, 5, 0, 5, 8, 0, 3, 5, 3], [0, 0, 5, 0, 5, 8, 0, 3, 5, 3], [0, 0, 5, 0, 5, 8, 0, 3, 5, 3], [8, 8, 5, 8, 8, 8, 0, 3, 5, 3], [3, 3, 5, 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]]\n",
            "Replicate 2": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 3, 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, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[3, 3, 3, 3, 3, 2, 0, 6, 0, 0], [6, 6, 6, 6, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [0, 0, 0, 0, 3, 2, 0, 6, 0, 0], [6, 6, 6, 6, 3, 2, 6, 6, 0, 0], [2, 2, 2, 2, 2, 2, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\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, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [8, 8, 8, 8, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [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]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [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, 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]] -> [[2, 0, 8, 0, 0, 0, 6, 0, 0, 0], [2, 0, 8, 0, 0, 0, 6, 0, 0, 0], [2, 8, 8, 0, 0, 0, 6, 0, 0, 0], [2, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by fixing some values.\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, 0], [0, 0, 0, 0, 0, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 3], [0, 0, 0, 0, 0, 0, 0, 3, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 0, 8, 0, 4, 0, 3], [0, 0, 0, 0, 0, 8, 0, 4, 0, 3], [0, 0, 0, 0, 0, 8, 0, 4, 0, 3], [8, 8, 8, 8, 8, 8, 0, 4, 0, 3], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3], [3, 3, 3, 3, 3, 3, 3, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n",
            "Replicate 3": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [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, 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]] -> [[2, 0, 8, 0, 0, 0, 6, 0, 0, 0], [2, 0, 8, 0, 0, 0, 6, 0, 0, 0], [2, 8, 8, 0, 0, 0, 6, 0, 0, 0], [2, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\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, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [8, 8, 8, 8, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [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]]\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [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, 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]] -> [[2, 0, 8, 0, 0, 0, 6, 0, 0, 0], [2, 0, 8, 0, 0, 0, 6, 0, 0, 0], [2, 8, 8, 0, 0, 0, 6, 0, 0, 0], [2, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\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, 0], [0, 0, 0, 0, 5, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 2], [0, 0, 5, 0, 0, 0, 0, 2, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 5, 0, 5, 8, 0, 4, 5, 2], [0, 0, 5, 0, 5, 8, 0, 4, 5, 2], [0, 0, 5, 0, 5, 8, 0, 4, 5, 2], [8, 8, 5, 8, 8, 8, 0, 4, 5, 2], [2, 2, 5, 2, 2, 2, 2, 4, 2, 2], [2, 2, 2, 2, 2, 2, 2, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n",
            "Replicate 4": "You must solve the following puzzle by discovering the deterministic rule that maps inputs to outputs. Both the inputs and outputs are 2D Python arrays of colored pixels. We provide example input-output pairs along with counterfactual examples, which represent interventions on the original examples. To solve the problem, express the deterministic rule as a Python program. Do not explain your reasoning, and only output a single Python program.\nExample input-output arrays:\n[[0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 8, 0, 0, 0, 0, 0, 0, 0], [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, 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]] -> [[2, 0, 8, 0, 0, 0, 6, 0, 0, 0], [2, 0, 8, 0, 0, 0, 6, 0, 0, 0], [2, 8, 8, 0, 0, 0, 6, 0, 0, 0], [2, 0, 0, 0, 0, 0, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 6, 0, 0, 0], [6, 6, 6, 6, 6, 6, 6, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\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, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 8, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [8, 8, 8, 8, 3, 0, 0, 0, 0, 0], [0, 0, 0, 0, 3, 0, 0, 0, 0, 0], [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]]\nExample input-output arrays:\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, 0], [0, 0, 0, 0, 5, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 3], [0, 0, 5, 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, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 5, 0, 5, 8, 0, 4, 5, 3], [0, 0, 5, 0, 5, 8, 0, 4, 5, 3], [0, 0, 5, 0, 5, 8, 0, 4, 5, 3], [8, 8, 5, 8, 8, 8, 0, 4, 5, 3], [3, 3, 5, 3, 3, 3, 3, 4, 3, 3], [3, 3, 3, 3, 3, 3, 3, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\nCounterfactual: Now imagine that we intervened on the previous input by changing some colors.\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, 0], [0, 0, 0, 0, 5, 8, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 5, 1], [0, 0, 5, 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, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]] -> [[0, 0, 5, 0, 5, 8, 0, 4, 5, 1], [0, 0, 5, 0, 5, 8, 0, 4, 5, 1], [0, 0, 5, 0, 5, 8, 0, 4, 5, 1], [8, 8, 5, 8, 8, 8, 0, 4, 5, 1], [1, 1, 5, 1, 1, 1, 1, 4, 1, 1], [1, 1, 1, 1, 1, 1, 1, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 4, 0, 0], [4, 4, 4, 4, 4, 4, 4, 4, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n"
        }
    }
}