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Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[0 0 0 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 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0] [0 0 2 0 0 0 1 1 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0] [0 0 2 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 0 2 0 0 0 2 0] [0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 2 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 1 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 0 0 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 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 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 1 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 1 0 0 0] [0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0] [0 0 2 0 0 0 1 1 0 0 1 1 0 0 0 2 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 2 2 0 2 2 0] [0 0 2 0 0 0 0 0 1 1 0 0 0 0 0 2 0 0 0 2 0 0 0 2 0] [0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 2 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 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 1 0 0 0] [0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 0 0 0 0 0 0 0 1 0 0] [0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 2 0 0 0 2 0] [0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 2 2 0 2 2 0] [0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 2 0 0 0 2 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 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]# [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 0 0 8 8 0] [0 0 0 8 8 0 0 0 8 8 0 0 0 0 0 0 8 0 0 0 0 8 0] [0 0 0 8 0 1 0 0 0 8 0 0 0 0 0 0 0 1 1 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0] [0 0 0 8 1 1 0 0 0 8 0 0 1 1 0 0 0 0 1 1 0 0 0] [0 0 0 8 8 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0] [0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 0 0 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 8 8 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0] [0 0 1 0 0 0 8 0 0 0 0 0 1 0 8 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 1 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 8 0 0 0 0 1 0 0 8 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 8 8 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 0 0 8 8 0] [0 0 0 8 8 0 0 0 8 8 0 0 0 0 0 0 8 0 0 0 0 8 0] [0 0 0 8 0 1 0 1 0 8 0 0 0 0 0 0 0 1 1 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0] [0 0 0 8 1 1 0 1 1 8 0 0 0 0 0 0 0 0 1 1 0 0 0] [0 0 0 8 8 0 0 0 8 8 0 0 0 0 0 0 0 0 1 1 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 0 0 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 8 8 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 8 0 1 0 0 0 1 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 1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 8 0 0 1 0 1 0 0 8 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 8 8 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]# [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [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 0 0 0 3 3 0 0 0 1 0 0 0 0 0 0 0] [0 0 0 3 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 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 1 1 0] [0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0] [0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 3 0 1 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 3 3 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 3 3 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 3 0 1 0 0 0 3 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0] [0 0 0 0 0 0 1 0 0 0 0 3 0 0 0 0 0 3 0 0 0] [0 0 1 1 0 0 0 0 0 0 0 3 3 0 0 0 3 3 0 0 0] [0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 3 3 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 3 0 1 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 3 0 1 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 3 3 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 3 3 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 3 0 1 0 1 0 3 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 3 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 3 3 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]# There is a <image> shows all the examples before. Here is your test case: [[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 4 4 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0] [0 0 4 0 1 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0] [0 0 0 0 1 1 0 0 0 0 0 0 4 4 0 0 0 0 4 4 0 0 0 0 0 0 0 0] [0 0 0 1 0 0 0 0 0 0 0 0 4 0 1 0 0 0 0 4 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 4 0 1 0 0 0 0 4 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 0 4 4 0 0 0 0 0 0 0 0] [0 0 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 4 4 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 4 4 0 0] [0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0] [0 0 0 0 1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 4 4 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 4 0 0 1 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 1 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0] [0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0] [0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 4 0 1 0 0 0 4 0 0] [0 0 0 4 0 0 1 0 0 0 0 0 0 0 4 0 0 0 0 4 4 0 0 0 4 4 0 0] [0 0 0 4 4 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] ->
[[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 4 4 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 4 0 1 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 1 1 0 0 0 0 0 0 4 4 0 0 0 0 4 4 0 0 0 0 0 0 0 0] [0 0 0 1 0 0 0 0 0 0 0 0 4 0 1 0 0 1 0 4 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 1 0 0 0 0 0 0 0 0 0] [0 0 0 1 0 0 0 0 0 0 0 0 4 0 1 0 0 1 0 4 0 0 0 0 0 0 0 0] [0 0 0 0 1 1 0 0 0 0 0 0 4 4 0 0 0 0 4 4 0 0 0 0 0 0 0 0] [0 0 4 0 1 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 4 4 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 0 4 4 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 1 0 0 0 4 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 1 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 4 4 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 4 0 0 1 0 0 0 0 1 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0] [0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0] [0 0 0 0 1 0 1 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0] [0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 4 0 1 0 0 0 4 0 0] [0 0 0 4 0 0 1 0 0 0 0 1 0 0 4 0 0 0 0 4 4 0 0 0 4 4 0 0] [0 0 0 4 4 0 0 0 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[0 0 0 0 3 0 0 0 0 0 0 0] [0 0 0 0 3 0 0 0 0 0 0 0] [0 0 2 2 2 2 2 2 0 0 0 0] [0 0 2 0 3 0 0 2 0 0 0 0] [0 0 2 0 3 0 0 2 0 0 0 0] [3 3 2 3 3 3 3 2 3 3 3 3] [0 0 2 0 3 0 0 2 0 0 0 0] [0 0 2 2 2 2 2 2 0 0 0 0] [0 0 0 0 3 0 0 0 0 0 0 0] [0 0 0 0 3 0 0 0 0 0 0 0] [0 0 0 0 3 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 3 0 0 0 0] [0 0 0 0 0 0 0 3 0 0 0 0] [3 3 2 2 2 2 2 2 3 3 3 3] [0 0 2 0 0 0 0 2 0 0 0 0] [0 0 2 0 0 0 0 2 0 0 0 0] [0 0 2 0 0 0 0 2 0 0 0 0] [0 0 2 0 0 0 0 2 0 0 0 0] [0 0 2 2 2 2 2 2 0 0 0 0] [0 0 0 0 0 0 0 3 0 0 0 0] [0 0 0 0 0 0 0 3 0 0 0 0] [0 0 0 0 0 0 0 3 0 0 0 0] [0 0 0 0 0 0 0 3 0 0 0 0]]# [[0 0 0 0 0 8 0 0 0 0 0 0] [0 0 0 0 0 8 0 0 0 0 0 0] [0 0 0 0 0 8 0 0 0 0 0 0] [0 0 1 1 1 1 1 1 1 0 0 0] [0 0 1 0 0 8 0 0 1 0 0 0] [0 0 1 0 0 8 0 0 1 0 0 0] [8 8 1 8 8 8 8 8 1 8 8 8] [0 0 1 0 0 8 0 0 1 0 0 0] [0 0 1 0 0 8 0 0 1 0 0 0] [0 0 1 1 1 1 1 1 1 0 0 0] [0 0 0 0 0 8 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 8 0 0 0] [0 0 0 0 0 0 0 0 8 0 0 0] [0 0 0 0 0 0 0 0 8 0 0 0] [8 8 1 1 1 1 1 1 1 8 8 8] [0 0 1 0 0 0 0 0 1 0 0 0] [0 0 1 0 0 0 0 0 1 0 0 0] [0 0 1 0 0 0 0 0 1 0 0 0] [0 0 1 0 0 0 0 0 1 0 0 0] [0 0 1 0 0 0 0 0 1 0 0 0] [0 0 1 1 1 1 1 1 1 0 0 0] [0 0 0 0 0 0 0 0 8 0 0 0] [0 0 0 0 0 0 0 0 8 0 0 0]]# [[0 0 0 0 0 0 4 0 0 0 0 0] [0 0 0 0 0 0 4 0 0 0 0 0] [0 0 0 0 0 0 4 0 0 0 0 0] [0 0 0 0 3 3 3 3 3 0 0 0] [0 0 0 0 3 0 4 0 3 0 0 0] [4 4 4 4 3 4 4 4 3 4 4 4] [0 0 0 0 3 0 4 0 3 0 0 0] [0 0 0 0 3 3 3 3 3 0 0 0] [0 0 0 0 0 0 4 0 0 0 0 0] [0 0 0 0 0 0 4 0 0 0 0 0] [0 0 0 0 0 0 4 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 4 0 0 0] [0 0 0 0 0 0 0 0 4 0 0 0] [0 0 0 0 0 0 0 0 4 0 0 0] [4 4 4 4 3 3 3 3 3 4 4 4] [0 0 0 0 3 0 0 0 3 0 0 0] [0 0 0 0 3 0 0 0 3 0 0 0] [0 0 0 0 3 0 0 0 3 0 0 0] [0 0 0 0 3 3 3 3 3 0 0 0] [0 0 0 0 0 0 0 0 4 0 0 0] [0 0 0 0 0 0 0 0 4 0 0 0] [0 0 0 0 0 0 0 0 4 0 0 0] [0 0 0 0 0 0 0 0 4 0 0 0]]# There is a <image> shows all the examples before. Here is your test case: [[0 0 0 0 0 0 6 0 0 0 0 0] [0 0 0 0 0 0 6 0 0 0 0 0] [0 0 7 7 7 7 7 7 7 7 0 0] [0 0 7 0 0 0 6 0 0 7 0 0] [0 0 7 0 0 0 6 0 0 7 0 0] [6 6 7 6 6 6 6 6 6 7 6 6] [0 0 7 0 0 0 6 0 0 7 0 0] [0 0 7 0 0 0 6 0 0 7 0 0] [0 0 7 0 0 0 6 0 0 7 0 0] [0 0 7 7 7 7 7 7 7 7 0 0] [0 0 0 0 0 0 6 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 6 0 0] [0 0 0 0 0 0 0 0 0 6 0 0] [6 6 7 7 7 7 7 7 7 7 6 6] [0 0 7 0 0 0 0 0 0 7 0 0] [0 0 7 0 0 0 0 0 0 7 0 0] [0 0 7 0 0 0 0 0 0 7 0 0] [0 0 7 0 0 0 0 0 0 7 0 0] [0 0 7 0 0 0 0 0 0 7 0 0] [0 0 7 0 0 0 0 0 0 7 0 0] [0 0 7 7 7 7 7 7 7 7 0 0] [0 0 0 0 0 0 0 0 0 6 0 0] [0 0 0 0 0 0 0 0 0 6 0 0]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[0 4 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 9 0 0 0 7 0 0 0 0 0 4 0] [0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0] [0 0 3 0 0 0 0 0 0 0 4 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7] [7 0 0 0 0 0 0 9 0 0 0 0 0 0 0 0 9] [0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 2 0 0 0 0 0 0 0 0 3 0 0 0 0 4 0] [6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 6] [0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0] [0 8 0 0 0 2 0 0 0 0 7 0 0 0 6 0 0] [0 0 6 0 0 0 0 0 0 4 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 5 0 0 0 5 0 0 0 0 5 0 0]] -> [[0 4 0 0 8 9 0 0 0 7 0 0 0 0 9 0 0] [0 0 0 0 0 9 0 0 0 7 0 0 0 0 9 4 0] [0 0 0 0 0 1 0 0 0 4 0 0 0 0 9 0 0] [0 0 3 0 0 2 0 0 0 4 4 0 0 0 9 0 0] [0 0 0 0 0 2 0 0 0 4 0 0 0 0 9 0 0] [0 0 0 0 0 2 0 0 0 4 0 0 0 0 6 0 7] [7 0 0 0 0 2 0 9 0 4 0 0 0 0 6 0 9] [0 0 0 3 0 2 0 0 0 4 0 0 0 0 6 0 0] [0 2 0 0 0 2 0 0 0 4 3 0 0 0 6 4 0] [6 0 0 0 0 2 0 0 0 4 0 0 0 0 6 0 0] [0 0 0 0 0 2 0 0 0 4 0 0 0 0 6 0 0] [0 0 0 0 0 2 0 0 0 4 4 0 0 0 6 0 6] [0 0 0 0 0 2 0 0 0 4 0 2 0 0 6 0 0] [0 8 0 0 0 2 0 0 0 4 7 0 0 0 6 0 0] [0 0 6 0 0 5 0 0 0 4 0 0 0 0 5 0 0] [0 0 0 0 0 5 0 0 0 5 0 0 0 0 5 0 0] [0 0 0 0 0 5 0 0 0 5 0 0 0 0 5 0 0]]# [[8 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 1 0 0 0 6] [0 0 0 8 0 0 8 0 0 0 0 2 0] [0 0 7 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 6 0 4 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 4 0 0 6 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 1 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 8 0 0 0 6 0 0 0 2] [0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 5 0 0 0 5 0 0 0 0]] -> [[8 0 0 0 4 0 0 0 1 0 0 0 0] [0 0 0 0 4 0 0 0 1 0 0 0 6] [0 0 0 8 4 0 8 0 6 0 0 2 0] [0 0 7 0 4 0 0 0 6 0 0 0 0] [0 0 0 0 4 0 0 0 6 0 4 0 0] [0 0 0 0 4 0 0 0 6 0 0 0 0] [0 0 0 0 4 0 0 6 6 0 0 0 0] [0 0 0 0 8 0 0 0 6 1 0 0 0] [0 0 0 0 8 0 3 0 6 0 0 0 0] [0 3 0 0 8 0 0 0 6 0 0 0 0] [0 0 0 0 8 0 0 0 6 0 0 0 2] [0 0 0 0 5 0 0 0 5 0 0 0 0] [0 0 0 0 5 0 0 0 5 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 3 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 6 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 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 5 0 0 0 0 0 5 0 0 0]] -> [[0 0 3 0 0 0 0 0 7 0 0 0] [0 0 3 0 0 0 0 0 7 0 0 0] [0 0 3 0 0 0 0 0 7 0 0 0] [0 0 3 0 0 0 0 0 7 0 0 0] [0 0 4 0 0 0 0 0 7 0 0 0] [0 0 4 0 0 0 0 0 6 0 0 0] [0 0 4 0 0 0 0 0 8 0 0 0] [0 0 4 0 0 0 0 0 8 0 0 0] [0 0 5 0 0 0 0 0 8 0 0 0] [0 0 5 0 0 0 0 0 5 0 0 0] [0 0 5 0 0 0 0 0 5 0 0 0] [0 0 5 0 0 0 0 0 5 0 0 0]]# [[0 0 0 0 0 0 0] [0 0 0 0 0 0 0] [0 0 0 0 0 0 0] [0 0 0 6 0 0 0] [0 0 0 0 0 0 0] [0 0 0 0 0 0 0] [0 0 0 5 0 0 0]] -> [[0 0 0 6 0 0 0] [0 0 0 6 0 0 0] [0 0 0 6 0 0 0] [0 0 0 6 0 0 0] [0 0 0 5 0 0 0] [0 0 0 5 0 0 0] [0 0 0 5 0 0 0]]# There is a <image> shows all the examples before. Here is your test case: [[0 0 0 0 2 3 0 9 0 4 0 0 0 3 0 0 8] [0 0 3 0 0 0 4 4 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 1 8 0 0 0 9 4 9 0 0] [0 0 0 6 0 0 0 0 1 0 1 0 6 0 0 0 7] [0 0 0 0 0 8 0 0 0 0 1 3 0 0 0 0 0] [0 0 0 0 7 0 3 0 0 3 0 0 0 0 4 0 0] [0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 2 0 0 1 9 0 0 0 7 0 0 1 2 0] [0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 4 0 4 0 0 0 0 1 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 9 0 0 0 3 0 0] [0 0 0 0 0 0 0 3 0 0 0 0 0 2 0 0 0] [0 0 0 1 0 0 0 0 6 0 0 4 9 0 3 0 3] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0] [0 0 0 0 0 5 0 0 5 0 0 5 0 0 0 0 0]] ->
[[0 0 0 0 2 3 0 9 8 4 0 3 0 3 0 0 8] [0 0 3 0 0 8 4 4 8 0 0 3 0 0 0 0 0] [0 0 0 0 0 8 0 0 8 0 0 3 0 0 0 0 0] [0 0 0 0 0 8 0 0 8 0 0 3 0 0 0 0 0] [0 0 0 0 0 8 0 1 8 0 0 3 9 4 9 0 0] [0 0 0 6 0 8 0 0 1 0 1 3 6 0 0 0 7] [0 0 0 0 0 8 0 0 1 0 1 3 0 0 0 0 0] [0 0 0 0 7 5 3 0 1 3 0 7 0 0 4 0 0] [0 0 4 0 0 5 0 0 1 0 0 7 0 0 0 0 0] [0 0 0 2 0 5 1 9 1 0 0 7 0 0 1 2 0] [0 0 0 3 0 5 0 0 1 0 0 4 0 0 0 0 0] [0 4 0 4 0 5 0 0 1 0 0 4 0 0 0 0 0] [0 0 0 0 0 5 0 0 6 0 9 4 0 0 3 0 0] [0 0 0 0 0 5 0 3 6 0 0 4 0 2 0 0 0] [0 0 0 1 0 5 0 0 6 0 0 4 9 0 3 0 3] [0 0 0 0 0 5 0 0 5 0 0 5 0 0 1 0 0] [0 0 0 0 0 5 0 0 5 0 0 5 0 0 0 0 0]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[0 8 0] [8 0 8] [0 0 0]] -> [[8 0 8 8 0 8] [0 8 0 0 8 0] [8 8 8 8 8 8] [8 0 8 8 0 8] [0 8 0 0 8 0] [8 8 8 8 8 8]]# [[7 0] [0 7]] -> [[0 7 0 7] [7 0 7 0] [0 7 0 7] [7 0 7 0]]# [[4 0 0 0] [0 4 4 4] [0 0 4 0] [0 4 0 0]] -> [[0 4 4 4 0 4 4 4] [4 0 0 0 4 0 0 0] [4 4 0 4 4 4 0 4] [4 0 4 4 4 0 4 4] [0 4 4 4 4 4 4 4] [4 0 0 0 4 0 0 0] [4 4 0 4 4 4 0 4] [4 0 4 4 4 0 4 4]]# There is a <image> shows all the examples before. Here is your test case: [[0 1 0 1] [1 0 0 1] [0 0 1 0] [1 0 0 0]] ->
[[1 0 1 0 1 0 1 0] [0 1 1 0 0 1 1 0] [1 1 0 1 1 1 0 1] [0 1 1 1 0 1 1 1] [1 0 1 0 1 0 1 0] [0 1 1 0 0 1 1 0] [1 1 0 1 1 1 0 1] [0 1 1 1 0 1 1 1]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[0 3 3 9 3 3 0 0 0 0 0 0 0 0 0] [0 3 3 3 3 3 0 3 9 3 3 0 0 0 0] [0 9 3 3 9 3 0 3 3 3 9 0 0 0 0] [0 0 0 0 0 0 0 9 3 9 3 0 0 0 0] [0 0 0 0 0 0 0 3 3 3 3 0 0 0 0] [3 3 9 0 0 0 0 0 0 0 0 0 0 0 0] [9 3 3 0 0 3 9 3 0 0 0 3 3 9 3] [3 9 3 0 0 3 3 9 0 0 0 9 3 3 3] [3 3 3 0 0 0 0 0 0 0 0 3 3 9 3] [9 3 3 0 0 0 0 0 0 0 0 3 9 3 3] [3 3 9 0 3 3 3 9 3 0 0 3 3 9 3] [0 0 0 0 9 3 9 3 3 0 0 3 3 3 9] [0 0 0 0 3 3 3 3 3 0 0 9 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 3 3 9 3 3 0 0 0 0 0 0 0 0 0] [0 3 3 3 3 3 0 3 9 3 3 0 0 0 0] [0 9 3 9 3 3 0 3 3 3 9 0 0 0 0] [0 0 0 0 0 0 0 9 3 9 3 0 0 0 0] [0 0 0 0 0 0 0 3 3 3 3 0 0 0 0] [3 3 9 0 0 0 0 0 0 0 0 0 0 0 0] [9 3 3 0 0 0 0 0 0 0 0 3 3 9 3] [3 9 3 0 0 0 0 0 0 0 0 9 3 3 3] [3 3 3 0 0 0 0 0 0 0 0 3 3 9 3] [9 3 3 0 0 0 0 0 0 0 0 3 9 3 3] [3 3 9 0 3 3 3 9 3 0 0 3 3 9 3] [0 0 0 0 9 3 9 3 3 0 0 3 3 3 9] [0 0 0 0 3 3 3 3 3 0 0 9 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 3 3 3 0 0 0 0 0 0 0 0 0 0 0] [0 9 3 9 0 0 3 3 3 3 3 0 0 0 0] [0 3 9 3 0 0 3 3 3 9 3 0 0 0 0] [0 3 3 9 0 0 3 3 3 3 3 0 0 0 0] [0 3 3 3 0 0 3 3 3 3 3 0 0 0 0] [0 0 0 0 0 0 3 3 3 3 3 0 0 0 0] [0 0 3 9 3 0 0 0 0 0 0 0 0 0 0] [0 0 9 3 3 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 3 3 3 3 3 3 3] [0 3 3 3 3 3 0 0 3 3 3 3 3 3 3] [0 3 3 3 3 3 0 0 3 9 3 9 9 3 3] [0 3 9 3 3 3 0 0 3 3 3 3 3 3 3] [0 3 3 3 3 3 0 0 3 3 9 3 3 3 3] [0 3 3 3 9 3 0 0 3 3 3 3 3 3 9] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[0 3 3 3 0 0 0 0 0 0 0 0 0 0 0] [0 9 3 9 0 0 0 0 0 0 0 0 0 0 0] [0 3 9 3 0 0 0 0 0 0 0 0 0 0 0] [0 3 3 9 0 0 0 0 0 0 0 0 0 0 0] [0 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 3 9 3 0 0 0 0 0 0 0 0 0 0] [0 0 9 3 3 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 3 3 3 3 3 3 3] [0 3 3 3 3 3 0 0 3 3 3 3 3 3 3] [0 3 3 3 3 3 0 0 3 9 3 9 9 3 3] [0 3 9 3 3 3 0 0 3 3 3 3 3 3 3] [0 3 3 3 3 3 0 0 3 3 9 3 3 3 3] [0 3 3 3 9 3 0 0 3 3 3 3 3 3 9] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]# [[0 0 0 0 0 0 0 0 0 0 0 0 3 3 3] [0 3 3 3 3 3 0 0 0 0 0 0 3 9 3] [0 3 3 9 3 3 0 3 3 3 3 0 3 9 3] [0 3 9 3 3 3 0 3 9 9 3 0 3 3 9] [0 0 0 0 0 0 0 3 3 3 3 0 9 3 3] [0 0 0 0 0 0 0 3 3 9 3 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [3 9 3 3 3 0 0 0 0 0 0 0 3 3 0] [3 3 3 9 3 0 0 0 0 0 0 0 3 9 0] [3 9 3 3 3 0 0 3 3 3 3 0 3 3 0] [3 3 3 9 3 0 0 3 9 3 9 0 3 9 0] [0 0 0 0 0 0 0 3 3 3 3 0 9 3 0] [0 0 0 0 0 0 0 3 9 9 3 0 0 0 0] [0 0 0 0 0 0 0 3 3 3 9 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[0 0 0 0 0 0 0 0 0 0 0 0 3 3 3] [0 0 0 0 0 0 0 0 0 0 0 0 3 9 3] [0 0 0 0 0 0 0 3 3 3 3 0 3 9 3] [0 0 0 0 0 0 0 3 9 9 3 0 3 3 9] [0 0 0 0 0 0 0 3 3 3 3 0 9 3 3] [0 0 0 0 0 0 0 3 3 9 3 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [3 9 3 3 3 0 0 0 0 0 0 0 3 3 0] [3 3 3 9 3 0 0 0 0 0 0 0 3 9 0] [3 9 3 3 3 0 0 3 3 3 3 0 3 3 0] [3 3 3 9 3 0 0 3 9 3 9 0 3 9 0] [0 0 0 0 0 0 0 3 3 3 3 0 9 3 0] [0 0 0 0 0 0 0 3 9 9 3 0 0 0 0] [0 0 0 0 0 0 0 3 3 3 9 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]# [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [3 3 9 3 3 3 3 0 0 0 3 3 9 3 9] [3 3 3 3 3 9 3 0 0 0 3 3 3 3 3] [3 9 3 9 3 3 3 0 0 0 3 9 3 3 9] [3 3 3 3 9 3 3 0 0 0 3 3 3 3 3] [3 3 9 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 3 3 3 3 3 3 3 0 0] [0 3 3 3 3 0 3 3 3 3 3 9 3 0 0] [0 3 9 3 9 0 3 9 3 3 3 3 3 0 0] [0 3 3 3 9 0 3 3 3 9 3 3 3 0 0] [0 9 3 9 3 0 3 3 3 3 3 3 3 0 0] [0 3 3 3 3 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [3 3 9 3 3 3 3 0 0 0 3 3 9 3 9] [3 3 3 3 3 9 3 0 0 0 3 3 3 3 3] [3 9 3 9 3 3 3 0 0 0 3 9 3 3 9] [3 3 3 3 9 3 3 0 0 0 3 3 3 3 3] [3 3 9 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 3 3 3 3 0 0 0 0 0 0 0 0 0 0] [0 3 9 3 9 0 0 0 0 0 0 0 0 0 0] [0 3 3 3 9 0 0 0 0 0 0 0 0 0 0] [0 9 3 9 3 0 0 0 0 0 0 0 0 0 0] [0 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]]# There is a <image> shows all the examples before. Here is your test case: [[0 0 0 0 0 0 0 0 0 3 3 3 3 3 0] [0 0 3 3 3 3 9 3 0 3 9 3 3 3 0] [0 0 3 9 3 3 3 3 0 3 3 3 3 3 0] [0 0 3 3 3 3 3 9 0 3 3 3 3 3 0] [0 0 0 0 0 0 0 0 0 3 3 3 3 3 0] [3 3 3 3 3 0 0 0 0 3 3 9 3 3 0] [3 9 3 9 3 0 0 0 0 0 0 0 0 0 0] [3 3 3 3 3 0 0 0 0 0 0 0 0 0 0] [3 9 3 9 3 0 3 3 9 9 3 0 0 0 0] [3 3 9 3 3 0 3 3 3 3 3 0 0 0 0] [3 3 3 3 3 0 3 9 3 9 3 0 3 3 3] [0 0 0 0 0 0 3 3 3 3 3 0 3 3 9] [3 3 9 3 0 0 0 0 0 0 0 0 3 3 3] [3 9 3 9 0 0 0 0 0 0 0 0 3 9 9] [9 3 3 3 0 0 0 0 0 0 0 0 3 3 3]] ->
[[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 3 3 3 3 9 3 0 0 0 0 0 0 0] [0 0 3 9 3 3 3 3 0 0 0 0 0 0 0] [0 0 3 3 3 3 3 9 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 0 0 0 0 0 0 0 0 0 0] [3 9 3 9 3 0 0 0 0 0 0 0 0 0 0] [3 3 3 3 3 0 0 0 0 0 0 0 0 0 0] [3 9 3 9 3 0 3 3 9 9 3 0 0 0 0] [3 3 9 3 3 0 3 3 3 3 3 0 0 0 0] [3 3 3 3 3 0 3 9 3 9 3 0 3 3 3] [0 0 0 0 0 0 3 3 3 3 3 0 3 3 9] [3 3 9 3 0 0 0 0 0 0 0 0 3 3 3] [3 9 3 9 0 0 0 0 0 0 0 0 3 9 9] [9 3 3 3 0 0 0 0 0 0 0 0 3 3 3]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[2 2 2 2 2 0 0] [2 0 0 0 2 0 0] [2 0 2 0 2 0 0] [2 0 0 0 2 0 0] [2 2 2 2 2 0 0] [0 0 0 0 0 0 0] [0 0 0 0 0 0 0]] -> [[2 2 2 2 2 0 0] [2 8 8 8 2 0 0] [2 8 2 8 2 0 0] [2 8 8 8 2 0 0] [2 2 2 2 2 0 0] [0 0 0 0 0 0 0] [0 0 0 0 0 0 0]]# [[2 2 2 2 2 2 2 0 0] [2 0 0 0 0 0 2 0 0] [2 0 0 0 0 0 2 0 0] [2 0 0 2 0 0 2 0 0] [2 0 0 0 0 0 2 0 0] [2 0 0 0 0 0 2 0 0] [2 2 2 2 2 2 2 0 0] [0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0]] -> [[2 2 2 2 2 2 2 0 0] [2 4 4 4 4 4 2 0 0] [2 4 4 4 4 4 2 0 0] [2 4 4 2 4 4 2 0 0] [2 4 4 4 4 4 2 0 0] [2 4 4 4 4 4 2 0 0] [2 2 2 2 2 2 2 0 0] [0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0]]# [[0 0 0 0 0 0 2 2 2 2 2 2 2 2 2] [0 0 0 0 0 0 2 0 0 0 0 0 0 0 2] [0 0 0 0 0 0 2 0 0 0 0 0 0 0 2] [0 0 0 0 0 0 2 0 0 0 0 0 0 0 2] [0 0 0 0 0 0 2 0 0 0 2 0 0 0 2] [0 0 0 0 0 0 2 0 0 0 0 0 0 0 2] [0 0 0 0 0 0 2 0 0 0 0 0 0 0 2] [0 0 0 0 0 0 2 0 0 0 0 0 0 0 2] [0 0 0 0 0 0 2 2 2 2 2 2 2 2 2] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 2 2 2 2 2 0 0 0 0 0 0 0 0 0] [0 2 0 0 0 2 0 0 0 0 0 0 0 0 0] [0 2 0 2 0 2 0 0 0 0 0 0 0 0 0] [0 2 0 0 0 2 0 0 0 0 0 0 0 0 0] [0 2 2 2 2 2 0 0 0 0 0 0 0 0 0]] -> [[0 0 0 0 0 0 2 2 2 2 2 2 2 2 2] [0 0 0 0 0 0 2 3 3 3 3 3 3 3 2] [0 0 0 0 0 0 2 3 3 3 3 3 3 3 2] [0 0 0 0 0 0 2 3 3 3 3 3 3 3 2] [0 0 0 0 0 0 2 3 3 3 2 3 3 3 2] [0 0 0 0 0 0 2 3 3 3 3 3 3 3 2] [0 0 0 0 0 0 2 3 3 3 3 3 3 3 2] [0 0 0 0 0 0 2 3 3 3 3 3 3 3 2] [0 0 0 0 0 0 2 2 2 2 2 2 2 2 2] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 2 2 2 2 2 0 0 0 0 0 0 0 0 0] [0 2 8 8 8 2 0 0 0 0 0 0 0 0 0] [0 2 8 2 8 2 0 0 0 0 0 0 0 0 0] [0 2 8 8 8 2 0 0 0 0 0 0 0 0 0] [0 2 2 2 2 2 0 0 0 0 0 0 0 0 0]]# [[0 2 2 2 2 2 0 0 0 0 0 0 0] [0 2 0 0 0 2 0 0 0 0 0 0 0] [0 2 0 2 0 2 0 0 0 0 0 0 0] [0 2 0 0 0 2 0 0 0 0 0 0 0] [0 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 2 2 2 2 2 2 2 0] [0 0 0 0 0 2 0 0 0 0 0 2 0] [0 0 0 0 0 2 0 0 0 0 0 2 0] [0 0 0 0 0 2 0 0 2 0 0 2 0] [0 0 0 0 0 2 0 0 0 0 0 2 0] [0 0 0 0 0 2 0 0 0 0 0 2 0] [0 0 0 0 0 2 2 2 2 2 2 2 0]] -> [[0 2 2 2 2 2 0 0 0 0 0 0 0] [0 2 8 8 8 2 0 0 0 0 0 0 0] [0 2 8 2 8 2 0 0 0 0 0 0 0] [0 2 8 8 8 2 0 0 0 0 0 0 0] [0 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 2 2 2 2 2 2 2 0] [0 0 0 0 0 2 4 4 4 4 4 2 0] [0 0 0 0 0 2 4 4 4 4 4 2 0] [0 0 0 0 0 2 4 4 2 4 4 2 0] [0 0 0 0 0 2 4 4 4 4 4 2 0] [0 0 0 0 0 2 4 4 4 4 4 2 0] [0 0 0 0 0 2 2 2 2 2 2 2 0]]# There is a <image> shows all the examples before. Here is your test case: [[0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 0] [0 2 2 2 2 2 2 2 2 2 0 2 0 0 0 2 0 0 0 0] [0 2 0 0 0 0 0 0 0 2 0 2 0 2 0 2 0 0 0 0] [0 2 0 0 0 0 0 0 0 2 0 2 0 0 0 2 0 0 0 0] [0 2 0 0 0 0 0 0 0 2 0 2 2 2 2 2 0 0 0 0] [0 2 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 0 0] [0 2 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0] [0 2 0 0 0 0 0 0 0 2 0 0 0 2 2 2 2 2 0 0] [0 2 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 2 0 0] [0 2 2 2 2 2 2 2 2 2 0 0 0 2 0 2 0 2 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0] [0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0] [0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0] [0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0] [0 0 0 0 0 2 0 0 2 0 0 2 0 0 0 0 0 0 0 0] [0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0] [0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0] [0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] ->
[[0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0 0 0] [0 2 2 2 2 2 2 2 2 2 0 2 8 8 8 2 0 0 0 0] [0 2 3 3 3 3 3 3 3 2 0 2 8 2 8 2 0 0 0 0] [0 2 3 3 3 3 3 3 3 2 0 2 8 8 8 2 0 0 0 0] [0 2 3 3 3 3 3 3 3 2 0 2 2 2 2 2 0 0 0 0] [0 2 3 3 3 2 3 3 3 2 0 0 0 0 0 0 0 0 0 0] [0 2 3 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0] [0 2 3 3 3 3 3 3 3 2 0 0 0 2 2 2 2 2 0 0] [0 2 3 3 3 3 3 3 3 2 0 0 0 2 8 8 8 2 0 0] [0 2 2 2 2 2 2 2 2 2 0 0 0 2 8 2 8 2 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 8 8 2 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 0 0] [0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0] [0 0 0 0 0 2 4 4 4 4 4 2 0 0 0 0 0 0 0 0] [0 0 0 0 0 2 4 4 4 4 4 2 0 0 0 0 0 0 0 0] [0 0 0 0 0 2 4 4 2 4 4 2 0 0 0 0 0 0 0 0] [0 0 0 0 0 2 4 4 4 4 4 2 0 0 0 0 0 0 0 0] [0 0 0 0 0 2 4 4 4 4 4 2 0 0 0 0 0 0 0 0] [0 0 0 0 0 2 2 2 2 2 2 2 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[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 2 2 2 0 0 0 0 0 0 0 0 0 0 8 0 0] [0 0 2 0 0 0 0 0 0 0 0 0 0 8 8 8 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0] [0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 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 3 0 0 8 0] [2 2 2 3 3 3 8 8 8] [0 2 0 0 3 0 0 8 0]]# [[0 0 0 0 0 0 0 0 0 0] [0 0 0 3 0 0 0 0 0 0] [0 0 3 0 3 0 0 0 0 0] [0 0 0 3 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0] [0 0 0 0 1 0 0 0 0 0] [0 0 0 1 0 1 0 0 0 0] [0 0 0 0 1 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 8 0 0 0 0] [0 0 0 0 8 0 8 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 3 0] [3 0 3] [0 3 0] [0 1 0] [1 0 1] [0 1 0] [0 8 0] [8 0 8] [0 8 0]]# [[0 0 0 0 0 0 0 0 0 0] [0 0 0 2 0 2 0 0 0 0] [0 0 0 0 2 0 0 0 0 0] [0 0 0 2 0 2 0 0 0 0] [0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0] [0 1 0 1 0 0 0 0 0 0] [0 0 1 0 0 0 0 0 0 0] [0 1 0 1 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0]] -> [[2 0 2] [0 2 0] [2 0 2] [1 0 1] [0 1 0] [1 0 1]]# There is a <image> shows all the examples before. Here is your test case: [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 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 3 0 0 0 0 0] [0 4 0 4 0 0 0 0 0 0 3 3 3 0 1 0 1 0] [0 4 4 4 0 0 2 0 2 0 3 0 3 0 1 1 1 0] [0 4 0 4 0 0 2 2 2 0 0 0 0 0 1 0 1 0] [0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 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 4 2 0 2 3 0 3 1 0 1] [4 4 4 2 2 2 3 3 3 1 1 1] [4 0 4 2 0 2 3 0 3 1 0 1]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[2 2 3] [5 5 5] [0 0 0]] -> [[2 2 3] [5 5 5] [0 2 0]]# [[3 6 4 2 4] [8 4 3 3 4] [5 5 5 5 5] [0 0 0 0 0] [0 0 0 0 0]] -> [[3 6 4 2 4] [8 4 3 3 4] [5 5 5 5 5] [0 0 0 0 0] [0 0 4 0 0]]# [[1 9 9 6 1 8 4] [4 6 7 8 9 7 1] [9 3 1 4 1 3 6] [5 5 5 5 5 5 5] [0 0 0 0 0 0 0] [0 0 0 0 0 0 0] [0 0 0 0 0 0 0]] -> [[1 9 9 6 1 8 4] [4 6 7 8 9 7 1] [9 3 1 4 1 3 6] [5 5 5 5 5 5 5] [0 0 0 0 0 0 0] [0 0 0 0 0 0 0] [0 0 0 1 0 0 0]]# There is a <image> shows all the examples before. Here is your test case: [[9 1 2 8 4 9 8 2 1] [4 4 3 1 2 7 6 7 9] [2 1 6 9 7 8 4 3 6] [9 8 6 3 4 2 9 1 7] [5 5 5 5 5 5 5 5 5] [0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0]] ->
[[9 1 2 8 4 9 8 2 1] [4 4 3 1 2 7 6 7 9] [2 1 6 9 7 8 4 3 6] [9 8 6 3 4 2 9 1 7] [5 5 5 5 5 5 5 5 5] [0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0] [0 0 0 0 9 0 0 0 0]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0] [8 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0] [8 8 8 8 8 0 0 0 8 8 8 8 0 0 0 0] [8 8 8 8 8 0 0 0 8 8 8 8 0 0 0 0] [8 8 8 8 8 0 0 0 8 8 8 8 0 0 0 0] [0 0 0 0 0 0 0 0 8 8 8 8 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 8 8 8 8 0 0 1 1 0 0 0] [0 0 0 0 0 8 8 8 8 0 0 1 1 0 0 0] [0 0 0 0 0 8 8 8 8 0 0 0 0 0 0 0] [0 0 0 0 0 8 8 8 8 0 0 0 0 0 0 0] [0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 2 2 0 0 0 0 2 2 2 0 0 0 0 0 0] [0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0] [0 0 0 0 0 0 0 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]] -> [[8 8 8] [0 2 2] [0 0 1]]# [[0 0 0 0 0 0 0 0 4 4 0 0 0 2 2 0] [0 0 0 2 2 2 0 0 4 4 0 0 0 2 2 0] [0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 0] [0 0 0 2 2 2 0 0 0 0 2 2 2 0 0 0] [0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0] [0 0 0 0 0 0 3 3 0 0 2 2 2 0 0 0] [8 8 8 8 0 0 3 3 0 0 0 0 0 0 0 0] [8 8 8 8 0 0 0 0 0 0 0 0 2 2 2 2] [8 8 8 8 0 0 0 3 3 3 0 0 2 2 2 2] [8 8 8 8 0 0 0 3 3 3 0 0 2 2 2 2] [0 0 0 0 0 0 0 3 3 3 0 0 2 2 2 2] [0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 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 3 3 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[2 2 2 2] [0 3 3 3] [0 0 8 8] [0 0 0 4]]# [[0 0 0 0 0 0 0 0 8 8 0 8 8 8 0 0] [0 1 1 0 0 0 0 0 8 8 0 8 8 8 0 0] [0 1 1 0 1 1 1 0 0 0 0 8 8 8 0 0] [0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0] [0 0 0 0 1 1 1 0 0 0 0 0 0 8 8 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 0] [0 0 0 0 0 0 0 3 3 3 0 0 0 0 0 0] [2 2 2 0 0 0 0 3 3 3 0 1 1 1 1 1] [2 2 2 0 0 0 0 3 3 3 0 1 1 1 1 1] [2 2 2 0 0 0 0 0 0 0 0 1 1 1 1 1] [0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1] [0 0 0 0 1 1 1 1 0 0 0 1 1 1 1 1] [1 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0] [1 1 0 0 1 1 1 1 0 2 2 2 0 0 0 0] [0 0 0 0 1 1 1 1 0 2 2 2 0 0 0 0] [0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0]] -> [[1 1 1 1 1] [0 0 8 8 8] [0 0 0 2 2] [0 0 0 0 3]]# There is a <image> shows all the examples before. Here is your test case: [[0 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0] [0 3 3 3 0 0 8 8 0 0 0 0 0 0 0 0] [0 3 3 3 0 0 0 0 0 0 3 3 0 0 8 8] [0 3 3 3 0 0 0 0 0 0 3 3 0 0 8 8] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 4 4 4 0 0 0 0 0 0 0 0 0] [0 0 0 0 4 4 4 0 0 4 4 0 0 0 0 0] [0 0 0 0 4 4 4 0 0 4 4 0 0 0 3 3] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3] [0 0 0 0 0 4 4 4 0 0 0 0 0 0 0 0] [0 0 0 0 0 4 4 4 0 0 0 0 0 0 0 0] [0 3 3 0 0 4 4 4 0 3 3 3 3 0 0 0] [0 3 3 0 0 0 0 0 0 3 3 3 3 0 0 0] [0 0 0 0 4 4 0 0 0 3 3 3 3 0 0 0] [0 0 0 0 4 4 0 0 0 3 3 3 3 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] ->
[[3 3 3 3 3] [0 4 4 4 4] [0 0 0 8 8]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[0 0 0] [0 2 0] [0 0 0]] -> [[2 2 2] [2 0 2] [2 2 2]]# [[0 0 0] [0 0 0] [0 3 0] [0 0 0] [0 0 0]] -> [[3 3 3] [3 0 3] [3 0 3] [3 0 3] [3 3 3]]# [[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]] -> [[1 1 1 1 1 1 1] [1 0 0 0 0 0 1] [1 0 0 0 0 0 1] [1 0 0 0 0 0 1] [1 1 1 1 1 1 1]]# [[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]] -> [[6 6 6 6 6] [6 0 0 0 6] [6 0 0 0 6] [6 0 0 0 6] [6 6 6 6 6]]# There is a <image> shows all the examples before. Here is your test case: [[0 0 0 0 0 0 0] [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]] ->
[[8 8 8 8 8 8 8] [8 0 0 0 0 0 8] [8 0 0 0 0 0 8] [8 0 0 0 0 0 8] [8 0 0 0 0 0 8] [8 0 0 0 0 0 8] [8 0 0 0 0 0 8] [8 0 0 0 0 0 8] [8 8 8 8 8 8 8]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 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 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 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 0 0 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 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 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 0 0 0 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 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 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 0 0 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 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 0 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 3 3 3 0 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0 0 3 3 3 0 0 0 0 0] [3 0 0 0 0 0 0 0 0 0 3 3 3 0 0 0 0 0 0 0 0 3 3 3 0 0 0 0 0] [3 0 0 0 0 0 0 0 0 0 3 3 3 0 0 0 0 0 0 0 0 3 3 3 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 0 0 3 3 3 0 0 0 3 3 3 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 0 0 3 3 3 0 0 0 3 3 3 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 3 3 0 0 0 3 3 3 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 3 0 0 0 0 0 0 0 0 3 3] [0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 3 3 3 0 3 3 3 0 0 0 0 0 3 3] [0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 3 3 3 0 3 3 3 0 0 0 0 0 3 3] [0 0 0 0 0 0 0 0 0 0 3 3 3 3 3 0 0 0 0 0 0 0 3 3 3 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 3 3 3 3 3 0 0 0 0 0 0 0 3 3 3 0 0 0 0] [0 0 0 0 0 0 0 0 3 3 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0 3 3 3 0] [0 0 0 0 0 0 0 0 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 0 0 3 3 3 0] [0 0 0 0 0 0 0 0 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3] [0 0 0 0 0 0 0 0 3 3 3 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3] [0 0 0 0 0 0 3 3 3 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 3 3 3 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 3 3 3 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 3 3 3 3 3 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0] [3 3 3 0 3 3 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0] [3 3 3 0 3 3 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0]]# [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0] [0 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 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 3 3 3 3 3 0 0 0 0 0 0 0 0 0 0 0] [0 3 3 3 3 3 0 0 0 0 0 3 3 3 3 3 0 0 0 0 0 0] [0 3 3 3 3 3 0 0 0 0 0 3 3 3 3 3 0 0 0 0 0 0] [3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 3 3 0] [3 0 0 0 0 0 0 0 0 0 0 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 3] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]# [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 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 0 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 0 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 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 3 3 3 0 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 3 3 3 0 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 3 3 3 0 0 0 0 0 0 0 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0] [0 0 3 3 3 0 0 0 0 0 0 0 0 0 3 3 3 0 0 0 0 0 0 0 0 0 0] [3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 0 0 0 0 0 0 0] [3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 0 0 3 3 3 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 3 3 3 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 0 3 3 3 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 0 3 3 3 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 3 3 0 0 0 0 0 0 3] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 3 3 0 0 0 0 0 0 3] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 3 3 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 3 3 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 3 3 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 3 3 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 3 3 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 3 3 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0] [0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0] [0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0] [0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0]]# There is a <image> shows all the examples before. Here is your test case: [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 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 0 0 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 0 0 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 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] ->
[[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 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 0 0 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 0 0 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 0 0 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 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 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 3 3 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 3 3 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 3 3 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 3 3 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 3 3 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 3 3 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 3 3 0 0 0 0 0 0 3 3 0 0 0 3 3 3 3 0 0 0 0 0 0 0 0 0] [3 3 0 0 0 0 0 0 0 0 0 0 3 3 0 3 3 3 3 0 0 0 0 0 0 0 0 0] [3 3 0 0 0 0 0 0 0 0 0 3 3 3 3 0 0 0 0 3 3 3 3 0 0 0 0 0] [3 3 0 0 0 0 0 0 0 0 0 3 3 3 3 0 0 0 0 3 3 3 3 0 0 0 0 0] [3 3 0 0 0 0 0 3 3 3 3 0 3 3 0 0 0 0 0 0 0 0 0 3 3 3 3 0] [0 0 0 0 0 0 0 3 3 3 3 0 0 0 3 3 0 0 0 0 0 0 0 3 3 3 3 0] [0 0 0 3 3 3 3 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 3] [0 0 0 3 3 3 3 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 3] [3 3 3 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0] [3 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0 0 0 0]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[9 9 6] [3 8 8] [8 3 3]] -> [[0 0 0 0 0 0 9 9 6] [0 0 0 0 0 0 3 8 8] [0 0 0 0 0 0 8 3 3] [0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0]]# [[8 5 5] [8 8 8] [5 9 9]] -> [[0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 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 5 5 8 5 5] [0 0 0 8 8 8 8 8 8] [0 0 0 5 9 9 5 9 9]]# [[7 1 7] [1 7 7] [7 1 7]] -> [[0 0 0 7 1 7 0 0 0] [0 0 0 1 7 7 0 0 0] [0 0 0 7 1 7 0 0 0] [7 1 7 0 0 0 0 0 0] [1 7 7 0 0 0 0 0 0] [7 1 7 0 0 0 0 0 0] [0 0 0 7 1 7 0 0 0] [0 0 0 1 7 7 0 0 0] [0 0 0 7 1 7 0 0 0]]# [[3 2 7] [2 2 7] [5 5 7]] -> [[3 2 7 0 0 0 0 0 0] [2 2 7 0 0 0 0 0 0] [5 5 7 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0]]# [[1 6 6] [5 1 6] [5 5 5]] -> [[1 6 6 0 0 0 0 0 0] [5 1 6 0 0 0 0 0 0] [5 5 5 0 0 0 0 0 0] [0 0 0 1 6 6 0 0 0] [0 0 0 5 1 6 0 0 0] [0 0 0 5 5 5 0 0 0] [0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0]]# [[4 4 2] [2 2 2] [2 4 2]] -> [[4 4 2 4 4 2 0 0 0] [2 2 2 2 2 2 0 0 0] [2 4 2 2 4 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 4 4 2 0 0 0] [0 0 0 2 2 2 0 0 0] [0 0 0 2 4 2 0 0 0]]# There is a <image> shows all the examples before. Here is your test case: [[9 7 9] [9 9 7] [7 9 7]] ->
[[0 0 0 9 7 9 0 0 0] [0 0 0 9 9 7 0 0 0] [0 0 0 7 9 7 0 0 0] [0 0 0 0 0 0 9 7 9] [0 0 0 0 0 0 9 9 7] [0 0 0 0 0 0 7 9 7] [9 7 9 0 0 0 9 7 9] [9 9 7 0 0 0 9 9 7] [7 9 7 0 0 0 7 9 7]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[1 1 1 1 1 1 0 0 0 0 0 0] [1 1 0 0 1 1 0 0 2 2 0 0] [1 0 0 0 0 1 0 0 2 2 0 0] [1 1 1 1 1 1 0 0 0 0 0 0] [1 0 0 0 0 1 0 0 3 3 0 0] [1 1 0 0 1 1 0 3 3 3 3 0] [1 1 1 1 1 1 0 0 0 0 0 0] [1 1 0 0 1 1 0 6 6 6 6 0] [1 1 0 0 1 1 0 0 6 6 0 0] [1 1 1 1 1 1 0 0 0 0 0 0]] -> [[1 1 1 1 1 1] [1 1 3 3 1 1] [1 3 3 3 3 1] [1 1 1 1 1 1] [1 6 6 6 6 1] [1 1 6 6 1 1] [1 1 1 1 1 1] [1 1 2 2 1 1] [1 1 2 2 1 1] [1 1 1 1 1 1]]# [[5 5 5 5 5 5 0 0 0 0 0 0] [5 5 0 0 0 5 0 3 0 0 3 0] [5 5 5 0 0 5 0 3 0 0 3 0] [5 5 5 5 0 5 0 3 3 3 3 0] [5 5 5 5 5 5 0 0 0 0 0 0] [5 0 0 0 5 5 0 2 2 2 0 0] [5 0 0 5 5 5 0 2 2 0 0 0] [5 0 5 5 5 5 0 2 0 0 0 0] [5 5 5 5 5 5 0 0 0 0 0 0] [5 0 5 5 0 5 0 0 1 1 1 0] [5 0 5 5 0 5 0 0 0 1 1 0] [5 0 0 0 0 5 0 0 0 0 1 0] [5 5 5 5 5 5 0 0 0 0 0 0]] -> [[5 5 5 5 5 5] [5 5 1 1 1 5] [5 5 5 1 1 5] [5 5 5 5 1 5] [5 5 5 5 5 5] [5 2 2 2 5 5] [5 2 2 5 5 5] [5 2 5 5 5 5] [5 5 5 5 5 5] [5 3 5 5 3 5] [5 3 5 5 3 5] [5 3 3 3 3 5] [5 5 5 5 5 5]]# There is a <image> shows all the examples before. Here is your test case: [[8 8 8 8 8 0 0 0 0 0] [8 0 0 0 8 0 2 2 2 0] [8 8 0 8 8 0 0 0 2 0] [8 0 0 0 8 0 0 0 2 0] [8 8 8 8 8 0 0 0 0 0] [8 0 0 0 8 0 4 0 4 0] [8 8 8 0 8 0 4 0 4 0] [8 8 8 0 8 0 4 4 4 0] [8 8 8 8 8 0 0 0 0 0] [8 0 8 0 8 0 3 3 3 0] [8 0 8 0 8 0 0 3 0 0] [8 0 0 0 8 0 3 3 3 0] [8 8 8 8 8 0 0 0 0 0] [8 8 0 0 8 0 0 7 7 0] [8 0 0 0 8 0 7 7 7 0] [8 0 0 8 8 0 7 7 0 0] [8 8 8 8 8 0 0 0 0 0]] ->
[[8 8 8 8 8] [8 3 3 3 8] [8 8 3 8 8] [8 3 3 3 8] [8 8 8 8 8] [8 2 2 2 8] [8 8 8 2 8] [8 8 8 2 8] [8 8 8 8 8] [8 4 8 4 8] [8 4 8 4 8] [8 4 4 4 8] [8 8 8 8 8] [8 8 7 7 8] [8 7 7 7 8] [8 7 7 8 8] [8 8 8 8 8]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0] [0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 4 4 4 4 4 4 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 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 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 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 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 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 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 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 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 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 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 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 1 1 1 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 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 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 6 6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]# [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 3 0 0 0 4 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 8 0 0 0 6 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 6 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 6 0 0 0 0 0 0 0 0 0] [0 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 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 8 8 8 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 3 0 0 0 4 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 3 0 0 0 6 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 3 0 0 0 6 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 3 0 0 0 6 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 3 0 0 0 6 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 8 0 0 0 6 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 6 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 6 0 0 0 0 0 0 0 0 0] [0 0 0 0 4 4 4 4 6 6 6 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]# [[0 0 0 0 0 0 0 0 6 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 3 3 3 3 3 3 3 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 3 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 3 3 3 0 0 0 0 0 0 8 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[0 0 0 0 0 0 0 0 6 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0] [0 0 6 6 6 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 4 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 8 8 8 8 8 8 3 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 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 3 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 3 3 3 3 3 3 3 3 3 8 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]# There is a <image> shows all the examples before. Here is your test case: [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 2 2 2 2 0 0 0 6 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 3 0 0 0 0 0 0 3 0 0 0 0 0 0 0] [0 0 0 0 0 3 3 3 3 3 3 3 3 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] ->
[[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 6 6 0 0 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 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 2 2 2 2 2 2 2 6 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 4 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 3 0 0 0 0 0 0 0] [0 0 0 0 0 4 0 0 0 0 0 0 3 0 0 0 0 0 0 0] [0 0 0 0 0 4 0 0 0 0 0 0 3 0 0 0 0 0 0 0] [0 0 0 0 0 4 0 0 0 0 0 0 3 0 0 0 0 0 0 0] [0 0 0 0 0 4 3 3 3 3 3 3 3 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 8 8 0 0 0 0 8 8 0 0 0 0 0] [0 0 0 0 0 8 8 0 0 0 0 8 8 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 8 8 0 0 0 0 8 8 0 0 0 0 0] [0 0 0 0 0 8 8 0 0 0 0 8 8 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 8 8 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 7 7 0 0 0 0 0 0 0 0 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 7 7 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 8 8 7 7 7 7 8 8 0 0 0 0 0] [0 0 0 0 0 8 8 7 7 7 7 8 8 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 7 7 0 0 0 0 0] [0 0 0 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 7 7 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 7 7 0 0 0 0 0] [0 0 0 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 7 7 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 7 7 0 0 0 0 0] [0 0 0 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 7 7 0 0 0 0 0] [0 0 0 0 0 8 8 7 7 7 7 8 8 0 0 0 0 0] [0 0 0 0 0 8 8 7 7 7 7 8 8 0 0 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 7 7 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 7 7 0 0 0 0 0 0 0 0 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 2 2 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 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]# [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 8 8 0 0 0 0 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 8 8 0 0 0 0 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 8 8 0 0 8 8 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 8 8 0 0 8 8 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 0 0] [0 0 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 0 0] [0 0 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 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 0 0 8 8 0 0 0 0 0 8 8 0 0 0 0 0 8 8 0 0 0 0 0] [0 0 2 2 0 0 0 8 8 0 0 0 0 0 8 8 0 0 0 0 0 8 8 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 8 8 7 7 7 7 7 7 7 7 7 8 8 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 8 8 7 7 7 7 7 7 7 7 7 8 8 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 7 7 0 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 7 7 0 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 7 7 0 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 8 8 7 7 8 8 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 8 8 7 7 8 8 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 7 7 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 7 7 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 7 7 0 0 0 0 0 7 7 0 0 0 0 0 0 0 0 8 8 0 0] [0 0 0 0 0 0 0 8 8 0 0 0 0 0 7 7 0 0 0 0 0 0 0 0 8 8 0 0] [0 0 0 0 0 0 0 8 8 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 7 7 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 7 7 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 7 7 0 0 0 0 0 7 7 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 2 2 7 7 7 8 8 0 0 0 0 0 8 8 7 7 7 7 7 8 8 0 0 0 0 0] [0 0 2 2 7 7 7 8 8 0 0 0 0 0 8 8 7 7 7 7 7 8 8 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]# [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 8 8 0 0 0 0 0 2 2 0 0 0 8 8 0 0 0] [0 8 8 0 0 0 0 0 2 2 0 0 0 8 8 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 8 8 0 0 0 0 0 2 2 7 7 7 8 8 0 0 0] [0 8 8 0 0 0 0 0 2 2 7 7 7 8 8 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]# [[0 0 0 0 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 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 2 2 0 0 0 0 0 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 8 8 0 0 0 0 0 0 0 0 0 0 0 0 8 8 0 0 0 0] [0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 8 8 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 8 8 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 8 8 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 8 8 0 0 0 8 8 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 8 8 0 0 0 8 8 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 8 8 0 0 0 0 0 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0] [0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[0 0 0 0 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 7 7 7 7 7 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 2 2 7 7 7 7 7 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 7 7 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 8 8 0 0 0 7 7 0 0 0 0 0 0 0 8 8 0 0 0 0] [0 0 0 0 0 8 8 0 0 0 7 7 0 0 0 0 0 0 0 8 8 0 0 0 0] [0 0 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 7 7 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 7 7 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 7 7 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 8 8 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 8 8 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 7 7 0 0 0 0 0 7 7 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 7 7 0 0 0 0 0 7 7 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 7 7 0 0 0 0 0 8 8 7 7 7 8 8 0 0 0 0 0 0 0 0] [0 0 0 7 7 0 0 0 0 0 8 8 7 7 7 8 8 0 0 0 0 0 0 0 0] [0 0 0 7 7 0 0 0 0 0 0 0 0 0 0 7 7 0 0 0 0 0 0 0 0] [0 0 0 7 7 0 0 0 0 0 0 0 0 0 0 7 7 0 0 0 0 8 8 0 0] [0 0 0 7 7 0 0 0 0 0 0 0 0 0 0 7 7 0 0 0 0 8 8 0 0] [0 0 0 7 7 0 0 0 0 0 0 0 0 0 0 7 7 0 0 0 0 0 0 0 0] [0 0 0 8 8 7 7 7 7 7 7 7 7 7 7 8 8 0 0 0 0 0 0 0 0] [0 0 0 8 8 7 7 7 7 7 7 7 7 7 7 8 8 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]# There is a <image> shows all the examples before. Here is your test case: [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 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 0 0 0 0 8 8 0 0 0 0 0 0 8 8 0 0] [0 0 0 0 2 2 0 0 0 0 0 8 8 0 0 0 0 0 0 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 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 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 8 8 0 0 8 8 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 8 8 0 0 8 8 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 0 0 0 0 0 0] [0 0 0 0 8 8 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 8 8 0 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 8 8 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 8 0 0 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0] [0 0 0 0 8 8 0 0 0 0 0 0 0 8 8 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] ->
[[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 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 7 7 7 7 7 8 8 0 0 0 0 0 0 8 8 0 0] [0 0 0 0 2 2 7 7 7 7 7 8 8 0 0 0 0 0 0 8 8 0 0] [0 0 0 0 0 0 0 0 0 0 0 7 7 0 0 0 0 0 0 0 0 0 0] [0 8 8 0 0 0 0 0 0 0 0 7 7 0 0 0 0 0 0 0 0 0 0] [0 8 8 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 8 8 7 7 8 8 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 8 8 7 7 8 8 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 7 0 0 0 0 0 0 8 8 0 0 0 0 0 0] [0 0 0 0 0 0 0 7 7 0 0 0 0 0 0 8 8 0 0 0 0 0 0] [0 0 0 0 8 8 7 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 8 8 7 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 0 0] [0 0 0 0 7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 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 8 8 7 7 7 7 7 7 7 8 8 0 0 0 0 0 0 0 0] [0 0 0 0 8 8 7 7 7 7 7 7 7 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]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[0 0 1 0 1 0 0 1 1 0 1 1] [1 0 1 0 1 1 0 1 1 1 0 1] [1 0 0 0 3 0 0 1 0 0 0 0] [0 0 1 3 1 3 0 0 0 0 0 0] [1 0 3 1 1 1 3 0 1 0 1 0] [1 1 0 1 1 0 0 1 1 0 1 0] [1 1 0 1 0 0 0 1 1 0 0 0] [0 0 1 1 1 0 1 0 1 0 0 0] [0 0 0 0 0 3 0 1 0 0 0 0] [0 0 0 0 3 0 3 0 1 0 1 0] [0 0 0 3 1 0 1 1 0 0 1 0] [1 0 3 1 0 1 0 0 1 0 0 1] [0 0 1 0 1 0 1 0 0 1 0 1]] -> [[0 0 1 0 1 0 0 1 1 0 1 1] [1 0 1 0 1 1 0 1 1 1 0 1] [1 0 0 0 3 0 0 1 0 0 0 0] [0 0 1 3 8 3 0 0 0 0 0 0] [1 0 3 8 8 8 3 0 1 0 1 0] [1 1 0 1 1 0 0 1 1 0 1 0] [1 1 0 1 0 0 0 1 1 0 0 0] [0 0 1 1 1 0 1 0 1 0 0 0] [0 0 0 0 0 3 0 1 0 0 0 0] [0 0 0 0 3 8 3 0 1 0 1 0] [0 0 0 3 8 8 8 8 0 0 1 0] [1 0 3 8 8 8 8 8 8 0 0 1] [0 0 1 0 1 0 1 0 0 1 0 1]]# [[1 0 1 0 1 0 1 1 0 1 0 0] [1 0 0 1 1 0 1 1 0 0 1 1] [1 0 0 0 0 0 3 0 1 0 1 1] [1 0 0 1 0 3 0 1 1 1 1 1] [1 1 1 0 3 1 0 0 1 0 1 1] [0 1 1 3 1 1 1 1 0 1 0 0] [0 1 0 0 3 1 0 0 1 0 0 1] [1 1 1 1 1 3 0 0 1 0 0 1] [0 0 1 0 0 1 3 0 1 0 1 1] [1 0 0 1 0 1 1 0 1 0 1 0] [1 1 1 1 0 0 1 0 1 1 1 0] [1 1 0 1 1 0 1 0 0 1 0 0] [0 1 0 0 3 1 1 0 0 0 0 1] [0 1 0 1 1 1 1 1 0 0 1 1] [0 1 3 0 0 0 3 0 0 1 1 1]] -> [[1 0 1 0 1 0 1 1 0 1 0 0] [1 0 0 1 1 0 1 1 0 0 1 1] [1 0 0 0 0 0 3 0 1 0 1 1] [1 0 0 1 0 3 8 1 1 1 1 1] [1 1 1 0 3 8 8 0 1 0 1 1] [0 1 1 3 8 8 8 1 0 1 0 0] [0 1 0 0 3 8 8 0 1 0 0 1] [1 1 1 1 1 3 8 0 1 0 0 1] [0 0 1 0 0 1 3 0 1 0 1 1] [1 0 0 1 0 1 1 0 1 0 1 0] [1 1 1 1 0 0 1 0 1 1 1 0] [1 1 0 1 1 0 1 0 0 1 0 0] [0 1 0 0 3 1 1 0 0 0 0 1] [0 1 0 8 8 8 1 1 0 0 1 1] [0 1 3 8 8 8 3 0 0 1 1 1]]# [[1 1 0 0 0 0 0 0 0 1 1 0 1 1 1 1] [1 0 0 1 1 0 0 1 1 1 1 1 1 1 1 1] [1 1 1 0 0 3 1 0 1 1 0 0 0 0 1 0] [0 0 0 0 3 1 3 0 1 1 0 0 1 1 1 0] [0 1 0 3 1 1 1 1 0 1 0 1 1 1 0 0] [1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1] [0 1 0 0 1 1 0 1 1 0 1 1 0 1 0 1] [1 0 1 1 0 1 1 1 0 0 0 0 1 0 0 0] [1 0 0 1 0 0 1 1 3 0 0 0 3 1 1 0] [0 1 0 1 1 0 1 3 1 1 1 0 0 3 1 3] [1 0 0 0 0 1 3 0 0 0 0 1 0 0 3 0] [0 0 1 0 1 3 1 1 1 1 0 0 0 0 0 0] [1 1 0 1 1 1 3 0 0 1 1 1 1 0 0 0] [0 0 0 1 1 1 1 1 1 0 0 0 0 1 1 1] [0 1 1 1 0 0 1 1 3 1 0 1 0 1 1 1]] -> [[1 1 0 0 0 0 0 0 0 1 1 0 1 1 1 1] [1 0 0 1 1 0 0 1 1 1 1 1 1 1 1 1] [1 1 1 0 0 3 1 0 1 1 0 0 0 0 1 0] [0 0 0 0 3 8 3 0 1 1 0 0 1 1 1 0] [0 1 0 3 8 8 8 8 0 1 0 1 1 1 0 0] [1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1] [0 1 0 0 1 1 0 1 1 0 1 1 0 1 0 1] [1 0 1 1 0 1 1 1 0 0 0 0 1 0 0 0] [1 0 0 1 0 0 1 1 3 0 0 0 3 8 8 8] [0 1 0 1 1 0 1 3 8 1 1 0 0 3 8 3] [1 0 0 0 0 1 3 8 8 0 0 1 0 0 3 0] [0 0 1 0 1 3 8 8 8 1 0 0 0 0 0 0] [1 1 0 1 1 1 3 8 8 1 1 1 1 0 0 0] [0 0 0 1 1 1 1 8 8 0 0 0 0 1 1 1] [0 1 1 1 0 0 1 1 3 1 0 1 0 1 1 1]]# There is a <image> shows all the examples before. Here is your test case: [[0 0 1 1 1 0 0 1 0 0 0 1 0 0 1 0 1 0] [1 0 1 3 1 1 0 1 0 1 0 0 1 1 1 1 1 0] [0 0 1 1 1 0 0 0 0 0 1 1 1 0 1 1 0 0] [0 3 0 1 0 3 1 0 1 1 0 1 0 3 1 0 0 3] [0 1 1 0 1 0 1 0 0 1 1 1 1 0 3 0 3 0] [0 1 1 1 1 0 1 1 0 1 1 0 1 1 1 3 1 0] [0 0 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0] [1 0 1 1 0 1 0 0 1 0 1 0 0 1 1 0 1 0] [1 1 0 1 1 1 1 0 0 1 1 0 1 1 0 0 0 0] [1 3 0 0 1 1 0 1 0 3 0 0 0 0 0 0 0 0] [0 1 3 0 0 0 1 1 3 0 1 1 0 1 0 0 1 0] [0 0 0 3 0 1 1 3 0 1 0 0 1 1 1 0 1 0] [0 0 3 1 1 0 3 0 0 1 0 1 0 1 1 0 0 0] [0 1 1 0 0 1 1 3 1 0 1 1 1 1 1 0 1 0] [1 1 1 1 1 0 1 0 1 1 0 0 0 0 0 1 0 1]] ->
[[0 0 1 1 1 0 0 1 0 0 0 1 0 0 1 0 1 0] [1 0 1 3 1 1 0 1 0 1 0 0 1 1 1 1 1 0] [0 0 8 8 8 0 0 0 0 0 1 1 1 0 1 1 0 0] [0 3 8 8 8 3 1 0 1 1 0 1 0 3 8 8 8 3] [0 1 1 0 1 0 1 0 0 1 1 1 1 0 3 8 3 0] [0 1 1 1 1 0 1 1 0 1 1 0 1 1 1 3 1 0] [0 0 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0] [1 0 1 1 0 1 0 0 1 0 1 0 0 1 1 0 1 0] [1 1 0 1 1 1 1 0 0 1 1 0 1 1 0 0 0 0] [1 3 0 0 1 1 0 1 0 3 0 0 0 0 0 0 0 0] [0 8 3 0 0 0 1 1 3 8 1 1 0 1 0 0 1 0] [0 8 8 3 0 1 1 3 8 8 0 0 1 1 1 0 1 0] [0 8 3 1 1 0 3 8 8 8 0 1 0 1 1 0 0 0] [0 8 1 0 0 1 1 3 8 8 1 1 1 1 1 0 1 0] [1 1 1 1 1 0 1 0 8 8 0 0 0 0 0 1 0 1]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 8 8 8 8 8 1 8] [8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 1 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 8 8 8 1 8 8 8] [8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 1 8 8 8 8 8 8 8] [8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 8 8 8 8 8 8 8]] -> [[8 8 1 8 8 1 8 8 8 1 3 1 3] [1 1 1 1 1 1 1 1 1 1 1 2 1] [8 3 1 3 8 1 8 8 8 1 3 1 3] [1 1 2 1 1 1 1 1 1 1 1 1 1] [8 3 1 3 8 1 8 8 8 1 8 1 8] [8 8 1 8 8 1 8 8 3 1 3 1 8] [1 1 1 1 1 1 1 1 1 2 1 1 1] [8 8 1 8 8 1 8 8 3 1 3 1 8] [8 8 1 8 3 1 3 8 8 1 8 1 8] [1 1 1 1 1 2 1 1 1 1 1 1 1] [8 8 1 8 3 1 3 8 8 1 8 1 8] [8 8 1 8 8 1 8 8 8 1 8 1 8] [8 8 1 8 8 1 8 8 8 1 8 1 8]]# [[9 9 9 9 9 9 9 9 9] [9 9 9 9 9 9 9 9 9] [9 9 9 9 9 9 9 9 9] [9 9 9 1 9 9 9 9 9] [9 9 9 9 9 9 9 9 9] [9 9 9 9 9 9 9 9 9] [9 9 9 9 9 9 1 9 9] [9 9 9 9 9 9 9 9 9] [9 9 9 9 9 9 9 9 9]] -> [[9 9 9 1 9 9 1 9 9] [9 9 9 1 9 9 1 9 9] [9 9 3 1 3 9 1 9 9] [1 1 1 2 1 1 1 1 1] [9 9 3 1 3 9 1 9 9] [9 9 9 1 9 3 1 3 9] [1 1 1 1 1 1 2 1 1] [9 9 9 1 9 3 1 3 9] [9 9 9 1 9 9 1 9 9]]# [[7 7 7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 1 7 7] [7 7 7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7] [7 7 1 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 1 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7]] -> [[7 7 1 7 7 7 1 3 1 3 7] [1 1 1 1 1 1 1 1 2 1 1] [7 7 1 7 7 7 1 3 1 3 7] [7 3 1 3 7 7 1 7 1 7 7] [1 1 2 1 1 1 1 1 1 1 1] [7 3 1 3 7 7 1 7 1 7 7] [7 7 1 7 7 7 1 7 1 7 7] [7 7 1 7 7 7 1 7 1 7 7] [7 7 1 7 7 3 1 3 1 7 7] [1 1 1 1 1 1 2 1 1 1 1] [7 7 1 7 7 3 1 3 1 7 7]]# There is a <image> shows all the examples before. Here is your test case: [[8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 8 1 8 8 8 8 8 8] [8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 1 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 1 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 8 8 8 8 8 8 8 1]] ->
[[8 8 1 8 1 8 8 1 8 8 8 8 8 1] [8 8 1 8 1 8 3 1 3 8 8 8 8 1] [1 1 1 1 1 1 1 2 1 1 1 1 1 1] [8 8 1 8 1 8 3 1 3 8 8 8 8 1] [8 3 1 3 1 8 8 1 8 8 8 8 8 1] [1 1 2 1 1 1 1 1 1 1 1 1 1 1] [8 3 1 3 1 8 8 1 8 8 8 8 8 1] [8 8 1 8 1 8 8 1 8 8 8 8 8 1] [8 8 1 8 1 8 8 1 8 8 8 8 8 1] [8 8 1 8 1 8 8 1 8 8 8 8 8 1] [8 8 1 3 1 3 8 1 8 8 8 8 8 1] [1 1 1 1 2 1 1 1 1 1 1 1 1 1] [8 8 1 3 1 3 8 1 8 8 8 8 3 1] [1 1 1 1 1 1 1 1 1 1 1 1 1 2]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 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 2 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 8 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 0 0 0 0 0 0 0 0 0 0 0 0 0 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 0 0 0 0 0 0 0 0 0 0 0 0 0 6] [2 2 2 2 2 2 2 2 2 2 2 2 2 2 2] [2 0 0 0 0 0 0 0 0 0 0 0 0 0 2] [2 0 0 0 0 0 0 0 0 0 0 0 0 0 2] [2 0 0 0 0 0 0 0 0 0 0 0 0 0 2] [8 0 0 0 0 0 0 0 0 0 0 0 0 0 8] [8 0 0 0 0 0 0 0 0 0 0 0 0 0 8] [8 0 0 0 0 0 0 0 0 0 0 0 0 0 8] [8 8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 0 0 0 0 0 0 0 0 0 0 0 0 0 8] [8 0 0 0 0 0 0 0 0 0 0 0 0 0 8] [8 8 8 8 8 8 8 8 8 8 8 8 8 8 8]]# [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 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 1 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 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 3 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[8 8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 0 0 0 0 0 0 0 0 0 0 0 0 0 8] [1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 0 0 0 0 0 0 0 0 0 0 0 0 0 1] [1 0 0 0 0 0 0 0 0 0 0 0 0 0 1] [2 0 0 0 0 0 0 0 0 0 0 0 0 0 2] [2 2 2 2 2 2 2 2 2 2 2 2 2 2 2] [2 0 0 0 0 0 0 0 0 0 0 0 0 0 2] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3] [3 0 0 0 0 0 0 0 0 0 0 0 0 0 3] [3 0 0 0 0 0 0 0 0 0 0 0 0 0 3] [3 0 0 0 0 0 0 0 0 0 0 0 0 0 3] [3 0 0 0 0 0 0 0 0 0 0 0 0 0 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3]]# [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 2 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 7 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 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]] -> [[2 2 2 2 2 2 2 2 2 2 2 2 2 2 2] [2 0 0 0 0 0 0 0 0 0 0 0 0 0 2] [2 0 0 0 0 0 0 0 0 0 0 0 0 0 2] [2 2 2 2 2 2 2 2 2 2 2 2 2 2 2] [2 0 0 0 0 0 0 0 0 0 0 0 0 0 2] [2 0 0 0 0 0 0 0 0 0 0 0 0 0 2] [7 0 0 0 0 0 0 0 0 0 0 0 0 0 7] [7 7 7 7 7 7 7 7 7 7 7 7 7 7 7] [7 0 0 0 0 0 0 0 0 0 0 0 0 0 7] [7 0 0 0 0 0 0 0 0 0 0 0 0 0 7] [8 0 0 0 0 0 0 0 0 0 0 0 0 0 8] [8 0 0 0 0 0 0 0 0 0 0 0 0 0 8] [8 8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 0 0 0 0 0 0 0 0 0 0 0 0 0 8] [8 8 8 8 8 8 8 8 8 8 8 8 8 8 8]]# [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 3 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 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 9 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[3 3 3 3 3 3 3 3 3 3 3 3 3 3 3] [3 0 0 0 0 0 0 0 0 0 0 0 0 0 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3] [3 0 0 0 0 0 0 0 0 0 0 0 0 0 3] [3 0 0 0 0 0 0 0 0 0 0 0 0 0 3] [2 0 0 0 0 0 0 0 0 0 0 0 0 0 2] [2 0 0 0 0 0 0 0 0 0 0 0 0 0 2] [2 2 2 2 2 2 2 2 2 2 2 2 2 2 2] [2 0 0 0 0 0 0 0 0 0 0 0 0 0 2] [9 9 9 9 9 9 9 9 9 9 9 9 9 9 9] [9 0 0 0 0 0 0 0 0 0 0 0 0 0 9] [9 0 0 0 0 0 0 0 0 0 0 0 0 0 9] [9 0 0 0 0 0 0 0 0 0 0 0 0 0 9] [9 0 0 0 0 0 0 0 0 0 0 0 0 0 9] [9 9 9 9 9 9 9 9 9 9 9 9 9 9 9]]# There is a <image> shows all the examples before. Here is your test case: [[0 0 0 0 0 0 0 0 0 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 2 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 1 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 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]] ->
[[8 8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 0 0 0 0 0 0 0 0 0 0 0 0 0 8] [8 8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 0 0 0 0 0 0 0 0 0 0 0 0 0 8] [2 2 2 2 2 2 2 2 2 2 2 2 2 2 2] [2 0 0 0 0 0 0 0 0 0 0 0 0 0 2] [2 0 0 0 0 0 0 0 0 0 0 0 0 0 2] [1 0 0 0 0 0 0 0 0 0 0 0 0 0 1] [1 0 0 0 0 0 0 0 0 0 0 0 0 0 1] [1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 0 0 0 0 0 0 0 0 0 0 0 0 0 1] [3 0 0 0 0 0 0 0 0 0 0 0 0 0 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3] [3 0 0 0 0 0 0 0 0 0 0 0 0 0 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[0 7 0] [7 7 7] [0 7 0]] -> [[0 0 0 7 0 7 0 0 0] [0 0 0 0 0 0 0 0 0] [0 0 0 7 0 7 0 0 0] [7 0 7 7 0 7 7 0 7] [0 0 0 0 0 0 0 0 0] [7 0 7 7 0 7 7 0 7] [0 0 0 7 0 7 0 0 0] [0 0 0 0 0 0 0 0 0] [0 0 0 7 0 7 0 0 0]]# [[0 0 6] [0 6 0] [6 0 0]] -> [[0 0 0 0 0 0 6 6 0] [0 0 0 0 0 0 6 0 6] [0 0 0 0 0 0 0 6 6] [0 0 0 6 6 0 0 0 0] [0 0 0 6 0 6 0 0 0] [0 0 0 0 6 6 0 0 0] [6 6 0 0 0 0 0 0 0] [6 0 6 0 0 0 0 0 0] [0 6 6 0 0 0 0 0 0]]# [[4 4 0] [0 0 4] [0 0 4]] -> [[0 0 4 0 0 4 0 0 0] [4 4 0 4 4 0 0 0 0] [4 4 0 4 4 0 0 0 0] [0 0 0 0 0 0 0 0 4] [0 0 0 0 0 0 4 4 0] [0 0 0 0 0 0 4 4 0] [0 0 0 0 0 0 0 0 4] [0 0 0 0 0 0 4 4 0] [0 0 0 0 0 0 4 4 0]]# There is a <image> shows all the examples before. Here is your test case: [[0 0 3] [3 3 0] [0 3 0]] ->
[[0 0 0 0 0 0 3 3 0] [0 0 0 0 0 0 0 0 3] [0 0 0 0 0 0 3 0 3] [3 3 0 3 3 0 0 0 0] [0 0 3 0 0 3 0 0 0] [3 0 3 3 0 3 0 0 0] [0 0 0 3 3 0 0 0 0] [0 0 0 0 0 3 0 0 0] [0 0 0 3 0 3 0 0 0]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[2 2 0 7 0 3 2 7 0 2 7 0 3 2 7 0 0 3] [2 2 0 0 2 3 3 4 0 0 7 0 0 0 0 0 0 7] [4 2 7 2 7 0 4 0 0 7 2 0 3 0 7 3 2 0] [3 7 2 2 7 0 0 3 0 2 4 0 2 4 0 4 3 3] [2 4 3 2 0 4 3 2 3 2 0 0 8 8 8 7 0 2] [2 7 3 2 7 0 0 2 3 3 3 7 0 8 2 2 2 0] [0 2 2 2 0 3 2 7 3 3 7 0 0 8 0 0 0 0] [4 2 7 3 0 3 0 7 2 7 2 0 4 2 7 7 0 0] [0 0 2 0 2 0 4 7 4 0 0 2 2 2 3 3 3 0] [2 0 4 7 0 7 0 3 2 4 2 0 0 2 0 0 2 7] [7 4 2 7 4 3 3 7 2 2 0 0 7 7 0 7 0 4]] -> [[2 2 0 7 0 3 2 7 0 2 7 0 3 2 7 0 0 3] [2 2 0 0 2 3 3 4 0 0 7 0 0 0 0 0 0 7] [4 2 7 2 7 0 4 0 0 7 2 0 3 0 7 3 2 0] [3 7 2 2 7 0 0 3 0 2 4 0 2 4 0 4 3 3] [2 4 3 2 0 4 3 2 8 2 0 0 8 8 8 7 0 2] [2 7 3 2 7 0 0 2 8 8 8 7 0 8 2 2 2 0] [0 2 2 2 0 3 2 7 8 3 7 0 0 8 0 0 0 0] [4 2 7 3 0 3 0 7 2 7 2 0 4 2 7 7 0 0] [0 0 2 0 2 0 4 7 4 0 0 2 2 2 3 3 3 0] [2 0 4 7 0 7 0 3 2 4 2 0 0 2 0 0 2 7] [7 4 2 7 4 3 3 7 2 2 0 0 7 7 0 7 0 4]]# [[2 7 7 0 0 3 3 2 2 0 0 2 3 3 7 0 0] [0 3 7 2 2 4 2 7 4 2 7 2 2 7 0 7 2] [2 3 0 3 7 3 0 2 7 2 0 2 2 3 2 3 2] [2 4 7 3 0 0 4 2 4 2 4 0 7 0 3 3 0] [7 3 2 4 3 2 0 0 7 2 0 3 2 2 3 0 2] [2 7 3 7 2 2 2 0 2 2 7 4 2 2 3 0 3] [0 3 0 0 2 3 0 2 2 0 7 7 3 2 0 0 0] [2 0 0 4 0 2 2 2 0 4 4 0 7 0 0 3 2] [3 2 7 0 7 8 0 8 0 4 2 2 2 2 0 0 0] [7 2 3 4 3 2 8 8 2 0 4 0 3 7 0 3 2] [7 7 2 2 0 7 7 4 2 3 2 7 2 2 7 2 3] [0 0 0 4 2 3 0 4 7 7 3 0 7 2 0 3 0] [0 0 7 2 3 0 2 3 0 3 4 2 3 3 3 2 3] [7 2 2 2 2 3 0 3 0 3 3 0 7 0 3 3 2]] -> [[2 7 7 0 0 3 3 2 2 0 0 2 3 3 7 0 0] [0 3 7 2 2 4 2 7 4 2 7 2 2 7 0 7 2] [2 3 0 3 7 3 0 2 7 2 0 2 2 8 2 8 2] [2 4 7 3 0 0 4 2 4 2 4 0 7 0 8 8 0] [7 3 2 4 3 2 0 0 7 2 0 3 2 2 3 0 2] [2 7 3 7 2 2 2 0 2 2 7 4 2 2 3 0 3] [0 3 0 0 2 3 0 2 2 0 7 7 3 2 0 0 0] [2 0 0 4 0 2 2 2 0 4 4 0 7 0 0 3 2] [3 2 7 0 7 8 0 8 0 4 2 2 2 2 0 0 0] [7 2 3 4 3 2 8 8 2 0 4 0 3 7 0 3 2] [7 7 2 2 0 7 7 4 2 3 2 7 2 2 7 2 3] [0 0 0 4 2 3 0 4 7 7 8 0 7 2 0 8 0] [0 0 7 2 3 0 2 3 0 8 4 2 3 3 8 2 3] [7 2 2 2 2 3 0 3 0 8 8 0 7 0 8 8 2]]# [[3 0 0 7 3 3 3 2 2 3 3 2 0 2 4 7 2 0] [0 2 4 0 2 0 7 0 0 2 0 3 2 2 2 2 2 7] [7 0 2 3 0 4 4 7 2 7 7 0 4 0 4 3 0 3] [7 3 0 2 4 3 7 2 0 2 0 3 3 2 2 7 4 0] [0 3 4 3 2 4 3 8 0 2 3 3 4 0 3 0 3 0] [0 2 2 0 7 3 8 8 8 4 3 0 7 3 4 2 2 2] [2 3 2 4 7 0 7 2 0 4 0 0 0 0 7 0 4 7] [3 4 7 7 0 3 2 0 0 7 3 0 2 7 4 2 0 3] [2 3 0 3 3 0 0 2 2 0 7 7 3 0 2 2 2 3] [0 3 3 4 0 3 0 0 2 7 3 0 0 0 2 3 7 3] [0 3 4 3 0 7 2 0 3 0 3 3 0 4 0 2 3 3] [3 2 0 4 0 2 7 3 7 0 3 3 2 0 0 2 2 7] [2 2 3 3 4 3 7 7 2 2 4 0 0 0 4 2 3 2] [0 2 0 2 0 0 4 0 0 3 7 0 0 0 4 3 4 2] [0 4 3 0 0 3 0 0 7 0 0 0 2 3 3 7 4 3]] -> [[3 0 0 7 3 3 3 2 2 3 3 2 0 2 4 7 2 0] [0 2 4 0 2 0 7 0 0 2 0 3 2 2 2 2 2 7] [7 0 2 3 0 4 4 7 2 7 7 0 4 0 4 3 0 3] [7 3 0 2 4 3 7 2 0 2 0 3 3 2 2 7 4 0] [0 3 4 3 2 4 3 8 0 2 3 3 4 0 3 0 3 0] [0 2 2 0 7 3 8 8 8 4 3 0 7 3 4 2 2 2] [2 3 2 4 7 0 7 2 0 4 0 0 0 0 7 0 4 7] [3 4 7 7 0 3 2 0 0 7 3 0 2 7 4 2 0 3] [2 8 0 3 3 0 0 2 2 0 7 7 3 0 2 2 2 3] [0 8 8 4 0 3 0 0 2 7 8 0 0 0 2 3 7 3] [0 8 4 3 0 7 2 0 3 0 8 8 0 4 0 2 3 3] [3 2 0 4 0 2 7 3 7 0 8 3 2 0 0 2 2 7] [2 2 3 3 4 3 7 7 2 2 4 0 0 0 4 2 3 2] [0 2 0 2 0 0 4 0 0 3 7 0 0 0 4 3 4 2] [0 4 3 0 0 3 0 0 7 0 0 0 2 3 3 7 4 3]]# [[2 3 2 8 4 4 0 2 3 0 2 4 7 7 3 7 3] [3 4 8 8 8 0 0 2 0 2 0 2 7 7 7 3 7] [7 3 0 8 0 2 2 0 2 2 0 7 3 0 3 3 3] [2 0 2 0 2 0 3 2 0 7 0 7 0 0 2 3 0] [7 7 4 3 7 2 0 2 3 0 3 4 7 2 0 3 7] [2 4 0 7 0 0 3 4 4 0 3 4 4 3 3 4 0] [3 2 7 3 7 3 7 2 0 2 3 2 3 3 3 4 4] [3 7 4 0 2 0 2 0 3 7 2 3 3 3 3 0 2] [3 2 3 2 0 2 0 2 0 7 2 0 2 4 4 7 3] [4 3 4 2 0 7 0 0 7 0 0 0 0 3 0 0 3] [2 3 0 0 4 0 2 0 3 3 2 0 4 0 0 2 2] [3 3 4 3 2 7 2 4 3 0 7 3 3 4 2 0 3] [2 0 7 7 0 3 7 4 3 7 0 2 0 3 7 0 2] [2 3 0 0 2 3 0 7 0 7 3 7 0 4 0 3 7] [2 0 2 2 7 2 0 0 2 2 3 0 0 3 7 0 3] [7 2 4 0 3 0 0 2 2 7 4 0 0 2 2 0 4] [0 0 3 0 4 4 7 7 4 2 0 0 3 7 0 2 0] [2 3 4 0 3 0 3 3 2 3 4 7 7 0 2 0 3]] -> [[2 3 2 8 4 4 0 2 3 0 2 4 7 7 3 7 3] [3 4 8 8 8 0 0 2 0 2 0 2 7 7 7 8 7] [7 3 0 8 0 2 2 0 2 2 0 7 3 0 8 8 8] [2 0 2 0 2 0 3 2 0 7 0 7 0 0 2 8 0] [7 7 4 3 7 2 0 2 3 0 3 4 7 2 0 3 7] [2 4 0 7 0 0 3 4 4 0 3 4 4 8 3 4 0] [3 2 7 3 7 3 7 2 0 2 3 2 8 8 8 4 4] [3 7 4 0 2 0 2 0 3 7 2 3 3 8 3 0 2] [3 2 3 2 0 2 0 2 0 7 2 0 2 4 4 7 3] [4 3 4 2 0 7 0 0 7 0 0 0 0 3 0 0 3] [2 3 0 0 4 0 2 0 3 3 2 0 4 0 0 2 2] [3 3 4 3 2 7 2 4 3 0 7 3 3 4 2 0 3] [2 0 7 7 0 3 7 4 3 7 0 2 0 3 7 0 2] [2 3 0 0 2 3 0 7 0 7 3 7 0 4 0 3 7] [2 0 2 2 7 2 0 0 2 2 3 0 0 3 7 0 3] [7 2 4 0 3 0 0 2 2 7 4 0 0 2 2 0 4] [0 0 3 0 4 4 7 7 4 2 0 0 3 7 0 2 0] [2 3 4 0 3 0 3 3 2 3 4 7 7 0 2 0 3]]# There is a <image> shows all the examples before. Here is your test case: [[7 3 2 2 4 3 7 2 7 0 7 3 4 0 3 2 4] [0 2 2 2 2 3 0 3 3 0 3 2 0 0 3 0 7] [3 2 0 3 7 0 2 2 2 3 7 0 3 3 0 2 2] [4 2 7 7 0 0 2 0 0 0 7 4 3 2 3 7 2] [7 0 8 3 0 7 3 3 0 2 3 0 4 0 0 7 0] [3 4 8 8 3 2 0 0 3 4 2 4 0 3 3 2 4] [2 3 0 8 0 0 2 4 0 4 4 0 0 7 2 3 0] [2 4 0 3 0 0 2 2 3 2 7 3 3 7 0 4 0] [2 7 7 4 0 3 0 2 7 7 0 4 7 0 7 3 3] [0 0 7 3 4 0 2 3 0 7 4 3 2 3 0 7 3] [2 7 0 3 4 7 3 4 0 4 0 0 0 3 3 7 2] [4 3 0 2 3 0 4 0 4 3 3 2 2 3 3 0 3] [4 7 0 7 3 3 2 3 3 0 7 0 0 0 0 4 7] [3 3 3 3 0 4 3 4 4 7 3 7 0 0 0 3 0] [0 2 2 3 3 3 0 7 3 2 7 3 4 3 3 3 3] [3 3 3 4 7 4 3 3 3 0 0 4 0 7 0 4 3]] ->
[[7 3 2 2 4 3 7 2 7 0 7 3 4 0 3 2 4] [0 2 2 2 2 3 0 3 3 0 3 2 0 0 3 0 7] [3 2 0 3 7 0 2 2 2 3 7 0 3 3 0 2 2] [4 2 7 7 0 0 2 0 0 0 7 4 3 2 3 7 2] [7 0 8 3 0 7 3 3 0 2 3 0 4 0 0 7 0] [3 4 8 8 3 2 0 0 3 4 2 4 0 3 3 2 4] [2 3 0 8 0 0 2 4 0 4 4 0 0 7 2 3 0] [2 4 0 3 0 0 2 2 3 2 7 3 3 7 0 4 0] [2 7 7 4 0 3 0 2 7 7 0 4 7 0 7 3 3] [0 0 7 3 4 0 2 3 0 7 4 3 2 8 0 7 3] [2 7 0 3 4 7 3 4 0 4 0 0 0 8 8 7 2] [4 3 0 2 3 0 4 0 4 3 3 2 2 3 8 0 3] [4 7 0 7 3 3 2 3 3 0 7 0 0 0 0 4 7] [3 3 8 8 0 4 3 4 4 7 3 7 0 0 0 8 0] [0 2 2 8 8 3 0 7 3 2 7 3 4 3 3 8 8] [3 3 3 4 7 4 3 3 3 0 0 4 0 7 0 4 8]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0] [0 0 1 2 1 1 1 1 1 1 4 1 0 0 0 0 0 0 0] [0 0 1 1 1 1 1 8 1 1 1 1 0 0 0 0 0 0 0] [0 0 1 1 1 8 8 8 1 8 1 1 0 0 0 0 0 0 0] [0 0 1 1 1 8 1 1 1 1 1 1 0 0 0 0 0 0 0] [0 0 1 1 1 8 8 8 8 1 1 1 0 0 0 0 0 0 0] [0 0 1 1 8 1 1 1 8 1 1 1 0 0 0 0 0 0 0] [0 0 1 1 1 1 1 1 1 1 3 1 0 0 0 0 0 0 0] [0 0 1 1 1 1 1 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 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 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 4 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[1 1 1 1 1 1 1 1 1] [1 3 1 1 1 1 1 4 1] [1 1 1 1 1 8 1 1 1] [1 1 8 8 1 1 1 1 1] [1 1 1 8 1 8 8 1 1] [1 1 1 8 1 8 1 1 1] [1 1 1 8 8 8 1 1 1] [1 1 8 1 1 1 1 1 1] [1 1 1 1 1 1 1 2 1] [1 1 1 1 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 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0] [0 0 0 0 0 0 0 0 0 0 1 4 1 1 1 1 1 8 1 0 0] [0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 1 1 0 0] [0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 1 1 0 0] [0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 1 1 0 0] [0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 1 1 0 0] [0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 1 1 0 0] [0 0 0 0 0 0 0 0 0 0 1 5 1 1 1 1 1 1 1 0 0] [0 0 0 0 0 0 0 0 0 0 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 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 5 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[1 1 1 1 1 1 1 1 1] [1 4 1 1 1 1 1 5 1] [1 1 1 1 2 1 1 1 1] [1 1 1 1 2 1 1 1 1] [1 1 2 2 2 2 2 1 1] [1 1 1 1 1 1 2 1 1] [1 1 1 1 1 1 2 1 1] [1 8 1 1 1 1 1 1 1] [1 1 1 1 1 1 1 1 1]]# [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 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 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 1 2 1 1 1 1 1 1 3 1 0 0 0 2 0 0 0 0 0 0 3 0 0] [0 0 1 1 1 5 1 1 5 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 1 1 5 5 1 1 5 5 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 1 1 1 1 5 5 1 5 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 1 1 1 1 1 1 1 5 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 1 1 1 1 1 1 1 5 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 1 1 1 1 1 1 1 5 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 1 1 1 1 1 1 1 5 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 1 1 1 1 1 1 1 5 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 1 1 1 1 1 1 1 1 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[1 1 1 1 1 1 1 1 1 1] [1 1 1 1 1 1 1 1 4 1] [1 1 1 1 1 1 1 5 1 1] [1 1 1 1 1 1 1 5 1 1] [1 1 1 1 1 1 1 5 1 1] [1 1 1 1 1 1 1 5 1 1] [1 1 1 1 1 1 1 5 1 1] [1 1 1 1 5 5 1 5 1 1] [1 1 5 5 1 1 5 5 1 1] [1 1 1 5 1 1 5 1 1 1] [1 2 1 1 1 1 1 1 3 1] [1 1 1 1 1 1 1 1 1 1]]# There is a <image> shows all the examples before. Here is your test case: [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 1 1 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 1 4 1 1 1 1 1 1 2 1 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 3 1 1 1 1 1 1 0 0] [0 0 8 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 1 1 3 3 1 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 1 1 1 1 3 3 3 3 1 1 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 3 3 1 1 1 1 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 3 1 1 1 1 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 3 1 1 1 1 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 3 1 1 1 1 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 3 3 1 1 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 1 1 1 1 1 1 3 1 1 1 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 8 1 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 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 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 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 1 1 1 1 1 1 1 1 1 1 1 1] [1 8 1 1 1 1 1 1 1 1 1 2 1] [1 1 1 3 1 1 1 1 3 1 1 1 1] [1 1 3 3 1 1 1 1 3 1 1 1 1] [1 1 1 1 3 3 3 3 3 1 1 1 1] [1 1 1 1 1 1 1 3 3 1 1 1 1] [1 1 1 1 1 1 1 1 1 3 3 1 1] [1 1 1 1 1 1 1 1 1 3 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 4 1] [1 1 1 1 1 1 1 1 1 1 1 1 1]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[0 0 0 2 2 0 0 0 0 0 0 0] [0 0 2 2 2 2 0 0 0 0 0 0] [0 2 3 1 1 3 2 0 0 0 0 0] [2 2 1 0 0 1 2 2 0 0 0 0] [2 2 1 0 0 1 2 2 0 0 0 0] [0 2 3 1 1 3 2 0 0 0 0 0] [0 0 2 2 2 2 0 0 0 0 0 0] [0 0 0 2 2 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 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 2 2] [0 2 3 1] [2 2 1 0]]# [[0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 2 2 0 0 0 0 0] [0 0 0 5 5 2 2 5 5 0 0 0] [0 0 0 5 3 3 3 3 5 0 0 0] [0 0 2 2 3 1 1 3 2 2 0 0] [0 0 2 2 3 1 1 3 2 2 0 0] [0 0 0 5 3 3 3 3 5 0 0 0] [0 0 0 5 5 2 2 5 5 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 2] [0 5 5 2] [0 5 3 3] [2 2 3 1]]# [[0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 7 7 0 0 7 7 0] [0 0 0 0 7 2 2 3 3 2 2 7] [0 0 0 0 7 2 8 8 8 8 2 7] [0 0 0 0 0 3 8 0 0 8 3 0] [0 0 0 0 0 3 8 0 0 8 3 0] [0 0 0 0 7 2 8 8 8 8 2 7] [0 0 0 0 7 2 2 3 3 2 2 7] [0 0 0 0 0 7 7 0 0 7 7 0]] -> [[0 7 7 0] [7 2 2 3] [7 2 8 8] [0 3 8 0]]# There is a <image> shows all the examples before. Here is your test case: [[0 0 1 0 0 5 5 0 0 1 0 0] [0 0 0 5 3 8 8 3 5 0 0 0] [0 0 0 3 2 8 8 2 3 0 0 0] [0 0 5 8 8 6 6 8 8 5 0 0] [0 0 5 8 8 6 6 8 8 5 0 0] [0 0 0 3 2 8 8 2 3 0 0 0] [0 0 0 5 3 8 8 3 5 0 0 0] [0 0 1 0 0 5 5 0 0 1 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0]] ->
[[1 0 0 5] [0 5 3 8] [0 3 2 8] [5 8 8 6]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[0 2 0 0 0 2 5 2 2 0 5 2 5 5 0 2 2 5 2 2 5 5 0 2 0 0 2 0 0 0] [5 0 0 5 2 2 5 2 5 0 0 2 2 5 5 2 2 5 0 5 2 0 0 0 5 0 5 5 0 2] [5 0 2 2 8 8 8 8 8 8 8 5 0 2 4 4 4 4 5 0 0 2 3 3 3 3 3 0 0 2] [0 5 0 5 8 8 8 8 8 8 8 2 0 0 4 4 4 4 0 0 2 0 3 3 3 3 3 0 2 0] [5 0 5 0 8 8 8 8 8 8 8 2 2 0 4 4 4 4 2 2 0 2 3 3 3 3 3 5 0 5] [0 0 0 5 8 8 8 8 8 8 8 2 0 0 4 4 4 4 0 0 2 2 3 3 3 3 3 0 0 2] [0 0 0 2 5 5 5 2 2 0 0 0 2 5 0 5 2 0 2 0 5 0 5 2 0 2 0 5 5 2] [0 0 2 2 5 5 0 0 2 0 5 0 5 0 0 0 2 2 0 0 2 0 0 0 2 0 2 0 0 0] [0 2 0 2 0 0 0 0 2 0 2 0 2 0 5 2 0 0 0 5 2 0 5 2 0 0 5 2 0 0] [0 2 0 2 0 0 2 0 0 0 2 5 2 0 0 2 0 0 2 0 2 0 0 0 2 0 5 0 5 0] [0 2 2 2 1 1 1 1 1 2 2 2 3 3 3 3 3 3 3 0 0 7 7 7 7 7 0 0 5 0] [0 0 0 2 1 1 1 1 1 0 5 0 3 3 3 3 3 3 3 2 0 7 7 7 7 7 2 5 5 5] [0 0 5 2 1 1 1 1 1 5 2 0 3 3 3 3 3 3 3 0 2 7 7 7 7 7 0 2 5 2] [2 5 0 2 1 1 1 1 1 2 0 0 3 3 3 3 3 3 3 2 5 7 7 7 7 7 0 0 0 0] [0 0 0 2 0 0 5 0 2 2 2 0 3 3 3 3 3 3 3 0 0 7 7 7 7 7 2 0 2 2] [0 0 2 0 0 5 0 2 0 2 0 5 5 0 0 2 0 5 2 2 2 2 0 5 2 0 0 2 2 0] [0 0 5 2 0 0 2 0 5 0 0 0 0 5 0 0 0 2 2 0 0 0 0 5 5 0 2 0 0 5] [0 2 2 0 8 8 8 8 8 0 2 0 5 4 4 4 4 4 2 0 0 2 0 0 5 0 0 0 2 0] [0 0 2 0 8 8 8 8 8 2 2 5 0 4 4 4 4 4 0 2 5 0 1 1 1 1 1 2 0 2] [2 2 0 0 8 8 8 8 8 5 0 0 0 4 4 4 4 4 0 0 5 5 1 1 1 1 1 5 0 0] [2 5 5 0 8 8 8 8 8 0 5 0 5 4 4 4 4 4 0 5 0 2 1 1 1 1 1 0 0 0] [2 0 0 0 8 8 8 8 8 0 0 0 5 2 5 0 0 2 5 0 2 2 1 1 1 1 1 0 0 0] [0 5 2 5 5 2 2 0 2 0 0 2 5 0 5 0 0 5 0 0 0 0 1 1 1 1 1 0 0 0] [2 0 0 0 2 5 0 0 5 5 2 0 2 2 0 0 5 5 0 0 0 5 0 2 0 5 0 0 2 5] [0 0 5 0 0 0 0 2 0 5 5 0 2 5 0 0 0 2 0 2 0 0 5 0 0 0 0 0 0 5] [0 2 0 2 0 5 2 5 0 5 2 0 0 0 0 0 0 5 2 2 5 2 0 0 0 0 0 5 5 0] [0 0 0 5 5 0 2 2 2 0 0 2 0 2 0 0 5 2 0 2 2 0 0 0 0 0 0 2 0 0] [0 0 0 2 0 0 0 0 0 0 0 0 0 2 2 0 2 2 0 0 0 0 5 2 2 2 0 0 0 5] [2 2 2 0 0 0 0 2 0 5 5 0 0 0 5 0 2 0 5 0 0 0 5 0 2 0 2 2 2 5] [5 0 0 2 2 5 2 2 0 0 0 0 2 5 0 2 0 5 0 0 5 5 5 0 0 2 0 0 0 5]] -> [[8 4 3] [1 3 7] [8 4 1]]# [[0 2 0 0 0 2 0 8 0 0 0 2 0 2 0 2 0 0 2 8 0 0 2 0 8 0 0 0 0 0] [0 0 0 3 3 3 3 3 3 0 0 0 1 1 1 1 1 1 1 1 2 8 8 2 0 0 0 0 0 0] [8 0 2 3 3 3 3 3 3 0 0 2 1 1 1 1 1 1 1 1 0 0 0 9 9 9 9 9 0 0] [8 0 8 3 3 3 3 3 3 2 2 2 1 1 1 1 1 1 1 1 8 0 8 9 9 9 9 9 8 8] [2 8 0 3 3 3 3 3 3 8 8 0 1 1 1 1 1 1 1 1 0 0 2 9 9 9 9 9 0 0] [8 0 0 3 3 3 3 3 3 0 0 2 2 2 8 8 8 8 0 2 8 2 0 9 9 9 9 9 0 0] [0 0 0 8 0 0 8 0 0 2 8 2 0 0 2 0 0 0 0 0 0 8 0 9 9 9 9 9 8 8] [0 8 8 8 0 0 2 0 8 0 0 0 2 8 8 0 0 0 8 0 2 0 2 0 8 0 0 8 8 0] [0 0 0 0 0 0 0 0 0 2 2 2 0 0 2 8 8 2 0 0 2 0 0 2 0 0 8 2 8 0] [8 0 0 0 0 0 8 2 8 2 8 0 0 0 0 0 0 2 8 2 0 0 0 0 0 8 0 0 0 0] [0 0 2 6 6 6 6 0 8 0 0 4 4 4 4 4 4 2 0 0 0 8 0 0 2 0 0 0 2 0] [8 0 8 6 6 6 6 0 8 0 8 4 4 4 4 4 4 2 0 2 2 2 0 1 1 1 1 1 8 0] [0 2 0 6 6 6 6 8 0 2 2 4 4 4 4 4 4 8 0 8 0 0 0 1 1 1 1 1 0 2] [0 2 8 6 6 6 6 8 0 8 0 4 4 4 4 4 4 0 8 2 2 0 2 1 1 1 1 1 0 8] [0 0 2 6 6 6 6 0 0 0 2 4 4 4 4 4 4 0 0 8 0 8 8 1 1 1 1 1 8 0] [0 0 0 6 6 6 6 0 0 2 8 0 8 8 2 8 0 8 0 0 0 0 0 1 1 1 1 1 0 2] [2 8 0 6 6 6 6 0 2 0 0 0 0 2 8 0 0 0 2 8 0 0 2 0 0 0 0 0 0 0] [0 0 8 0 2 0 0 0 0 0 8 0 0 0 2 8 0 0 0 0 0 0 0 0 8 2 0 0 0 2] [0 0 2 0 8 0 0 0 2 8 0 8 0 0 0 8 0 8 8 8 0 8 0 0 8 0 2 2 0 2] [8 0 0 0 0 0 8 8 2 2 8 0 8 2 2 8 0 0 0 0 8 0 2 0 8 0 0 0 8 2] [2 2 0 0 0 0 2 8 0 8 0 0 2 2 8 0 0 2 0 0 0 2 2 2 0 0 0 2 2 8] [0 8 8 0 0 8 8 0 8 0 8 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 8 2 0 0] [0 0 2 8 2 0 2 0 0 8 0 0 0 2 0 8 0 0 0 2 8 8 0 8 0 2 0 0 0 8] [2 0 0 0 0 0 0 0 8 8 0 2 0 8 0 0 0 0 0 0 2 2 0 0 2 0 0 8 8 0] [8 2 0 0 0 8 0 8 0 8 2 0 0 0 8 0 0 8 0 2 0 0 8 0 2 2 8 0 0 0] [0 8 0 2 2 8 2 8 0 2 2 0 0 0 2 2 2 2 2 2 0 0 0 8 0 8 0 0 8 2] [0 0 2 8 2 8 0 0 0 0 0 0 0 0 8 0 0 2 0 2 2 0 0 8 0 2 0 0 8 8] [0 0 0 0 8 0 0 0 8 0 2 8 0 0 0 0 0 0 0 0 0 0 2 8 2 8 0 0 8 0] [8 2 0 2 8 8 0 0 0 2 0 0 0 8 8 0 8 0 0 0 8 2 8 8 0 2 8 2 2 2] [2 0 8 8 0 0 0 8 0 0 8 0 8 0 0 0 8 0 2 0 0 8 0 8 0 0 2 8 0 0]] -> [[3 1 9] [6 4 1]]# [[1 0 0 0 9 1 1 0 1 9 1 0 9 0 0 1 0 1 0 0 0 0 1 9 0 1 1 9 9 9] [0 0 0 0 9 1 0 0 0 1 1 0 1 0 0 1 1 1 1 0 9 9 0 0 1 1 1 1 9 0] [1 1 1 0 0 1 1 9 1 0 1 0 4 4 4 4 4 4 1 1 0 0 1 0 1 0 0 0 1 9] [0 1 9 0 0 0 0 1 0 0 1 1 4 4 4 4 4 4 0 9 0 0 8 8 8 8 1 0 1 0] [0 0 1 1 0 9 0 9 0 0 0 9 4 4 4 4 4 4 9 0 1 1 8 8 8 8 0 1 9 0] [1 1 0 8 8 8 8 8 8 1 0 0 4 4 4 4 4 4 1 0 0 0 8 8 8 8 1 0 9 0] [1 0 9 8 8 8 8 8 8 0 0 9 4 4 4 4 4 4 0 0 1 9 8 8 8 8 1 0 1 0] [9 0 0 8 8 8 8 8 8 0 0 0 0 0 0 9 9 0 9 0 0 1 0 1 9 1 0 0 9 1] [0 9 1 1 0 1 9 1 0 1 0 9 1 0 0 0 9 9 1 0 1 1 0 0 0 0 0 9 0 1] [1 1 0 9 9 0 0 9 0 0 0 0 7 7 7 7 1 1 1 0 1 0 3 3 3 3 3 0 1 0] [0 1 0 0 3 3 3 1 9 1 0 0 7 7 7 7 0 1 0 9 0 0 3 3 3 3 3 1 1 9] [1 0 1 1 3 3 3 1 0 0 1 0 7 7 7 7 0 0 9 0 0 0 3 3 3 3 3 0 1 0] [0 1 1 0 3 3 3 9 0 1 0 9 1 1 0 0 0 1 9 1 1 1 3 3 3 3 3 0 0 9] [0 0 0 1 0 9 9 9 0 9 9 1 9 9 0 0 1 0 1 0 0 9 0 0 0 0 9 0 9 0] [0 1 0 1 0 9 1 0 1 9 1 9 0 0 1 0 0 0 0 0 0 9 9 9 9 0 9 9 1 0] [1 0 9 0 1 9 0 0 0 0 9 9 1 1 1 9 0 1 9 1 4 4 4 4 4 9 0 1 0 0] [9 0 0 0 9 0 9 0 0 9 0 0 9 0 0 0 1 0 0 9 4 4 4 4 4 0 1 0 0 0] [9 0 9 2 2 2 2 2 9 9 1 9 8 8 8 8 0 9 0 9 4 4 4 4 4 0 0 0 0 1] [0 0 1 2 2 2 2 2 1 0 1 0 8 8 8 8 1 9 9 1 4 4 4 4 4 1 0 9 9 0] [0 1 0 2 2 2 2 2 0 1 0 1 8 8 8 8 0 9 1 0 4 4 4 4 4 0 1 1 1 1] [1 0 0 2 2 2 2 2 0 0 1 0 8 8 8 8 0 9 0 0 1 1 0 0 1 1 1 1 0 0] [9 1 9 0 9 0 9 9 1 9 9 9 1 0 0 1 0 0 1 0 1 1 0 0 0 1 0 1 1 0] [9 0 9 0 0 1 0 0 9 1 1 9 9 1 0 9 1 0 0 0 1 0 0 0 0 0 0 0 0 1] [1 0 0 0 1 9 1 1 1 1 0 0 9 1 0 1 1 1 9 1 9 0 9 1 1 1 1 0 0 0] [1 0 0 0 1 9 9 1 1 0 1 0 0 9 0 0 1 0 0 0 0 0 0 0 0 9 0 9 1 1] [0 0 1 1 1 0 1 0 0 1 1 0 0 0 0 0 0 0 0 0 9 9 9 1 1 1 0 0 0 0] [0 0 9 0 1 0 1 0 0 0 0 1 0 1 1 1 0 0 1 1 0 9 9 0 1 0 1 1 0 1] [0 0 0 9 0 1 9 1 1 1 1 0 9 9 0 0 0 0 0 0 9 0 1 0 0 0 0 9 0 1] [1 0 1 9 0 9 0 0 0 0 9 1 0 0 0 0 9 0 1 1 0 1 1 1 0 0 0 1 0 0] [1 0 0 0 0 9 9 0 1 0 9 0 9 0 1 1 1 0 0 1 0 0 9 0 1 0 9 9 9 1]] -> [[8 4 8] [3 7 3] [2 8 4]]# There is a <image> shows all the examples before. Here is your test case: [[5 5 0 0 0 8 5 0 0 8 8 8 0 8 0 0 5 5 0 5 0 5 8 0 0 0 0 0 0 8] [8 8 5 5 0 8 0 0 5 8 0 0 5 8 0 8 0 8 0 8 0 0 5 0 8 8 0 0 0 0] [0 5 5 5 0 5 8 0 5 8 0 0 0 5 0 5 8 8 5 8 5 0 5 0 0 0 0 0 5 5] [0 0 0 5 5 5 8 8 0 0 0 5 8 3 3 3 3 3 5 0 8 0 8 8 0 8 8 0 0 5] [0 5 0 5 2 2 2 2 2 2 0 5 8 3 3 3 3 3 8 8 8 3 3 3 3 3 3 0 0 5] [8 8 0 0 2 2 2 2 2 2 0 0 0 3 3 3 3 3 5 8 0 3 3 3 3 3 3 0 8 0] [8 5 0 0 2 2 2 2 2 2 0 0 8 3 3 3 3 3 0 0 0 3 3 3 3 3 3 5 0 0] [5 0 8 8 2 2 2 2 2 2 8 0 0 3 3 3 3 3 0 0 0 0 5 5 0 0 0 0 0 5] [0 0 0 5 0 8 0 5 5 0 0 0 0 0 0 5 5 5 0 0 0 0 0 0 0 0 0 8 8 0] [0 0 5 0 5 5 0 8 0 8 8 0 0 5 8 0 0 0 0 5 0 0 1 1 1 1 1 5 5 5] [8 0 8 4 4 4 4 4 5 0 5 8 7 7 7 7 7 0 0 8 5 0 1 1 1 1 1 0 5 0] [8 5 0 4 4 4 4 4 0 0 0 0 7 7 7 7 7 0 0 5 0 0 1 1 1 1 1 0 5 0] [0 8 0 4 4 4 4 4 0 0 0 0 7 7 7 7 7 5 0 0 5 8 1 1 1 1 1 5 5 0] [0 8 5 4 4 4 4 4 0 0 0 0 7 7 7 7 7 0 8 0 8 0 1 1 1 1 1 5 5 0] [0 5 8 4 4 4 4 4 0 0 8 0 8 0 0 0 0 0 5 0 0 0 5 0 0 0 5 0 5 8] [8 8 0 0 0 0 8 0 8 0 0 0 0 0 0 5 0 0 5 5 8 0 5 0 5 8 0 0 0 5] [0 8 0 5 0 0 0 5 5 8 5 5 3 3 3 3 3 3 3 8 0 5 0 7 7 7 7 5 0 5] [0 0 5 5 0 5 1 1 1 1 0 0 3 3 3 3 3 3 3 0 8 8 8 7 7 7 7 8 0 8] [0 0 0 0 0 0 1 1 1 1 5 8 3 3 3 3 3 3 3 8 5 0 8 7 7 7 7 0 5 5] [0 5 0 8 0 5 1 1 1 1 5 0 3 3 3 3 3 3 3 5 0 5 0 7 7 7 7 5 0 0] [0 0 5 0 0 8 1 1 1 1 0 0 5 8 0 0 5 8 8 0 0 8 0 7 7 7 7 8 0 0] [5 0 5 8 0 0 8 0 5 0 0 0 0 0 5 8 0 0 5 8 0 0 5 0 8 8 8 0 0 5] [0 5 0 5 5 4 4 4 5 0 5 0 6 6 6 6 6 6 0 0 2 2 2 2 2 2 0 0 5 5] [0 8 0 5 5 4 4 4 0 8 5 0 6 6 6 6 6 6 0 0 2 2 2 2 2 2 5 0 8 5] [8 0 0 0 0 4 4 4 5 0 8 0 6 6 6 6 6 6 0 0 2 2 2 2 2 2 0 0 0 0] [0 0 0 0 0 4 4 4 5 5 0 8 6 6 6 6 6 6 5 0 2 2 2 2 2 2 0 0 8 0] [5 5 0 0 0 5 5 8 5 8 0 0 6 6 6 6 6 6 8 5 8 0 0 8 5 0 8 5 0 0] [0 5 8 5 0 8 5 5 5 0 8 8 0 0 5 0 8 5 5 0 0 0 5 8 0 0 0 0 8 5] [0 0 0 0 8 0 0 5 8 8 8 5 0 0 0 5 0 5 0 0 0 5 0 8 0 5 5 0 0 8] [8 0 5 0 0 0 0 0 5 8 8 8 0 0 5 5 5 5 8 5 0 0 5 8 5 8 5 5 0 5]] ->
[[2 3 3] [4 7 1] [1 3 7] [4 6 2]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[0 5 5 5 5 5 0 0 5 5 0 5 0 0 5 5 5 0 0] [0 5 0 5 5 5 0 0 5 0 0 0 0 0 0 0 0 5 5] [5 0 0 5 5 5 5 0 0 0 0 5 5 0 5 5 5 5 0] [0 0 0 0 0 0 0 5 0 0 0 5 5 0 0 5 5 0 0] [5 0 0 5 5 0 5 5 5 5 0 5 0 0 0 0 0 0 0] [5 0 0 5 5 5 5 0 0 0 0 5 0 0 5 0 0 5 5] [0 5 0 5 2 5 5 5 0 0 0 0 5 5 0 0 0 0 0] [5 5 5 5 5 2 5 5 5 0 5 5 0 0 5 0 5 0 5] [0 0 5 0 5 5 0 0 5 5 0 0 5 5 0 5 5 5 5] [0 5 5 5 5 5 5 0 5 0 2 5 5 0 0 5 0 5 5] [0 5 5 0 0 0 0 5 5 0 2 5 5 0 5 5 5 5 0] [5 5 2 2 2 5 0 0 0 0 5 2 2 5 5 5 0 0 5] [5 0 5 5 2 5 5 5 0 0 0 5 5 0 5 5 5 0 5] [0 0 2 5 2 5 0 5 0 0 0 0 5 5 5 5 0 0 5] [0 5 5 5 0 0 0 5 0 5 5 0 5 5 5 5 0 5 0] [5 5 5 0 5 5 0 5 5 5 5 0 0 5 2 5 0 5 5] [5 5 0 5 5 0 0 0 0 0 0 5 0 0 5 0 5 0 5] [5 0 0 5 0 0 0 0 0 5 0 5 0 0 0 0 0 0 0] [0 5 5 5 0 5 5 5 0 0 5 5 0 0 0 0 0 5 0]] -> [[0 5 5 5 5 5 0 0 5 5 0 5 0 0 5 5 5 0 0] [0 5 0 5 5 5 0 0 5 0 0 0 0 0 0 0 0 5 5] [5 0 0 5 5 5 5 0 0 0 0 5 5 0 5 5 5 5 0] [0 0 0 0 0 0 0 5 0 0 0 5 5 0 0 5 5 0 0] [5 0 0 5 5 0 5 5 5 5 0 5 0 0 0 0 0 0 0] [5 0 0 5 7 7 7 0 0 0 0 5 0 0 5 0 0 5 5] [0 5 0 5 2 4 7 5 0 0 0 0 5 5 0 0 0 0 0] [5 5 5 5 7 2 7 5 5 0 5 5 0 0 5 0 5 0 5] [0 0 5 0 5 5 0 0 5 5 0 0 5 5 0 5 5 5 5] [0 5 5 5 5 5 5 0 5 0 2 7 7 0 0 5 0 5 5] [0 5 5 0 0 0 0 5 5 0 2 4 7 0 5 5 5 5 0] [5 5 2 2 2 5 0 0 0 0 7 2 2 5 5 5 0 0 5] [5 0 7 4 2 5 5 5 0 0 0 5 5 0 5 5 5 0 5] [0 0 2 7 2 5 0 5 0 0 0 0 5 7 7 7 0 0 5] [0 5 5 5 0 0 0 5 0 5 5 0 5 7 4 7 0 5 0] [5 5 5 0 5 5 0 5 5 5 5 0 0 7 2 7 0 5 5] [5 5 0 5 5 0 0 0 0 0 0 5 0 0 5 0 5 0 5] [5 0 0 5 0 0 0 0 0 5 0 5 0 0 0 0 0 0 0] [0 5 5 5 0 5 5 5 0 0 5 5 0 0 0 0 0 5 0]]# [[5 5 0 5 0 5 0 0 0 5 5 5 5 5 5 0 0 0 5] [0 0 0 5 5 5 0 5 5 0 5 2 2 5 5 5 0 0 0] [0 5 5 5 5 0 5 0 5 5 5 2 5 5 0 5 0 0 0] [5 0 5 2 2 5 5 0 0 5 5 5 5 5 5 0 5 5 5] [0 5 5 5 2 5 0 0 5 5 0 0 5 0 5 0 5 0 5] [0 0 2 2 2 5 5 0 5 0 5 5 0 5 0 5 0 0 5] [0 0 5 5 5 5 5 5 5 5 5 0 0 0 0 5 5 5 0] [5 5 5 5 0 5 5 0 0 0 5 5 0 0 0 0 5 0 5] [0 0 0 0 5 5 5 5 5 5 5 0 5 0 0 0 0 0 0] [0 5 5 0 5 0 5 5 5 0 5 0 0 0 0 0 2 2 5] [0 5 0 0 0 5 0 0 5 0 5 0 0 5 0 5 5 5 5] [5 0 0 5 5 0 5 5 5 5 5 0 5 5 0 5 5 5 2] [5 0 5 0 0 0 5 5 5 0 5 0 0 5 5 5 5 5 5] [0 5 0 5 0 0 0 0 5 0 5 5 0 5 0 0 5 5 5] [0 0 5 5 5 5 5 5 5 5 5 5 5 0 0 0 0 0 0] [0 5 5 5 2 5 2 5 5 0 0 5 0 0 0 5 5 5 0] [5 5 5 0 2 2 5 5 5 0 0 0 0 5 5 0 5 5 0] [0 5 0 0 5 0 0 5 0 5 0 5 0 5 5 5 0 5 0] [5 0 0 0 0 0 5 0 5 0 0 5 0 5 5 0 5 5 5]] -> [[5 5 0 5 0 5 0 0 0 5 5 5 5 5 5 0 0 0 5] [0 0 0 5 5 5 0 5 5 0 5 2 2 7 5 5 0 0 0] [0 5 5 5 5 0 5 0 5 5 5 2 4 7 0 5 0 0 0] [5 0 7 2 2 5 5 0 0 5 5 7 7 7 5 0 5 5 5] [0 5 7 4 2 5 0 0 5 5 0 0 5 0 5 0 5 0 5] [0 0 2 2 2 5 5 0 5 0 5 5 0 5 0 5 0 0 5] [0 0 5 5 5 5 5 5 5 5 5 0 0 0 0 5 5 5 0] [5 5 5 5 0 5 5 0 0 0 5 5 0 0 0 0 5 0 5] [0 0 0 0 5 5 5 5 5 5 5 0 5 0 0 0 0 0 0] [0 5 5 0 5 0 5 5 5 0 5 0 0 0 0 0 2 2 7] [0 5 0 0 0 5 0 0 5 0 5 0 0 5 0 5 7 4 7] [5 0 0 5 5 0 5 5 5 5 5 0 5 5 0 5 7 7 2] [5 0 5 0 0 0 5 5 5 0 5 0 0 5 5 5 5 5 5] [0 5 0 5 0 0 0 0 5 0 5 5 0 5 0 0 5 5 5] [0 0 5 5 7 7 7 5 5 5 5 5 5 0 0 0 0 0 0] [0 5 5 5 2 4 2 5 5 0 0 5 0 0 0 5 5 5 0] [5 5 5 0 2 2 7 5 5 0 0 0 0 5 5 0 5 5 0] [0 5 0 0 5 0 0 5 0 5 0 5 0 5 5 5 0 5 0] [5 0 0 0 0 0 5 0 5 0 0 5 0 5 5 0 5 5 5]]# [[0 0 5 5 5 0 5 5 0 5 5 5 5 5 5 5 5 5 5] [5 5 2 5 5 5 5 5 5 0 5 0 0 0 2 2 5 5 0] [5 5 5 2 5 0 5 5 5 0 5 5 0 5 2 5 2 5 5] [0 0 5 5 0 5 5 5 5 0 5 5 0 5 5 2 5 0 0] [0 5 5 5 0 5 5 0 0 5 0 5 0 0 5 5 5 5 5] [5 0 0 5 5 5 5 0 5 5 5 5 0 5 0 0 5 5 5] [5 5 0 0 0 5 0 0 5 0 5 5 0 0 5 0 0 0 0] [0 5 5 0 0 5 0 5 5 5 0 0 5 5 0 0 5 5 5] [5 5 0 5 5 5 5 5 5 5 5 0 5 5 0 0 5 5 5] [5 5 5 5 0 0 0 5 5 0 0 5 5 5 0 5 5 5 5] [0 5 2 2 5 5 0 0 5 0 0 5 2 5 5 5 0 5 5] [5 5 5 5 5 0 0 5 0 0 0 5 5 2 5 0 0 0 5] [0 5 5 5 2 0 0 5 5 5 5 5 5 5 0 5 5 0 0] [0 0 0 0 0 0 5 0 0 0 5 5 5 5 0 5 5 5 0] [5 0 0 5 5 0 5 5 5 0 0 5 5 5 5 0 5 5 5] [5 5 5 5 5 5 5 5 5 0 0 5 0 0 0 5 5 5 0] [5 5 5 5 0 5 0 5 5 5 5 5 0 5 0 5 5 5 0] [5 0 5 0 5 5 0 5 5 0 0 5 0 5 5 0 0 5 5] [5 0 5 0 0 0 5 0 0 5 0 5 5 5 0 0 5 5 5]] -> [[0 0 7 7 7 0 5 5 0 5 5 5 5 5 5 5 5 5 5] [5 5 2 4 7 5 5 5 5 0 5 0 0 0 2 2 7 5 0] [5 5 7 2 7 0 5 5 5 0 5 5 0 5 2 4 2 5 5] [0 0 5 5 0 5 5 5 5 0 5 5 0 5 7 2 7 0 0] [0 5 5 5 0 5 5 0 0 5 0 5 0 0 5 5 5 5 5] [5 0 0 5 5 5 5 0 5 5 5 5 0 5 0 0 5 5 5] [5 5 0 0 0 5 0 0 5 0 5 5 0 0 5 0 0 0 0] [0 5 5 0 0 5 0 5 5 5 0 0 5 5 0 0 5 5 5] [5 5 0 5 5 5 5 5 5 5 5 0 5 5 0 0 5 5 5] [5 5 5 5 0 0 0 5 5 0 0 5 5 5 0 5 5 5 5] [0 5 2 2 7 5 0 0 5 0 0 7 2 7 5 5 0 5 5] [5 5 7 4 7 0 0 5 0 0 0 7 4 2 5 0 0 0 5] [0 5 7 7 2 0 0 5 5 5 5 7 7 7 0 5 5 0 0] [0 0 0 0 0 0 5 0 0 0 5 5 5 5 0 5 5 5 0] [5 0 0 5 5 0 5 5 5 0 0 5 5 5 5 0 5 5 5] [5 5 5 5 5 5 5 5 5 0 0 5 0 0 0 5 5 5 0] [5 5 5 5 0 5 0 5 5 5 5 5 0 5 0 5 5 5 0] [5 0 5 0 5 5 0 5 5 0 0 5 0 5 5 0 0 5 5] [5 0 5 0 0 0 5 0 0 5 0 5 5 5 0 0 5 5 5]]# There is a <image> shows all the examples before. Here is your test case: [[5 0 5 5 0 5 5 0 0 0 5 5 5 0 5 5 5 5 0] [0 5 5 5 0 0 0 5 0 5 5 5 5 5 0 5 5 0 5] [0 0 5 0 0 0 0 5 0 5 5 5 0 5 5 5 5 0 5] [0 5 5 0 5 0 0 0 5 5 5 0 5 2 5 5 5 0 5] [5 0 0 5 0 0 5 5 5 5 5 5 0 2 2 5 5 0 0] [5 5 5 0 5 5 5 5 0 0 5 0 5 0 5 0 0 5 5] [5 2 5 0 5 0 5 5 5 5 0 5 5 0 5 0 5 5 5] [5 5 2 5 5 0 5 5 0 5 5 5 5 0 5 5 0 5 5] [5 5 5 0 0 5 0 0 0 0 5 5 5 5 0 0 5 0 0] [5 5 0 5 5 0 5 0 5 0 5 0 5 5 0 5 0 5 5] [5 5 5 5 5 0 5 5 0 0 5 5 5 0 5 5 5 5 5] [5 5 5 5 0 0 5 0 0 0 0 0 0 0 0 5 0 5 5] [5 5 0 0 5 0 5 5 5 0 5 5 0 0 5 5 5 2 5] [5 5 5 5 5 2 5 5 5 5 0 5 0 0 5 0 2 5 5] [5 0 5 0 5 5 2 5 0 0 5 0 0 5 0 5 5 5 5] [5 5 5 5 5 2 5 5 5 0 5 5 5 5 0 5 5 5 5] [0 5 5 5 5 5 0 5 0 5 0 5 5 0 5 5 5 0 5] [5 5 0 5 0 0 0 0 5 0 5 5 5 0 0 0 0 5 5] [5 5 5 0 5 0 5 0 5 0 5 0 0 5 0 0 5 5 5]] ->
[[5 0 5 5 0 5 5 0 0 0 5 5 5 0 5 5 5 5 0] [0 5 5 5 0 0 0 5 0 5 5 5 5 5 0 5 5 0 5] [0 0 5 0 0 0 0 5 0 5 5 5 0 7 7 7 5 0 5] [0 5 5 0 5 0 0 0 5 5 5 0 5 2 4 7 5 0 5] [5 0 0 5 0 0 5 5 5 5 5 5 0 2 2 7 5 0 0] [5 5 5 0 5 5 5 5 0 0 5 0 5 0 5 0 0 5 5] [7 2 7 0 5 0 5 5 5 5 0 5 5 0 5 0 5 5 5] [7 4 2 5 5 0 5 5 0 5 5 5 5 0 5 5 0 5 5] [7 7 7 0 0 5 0 0 0 0 5 5 5 5 0 0 5 0 0] [5 5 0 5 5 0 5 0 5 0 5 0 5 5 0 5 0 5 5] [5 5 5 5 5 0 5 5 0 0 5 5 5 0 5 5 5 5 5] [5 5 5 5 0 0 5 0 0 0 0 0 0 0 0 5 0 5 5] [5 5 0 0 5 0 5 5 5 0 5 5 0 0 5 5 7 2 7] [5 5 5 5 7 2 7 5 5 5 0 5 0 0 5 0 2 4 7] [5 0 5 0 7 4 2 5 0 0 5 0 0 5 0 5 7 7 7] [5 5 5 5 7 2 7 5 5 0 5 5 5 5 0 5 5 5 5] [0 5 5 5 5 5 0 5 0 5 0 5 5 0 5 5 5 0 5] [5 5 0 5 0 0 0 0 5 0 5 5 5 0 0 0 0 5 5] [5 5 5 0 5 0 5 0 5 0 5 0 0 5 0 0 5 5 5]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[0 0 0 3 0 0 3 0 0 0 0 0] [0 0 0 3 0 0 3 0 0 0 0 0] [0 0 0 3 0 0 3 0 0 0 0 0] [0 0 0 3 0 0 3 0 0 0 0 0] [3 3 3 3 3 3 3 3 3 3 3 3] [0 0 0 3 0 0 3 0 0 0 0 0] [0 0 0 3 0 0 3 0 0 0 0 0] [3 3 3 3 3 3 3 3 3 3 3 3] [0 0 0 3 0 0 3 0 0 0 0 0] [0 0 0 3 0 0 3 0 0 0 0 0] [0 0 0 3 0 0 3 0 0 0 0 0] [0 0 0 3 0 0 3 0 0 0 0 0] [3 3 3 3 3 3 3 3 3 3 3 3] [0 0 0 3 0 0 3 0 0 0 0 0] [0 0 0 3 0 0 3 0 0 0 0 0] [0 0 0 3 0 0 3 0 0 0 0 0] [0 0 0 3 0 0 3 0 0 0 0 0] [0 0 0 3 0 0 3 0 0 0 0 0] [0 0 0 3 0 0 3 0 0 0 0 0]] -> [[2 2 2 3 0 0 3 4 4 4 4 4] [2 2 2 3 0 0 3 4 4 4 4 4] [2 2 2 3 0 0 3 4 4 4 4 4] [2 2 2 3 0 0 3 4 4 4 4 4] [3 3 3 3 3 3 3 3 3 3 3 3] [0 0 0 3 7 7 3 0 0 0 0 0] [0 0 0 3 7 7 3 0 0 0 0 0] [3 3 3 3 3 3 3 3 3 3 3 3] [0 0 0 3 7 7 3 0 0 0 0 0] [0 0 0 3 7 7 3 0 0 0 0 0] [0 0 0 3 7 7 3 0 0 0 0 0] [0 0 0 3 7 7 3 0 0 0 0 0] [3 3 3 3 3 3 3 3 3 3 3 3] [1 1 1 3 0 0 3 8 8 8 8 8] [1 1 1 3 0 0 3 8 8 8 8 8] [1 1 1 3 0 0 3 8 8 8 8 8] [1 1 1 3 0 0 3 8 8 8 8 8] [1 1 1 3 0 0 3 8 8 8 8 8] [1 1 1 3 0 0 3 8 8 8 8 8]]# [[0 0 0 3 0 0 0 3 0 0 0 0] [0 0 0 3 0 0 0 3 0 0 0 0] [0 0 0 3 0 0 0 3 0 0 0 0] [3 3 3 3 3 3 3 3 3 3 3 3] [0 0 0 3 0 0 0 3 0 0 0 0] [0 0 0 3 0 0 0 3 0 0 0 0] [0 0 0 3 0 0 0 3 0 0 0 0] [0 0 0 3 0 0 0 3 0 0 0 0] [0 0 0 3 0 0 0 3 0 0 0 0] [0 0 0 3 0 0 0 3 0 0 0 0] [3 3 3 3 3 3 3 3 3 3 3 3] [0 0 0 3 0 0 0 3 0 0 0 0] [0 0 0 3 0 0 0 3 0 0 0 0] [0 0 0 3 0 0 0 3 0 0 0 0] [0 0 0 3 0 0 0 3 0 0 0 0]] -> [[2 2 2 3 0 0 0 3 4 4 4 4] [2 2 2 3 0 0 0 3 4 4 4 4] [2 2 2 3 0 0 0 3 4 4 4 4] [3 3 3 3 3 3 3 3 3 3 3 3] [0 0 0 3 7 7 7 3 0 0 0 0] [0 0 0 3 7 7 7 3 0 0 0 0] [0 0 0 3 7 7 7 3 0 0 0 0] [0 0 0 3 7 7 7 3 0 0 0 0] [0 0 0 3 7 7 7 3 0 0 0 0] [0 0 0 3 7 7 7 3 0 0 0 0] [3 3 3 3 3 3 3 3 3 3 3 3] [1 1 1 3 0 0 0 3 8 8 8 8] [1 1 1 3 0 0 0 3 8 8 8 8] [1 1 1 3 0 0 0 3 8 8 8 8] [1 1 1 3 0 0 0 3 8 8 8 8]]# [[0 0 0 3 0 0 0 3 0 0 0 3 0 0 3 0] [0 0 0 3 0 0 0 3 0 0 0 3 0 0 3 0] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3] [0 0 0 3 0 0 0 3 0 0 0 3 0 0 3 0] [0 0 0 3 0 0 0 3 0 0 0 3 0 0 3 0] [0 0 0 3 0 0 0 3 0 0 0 3 0 0 3 0] [0 0 0 3 0 0 0 3 0 0 0 3 0 0 3 0] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3] [0 0 0 3 0 0 0 3 0 0 0 3 0 0 3 0] [0 0 0 3 0 0 0 3 0 0 0 3 0 0 3 0] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3] [0 0 0 3 0 0 0 3 0 0 0 3 0 0 3 0] [0 0 0 3 0 0 0 3 0 0 0 3 0 0 3 0] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3] [0 0 0 3 0 0 0 3 0 0 0 3 0 0 3 0] [0 0 0 3 0 0 0 3 0 0 0 3 0 0 3 0] [0 0 0 3 0 0 0 3 0 0 0 3 0 0 3 0] [0 0 0 3 0 0 0 3 0 0 0 3 0 0 3 0]] -> [[2 2 2 3 0 0 0 3 0 0 0 3 0 0 3 4] [2 2 2 3 0 0 0 3 0 0 0 3 0 0 3 4] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3] [0 0 0 3 7 7 7 3 7 7 7 3 7 7 3 0] [0 0 0 3 7 7 7 3 7 7 7 3 7 7 3 0] [0 0 0 3 7 7 7 3 7 7 7 3 7 7 3 0] [0 0 0 3 7 7 7 3 7 7 7 3 7 7 3 0] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3] [0 0 0 3 7 7 7 3 7 7 7 3 7 7 3 0] [0 0 0 3 7 7 7 3 7 7 7 3 7 7 3 0] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3] [0 0 0 3 7 7 7 3 7 7 7 3 7 7 3 0] [0 0 0 3 7 7 7 3 7 7 7 3 7 7 3 0] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3] [1 1 1 3 0 0 0 3 0 0 0 3 0 0 3 8] [1 1 1 3 0 0 0 3 0 0 0 3 0 0 3 8] [1 1 1 3 0 0 0 3 0 0 0 3 0 0 3 8] [1 1 1 3 0 0 0 3 0 0 0 3 0 0 3 8]]# There is a <image> shows all the examples before. Here is your test case: [[0 0 3 0 0 0 3 0 0 3 0 0 0 0 0] [0 0 3 0 0 0 3 0 0 3 0 0 0 0 0] [0 0 3 0 0 0 3 0 0 3 0 0 0 0 0] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3] [0 0 3 0 0 0 3 0 0 3 0 0 0 0 0] [0 0 3 0 0 0 3 0 0 3 0 0 0 0 0] [0 0 3 0 0 0 3 0 0 3 0 0 0 0 0] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3] [0 0 3 0 0 0 3 0 0 3 0 0 0 0 0] [0 0 3 0 0 0 3 0 0 3 0 0 0 0 0] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3] [0 0 3 0 0 0 3 0 0 3 0 0 0 0 0] [0 0 3 0 0 0 3 0 0 3 0 0 0 0 0] [0 0 3 0 0 0 3 0 0 3 0 0 0 0 0] [0 0 3 0 0 0 3 0 0 3 0 0 0 0 0]] ->
[[2 2 3 0 0 0 3 0 0 3 4 4 4 4 4] [2 2 3 0 0 0 3 0 0 3 4 4 4 4 4] [2 2 3 0 0 0 3 0 0 3 4 4 4 4 4] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3] [0 0 3 7 7 7 3 7 7 3 0 0 0 0 0] [0 0 3 7 7 7 3 7 7 3 0 0 0 0 0] [0 0 3 7 7 7 3 7 7 3 0 0 0 0 0] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3] [0 0 3 7 7 7 3 7 7 3 0 0 0 0 0] [0 0 3 7 7 7 3 7 7 3 0 0 0 0 0] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3] [1 1 3 0 0 0 3 0 0 3 8 8 8 8 8] [1 1 3 0 0 0 3 0 0 3 8 8 8 8 8] [1 1 3 0 0 0 3 0 0 3 8 8 8 8 8] [1 1 3 0 0 0 3 0 0 3 8 8 8 8 8]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[0 0 0 0 3 3 3 0 0 0] [2 2 2 2 3 2 3 2 2 2] [0 0 0 0 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] [2 2 2 2 2 2 2 2 2 2] [0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0]] -> [[0 0 0 0 3 3 3 0 0 0] [2 2 2 2 3 2 3 2 2 2] [0 0 0 0 3 3 3 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 1 1 1 0 0 0] [2 2 2 2 1 2 1 2 2 2] [0 0 0 0 1 1 1 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 2 0 0 0 0 0 2 0 0] [0 0 3 3 3 0 0 0 0 2 0 0] [0 0 3 2 3 0 0 0 0 2 0 0] [0 0 3 3 3 0 0 0 0 2 0 0] [0 0 0 2 0 0 0 0 0 2 0 0] [0 0 0 2 0 0 0 0 0 2 0 0] [0 0 0 2 0 0 0 0 0 2 0 0] [0 0 0 2 0 0 0 0 0 2 0 0] [0 0 0 2 0 0 0 0 0 2 0 0] [0 0 0 2 0 0 0 0 0 2 0 0] [0 0 0 2 0 0 0 0 3 3 3 0] [0 0 0 2 0 0 0 0 3 2 3 0] [0 0 0 2 0 0 0 0 3 3 3 0] [0 0 0 2 0 0 0 0 0 2 0 0] [0 0 0 2 0 0 0 0 0 2 0 0]] -> [[0 0 0 2 0 0 0 0 0 2 0 0] [0 0 3 3 3 0 0 0 1 1 1 0] [1 1 3 2 3 1 1 1 1 2 1 1] [0 0 3 3 3 0 0 0 1 1 1 0] [0 0 0 2 0 0 0 0 0 2 0 0] [0 0 0 2 0 0 0 0 0 2 0 0] [0 0 0 2 0 0 0 0 0 2 0 0] [0 0 0 2 0 0 0 0 0 2 0 0] [0 0 0 2 0 0 0 0 0 2 0 0] [0 0 0 2 0 0 0 0 0 2 0 0] [0 0 1 1 1 0 0 0 3 3 3 0] [1 1 1 2 1 1 1 1 3 2 3 1] [0 0 1 1 1 0 0 0 3 3 3 0] [0 0 0 2 0 0 0 0 0 2 0 0] [0 0 0 2 0 0 0 0 0 2 0 0]]# [[0 0 0 0 2 0 0 0 0 0 0 0] [0 0 0 0 2 0 0 0 0 0 0 0] [0 0 0 0 2 0 0 0 0 0 0 0] [0 0 0 0 2 0 0 0 0 0 0 0] [0 0 0 0 2 0 0 0 0 0 0 0] [0 0 0 3 3 3 0 0 0 0 0 0] [0 0 0 3 2 3 0 0 0 0 0 0] [0 0 0 3 3 3 0 0 0 0 0 0] [0 0 0 0 2 0 0 0 0 0 0 0] [0 0 0 0 2 0 0 0 0 0 0 0] [0 0 0 0 2 0 0 0 0 0 0 0] [0 0 0 0 2 0 0 0 0 0 0 0]] -> [[0 0 0 0 2 0 0 0 0 0 0 0] [0 0 0 0 2 0 0 0 0 0 0 0] [0 0 0 0 2 0 0 0 0 0 0 0] [0 0 0 0 2 0 0 0 0 0 0 0] [0 0 0 0 2 0 0 0 0 0 0 0] [0 0 0 3 3 3 0 0 0 0 0 0] [1 1 1 3 2 3 1 1 1 1 1 1] [0 0 0 3 3 3 0 0 0 0 0 0] [0 0 0 0 2 0 0 0 0 0 0 0] [0 0 0 0 2 0 0 0 0 0 0 0] [0 0 0 0 2 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 3 3 3 0 0 0 0 0 0 0 0] [2 2 2 3 2 3 2 2 2 2 2 2 2 2] [0 0 0 3 3 3 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0] [2 2 2 2 2 2 2 2 2 2 2 2 2 2] [0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0] [2 2 2 2 2 2 2 2 2 3 2 3 2 2] [0 0 0 0 0 0 0 0 0 3 3 3 0 0]] -> [[0 0 0 0 1 0 0 0 0 0 1 0 0 0] [0 0 0 0 1 0 0 0 0 0 1 0 0 0] [0 0 0 3 3 3 0 0 0 1 1 1 0 0] [2 2 2 3 2 3 2 2 2 1 2 1 2 2] [0 0 0 3 3 3 0 0 0 1 1 1 0 0] [0 0 0 0 1 0 0 0 0 0 1 0 0 0] [0 0 0 0 1 0 0 0 0 0 1 0 0 0] [0 0 0 1 1 1 0 0 0 1 1 1 0 0] [2 2 2 1 2 1 2 2 2 1 2 1 2 2] [0 0 0 1 1 1 0 0 0 1 1 1 0 0] [0 0 0 0 1 0 0 0 0 0 1 0 0 0] [0 0 0 0 1 0 0 0 0 0 1 0 0 0] [0 0 0 0 1 0 0 0 0 0 1 0 0 0] [0 0 0 1 1 1 0 0 0 3 3 3 0 0] [2 2 2 1 2 1 2 2 2 3 2 3 2 2] [0 0 0 1 1 1 0 0 0 3 3 3 0 0]]# There is a <image> shows all the examples before. Here is your test case: [[0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0] [0 3 3 3 0 0 0 2 0 0 0 2 0 0 0 0 2 0] [0 3 2 3 0 0 0 2 0 0 0 2 0 0 0 0 2 0] [0 3 3 3 0 0 0 2 0 0 0 2 0 0 0 0 2 0] [0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0] [0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0] [0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0] [0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0] [0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0] [0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0] [0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0] [0 0 2 0 0 0 0 2 0 0 3 3 3 0 0 0 2 0] [0 0 2 0 0 0 0 2 0 0 3 2 3 0 0 0 2 0] [0 0 2 0 0 0 0 2 0 0 3 3 3 0 0 0 2 0] [0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0] [0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0]] ->
[[0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0] [0 3 3 3 0 0 1 1 1 0 1 1 1 0 0 1 1 1] [1 3 2 3 1 1 1 2 1 1 1 2 1 1 1 1 2 1] [0 3 3 3 0 0 1 1 1 0 1 1 1 0 0 1 1 1] [0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0] [0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0] [0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0] [0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0] [0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0] [0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0] [0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0] [0 1 1 1 0 0 1 1 1 0 3 3 3 0 0 1 1 1] [1 1 2 1 1 1 1 2 1 1 3 2 3 1 1 1 2 1] [0 1 1 1 0 0 1 1 1 0 3 3 3 0 0 1 1 1] [0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0] [0 0 2 0 0 0 0 2 0 0 0 2 0 0 0 0 2 0]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[0 0 0 0 0 0 0] [0 4 0 0 0 4 0] [0 0 4 0 0 0 0] [1 1 1 1 1 1 4] [1 0 0 0 4 1 0] [1 4 0 4 0 1 0] [1 1 1 1 1 1 0]] -> [[4 4 4] [0 0 0] [0 0 0]]# [[0 0 0 0 0 0 0 0 0] [0 0 6 1 1 1 1 1 1] [0 0 0 1 6 0 6 0 1] [0 0 0 1 0 6 0 0 1] [0 0 0 1 0 0 0 6 1] [0 6 0 1 6 0 0 0 1] [0 0 0 1 1 1 1 1 1] [0 0 0 6 0 0 0 0 0] [0 0 0 0 0 0 0 0 0]] -> [[6 6 6] [6 6 0] [0 0 0]]# [[0 0 0 0 0 3 0 0 0] [3 0 1 1 1 1 1 0 0] [0 0 1 0 0 3 1 0 0] [0 0 1 0 0 0 1 3 0] [0 0 1 0 0 3 1 0 0] [0 0 1 3 0 0 1 0 0] [0 3 1 0 0 0 1 0 0] [0 0 1 0 3 0 1 3 0] [0 0 1 1 1 1 1 0 0]] -> [[3 3 3] [3 0 0] [0 0 0]]# There is a <image> shows all the examples before. Here is your test case: [[2 0 0 0 0 0 2 0 0] [1 1 1 1 1 1 1 0 0] [1 0 2 0 0 0 1 0 0] [1 0 0 0 2 0 1 2 0] [1 0 0 0 0 2 1 0 0] [1 2 0 0 0 0 1 0 2] [1 1 1 1 1 1 1 0 0] [0 0 0 2 0 0 0 0 0] [0 0 0 0 0 0 0 2 0]] ->
[[2 2 2] [2 0 0] [0 0 0]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[6 6 0 6 6 0 6 6 0 6 6 0 6 6] [6 0 0 6 6 0 6 6 0 6 0 0 6 0] [6 6 0 6 6 0 6 6 0 6 6 0 6 6] [6 0 0 6 0 0 6 0 0 6 0 0 6 0] [6 6 0 6 6 0 6 6 0 6 6 0 6 6] [6 6 0 6 6 0 6 6 0 6 0 0 6 0] [6 6 0 6 6 0 6 6 0 6 6 0 6 6] [6 6 0 6 0 0 6 0 0 6 0 0 6 0] [6 6 0 6 6 0 6 6 0 6 6 0 6 6] [6 6 0 6 0 0 6 6 0 6 0 0 6 6] [6 6 0 6 6 0 6 6 0 6 6 0 6 6] [6 0 0 6 0 0 6 6 0 6 0 0 6 0] [6 6 0 6 6 0 6 6 0 6 6 0 6 6]] -> [[6 6 0 6 6 0 6 6 0 6 6 0 6 6] [6 0 0 6 0 0 6 6 0 6 0 0 6 6] [6 6 0 6 6 0 6 6 0 6 6 0 6 6] [6 0 0 6 0 0 6 0 0 6 0 0 6 0] [6 6 0 6 6 0 6 6 0 6 6 0 6 6] [6 0 0 6 0 0 6 6 0 6 6 0 6 6] [6 6 0 6 6 0 6 6 0 6 6 0 6 6] [6 0 0 6 0 0 6 0 0 6 6 0 6 0] [6 6 0 6 6 0 6 6 0 6 6 0 6 6] [6 0 0 6 6 0 6 0 0 6 6 0 6 6] [6 6 0 6 6 0 6 6 0 6 6 0 6 6] [6 0 0 6 0 0 6 0 0 6 0 0 6 6] [6 6 0 6 6 0 6 6 0 6 6 0 6 6]]# [[7 7 0 7 7 0 7 7 0 7 7 0 7 7] [7 7 0 7 0 0 7 7 0 7 0 0 7 7] [7 7 0 7 7 0 7 7 0 7 7 0 7 7] [7 0 0 7 0 0 7 0 0 7 0 0 7 7] [7 7 0 7 7 0 7 7 0 7 7 0 7 7] [7 7 0 7 0 0 7 7 0 7 7 0 7 7] [7 7 0 7 7 0 7 7 0 7 7 0 7 7] [7 0 0 7 7 0 7 7 0 7 7 0 7 0] [7 7 0 7 7 0 7 7 0 7 7 0 7 7] [7 0 0 7 0 0 7 7 0 7 0 0 7 7] [7 7 0 7 7 0 7 7 0 7 7 0 7 7] [7 7 0 7 0 0 7 7 0 7 0 0 7 0] [7 7 0 7 7 0 7 7 0 7 7 0 7 7]] -> [[7 7 0 7 7 0 7 7 0 7 7 0 7 7] [7 0 0 7 0 0 7 7 0 7 7 0 7 7] [7 7 0 7 7 0 7 7 0 7 7 0 7 7] [7 0 0 7 0 0 7 0 0 7 7 0 7 0] [7 7 0 7 7 0 7 7 0 7 7 0 7 7] [7 0 0 7 7 0 7 7 0 7 7 0 7 7] [7 7 0 7 7 0 7 7 0 7 7 0 7 7] [7 7 0 7 7 0 7 0 0 7 0 0 7 7] [7 7 0 7 7 0 7 7 0 7 7 0 7 7] [7 0 0 7 0 0 7 0 0 7 7 0 7 7] [7 7 0 7 7 0 7 7 0 7 7 0 7 7] [7 0 0 7 0 0 7 7 0 7 0 0 7 7] [7 7 0 7 7 0 7 7 0 7 7 0 7 7]]# [[1 1 0 1 1 0 1 1 0 1 1 0 1 1] [1 0 0 1 1 0 1 0 0 1 0 0 1 1] [1 1 0 1 1 0 1 1 0 1 1 0 1 1] [1 0 0 1 0 0 1 0 0 1 0 0 1 1] [1 1 0 1 1 0 1 1 0 1 1 0 1 1] [1 1 0 1 0 0 1 0 0 1 0 0 1 1] [1 1 0 1 1 0 1 1 0 1 1 0 1 1] [1 1 0 1 0 0 1 0 0 1 1 0 1 0] [1 1 0 1 1 0 1 1 0 1 1 0 1 1] [1 1 0 1 0 0 1 0 0 1 0 0 1 1] [1 1 0 1 1 0 1 1 0 1 1 0 1 1] [1 1 0 1 1 0 1 0 0 1 0 0 1 1] [1 1 0 1 1 0 1 1 0 1 1 0 1 1]] -> [[1 1 0 1 1 0 1 1 0 1 1 0 1 1] [1 0 0 1 0 0 1 1 0 1 0 0 1 1] [1 1 0 1 1 0 1 1 0 1 1 0 1 1] [1 0 0 1 0 0 1 0 0 1 0 0 1 1] [1 1 0 1 1 0 1 1 0 1 1 0 1 1] [1 0 0 1 0 0 1 0 0 1 1 0 1 1] [1 1 0 1 1 0 1 1 0 1 1 0 1 1] [1 0 0 1 1 0 1 0 0 1 1 0 1 0] [1 1 0 1 1 0 1 1 0 1 1 0 1 1] [1 0 0 1 0 0 1 0 0 1 1 0 1 1] [1 1 0 1 1 0 1 1 0 1 1 0 1 1] [1 0 0 1 0 0 1 1 0 1 1 0 1 1] [1 1 0 1 1 0 1 1 0 1 1 0 1 1]]# [[1 1 0 1 1 0 1 1 0 1 1 0 1 1] [1 0 0 1 0 0 1 1 0 1 0 0 1 0] [1 1 0 1 1 0 1 1 0 1 1 0 1 1] [1 0 0 1 1 0 1 0 0 1 0 0 1 0] [1 1 0 1 1 0 1 1 0 1 1 0 1 1] [1 1 0 1 1 0 1 1 0 1 0 0 1 0] [1 1 0 1 1 0 1 1 0 1 1 0 1 1] [1 1 0 1 1 0 1 1 0 1 0 0 1 0] [1 1 0 1 1 0 1 1 0 1 1 0 1 1] [1 1 0 1 1 0 1 0 0 1 0 0 1 1] [1 1 0 1 1 0 1 1 0 1 1 0 1 1] [1 1 0 1 1 0 1 0 0 1 0 0 1 0] [1 1 0 1 1 0 1 1 0 1 1 0 1 1]] -> [[1 1 0 1 1 0 1 1 0 1 1 0 1 1] [1 0 0 1 0 0 1 1 0 1 0 0 1 0] [1 1 0 1 1 0 1 1 0 1 1 0 1 1] [1 0 0 1 0 0 1 0 0 1 0 0 1 1] [1 1 0 1 1 0 1 1 0 1 1 0 1 1] [1 0 0 1 0 0 1 1 0 1 1 0 1 1] [1 1 0 1 1 0 1 1 0 1 1 0 1 1] [1 0 0 1 0 0 1 1 0 1 1 0 1 1] [1 1 0 1 1 0 1 1 0 1 1 0 1 1] [1 0 0 1 1 0 1 0 0 1 1 0 1 1] [1 1 0 1 1 0 1 1 0 1 1 0 1 1] [1 0 0 1 0 0 1 0 0 1 1 0 1 1] [1 1 0 1 1 0 1 1 0 1 1 0 1 1]]# There is a <image> shows all the examples before. Here is your test case: [[6 6 0 6 6 0 6 6 0 6 6 0 6 6] [6 0 0 6 6 0 6 0 0 6 6 0 6 0] [6 6 0 6 6 0 6 6 0 6 6 0 6 6] [6 6 0 6 0 0 6 6 0 6 0 0 6 0] [6 6 0 6 6 0 6 6 0 6 6 0 6 6] [6 6 0 6 6 0 6 6 0 6 0 0 6 0] [6 6 0 6 6 0 6 6 0 6 6 0 6 6] [6 6 0 6 0 0 6 6 0 6 0 0 6 0] [6 6 0 6 6 0 6 6 0 6 6 0 6 6] [6 6 0 6 0 0 6 6 0 6 0 0 6 6] [6 6 0 6 6 0 6 6 0 6 6 0 6 6] [6 0 0 6 6 0 6 6 0 6 0 0 6 6] [6 6 0 6 6 0 6 6 0 6 6 0 6 6]] ->
[[6 6 0 6 6 0 6 6 0 6 6 0 6 6] [6 6 0 6 0 0 6 6 0 6 0 0 6 0] [6 6 0 6 6 0 6 6 0 6 6 0 6 6] [6 0 0 6 0 0 6 0 0 6 6 0 6 6] [6 6 0 6 6 0 6 6 0 6 6 0 6 6] [6 0 0 6 0 0 6 6 0 6 6 0 6 6] [6 6 0 6 6 0 6 6 0 6 6 0 6 6] [6 0 0 6 0 0 6 0 0 6 6 0 6 6] [6 6 0 6 6 0 6 6 0 6 6 0 6 6] [6 0 0 6 6 0 6 0 0 6 6 0 6 6] [6 6 0 6 6 0 6 6 0 6 6 0 6 6] [6 0 0 6 6 0 6 6 0 6 0 0 6 6] [6 6 0 6 6 0 6 6 0 6 6 0 6 6]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[0 0 0 0 0 0 0 0 0 0 0 0 0] [0 4 4 4 0 0 0 2 2 2 0 0 0] [0 4 0 4 0 0 0 2 0 2 0 0 0] [0 4 4 4 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 3 3 3 3 0 0 0 0 0 0] [0 0 0 3 0 0 3 0 0 0 0 0 0] [0 0 0 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 3 3 3 0 0 0] [8 8 8 8 0 0 0 3 0 3 0 0 0] [8 0 0 8 0 0 0 3 3 3 0 0 0] [8 8 8 8 0 0 0 0 0 0 0 0 0]] -> [[0 0 0 0 0 0 0 0 0 0 0 0 0] [0 4 4 4 0 0 0 2 2 2 0 0 0] [0 4 5 4 0 0 0 2 5 2 0 0 0] [0 4 4 4 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 3 3 3 3 0 0 0 0 0 0] [0 0 0 3 7 7 3 0 0 0 0 0 0] [0 0 0 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 3 3 3 0 0 0] [8 8 8 8 0 0 0 3 5 3 0 0 0] [8 7 7 8 0 0 0 3 3 3 0 0 0] [8 8 8 8 0 0 0 0 0 0 0 0 0]]# [[0 0 0 0 0 0] [0 8 8 8 0 0] [0 8 0 8 0 0] [0 8 8 8 0 0] [0 0 0 0 0 0] [0 0 0 0 0 0]] -> [[0 0 0 0 0 0] [0 8 8 8 0 0] [0 8 5 8 0 0] [0 8 8 8 0 0] [0 0 0 0 0 0] [0 0 0 0 0 0]]# [[0 0 0 0 0 0] [4 4 4 0 0 0] [4 0 4 0 0 0] [4 0 4 0 0 0] [4 4 4 0 0 0] [0 0 0 0 0 0]] -> [[0 0 0 0 0 0] [4 4 4 0 0 0] [4 7 4 0 0 0] [4 7 4 0 0 0] [4 4 4 0 0 0] [0 0 0 0 0 0]]# [[0 0 0 0 0 0 0 0 0 0 0 0] [0 4 4 4 4 0 0 0 0 0 0 0] [0 4 0 0 4 0 0 3 3 3 0 0] [0 4 4 4 4 0 0 3 0 3 0 0] [0 0 0 0 0 0 0 3 0 3 0 0] [0 0 0 0 0 0 0 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 3 3 3 0 0 2 2 2 2] [0 0 0 3 0 3 0 0 2 0 0 2] [0 0 0 3 3 3 0 0 2 2 2 2] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 2 2 2 0 0 0 0] [0 0 0 0 0 2 0 2 0 0 0 0] [0 0 0 0 0 2 2 2 0 0 0 0]] -> [[0 0 0 0 0 0 0 0 0 0 0 0] [0 4 4 4 4 0 0 0 0 0 0 0] [0 4 7 7 4 0 0 3 3 3 0 0] [0 4 4 4 4 0 0 3 7 3 0 0] [0 0 0 0 0 0 0 3 7 3 0 0] [0 0 0 0 0 0 0 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 3 3 3 0 0 2 2 2 2] [0 0 0 3 5 3 0 0 2 7 7 2] [0 0 0 3 3 3 0 0 2 2 2 2] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 2 2 2 0 0 0 0] [0 0 0 0 0 2 5 2 0 0 0 0] [0 0 0 0 0 2 2 2 0 0 0 0]]# There is a <image> shows all the examples before. Here is your test case: [[0 0 0 0 0 0 0 0 0 0 0 0] [0 4 4 4 0 0 0 0 0 0 0 0] [0 4 0 4 0 0 2 2 2 2 0 0] [0 4 4 4 0 0 2 0 0 2 0 0] [0 0 0 0 0 0 2 2 2 2 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [3 3 3 0 2 2 2 0 0 0 0 0] [3 0 3 0 2 0 2 0 0 0 0 0] [3 0 3 0 2 2 2 0 0 3 3 3] [3 3 3 0 0 0 0 0 0 3 0 3] [0 0 0 0 0 0 0 0 0 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 4 4 4 0 0 0 0 0 0 0 0] [0 4 5 4 0 0 2 2 2 2 0 0] [0 4 4 4 0 0 2 7 7 2 0 0] [0 0 0 0 0 0 2 2 2 2 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [3 3 3 0 2 2 2 0 0 0 0 0] [3 7 3 0 2 5 2 0 0 0 0 0] [3 7 3 0 2 2 2 0 0 3 3 3] [3 3 3 0 0 0 0 0 0 3 5 3] [0 0 0 0 0 0 0 0 0 3 3 3] [0 0 0 0 0 0 0 0 0 0 0 0]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[8 8 8 0 0 0] [0 0 8 8 0 8] [0 8 0 0 0 0] [8 8 0 0 8 8] [8 0 8 8 8 8] [0 0 0 0 8 8]] -> [[5 5 5 0 0 0] [0 0 2 2 0 2] [0 2 0 0 0 0] [5 2 0 0 5 5] [5 0 2 2 5 2] [0 0 0 0 5 5]]# [[8 8 0 8 8 0] [8 0 8 8 8 0] [0 0 8 8 8 8] [0 8 0 0 8 8] [8 8 0 8 0 8] [8 0 0 8 0 8]] -> [[2 5 0 2 5 0] [2 0 5 2 5 0] [0 0 5 5 2 2] [0 5 0 0 2 2] [2 5 0 2 0 5] [2 0 0 2 0 5]]# [[0 8 0 8 8 8] [8 8 8 8 8 0] [8 0 8 0 8 0] [0 8 8 8 0 8] [8 8 0 8 8 0] [8 8 0 0 0 8]] -> [[0 2 0 5 5 2] [2 2 5 2 2 0] [5 0 2 0 5 0] [0 5 2 5 0 5] [2 2 0 2 2 0] [5 2 0 0 0 2]]# [[0 8 8 0 0 8] [8 8 8 0 0 0] [8 8 8 0 8 0] [8 0 8 8 0 8] [8 8 0 0 0 0] [8 8 8 8 8 0]] -> [[0 5 2 0 0 5] [2 2 5 0 0 0] [2 5 2 0 5 0] [2 0 2 5 0 5] [2 2 0 0 0 0] [5 5 2 5 5 0]]# There is a <image> shows all the examples before. Here is your test case: [[0 0 0 8 0 8] [8 8 8 0 8 8] [8 8 8 8 0 8] [8 0 0 0 8 8] [0 8 0 0 0 8] [8 8 8 0 8 8]] ->
[[0 0 0 8 0 2] [8 2 8 0 8 2] [2 8 8 8 0 2] [2 0 0 0 8 2] [0 2 0 0 0 2] [8 8 8 0 8 2]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 1 1 1 0 0 2 0 0 0 3 0 0 0] [0 0 1 0 1 0 0 2 0 0 3 3 3 0 0] [0 0 1 1 1 0 2 2 2 0 0 3 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 0 0 0 0 0 0] [0 0 0 0 0 1 0 1 0 0 0 0 0 0 0] [0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 3 0 0 0 0 0 0 0 0] [0 0 0 0 0 3 3 3 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 1 1 1 0 0 0 0 0 0 0] [0 0 0 0 0 1 0 1 0 0 0 0 0 0 0] [0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 1 0 1 0 0 2 0 0 4 4 4 0 0] [0 0 0 1 0 0 0 2 0 0 4 4 4 0 0] [0 0 1 0 1 0 2 2 2 0 0 4 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 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 1 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 1 0 1 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[0 0 0 0 0 4 4 4 0 0 0 0 0 0 0] [0 0 0 0 0 4 4 4 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 1 0 1 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 1 0 1 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]# [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 1 0 0 2 2 2 0 6 6 6 0 0] [0 0 1 1 1 0 0 2 0 0 6 0 6 0 0] [0 0 0 1 0 0 0 2 0 0 0 6 6 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 1 0 0 0 0 0 0 0] [0 0 0 0 0 0 1 1 1 0 0 0 0 0 0] [0 0 0 0 0 0 0 1 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 1 0 0 0 0 0 0 0] [0 0 0 0 0 0 1 1 1 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 6 6 6 0 0 0 0 0 0] [0 0 0 0 0 0 6 0 6 0 0 0 0 0 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 0 0 0 0] [0 0 0 0 0 0 0 0 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 1 0 0 2 2 2 0 0 7 0 0 0] [0 0 0 1 0 0 0 2 0 0 7 0 7 0 0] [0 0 0 1 1 0 0 2 0 0 0 7 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 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 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 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 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 1 1 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 7 0 7 0 0 0 0] [0 0 0 0 0 0 0 0 0 7 0 0 0 0 0]]# There is a <image> shows all the examples before. Here is your test case: [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 1 1 0 0 0 2 0 0 8 0 0 0 0] [0 0 0 1 1 0 0 2 0 0 8 8 0 0 0] [0 0 1 1 0 0 2 2 2 0 0 8 8 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 1 1 0 0 0 0 0 0 0 0 0 0 0] [0 1 1 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] ->
[[0 0 0 0 0 0 0 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 8 8 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 8 8 0 0 0 0 0 0 0 0 0 0 0] [0 1 1 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 1 1 0 0 0 0 0 0 0 0 0 0 0] [0 1 1 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 1 1 1 0 0 2 0 0 0 3 0 0 0] [0 0 1 0 1 0 0 2 0 0 3 3 3 0 0] [0 0 1 1 1 0 2 2 2 0 0 3 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 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 1 1 0 0 0 0 0 0 0] [0 0 0 0 0 1 0 1 0 0 0 0 0 0 0] [0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 3 0 0 0 0 0 0 0 0] [0 0 0 0 0 3 3 3 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 1 1 1 0 0 0 0 0 0 0] [0 0 0 0 0 1 0 1 0 0 0 0 0 0 0] [0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 1 0 1 0 0 2 0 0 4 4 4 0 0] [0 0 0 1 0 0 0 2 0 0 4 4 4 0 0] [0 0 1 0 1 0 2 2 2 0 0 4 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 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 1 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 1 0 1 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[0 0 0 0 0 4 4 4 0 0 0 0 0 0 0] [0 0 0 0 0 4 4 4 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 1 0 1 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 1 0 1 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]# [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 1 0 0 2 2 2 0 6 6 6 0 0] [0 0 1 1 1 0 0 2 0 0 6 0 6 0 0] [0 0 0 1 0 0 0 2 0 0 0 6 6 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 1 0 0 0 0 0 0 0] [0 0 0 0 0 0 1 1 1 0 0 0 0 0 0] [0 0 0 0 0 0 0 1 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 1 0 0 0 0 0 0 0] [0 0 0 0 0 0 1 1 1 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 6 6 6 0 0 0 0 0 0] [0 0 0 0 0 0 6 0 6 0 0 0 0 0 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 0 0 0 0] [0 0 0 0 0 0 0 0 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 1 0 0 2 2 2 0 0 7 0 0 0] [0 0 0 1 0 0 0 2 0 0 7 0 7 0 0] [0 0 0 1 1 0 0 2 0 0 0 7 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 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 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 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 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 1 1 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 7 0 7 0 0 0 0] [0 0 0 0 0 0 0 0 0 7 0 0 0 0 0]]# There is a <image> shows all the examples before. Here is your test case: [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 1 0 0 0 2 2 2 0 3 3 3 0 0] [0 0 1 1 0 0 0 2 0 0 3 0 3 0 0] [0 0 1 1 1 0 0 2 0 0 3 3 3 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 1 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 1 1 0 0 0 0 0 0 0 0 0 0 0 0] [0 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 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] ->
[[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 1 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 1 1 0 0 0 0 0 0 0 0 0 0 0 0] [0 1 1 1 0 0 0 0 0 0 0 0 0 0 0] [0 3 3 3 0 0 0 0 0 0 0 0 0 0 0] [0 3 0 3 0 0 0 0 0 0 0 0 0 0 0] [0 3 3 3 0 0 0 0 0 0 0 0 0 0 0]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[0 8 0 0 0 8 0 0 0 8] [0 8 0 0 0 8 0 0 0 8] [0 8 0 0 0 8 0 0 0 8] [0 0 0 0 0 0 0 0 0 0] [0 0 0 0 2 2 2 0 0 0] [0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 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 8 0 0 0 8] [0 8 0 0 0 8 0 0 0 8] [0 8 0 0 0 8 0 0 0 8] [0 8 0 0 0 8 8 8 0 8] [0 8 0 0 2 2 2 8 0 8] [0 8 0 0 0 0 0 8 0 8] [0 8 0 0 0 0 0 8 0 8] [0 8 0 0 0 0 0 8 0 8] [0 8 0 0 0 0 0 8 0 8]]# [[0 8 0 8 0 8 0 8 0 8 0 8] [0 8 0 8 0 8 0 8 0 8 0 8] [0 8 0 8 0 8 0 8 0 8 0 8] [0 8 0 8 0 8 0 8 0 8 0 8] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 2 2 2 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 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 8 0 8 0 8 0 8 0 8] [0 8 0 8 0 8 0 8 0 8 0 8] [0 8 0 8 0 8 0 8 0 8 0 8] [0 8 0 8 0 8 0 8 0 8 0 8] [0 8 0 8 8 8 0 8 8 8 0 8] [0 8 0 8 8 2 2 2 8 8 0 8] [0 8 0 8 8 0 0 0 8 8 0 8] [0 8 0 8 8 0 0 0 8 8 0 8] [0 8 0 8 8 0 0 0 8 8 0 8] [0 8 0 8 8 0 0 0 8 8 0 8]]# [[0 8 0 0 0 8 0 8 0 0 8 0] [0 8 0 0 0 8 0 8 0 0 8 0] [0 8 0 0 0 8 0 8 0 0 8 0] [0 8 0 0 0 8 0 8 0 0 8 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 2 2 0 0 2 2 2 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0]] -> [[0 8 0 0 0 8 0 8 0 0 8 0] [0 8 0 0 0 8 0 8 0 0 8 0] [0 8 0 0 0 8 0 8 0 0 8 0] [0 8 0 0 0 8 0 8 0 0 8 0] [8 8 0 0 8 8 0 8 8 0 8 0] [8 2 2 0 8 2 2 2 8 0 8 0] [8 0 0 0 8 0 0 0 8 0 8 0] [8 0 0 0 8 0 0 0 8 0 8 0] [8 0 0 0 8 0 0 0 8 0 8 0] [8 0 0 0 8 0 0 0 8 0 8 0]]# [[8 0 8 0 0 0 8 0 0 8 0 8] [8 0 8 0 0 0 8 0 0 8 0 8] [8 0 8 0 0 0 8 0 0 8 0 8] [8 0 8 0 0 0 8 0 0 8 0 8] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 2 2 0 2 2 2 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0]] -> [[8 0 8 0 0 0 8 0 0 8 0 8] [8 0 8 0 0 0 8 0 0 8 0 8] [8 0 8 0 0 0 8 0 0 8 0 8] [8 0 8 0 0 0 8 0 0 8 0 8] [8 8 8 0 0 0 8 8 8 8 0 8] [8 8 2 2 0 2 2 2 8 8 0 8] [8 8 0 0 0 0 0 0 8 8 0 8] [8 8 0 0 0 0 0 0 8 8 0 8] [8 8 0 0 0 0 0 0 8 8 0 8] [8 8 0 0 0 0 0 0 8 8 0 8]]# There is a <image> shows all the examples before. Here is your test case: [[0 8 0 0 8 0 0 8 0 0 8 0 0 8 0] [0 8 0 0 8 0 0 8 0 0 8 0 0 8 0] [0 8 0 0 8 0 0 8 0 0 8 0 0 8 0] [0 8 0 0 8 0 0 8 0 0 8 0 0 8 0] [0 0 0 0 2 2 0 0 0 0 2 2 2 2 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] ->
[[0 8 0 0 8 0 0 8 0 0 8 0 0 8 0] [0 8 0 0 8 0 0 8 0 0 8 0 0 8 0] [0 8 0 0 8 0 0 8 0 0 8 0 0 8 0] [0 8 0 8 8 0 0 8 0 8 8 0 0 8 8] [0 8 0 8 2 2 0 8 0 8 2 2 2 2 8] [0 8 0 8 0 0 0 8 0 8 0 0 0 0 8] [0 8 0 8 0 0 0 8 0 8 0 0 0 0 8] [0 8 0 8 0 0 0 8 0 8 0 0 0 0 8] [0 8 0 8 0 0 0 8 0 8 0 0 0 0 8] [0 8 0 8 0 0 0 8 0 8 0 0 0 0 8]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[2 0 0 0 0 3 0 0 0 0 4 0 0 0 0 8 0 0 0 0] [0 1 1 0 0 0 1 1 0 0 0 1 1 0 0 0 1 0 0 0] [0 1 0 0 0 0 0 1 0 0 0 1 1 0 0 0 1 1 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 5 5 0 5 5 0 5 5 0 5 5 0 0 0 0 0] [0 0 0 0 5 2 0 5 5 0 5 5 0 5 4 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 5 5 0 5 5 0 5 5 0 5 5 0 0 0 0 0] [0 0 0 0 5 3 0 5 2 0 5 3 0 5 5 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 5 5 0 5 5 0 5 5 0 5 5 0 0 0 0 0] [0 0 0 0 5 3 0 5 5 0 5 5 0 5 8 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[2 2 0 0 0 0 0 0 0 4 4] [2 0 0 0 0 0 0 0 0 4 4] [0 0 0 0 0 0 0 0 0 0 0] [3 3 0 2 2 0 3 3 0 0 0] [0 3 0 2 0 0 0 3 0 0 0] [0 0 0 0 0 0 0 0 0 0 0] [3 3 0 0 0 0 0 0 0 8 0] [0 3 0 0 0 0 0 0 0 8 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 3 0 0 0 7 0 0 0 0 0 0 0] [0 0 0 1 1 0 0 1 1 0 0 1 1 0 0 0 0 0] [0 0 0 1 1 0 0 0 1 0 0 1 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 5 5 0 5 5 0 5 5 0 5 5 0 5 5 0 0] [0 0 5 3 0 5 3 0 5 7 0 5 5 0 5 2 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 5 5 0 5 5 0 5 5 0 5 5 0 5 5 0 0] [0 0 5 2 0 5 5 0 5 5 0 5 5 0 5 5 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 5 5 0 5 5 0 5 5 0 5 5 0 5 5 0 0] [0 0 5 2 0 5 2 0 5 3 0 5 3 0 5 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]] -> [[3 3 0 3 3 0 7 7 0 0 0 0 2 2] [0 3 0 0 3 0 7 0 0 0 0 0 2 2] [0 0 0 0 0 0 0 0 0 0 0 0 0 0] [2 2 0 0 0 0 0 0 0 0 0 0 0 0] [2 2 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0] [2 2 0 2 2 0 3 3 0 3 3 0 7 7] [2 2 0 2 2 0 0 3 0 0 3 0 7 0]]# There is a <image> shows all the examples before. Here is your test case: [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 3 0 0 0 2 0 0 0 8 0 0 0 4 0 0 0 0] [0 0 1 1 0 0 1 1 0 0 1 1 0 0 0 1 0 0] [0 0 0 1 0 0 1 0 0 0 1 1 0 0 1 1 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 5 5 0 5 5 0 5 5 0 5 5 0 0 0 0 0 0] [0 5 2 0 5 2 0 5 2 0 5 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 5 5 0 5 5 0 5 5 0 5 5 0 0 0 0 0 0] [0 5 5 0 5 3 0 5 3 0 5 5 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 5 5 0 5 5 0 5 5 0 5 5 0 0 0 0 0 0] [0 5 4 0 5 3 0 5 5 0 5 5 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 5 5 0 5 5 0 5 5 0 5 5 0 0 0 0 0 0] [0 5 4 0 5 5 0 5 5 0 5 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]] ->
[[2 2 0 2 2 0 2 2 0 8 8] [2 0 0 2 0 0 2 0 0 8 8] [0 0 0 0 0 0 0 0 0 0 0] [0 0 0 3 3 0 3 3 0 0 0] [0 0 0 0 3 0 0 3 0 0 0] [0 0 0 0 0 0 0 0 0 0 0] [0 4 0 3 3 0 0 0 0 0 0] [4 4 0 0 3 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 8 8] [4 4 0 0 0 0 0 0 0 8 8]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[0 4 0 0 0 0] [0 0 0 0 0 0] [0 4 0 0 0 0] [0 0 0 0 4 0] [0 0 0 0 0 0] [0 0 0 0 4 0]] -> [[0 4 0 0 0 0 0 0 0 0 0 0] [3 3 3 3 3 3 3 3 3 3 3 3] [0 4 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 4 0 0 0 0 0 0 0] [3 3 3 3 3 3 3 3 3 3 3 3] [0 0 0 0 4 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 4 0 0 0 0] [3 3 3 3 3 3 3 3 3 3 3 3] [0 0 0 0 0 0 0 4 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 4 0] [3 3 3 3 3 3 3 3 3 3 3 3] [0 0 0 0 0 0 0 0 0 0 4 0]]# [[0 8 0] [0 0 0] [0 8 0]] -> [[0 8 0 0 0 0] [3 3 3 3 3 3] [0 8 0 0 0 0] [0 0 0 0 8 0] [3 3 3 3 3 3] [0 0 0 0 8 0]]# [[0 0 7 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 7 0 0 0 0 0 0 0 0 0 0 0] [3 3 3 3 3 3 3 3 3 3 3 3 3 3] [0 0 7 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 7 0 0 0 0] [3 3 3 3 3 3 3 3 3 3 3 3 3 3] [0 0 0 0 0 0 0 0 0 7 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0]]# There is a <image> shows all the examples before. Here is your test case: [[9 0 0 0] [0 0 0 0] [9 0 0 0] [0 0 0 0]] ->
[[9 0 0 0 0 0 0 0] [3 3 3 3 3 3 3 3] [9 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0] [0 0 0 0 9 0 0 0] [3 3 3 3 3 3 3 3] [0 0 0 0 9 0 0 0] [0 0 0 0 0 0 0 0]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4] [1 1 4 3 2 1 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5] [1 1 4 2 3 5 7 2 4 6 0 0 0 0 0 0 6 1 3 5 7 2 4 6 1 3 5 7] [1 1 4 1 5 7 2 4 6 1 0 0 0 0 0 0 1 3 5 7 2 4 6 1 3 5 7 2] [1 1 4 5 7 2 4 6 1 3 0 0 0 0 0 0 3 5 7 2 4 6 1 3 5 7 2 4] [1 1 4 7 2 4 6 1 3 5 0 0 0 0 0 0 5 7 2 4 6 1 3 5 7 2 4 6] [1 1 4 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1] [1 1 4 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 0 0 0 0 0 2 4 6 1 3] [1 1 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 0 0 0 0 0 4 6 1 3 5] [1 1 4 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 0 0 0 0 0 6 1 3 5 7] [1 1 4 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 0 0 0 0 0 1 3 5 7 2] [1 1 4 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 0 0 0 0 0 3 5 7 2 4] [1 1 4 7 0 0 0 1 3 5 7 2 4 6 1 3 5 7 0 0 0 0 0 5 7 2 4 6] [1 1 4 2 0 0 0 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1] [1 1 4 4 0 0 0 0 0 0 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3] [1 1 4 6 0 0 0 0 0 0 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5] [1 1 4 1 0 0 0 0 0 0 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7] [1 1 4 3 0 0 0 0 0 0 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2] [1 1 4 5 0 0 0 0 0 0 0 0 0 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4] [1 1 4 7 2 4 6 0 0 0 0 0 0 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6] [1 1 4 2 4 6 1 0 0 0 0 0 0 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1] [1 1 4 4 6 1 3 0 0 0 0 0 0 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3] [1 1 4 6 1 3 5 0 0 0 0 0 0 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5] [1 1 4 1 3 5 7 0 0 0 0 0 0 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7] [1 1 4 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2] [1 1 4 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4]] -> [[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4] [1 1 4 3 2 1 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5] [1 1 4 2 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7] [1 1 4 1 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2] [1 1 4 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4] [1 1 4 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6] [1 1 4 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1] [1 1 4 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3] [1 1 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5] [1 1 4 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7] [1 1 4 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2] [1 1 4 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4] [1 1 4 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6] [1 1 4 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1] [1 1 4 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3] [1 1 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5] [1 1 4 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7] [1 1 4 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2] [1 1 4 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4] [1 1 4 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6] [1 1 4 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1] [1 1 4 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3] [1 1 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5] [1 1 4 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7] [1 1 4 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2] [1 1 4 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4 6 1 3 5 7 2 4]]# [[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1] [1 1 4 4 4 4 4 4 4 4 4 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4] [1 1 4 3 2 1 3 5 7 0 0 0 0 0 0 0 0 0 3 5 7 1 3 5 7 1 3 5] [1 1 4 2 1 3 5 7 1 0 0 0 0 0 0 0 0 0 5 7 1 3 5 7 1 3 5 7] [1 1 4 1 3 5 7 1 3 0 0 0 0 0 0 0 0 0 7 1 3 5 7 1 3 5 7 1] [1 1 4 3 5 7 1 3 5 0 0 0 0 0 0 3 0 0 1 3 5 7 1 3 5 7 1 3] [1 1 4 5 7 1 3 5 7 0 0 0 0 0 0 5 7 1 3 5 7 1 3 5 7 1 3 5] [1 1 4 7 1 3 5 7 1 0 0 0 0 0 5 7 1 3 5 7 1 3 5 7 1 3 5 7] [1 1 4 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1] [1 1 4 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3] [1 1 4 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5] [1 1 4 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7] [1 1 4 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1] [1 1 4 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3] [1 1 4 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5] [1 1 4 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7] [1 1 4 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1] [1 1 4 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3] [1 1 4 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5] [1 1 4 7 1 3 0 0 0 0 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7] [1 1 4 1 3 5 0 0 0 0 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1] [1 1 4 3 5 7 0 0 0 0 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3] [1 1 4 5 7 1 0 0 0 0 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5] [1 1 4 7 1 3 0 0 0 0 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7] [1 1 4 1 3 5 0 0 0 0 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1] [1 1 4 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3] [1 1 4 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5]] -> [[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4] [1 1 4 3 2 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5] [1 1 4 2 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7] [1 1 4 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1] [1 1 4 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3] [1 1 4 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5] [1 1 4 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7] [1 1 4 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1] [1 1 4 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3] [1 1 4 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5] [1 1 4 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7] [1 1 4 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1] [1 1 4 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3] [1 1 4 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5] [1 1 4 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7] [1 1 4 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1] [1 1 4 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3] [1 1 4 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5] [1 1 4 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7] [1 1 4 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1] [1 1 4 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3] [1 1 4 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5] [1 1 4 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7] [1 1 4 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1] [1 1 4 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3] [1 1 4 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5 7 1 3 5]]# [[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4] [1 1 4 3 2 1 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7] [1 1 4 2 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9] [1 1 4 1 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2] [1 1 4 1 3 5 7 9 2 0 0 0 0 0 0 0 0 0 0 0 8 1 3 5 7 9 2 4] [1 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 9 2 4 6] [1 0 0 0 0 0 0 0 6 0 0 0 0 0 0 0 0 0 0 0 3 5 7 9 2 4 6 8] [1 0 0 0 0 0 0 0 8 1 3 5 7 9 0 0 0 0 0 0 5 7 9 2 4 6 8 1] [1 0 0 0 0 0 0 0 1 3 5 7 9 2 4 6 0 0 0 0 7 9 2 4 6 8 1 3] [1 0 0 0 0 0 0 0 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5] [1 1 4 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7] [1 1 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9] [1 1 4 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2] [1 1 4 1 3 5 7 0 0 0 0 0 0 0 5 7 9 2 4 6 8 1 3 5 7 9 2 4] [1 1 4 3 5 7 9 0 0 0 0 0 0 0 7 9 2 4 6 8 1 3 5 7 9 2 4 6] [1 1 4 5 7 9 2 0 0 0 0 0 0 0 9 2 4 6 8 1 3 5 7 9 2 4 6 8] [1 1 4 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1] [1 1 4 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3] [1 1 4 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5] [1 1 4 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7] [1 1 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9] [1 1 4 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2] [1 1 4 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4] [1 1 4 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6] [1 1 4 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8] [1 1 4 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1]] -> [[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4] [1 1 4 3 2 1 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7] [1 1 4 2 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9] [1 1 4 1 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2] [1 1 4 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4] [1 1 4 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6] [1 1 4 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8] [1 1 4 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1] [1 1 4 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3] [1 1 4 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5] [1 1 4 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7] [1 1 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9] [1 1 4 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2] [1 1 4 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4] [1 1 4 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6] [1 1 4 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8] [1 1 4 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1] [1 1 4 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3] [1 1 4 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5] [1 1 4 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7] [1 1 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9] [1 1 4 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2] [1 1 4 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4] [1 1 4 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6] [1 1 4 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8] [1 1 4 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1 3 5 7 9 2 4 6 8 1]]# There is a <image> shows all the examples before. Here is your test case: [[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1] [1 1 4 4 4 4 4 4 4 4 4 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4] [1 1 4 3 2 1 9 1 3 5 7 0 0 0 0 0 0 0 3 5 7 9 1 3 5 7 9 1] [1 1 4 2 7 9 1 3 5 7 9 0 0 0 0 0 0 0 5 7 9 1 3 5 7 9 1 3] [1 1 4 1 9 1 3 5 7 9 1 0 0 0 0 0 0 0 7 9 1 3 5 7 9 1 3 5] [1 1 4 9 1 3 5 7 9 1 3 5 7 0 0 0 0 7 9 1 3 5 7 9 1 3 5 7] [1 1 4 1 3 5 7 9 1 3 5 7 9 0 0 0 0 9 1 3 5 7 9 1 3 5 7 9] [1 1 4 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1] [1 0 0 0 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3] [1 0 0 0 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5] [0 0 0 0 0 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7] [0 0 0 0 0 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9] [0 0 0 0 0 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1] [0 0 0 0 0 9 1 3 5 0 0 0 0 0 0 0 1 3 5 7 9 1 3 5 7 9 1 3] [0 0 0 0 0 1 3 5 7 0 0 0 0 0 0 0 3 5 7 9 1 3 5 7 9 1 3 5] [0 0 0 0 0 3 5 7 9 0 0 0 0 0 0 0 5 7 9 1 3 5 7 9 1 3 5 7] [0 0 0 0 0 5 7 9 1 0 0 0 0 0 0 0 7 9 1 3 5 7 9 1 3 5 7 9] [1 1 4 3 5 7 9 1 3 0 0 0 0 0 0 0 9 1 3 5 7 9 1 3 5 7 9 1] [1 1 4 5 7 9 1 3 5 0 0 0 0 0 0 0 1 3 5 7 9 1 3 5 7 9 1 3] [1 1 4 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5] [1 1 4 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7] [1 1 4 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9] [1 1 4 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1] [1 1 4 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3] [1 1 4 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5] [1 1 4 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7] [1 1 4 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9]] ->
[[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 1 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4] [1 1 4 3 2 1 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1] [1 1 4 2 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3] [1 1 4 1 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5] [1 1 4 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7] [1 1 4 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9] [1 1 4 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1] [1 1 4 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3] [1 1 4 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5] [1 1 4 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7] [1 1 4 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9] [1 1 4 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1] [1 1 4 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3] [1 1 4 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5] [1 1 4 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7] [1 1 4 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9] [1 1 4 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1] [1 1 4 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3] [1 1 4 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5] [1 1 4 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7] [1 1 4 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9] [1 1 4 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1] [1 1 4 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3] [1 1 4 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5] [1 1 4 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7] [1 1 4 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9 1 3 5 7 9]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[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 7 7 0 0 0 0 0 0 0 0 0 0 0 0 0] [1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 1 0 0 0 0 7 7 0 0 0 0 0 0] [1 0 1 0 0 0 0 0 7 0 0 0 0 0 0 0] [0 1 1 1 0 0 0 1 0 1 1 0 0 0 0 0] [0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0] [0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 7 7 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 1 0 1 1 0 0 0 0 0 0 0 0 0] [0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0] [0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] -> [[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [3 3 3 3 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] [3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 3 3 3 0 0 0 6 0 6 6 0 0 0 0 0] [0 0 0 0 0 0 0 6 6 6 6 0 0 0 0 0] [0 0 0 0 0 0 0 6 0 0 6 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 4 0 4 4 0 0 0 0 0 0 0 0 0] [0 0 0 0 4 4 4 0 0 0 0 0 0 0 0 0] [0 0 0 4 0 0 4 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [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 7 7 0 0 0] [1 0 1 1 0 0] [0 1 1 1 0 0] [1 1 0 0 0 0] [0 0 0 0 0 0] [0 0 0 0 0 0]] -> [[0 0 0 0 0 0] [0 0 0 0 0 0] [0 0 0 0 0 0] [3 0 3 3 0 0] [0 3 3 3 0 0] [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 7 7 0 0 0] [0 0 0 0 0 0 7 0 0 0 0] [0 7 7 0 0 1 1 1 0 0 0] [0 0 7 0 0 0 1 1 1 0 0] [1 0 1 0 0 0 1 0 1 0 0] [0 1 1 1 0 0 0 0 0 0 0] [0 1 0 1 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0]] -> [[0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 6 6 6 0 0 0] [0 0 0 0 0 0 6 6 6 0 0] [4 0 4 0 0 0 6 0 6 0 0] [0 4 4 4 0 0 0 0 0 0 0] [0 4 0 4 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0]]# [[0 0 0 0 0 0 0 0 0 0 0 0] [0 7 0 0 0 0 0 0 0 0 0 0] [0 7 7 0 0 0 0 0 0 0 0 0] [1 0 1 1 0 0 0 7 0 0 0 0] [0 1 0 0 0 0 7 7 0 0 0 0] [1 1 1 0 0 1 1 0 1 0 0 0] [0 0 0 0 0 0 1 1 1 0 0 0] [0 0 0 0 0 0 1 0 1 0 0 0]] -> [[0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [8 0 8 8 0 0 0 0 0 0 0 0] [0 8 0 0 0 0 0 0 0 0 0 0] [8 8 8 0 0 3 3 0 3 0 0 0] [0 0 0 0 0 0 3 3 3 0 0 0] [0 0 0 0 0 0 3 0 3 0 0 0]]# There is a <image> shows all the examples before. Here is your test case: [[0 0 0 0 0 0 0 0 0 0 0 0] [0 7 7 0 0 0 0 0 0 0 0 0] [0 7 0 0 0 0 0 0 7 0 0 0] [1 1 1 0 0 0 0 7 7 0 0 0] [0 1 1 0 0 0 1 1 1 1 0 0] [1 0 0 0 0 0 0 1 0 1 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 7 7 0 0 0 0 0 0] [0 0 0 0 0 7 0 0 0 0 0 0] [0 0 0 1 1 0 1 0 0 7 0 0] [0 0 0 1 0 1 0 0 0 7 7 0] [0 0 0 0 1 1 0 0 1 1 0 1] [0 0 0 0 0 0 0 0 0 1 1 1] [0 0 0 0 0 0 0 0 1 1 0 0]] ->
[[0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 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 0 0] [0 6 6 0 0 0 3 3 3 3 0 0] [6 0 0 0 0 0 0 3 0 3 0 0] [0 0 0 0 0 0 0 0 3 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 4 4 0 4 0 0 0 0 0] [0 0 0 4 0 4 0 0 0 0 0 0] [0 0 0 0 4 4 0 0 8 8 0 8] [0 0 0 0 0 0 0 0 0 8 8 8] [0 0 0 0 0 0 0 0 8 8 0 0]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[0 2 0 0 1 1 0 5 0 0 0 0 0 0 0 0] [2 2 2 0 1 0 0 5 0 0 3 3 3 0 0 0] [0 0 0 0 0 0 0 5 0 0 0 3 0 0 0 0] [5 5 5 5 5 5 5 5 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0] [0 0 3 0 0 0 0 3 3 0 0 0 0 0 0 0] [0 3 3 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 0 0 0 0] [0 0 0 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 3 0 0 0 0 0 0 3 3 3 0 0 0] [0 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 3 0 0 0 0 0 0 3 0 0] [0 0 0 0 0 0 3 3 0 0 0 0 3 3 0 0] [0 0 0 0 0 0 3 0 0 0 0 0 0 0 0 0]] -> [[0 2 0 0 1 1 0 5 0 0 0 0 0 0 0 0] [2 2 2 0 1 0 0 5 0 0 2 2 2 0 0 0] [0 0 0 0 0 0 0 5 0 0 0 2 0 0 0 0] [5 5 5 5 5 5 5 5 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0] [0 0 2 0 0 0 0 1 1 0 0 0 0 0 0 0] [0 2 2 0 0 0 0 0 1 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 2 0 0 0 0] [0 0 0 1 0 0 0 0 0 0 2 2 2 0 0 0] [0 0 1 1 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 1 0 0] [0 0 0 0 0 0 2 2 0 0 0 0 1 1 0 0] [0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0]]# [[0 2 0 4 4 0 1 1 1 0 5 0 0 3 0 0] [0 2 0 4 0 0 0 1 0 0 5 0 0 3 3 0] [0 0 0 0 0 0 0 0 0 0 5 0 0 3 0 0] [5 5 5 5 5 5 5 5 5 5 5 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 3 0 0 0 3 0 0 0 0 0 3 3 3 0 0] [0 3 3 0 0 3 0 0 0 0 0 0 3 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 3 0 0 0 0 0 0 0] [0 3 3 0 0 0 0 0 0 0 0 0 3 3 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0] [0 3 3 3 0 0 0 3 0 0 0 0 0 0 0 0] [0 0 3 0 0 0 3 3 0 0 3 3 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 3 0 0 0 3 0] [0 0 0 3 3 0 0 0 0 0 0 0 0 3 3 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0]] -> [[0 2 0 4 4 0 1 1 1 0 5 0 0 1 0 0] [0 2 0 4 0 0 0 1 0 0 5 0 0 1 1 0] [0 0 0 0 0 0 0 0 0 0 5 0 0 1 0 0] [5 5 5 5 5 5 5 5 5 5 5 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 4 0 0 0 2 0 0 0 0 0 1 1 1 0 0] [0 4 4 0 0 2 0 0 0 0 0 0 1 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 2 0 0 0 0 0 0 0] [0 2 2 0 0 0 0 0 0 0 0 0 4 4 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0] [0 1 1 1 0 0 0 4 0 0 0 0 0 0 0 0] [0 0 1 0 0 0 4 4 0 0 4 4 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 4 0 0 0 1 0] [0 0 0 2 2 0 0 0 0 0 0 0 0 1 1 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0]]# [[2 2 0 0 7 0 0 5 0 0] [2 0 0 7 7 7 0 5 0 0] [2 2 0 0 7 0 0 5 0 0] [5 5 5 5 5 5 5 5 0 0] [0 0 3 0 0 0 0 0 0 0] [0 3 3 3 0 3 0 3 0 0] [0 0 3 0 0 3 3 3 0 0] [0 0 0 0 0 0 0 0 0 0] [0 0 0 3 3 3 0 0 0 0] [0 0 0 3 0 3 0 0 0 0]] -> [[2 2 0 0 7 0 0 5 0 0] [2 0 0 7 7 7 0 5 0 0] [2 2 0 0 7 0 0 5 0 0] [5 5 5 5 5 5 5 5 0 0] [0 0 7 0 0 0 0 0 0 0] [0 7 7 7 0 2 0 2 0 0] [0 0 7 0 0 2 2 2 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 0 2 0 0 0 0]]# There is a <image> shows all the examples before. Here is your test case: [[0 2 0 1 0 0 4 4 0 0 0 5 0 0 0 0 0] [2 2 0 1 1 0 4 0 0 8 8 5 0 0 3 0 0] [0 0 0 1 0 0 4 4 0 0 0 5 0 0 3 0 0] [5 5 5 5 5 5 5 5 5 5 5 5 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3] [0 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0] [3 3 0 3 3 3 0 0 0 0 0 0 0 0 0 0 0] [3 0 0 0 0 0 0 0 3 3 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 3 0 0 0 3 0 0 0] [0 0 0 0 0 0 0 0 3 3 0 0 0 3 3 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 0] [0 0 3 3 3 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 3 0 3 0 0 0 0 0 0 0 0 0 0 3 0] [0 0 0 0 0 0 0 0 0 3 3 3 0 0 0 3 0] [0 0 0 0 0 0 0 0 0 0 3 0 0 0 0 0 0] [0 0 0 0 3 3 0 0 0 0 0 0 0 0 3 0 0] [3 3 0 0 0 0 0 0 0 0 0 0 0 3 3 0 0] [0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]] ->
[[0 2 0 1 0 0 4 4 0 0 0 5 0 0 0 0 0] [2 2 0 1 1 0 4 0 0 8 8 5 0 0 8 0 0] [0 0 0 1 0 0 4 4 0 0 0 5 0 0 8 0 0] [5 5 5 5 5 5 5 5 5 5 5 5 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8] [0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0] [2 2 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0] [2 0 0 0 0 0 0 0 4 4 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 0 0 4 0 0 0 1 0 0 0] [0 0 0 0 0 0 0 0 4 4 0 0 0 1 1 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0] [0 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 4 0 4 0 0 0 0 0 0 0 0 0 0 8 0] [0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 8 0] [0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0] [0 0 0 0 8 8 0 0 0 0 0 0 0 0 2 0 0] [2 2 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0] [0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[8 8 8 0 3 5 5 5 0 3 9 9 9 0 3 4 4 4 4] [8 0 8 0 3 5 5 5 5 3 9 9 0 9 3 0 0 0 0] [0 0 0 8 3 5 5 0 0 3 0 0 0 0 3 0 4 4 0] [0 8 0 0 3 0 5 5 5 3 9 0 0 0 3 4 4 4 4]] -> [[9 9 9 4] [9 9 8 9] [5 4 4 8] [9 4 4 4]]# [[0 0 8 8 3 5 5 0 0 3 0 9 9 9 3 4 0 4 0] [8 8 8 8 3 0 5 0 5 3 0 9 0 9 3 4 0 4 0] [8 8 0 8 3 5 0 5 5 3 0 0 0 9 3 0 4 0 4] [0 8 8 0 3 0 0 0 5 3 9 0 0 9 3 0 0 0 0]] -> [[4 9 9 9] [4 9 4 9] [8 4 5 9] [9 8 8 9]]# [[8 8 0 0 3 5 5 5 0 3 9 0 9 9 3 4 4 0 4] [8 8 0 8 3 5 5 5 5 3 0 9 0 0 3 0 0 4 4] [8 0 0 0 3 0 5 0 5 3 9 0 0 9 3 4 0 0 4] [8 0 8 8 3 5 0 5 0 3 0 0 0 0 3 0 0 4 0]] -> [[9 4 9 9] [8 9 4 4] [9 5 0 9] [8 0 4 8]]# [[0 0 8 8 3 5 0 0 5 3 9 0 0 9 3 4 0 0 4] [0 8 8 0 3 5 5 0 5 3 9 9 0 9 3 0 0 4 4] [8 8 8 0 3 0 5 5 0 3 9 9 0 0 3 4 0 0 0] [8 8 0 0 3 0 0 0 0 3 0 0 0 0 3 4 4 4 0]] -> [[9 0 8 9] [9 9 4 9] [9 9 8 0] [4 4 4 0]]# [[0 8 0 0 3 0 0 0 0 3 0 0 0 9 3 4 0 4 0] [0 8 0 0 3 5 5 0 0 3 0 9 9 0 3 4 0 0 4] [8 8 8 0 3 5 0 0 5 3 9 9 9 0 3 4 0 4 0] [0 0 0 0 3 5 5 5 5 3 0 0 9 0 3 0 0 0 0]] -> [[4 8 4 9] [4 9 9 4] [9 9 9 5] [5 5 9 5]]# [[0 8 8 0 3 5 5 5 5 3 9 9 0 9 3 4 0 0 4] [8 0 8 0 3 0 5 0 5 3 0 0 0 9 3 4 0 4 4] [8 8 0 8 3 0 0 0 0 3 9 9 0 9 3 0 4 0 4] [8 8 0 8 3 5 5 0 0 3 9 9 0 0 3 0 0 0 0]] -> [[9 9 8 9] [4 5 4 9] [9 9 0 9] [9 9 0 8]]# There is a <image> shows all the examples before. Here is your test case: [[8 8 8 0 3 5 0 5 5 3 9 0 0 0 3 0 0 0 0] [8 0 8 8 3 5 5 5 5 3 0 0 9 9 3 4 4 0 4] [8 0 0 8 3 5 0 5 5 3 0 0 0 9 3 0 4 0 4] [0 0 8 8 3 0 0 5 5 3 9 9 9 0 3 0 4 4 0]] ->
[[9 8 8 5] [4 4 9 9] [8 4 5 9] [9 9 9 8]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[1 1 0 1 1] [1 0 0 0 1] [0 0 0 0 0] [0 1 0 2 2] [1 1 0 2 2]] -> [[1 0] [1 1]]# [[1 0 0 1 1] [1 1 0 1 0] [0 0 0 0 0] [1 1 0 2 2] [0 1 0 2 2]] -> [[0 1] [1 1]]# [[1 1 0 0 1] [0 0 0 0 1] [0 0 0 0 0] [0 0 0 2 2] [1 1 0 2 2]] -> [[1 0] [1 0]]# There is a <image> shows all the examples before. Here is your test case: [[1 1 0 0 1] [0 1 0 1 1] [0 0 0 0 0] [1 0 0 2 2] [1 1 0 2 2]] ->
[[1 1] [1 0]]
Figure out the underlying transformation in the following examples and apply it to the test case. Here are some examples from this transformation, your answer must follow the format. Output the final answer in <answer> </answer> tags. i.e., <answer>[[9 4 8] [8 9 9]]</answer> The input-output grids are provided as python arrays: [[7 5 7] [5 5 7] [7 7 5]] -> [[7 5 7 7 5 7 7 5 7 7 5 7] [7 5 5 5 5 7 7 5 5 5 5 7] [5 7 7 7 7 5 5 7 7 7 7 5]]# [[7 7 8] [5 8 8] [5 8 8]] -> [[8 7 7 7 7 8 8 7 7 7 7 8] [8 8 5 5 8 8 8 8 5 5 8 8] [8 8 5 5 8 8 8 8 5 5 8 8]]# [[8 8 8] [5 5 7] [5 7 8]] -> [[8 8 8 8 8 8 8 8 8 8 8 8] [7 5 5 5 5 7 7 5 5 5 5 7] [8 7 5 5 7 8 8 7 5 5 7 8]]# [[8 8 7] [7 5 5] [5 7 8]] -> [[7 8 8 8 8 7 7 8 8 8 8 7] [5 5 7 7 5 5 5 5 7 7 5 5] [8 7 5 5 7 8 8 7 5 5 7 8]]# There is a <image> shows all the examples before. Here is your test case: [[8 5 7] [5 7 5] [8 8 5]] ->
[[7 5 8 8 5 7 7 5 8 8 5 7] [5 7 5 5 7 5 5 7 5 5 7 5] [5 8 8 8 8 5 5 8 8 8 8 5]]
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