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arc-marc-multimodal-rl

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train · 16k rows

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problem stringlengths 558 16.8k	images images listlengths 1 1	answer stringlengths 5 1.98k
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 0 1 0 1 1 1 0] [0 1 1 1 1 1 1 1 0 1 0 1 1 1] [1 0 1 1 1 1 1 1 1 0 1 0 1 1] [0 1 0 1 1 1 1 1 1 1 0 1 0 1] [1 0 1 0 1 1 1 1 1 1 1 0 1 0] [1 1 0 1 0 1 1 1 1 1 1 1 0 1] [1 1 1 0 1 0 1 1 1 1 1 1 1 0] [1 1 1 1 0 1 0 1 1 1 1 1 1 1] [1 1 1 1 1 0 1 0 1 1 1 1 1 1] [1 1 1 1 1 1 0 1 0 1 1 1 1 1] [0 1 1 1 1 1 1 0 1 0 1 1 1 1] [1 0 1 1 1 1 1 1 0 1 0 1 1 1] [1 1 0 1 1 1 1 1 1 0 1 0 1 1] [1 1 1 0 1 1 1 1 1 1 0 1 0 1] [1 1 1 1 0 1 1 1 1 1 1 0 1 0] [0 1 1 1 1 0 1 1 1 1 1 1 0 1] [1 0 1 1 1 1 0 1 1 1 1 1 1 0] [1 1 0 1 1 1 1 0 1 1 1 1 1 1] [0 1 1 0 1 1 1 1 0 1 1 1 1 1] [1 0 1 1 0 1 1 1 1 0 1 1 1 1] [1 1 0 1 1 0 1 1 1 1 0 1 1 1] [0 1 1 0 1 1 0 1 1 1 1 0 1 1] [1 0 1 1 0 1 1 0 1 1 1 1 0 1] [1 1 0 1 1 0 1 1 0 1 1 1 1 0] [1 1 1 0 1 1 0 1 1 0 1 1 1 1]] -> [[1 1 1 1 1 1 1 0 1 0 1 1 1 0] [0 1 1 1 1 1 1 1 4 1 4 1 1 1] [1 4 1 1 1 1 1 1 1 0 1 0 1 1] [0 1 0 1 1 1 1 1 1 1 4 1 4 1] [1 4 1 4 1 1 1 1 1 1 1 0 1 0] [1 1 0 1 0 1 1 1 1 1 1 1 4 1] [1 1 1 4 1 4 1 1 1 1 1 1 1 0] [1 1 1 1 0 1 0 1 1 1 1 1 1 1] [1 1 1 1 1 4 1 4 1 1 1 1 1 1] [1 1 1 1 1 1 0 1 0 1 1 1 1 1] [0 1 1 1 1 1 1 4 1 4 1 1 1 1] [1 4 1 1 1 1 1 1 0 1 0 1 1 1] [1 1 0 1 1 1 1 1 1 4 1 4 1 1] [1 1 1 4 1 1 1 1 1 1 0 1 0 1] [1 1 1 1 0 1 1 1 1 1 1 4 1 4] [0 1 1 1 1 4 1 1 1 1 1 1 0 1] [1 4 1 1 1 1 0 1 1 1 1 1 1 4] [1 1 0 1 1 1 1 4 1 1 1 1 1 1] [0 1 1 4 1 1 1 1 0 1 1 1 1 1] [1 4 1 1 0 1 1 1 1 4 1 1 1 1] [1 1 0 1 1 4 1 1 1 1 0 1 1 1] [0 1 1 4 1 1 0 1 1 1 1 4 1 1] [1 4 1 1 0 1 1 4 1 1 1 1 0 1] [1 1 0 1 1 4 1 1 0 1 1 1 1 4] [1 1 1 4 1 1 0 1 1 4 1 1 1 1]]# [[2 2 2 5 2 2 5 2 5 2 2 5 2 2 5 2] [2 2 2 2 5 2 2 5 2 5 2 2 5 2 2 5] [2 2 2 2 2 5 2 2 5 2 5 2 2 5 2 2] [2 2 2 2 2 2 5 2 2 5 2 5 2 2 5 2] [2 2 2 2 2 2 2 5 2 2 5 2 5 2 2 5] [5 2 2 2 2 2 2 2 5 2 2 5 2 5 2 2] [2 5 2 2 2 2 2 2 2 5 2 2 5 2 5 2] [2 2 5 2 2 2 2 2 2 2 5 2 2 5 2 5] [5 2 2 5 2 2 2 2 2 2 2 5 2 2 5 2] [2 5 2 2 5 2 2 2 2 2 2 2 5 2 2 5] [2 2 5 2 2 5 2 2 2 2 2 2 2 5 2 2] [5 2 2 5 2 2 5 2 2 2 2 2 2 2 5 2] [2 5 2 2 5 2 2 5 2 2 2 2 2 2 2 5] [2 2 5 2 2 5 2 2 5 2 2 2 2 2 2 2] [2 2 2 5 2 2 5 2 2 5 2 2 2 2 2 2] [5 2 2 2 5 2 2 5 2 2 5 2 2 2 2 2] [2 5 2 2 2 5 2 2 5 2 2 5 2 2 2 2] [2 2 5 2 2 2 5 2 2 5 2 2 5 2 2 2] [2 2 2 5 2 2 2 5 2 2 5 2 2 5 2 2] [2 2 2 2 5 2 2 2 5 2 2 5 2 2 5 2] [2 2 2 2 2 5 2 2 2 5 2 2 5 2 2 5] [2 2 2 2 2 2 5 2 2 2 5 2 2 5 2 2] [2 2 2 2 2 2 2 5 2 2 2 5 2 2 5 2] [2 2 2 2 2 2 2 2 5 2 2 2 5 2 2 5] [2 2 2 2 2 2 2 2 2 5 2 2 2 5 2 2] [2 2 2 2 2 2 2 2 2 2 5 2 2 2 5 2]] -> [[2 2 2 5 2 2 5 2 5 2 2 5 2 2 5 2] [2 2 2 2 4 2 2 4 2 4 2 2 4 2 2 4] [2 2 2 2 2 5 2 2 5 2 5 2 2 5 2 2] [2 2 2 2 2 2 4 2 2 4 2 4 2 2 4 2] [2 2 2 2 2 2 2 5 2 2 5 2 5 2 2 5] [5 2 2 2 2 2 2 2 4 2 2 4 2 4 2 2] [2 4 2 2 2 2 2 2 2 5 2 2 5 2 5 2] [2 2 5 2 2 2 2 2 2 2 4 2 2 4 2 4] [5 2 2 4 2 2 2 2 2 2 2 5 2 2 5 2] [2 4 2 2 5 2 2 2 2 2 2 2 4 2 2 4] [2 2 5 2 2 4 2 2 2 2 2 2 2 5 2 2] [5 2 2 4 2 2 5 2 2 2 2 2 2 2 4 2] [2 4 2 2 5 2 2 4 2 2 2 2 2 2 2 5] [2 2 5 2 2 4 2 2 5 2 2 2 2 2 2 2] [2 2 2 4 2 2 5 2 2 4 2 2 2 2 2 2] [5 2 2 2 5 2 2 4 2 2 5 2 2 2 2 2] [2 4 2 2 2 4 2 2 5 2 2 4 2 2 2 2] [2 2 5 2 2 2 5 2 2 4 2 2 5 2 2 2] [2 2 2 4 2 2 2 4 2 2 5 2 2 4 2 2] [2 2 2 2 5 2 2 2 5 2 2 4 2 2 5 2] [2 2 2 2 2 4 2 2 2 4 2 2 5 2 2 4] [2 2 2 2 2 2 5 2 2 2 5 2 2 4 2 2] [2 2 2 2 2 2 2 4 2 2 2 4 2 2 5 2] [2 2 2 2 2 2 2 2 5 2 2 2 5 2 2 4] [2 2 2 2 2 2 2 2 2 4 2 2 2 4 2 2] [2 2 2 2 2 2 2 2 2 2 5 2 2 2 5 2]]# [[1 0 0 1 0 1] [0 1 0 0 1 0] [0 0 1 0 0 1] [0 0 0 1 0 0] [0 0 0 0 1 0] [1 0 0 0 0 1] [0 1 0 0 0 0] [0 0 1 0 0 0] [0 0 0 1 0 0] [1 0 0 0 1 0] [0 1 0 0 0 1] [0 0 1 0 0 0] [0 0 0 1 0 0] [0 0 0 0 1 0] [0 0 0 0 0 1] [0 0 0 0 0 0] [1 0 0 0 0 0] [0 1 0 0 0 0] [0 0 1 0 0 0] [0 0 0 1 0 0] [1 0 0 0 1 0] [0 1 0 0 0 1] [0 0 1 0 0 0] [0 0 0 1 0 0] [0 0 0 0 1 0] [1 0 0 0 0 1] [0 1 0 0 0 0] [0 0 1 0 0 0] [1 0 0 1 0 0]] -> [[1 0 0 1 0 1] [0 4 0 0 4 0] [0 0 1 0 0 1] [0 0 0 4 0 0] [0 0 0 0 1 0] [1 0 0 0 0 4] [0 4 0 0 0 0] [0 0 1 0 0 0] [0 0 0 4 0 0] [1 0 0 0 1 0] [0 4 0 0 0 4] [0 0 1 0 0 0] [0 0 0 4 0 0] [0 0 0 0 1 0] [0 0 0 0 0 4] [0 0 0 0 0 0] [1 0 0 0 0 0] [0 4 0 0 0 0] [0 0 1 0 0 0] [0 0 0 4 0 0] [1 0 0 0 1 0] [0 4 0 0 0 4] [0 0 1 0 0 0] [0 0 0 4 0 0] [0 0 0 0 1 0] [1 0 0 0 0 4] [0 4 0 0 0 0] [0 0 1 0 0 0] [1 0 0 4 0 0]]# [[8 8 8 0 8 8 8 8] [8 8 8 8 0 8 8 8] [0 8 8 8 8 0 8 8] [8 0 8 8 8 8 0 8]] -> [[8 8 8 0 8 8 8 8] [8 8 8 8 4 8 8 8] [0 8 8 8 8 0 8 8] [8 4 8 8 8 8 4 8]]# [[6 5 6 6 5 6 6 6 6 5 6 6] [5 6 5 6 6 5 6 6 6 6 5 6] [6 5 6 5 6 6 5 6 6 6 6 5] [5 6 5 6 5 6 6 5 6 6 6 6] [6 5 6 5 6 5 6 6 5 6 6 6] [6 6 5 6 5 6 5 6 6 5 6 6] [6 6 6 5 6 5 6 5 6 6 5 6] [6 6 6 6 5 6 5 6 5 6 6 5] [6 6 6 6 6 5 6 5 6 5 6 6] [6 6 6 6 6 6 5 6 5 6 5 6] [6 6 6 6 6 6 6 5 6 5 6 5] [6 6 6 6 6 6 6 6 5 6 5 6] [6 6 6 6 6 6 6 6 6 5 6 5] [6 6 6 6 6 6 6 6 6 6 5 6] [6 6 6 6 6 6 6 6 6 6 6 5] [5 6 6 6 6 6 6 6 6 6 6 6] [6 5 6 6 6 6 6 6 6 6 6 6] [5 6 5 6 6 6 6 6 6 6 6 6] [6 5 6 5 6 6 6 6 6 6 6 6] [6 6 5 6 5 6 6 6 6 6 6 6] [6 6 6 5 6 5 6 6 6 6 6 6] [5 6 6 6 5 6 5 6 6 6 6 6] [6 5 6 6 6 5 6 5 6 6 6 6] [5 6 5 6 6 6 5 6 5 6 6 6] [6 5 6 5 6 6 6 5 6 5 6 6] [5 6 5 6 5 6 6 6 5 6 5 6] [6 5 6 5 6 5 6 6 6 5 6 5] [6 6 5 6 5 6 5 6 6 6 5 6] [6 6 6 5 6 5 6 5 6 6 6 5]] -> [[6 5 6 6 5 6 6 6 6 5 6 6] [5 6 4 6 6 4 6 6 6 6 4 6] [6 4 6 5 6 6 5 6 6 6 6 5] [5 6 5 6 4 6 6 4 6 6 6 6] [6 4 6 4 6 5 6 6 5 6 6 6] [6 6 5 6 5 6 4 6 6 4 6 6] [6 6 6 4 6 4 6 5 6 6 5 6] [6 6 6 6 5 6 5 6 4 6 6 4] [6 6 6 6 6 4 6 4 6 5 6 6] [6 6 6 6 6 6 5 6 5 6 4 6] [6 6 6 6 6 6 6 4 6 4 6 5] [6 6 6 6 6 6 6 6 5 6 5 6] [6 6 6 6 6 6 6 6 6 4 6 4] [6 6 6 6 6 6 6 6 6 6 5 6] [6 6 6 6 6 6 6 6 6 6 6 4] [5 6 6 6 6 6 6 6 6 6 6 6] [6 4 6 6 6 6 6 6 6 6 6 6] [5 6 5 6 6 6 6 6 6 6 6 6] [6 4 6 4 6 6 6 6 6 6 6 6] [6 6 5 6 5 6 6 6 6 6 6 6] [6 6 6 4 6 4 6 6 6 6 6 6] [5 6 6 6 5 6 5 6 6 6 6 6] [6 4 6 6 6 4 6 4 6 6 6 6] [5 6 5 6 6 6 5 6 5 6 6 6] [6 4 6 4 6 6 6 4 6 4 6 6] [5 6 5 6 5 6 6 6 5 6 5 6] [6 4 6 4 6 4 6 6 6 4 6 4] [6 6 5 6 5 6 5 6 6 6 5 6] [6 6 6 4 6 4 6 4 6 6 6 4]]# There is a <image> shows all the examples before. Here is your test case: [[8 5 5 8 5 5 8 5 5 5 8 5 5 5 5 8 5 5 5 8] [5 8 5 5 8 5 5 8 5 5 5 8 5 5 5 5 8 5 5 5] [8 5 8 5 5 8 5 5 8 5 5 5 8 5 5 5 5 8 5 5] [5 8 5 8 5 5 8 5 5 8 5 5 5 8 5 5 5 5 8 5] [8 5 8 5 8 5 5 8 5 5 8 5 5 5 8 5 5 5 5 8] [5 8 5 8 5 8 5 5 8 5 5 8 5 5 5 8 5 5 5 5] [5 5 8 5 8 5 8 5 5 8 5 5 8 5 5 5 8 5 5 5] [5 5 5 8 5 8 5 8 5 5 8 5 5 8 5 5 5 8 5 5] [5 5 5 5 8 5 8 5 8 5 5 8 5 5 8 5 5 5 8 5]] ->		[[8 5 5 8 5 5 8 5 5 5 8 5 5 5 5 8 5 5 5 8] [5 4 5 5 4 5 5 4 5 5 5 4 5 5 5 5 4 5 5 5] [8 5 8 5 5 8 5 5 8 5 5 5 8 5 5 5 5 8 5 5] [5 4 5 4 5 5 4 5 5 4 5 5 5 4 5 5 5 5 4 5] [8 5 8 5 8 5 5 8 5 5 8 5 5 5 8 5 5 5 5 8] [5 4 5 4 5 4 5 5 4 5 5 4 5 5 5 4 5 5 5 5] [5 5 8 5 8 5 8 5 5 8 5 5 8 5 5 5 8 5 5 5] [5 5 5 4 5 4 5 4 5 5 4 5 5 4 5 5 5 4 5 5] [5 5 5 5 8 5 8 5 8 5 5 8 5 5 8 5 5 5 8 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: [[7 6 7 7 7 7 6 7 7 7 6 7 7 7 7 7 7 7 7 6 7 7 7 6 7 7] [7 7 6 7 7 7 7 6 7 7 7 6 7 7 7 7 7 7 7 7 6 7 7 7 6 7] [6 7 7 6 7 7 7 7 6 7 7 7 6 7 7 7 7 7 7 7 7 6 7 7 7 6] [7 6 7 7 6 7 7 7 7 6 7 7 7 6 7 7 7 7 7 7 7 7 6 7 7 7] [7 7 6 7 7 6 7 7 7 7 6 7 7 7 6 7 7 7 7 7 7 7 7 6 7 7] [6 7 7 6 7 7 6 7 7 7 7 6 7 7 7 6 7 7 7 7 7 7 7 7 6 7] [7 6 7 7 6 7 7 6 7 7 7 7 6 7 7 7 6 7 7 7 7 7 7 7 7 6] [7 7 6 7 7 6 7 7 6 7 7 7 7 6 7 7 7 6 7 7 7 7 7 7 7 7] [7 7 7 6 7 7 6 7 7 6 7 7 7 7 6 7 7 7 6 7 7 7 7 7 7 7] [7 7 7 7 6 7 7 6 7 7 6 7 7 7 7 6 7 7 7 6 7 7 7 7 7 7] [7 7 7 7 7 6 7 7 6 7 7 6 7 7 7 7 6 7 7 7 6 7 7 7 7 7] [7 7 7 7 7 7 6 7 7 6 7 7 6 7 7 7 7 6 7 7 7 6 7 7 7 7] [7 7 7 7 7 7 7 6 7 7 6 7 7 6 7 7 7 7 6 7 7 7 6 7 7 7] [7 7 7 7 7 7 7 7 6 7 7 6 7 7 6 7 7 7 7 6 7 7 7 6 7 7] [7 7 7 7 7 7 7 7 7 6 7 7 6 7 7 6 7 7 7 7 6 7 7 7 6 7] [7 7 7 7 7 7 7 7 7 7 6 7 7 6 7 7 6 7 7 7 7 6 7 7 7 6] [6 7 7 7 7 7 7 7 7 7 7 6 7 7 6 7 7 6 7 7 7 7 6 7 7 7] [7 6 7 7 7 7 7 7 7 7 7 7 6 7 7 6 7 7 6 7 7 7 7 6 7 7] [7 7 6 7 7 7 7 7 7 7 7 7 7 6 7 7 6 7 7 6 7 7 7 7 6 7] [7 7 7 6 7 7 7 7 7 7 7 7 7 7 6 7 7 6 7 7 6 7 7 7 7 6] [7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 6 7 7 6 7 7 6 7 7 7 7] [7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 6 7 7 6 7 7 6 7 7 7] [7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 6 7 7 6 7 7 6 7 7]] -> [[7 6 7 7 7 7 6 7 7 7 6 7 7 7 7 7 7 7 7 6 7 7 7 6 7 7] [7 7 4 7 7 7 7 4 7 7 7 4 7 7 7 7 7 7 7 7 4 7 7 7 4 7] [6 7 7 6 7 7 7 7 6 7 7 7 6 7 7 7 7 7 7 7 7 6 7 7 7 6] [7 4 7 7 4 7 7 7 7 4 7 7 7 4 7 7 7 7 7 7 7 7 4 7 7 7] [7 7 6 7 7 6 7 7 7 7 6 7 7 7 6 7 7 7 7 7 7 7 7 6 7 7] [6 7 7 4 7 7 4 7 7 7 7 4 7 7 7 4 7 7 7 7 7 7 7 7 4 7] [7 4 7 7 6 7 7 6 7 7 7 7 6 7 7 7 6 7 7 7 7 7 7 7 7 6] [7 7 6 7 7 4 7 7 4 7 7 7 7 4 7 7 7 4 7 7 7 7 7 7 7 7] [7 7 7 4 7 7 6 7 7 6 7 7 7 7 6 7 7 7 6 7 7 7 7 7 7 7] [7 7 7 7 6 7 7 4 7 7 4 7 7 7 7 4 7 7 7 4 7 7 7 7 7 7] [7 7 7 7 7 4 7 7 6 7 7 6 7 7 7 7 6 7 7 7 6 7 7 7 7 7] [7 7 7 7 7 7 6 7 7 4 7 7 4 7 7 7 7 4 7 7 7 4 7 7 7 7] [7 7 7 7 7 7 7 4 7 7 6 7 7 6 7 7 7 7 6 7 7 7 6 7 7 7] [7 7 7 7 7 7 7 7 6 7 7 4 7 7 4 7 7 7 7 4 7 7 7 4 7 7] [7 7 7 7 7 7 7 7 7 4 7 7 6 7 7 6 7 7 7 7 6 7 7 7 6 7] [7 7 7 7 7 7 7 7 7 7 6 7 7 4 7 7 4 7 7 7 7 4 7 7 7 4] [6 7 7 7 7 7 7 7 7 7 7 4 7 7 6 7 7 6 7 7 7 7 6 7 7 7] [7 4 7 7 7 7 7 7 7 7 7 7 6 7 7 4 7 7 4 7 7 7 7 4 7 7] [7 7 6 7 7 7 7 7 7 7 7 7 7 4 7 7 6 7 7 6 7 7 7 7 6 7] [7 7 7 4 7 7 7 7 7 7 7 7 7 7 6 7 7 4 7 7 4 7 7 7 7 4] [7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 4 7 7 6 7 7 6 7 7 7 7] [7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 6 7 7 4 7 7 4 7 7 7] [7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 4 7 7 6 7 7 6 7 7]]# [[2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9 2 2 9 2 2 2 2 2] [2 2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9 2 2 9 2 2 2 2] [2 2 2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9 2 2 9 2 2 2] [9 2 2 2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9 2 2 9 2 2] [2 9 2 2 2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9 2 2 9 2] [2 2 9 2 2 2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9 2 2 9] [2 2 2 9 2 2 2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9 2 2] [2 2 2 2 9 2 2 2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9 2] [9 2 2 2 2 9 2 2 2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9]] -> [[2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9 2 2 9 2 2 2 2 2] [2 2 2 2 2 2 2 4 2 2 2 2 4 2 2 2 2 4 2 4 2 2 4 2 2 2 2] [2 2 2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9 2 2 9 2 2 2] [9 2 2 2 2 2 2 2 2 4 2 2 2 2 4 2 2 2 2 4 2 4 2 2 4 2 2] [2 4 2 2 2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9 2 2 9 2] [2 2 9 2 2 2 2 2 2 2 2 4 2 2 2 2 4 2 2 2 2 4 2 4 2 2 4] [2 2 2 4 2 2 2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9 2 2] [2 2 2 2 9 2 2 2 2 2 2 2 2 4 2 2 2 2 4 2 2 2 2 4 2 4 2] [9 2 2 2 2 4 2 2 2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9]]# [[2 2 2 9 2 2 2 9 2 2 2 2 9 2] [9 2 2 2 9 2 2 2 9 2 2 2 2 9] [2 9 2 2 2 9 2 2 2 9 2 2 2 2] [2 2 9 2 2 2 9 2 2 2 9 2 2 2] [2 2 2 9 2 2 2 9 2 2 2 9 2 2] [2 2 2 2 9 2 2 2 9 2 2 2 9 2] [2 2 2 2 2 9 2 2 2 9 2 2 2 9] [9 2 2 2 2 2 9 2 2 2 9 2 2 2] [2 9 2 2 2 2 2 9 2 2 2 9 2 2]] -> [[2 2 2 9 2 2 2 9 2 2 2 2 9 2] [9 2 2 2 4 2 2 2 4 2 2 2 2 4] [2 4 2 2 2 9 2 2 2 9 2 2 2 2] [2 2 9 2 2 2 4 2 2 2 4 2 2 2] [2 2 2 4 2 2 2 9 2 2 2 9 2 2] [2 2 2 2 9 2 2 2 4 2 2 2 4 2] [2 2 2 2 2 4 2 2 2 9 2 2 2 9] [9 2 2 2 2 2 9 2 2 2 4 2 2 2] [2 4 2 2 2 2 2 4 2 2 2 9 2 2]]# There is a <image> shows all the examples before. Here is your test case: [[8 3 8 8 8] [8 8 3 8 8] [8 8 8 3 8] [8 8 8 8 3] [3 8 8 8 8] [8 3 8 8 8] [8 8 3 8 8] [8 8 8 3 8] [8 8 8 8 3] [3 8 8 8 8] [8 3 8 8 8] [3 8 3 8 8] [8 3 8 3 8] [8 8 3 8 3] [3 8 8 3 8] [8 3 8 8 3] [8 8 3 8 8] [3 8 8 3 8] [8 3 8 8 3] [8 8 3 8 8] [8 8 8 3 8] [8 8 8 8 3]] ->		[[8 3 8 8 8] [8 8 4 8 8] [8 8 8 3 8] [8 8 8 8 4] [3 8 8 8 8] [8 4 8 8 8] [8 8 3 8 8] [8 8 8 4 8] [8 8 8 8 3] [3 8 8 8 8] [8 4 8 8 8] [3 8 3 8 8] [8 4 8 4 8] [8 8 3 8 3] [3 8 8 4 8] [8 4 8 8 3] [8 8 3 8 8] [3 8 8 4 8] [8 4 8 8 3] [8 8 3 8 8] [8 8 8 4 8] [8 8 8 8 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: [[8 7 8 7 7 7 7 7 7 8 7 7 7 7 7 7 8 7 8 7 7 8 7 7 8 7 7 7 8 7] [7 8 7 8 7 7 7 7 7 7 8 7 7 7 7 7 7 8 7 8 7 7 8 7 7 8 7 7 7 8] [8 7 8 7 8 7 7 7 7 7 7 8 7 7 7 7 7 7 8 7 8 7 7 8 7 7 8 7 7 7] [7 8 7 8 7 8 7 7 7 7 7 7 8 7 7 7 7 7 7 8 7 8 7 7 8 7 7 8 7 7] [7 7 8 7 8 7 8 7 7 7 7 7 7 8 7 7 7 7 7 7 8 7 8 7 7 8 7 7 8 7] [7 7 7 8 7 8 7 8 7 7 7 7 7 7 8 7 7 7 7 7 7 8 7 8 7 7 8 7 7 8] [8 7 7 7 8 7 8 7 8 7 7 7 7 7 7 8 7 7 7 7 7 7 8 7 8 7 7 8 7 7] [7 8 7 7 7 8 7 8 7 8 7 7 7 7 7 7 8 7 7 7 7 7 7 8 7 8 7 7 8 7] [7 7 8 7 7 7 8 7 8 7 8 7 7 7 7 7 7 8 7 7 7 7 7 7 8 7 8 7 7 8] [7 7 7 8 7 7 7 8 7 8 7 8 7 7 7 7 7 7 8 7 7 7 7 7 7 8 7 8 7 7] [7 7 7 7 8 7 7 7 8 7 8 7 8 7 7 7 7 7 7 8 7 7 7 7 7 7 8 7 8 7] [8 7 7 7 7 8 7 7 7 8 7 8 7 8 7 7 7 7 7 7 8 7 7 7 7 7 7 8 7 8] [7 8 7 7 7 7 8 7 7 7 8 7 8 7 8 7 7 7 7 7 7 8 7 7 7 7 7 7 8 7] [7 7 8 7 7 7 7 8 7 7 7 8 7 8 7 8 7 7 7 7 7 7 8 7 7 7 7 7 7 8]] -> [[8 7 8 7 7 7 7 7 7 8 7 7 7 7 7 7 8 7 8 7 7 8 7 7 8 7 7 7 8 7] [7 4 7 4 7 7 7 7 7 7 4 7 7 7 7 7 7 4 7 4 7 7 4 7 7 4 7 7 7 4] [8 7 8 7 8 7 7 7 7 7 7 8 7 7 7 7 7 7 8 7 8 7 7 8 7 7 8 7 7 7] [7 4 7 4 7 4 7 7 7 7 7 7 4 7 7 7 7 7 7 4 7 4 7 7 4 7 7 4 7 7] [7 7 8 7 8 7 8 7 7 7 7 7 7 8 7 7 7 7 7 7 8 7 8 7 7 8 7 7 8 7] [7 7 7 4 7 4 7 4 7 7 7 7 7 7 4 7 7 7 7 7 7 4 7 4 7 7 4 7 7 4] [8 7 7 7 8 7 8 7 8 7 7 7 7 7 7 8 7 7 7 7 7 7 8 7 8 7 7 8 7 7] [7 4 7 7 7 4 7 4 7 4 7 7 7 7 7 7 4 7 7 7 7 7 7 4 7 4 7 7 4 7] [7 7 8 7 7 7 8 7 8 7 8 7 7 7 7 7 7 8 7 7 7 7 7 7 8 7 8 7 7 8] [7 7 7 4 7 7 7 4 7 4 7 4 7 7 7 7 7 7 4 7 7 7 7 7 7 4 7 4 7 7] [7 7 7 7 8 7 7 7 8 7 8 7 8 7 7 7 7 7 7 8 7 7 7 7 7 7 8 7 8 7] [8 7 7 7 7 4 7 7 7 4 7 4 7 4 7 7 7 7 7 7 4 7 7 7 7 7 7 4 7 4] [7 4 7 7 7 7 8 7 7 7 8 7 8 7 8 7 7 7 7 7 7 8 7 7 7 7 7 7 8 7] [7 7 8 7 7 7 7 4 7 7 7 4 7 4 7 4 7 7 7 7 7 7 4 7 7 7 7 7 7 4]]# [[1 1 8 1 1 1 1 1 8 1 1] [1 1 1 8 1 1 1 1 1 8 1] [1 1 1 1 8 1 1 1 1 1 8] [1 1 1 1 1 8 1 1 1 1 1] [1 1 1 1 1 1 8 1 1 1 1] [1 1 1 1 1 1 1 8 1 1 1] [1 1 1 1 1 1 1 1 8 1 1] [1 1 1 1 1 1 1 1 1 8 1] [8 1 1 1 1 1 1 1 1 1 8] [1 8 1 1 1 1 1 1 1 1 1] [1 1 8 1 1 1 1 1 1 1 1] [1 1 1 8 1 1 1 1 1 1 1] [1 1 1 1 8 1 1 1 1 1 1] [1 1 1 1 1 8 1 1 1 1 1]] -> [[1 1 8 1 1 1 1 1 8 1 1] [1 1 1 4 1 1 1 1 1 4 1] [1 1 1 1 8 1 1 1 1 1 8] [1 1 1 1 1 4 1 1 1 1 1] [1 1 1 1 1 1 8 1 1 1 1] [1 1 1 1 1 1 1 4 1 1 1] [1 1 1 1 1 1 1 1 8 1 1] [1 1 1 1 1 1 1 1 1 4 1] [8 1 1 1 1 1 1 1 1 1 8] [1 4 1 1 1 1 1 1 1 1 1] [1 1 8 1 1 1 1 1 1 1 1] [1 1 1 4 1 1 1 1 1 1 1] [1 1 1 1 8 1 1 1 1 1 1] [1 1 1 1 1 4 1 1 1 1 1]]# [[2 2 2 2 2 6] [2 2 2 2 2 2] [2 2 2 2 2 2] [2 2 2 2 2 2] [2 2 2 2 2 2] [2 2 2 2 2 2] [2 2 2 2 2 2] [2 2 2 2 2 2] [2 2 2 2 2 2] [2 2 2 2 2 2] [2 2 2 2 2 2] [6 2 2 2 2 2] [2 6 2 2 2 2] [6 2 6 2 2 2] [2 6 2 6 2 2] [2 2 6 2 6 2] [6 2 2 6 2 6] [2 6 2 2 6 2] [6 2 6 2 2 6] [2 6 2 6 2 2] [2 2 6 2 6 2] [6 2 2 6 2 6] [2 6 2 2 6 2] [2 2 6 2 2 6] [2 2 2 6 2 2] [2 2 2 2 6 2] [2 2 2 2 2 6]] -> [[2 2 2 2 2 6] [2 2 2 2 2 2] [2 2 2 2 2 2] [2 2 2 2 2 2] [2 2 2 2 2 2] [2 2 2 2 2 2] [2 2 2 2 2 2] [2 2 2 2 2 2] [2 2 2 2 2 2] [2 2 2 2 2 2] [2 2 2 2 2 2] [6 2 2 2 2 2] [2 4 2 2 2 2] [6 2 6 2 2 2] [2 4 2 4 2 2] [2 2 6 2 6 2] [6 2 2 4 2 4] [2 4 2 2 6 2] [6 2 6 2 2 4] [2 4 2 4 2 2] [2 2 6 2 6 2] [6 2 2 4 2 4] [2 4 2 2 6 2] [2 2 6 2 2 4] [2 2 2 4 2 2] [2 2 2 2 6 2] [2 2 2 2 2 4]]# [[0 9 9 9 0 9 0 9 9] [9 0 9 9 9 0 9 0 9] [0 9 0 9 9 9 0 9 0] [9 0 9 0 9 9 9 0 9] [9 9 0 9 0 9 9 9 0] [9 9 9 0 9 0 9 9 9] [9 9 9 9 0 9 0 9 9] [9 9 9 9 9 0 9 0 9] [9 9 9 9 9 9 0 9 0]] -> [[0 9 9 9 0 9 0 9 9] [9 4 9 9 9 4 9 4 9] [0 9 0 9 9 9 0 9 0] [9 4 9 4 9 9 9 4 9] [9 9 0 9 0 9 9 9 0] [9 9 9 4 9 4 9 9 9] [9 9 9 9 0 9 0 9 9] [9 9 9 9 9 4 9 4 9] [9 9 9 9 9 9 0 9 0]]# [[1 1 8 1 1 1 1 1 1 1 1 1 8 1 1 1 1 8 1 1 1 1 1 1] [1 1 1 8 1 1 1 1 1 1 1 1 1 8 1 1 1 1 8 1 1 1 1 1] [1 1 1 1 8 1 1 1 1 1 1 1 1 1 8 1 1 1 1 8 1 1 1 1] [1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 8 1 1 1 1 8 1 1 1] [1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 8 1 1 1 1 8 1 1] [1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 8 1 1 1 1 8 1] [1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 8 1 1 1 1 8] [1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 8 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 8 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 8 1 1] [8 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 8 1] [1 8 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 8]] -> [[1 1 8 1 1 1 1 1 1 1 1 1 8 1 1 1 1 8 1 1 1 1 1 1] [1 1 1 4 1 1 1 1 1 1 1 1 1 4 1 1 1 1 4 1 1 1 1 1] [1 1 1 1 8 1 1 1 1 1 1 1 1 1 8 1 1 1 1 8 1 1 1 1] [1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 4 1 1 1 1 4 1 1 1] [1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 8 1 1 1 1 8 1 1] [1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 4 1 1 1 1 4 1] [1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 8 1 1 1 1 8] [1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 4 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 8 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 4 1 1] [8 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 8 1] [1 4 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 4]]# There is a <image> shows all the examples before. Here is your test case: [[3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3] [5 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3] [3 5 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3] [3 3 5 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3] [3 3 3 5 3 3 3 3 3 3 3 3 3 3 5 3 3 3] [3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 5 3 3] [3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 5 3] [3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 5]] ->		[[3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3] [5 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3] [3 4 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3] [3 3 5 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3] [3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 3 3 3] [3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 5 3 3] [3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 3] [3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3 3 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: [[2 2 2 2 2 2 2 7 2 7 2 2 7 2 2 2 2 2] [2 2 2 2 2 2 2 2 7 2 7 2 2 7 2 2 2 2] [2 2 2 2 2 2 2 2 2 7 2 7 2 2 7 2 2 2] [7 2 2 2 2 2 2 2 2 2 7 2 7 2 2 7 2 2] [2 7 2 2 2 2 2 2 2 2 2 7 2 7 2 2 7 2] [7 2 7 2 2 2 2 2 2 2 2 2 7 2 7 2 2 7] [2 7 2 7 2 2 2 2 2 2 2 2 2 7 2 7 2 2] [2 2 7 2 7 2 2 2 2 2 2 2 2 2 7 2 7 2] [2 2 2 7 2 7 2 2 2 2 2 2 2 2 2 7 2 7] [2 2 2 2 7 2 7 2 2 2 2 2 2 2 2 2 7 2] [2 2 2 2 2 7 2 7 2 2 2 2 2 2 2 2 2 7] [7 2 2 2 2 2 7 2 7 2 2 2 2 2 2 2 2 2] [2 7 2 2 2 2 2 7 2 7 2 2 2 2 2 2 2 2] [2 2 7 2 2 2 2 2 7 2 7 2 2 2 2 2 2 2] [2 2 2 7 2 2 2 2 2 7 2 7 2 2 2 2 2 2] [2 2 2 2 7 2 2 2 2 2 7 2 7 2 2 2 2 2] [2 2 2 2 2 7 2 2 2 2 2 7 2 7 2 2 2 2] [2 2 2 2 2 2 7 2 2 2 2 2 7 2 7 2 2 2] [2 2 2 2 2 2 2 7 2 2 2 2 2 7 2 7 2 2] [2 2 2 2 2 2 2 2 7 2 2 2 2 2 7 2 7 2] [7 2 2 2 2 2 2 2 2 7 2 2 2 2 2 7 2 7] [2 7 2 2 2 2 2 2 2 2 7 2 2 2 2 2 7 2] [2 2 7 2 2 2 2 2 2 2 2 7 2 2 2 2 2 7] [7 2 2 7 2 2 2 2 2 2 2 2 7 2 2 2 2 2] [2 7 2 2 7 2 2 2 2 2 2 2 2 7 2 2 2 2]] -> [[2 2 2 2 2 2 2 7 2 7 2 2 7 2 2 2 2 2] [2 2 2 2 2 2 2 2 4 2 4 2 2 4 2 2 2 2] [2 2 2 2 2 2 2 2 2 7 2 7 2 2 7 2 2 2] [7 2 2 2 2 2 2 2 2 2 4 2 4 2 2 4 2 2] [2 4 2 2 2 2 2 2 2 2 2 7 2 7 2 2 7 2] [7 2 7 2 2 2 2 2 2 2 2 2 4 2 4 2 2 4] [2 4 2 4 2 2 2 2 2 2 2 2 2 7 2 7 2 2] [2 2 7 2 7 2 2 2 2 2 2 2 2 2 4 2 4 2] [2 2 2 4 2 4 2 2 2 2 2 2 2 2 2 7 2 7] [2 2 2 2 7 2 7 2 2 2 2 2 2 2 2 2 4 2] [2 2 2 2 2 4 2 4 2 2 2 2 2 2 2 2 2 7] [7 2 2 2 2 2 7 2 7 2 2 2 2 2 2 2 2 2] [2 4 2 2 2 2 2 4 2 4 2 2 2 2 2 2 2 2] [2 2 7 2 2 2 2 2 7 2 7 2 2 2 2 2 2 2] [2 2 2 4 2 2 2 2 2 4 2 4 2 2 2 2 2 2] [2 2 2 2 7 2 2 2 2 2 7 2 7 2 2 2 2 2] [2 2 2 2 2 4 2 2 2 2 2 4 2 4 2 2 2 2] [2 2 2 2 2 2 7 2 2 2 2 2 7 2 7 2 2 2] [2 2 2 2 2 2 2 4 2 2 2 2 2 4 2 4 2 2] [2 2 2 2 2 2 2 2 7 2 2 2 2 2 7 2 7 2] [7 2 2 2 2 2 2 2 2 4 2 2 2 2 2 4 2 4] [2 4 2 2 2 2 2 2 2 2 7 2 2 2 2 2 7 2] [2 2 7 2 2 2 2 2 2 2 2 4 2 2 2 2 2 4] [7 2 2 4 2 2 2 2 2 2 2 2 7 2 2 2 2 2] [2 4 2 2 7 2 2 2 2 2 2 2 2 4 2 2 2 2]]# [[3 6 3 3 3 3 3 6 3 3 3 3 6 3 6] [3 3 6 3 3 3 3 3 6 3 3 3 3 6 3] [3 3 3 6 3 3 3 3 3 6 3 3 3 3 6] [6 3 3 3 6 3 3 3 3 3 6 3 3 3 3] [3 6 3 3 3 6 3 3 3 3 3 6 3 3 3] [6 3 6 3 3 3 6 3 3 3 3 3 6 3 3] [3 6 3 6 3 3 3 6 3 3 3 3 3 6 3] [3 3 6 3 6 3 3 3 6 3 3 3 3 3 6]] -> [[3 6 3 3 3 3 3 6 3 3 3 3 6 3 6] [3 3 4 3 3 3 3 3 4 3 3 3 3 4 3] [3 3 3 6 3 3 3 3 3 6 3 3 3 3 6] [6 3 3 3 4 3 3 3 3 3 4 3 3 3 3] [3 4 3 3 3 6 3 3 3 3 3 6 3 3 3] [6 3 6 3 3 3 4 3 3 3 3 3 4 3 3] [3 4 3 4 3 3 3 6 3 3 3 3 3 6 3] [3 3 6 3 6 3 3 3 4 3 3 3 3 3 4]]# There is a <image> shows all the examples before. Here is your test case: [[5 9 5 5 9 5 9 5 5 9] [5 5 9 5 5 9 5 9 5 5] [5 5 5 9 5 5 9 5 9 5] [5 5 5 5 9 5 5 9 5 9] [9 5 5 5 5 9 5 5 9 5] [5 9 5 5 5 5 9 5 5 9] [5 5 9 5 5 5 5 9 5 5] [5 5 5 9 5 5 5 5 9 5] [9 5 5 5 9 5 5 5 5 9]] ->		[[5 9 5 5 9 5 9 5 5 9] [5 5 4 5 5 4 5 4 5 5] [5 5 5 9 5 5 9 5 9 5] [5 5 5 5 4 5 5 4 5 4] [9 5 5 5 5 9 5 5 9 5] [5 4 5 5 5 5 4 5 5 4] [5 5 9 5 5 5 5 9 5 5] [5 5 5 4 5 5 5 5 4 5] [9 5 5 5 9 5 5 5 5 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: [[3 7 3 3 3 7 3 3 7 3 7 3 3 3 3 7 3 3 3 3 3 7 3 3] [7 3 7 3 3 3 7 3 3 7 3 7 3 3 3 3 7 3 3 3 3 3 7 3] [3 7 3 7 3 3 3 7 3 3 7 3 7 3 3 3 3 7 3 3 3 3 3 7] [3 3 7 3 7 3 3 3 7 3 3 7 3 7 3 3 3 3 7 3 3 3 3 3] [7 3 3 7 3 7 3 3 3 7 3 3 7 3 7 3 3 3 3 7 3 3 3 3] [3 7 3 3 7 3 7 3 3 3 7 3 3 7 3 7 3 3 3 3 7 3 3 3] [7 3 7 3 3 7 3 7 3 3 3 7 3 3 7 3 7 3 3 3 3 7 3 3] [3 7 3 7 3 3 7 3 7 3 3 3 7 3 3 7 3 7 3 3 3 3 7 3] [3 3 7 3 7 3 3 7 3 7 3 3 3 7 3 3 7 3 7 3 3 3 3 7] [7 3 3 7 3 7 3 3 7 3 7 3 3 3 7 3 3 7 3 7 3 3 3 3] [3 7 3 3 7 3 7 3 3 7 3 7 3 3 3 7 3 3 7 3 7 3 3 3] [7 3 7 3 3 7 3 7 3 3 7 3 7 3 3 3 7 3 3 7 3 7 3 3] [3 7 3 7 3 3 7 3 7 3 3 7 3 7 3 3 3 7 3 3 7 3 7 3] [3 3 7 3 7 3 3 7 3 7 3 3 7 3 7 3 3 3 7 3 3 7 3 7] [3 3 3 7 3 7 3 3 7 3 7 3 3 7 3 7 3 3 3 7 3 3 7 3]] -> [[3 7 3 3 3 7 3 3 7 3 7 3 3 3 3 7 3 3 3 3 3 7 3 3] [7 3 4 3 3 3 4 3 3 4 3 4 3 3 3 3 4 3 3 3 3 3 4 3] [3 4 3 7 3 3 3 7 3 3 7 3 7 3 3 3 3 7 3 3 3 3 3 7] [3 3 7 3 4 3 3 3 4 3 3 4 3 4 3 3 3 3 4 3 3 3 3 3] [7 3 3 4 3 7 3 3 3 7 3 3 7 3 7 3 3 3 3 7 3 3 3 3] [3 4 3 3 7 3 4 3 3 3 4 3 3 4 3 4 3 3 3 3 4 3 3 3] [7 3 7 3 3 4 3 7 3 3 3 7 3 3 7 3 7 3 3 3 3 7 3 3] [3 4 3 4 3 3 7 3 4 3 3 3 4 3 3 4 3 4 3 3 3 3 4 3] [3 3 7 3 7 3 3 4 3 7 3 3 3 7 3 3 7 3 7 3 3 3 3 7] [7 3 3 4 3 4 3 3 7 3 4 3 3 3 4 3 3 4 3 4 3 3 3 3] [3 4 3 3 7 3 7 3 3 4 3 7 3 3 3 7 3 3 7 3 7 3 3 3] [7 3 7 3 3 4 3 4 3 3 7 3 4 3 3 3 4 3 3 4 3 4 3 3] [3 4 3 4 3 3 7 3 7 3 3 4 3 7 3 3 3 7 3 3 7 3 7 3] [3 3 7 3 7 3 3 4 3 4 3 3 7 3 4 3 3 3 4 3 3 4 3 4] [3 3 3 4 3 4 3 3 7 3 7 3 3 4 3 7 3 3 3 7 3 3 7 3]]# [[2 8 2 2 8 2 2 8 2 2 2 8 2 2 2 2 8 2 2 2 8 2 2 2 8 2 2] [2 2 8 2 2 8 2 2 8 2 2 2 8 2 2 2 2 8 2 2 2 8 2 2 2 8 2] [2 2 2 8 2 2 8 2 2 8 2 2 2 8 2 2 2 2 8 2 2 2 8 2 2 2 8] [2 2 2 2 8 2 2 8 2 2 8 2 2 2 8 2 2 2 2 8 2 2 2 8 2 2 2] [8 2 2 2 2 8 2 2 8 2 2 8 2 2 2 8 2 2 2 2 8 2 2 2 8 2 2] [2 8 2 2 2 2 8 2 2 8 2 2 8 2 2 2 8 2 2 2 2 8 2 2 2 8 2] [2 2 8 2 2 2 2 8 2 2 8 2 2 8 2 2 2 8 2 2 2 2 8 2 2 2 8] [2 2 2 8 2 2 2 2 8 2 2 8 2 2 8 2 2 2 8 2 2 2 2 8 2 2 2] [2 2 2 2 8 2 2 2 2 8 2 2 8 2 2 8 2 2 2 8 2 2 2 2 8 2 2] [2 2 2 2 2 8 2 2 2 2 8 2 2 8 2 2 8 2 2 2 8 2 2 2 2 8 2] [2 2 2 2 2 2 8 2 2 2 2 8 2 2 8 2 2 8 2 2 2 8 2 2 2 2 8] [8 2 2 2 2 2 2 8 2 2 2 2 8 2 2 8 2 2 8 2 2 2 8 2 2 2 2] [2 8 2 2 2 2 2 2 8 2 2 2 2 8 2 2 8 2 2 8 2 2 2 8 2 2 2] [2 2 8 2 2 2 2 2 2 8 2 2 2 2 8 2 2 8 2 2 8 2 2 2 8 2 2] [2 2 2 8 2 2 2 2 2 2 8 2 2 2 2 8 2 2 8 2 2 8 2 2 2 8 2] [2 2 2 2 8 2 2 2 2 2 2 8 2 2 2 2 8 2 2 8 2 2 8 2 2 2 8] [8 2 2 2 2 8 2 2 2 2 2 2 8 2 2 2 2 8 2 2 8 2 2 8 2 2 2] [2 8 2 2 2 2 8 2 2 2 2 2 2 8 2 2 2 2 8 2 2 8 2 2 8 2 2] [8 2 8 2 2 2 2 8 2 2 2 2 2 2 8 2 2 2 2 8 2 2 8 2 2 8 2] [2 8 2 8 2 2 2 2 8 2 2 2 2 2 2 8 2 2 2 2 8 2 2 8 2 2 8] [2 2 8 2 8 2 2 2 2 8 2 2 2 2 2 2 8 2 2 2 2 8 2 2 8 2 2] [2 2 2 8 2 8 2 2 2 2 8 2 2 2 2 2 2 8 2 2 2 2 8 2 2 8 2] [2 2 2 2 8 2 8 2 2 2 2 8 2 2 2 2 2 2 8 2 2 2 2 8 2 2 8] [2 2 2 2 2 8 2 8 2 2 2 2 8 2 2 2 2 2 2 8 2 2 2 2 8 2 2] [2 2 2 2 2 2 8 2 8 2 2 2 2 8 2 2 2 2 2 2 8 2 2 2 2 8 2] [8 2 2 2 2 2 2 8 2 8 2 2 2 2 8 2 2 2 2 2 2 8 2 2 2 2 8] [2 8 2 2 2 2 2 2 8 2 8 2 2 2 2 8 2 2 2 2 2 2 8 2 2 2 2] [2 2 8 2 2 2 2 2 2 8 2 8 2 2 2 2 8 2 2 2 2 2 2 8 2 2 2] [2 2 2 8 2 2 2 2 2 2 8 2 8 2 2 2 2 8 2 2 2 2 2 2 8 2 2]] -> [[2 8 2 2 8 2 2 8 2 2 2 8 2 2 2 2 8 2 2 2 8 2 2 2 8 2 2] [2 2 4 2 2 4 2 2 4 2 2 2 4 2 2 2 2 4 2 2 2 4 2 2 2 4 2] [2 2 2 8 2 2 8 2 2 8 2 2 2 8 2 2 2 2 8 2 2 2 8 2 2 2 8] [2 2 2 2 4 2 2 4 2 2 4 2 2 2 4 2 2 2 2 4 2 2 2 4 2 2 2] [8 2 2 2 2 8 2 2 8 2 2 8 2 2 2 8 2 2 2 2 8 2 2 2 8 2 2] [2 4 2 2 2 2 4 2 2 4 2 2 4 2 2 2 4 2 2 2 2 4 2 2 2 4 2] [2 2 8 2 2 2 2 8 2 2 8 2 2 8 2 2 2 8 2 2 2 2 8 2 2 2 8] [2 2 2 4 2 2 2 2 4 2 2 4 2 2 4 2 2 2 4 2 2 2 2 4 2 2 2] [2 2 2 2 8 2 2 2 2 8 2 2 8 2 2 8 2 2 2 8 2 2 2 2 8 2 2] [2 2 2 2 2 4 2 2 2 2 4 2 2 4 2 2 4 2 2 2 4 2 2 2 2 4 2] [2 2 2 2 2 2 8 2 2 2 2 8 2 2 8 2 2 8 2 2 2 8 2 2 2 2 8] [8 2 2 2 2 2 2 4 2 2 2 2 4 2 2 4 2 2 4 2 2 2 4 2 2 2 2] [2 4 2 2 2 2 2 2 8 2 2 2 2 8 2 2 8 2 2 8 2 2 2 8 2 2 2] [2 2 8 2 2 2 2 2 2 4 2 2 2 2 4 2 2 4 2 2 4 2 2 2 4 2 2] [2 2 2 4 2 2 2 2 2 2 8 2 2 2 2 8 2 2 8 2 2 8 2 2 2 8 2] [2 2 2 2 8 2 2 2 2 2 2 4 2 2 2 2 4 2 2 4 2 2 4 2 2 2 4] [8 2 2 2 2 4 2 2 2 2 2 2 8 2 2 2 2 8 2 2 8 2 2 8 2 2 2] [2 4 2 2 2 2 8 2 2 2 2 2 2 4 2 2 2 2 4 2 2 4 2 2 4 2 2] [8 2 8 2 2 2 2 4 2 2 2 2 2 2 8 2 2 2 2 8 2 2 8 2 2 8 2] [2 4 2 4 2 2 2 2 8 2 2 2 2 2 2 4 2 2 2 2 4 2 2 4 2 2 4] [2 2 8 2 8 2 2 2 2 4 2 2 2 2 2 2 8 2 2 2 2 8 2 2 8 2 2] [2 2 2 4 2 4 2 2 2 2 8 2 2 2 2 2 2 4 2 2 2 2 4 2 2 4 2] [2 2 2 2 8 2 8 2 2 2 2 4 2 2 2 2 2 2 8 2 2 2 2 8 2 2 8] [2 2 2 2 2 4 2 4 2 2 2 2 8 2 2 2 2 2 2 4 2 2 2 2 4 2 2] [2 2 2 2 2 2 8 2 8 2 2 2 2 4 2 2 2 2 2 2 8 2 2 2 2 8 2] [8 2 2 2 2 2 2 4 2 4 2 2 2 2 8 2 2 2 2 2 2 4 2 2 2 2 4] [2 4 2 2 2 2 2 2 8 2 8 2 2 2 2 4 2 2 2 2 2 2 8 2 2 2 2] [2 2 8 2 2 2 2 2 2 4 2 4 2 2 2 2 8 2 2 2 2 2 2 4 2 2 2] [2 2 2 4 2 2 2 2 2 2 8 2 8 2 2 2 2 4 2 2 2 2 2 2 8 2 2]]# [[0 0 9 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 9 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 9 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 9 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 9 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 9 0 0 0] [0 0 0 0 0 0 0 0 0 0 0 0 0 9 0 0] [9 0 0 0 0 0 0 0 0 0 0 0 0 0 9 0] [0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 9] [9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0] [0 9 0 9 0 0 0 0 0 0 0 0 0 0 0 0] [0 0 9 0 9 0 0 0 0 0 0 0 0 0 0 0] [0 0 0 9 0 9 0 0 0 0 0 0 0 0 0 0] [0 0 0 0 9 0 9 0 0 0 0 0 0 0 0 0] [0 0 0 0 0 9 0 9 0 0 0 0 0 0 0 0] [0 0 0 0 0 0 9 0 9 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 9 0 9 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 4 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 4 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 4 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 4 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 4 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 4 0 0] [9 0 0 0 0 0 0 0 0 0 0 0 0 0 9 0] [0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4] [9 0 9 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 0 0] [0 0 9 0 9 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] [0 0 0 0 9 0 9 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 0 0 0 0 9 0 9 0 0 0 0 0 0 0] [0 0 0 0 0 0 0 4 0 4 0 0 0 0 0 0]]# There is a <image> shows all the examples before. Here is your test case: [[5 5 5 5 5 5 5 5 5 5 5 5 5 5] [7 5 5 5 5 5 5 5 5 5 5 5 5 5] [5 7 5 5 5 5 5 5 5 5 5 5 5 5] [5 5 7 5 5 5 5 5 5 5 5 5 5 5] [5 5 5 7 5 5 5 5 5 5 5 5 5 5] [5 5 5 5 7 5 5 5 5 5 5 5 5 5] [5 5 5 5 5 7 5 5 5 5 5 5 5 5] [5 5 5 5 5 5 7 5 5 5 5 5 5 5] [5 5 5 5 5 5 5 7 5 5 5 5 5 5] [7 5 5 5 5 5 5 5 7 5 5 5 5 5] [5 7 5 5 5 5 5 5 5 7 5 5 5 5] [5 5 7 5 5 5 5 5 5 5 7 5 5 5] [5 5 5 7 5 5 5 5 5 5 5 7 5 5] [5 5 5 5 7 5 5 5 5 5 5 5 7 5] [5 5 5 5 5 7 5 5 5 5 5 5 5 7] [5 5 5 5 5 5 7 5 5 5 5 5 5 5] [5 5 5 5 5 5 5 7 5 5 5 5 5 5] [5 5 5 5 5 5 5 5 7 5 5 5 5 5] [5 5 5 5 5 5 5 5 5 7 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 7 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 7 5 5] [7 5 5 5 5 5 5 5 5 5 5 5 7 5]] ->		[[5 5 5 5 5 5 5 5 5 5 5 5 5 5] [7 5 5 5 5 5 5 5 5 5 5 5 5 5] [5 4 5 5 5 5 5 5 5 5 5 5 5 5] [5 5 7 5 5 5 5 5 5 5 5 5 5 5] [5 5 5 4 5 5 5 5 5 5 5 5 5 5] [5 5 5 5 7 5 5 5 5 5 5 5 5 5] [5 5 5 5 5 4 5 5 5 5 5 5 5 5] [5 5 5 5 5 5 7 5 5 5 5 5 5 5] [5 5 5 5 5 5 5 4 5 5 5 5 5 5] [7 5 5 5 5 5 5 5 7 5 5 5 5 5] [5 4 5 5 5 5 5 5 5 4 5 5 5 5] [5 5 7 5 5 5 5 5 5 5 7 5 5 5] [5 5 5 4 5 5 5 5 5 5 5 4 5 5] [5 5 5 5 7 5 5 5 5 5 5 5 7 5] [5 5 5 5 5 4 5 5 5 5 5 5 5 4] [5 5 5 5 5 5 7 5 5 5 5 5 5 5] [5 5 5 5 5 5 5 4 5 5 5 5 5 5] [5 5 5 5 5 5 5 5 7 5 5 5 5 5] [5 5 5 5 5 5 5 5 5 4 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 7 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 4 5 5] [7 5 5 5 5 5 5 5 5 5 5 5 7 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: [[5 5 0 5 5 5 5 5 5 0 5 5 5 5 5 0 5 5 0 5] [0 5 5 0 5 5 5 5 5 5 0 5 5 5 5 5 0 5 5 0] [5 0 5 5 0 5 5 5 5 5 5 0 5 5 5 5 5 0 5 5] [0 5 0 5 5 0 5 5 5 5 5 5 0 5 5 5 5 5 0 5] [5 0 5 0 5 5 0 5 5 5 5 5 5 0 5 5 5 5 5 0] [0 5 0 5 0 5 5 0 5 5 5 5 5 5 0 5 5 5 5 5] [5 0 5 0 5 0 5 5 0 5 5 5 5 5 5 0 5 5 5 5] [5 5 0 5 0 5 0 5 5 0 5 5 5 5 5 5 0 5 5 5] [5 5 5 0 5 0 5 0 5 5 0 5 5 5 5 5 5 0 5 5] [0 5 5 5 0 5 0 5 0 5 5 0 5 5 5 5 5 5 0 5] [5 0 5 5 5 0 5 0 5 0 5 5 0 5 5 5 5 5 5 0] [5 5 0 5 5 5 0 5 0 5 0 5 5 0 5 5 5 5 5 5] [5 5 5 0 5 5 5 0 5 0 5 0 5 5 0 5 5 5 5 5] [5 5 5 5 0 5 5 5 0 5 0 5 0 5 5 0 5 5 5 5] [5 5 5 5 5 0 5 5 5 0 5 0 5 0 5 5 0 5 5 5] [0 5 5 5 5 5 0 5 5 5 0 5 0 5 0 5 5 0 5 5] [5 0 5 5 5 5 5 0 5 5 5 0 5 0 5 0 5 5 0 5] [5 5 0 5 5 5 5 5 0 5 5 5 0 5 0 5 0 5 5 0] [5 5 5 0 5 5 5 5 5 0 5 5 5 0 5 0 5 0 5 5] [0 5 5 5 0 5 5 5 5 5 0 5 5 5 0 5 0 5 0 5] [5 0 5 5 5 0 5 5 5 5 5 0 5 5 5 0 5 0 5 0] [0 5 0 5 5 5 0 5 5 5 5 5 0 5 5 5 0 5 0 5] [5 0 5 0 5 5 5 0 5 5 5 5 5 0 5 5 5 0 5 0] [5 5 0 5 0 5 5 5 0 5 5 5 5 5 0 5 5 5 0 5] [5 5 5 0 5 0 5 5 5 0 5 5 5 5 5 0 5 5 5 0] [5 5 5 5 0 5 0 5 5 5 0 5 5 5 5 5 0 5 5 5] [0 5 5 5 5 0 5 0 5 5 5 0 5 5 5 5 5 0 5 5]] -> [[5 5 0 5 5 5 5 5 5 0 5 5 5 5 5 0 5 5 0 5] [0 5 5 4 5 5 5 5 5 5 4 5 5 5 5 5 4 5 5 4] [5 4 5 5 0 5 5 5 5 5 5 0 5 5 5 5 5 0 5 5] [0 5 0 5 5 4 5 5 5 5 5 5 4 5 5 5 5 5 4 5] [5 4 5 4 5 5 0 5 5 5 5 5 5 0 5 5 5 5 5 0] [0 5 0 5 0 5 5 4 5 5 5 5 5 5 4 5 5 5 5 5] [5 4 5 4 5 4 5 5 0 5 5 5 5 5 5 0 5 5 5 5] [5 5 0 5 0 5 0 5 5 4 5 5 5 5 5 5 4 5 5 5] [5 5 5 4 5 4 5 4 5 5 0 5 5 5 5 5 5 0 5 5] [0 5 5 5 0 5 0 5 0 5 5 4 5 5 5 5 5 5 4 5] [5 4 5 5 5 4 5 4 5 4 5 5 0 5 5 5 5 5 5 0] [5 5 0 5 5 5 0 5 0 5 0 5 5 4 5 5 5 5 5 5] [5 5 5 4 5 5 5 4 5 4 5 4 5 5 0 5 5 5 5 5] [5 5 5 5 0 5 5 5 0 5 0 5 0 5 5 4 5 5 5 5] [5 5 5 5 5 4 5 5 5 4 5 4 5 4 5 5 0 5 5 5] [0 5 5 5 5 5 0 5 5 5 0 5 0 5 0 5 5 4 5 5] [5 4 5 5 5 5 5 4 5 5 5 4 5 4 5 4 5 5 0 5] [5 5 0 5 5 5 5 5 0 5 5 5 0 5 0 5 0 5 5 4] [5 5 5 4 5 5 5 5 5 4 5 5 5 4 5 4 5 4 5 5] [0 5 5 5 0 5 5 5 5 5 0 5 5 5 0 5 0 5 0 5] [5 4 5 5 5 4 5 5 5 5 5 4 5 5 5 4 5 4 5 4] [0 5 0 5 5 5 0 5 5 5 5 5 0 5 5 5 0 5 0 5] [5 4 5 4 5 5 5 4 5 5 5 5 5 4 5 5 5 4 5 4] [5 5 0 5 0 5 5 5 0 5 5 5 5 5 0 5 5 5 0 5] [5 5 5 4 5 4 5 5 5 4 5 5 5 5 5 4 5 5 5 4] [5 5 5 5 0 5 0 5 5 5 0 5 5 5 5 5 0 5 5 5] [0 5 5 5 5 4 5 4 5 5 5 4 5 5 5 5 5 4 5 5]]# [[1 1 1 1 1 1 1 1 5 1 1 1 5 1] [5 1 1 1 1 1 1 1 1 5 1 1 1 5] [1 5 1 1 1 1 1 1 1 1 5 1 1 1] [1 1 5 1 1 1 1 1 1 1 1 5 1 1] [1 1 1 5 1 1 1 1 1 1 1 1 5 1] [1 1 1 1 5 1 1 1 1 1 1 1 1 5] [1 1 1 1 1 5 1 1 1 1 1 1 1 1] [1 1 1 1 1 1 5 1 1 1 1 1 1 1] [1 1 1 1 1 1 1 5 1 1 1 1 1 1] [1 1 1 1 1 1 1 1 5 1 1 1 1 1] [1 1 1 1 1 1 1 1 1 5 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 5 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 5 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 5 1] [1 1 1 1 1 1 1 1 1 1 1 1 1 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 1 1 1 1 1 1 1 1 1 1 1 1] [5 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 5 1 1 1 1 1 1 1 1 1 1 1 1] [1 1 5 1 1 1 1 1 1 1 1 1 1 1] [1 1 1 5 1 1 1 1 1 1 1 1 1 1]] -> [[1 1 1 1 1 1 1 1 5 1 1 1 5 1] [5 1 1 1 1 1 1 1 1 4 1 1 1 4] [1 4 1 1 1 1 1 1 1 1 5 1 1 1] [1 1 5 1 1 1 1 1 1 1 1 4 1 1] [1 1 1 4 1 1 1 1 1 1 1 1 5 1] [1 1 1 1 5 1 1 1 1 1 1 1 1 4] [1 1 1 1 1 4 1 1 1 1 1 1 1 1] [1 1 1 1 1 1 5 1 1 1 1 1 1 1] [1 1 1 1 1 1 1 4 1 1 1 1 1 1] [1 1 1 1 1 1 1 1 5 1 1 1 1 1] [1 1 1 1 1 1 1 1 1 4 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 5 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 4 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 5 1] [1 1 1 1 1 1 1 1 1 1 1 1 1 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 1 1 1 1 1 1 1 1 1 1 1 1] [5 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 4 1 1 1 1 1 1 1 1 1 1 1 1] [1 1 5 1 1 1 1 1 1 1 1 1 1 1] [1 1 1 4 1 1 1 1 1 1 1 1 1 1]]# [[3 3 3 7 3 3 3 7 3 3 3 3 3 7 3 7 3 3 3 7 3 3 3 7 3 7 3 3] [3 3 3 3 7 3 3 3 7 3 3 3 3 3 7 3 7 3 3 3 7 3 3 3 7 3 7 3] [7 3 3 3 3 7 3 3 3 7 3 3 3 3 3 7 3 7 3 3 3 7 3 3 3 7 3 7] [3 7 3 3 3 3 7 3 3 3 7 3 3 3 3 3 7 3 7 3 3 3 7 3 3 3 7 3] [7 3 7 3 3 3 3 7 3 3 3 7 3 3 3 3 3 7 3 7 3 3 3 7 3 3 3 7] [3 7 3 7 3 3 3 3 7 3 3 3 7 3 3 3 3 3 7 3 7 3 3 3 7 3 3 3] [3 3 7 3 7 3 3 3 3 7 3 3 3 7 3 3 3 3 3 7 3 7 3 3 3 7 3 3] [7 3 3 7 3 7 3 3 3 3 7 3 3 3 7 3 3 3 3 3 7 3 7 3 3 3 7 3] [3 7 3 3 7 3 7 3 3 3 3 7 3 3 3 7 3 3 3 3 3 7 3 7 3 3 3 7]] -> [[3 3 3 7 3 3 3 7 3 3 3 3 3 7 3 7 3 3 3 7 3 3 3 7 3 7 3 3] [3 3 3 3 4 3 3 3 4 3 3 3 3 3 4 3 4 3 3 3 4 3 3 3 4 3 4 3] [7 3 3 3 3 7 3 3 3 7 3 3 3 3 3 7 3 7 3 3 3 7 3 3 3 7 3 7] [3 4 3 3 3 3 4 3 3 3 4 3 3 3 3 3 4 3 4 3 3 3 4 3 3 3 4 3] [7 3 7 3 3 3 3 7 3 3 3 7 3 3 3 3 3 7 3 7 3 3 3 7 3 3 3 7] [3 4 3 4 3 3 3 3 4 3 3 3 4 3 3 3 3 3 4 3 4 3 3 3 4 3 3 3] [3 3 7 3 7 3 3 3 3 7 3 3 3 7 3 3 3 3 3 7 3 7 3 3 3 7 3 3] [7 3 3 4 3 4 3 3 3 3 4 3 3 3 4 3 3 3 3 3 4 3 4 3 3 3 4 3] [3 4 3 3 7 3 7 3 3 3 3 7 3 3 3 7 3 3 3 3 3 7 3 7 3 3 3 7]]# [[3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 7 3 3 3 7 3 3 3 3 3 3 7] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 7 3 3 3 7 3 3 3 3 3 3] [7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 7 3 3 3 7 3 3 3 3 3] [3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 7 3 3 3 7 3 3 3 3] [3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 7 3 3 3 7 3 3 3] [3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 7 3 3 3 7 3 3] [7 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 7 3 3 3 7 3] [3 7 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 7 3 3 3 7] [3 3 7 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 7 3 3 3] [3 3 3 7 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 7 3 3] [7 3 3 3 7 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 7 3] [3 7 3 3 3 7 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 7] [3 3 7 3 3 3 7 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3] [3 3 3 7 3 3 3 7 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3] [3 3 3 3 7 3 3 3 7 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3] [3 3 3 3 3 7 3 3 3 7 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7] [3 3 3 3 3 3 7 3 3 3 7 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3] [7 3 3 3 3 3 3 7 3 3 3 7 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3] [3 7 3 3 3 3 3 3 7 3 3 3 7 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3] [7 3 7 3 3 3 3 3 3 7 3 3 3 7 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3] [3 7 3 7 3 3 3 3 3 3 7 3 3 3 7 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3]] -> [[3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 7 3 3 3 7 3 3 3 3 3 3 7] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 3 3 3 4 3 3 3 3 3 3] [7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 7 3 3 3 7 3 3 3 3 3] [3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 3 3 3 4 3 3 3 3] [3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 7 3 3 3 7 3 3 3] [3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 3 3 3 4 3 3] [7 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 7 3 3 3 7 3] [3 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 3 3 3 4] [3 3 7 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 7 3 3 3] [3 3 3 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4 3 3] [7 3 3 3 7 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3 7 3] [3 4 3 3 3 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 4] [3 3 7 3 3 3 7 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3 3 3] [3 3 3 4 3 3 3 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3] [3 3 3 3 7 3 3 3 7 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 7 3] [3 3 3 3 3 4 3 3 3 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4] [3 3 3 3 3 3 7 3 3 3 7 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3] [7 3 3 3 3 3 3 4 3 3 3 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3] [3 4 3 3 3 3 3 3 7 3 3 3 7 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3] [7 3 7 3 3 3 3 3 3 4 3 3 3 4 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3] [3 4 3 4 3 3 3 3 3 3 7 3 3 3 7 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3]]# [[5 6 6 5 6 6 6] [6 5 6 6 5 6 6] [6 6 5 6 6 5 6] [5 6 6 5 6 6 5] [6 5 6 6 5 6 6] [6 6 5 6 6 5 6] [6 6 6 5 6 6 5] [6 6 6 6 5 6 6] [6 6 6 6 6 5 6] [5 6 6 6 6 6 5] [6 5 6 6 6 6 6] [5 6 5 6 6 6 6] [6 5 6 5 6 6 6] [5 6 5 6 5 6 6] [6 5 6 5 6 5 6] [6 6 5 6 5 6 5] [6 6 6 5 6 5 6] [5 6 6 6 5 6 5] [6 5 6 6 6 5 6] [6 6 5 6 6 6 5] [6 6 6 5 6 6 6] [5 6 6 6 5 6 6] [6 5 6 6 6 5 6] [5 6 5 6 6 6 5] [6 5 6 5 6 6 6] [5 6 5 6 5 6 6]] -> [[5 6 6 5 6 6 6] [6 4 6 6 4 6 6] [6 6 5 6 6 5 6] [5 6 6 4 6 6 4] [6 4 6 6 5 6 6] [6 6 5 6 6 4 6] [6 6 6 4 6 6 5] [6 6 6 6 5 6 6] [6 6 6 6 6 4 6] [5 6 6 6 6 6 5] [6 4 6 6 6 6 6] [5 6 5 6 6 6 6] [6 4 6 4 6 6 6] [5 6 5 6 5 6 6] [6 4 6 4 6 4 6] [6 6 5 6 5 6 5] [6 6 6 4 6 4 6] [5 6 6 6 5 6 5] [6 4 6 6 6 4 6] [6 6 5 6 6 6 5] [6 6 6 4 6 6 6] [5 6 6 6 5 6 6] [6 4 6 6 6 4 6] [5 6 5 6 6 6 5] [6 4 6 4 6 6 6] [5 6 5 6 5 6 6]]# There is a <image> shows all the examples before. Here is your test case: [[6 6 6 8 6 6 6 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 8 6 6 6 8 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 8 6 6 6 8 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 8 6 6 6 8 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 8 6 6 6 8 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 8 6 6 6 8 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 8 6 6 6 8 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 8 6 6 6 8 6 6 6 6 6 6 6] [8 6 6 6 6 6 6 6 6 6 6 8 6 6 6 8 6 6 6 6 6 6] [6 8 6 6 6 6 6 6 6 6 6 6 8 6 6 6 8 6 6 6 6 6] [6 6 8 6 6 6 6 6 6 6 6 6 6 8 6 6 6 8 6 6 6 6] [6 6 6 8 6 6 6 6 6 6 6 6 6 6 8 6 6 6 8 6 6 6] [6 6 6 6 8 6 6 6 6 6 6 6 6 6 6 8 6 6 6 8 6 6] [6 6 6 6 6 8 6 6 6 6 6 6 6 6 6 6 8 6 6 6 8 6] [6 6 6 6 6 6 8 6 6 6 6 6 6 6 6 6 6 8 6 6 6 8] [6 6 6 6 6 6 6 8 6 6 6 6 6 6 6 6 6 6 8 6 6 6] [8 6 6 6 6 6 6 6 8 6 6 6 6 6 6 6 6 6 6 8 6 6] [6 8 6 6 6 6 6 6 6 8 6 6 6 6 6 6 6 6 6 6 8 6] [6 6 8 6 6 6 6 6 6 6 8 6 6 6 6 6 6 6 6 6 6 8] [8 6 6 8 6 6 6 6 6 6 6 8 6 6 6 6 6 6 6 6 6 6] [6 8 6 6 8 6 6 6 6 6 6 6 8 6 6 6 6 6 6 6 6 6] [6 6 8 6 6 8 6 6 6 6 6 6 6 8 6 6 6 6 6 6 6 6] [6 6 6 8 6 6 8 6 6 6 6 6 6 6 8 6 6 6 6 6 6 6] [8 6 6 6 8 6 6 8 6 6 6 6 6 6 6 8 6 6 6 6 6 6] [6 8 6 6 6 8 6 6 8 6 6 6 6 6 6 6 8 6 6 6 6 6] [6 6 8 6 6 6 8 6 6 8 6 6 6 6 6 6 6 8 6 6 6 6] [6 6 6 8 6 6 6 8 6 6 8 6 6 6 6 6 6 6 8 6 6 6] [6 6 6 6 8 6 6 6 8 6 6 8 6 6 6 6 6 6 6 8 6 6] [8 6 6 6 6 8 6 6 6 8 6 6 8 6 6 6 6 6 6 6 8 6]] ->		[[6 6 6 8 6 6 6 8 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 4 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 8 6 6 6 8 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 4 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 8 6 6 6 8 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 4 6 6 6 4 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 8 6 6 6 8 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 4 6 6 6 4 6 6 6 6 6 6 6] [8 6 6 6 6 6 6 6 6 6 6 8 6 6 6 8 6 6 6 6 6 6] [6 4 6 6 6 6 6 6 6 6 6 6 4 6 6 6 4 6 6 6 6 6] [6 6 8 6 6 6 6 6 6 6 6 6 6 8 6 6 6 8 6 6 6 6] [6 6 6 4 6 6 6 6 6 6 6 6 6 6 4 6 6 6 4 6 6 6] [6 6 6 6 8 6 6 6 6 6 6 6 6 6 6 8 6 6 6 8 6 6] [6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 4 6 6 6 4 6] [6 6 6 6 6 6 8 6 6 6 6 6 6 6 6 6 6 8 6 6 6 8] [6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 4 6 6 6] [8 6 6 6 6 6 6 6 8 6 6 6 6 6 6 6 6 6 6 8 6 6] [6 4 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 4 6] [6 6 8 6 6 6 6 6 6 6 8 6 6 6 6 6 6 6 6 6 6 8] [8 6 6 4 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6] [6 4 6 6 8 6 6 6 6 6 6 6 8 6 6 6 6 6 6 6 6 6] [6 6 8 6 6 4 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6] [6 6 6 4 6 6 8 6 6 6 6 6 6 6 8 6 6 6 6 6 6 6] [8 6 6 6 8 6 6 4 6 6 6 6 6 6 6 4 6 6 6 6 6 6] [6 4 6 6 6 4 6 6 8 6 6 6 6 6 6 6 8 6 6 6 6 6] [6 6 8 6 6 6 8 6 6 4 6 6 6 6 6 6 6 4 6 6 6 6] [6 6 6 4 6 6 6 4 6 6 8 6 6 6 6 6 6 6 8 6 6 6] [6 6 6 6 8 6 6 6 8 6 6 4 6 6 6 6 6 6 6 4 6 6] [8 6 6 6 6 4 6 6 6 4 6 6 8 6 6 6 6 6 6 6 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: [[3 3 0 3 3 3 3 3 0 3 3] [3 3 3 0 3 3 3 3 3 0 3] [3 3 3 3 0 3 3 3 3 3 0] [3 3 3 3 3 0 3 3 3 3 3] [0 3 3 3 3 3 0 3 3 3 3] [3 0 3 3 3 3 3 0 3 3 3] [3 3 0 3 3 3 3 3 0 3 3] [3 3 3 0 3 3 3 3 3 0 3] [3 3 3 3 0 3 3 3 3 3 0] [3 3 3 3 3 0 3 3 3 3 3] [3 3 3 3 3 3 0 3 3 3 3] [3 3 3 3 3 3 3 0 3 3 3] [3 3 3 3 3 3 3 3 0 3 3] [3 3 3 3 3 3 3 3 3 0 3] [3 3 3 3 3 3 3 3 3 3 0] [3 3 3 3 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3]] -> [[3 3 0 3 3 3 3 3 0 3 3] [3 3 3 4 3 3 3 3 3 4 3] [3 3 3 3 0 3 3 3 3 3 0] [3 3 3 3 3 4 3 3 3 3 3] [0 3 3 3 3 3 0 3 3 3 3] [3 4 3 3 3 3 3 4 3 3 3] [3 3 0 3 3 3 3 3 0 3 3] [3 3 3 4 3 3 3 3 3 4 3] [3 3 3 3 0 3 3 3 3 3 0] [3 3 3 3 3 4 3 3 3 3 3] [3 3 3 3 3 3 0 3 3 3 3] [3 3 3 3 3 3 3 4 3 3 3] [3 3 3 3 3 3 3 3 0 3 3] [3 3 3 3 3 3 3 3 3 4 3] [3 3 3 3 3 3 3 3 3 3 0] [3 3 3 3 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3]]# [[0 0 3 0 0 0 3 0 3 0 3 0 0 3 0] [0 0 0 3 0 0 0 3 0 3 0 3 0 0 3] [0 0 0 0 3 0 0 0 3 0 3 0 3 0 0] [3 0 0 0 0 3 0 0 0 3 0 3 0 3 0] [0 3 0 0 0 0 3 0 0 0 3 0 3 0 3] [3 0 3 0 0 0 0 3 0 0 0 3 0 3 0] [0 3 0 3 0 0 0 0 3 0 0 0 3 0 3] [0 0 3 0 3 0 0 0 0 3 0 0 0 3 0] [0 0 0 3 0 3 0 0 0 0 3 0 0 0 3] [0 0 0 0 3 0 3 0 0 0 0 3 0 0 0] [3 0 0 0 0 3 0 3 0 0 0 0 3 0 0] [0 3 0 0 0 0 3 0 3 0 0 0 0 3 0] [0 0 3 0 0 0 0 3 0 3 0 0 0 0 3] [3 0 0 3 0 0 0 0 3 0 3 0 0 0 0] [0 3 0 0 3 0 0 0 0 3 0 3 0 0 0] [3 0 3 0 0 3 0 0 0 0 3 0 3 0 0] [0 3 0 3 0 0 3 0 0 0 0 3 0 3 0]] -> [[0 0 3 0 0 0 3 0 3 0 3 0 0 3 0] [0 0 0 4 0 0 0 4 0 4 0 4 0 0 4] [0 0 0 0 3 0 0 0 3 0 3 0 3 0 0] [3 0 0 0 0 4 0 0 0 4 0 4 0 4 0] [0 4 0 0 0 0 3 0 0 0 3 0 3 0 3] [3 0 3 0 0 0 0 4 0 0 0 4 0 4 0] [0 4 0 4 0 0 0 0 3 0 0 0 3 0 3] [0 0 3 0 3 0 0 0 0 4 0 0 0 4 0] [0 0 0 4 0 4 0 0 0 0 3 0 0 0 3] [0 0 0 0 3 0 3 0 0 0 0 4 0 0 0] [3 0 0 0 0 4 0 4 0 0 0 0 3 0 0] [0 4 0 0 0 0 3 0 3 0 0 0 0 4 0] [0 0 3 0 0 0 0 4 0 4 0 0 0 0 3] [3 0 0 4 0 0 0 0 3 0 3 0 0 0 0] [0 4 0 0 3 0 0 0 0 4 0 4 0 0 0] [3 0 3 0 0 4 0 0 0 0 3 0 3 0 0] [0 4 0 4 0 0 3 0 0 0 0 4 0 4 0]]# [[0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 0 1 0] [0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 0 1] [1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 0] [0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0] [0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1] [0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0] [1 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1] [0 1 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0]] -> [[0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 0 1 0] [0 0 0 0 0 0 4 0 4 0 0 0 0 4 0 0 4 0 4 0 0 4] [1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 0] [0 4 0 0 0 0 0 0 4 0 4 0 0 0 0 4 0 0 4 0 4 0] [0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1] [0 0 0 4 0 0 0 0 0 0 4 0 4 0 0 0 0 4 0 0 4 0] [1 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1] [0 4 0 0 0 4 0 0 0 0 0 0 4 0 4 0 0 0 0 4 0 0]]# [[7 5 7 7 7 7 7 7] [7 7 5 7 7 7 7 7] [5 7 7 5 7 7 7 7] [7 5 7 7 5 7 7 7] [7 7 5 7 7 5 7 7] [5 7 7 5 7 7 5 7] [7 5 7 7 5 7 7 5] [7 7 5 7 7 5 7 7] [7 7 7 5 7 7 5 7] [7 7 7 7 5 7 7 5] [7 7 7 7 7 5 7 7] [7 7 7 7 7 7 5 7] [5 7 7 7 7 7 7 5] [7 5 7 7 7 7 7 7] [5 7 5 7 7 7 7 7] [7 5 7 5 7 7 7 7] [7 7 5 7 5 7 7 7] [5 7 7 5 7 5 7 7] [7 5 7 7 5 7 5 7] [5 7 5 7 7 5 7 5] [7 5 7 5 7 7 5 7] [5 7 5 7 5 7 7 5] [7 5 7 5 7 5 7 7] [5 7 5 7 5 7 5 7] [7 5 7 5 7 5 7 5]] -> [[7 5 7 7 7 7 7 7] [7 7 4 7 7 7 7 7] [5 7 7 5 7 7 7 7] [7 4 7 7 4 7 7 7] [7 7 5 7 7 5 7 7] [5 7 7 4 7 7 4 7] [7 4 7 7 5 7 7 5] [7 7 5 7 7 4 7 7] [7 7 7 4 7 7 5 7] [7 7 7 7 5 7 7 4] [7 7 7 7 7 4 7 7] [7 7 7 7 7 7 5 7] [5 7 7 7 7 7 7 4] [7 4 7 7 7 7 7 7] [5 7 5 7 7 7 7 7] [7 4 7 4 7 7 7 7] [7 7 5 7 5 7 7 7] [5 7 7 4 7 4 7 7] [7 4 7 7 5 7 5 7] [5 7 5 7 7 4 7 4] [7 4 7 4 7 7 5 7] [5 7 5 7 5 7 7 4] [7 4 7 4 7 4 7 7] [5 7 5 7 5 7 5 7] [7 4 7 4 7 4 7 4]]# There is a <image> shows all the examples before. Here is your test case: [[2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8 2 2 2 2 2 2 8 2] [2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8 2 2 2 2 2 2 8] [8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8 2 2 2 2 2 2] [2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8 2 2 2 2 2] [8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8 2 2 2 2] [2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8 2 2 2] [2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8 2 2] [2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8 2] [2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8] [2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2] [2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2] [8 2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2] [2 8 2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2] [2 2 8 2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2] [2 2 2 8 2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2] [8 2 2 2 8 2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2] [2 8 2 2 2 8 2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8] [2 2 8 2 2 2 8 2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2] [2 2 2 8 2 2 2 8 2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2]] ->		[[2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8 2 2 2 2 2 2 8 2] [2 2 4 2 2 2 4 2 4 2 2 4 2 2 2 2 2 2 2 4 2 2 2 2 2 2 4] [8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8 2 2 2 2 2 2] [2 4 2 2 4 2 2 2 4 2 4 2 2 4 2 2 2 2 2 2 2 4 2 2 2 2 2] [8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8 2 2 2 2] [2 4 2 4 2 2 4 2 2 2 4 2 4 2 2 4 2 2 2 2 2 2 2 4 2 2 2] [2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8 2 2] [2 2 2 4 2 4 2 2 4 2 2 2 4 2 4 2 2 4 2 2 2 2 2 2 2 4 2] [2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8] [2 2 2 2 2 4 2 4 2 2 4 2 2 2 4 2 4 2 2 4 2 2 2 2 2 2 2] [2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2] [8 2 2 2 2 2 2 4 2 4 2 2 4 2 2 2 4 2 4 2 2 4 2 2 2 2 2] [2 4 2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2] [2 2 8 2 2 2 2 2 2 4 2 4 2 2 4 2 2 2 4 2 4 2 2 4 2 2 2] [2 2 2 4 2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2] [8 2 2 2 8 2 2 2 2 2 2 4 2 4 2 2 4 2 2 2 4 2 4 2 2 4 2] [2 4 2 2 2 4 2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8] [2 2 8 2 2 2 8 2 2 2 2 2 2 4 2 4 2 2 4 2 2 2 4 2 4 2 2] [2 2 2 4 2 2 2 4 2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 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: [[8 1 1 8 1 1 1 1 1 1 1 1] [1 8 1 1 8 1 1 1 1 1 1 1] [8 1 8 1 1 8 1 1 1 1 1 1] [1 8 1 8 1 1 8 1 1 1 1 1] [1 1 8 1 8 1 1 8 1 1 1 1] [1 1 1 8 1 8 1 1 8 1 1 1] [8 1 1 1 8 1 8 1 1 8 1 1] [1 8 1 1 1 8 1 8 1 1 8 1] [1 1 8 1 1 1 8 1 8 1 1 8]] -> [[8 1 1 8 1 1 1 1 1 1 1 1] [1 4 1 1 4 1 1 1 1 1 1 1] [8 1 8 1 1 8 1 1 1 1 1 1] [1 4 1 4 1 1 4 1 1 1 1 1] [1 1 8 1 8 1 1 8 1 1 1 1] [1 1 1 4 1 4 1 1 4 1 1 1] [8 1 1 1 8 1 8 1 1 8 1 1] [1 4 1 1 1 4 1 4 1 1 4 1] [1 1 8 1 1 1 8 1 8 1 1 8]]# [[7 0 7 7 7 7 0 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 7 7 7] [7 7 0 7 7 7 7 0 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 7 7] [7 7 7 0 7 7 7 7 0 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 7] [7 7 7 7 0 7 7 7 7 0 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7] [7 7 7 7 7 0 7 7 7 7 0 7 7 7 7 7 0 7 7 7 7 7 7 7 7] [0 7 7 7 7 7 0 7 7 7 7 0 7 7 7 7 7 0 7 7 7 7 7 7 7] [7 0 7 7 7 7 7 0 7 7 7 7 0 7 7 7 7 7 0 7 7 7 7 7 7] [7 7 0 7 7 7 7 7 0 7 7 7 7 0 7 7 7 7 7 0 7 7 7 7 7] [7 7 7 0 7 7 7 7 7 0 7 7 7 7 0 7 7 7 7 7 0 7 7 7 7] [7 7 7 7 0 7 7 7 7 7 0 7 7 7 7 0 7 7 7 7 7 0 7 7 7] [0 7 7 7 7 0 7 7 7 7 7 0 7 7 7 7 0 7 7 7 7 7 0 7 7] [7 0 7 7 7 7 0 7 7 7 7 7 0 7 7 7 7 0 7 7 7 7 7 0 7] [7 7 0 7 7 7 7 0 7 7 7 7 7 0 7 7 7 7 0 7 7 7 7 7 0] [0 7 7 0 7 7 7 7 0 7 7 7 7 7 0 7 7 7 7 0 7 7 7 7 7] [7 0 7 7 0 7 7 7 7 0 7 7 7 7 7 0 7 7 7 7 0 7 7 7 7] [7 7 0 7 7 0 7 7 7 7 0 7 7 7 7 7 0 7 7 7 7 0 7 7 7] [0 7 7 0 7 7 0 7 7 7 7 0 7 7 7 7 7 0 7 7 7 7 0 7 7] [7 0 7 7 0 7 7 0 7 7 7 7 0 7 7 7 7 7 0 7 7 7 7 0 7] [7 7 0 7 7 0 7 7 0 7 7 7 7 0 7 7 7 7 7 0 7 7 7 7 0] [0 7 7 0 7 7 0 7 7 0 7 7 7 7 0 7 7 7 7 7 0 7 7 7 7] [7 0 7 7 0 7 7 0 7 7 0 7 7 7 7 0 7 7 7 7 7 0 7 7 7]] -> [[7 0 7 7 7 7 0 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 7 7 7] [7 7 4 7 7 7 7 4 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7] [7 7 7 0 7 7 7 7 0 7 7 7 7 7 0 7 7 7 7 7 7 7 7 7 7] [7 7 7 7 4 7 7 7 7 4 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7] [7 7 7 7 7 0 7 7 7 7 0 7 7 7 7 7 0 7 7 7 7 7 7 7 7] [0 7 7 7 7 7 4 7 7 7 7 4 7 7 7 7 7 4 7 7 7 7 7 7 7] [7 4 7 7 7 7 7 0 7 7 7 7 0 7 7 7 7 7 0 7 7 7 7 7 7] [7 7 0 7 7 7 7 7 4 7 7 7 7 4 7 7 7 7 7 4 7 7 7 7 7] [7 7 7 4 7 7 7 7 7 0 7 7 7 7 0 7 7 7 7 7 0 7 7 7 7] [7 7 7 7 0 7 7 7 7 7 4 7 7 7 7 4 7 7 7 7 7 4 7 7 7] [0 7 7 7 7 4 7 7 7 7 7 0 7 7 7 7 0 7 7 7 7 7 0 7 7] [7 4 7 7 7 7 0 7 7 7 7 7 4 7 7 7 7 4 7 7 7 7 7 4 7] [7 7 0 7 7 7 7 4 7 7 7 7 7 0 7 7 7 7 0 7 7 7 7 7 0] [0 7 7 4 7 7 7 7 0 7 7 7 7 7 4 7 7 7 7 4 7 7 7 7 7] [7 4 7 7 0 7 7 7 7 4 7 7 7 7 7 0 7 7 7 7 0 7 7 7 7] [7 7 0 7 7 4 7 7 7 7 0 7 7 7 7 7 4 7 7 7 7 4 7 7 7] [0 7 7 4 7 7 0 7 7 7 7 4 7 7 7 7 7 0 7 7 7 7 0 7 7] [7 4 7 7 0 7 7 4 7 7 7 7 0 7 7 7 7 7 4 7 7 7 7 4 7] [7 7 0 7 7 4 7 7 0 7 7 7 7 4 7 7 7 7 7 0 7 7 7 7 0] [0 7 7 4 7 7 0 7 7 4 7 7 7 7 0 7 7 7 7 7 4 7 7 7 7] [7 4 7 7 0 7 7 4 7 7 0 7 7 7 7 4 7 7 7 7 7 0 7 7 7]]# [[6 0 6 0 6 6 0 6 6 6 6 0 6 6 0 6 0 6 6 0 6 0] [0 6 0 6 0 6 6 0 6 6 6 6 0 6 6 0 6 0 6 6 0 6] [6 0 6 0 6 0 6 6 0 6 6 6 6 0 6 6 0 6 0 6 6 0] [0 6 0 6 0 6 0 6 6 0 6 6 6 6 0 6 6 0 6 0 6 6] [6 0 6 0 6 0 6 0 6 6 0 6 6 6 6 0 6 6 0 6 0 6] [0 6 0 6 0 6 0 6 0 6 6 0 6 6 6 6 0 6 6 0 6 0] [6 0 6 0 6 0 6 0 6 0 6 6 0 6 6 6 6 0 6 6 0 6] [6 6 0 6 0 6 0 6 0 6 0 6 6 0 6 6 6 6 0 6 6 0] [0 6 6 0 6 0 6 0 6 0 6 0 6 6 0 6 6 6 6 0 6 6] [6 0 6 6 0 6 0 6 0 6 0 6 0 6 6 0 6 6 6 6 0 6] [0 6 0 6 6 0 6 0 6 0 6 0 6 0 6 6 0 6 6 6 6 0] [6 0 6 0 6 6 0 6 0 6 0 6 0 6 0 6 6 0 6 6 6 6] [6 6 0 6 0 6 6 0 6 0 6 0 6 0 6 0 6 6 0 6 6 6] [0 6 6 0 6 0 6 6 0 6 0 6 0 6 0 6 0 6 6 0 6 6] [6 0 6 6 0 6 0 6 6 0 6 0 6 0 6 0 6 0 6 6 0 6] [6 6 0 6 6 0 6 0 6 6 0 6 0 6 0 6 0 6 0 6 6 0] [6 6 6 0 6 6 0 6 0 6 6 0 6 0 6 0 6 0 6 0 6 6] [0 6 6 6 0 6 6 0 6 0 6 6 0 6 0 6 0 6 0 6 0 6] [6 0 6 6 6 0 6 6 0 6 0 6 6 0 6 0 6 0 6 0 6 0] [0 6 0 6 6 6 0 6 6 0 6 0 6 6 0 6 0 6 0 6 0 6] [6 0 6 0 6 6 6 0 6 6 0 6 0 6 6 0 6 0 6 0 6 0] [0 6 0 6 0 6 6 6 0 6 6 0 6 0 6 6 0 6 0 6 0 6] [6 0 6 0 6 0 6 6 6 0 6 6 0 6 0 6 6 0 6 0 6 0] [6 6 0 6 0 6 0 6 6 6 0 6 6 0 6 0 6 6 0 6 0 6] [6 6 6 0 6 0 6 0 6 6 6 0 6 6 0 6 0 6 6 0 6 0] [6 6 6 6 0 6 0 6 0 6 6 6 0 6 6 0 6 0 6 6 0 6] [6 6 6 6 6 0 6 0 6 0 6 6 6 0 6 6 0 6 0 6 6 0] [6 6 6 6 6 6 0 6 0 6 0 6 6 6 0 6 6 0 6 0 6 6] [6 6 6 6 6 6 6 0 6 0 6 0 6 6 6 0 6 6 0 6 0 6] [6 6 6 6 6 6 6 6 0 6 0 6 0 6 6 6 0 6 6 0 6 0]] -> [[6 0 6 0 6 6 0 6 6 6 6 0 6 6 0 6 0 6 6 0 6 0] [0 6 4 6 4 6 6 4 6 6 6 6 4 6 6 4 6 4 6 6 4 6] [6 4 6 0 6 0 6 6 0 6 6 6 6 0 6 6 0 6 0 6 6 0] [0 6 0 6 4 6 4 6 6 4 6 6 6 6 4 6 6 4 6 4 6 6] [6 4 6 4 6 0 6 0 6 6 0 6 6 6 6 0 6 6 0 6 0 6] [0 6 0 6 0 6 4 6 4 6 6 4 6 6 6 6 4 6 6 4 6 4] [6 4 6 4 6 4 6 0 6 0 6 6 0 6 6 6 6 0 6 6 0 6] [6 6 0 6 0 6 0 6 4 6 4 6 6 4 6 6 6 6 4 6 6 4] [0 6 6 4 6 4 6 4 6 0 6 0 6 6 0 6 6 6 6 0 6 6] [6 4 6 6 0 6 0 6 0 6 4 6 4 6 6 4 6 6 6 6 4 6] [0 6 0 6 6 4 6 4 6 4 6 0 6 0 6 6 0 6 6 6 6 0] [6 4 6 4 6 6 0 6 0 6 0 6 4 6 4 6 6 4 6 6 6 6] [6 6 0 6 0 6 6 4 6 4 6 4 6 0 6 0 6 6 0 6 6 6] [0 6 6 4 6 4 6 6 0 6 0 6 0 6 4 6 4 6 6 4 6 6] [6 4 6 6 0 6 0 6 6 4 6 4 6 4 6 0 6 0 6 6 0 6] [6 6 0 6 6 4 6 4 6 6 0 6 0 6 0 6 4 6 4 6 6 4] [6 6 6 4 6 6 0 6 0 6 6 4 6 4 6 4 6 0 6 0 6 6] [0 6 6 6 0 6 6 4 6 4 6 6 0 6 0 6 0 6 4 6 4 6] [6 4 6 6 6 4 6 6 0 6 0 6 6 4 6 4 6 4 6 0 6 0] [0 6 0 6 6 6 0 6 6 4 6 4 6 6 0 6 0 6 0 6 4 6] [6 4 6 4 6 6 6 4 6 6 0 6 0 6 6 4 6 4 6 4 6 0] [0 6 0 6 0 6 6 6 0 6 6 4 6 4 6 6 0 6 0 6 0 6] [6 4 6 4 6 4 6 6 6 4 6 6 0 6 0 6 6 4 6 4 6 4] [6 6 0 6 0 6 0 6 6 6 0 6 6 4 6 4 6 6 0 6 0 6] [6 6 6 4 6 4 6 4 6 6 6 4 6 6 0 6 0 6 6 4 6 4] [6 6 6 6 0 6 0 6 0 6 6 6 0 6 6 4 6 4 6 6 0 6] [6 6 6 6 6 4 6 4 6 4 6 6 6 4 6 6 0 6 0 6 6 4] [6 6 6 6 6 6 0 6 0 6 0 6 6 6 0 6 6 4 6 4 6 6] [6 6 6 6 6 6 6 4 6 4 6 4 6 6 6 4 6 6 0 6 0 6] [6 6 6 6 6 6 6 6 0 6 0 6 0 6 6 6 0 6 6 4 6 4]]# [[7 9 7 7 7 9 7 7 7 9 7 9 7 7 9 7 9 7 7 7 7 9] [7 7 9 7 7 7 9 7 7 7 9 7 9 7 7 9 7 9 7 7 7 7] [9 7 7 9 7 7 7 9 7 7 7 9 7 9 7 7 9 7 9 7 7 7] [7 9 7 7 9 7 7 7 9 7 7 7 9 7 9 7 7 9 7 9 7 7] [9 7 9 7 7 9 7 7 7 9 7 7 7 9 7 9 7 7 9 7 9 7] [7 9 7 9 7 7 9 7 7 7 9 7 7 7 9 7 9 7 7 9 7 9] [7 7 9 7 9 7 7 9 7 7 7 9 7 7 7 9 7 9 7 7 9 7]] -> [[7 9 7 7 7 9 7 7 7 9 7 9 7 7 9 7 9 7 7 7 7 9] [7 7 4 7 7 7 4 7 7 7 4 7 4 7 7 4 7 4 7 7 7 7] [9 7 7 9 7 7 7 9 7 7 7 9 7 9 7 7 9 7 9 7 7 7] [7 4 7 7 4 7 7 7 4 7 7 7 4 7 4 7 7 4 7 4 7 7] [9 7 9 7 7 9 7 7 7 9 7 7 7 9 7 9 7 7 9 7 9 7] [7 4 7 4 7 7 4 7 7 7 4 7 7 7 4 7 4 7 7 4 7 4] [7 7 9 7 9 7 7 9 7 7 7 9 7 7 7 9 7 9 7 7 9 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] [8 8 8 8 8 8 8] [8 8 8 8 8 8 8] [8 8 8 8 8 8 8] [8 8 8 8 8 8 8] [8 8 8 8 8 8 8] [8 8 8 8 8 8 8] [2 8 8 8 8 8 8] [8 2 8 8 8 8 8] [8 8 2 8 8 8 8] [8 8 8 2 8 8 8] [8 8 8 8 2 8 8] [2 8 8 8 8 2 8] [8 2 8 8 8 8 2] [2 8 2 8 8 8 8] [8 2 8 2 8 8 8] [2 8 2 8 2 8 8] [8 2 8 2 8 2 8] [8 8 2 8 2 8 2] [8 8 8 2 8 2 8] [8 8 8 8 2 8 2] [8 8 8 8 8 2 8] [8 8 8 8 8 8 2] [2 8 8 8 8 8 8]] ->		[[8 8 8 8 8 8 8] [8 8 8 8 8 8 8] [8 8 8 8 8 8 8] [8 8 8 8 8 8 8] [8 8 8 8 8 8 8] [8 8 8 8 8 8 8] [8 8 8 8 8 8 8] [8 8 8 8 8 8 8] [8 8 8 8 8 8 8] [8 8 8 8 8 8 8] [8 8 8 8 8 8 8] [2 8 8 8 8 8 8] [8 4 8 8 8 8 8] [8 8 2 8 8 8 8] [8 8 8 4 8 8 8] [8 8 8 8 2 8 8] [2 8 8 8 8 4 8] [8 4 8 8 8 8 2] [2 8 2 8 8 8 8] [8 4 8 4 8 8 8] [2 8 2 8 2 8 8] [8 4 8 4 8 4 8] [8 8 2 8 2 8 2] [8 8 8 4 8 4 8] [8 8 8 8 2 8 2] [8 8 8 8 8 4 8] [8 8 8 8 8 8 2] [2 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: [[2 2 2 2 2 6 2 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2] [2 2 2 2 2 2 6 2 6 2 2 2 2 2 2 2 2 2 2 2 2 2] [2 2 2 2 2 2 2 6 2 6 2 2 2 2 2 2 2 2 2 2 2 2] [2 2 2 2 2 2 2 2 6 2 6 2 2 2 2 2 2 2 2 2 2 2] [2 2 2 2 2 2 2 2 2 6 2 6 2 2 2 2 2 2 2 2 2 2] [2 2 2 2 2 2 2 2 2 2 6 2 6 2 2 2 2 2 2 2 2 2] [2 2 2 2 2 2 2 2 2 2 2 6 2 6 2 2 2 2 2 2 2 2] [2 2 2 2 2 2 2 2 2 2 2 2 6 2 6 2 2 2 2 2 2 2] [2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 6 2 2 2 2 2 2] [2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 6 2 2 2 2 2] [2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 6 2 2 2 2] [2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 6 2 2 2] [2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 6 2 2] [2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 6 2] [2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 6] [6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2] [2 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6]] -> [[2 2 2 2 2 6 2 6 2 2 2 2 2 2 2 2 2 2 2 2 2 2] [2 2 2 2 2 2 4 2 4 2 2 2 2 2 2 2 2 2 2 2 2 2] [2 2 2 2 2 2 2 6 2 6 2 2 2 2 2 2 2 2 2 2 2 2] [2 2 2 2 2 2 2 2 4 2 4 2 2 2 2 2 2 2 2 2 2 2] [2 2 2 2 2 2 2 2 2 6 2 6 2 2 2 2 2 2 2 2 2 2] [2 2 2 2 2 2 2 2 2 2 4 2 4 2 2 2 2 2 2 2 2 2] [2 2 2 2 2 2 2 2 2 2 2 6 2 6 2 2 2 2 2 2 2 2] [2 2 2 2 2 2 2 2 2 2 2 2 4 2 4 2 2 2 2 2 2 2] [2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 6 2 2 2 2 2 2] [2 2 2 2 2 2 2 2 2 2 2 2 2 2 4 2 4 2 2 2 2 2] [2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 6 2 2 2 2] [2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 4 2 4 2 2 2] [2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 6 2 2] [2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 4 2 4 2] [2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6 2 6] [6 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 4 2] [2 4 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6]]# [[1 1 2 1 1 1 1 1] [1 1 1 2 1 1 1 1] [1 1 1 1 2 1 1 1] [1 1 1 1 1 2 1 1] [1 1 1 1 1 1 2 1] [1 1 1 1 1 1 1 2] [1 1 1 1 1 1 1 1]] -> [[1 1 2 1 1 1 1 1] [1 1 1 4 1 1 1 1] [1 1 1 1 2 1 1 1] [1 1 1 1 1 4 1 1] [1 1 1 1 1 1 2 1] [1 1 1 1 1 1 1 4] [1 1 1 1 1 1 1 1]]# There is a <image> shows all the examples before. Here is your test case: [[1 1 1 8 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1] [1 1 1 1 8 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1] [1 1 1 1 1 8 1 1 1 1 1 1 8 1 1 1 1 1 1 1] [1 1 1 1 1 1 8 1 1 1 1 1 1 8 1 1 1 1 1 1] [1 1 1 1 1 1 1 8 1 1 1 1 1 1 8 1 1 1 1 1] [1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 8 1 1 1 1] [1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 8 1 1 1] [1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 8 1 1] [1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 8 1] [1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 8] [1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1]] ->		[[1 1 1 8 1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1] [1 1 1 1 4 1 1 1 1 1 1 4 1 1 1 1 1 1 1 1] [1 1 1 1 1 8 1 1 1 1 1 1 8 1 1 1 1 1 1 1] [1 1 1 1 1 1 4 1 1 1 1 1 1 4 1 1 1 1 1 1] [1 1 1 1 1 1 1 8 1 1 1 1 1 1 8 1 1 1 1 1] [1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 4 1 1 1 1] [1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 8 1 1 1] [1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 4 1 1] [1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 1 1 1 8 1] [1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 4] [1 1 1 1 1 1 1 1 1 1 1 1 1 8 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: [[6 6 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 6 6] [6 6 6 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 6] [6 6 6 6 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2] [6 6 6 6 6 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6 6]] -> [[6 6 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2 6 6] [6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6] [6 6 6 6 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 2] [6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 2 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6]]# [[2 1 2 1 2 2 2 1 2 2 2 2 1 2 1 2 1 2 2 2 2 2 1 2] [2 2 1 2 1 2 2 2 1 2 2 2 2 1 2 1 2 1 2 2 2 2 2 1] [1 2 2 1 2 1 2 2 2 1 2 2 2 2 1 2 1 2 1 2 2 2 2 2] [2 1 2 2 1 2 1 2 2 2 1 2 2 2 2 1 2 1 2 1 2 2 2 2] [2 2 1 2 2 1 2 1 2 2 2 1 2 2 2 2 1 2 1 2 1 2 2 2] [1 2 2 1 2 2 1 2 1 2 2 2 1 2 2 2 2 1 2 1 2 1 2 2] [2 1 2 2 1 2 2 1 2 1 2 2 2 1 2 2 2 2 1 2 1 2 1 2] [1 2 1 2 2 1 2 2 1 2 1 2 2 2 1 2 2 2 2 1 2 1 2 1] [2 1 2 1 2 2 1 2 2 1 2 1 2 2 2 1 2 2 2 2 1 2 1 2] [1 2 1 2 1 2 2 1 2 2 1 2 1 2 2 2 1 2 2 2 2 1 2 1] [2 1 2 1 2 1 2 2 1 2 2 1 2 1 2 2 2 1 2 2 2 2 1 2] [2 2 1 2 1 2 1 2 2 1 2 2 1 2 1 2 2 2 1 2 2 2 2 1] [1 2 2 1 2 1 2 1 2 2 1 2 2 1 2 1 2 2 2 1 2 2 2 2] [2 1 2 2 1 2 1 2 1 2 2 1 2 2 1 2 1 2 2 2 1 2 2 2] [1 2 1 2 2 1 2 1 2 1 2 2 1 2 2 1 2 1 2 2 2 1 2 2] [2 1 2 1 2 2 1 2 1 2 1 2 2 1 2 2 1 2 1 2 2 2 1 2] [1 2 1 2 1 2 2 1 2 1 2 1 2 2 1 2 2 1 2 1 2 2 2 1] [2 1 2 1 2 1 2 2 1 2 1 2 1 2 2 1 2 2 1 2 1 2 2 2] [2 2 1 2 1 2 1 2 2 1 2 1 2 1 2 2 1 2 2 1 2 1 2 2]] -> [[2 1 2 1 2 2 2 1 2 2 2 2 1 2 1 2 1 2 2 2 2 2 1 2] [2 2 4 2 4 2 2 2 4 2 2 2 2 4 2 4 2 4 2 2 2 2 2 4] [1 2 2 1 2 1 2 2 2 1 2 2 2 2 1 2 1 2 1 2 2 2 2 2] [2 4 2 2 4 2 4 2 2 2 4 2 2 2 2 4 2 4 2 4 2 2 2 2] [2 2 1 2 2 1 2 1 2 2 2 1 2 2 2 2 1 2 1 2 1 2 2 2] [1 2 2 4 2 2 4 2 4 2 2 2 4 2 2 2 2 4 2 4 2 4 2 2] [2 4 2 2 1 2 2 1 2 1 2 2 2 1 2 2 2 2 1 2 1 2 1 2] [1 2 1 2 2 4 2 2 4 2 4 2 2 2 4 2 2 2 2 4 2 4 2 4] [2 4 2 4 2 2 1 2 2 1 2 1 2 2 2 1 2 2 2 2 1 2 1 2] [1 2 1 2 1 2 2 4 2 2 4 2 4 2 2 2 4 2 2 2 2 4 2 4] [2 4 2 4 2 4 2 2 1 2 2 1 2 1 2 2 2 1 2 2 2 2 1 2] [2 2 1 2 1 2 1 2 2 4 2 2 4 2 4 2 2 2 4 2 2 2 2 4] [1 2 2 4 2 4 2 4 2 2 1 2 2 1 2 1 2 2 2 1 2 2 2 2] [2 4 2 2 1 2 1 2 1 2 2 4 2 2 4 2 4 2 2 2 4 2 2 2] [1 2 1 2 2 4 2 4 2 4 2 2 1 2 2 1 2 1 2 2 2 1 2 2] [2 4 2 4 2 2 1 2 1 2 1 2 2 4 2 2 4 2 4 2 2 2 4 2] [1 2 1 2 1 2 2 4 2 4 2 4 2 2 1 2 2 1 2 1 2 2 2 1] [2 4 2 4 2 4 2 2 1 2 1 2 1 2 2 4 2 2 4 2 4 2 2 2] [2 2 1 2 1 2 1 2 2 4 2 4 2 4 2 2 1 2 2 1 2 1 2 2]]# [[7 0 7 7 0 7 7 7 7 7 7] [7 7 0 7 7 0 7 7 7 7 7] [0 7 7 0 7 7 0 7 7 7 7] [7 0 7 7 0 7 7 0 7 7 7] [7 7 0 7 7 0 7 7 0 7 7] [7 7 7 0 7 7 0 7 7 0 7] [0 7 7 7 0 7 7 0 7 7 0] [7 0 7 7 7 0 7 7 0 7 7] [7 7 0 7 7 7 0 7 7 0 7] [7 7 7 0 7 7 7 0 7 7 0] [7 7 7 7 0 7 7 7 0 7 7] [7 7 7 7 7 0 7 7 7 0 7] [7 7 7 7 7 7 0 7 7 7 0] [7 7 7 7 7 7 7 0 7 7 7] [7 7 7 7 7 7 7 7 0 7 7]] -> [[7 0 7 7 0 7 7 7 7 7 7] [7 7 4 7 7 4 7 7 7 7 7] [0 7 7 0 7 7 0 7 7 7 7] [7 4 7 7 4 7 7 4 7 7 7] [7 7 0 7 7 0 7 7 0 7 7] [7 7 7 4 7 7 4 7 7 4 7] [0 7 7 7 0 7 7 0 7 7 0] [7 4 7 7 7 4 7 7 4 7 7] [7 7 0 7 7 7 0 7 7 0 7] [7 7 7 4 7 7 7 4 7 7 4] [7 7 7 7 0 7 7 7 0 7 7] [7 7 7 7 7 4 7 7 7 4 7] [7 7 7 7 7 7 0 7 7 7 0] [7 7 7 7 7 7 7 4 7 7 7] [7 7 7 7 7 7 7 7 0 7 7]]# [[5 3 5 3 3 5 3 3 3 5 3 3 5 3 5 3] [3 5 3 5 3 3 5 3 3 3 5 3 3 5 3 5] [3 3 5 3 5 3 3 5 3 3 3 5 3 3 5 3] [3 3 3 5 3 5 3 3 5 3 3 3 5 3 3 5] [5 3 3 3 5 3 5 3 3 5 3 3 3 5 3 3] [3 5 3 3 3 5 3 5 3 3 5 3 3 3 5 3] [5 3 5 3 3 3 5 3 5 3 3 5 3 3 3 5] [3 5 3 5 3 3 3 5 3 5 3 3 5 3 3 3] [3 3 5 3 5 3 3 3 5 3 5 3 3 5 3 3] [3 3 3 5 3 5 3 3 3 5 3 5 3 3 5 3] [3 3 3 3 5 3 5 3 3 3 5 3 5 3 3 5] [3 3 3 3 3 5 3 5 3 3 3 5 3 5 3 3] [3 3 3 3 3 3 5 3 5 3 3 3 5 3 5 3] [5 3 3 3 3 3 3 5 3 5 3 3 3 5 3 5] [3 5 3 3 3 3 3 3 5 3 5 3 3 3 5 3] [3 3 5 3 3 3 3 3 3 5 3 5 3 3 3 5] [3 3 3 5 3 3 3 3 3 3 5 3 5 3 3 3] [3 3 3 3 5 3 3 3 3 3 3 5 3 5 3 3] [3 3 3 3 3 5 3 3 3 3 3 3 5 3 5 3] [5 3 3 3 3 3 5 3 3 3 3 3 3 5 3 5] [3 5 3 3 3 3 3 5 3 3 3 3 3 3 5 3] [3 3 5 3 3 3 3 3 5 3 3 3 3 3 3 5] [5 3 3 5 3 3 3 3 3 5 3 3 3 3 3 3]] -> [[5 3 5 3 3 5 3 3 3 5 3 3 5 3 5 3] [3 4 3 4 3 3 4 3 3 3 4 3 3 4 3 4] [3 3 5 3 5 3 3 5 3 3 3 5 3 3 5 3] [3 3 3 4 3 4 3 3 4 3 3 3 4 3 3 4] [5 3 3 3 5 3 5 3 3 5 3 3 3 5 3 3] [3 4 3 3 3 4 3 4 3 3 4 3 3 3 4 3] [5 3 5 3 3 3 5 3 5 3 3 5 3 3 3 5] [3 4 3 4 3 3 3 4 3 4 3 3 4 3 3 3] [3 3 5 3 5 3 3 3 5 3 5 3 3 5 3 3] [3 3 3 4 3 4 3 3 3 4 3 4 3 3 4 3] [3 3 3 3 5 3 5 3 3 3 5 3 5 3 3 5] [3 3 3 3 3 4 3 4 3 3 3 4 3 4 3 3] [3 3 3 3 3 3 5 3 5 3 3 3 5 3 5 3] [5 3 3 3 3 3 3 4 3 4 3 3 3 4 3 4] [3 4 3 3 3 3 3 3 5 3 5 3 3 3 5 3] [3 3 5 3 3 3 3 3 3 4 3 4 3 3 3 4] [3 3 3 4 3 3 3 3 3 3 5 3 5 3 3 3] [3 3 3 3 5 3 3 3 3 3 3 4 3 4 3 3] [3 3 3 3 3 4 3 3 3 3 3 3 5 3 5 3] [5 3 3 3 3 3 5 3 3 3 3 3 3 4 3 4] [3 4 3 3 3 3 3 4 3 3 3 3 3 3 5 3] [3 3 5 3 3 3 3 3 5 3 3 3 3 3 3 4] [5 3 3 4 3 3 3 3 3 4 3 3 3 3 3 3]]# [[2 7 7 2 7 7 7 7 2 7 2] [7 2 7 7 2 7 7 7 7 2 7] [7 7 2 7 7 2 7 7 7 7 2] [7 7 7 2 7 7 2 7 7 7 7] [2 7 7 7 2 7 7 2 7 7 7] [7 2 7 7 7 2 7 7 2 7 7] [7 7 2 7 7 7 2 7 7 2 7] [7 7 7 2 7 7 7 2 7 7 2]] -> [[2 7 7 2 7 7 7 7 2 7 2] [7 4 7 7 4 7 7 7 7 4 7] [7 7 2 7 7 2 7 7 7 7 2] [7 7 7 4 7 7 4 7 7 7 7] [2 7 7 7 2 7 7 2 7 7 7] [7 4 7 7 7 4 7 7 4 7 7] [7 7 2 7 7 7 2 7 7 2 7] [7 7 7 4 7 7 7 4 7 7 4]]# There is a <image> shows all the examples before. Here is your test case: [[7 2 7 2 7 7 2 7 7 7 7 7 7 2 7 2 7 7 2 7 7 7 7 7] [7 7 2 7 2 7 7 2 7 7 7 7 7 7 2 7 2 7 7 2 7 7 7 7] [7 7 7 2 7 2 7 7 2 7 7 7 7 7 7 2 7 2 7 7 2 7 7 7] [7 7 7 7 2 7 2 7 7 2 7 7 7 7 7 7 2 7 2 7 7 2 7 7] [7 7 7 7 7 2 7 2 7 7 2 7 7 7 7 7 7 2 7 2 7 7 2 7] [2 7 7 7 7 7 2 7 2 7 7 2 7 7 7 7 7 7 2 7 2 7 7 2] [7 2 7 7 7 7 7 2 7 2 7 7 2 7 7 7 7 7 7 2 7 2 7 7] [7 7 2 7 7 7 7 7 2 7 2 7 7 2 7 7 7 7 7 7 2 7 2 7] [7 7 7 2 7 7 7 7 7 2 7 2 7 7 2 7 7 7 7 7 7 2 7 2] [2 7 7 7 2 7 7 7 7 7 2 7 2 7 7 2 7 7 7 7 7 7 2 7] [7 2 7 7 7 2 7 7 7 7 7 2 7 2 7 7 2 7 7 7 7 7 7 2] [7 7 2 7 7 7 2 7 7 7 7 7 2 7 2 7 7 2 7 7 7 7 7 7] [7 7 7 2 7 7 7 2 7 7 7 7 7 2 7 2 7 7 2 7 7 7 7 7] [7 7 7 7 2 7 7 7 2 7 7 7 7 7 2 7 2 7 7 2 7 7 7 7] [7 7 7 7 7 2 7 7 7 2 7 7 7 7 7 2 7 2 7 7 2 7 7 7] [7 7 7 7 7 7 2 7 7 7 2 7 7 7 7 7 2 7 2 7 7 2 7 7] [7 7 7 7 7 7 7 2 7 7 7 2 7 7 7 7 7 2 7 2 7 7 2 7] [7 7 7 7 7 7 7 7 2 7 7 7 2 7 7 7 7 7 2 7 2 7 7 2] [2 7 7 7 7 7 7 7 7 2 7 7 7 2 7 7 7 7 7 2 7 2 7 7] [7 2 7 7 7 7 7 7 7 7 2 7 7 7 2 7 7 7 7 7 2 7 2 7] [7 7 2 7 7 7 7 7 7 7 7 2 7 7 7 2 7 7 7 7 7 2 7 2]] ->		[[7 2 7 2 7 7 2 7 7 7 7 7 7 2 7 2 7 7 2 7 7 7 7 7] [7 7 4 7 4 7 7 4 7 7 7 7 7 7 4 7 4 7 7 4 7 7 7 7] [7 7 7 2 7 2 7 7 2 7 7 7 7 7 7 2 7 2 7 7 2 7 7 7] [7 7 7 7 4 7 4 7 7 4 7 7 7 7 7 7 4 7 4 7 7 4 7 7] [7 7 7 7 7 2 7 2 7 7 2 7 7 7 7 7 7 2 7 2 7 7 2 7] [2 7 7 7 7 7 4 7 4 7 7 4 7 7 7 7 7 7 4 7 4 7 7 4] [7 4 7 7 7 7 7 2 7 2 7 7 2 7 7 7 7 7 7 2 7 2 7 7] [7 7 2 7 7 7 7 7 4 7 4 7 7 4 7 7 7 7 7 7 4 7 4 7] [7 7 7 4 7 7 7 7 7 2 7 2 7 7 2 7 7 7 7 7 7 2 7 2] [2 7 7 7 2 7 7 7 7 7 4 7 4 7 7 4 7 7 7 7 7 7 4 7] [7 4 7 7 7 4 7 7 7 7 7 2 7 2 7 7 2 7 7 7 7 7 7 2] [7 7 2 7 7 7 2 7 7 7 7 7 4 7 4 7 7 4 7 7 7 7 7 7] [7 7 7 4 7 7 7 4 7 7 7 7 7 2 7 2 7 7 2 7 7 7 7 7] [7 7 7 7 2 7 7 7 2 7 7 7 7 7 4 7 4 7 7 4 7 7 7 7] [7 7 7 7 7 4 7 7 7 4 7 7 7 7 7 2 7 2 7 7 2 7 7 7] [7 7 7 7 7 7 2 7 7 7 2 7 7 7 7 7 4 7 4 7 7 4 7 7] [7 7 7 7 7 7 7 4 7 7 7 4 7 7 7 7 7 2 7 2 7 7 2 7] [7 7 7 7 7 7 7 7 2 7 7 7 2 7 7 7 7 7 4 7 4 7 7 4] [2 7 7 7 7 7 7 7 7 4 7 7 7 4 7 7 7 7 7 2 7 2 7 7] [7 4 7 7 7 7 7 7 7 7 2 7 7 7 2 7 7 7 7 7 4 7 4 7] [7 7 2 7 7 7 7 7 7 7 7 4 7 7 7 4 7 7 7 7 7 2 7 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: [[3 3 3 2 3 2 3 3 2 3 3 3 2 3 3 3 3 3 3 3 2] [2 3 3 3 2 3 2 3 3 2 3 3 3 2 3 3 3 3 3 3 3] [3 2 3 3 3 2 3 2 3 3 2 3 3 3 2 3 3 3 3 3 3] [2 3 2 3 3 3 2 3 2 3 3 2 3 3 3 2 3 3 3 3 3] [3 2 3 2 3 3 3 2 3 2 3 3 2 3 3 3 2 3 3 3 3] [3 3 2 3 2 3 3 3 2 3 2 3 3 2 3 3 3 2 3 3 3] [3 3 3 2 3 2 3 3 3 2 3 2 3 3 2 3 3 3 2 3 3] [2 3 3 3 2 3 2 3 3 3 2 3 2 3 3 2 3 3 3 2 3]] -> [[3 3 3 2 3 2 3 3 2 3 3 3 2 3 3 3 3 3 3 3 2] [2 3 3 3 4 3 4 3 3 4 3 3 3 4 3 3 3 3 3 3 3] [3 4 3 3 3 2 3 2 3 3 2 3 3 3 2 3 3 3 3 3 3] [2 3 2 3 3 3 4 3 4 3 3 4 3 3 3 4 3 3 3 3 3] [3 4 3 4 3 3 3 2 3 2 3 3 2 3 3 3 2 3 3 3 3] [3 3 2 3 2 3 3 3 4 3 4 3 3 4 3 3 3 4 3 3 3] [3 3 3 4 3 4 3 3 3 2 3 2 3 3 2 3 3 3 2 3 3] [2 3 3 3 2 3 2 3 3 3 4 3 4 3 3 4 3 3 3 4 3]]# [[2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5 2 5 2 2 2 2 5 2] [5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5 2 5 2 2 2 2 5] [2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5 2 5 2 2 2 2] [2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5 2 5 2 2 2] [5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5 2 5 2 2] [2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5 2 5 2] [2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5 2 5] [2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5 2] [5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5] [2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2] [5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2] [2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2] [2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5] [5 2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2] [2 5 2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2] [5 2 5 2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5] [2 5 2 5 2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2] [2 2 5 2 5 2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2] [2 2 2 5 2 5 2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5] [2 2 2 2 5 2 5 2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2] [2 2 2 2 2 5 2 5 2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2] [2 2 2 2 2 2 5 2 5 2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5] [5 2 2 2 2 2 2 5 2 5 2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2] [2 5 2 2 2 2 2 2 5 2 5 2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5] [5 2 5 2 2 2 2 2 2 5 2 5 2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2] [2 5 2 5 2 2 2 2 2 2 5 2 5 2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2]] -> [[2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5 2 5 2 2 2 2 5 2] [5 2 4 2 2 2 4 2 4 2 2 4 2 2 4 2 2 4 2 2 2 4 2 4 2 2 2 2 4] [2 4 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5 2 5 2 2 2 2] [2 2 5 2 4 2 2 2 4 2 4 2 2 4 2 2 4 2 2 4 2 2 2 4 2 4 2 2 2] [5 2 2 4 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5 2 5 2 2] [2 4 2 2 5 2 4 2 2 2 4 2 4 2 2 4 2 2 4 2 2 4 2 2 2 4 2 4 2] [2 2 5 2 2 4 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5 2 5] [2 2 2 4 2 2 5 2 4 2 2 2 4 2 4 2 2 4 2 2 4 2 2 4 2 2 2 4 2] [5 2 2 2 5 2 2 4 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5] [2 4 2 2 2 4 2 2 5 2 4 2 2 2 4 2 4 2 2 4 2 2 4 2 2 4 2 2 2] [5 2 5 2 2 2 5 2 2 4 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2] [2 4 2 4 2 2 2 4 2 2 5 2 4 2 2 2 4 2 4 2 2 4 2 2 4 2 2 4 2] [2 2 5 2 5 2 2 2 5 2 2 4 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5] [5 2 2 4 2 4 2 2 2 4 2 2 5 2 4 2 2 2 4 2 4 2 2 4 2 2 4 2 2] [2 4 2 2 5 2 5 2 2 2 5 2 2 4 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2] [5 2 5 2 2 4 2 4 2 2 2 4 2 2 5 2 4 2 2 2 4 2 4 2 2 4 2 2 4] [2 4 2 4 2 2 5 2 5 2 2 2 5 2 2 4 2 5 2 2 2 5 2 5 2 2 5 2 2] [2 2 5 2 5 2 2 4 2 4 2 2 2 4 2 2 5 2 4 2 2 2 4 2 4 2 2 4 2] [2 2 2 4 2 4 2 2 5 2 5 2 2 2 5 2 2 4 2 5 2 2 2 5 2 5 2 2 5] [2 2 2 2 5 2 5 2 2 4 2 4 2 2 2 4 2 2 5 2 4 2 2 2 4 2 4 2 2] [2 2 2 2 2 4 2 4 2 2 5 2 5 2 2 2 5 2 2 4 2 5 2 2 2 5 2 5 2] [2 2 2 2 2 2 5 2 5 2 2 4 2 4 2 2 2 4 2 2 5 2 4 2 2 2 4 2 4] [5 2 2 2 2 2 2 4 2 4 2 2 5 2 5 2 2 2 5 2 2 4 2 5 2 2 2 5 2] [2 4 2 2 2 2 2 2 5 2 5 2 2 4 2 4 2 2 2 4 2 2 5 2 4 2 2 2 4] [5 2 5 2 2 2 2 2 2 4 2 4 2 2 5 2 5 2 2 2 5 2 2 4 2 5 2 2 2] [2 4 2 4 2 2 2 2 2 2 5 2 5 2 2 4 2 4 2 2 2 4 2 2 5 2 4 2 2]]# [[0 0 0 0 2 0 2 0 0 2 0 2 0 0 2 0 2 0 0 0 0] [0 0 0 0 0 2 0 2 0 0 2 0 2 0 0 2 0 2 0 0 0] [0 0 0 0 0 0 2 0 2 0 0 2 0 2 0 0 2 0 2 0 0] [0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 0 0 2 0 2 0] [0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 0 0 2 0 2] [0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 0 0 2 0] [2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 0 0 2] [0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 0 0] [2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 0] [0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2] [0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0] [0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2] [2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0] [0 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0] [0 0 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2] [2 0 0 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0] [0 2 0 0 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2] [0 0 2 0 0 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0] [2 0 0 2 0 0 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0] [0 2 0 0 2 0 0 2 0 0 0 2 0 2 0 0 0 0 0 0 0] [0 0 2 0 0 2 0 0 2 0 0 0 2 0 2 0 0 0 0 0 0] [0 0 0 2 0 0 2 0 0 2 0 0 0 2 0 2 0 0 0 0 0] [0 0 0 0 2 0 0 2 0 0 2 0 0 0 2 0 2 0 0 0 0] [0 0 0 0 0 2 0 0 2 0 0 2 0 0 0 2 0 2 0 0 0] [0 0 0 0 0 0 2 0 0 2 0 0 2 0 0 0 2 0 2 0 0] [2 0 0 0 0 0 0 2 0 0 2 0 0 2 0 0 0 2 0 2 0] [0 2 0 0 0 0 0 0 2 0 0 2 0 0 2 0 0 0 2 0 2]] -> [[0 0 0 0 2 0 2 0 0 2 0 2 0 0 2 0 2 0 0 0 0] [0 0 0 0 0 4 0 4 0 0 4 0 4 0 0 4 0 4 0 0 0] [0 0 0 0 0 0 2 0 2 0 0 2 0 2 0 0 2 0 2 0 0] [0 0 0 0 0 0 0 4 0 4 0 0 4 0 4 0 0 4 0 4 0] [0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 0 0 2 0 2] [0 0 0 0 0 0 0 0 0 4 0 4 0 0 4 0 4 0 0 4 0] [2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 0 0 2] [0 4 0 0 0 0 0 0 0 0 0 4 0 4 0 0 4 0 4 0 0] [2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0 2 0] [0 4 0 4 0 0 0 0 0 0 0 0 0 4 0 4 0 0 4 0 4] [0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0 2 0] [0 0 0 4 0 4 0 0 0 0 0 0 0 0 0 4 0 4 0 0 4] [2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2 0 0] [0 4 0 0 0 4 0 4 0 0 0 0 0 0 0 0 0 4 0 4 0] [0 0 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2 0 2] [2 0 0 4 0 0 0 4 0 4 0 0 0 0 0 0 0 0 0 4 0] [0 4 0 0 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 2] [0 0 2 0 0 4 0 0 0 4 0 4 0 0 0 0 0 0 0 0 0] [2 0 0 4 0 0 2 0 0 0 2 0 2 0 0 0 0 0 0 0 0] [0 4 0 0 2 0 0 4 0 0 0 4 0 4 0 0 0 0 0 0 0] [0 0 2 0 0 4 0 0 2 0 0 0 2 0 2 0 0 0 0 0 0] [0 0 0 4 0 0 2 0 0 4 0 0 0 4 0 4 0 0 0 0 0] [0 0 0 0 2 0 0 4 0 0 2 0 0 0 2 0 2 0 0 0 0] [0 0 0 0 0 4 0 0 2 0 0 4 0 0 0 4 0 4 0 0 0] [0 0 0 0 0 0 2 0 0 4 0 0 2 0 0 0 2 0 2 0 0] [2 0 0 0 0 0 0 4 0 0 2 0 0 4 0 0 0 4 0 4 0] [0 4 0 0 0 0 0 0 2 0 0 4 0 0 2 0 0 0 2 0 2]]# [[6 3 3 6 3 3 6 3 6] [3 6 3 3 6 3 3 6 3] [6 3 6 3 3 6 3 3 6] [3 6 3 6 3 3 6 3 3] [3 3 6 3 6 3 3 6 3] [3 3 3 6 3 6 3 3 6] [3 3 3 3 6 3 6 3 3] [6 3 3 3 3 6 3 6 3] [3 6 3 3 3 3 6 3 6] [6 3 6 3 3 3 3 6 3] [3 6 3 6 3 3 3 3 6] [3 3 6 3 6 3 3 3 3] [3 3 3 6 3 6 3 3 3] [3 3 3 3 6 3 6 3 3] [3 3 3 3 3 6 3 6 3] [3 3 3 3 3 3 6 3 6] [3 3 3 3 3 3 3 6 3] [6 3 3 3 3 3 3 3 6] [3 6 3 3 3 3 3 3 3] [6 3 6 3 3 3 3 3 3] [3 6 3 6 3 3 3 3 3] [6 3 6 3 6 3 3 3 3]] -> [[6 3 3 6 3 3 6 3 6] [3 4 3 3 4 3 3 4 3] [6 3 6 3 3 6 3 3 6] [3 4 3 4 3 3 4 3 3] [3 3 6 3 6 3 3 6 3] [3 3 3 4 3 4 3 3 4] [3 3 3 3 6 3 6 3 3] [6 3 3 3 3 4 3 4 3] [3 4 3 3 3 3 6 3 6] [6 3 6 3 3 3 3 4 3] [3 4 3 4 3 3 3 3 6] [3 3 6 3 6 3 3 3 3] [3 3 3 4 3 4 3 3 3] [3 3 3 3 6 3 6 3 3] [3 3 3 3 3 4 3 4 3] [3 3 3 3 3 3 6 3 6] [3 3 3 3 3 3 3 4 3] [6 3 3 3 3 3 3 3 6] [3 4 3 3 3 3 3 3 3] [6 3 6 3 3 3 3 3 3] [3 4 3 4 3 3 3 3 3] [6 3 6 3 6 3 3 3 3]]# [[0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 0 1 0] [0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 0 1] [1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 0] [0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0] [0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1] [0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0] [1 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1] [0 1 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0]] -> [[0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 0 1 0] [0 0 0 0 0 0 4 0 4 0 0 0 0 4 0 0 4 0 4 0 0 4] [1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1 0 0] [0 4 0 0 0 0 0 0 4 0 4 0 0 0 0 4 0 0 4 0 4 0] [0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1 0 1] [0 0 0 4 0 0 0 0 0 0 4 0 4 0 0 0 0 4 0 0 4 0] [1 0 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 1 0 0 1] [0 4 0 0 0 4 0 0 0 0 0 0 4 0 4 0 0 0 0 4 0 0]]# 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 8 1 1 1 8 1 8 1 1 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8 1 8 1 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8 1 8 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8 1 8 1 1 1] [8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8 1 8 1 1] [1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8 1 8 1] [1 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8 1 8] [1 1 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8 1] [1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8] [1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1] [1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1]] ->		[[1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8 1 8 1 1 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 4 1 4 1 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8 1 8 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 4 1 4 1 1 1] [8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8 1 8 1 1] [1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 4 1 4 1] [1 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8 1 8] [1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 4 1] [1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8] [1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1] [1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1]]
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: [[3 6 3 3 3 3 6 3 6 3 6 3 3 3 3 3] [3 3 6 3 3 3 3 6 3 6 3 6 3 3 3 3] [3 3 3 6 3 3 3 3 6 3 6 3 6 3 3 3] [3 3 3 3 6 3 3 3 3 6 3 6 3 6 3 3] [6 3 3 3 3 6 3 3 3 3 6 3 6 3 6 3] [3 6 3 3 3 3 6 3 3 3 3 6 3 6 3 6] [3 3 6 3 3 3 3 6 3 3 3 3 6 3 6 3] [3 3 3 6 3 3 3 3 6 3 3 3 3 6 3 6] [6 3 3 3 6 3 3 3 3 6 3 3 3 3 6 3] [3 6 3 3 3 6 3 3 3 3 6 3 3 3 3 6] [6 3 6 3 3 3 6 3 3 3 3 6 3 3 3 3] [3 6 3 6 3 3 3 6 3 3 3 3 6 3 3 3] [3 3 6 3 6 3 3 3 6 3 3 3 3 6 3 3] [3 3 3 6 3 6 3 3 3 6 3 3 3 3 6 3] [3 3 3 3 6 3 6 3 3 3 6 3 3 3 3 6] [3 3 3 3 3 6 3 6 3 3 3 6 3 3 3 3]] -> [[3 6 3 3 3 3 6 3 6 3 6 3 3 3 3 3] [3 3 4 3 3 3 3 4 3 4 3 4 3 3 3 3] [3 3 3 6 3 3 3 3 6 3 6 3 6 3 3 3] [3 3 3 3 4 3 3 3 3 4 3 4 3 4 3 3] [6 3 3 3 3 6 3 3 3 3 6 3 6 3 6 3] [3 4 3 3 3 3 4 3 3 3 3 4 3 4 3 4] [3 3 6 3 3 3 3 6 3 3 3 3 6 3 6 3] [3 3 3 4 3 3 3 3 4 3 3 3 3 4 3 4] [6 3 3 3 6 3 3 3 3 6 3 3 3 3 6 3] [3 4 3 3 3 4 3 3 3 3 4 3 3 3 3 4] [6 3 6 3 3 3 6 3 3 3 3 6 3 3 3 3] [3 4 3 4 3 3 3 4 3 3 3 3 4 3 3 3] [3 3 6 3 6 3 3 3 6 3 3 3 3 6 3 3] [3 3 3 4 3 4 3 3 3 4 3 3 3 3 4 3] [3 3 3 3 6 3 6 3 3 3 6 3 3 3 3 6] [3 3 3 3 3 4 3 4 3 3 3 4 3 3 3 3]]# [[0 0 0 0 9 0 0 9 0 0 0 9 0 9 0 0 9 0 0 0 0 0 9] [0 0 0 0 0 9 0 0 9 0 0 0 9 0 9 0 0 9 0 0 0 0 0] [9 0 0 0 0 0 9 0 0 9 0 0 0 9 0 9 0 0 9 0 0 0 0] [0 9 0 0 0 0 0 9 0 0 9 0 0 0 9 0 9 0 0 9 0 0 0] [0 0 9 0 0 0 0 0 9 0 0 9 0 0 0 9 0 9 0 0 9 0 0] [0 0 0 9 0 0 0 0 0 9 0 0 9 0 0 0 9 0 9 0 0 9 0] [0 0 0 0 9 0 0 0 0 0 9 0 0 9 0 0 0 9 0 9 0 0 9] [0 0 0 0 0 9 0 0 0 0 0 9 0 0 9 0 0 0 9 0 9 0 0] [9 0 0 0 0 0 9 0 0 0 0 0 9 0 0 9 0 0 0 9 0 9 0] [0 9 0 0 0 0 0 9 0 0 0 0 0 9 0 0 9 0 0 0 9 0 9] [0 0 9 0 0 0 0 0 9 0 0 0 0 0 9 0 0 9 0 0 0 9 0] [0 0 0 9 0 0 0 0 0 9 0 0 0 0 0 9 0 0 9 0 0 0 9] [0 0 0 0 9 0 0 0 0 0 9 0 0 0 0 0 9 0 0 9 0 0 0]] -> [[0 0 0 0 9 0 0 9 0 0 0 9 0 9 0 0 9 0 0 0 0 0 9] [0 0 0 0 0 4 0 0 4 0 0 0 4 0 4 0 0 4 0 0 0 0 0] [9 0 0 0 0 0 9 0 0 9 0 0 0 9 0 9 0 0 9 0 0 0 0] [0 4 0 0 0 0 0 4 0 0 4 0 0 0 4 0 4 0 0 4 0 0 0] [0 0 9 0 0 0 0 0 9 0 0 9 0 0 0 9 0 9 0 0 9 0 0] [0 0 0 4 0 0 0 0 0 4 0 0 4 0 0 0 4 0 4 0 0 4 0] [0 0 0 0 9 0 0 0 0 0 9 0 0 9 0 0 0 9 0 9 0 0 9] [0 0 0 0 0 4 0 0 0 0 0 4 0 0 4 0 0 0 4 0 4 0 0] [9 0 0 0 0 0 9 0 0 0 0 0 9 0 0 9 0 0 0 9 0 9 0] [0 4 0 0 0 0 0 4 0 0 0 0 0 4 0 0 4 0 0 0 4 0 4] [0 0 9 0 0 0 0 0 9 0 0 0 0 0 9 0 0 9 0 0 0 9 0] [0 0 0 4 0 0 0 0 0 4 0 0 0 0 0 4 0 0 4 0 0 0 4] [0 0 0 0 9 0 0 0 0 0 9 0 0 0 0 0 9 0 0 9 0 0 0]]# [[1 7 1 7 7 1 7 7 7 1 7 7 7 7 7 7 7 7 7 7 1 7 7 1 7 1 7] [7 1 7 1 7 7 1 7 7 7 1 7 7 7 7 7 7 7 7 7 7 1 7 7 1 7 1] [1 7 1 7 1 7 7 1 7 7 7 1 7 7 7 7 7 7 7 7 7 7 1 7 7 1 7] [7 1 7 1 7 1 7 7 1 7 7 7 1 7 7 7 7 7 7 7 7 7 7 1 7 7 1] [1 7 1 7 1 7 1 7 7 1 7 7 7 1 7 7 7 7 7 7 7 7 7 7 1 7 7]] -> [[1 7 1 7 7 1 7 7 7 1 7 7 7 7 7 7 7 7 7 7 1 7 7 1 7 1 7] [7 4 7 4 7 7 4 7 7 7 4 7 7 7 7 7 7 7 7 7 7 4 7 7 4 7 4] [1 7 1 7 1 7 7 1 7 7 7 1 7 7 7 7 7 7 7 7 7 7 1 7 7 1 7] [7 4 7 4 7 4 7 7 4 7 7 7 4 7 7 7 7 7 7 7 7 7 7 4 7 7 4] [1 7 1 7 1 7 1 7 7 1 7 7 7 1 7 7 7 7 7 7 7 7 7 7 1 7 7]]# [[9 8 8 9 8 8 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8] [8 9 8 8 9 8 8 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9] [8 8 9 8 8 9 8 8 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 9 8 8 9 8 8 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 9 8 8 9 8 8 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8] [9 8 8 8 8 9 8 8 9 8 8 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8] [8 9 8 8 8 8 9 8 8 9 8 8 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8] [8 8 9 8 8 8 8 9 8 8 9 8 8 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8] [9 8 8 9 8 8 8 8 9 8 8 9 8 8 9 8 8 8 8 8 9 8 8 8 8 8 8 8] [8 9 8 8 9 8 8 8 8 9 8 8 9 8 8 9 8 8 8 8 8 9 8 8 8 8 8 8] [8 8 9 8 8 9 8 8 8 8 9 8 8 9 8 8 9 8 8 8 8 8 9 8 8 8 8 8] [9 8 8 9 8 8 9 8 8 8 8 9 8 8 9 8 8 9 8 8 8 8 8 9 8 8 8 8] [8 9 8 8 9 8 8 9 8 8 8 8 9 8 8 9 8 8 9 8 8 8 8 8 9 8 8 8] [8 8 9 8 8 9 8 8 9 8 8 8 8 9 8 8 9 8 8 9 8 8 8 8 8 9 8 8] [9 8 8 9 8 8 9 8 8 9 8 8 8 8 9 8 8 9 8 8 9 8 8 8 8 8 9 8] [8 9 8 8 9 8 8 9 8 8 9 8 8 8 8 9 8 8 9 8 8 9 8 8 8 8 8 9] [8 8 9 8 8 9 8 8 9 8 8 9 8 8 8 8 9 8 8 9 8 8 9 8 8 8 8 8] [8 8 8 9 8 8 9 8 8 9 8 8 9 8 8 8 8 9 8 8 9 8 8 9 8 8 8 8] [9 8 8 8 9 8 8 9 8 8 9 8 8 9 8 8 8 8 9 8 8 9 8 8 9 8 8 8] [8 9 8 8 8 9 8 8 9 8 8 9 8 8 9 8 8 8 8 9 8 8 9 8 8 9 8 8] [8 8 9 8 8 8 9 8 8 9 8 8 9 8 8 9 8 8 8 8 9 8 8 9 8 8 9 8] [8 8 8 9 8 8 8 9 8 8 9 8 8 9 8 8 9 8 8 8 8 9 8 8 9 8 8 9] [8 8 8 8 9 8 8 8 9 8 8 9 8 8 9 8 8 9 8 8 8 8 9 8 8 9 8 8]] -> [[9 8 8 9 8 8 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8] [8 4 8 8 4 8 8 4 8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 4] [8 8 9 8 8 9 8 8 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 4 8 8 4 8 8 4 8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 9 8 8 9 8 8 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8] [9 8 8 8 8 4 8 8 4 8 8 4 8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8] [8 4 8 8 8 8 9 8 8 9 8 8 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8] [8 8 9 8 8 8 8 4 8 8 4 8 8 4 8 8 8 8 8 4 8 8 8 8 8 8 8 8] [9 8 8 4 8 8 8 8 9 8 8 9 8 8 9 8 8 8 8 8 9 8 8 8 8 8 8 8] [8 4 8 8 9 8 8 8 8 4 8 8 4 8 8 4 8 8 8 8 8 4 8 8 8 8 8 8] [8 8 9 8 8 4 8 8 8 8 9 8 8 9 8 8 9 8 8 8 8 8 9 8 8 8 8 8] [9 8 8 4 8 8 9 8 8 8 8 4 8 8 4 8 8 4 8 8 8 8 8 4 8 8 8 8] [8 4 8 8 9 8 8 4 8 8 8 8 9 8 8 9 8 8 9 8 8 8 8 8 9 8 8 8] [8 8 9 8 8 4 8 8 9 8 8 8 8 4 8 8 4 8 8 4 8 8 8 8 8 4 8 8] [9 8 8 4 8 8 9 8 8 4 8 8 8 8 9 8 8 9 8 8 9 8 8 8 8 8 9 8] [8 4 8 8 9 8 8 4 8 8 9 8 8 8 8 4 8 8 4 8 8 4 8 8 8 8 8 4] [8 8 9 8 8 4 8 8 9 8 8 4 8 8 8 8 9 8 8 9 8 8 9 8 8 8 8 8] [8 8 8 4 8 8 9 8 8 4 8 8 9 8 8 8 8 4 8 8 4 8 8 4 8 8 8 8] [9 8 8 8 9 8 8 4 8 8 9 8 8 4 8 8 8 8 9 8 8 9 8 8 9 8 8 8] [8 4 8 8 8 4 8 8 9 8 8 4 8 8 9 8 8 8 8 4 8 8 4 8 8 4 8 8] [8 8 9 8 8 8 9 8 8 4 8 8 9 8 8 4 8 8 8 8 9 8 8 9 8 8 9 8] [8 8 8 4 8 8 8 4 8 8 9 8 8 4 8 8 9 8 8 8 8 4 8 8 4 8 8 4] [8 8 8 8 9 8 8 8 9 8 8 4 8 8 9 8 8 4 8 8 8 8 9 8 8 9 8 8]]# [[9 9 9 9 9 9 9 5 9 5 9 5 9 9 9 5 9] [5 9 9 9 9 9 9 9 5 9 5 9 5 9 9 9 5] [9 5 9 9 9 9 9 9 9 5 9 5 9 5 9 9 9] [9 9 5 9 9 9 9 9 9 9 5 9 5 9 5 9 9] [5 9 9 5 9 9 9 9 9 9 9 5 9 5 9 5 9] [9 5 9 9 5 9 9 9 9 9 9 9 5 9 5 9 5] [5 9 5 9 9 5 9 9 9 9 9 9 9 5 9 5 9] [9 5 9 5 9 9 5 9 9 9 9 9 9 9 5 9 5]] -> [[9 9 9 9 9 9 9 5 9 5 9 5 9 9 9 5 9] [5 9 9 9 9 9 9 9 4 9 4 9 4 9 9 9 4] [9 4 9 9 9 9 9 9 9 5 9 5 9 5 9 9 9] [9 9 5 9 9 9 9 9 9 9 4 9 4 9 4 9 9] [5 9 9 4 9 9 9 9 9 9 9 5 9 5 9 5 9] [9 4 9 9 5 9 9 9 9 9 9 9 4 9 4 9 4] [5 9 5 9 9 4 9 9 9 9 9 9 9 5 9 5 9] [9 4 9 4 9 9 5 9 9 9 9 9 9 9 4 9 4]]# There is a <image> shows all the examples before. Here is your test case: [[0 0 1 0] [1 0 0 1] [0 1 0 0] [0 0 1 0] [1 0 0 1] [0 1 0 0] [0 0 1 0] [1 0 0 1] [0 1 0 0] [0 0 1 0] [0 0 0 1] [0 0 0 0] [1 0 0 0] [0 1 0 0] [0 0 1 0] [0 0 0 1] [0 0 0 0] [0 0 0 0] [1 0 0 0] [0 1 0 0] [1 0 1 0] [0 1 0 1] [0 0 1 0] [1 0 0 1]] ->		[[0 0 1 0] [1 0 0 4] [0 4 0 0] [0 0 1 0] [1 0 0 4] [0 4 0 0] [0 0 1 0] [1 0 0 4] [0 4 0 0] [0 0 1 0] [0 0 0 4] [0 0 0 0] [1 0 0 0] [0 4 0 0] [0 0 1 0] [0 0 0 4] [0 0 0 0] [0 0 0 0] [1 0 0 0] [0 4 0 0] [1 0 1 0] [0 4 0 4] [0 0 1 0] [1 0 0 4]]
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 6 6 6 3 6 6] [3 6 6 6 6 6 3 6] [6 3 6 6 6 6 6 3] [6 6 3 6 6 6 6 6] [6 6 6 3 6 6 6 6] [6 6 6 6 3 6 6 6] [3 6 6 6 6 3 6 6] [6 3 6 6 6 6 3 6]] -> [[6 6 6 6 6 3 6 6] [3 6 6 6 6 6 4 6] [6 4 6 6 6 6 6 3] [6 6 3 6 6 6 6 6] [6 6 6 4 6 6 6 6] [6 6 6 6 3 6 6 6] [3 6 6 6 6 4 6 6] [6 4 6 6 6 6 3 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] [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 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 1 0 0 0 0 0 0 0 0] [0 1 0 0 0 1 0 0 0 0 0 0 0] [0 0 1 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] [1 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 0 0 0 0 0 0 0 0 0] [0 0 0 4 0 0 0 0 0 0 0 0 0] [1 0 0 0 1 0 0 0 0 0 0 0 0] [0 4 0 0 0 4 0 0 0 0 0 0 0] [0 0 1 0 0 0 1 0 0 0 0 0 0]]# [[2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9 2 2 9 2 2 2 2 2] [2 2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9 2 2 9 2 2 2 2] [2 2 2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9 2 2 9 2 2 2] [9 2 2 2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9 2 2 9 2 2] [2 9 2 2 2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9 2 2 9 2] [2 2 9 2 2 2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9 2 2 9] [2 2 2 9 2 2 2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9 2 2] [2 2 2 2 9 2 2 2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9 2] [9 2 2 2 2 9 2 2 2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9]] -> [[2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9 2 2 9 2 2 2 2 2] [2 2 2 2 2 2 2 4 2 2 2 2 4 2 2 2 2 4 2 4 2 2 4 2 2 2 2] [2 2 2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9 2 2 9 2 2 2] [9 2 2 2 2 2 2 2 2 4 2 2 2 2 4 2 2 2 2 4 2 4 2 2 4 2 2] [2 4 2 2 2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9 2 2 9 2] [2 2 9 2 2 2 2 2 2 2 2 4 2 2 2 2 4 2 2 2 2 4 2 4 2 2 4] [2 2 2 4 2 2 2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9 2 2] [2 2 2 2 9 2 2 2 2 2 2 2 2 4 2 2 2 2 4 2 2 2 2 4 2 4 2] [9 2 2 2 2 4 2 2 2 2 2 2 2 2 9 2 2 2 2 9 2 2 2 2 9 2 9]]# [[3 5 5 5 5] [5 3 5 5 5] [5 5 3 5 5] [5 5 5 3 5] [5 5 5 5 3] [5 5 5 5 5] [5 5 5 5 5] [5 5 5 5 5] [5 5 5 5 5] [5 5 5 5 5]] -> [[3 5 5 5 5] [5 4 5 5 5] [5 5 3 5 5] [5 5 5 4 5] [5 5 5 5 3] [5 5 5 5 5] [5 5 5 5 5] [5 5 5 5 5] [5 5 5 5 5] [5 5 5 5 5]]# [[3 0 0 0 0 0] [0 3 0 0 0 0] [0 0 3 0 0 0] [0 0 0 3 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] [0 0 0 0 0 0] [0 0 0 0 0 0] [0 0 0 0 0 0] [0 0 0 0 0 0] [0 0 0 0 0 0] [0 0 0 0 0 0] [3 0 0 0 0 0] [0 3 0 0 0 0] [0 0 3 0 0 0] [0 0 0 3 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] [0 0 0 0 0 0]] -> [[3 0 0 0 0 0] [0 4 0 0 0 0] [0 0 3 0 0 0] [0 0 0 4 0 0] [0 0 0 0 3 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] [3 0 0 0 0 0] [0 4 0 0 0 0] [0 0 3 0 0 0] [0 0 0 4 0 0] [0 0 0 0 3 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]]# There is a <image> shows all the examples before. Here is your test case: [[1 6 1 1 1 1 1 1 6 1] [6 1 6 1 1 1 1 1 1 6] [1 6 1 6 1 1 1 1 1 1] [1 1 6 1 6 1 1 1 1 1] [6 1 1 6 1 6 1 1 1 1] [1 6 1 1 6 1 6 1 1 1] [1 1 6 1 1 6 1 6 1 1] [6 1 1 6 1 1 6 1 6 1] [1 6 1 1 6 1 1 6 1 6] [1 1 6 1 1 6 1 1 6 1] [1 1 1 6 1 1 6 1 1 6] [1 1 1 1 6 1 1 6 1 1] [1 1 1 1 1 6 1 1 6 1] [1 1 1 1 1 1 6 1 1 6] [1 1 1 1 1 1 1 6 1 1] [6 1 1 1 1 1 1 1 6 1] [1 6 1 1 1 1 1 1 1 6] [6 1 6 1 1 1 1 1 1 1] [1 6 1 6 1 1 1 1 1 1] [1 1 6 1 6 1 1 1 1 1] [1 1 1 6 1 6 1 1 1 1] [6 1 1 1 6 1 6 1 1 1] [1 6 1 1 1 6 1 6 1 1] [1 1 6 1 1 1 6 1 6 1] [1 1 1 6 1 1 1 6 1 6] [1 1 1 1 6 1 1 1 6 1]] ->		[[1 6 1 1 1 1 1 1 6 1] [6 1 4 1 1 1 1 1 1 4] [1 4 1 6 1 1 1 1 1 1] [1 1 6 1 4 1 1 1 1 1] [6 1 1 4 1 6 1 1 1 1] [1 4 1 1 6 1 4 1 1 1] [1 1 6 1 1 4 1 6 1 1] [6 1 1 4 1 1 6 1 4 1] [1 4 1 1 6 1 1 4 1 6] [1 1 6 1 1 4 1 1 6 1] [1 1 1 4 1 1 6 1 1 4] [1 1 1 1 6 1 1 4 1 1] [1 1 1 1 1 4 1 1 6 1] [1 1 1 1 1 1 6 1 1 4] [1 1 1 1 1 1 1 4 1 1] [6 1 1 1 1 1 1 1 6 1] [1 4 1 1 1 1 1 1 1 4] [6 1 6 1 1 1 1 1 1 1] [1 4 1 4 1 1 1 1 1 1] [1 1 6 1 6 1 1 1 1 1] [1 1 1 4 1 4 1 1 1 1] [6 1 1 1 6 1 6 1 1 1] [1 4 1 1 1 4 1 4 1 1] [1 1 6 1 1 1 6 1 6 1] [1 1 1 4 1 1 1 4 1 4] [1 1 1 1 6 1 1 1 6 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: [[6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6] [6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6] [6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6] [6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 9] [6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6]] -> [[6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6] [6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6] [6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6] [6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 4] [6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 9 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6]]# [[6 6 6 1 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 1 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 1 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 1 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 1 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 1 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 1 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 1 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 1 6 6 6]] -> [[6 6 6 1 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 4 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 1 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 4 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 1 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 4 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 1 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 4 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 1 6 6 6]]# There is a <image> shows all the examples before. Here is your test case: [[1 5 1 1 1 5 1 1 1 5 1 1] [1 1 5 1 1 1 5 1 1 1 5 1] [1 1 1 5 1 1 1 5 1 1 1 5] [1 1 1 1 5 1 1 1 5 1 1 1] [5 1 1 1 1 5 1 1 1 5 1 1] [1 5 1 1 1 1 5 1 1 1 5 1] [1 1 5 1 1 1 1 5 1 1 1 5] [1 1 1 5 1 1 1 1 5 1 1 1] [1 1 1 1 5 1 1 1 1 5 1 1] [1 1 1 1 1 5 1 1 1 1 5 1] [1 1 1 1 1 1 5 1 1 1 1 5] [1 1 1 1 1 1 1 5 1 1 1 1] [5 1 1 1 1 1 1 1 5 1 1 1] [1 5 1 1 1 1 1 1 1 5 1 1] [1 1 5 1 1 1 1 1 1 1 5 1] [1 1 1 5 1 1 1 1 1 1 1 5] [1 1 1 1 5 1 1 1 1 1 1 1] [5 1 1 1 1 5 1 1 1 1 1 1] [1 5 1 1 1 1 5 1 1 1 1 1]] ->		[[1 5 1 1 1 5 1 1 1 5 1 1] [1 1 4 1 1 1 4 1 1 1 4 1] [1 1 1 5 1 1 1 5 1 1 1 5] [1 1 1 1 4 1 1 1 4 1 1 1] [5 1 1 1 1 5 1 1 1 5 1 1] [1 4 1 1 1 1 4 1 1 1 4 1] [1 1 5 1 1 1 1 5 1 1 1 5] [1 1 1 4 1 1 1 1 4 1 1 1] [1 1 1 1 5 1 1 1 1 5 1 1] [1 1 1 1 1 4 1 1 1 1 4 1] [1 1 1 1 1 1 5 1 1 1 1 5] [1 1 1 1 1 1 1 4 1 1 1 1] [5 1 1 1 1 1 1 1 5 1 1 1] [1 4 1 1 1 1 1 1 1 4 1 1] [1 1 5 1 1 1 1 1 1 1 5 1] [1 1 1 4 1 1 1 1 1 1 1 4] [1 1 1 1 5 1 1 1 1 1 1 1] [5 1 1 1 1 4 1 1 1 1 1 1] [1 4 1 1 1 1 5 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: [[8 8 8 8 7 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 7 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 7 8 8 8 8 8 8 8] [7 8 8 8 8 8 8 7 8 8 8 8 8 8] [8 7 8 8 8 8 8 8 7 8 8 8 8 8] [8 8 7 8 8 8 8 8 8 7 8 8 8 8] [8 8 8 7 8 8 8 8 8 8 7 8 8 8] [8 8 8 8 7 8 8 8 8 8 8 7 8 8] [8 8 8 8 8 7 8 8 8 8 8 8 7 8] [8 8 8 8 8 8 7 8 8 8 8 8 8 7] [8 8 8 8 8 8 8 7 8 8 8 8 8 8] [8 8 8 8 8 8 8 8 7 8 8 8 8 8] [8 8 8 8 8 8 8 8 8 7 8 8 8 8] [8 8 8 8 8 8 8 8 8 8 7 8 8 8] [8 8 8 8 8 8 8 8 8 8 8 7 8 8] [8 8 8 8 8 8 8 8 8 8 8 8 7 8] [8 8 8 8 8 8 8 8 8 8 8 8 8 7] [7 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 7 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 7 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 7 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 7 8 8 8 8 8 8 8 8 8] [7 8 8 8 8 7 8 8 8 8 8 8 8 8]] -> [[8 8 8 8 7 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 4 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 7 8 8 8 8 8 8 8] [7 8 8 8 8 8 8 4 8 8 8 8 8 8] [8 4 8 8 8 8 8 8 7 8 8 8 8 8] [8 8 7 8 8 8 8 8 8 4 8 8 8 8] [8 8 8 4 8 8 8 8 8 8 7 8 8 8] [8 8 8 8 7 8 8 8 8 8 8 4 8 8] [8 8 8 8 8 4 8 8 8 8 8 8 7 8] [8 8 8 8 8 8 7 8 8 8 8 8 8 4] [8 8 8 8 8 8 8 4 8 8 8 8 8 8] [8 8 8 8 8 8 8 8 7 8 8 8 8 8] [8 8 8 8 8 8 8 8 8 4 8 8 8 8] [8 8 8 8 8 8 8 8 8 8 7 8 8 8] [8 8 8 8 8 8 8 8 8 8 8 4 8 8] [8 8 8 8 8 8 8 8 8 8 8 8 7 8] [8 8 8 8 8 8 8 8 8 8 8 8 8 4] [7 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 4 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 7 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 4 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 7 8 8 8 8 8 8 8 8 8] [7 8 8 8 8 4 8 8 8 8 8 8 8 8]]# [[2 2 2 2 2 2 2 2 2 2 2 2 3 2 2] [2 2 2 2 2 2 2 2 2 2 2 2 2 3 2] [2 2 2 2 2 2 2 2 2 2 2 2 2 2 3] [2 2 2 2 2 2 2 2 2 2 2 2 2 2 2] [2 2 2 2 2 2 2 2 2 2 2 2 2 2 2] [2 2 2 2 2 2 2 2 2 2 2 2 2 2 2]] -> [[2 2 2 2 2 2 2 2 2 2 2 2 3 2 2] [2 2 2 2 2 2 2 2 2 2 2 2 2 4 2] [2 2 2 2 2 2 2 2 2 2 2 2 2 2 3] [2 2 2 2 2 2 2 2 2 2 2 2 2 2 2] [2 2 2 2 2 2 2 2 2 2 2 2 2 2 2] [2 2 2 2 2 2 2 2 2 2 2 2 2 2 2]]# [[3 6 3 6 3 3 3 3 6 3 3 3 3 6 3 6 3 3 3 3 6] [3 3 6 3 6 3 3 3 3 6 3 3 3 3 6 3 6 3 3 3 3] [3 3 3 6 3 6 3 3 3 3 6 3 3 3 3 6 3 6 3 3 3] [3 3 3 3 6 3 6 3 3 3 3 6 3 3 3 3 6 3 6 3 3] [3 3 3 3 3 6 3 6 3 3 3 3 6 3 3 3 3 6 3 6 3] [6 3 3 3 3 3 6 3 6 3 3 3 3 6 3 3 3 3 6 3 6] [3 6 3 3 3 3 3 6 3 6 3 3 3 3 6 3 3 3 3 6 3] [3 3 6 3 3 3 3 3 6 3 6 3 3 3 3 6 3 3 3 3 6] [3 3 3 6 3 3 3 3 3 6 3 6 3 3 3 3 6 3 3 3 3] [6 3 3 3 6 3 3 3 3 3 6 3 6 3 3 3 3 6 3 3 3] [3 6 3 3 3 6 3 3 3 3 3 6 3 6 3 3 3 3 6 3 3] [3 3 6 3 3 3 6 3 3 3 3 3 6 3 6 3 3 3 3 6 3] [3 3 3 6 3 3 3 6 3 3 3 3 3 6 3 6 3 3 3 3 6] [6 3 3 3 6 3 3 3 6 3 3 3 3 3 6 3 6 3 3 3 3]] -> [[3 6 3 6 3 3 3 3 6 3 3 3 3 6 3 6 3 3 3 3 6] [3 3 4 3 4 3 3 3 3 4 3 3 3 3 4 3 4 3 3 3 3] [3 3 3 6 3 6 3 3 3 3 6 3 3 3 3 6 3 6 3 3 3] [3 3 3 3 4 3 4 3 3 3 3 4 3 3 3 3 4 3 4 3 3] [3 3 3 3 3 6 3 6 3 3 3 3 6 3 3 3 3 6 3 6 3] [6 3 3 3 3 3 4 3 4 3 3 3 3 4 3 3 3 3 4 3 4] [3 4 3 3 3 3 3 6 3 6 3 3 3 3 6 3 3 3 3 6 3] [3 3 6 3 3 3 3 3 4 3 4 3 3 3 3 4 3 3 3 3 4] [3 3 3 4 3 3 3 3 3 6 3 6 3 3 3 3 6 3 3 3 3] [6 3 3 3 6 3 3 3 3 3 4 3 4 3 3 3 3 4 3 3 3] [3 4 3 3 3 4 3 3 3 3 3 6 3 6 3 3 3 3 6 3 3] [3 3 6 3 3 3 6 3 3 3 3 3 4 3 4 3 3 3 3 4 3] [3 3 3 4 3 3 3 4 3 3 3 3 3 6 3 6 3 3 3 3 6] [6 3 3 3 6 3 3 3 6 3 3 3 3 3 4 3 4 3 3 3 3]]# [[3 5 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3] [3 3 5 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3] [3 3 3 5 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3] [3 3 3 3 5 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3] [5 3 3 3 3 5 3 3 3 3 3 3 3 3 5 3 3 3 3 3]] -> [[3 5 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 3 3] [3 3 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3] [3 3 3 5 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3] [3 3 3 3 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3] [5 3 3 3 3 5 3 3 3 3 3 3 3 3 5 3 3 3 3 3]]# There is a <image> shows all the examples before. Here is your test case: [[3 3 3 3 3 9 3 9 3 3 3 9 3 3 3 9 3] [9 3 3 3 3 3 9 3 9 3 3 3 9 3 3 3 9] [3 9 3 3 3 3 3 9 3 9 3 3 3 9 3 3 3] [3 3 9 3 3 3 3 3 9 3 9 3 3 3 9 3 3] [3 3 3 9 3 3 3 3 3 9 3 9 3 3 3 9 3] [3 3 3 3 9 3 3 3 3 3 9 3 9 3 3 3 9] [3 3 3 3 3 9 3 3 3 3 3 9 3 9 3 3 3] [9 3 3 3 3 3 9 3 3 3 3 3 9 3 9 3 3] [3 9 3 3 3 3 3 9 3 3 3 3 3 9 3 9 3] [3 3 9 3 3 3 3 3 9 3 3 3 3 3 9 3 9] [3 3 3 9 3 3 3 3 3 9 3 3 3 3 3 9 3] [3 3 3 3 9 3 3 3 3 3 9 3 3 3 3 3 9] [3 3 3 3 3 9 3 3 3 3 3 9 3 3 3 3 3] [3 3 3 3 3 3 9 3 3 3 3 3 9 3 3 3 3] [3 3 3 3 3 3 3 9 3 3 3 3 3 9 3 3 3] [9 3 3 3 3 3 3 3 9 3 3 3 3 3 9 3 3] [3 9 3 3 3 3 3 3 3 9 3 3 3 3 3 9 3] [9 3 9 3 3 3 3 3 3 3 9 3 3 3 3 3 9] [3 9 3 9 3 3 3 3 3 3 3 9 3 3 3 3 3] [3 3 9 3 9 3 3 3 3 3 3 3 9 3 3 3 3] [3 3 3 9 3 9 3 3 3 3 3 3 3 9 3 3 3] [3 3 3 3 9 3 9 3 3 3 3 3 3 3 9 3 3] [3 3 3 3 3 9 3 9 3 3 3 3 3 3 3 9 3] [3 3 3 3 3 3 9 3 9 3 3 3 3 3 3 3 9] [3 3 3 3 3 3 3 9 3 9 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 9 3 9 3 3 3 3 3 3] [9 3 3 3 3 3 3 3 3 9 3 9 3 3 3 3 3] [3 9 3 3 3 3 3 3 3 3 9 3 9 3 3 3 3]] ->		[[3 3 3 3 3 9 3 9 3 3 3 9 3 3 3 9 3] [9 3 3 3 3 3 4 3 4 3 3 3 4 3 3 3 4] [3 4 3 3 3 3 3 9 3 9 3 3 3 9 3 3 3] [3 3 9 3 3 3 3 3 4 3 4 3 3 3 4 3 3] [3 3 3 4 3 3 3 3 3 9 3 9 3 3 3 9 3] [3 3 3 3 9 3 3 3 3 3 4 3 4 3 3 3 4] [3 3 3 3 3 4 3 3 3 3 3 9 3 9 3 3 3] [9 3 3 3 3 3 9 3 3 3 3 3 4 3 4 3 3] [3 4 3 3 3 3 3 4 3 3 3 3 3 9 3 9 3] [3 3 9 3 3 3 3 3 9 3 3 3 3 3 4 3 4] [3 3 3 4 3 3 3 3 3 4 3 3 3 3 3 9 3] [3 3 3 3 9 3 3 3 3 3 9 3 3 3 3 3 4] [3 3 3 3 3 4 3 3 3 3 3 4 3 3 3 3 3] [3 3 3 3 3 3 9 3 3 3 3 3 9 3 3 3 3] [3 3 3 3 3 3 3 4 3 3 3 3 3 4 3 3 3] [9 3 3 3 3 3 3 3 9 3 3 3 3 3 9 3 3] [3 4 3 3 3 3 3 3 3 4 3 3 3 3 3 4 3] [9 3 9 3 3 3 3 3 3 3 9 3 3 3 3 3 9] [3 4 3 4 3 3 3 3 3 3 3 4 3 3 3 3 3] [3 3 9 3 9 3 3 3 3 3 3 3 9 3 3 3 3] [3 3 3 4 3 4 3 3 3 3 3 3 3 4 3 3 3] [3 3 3 3 9 3 9 3 3 3 3 3 3 3 9 3 3] [3 3 3 3 3 4 3 4 3 3 3 3 3 3 3 4 3] [3 3 3 3 3 3 9 3 9 3 3 3 3 3 3 3 9] [3 3 3 3 3 3 3 4 3 4 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 9 3 9 3 3 3 3 3 3] [9 3 3 3 3 3 3 3 3 4 3 4 3 3 3 3 3] [3 4 3 3 3 3 3 3 3 3 9 3 9 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: [[3 3 0 3 0 3 3 0 3 3 0 3 3 0 3 0 3 3 0 3 3 3 3 0 3] [3 3 3 0 3 0 3 3 0 3 3 0 3 3 0 3 0 3 3 0 3 3 3 3 0] [0 3 3 3 0 3 0 3 3 0 3 3 0 3 3 0 3 0 3 3 0 3 3 3 3] [3 0 3 3 3 0 3 0 3 3 0 3 3 0 3 3 0 3 0 3 3 0 3 3 3] [3 3 0 3 3 3 0 3 0 3 3 0 3 3 0 3 3 0 3 0 3 3 0 3 3] [3 3 3 0 3 3 3 0 3 0 3 3 0 3 3 0 3 3 0 3 0 3 3 0 3] [3 3 3 3 0 3 3 3 0 3 0 3 3 0 3 3 0 3 3 0 3 0 3 3 0] [3 3 3 3 3 0 3 3 3 0 3 0 3 3 0 3 3 0 3 3 0 3 0 3 3] [3 3 3 3 3 3 0 3 3 3 0 3 0 3 3 0 3 3 0 3 3 0 3 0 3] [3 3 3 3 3 3 3 0 3 3 3 0 3 0 3 3 0 3 3 0 3 3 0 3 0] [0 3 3 3 3 3 3 3 0 3 3 3 0 3 0 3 3 0 3 3 0 3 3 0 3] [3 0 3 3 3 3 3 3 3 0 3 3 3 0 3 0 3 3 0 3 3 0 3 3 0] [3 3 0 3 3 3 3 3 3 3 0 3 3 3 0 3 0 3 3 0 3 3 0 3 3] [3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 0 3 0 3 3 0 3 3 0 3] [3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 0 3 0 3 3 0 3 3 0] [0 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 0 3 0 3 3 0 3 3] [3 0 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 0 3 0 3 3 0 3]] -> [[3 3 0 3 0 3 3 0 3 3 0 3 3 0 3 0 3 3 0 3 3 3 3 0 3] [3 3 3 4 3 4 3 3 4 3 3 4 3 3 4 3 4 3 3 4 3 3 3 3 4] [0 3 3 3 0 3 0 3 3 0 3 3 0 3 3 0 3 0 3 3 0 3 3 3 3] [3 4 3 3 3 4 3 4 3 3 4 3 3 4 3 3 4 3 4 3 3 4 3 3 3] [3 3 0 3 3 3 0 3 0 3 3 0 3 3 0 3 3 0 3 0 3 3 0 3 3] [3 3 3 4 3 3 3 4 3 4 3 3 4 3 3 4 3 3 4 3 4 3 3 4 3] [3 3 3 3 0 3 3 3 0 3 0 3 3 0 3 3 0 3 3 0 3 0 3 3 0] [3 3 3 3 3 4 3 3 3 4 3 4 3 3 4 3 3 4 3 3 4 3 4 3 3] [3 3 3 3 3 3 0 3 3 3 0 3 0 3 3 0 3 3 0 3 3 0 3 0 3] [3 3 3 3 3 3 3 4 3 3 3 4 3 4 3 3 4 3 3 4 3 3 4 3 4] [0 3 3 3 3 3 3 3 0 3 3 3 0 3 0 3 3 0 3 3 0 3 3 0 3] [3 4 3 3 3 3 3 3 3 4 3 3 3 4 3 4 3 3 4 3 3 4 3 3 4] [3 3 0 3 3 3 3 3 3 3 0 3 3 3 0 3 0 3 3 0 3 3 0 3 3] [3 3 3 4 3 3 3 3 3 3 3 4 3 3 3 4 3 4 3 3 4 3 3 4 3] [3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 0 3 0 3 3 0 3 3 0] [0 3 3 3 3 4 3 3 3 3 3 3 3 4 3 3 3 4 3 4 3 3 4 3 3] [3 4 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 0 3 0 3 3 0 3]]# [[8 8 7 8 8 8 8 8 8 7 8 7 8 8 8] [7 8 8 7 8 8 8 8 8 8 7 8 7 8 8] [8 7 8 8 7 8 8 8 8 8 8 7 8 7 8] [7 8 7 8 8 7 8 8 8 8 8 8 7 8 7] [8 7 8 7 8 8 7 8 8 8 8 8 8 7 8] [7 8 7 8 7 8 8 7 8 8 8 8 8 8 7] [8 7 8 7 8 7 8 8 7 8 8 8 8 8 8] [7 8 7 8 7 8 7 8 8 7 8 8 8 8 8] [8 7 8 7 8 7 8 7 8 8 7 8 8 8 8] [7 8 7 8 7 8 7 8 7 8 8 7 8 8 8] [8 7 8 7 8 7 8 7 8 7 8 8 7 8 8] [8 8 7 8 7 8 7 8 7 8 7 8 8 7 8] [8 8 8 7 8 7 8 7 8 7 8 7 8 8 7] [8 8 8 8 7 8 7 8 7 8 7 8 7 8 8] [8 8 8 8 8 7 8 7 8 7 8 7 8 7 8] [8 8 8 8 8 8 7 8 7 8 7 8 7 8 7] [7 8 8 8 8 8 8 7 8 7 8 7 8 7 8] [8 7 8 8 8 8 8 8 7 8 7 8 7 8 7] [8 8 7 8 8 8 8 8 8 7 8 7 8 7 8] [8 8 8 7 8 8 8 8 8 8 7 8 7 8 7] [7 8 8 8 7 8 8 8 8 8 8 7 8 7 8] [8 7 8 8 8 7 8 8 8 8 8 8 7 8 7] [8 8 7 8 8 8 7 8 8 8 8 8 8 7 8] [8 8 8 7 8 8 8 7 8 8 8 8 8 8 7] [8 8 8 8 7 8 8 8 7 8 8 8 8 8 8] [7 8 8 8 8 7 8 8 8 7 8 8 8 8 8] [8 7 8 8 8 8 7 8 8 8 7 8 8 8 8]] -> [[8 8 7 8 8 8 8 8 8 7 8 7 8 8 8] [7 8 8 4 8 8 8 8 8 8 4 8 4 8 8] [8 4 8 8 7 8 8 8 8 8 8 7 8 7 8] [7 8 7 8 8 4 8 8 8 8 8 8 4 8 4] [8 4 8 4 8 8 7 8 8 8 8 8 8 7 8] [7 8 7 8 7 8 8 4 8 8 8 8 8 8 4] [8 4 8 4 8 4 8 8 7 8 8 8 8 8 8] [7 8 7 8 7 8 7 8 8 4 8 8 8 8 8] [8 4 8 4 8 4 8 4 8 8 7 8 8 8 8] [7 8 7 8 7 8 7 8 7 8 8 4 8 8 8] [8 4 8 4 8 4 8 4 8 4 8 8 7 8 8] [8 8 7 8 7 8 7 8 7 8 7 8 8 4 8] [8 8 8 4 8 4 8 4 8 4 8 4 8 8 7] [8 8 8 8 7 8 7 8 7 8 7 8 7 8 8] [8 8 8 8 8 4 8 4 8 4 8 4 8 4 8] [8 8 8 8 8 8 7 8 7 8 7 8 7 8 7] [7 8 8 8 8 8 8 4 8 4 8 4 8 4 8] [8 4 8 8 8 8 8 8 7 8 7 8 7 8 7] [8 8 7 8 8 8 8 8 8 4 8 4 8 4 8] [8 8 8 4 8 8 8 8 8 8 7 8 7 8 7] [7 8 8 8 7 8 8 8 8 8 8 4 8 4 8] [8 4 8 8 8 4 8 8 8 8 8 8 7 8 7] [8 8 7 8 8 8 7 8 8 8 8 8 8 4 8] [8 8 8 4 8 8 8 4 8 8 8 8 8 8 7] [8 8 8 8 7 8 8 8 7 8 8 8 8 8 8] [7 8 8 8 8 4 8 8 8 4 8 8 8 8 8] [8 4 8 8 8 8 7 8 8 8 7 8 8 8 8]]# [[7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7]] -> [[7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 4 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 7 7 7 7 7]]# [[2 2 2 2 2 2 6 2 2 2 2 6 2 6] [2 2 2 2 2 2 2 6 2 2 2 2 6 2] [6 2 2 2 2 2 2 2 6 2 2 2 2 6] [2 6 2 2 2 2 2 2 2 6 2 2 2 2] [2 2 6 2 2 2 2 2 2 2 6 2 2 2] [2 2 2 6 2 2 2 2 2 2 2 6 2 2] [2 2 2 2 6 2 2 2 2 2 2 2 6 2] [2 2 2 2 2 6 2 2 2 2 2 2 2 6] [2 2 2 2 2 2 6 2 2 2 2 2 2 2] [2 2 2 2 2 2 2 6 2 2 2 2 2 2] [6 2 2 2 2 2 2 2 6 2 2 2 2 2]] -> [[2 2 2 2 2 2 6 2 2 2 2 6 2 6] [2 2 2 2 2 2 2 4 2 2 2 2 4 2] [6 2 2 2 2 2 2 2 6 2 2 2 2 6] [2 4 2 2 2 2 2 2 2 4 2 2 2 2] [2 2 6 2 2 2 2 2 2 2 6 2 2 2] [2 2 2 4 2 2 2 2 2 2 2 4 2 2] [2 2 2 2 6 2 2 2 2 2 2 2 6 2] [2 2 2 2 2 4 2 2 2 2 2 2 2 4] [2 2 2 2 2 2 6 2 2 2 2 2 2 2] [2 2 2 2 2 2 2 4 2 2 2 2 2 2] [6 2 2 2 2 2 2 2 6 2 2 2 2 2]]# [[6 5 6] [6 6 5] [6 6 6] [6 6 6] [5 6 6] [6 5 6] [6 6 5]] -> [[6 5 6] [6 6 4] [6 6 6] [6 6 6] [5 6 6] [6 4 6] [6 6 5]]# 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] [5 1 1 1 1 1 1 1 1 1 1] [1 5 1 1 1 1 1 1 1 1 1] [1 1 5 1 1 1 1 1 1 1 1] [1 1 1 5 1 1 1 1 1 1 1] [1 1 1 1 5 1 1 1 1 1 1] [1 1 1 1 1 5 1 1 1 1 1] [1 1 1 1 1 1 5 1 1 1 1] [1 1 1 1 1 1 1 5 1 1 1] [1 1 1 1 1 1 1 1 5 1 1] [5 1 1 1 1 1 1 1 1 5 1] [1 5 1 1 1 1 1 1 1 1 5] [1 1 5 1 1 1 1 1 1 1 1] [1 1 1 5 1 1 1 1 1 1 1]] ->		[[1 1 1 1 1 1 1 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1] [5 1 1 1 1 1 1 1 1 1 1] [1 4 1 1 1 1 1 1 1 1 1] [1 1 5 1 1 1 1 1 1 1 1] [1 1 1 4 1 1 1 1 1 1 1] [1 1 1 1 5 1 1 1 1 1 1] [1 1 1 1 1 4 1 1 1 1 1] [1 1 1 1 1 1 5 1 1 1 1] [1 1 1 1 1 1 1 4 1 1 1] [1 1 1 1 1 1 1 1 5 1 1] [5 1 1 1 1 1 1 1 1 4 1] [1 4 1 1 1 1 1 1 1 1 5] [1 1 5 1 1 1 1 1 1 1 1] [1 1 1 4 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: [[9 9 6 9 9 9 6 9 9 9 9 9] [6 9 9 6 9 9 9 6 9 9 9 9] [9 6 9 9 6 9 9 9 6 9 9 9] [9 9 6 9 9 6 9 9 9 6 9 9] [9 9 9 6 9 9 6 9 9 9 6 9] [9 9 9 9 6 9 9 6 9 9 9 6] [9 9 9 9 9 6 9 9 6 9 9 9] [9 9 9 9 9 9 6 9 9 6 9 9] [9 9 9 9 9 9 9 6 9 9 6 9] [9 9 9 9 9 9 9 9 6 9 9 6] [9 9 9 9 9 9 9 9 9 6 9 9] [9 9 9 9 9 9 9 9 9 9 6 9] [9 9 9 9 9 9 9 9 9 9 9 6]] -> [[9 9 6 9 9 9 6 9 9 9 9 9] [6 9 9 4 9 9 9 4 9 9 9 9] [9 4 9 9 6 9 9 9 6 9 9 9] [9 9 6 9 9 4 9 9 9 4 9 9] [9 9 9 4 9 9 6 9 9 9 6 9] [9 9 9 9 6 9 9 4 9 9 9 4] [9 9 9 9 9 4 9 9 6 9 9 9] [9 9 9 9 9 9 6 9 9 4 9 9] [9 9 9 9 9 9 9 4 9 9 6 9] [9 9 9 9 9 9 9 9 6 9 9 4] [9 9 9 9 9 9 9 9 9 4 9 9] [9 9 9 9 9 9 9 9 9 9 6 9] [9 9 9 9 9 9 9 9 9 9 9 4]]# [[3 3 3 3 3 5 3 3 3 3 3 3 3 5 3 3 5] [3 3 3 3 3 3 5 3 3 3 3 3 3 3 5 3 3] [3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 5 3] [3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 5] [3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5]] -> [[3 3 3 3 3 5 3 3 3 3 3 3 3 5 3 3 5] [3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 3 3] [3 3 3 3 3 3 3 5 3 3 3 3 3 3 3 5 3] [3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4] [3 3 3 3 3 3 3 3 3 5 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 5 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 5 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 5 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4]]# [[8 0 8 0 8 0 8 0 8 8 0 8 8 8 8 8 0 8 8] [0 8 0 8 0 8 0 8 0 8 8 0 8 8 8 8 8 0 8] [8 0 8 0 8 0 8 0 8 0 8 8 0 8 8 8 8 8 0] [8 8 0 8 0 8 0 8 0 8 0 8 8 0 8 8 8 8 8] [8 8 8 0 8 0 8 0 8 0 8 0 8 8 0 8 8 8 8] [8 8 8 8 0 8 0 8 0 8 0 8 0 8 8 0 8 8 8] [0 8 8 8 8 0 8 0 8 0 8 0 8 0 8 8 0 8 8] [8 0 8 8 8 8 0 8 0 8 0 8 0 8 0 8 8 0 8] [8 8 0 8 8 8 8 0 8 0 8 0 8 0 8 0 8 8 0]] -> [[8 0 8 0 8 0 8 0 8 8 0 8 8 8 8 8 0 8 8] [0 8 4 8 4 8 4 8 4 8 8 4 8 8 8 8 8 4 8] [8 4 8 0 8 0 8 0 8 0 8 8 0 8 8 8 8 8 0] [8 8 0 8 4 8 4 8 4 8 4 8 8 4 8 8 8 8 8] [8 8 8 4 8 0 8 0 8 0 8 0 8 8 0 8 8 8 8] [8 8 8 8 0 8 4 8 4 8 4 8 4 8 8 4 8 8 8] [0 8 8 8 8 4 8 0 8 0 8 0 8 0 8 8 0 8 8] [8 4 8 8 8 8 0 8 4 8 4 8 4 8 4 8 8 4 8] [8 8 0 8 8 8 8 4 8 0 8 0 8 0 8 0 8 8 0]]# There is a <image> shows all the examples before. Here is your test case: [[3 3 3 7 3 3 3 7 3 3 7 3 3 3 3 3] [3 3 3 3 7 3 3 3 7 3 3 7 3 3 3 3] [7 3 3 3 3 7 3 3 3 7 3 3 7 3 3 3] [3 7 3 3 3 3 7 3 3 3 7 3 3 7 3 3]] ->		[[3 3 3 7 3 3 3 7 3 3 7 3 3 3 3 3] [3 3 3 3 4 3 3 3 4 3 3 4 3 3 3 3] [7 3 3 3 3 7 3 3 3 7 3 3 7 3 3 3] [3 4 3 3 3 3 4 3 3 3 4 3 3 4 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: [[3 3 3 3 3 3 3 3 6 3 3 6] [3 3 3 3 3 3 3 3 3 6 3 3] [3 3 3 3 3 3 3 3 3 3 6 3] [3 3 3 3 3 3 3 3 3 3 3 6] [3 3 3 3 3 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3]] -> [[3 3 3 3 3 3 3 3 6 3 3 6] [3 3 3 3 3 3 3 3 3 4 3 3] [3 3 3 3 3 3 3 3 3 3 6 3] [3 3 3 3 3 3 3 3 3 3 3 4] [3 3 3 3 3 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3]]# [[6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6] [9 6 6 6 6 6 6 6 6] [6 9 6 6 6 6 6 6 6] [6 6 9 6 6 6 6 6 6] [6 6 6 9 6 6 6 6 6] [6 6 6 6 9 6 6 6 6] [6 6 6 6 6 9 6 6 6] [6 6 6 6 6 6 9 6 6] [6 6 6 6 6 6 6 9 6] [9 6 6 6 6 6 6 6 9] [6 9 6 6 6 6 6 6 6] [6 6 9 6 6 6 6 6 6] [6 6 6 9 6 6 6 6 6] [6 6 6 6 9 6 6 6 6] [6 6 6 6 6 9 6 6 6]] -> [[6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6] [9 6 6 6 6 6 6 6 6] [6 4 6 6 6 6 6 6 6] [6 6 9 6 6 6 6 6 6] [6 6 6 4 6 6 6 6 6] [6 6 6 6 9 6 6 6 6] [6 6 6 6 6 4 6 6 6] [6 6 6 6 6 6 9 6 6] [6 6 6 6 6 6 6 4 6] [9 6 6 6 6 6 6 6 9] [6 4 6 6 6 6 6 6 6] [6 6 9 6 6 6 6 6 6] [6 6 6 4 6 6 6 6 6] [6 6 6 6 9 6 6 6 6] [6 6 6 6 6 4 6 6 6]]# There is a <image> shows all the examples before. Here is your test case: [[9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9] [9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 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 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 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 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 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 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 8] [9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9] [9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9] [9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9] [8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9]] ->		[[9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 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 4 9 9 9 9 9 9] [9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 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 4 9 9 9 9] [9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 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 4 9 9] [9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 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 4] [9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9] [9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9] [9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9] [8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 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: [[6 6 6 6 6 6 6 6 6 6 6 6 7 6 7 6 6 7 6 6 6] [7 6 6 6 6 6 6 6 6 6 6 6 6 7 6 7 6 6 7 6 6] [6 7 6 6 6 6 6 6 6 6 6 6 6 6 7 6 7 6 6 7 6] [6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 7 6 7 6 6 7] [6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 7 6 7 6 6] [6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 7 6 7 6] [6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 7 6 7] [6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 7 6] [6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 7] [6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6]] -> [[6 6 6 6 6 6 6 6 6 6 6 6 7 6 7 6 6 7 6 6 6] [7 6 6 6 6 6 6 6 6 6 6 6 6 4 6 4 6 6 4 6 6] [6 4 6 6 6 6 6 6 6 6 6 6 6 6 7 6 7 6 6 7 6] [6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 4 6 4 6 6 4] [6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 7 6 7 6 6] [6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 4 6 4 6] [6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 7 6 7] [6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 4 6] [6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 7] [6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6]]# [[7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7] [5 7 7 7 7 7 7 7 7] [7 5 7 7 7 7 7 7 7] [7 7 5 7 7 7 7 7 7] [7 7 7 5 7 7 7 7 7] [5 7 7 7 5 7 7 7 7] [7 5 7 7 7 5 7 7 7] [7 7 5 7 7 7 5 7 7] [7 7 7 5 7 7 7 5 7]] -> [[7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7] [5 7 7 7 7 7 7 7 7] [7 4 7 7 7 7 7 7 7] [7 7 5 7 7 7 7 7 7] [7 7 7 4 7 7 7 7 7] [5 7 7 7 5 7 7 7 7] [7 4 7 7 7 4 7 7 7] [7 7 5 7 7 7 5 7 7] [7 7 7 4 7 7 7 4 7]]# There is a <image> shows all the examples before. Here is your test case: [[2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8 2 2 2 2 2 2 8 2] [2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8 2 2 2 2 2 2 8] [8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8 2 2 2 2 2 2] [2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8 2 2 2 2 2] [8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8 2 2 2 2] [2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8 2 2 2] [2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8 2 2] [2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8 2] [2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8] [2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2] [2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2] [8 2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2] [2 8 2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2] [2 2 8 2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2] [2 2 2 8 2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2] [8 2 2 2 8 2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2] [2 8 2 2 2 8 2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8] [2 2 8 2 2 2 8 2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2] [2 2 2 8 2 2 2 8 2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2]] ->		[[2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8 2 2 2 2 2 2 8 2] [2 2 4 2 2 2 4 2 4 2 2 4 2 2 2 2 2 2 2 4 2 2 2 2 2 2 4] [8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8 2 2 2 2 2 2] [2 4 2 2 4 2 2 2 4 2 4 2 2 4 2 2 2 2 2 2 2 4 2 2 2 2 2] [8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8 2 2 2 2] [2 4 2 4 2 2 4 2 2 2 4 2 4 2 2 4 2 2 2 2 2 2 2 4 2 2 2] [2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8 2 2] [2 2 2 4 2 4 2 2 4 2 2 2 4 2 4 2 2 4 2 2 2 2 2 2 2 4 2] [2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2 2 8] [2 2 2 2 2 4 2 4 2 2 4 2 2 2 4 2 4 2 2 4 2 2 2 2 2 2 2] [2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2 2 2] [8 2 2 2 2 2 2 4 2 4 2 2 4 2 2 2 4 2 4 2 2 4 2 2 2 2 2] [2 4 2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2 2 2] [2 2 8 2 2 2 2 2 2 4 2 4 2 2 4 2 2 2 4 2 4 2 2 4 2 2 2] [2 2 2 4 2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8 2 2] [8 2 2 2 8 2 2 2 2 2 2 4 2 4 2 2 4 2 2 2 4 2 4 2 2 4 2] [2 4 2 2 2 4 2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 8 2 2 8] [2 2 8 2 2 2 8 2 2 2 2 2 2 4 2 4 2 2 4 2 2 2 4 2 4 2 2] [2 2 2 4 2 2 2 4 2 2 2 2 2 2 8 2 8 2 2 8 2 2 2 8 2 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: [[7 6 7 6 7 6 6 6 6 6] [6 7 6 7 6 7 6 6 6 6] [7 6 7 6 7 6 7 6 6 6] [6 7 6 7 6 7 6 7 6 6] [6 6 7 6 7 6 7 6 7 6] [6 6 6 7 6 7 6 7 6 7] [6 6 6 6 7 6 7 6 7 6] [6 6 6 6 6 7 6 7 6 7] [7 6 6 6 6 6 7 6 7 6] [6 7 6 6 6 6 6 7 6 7] [6 6 7 6 6 6 6 6 7 6]] -> [[7 6 7 6 7 6 6 6 6 6] [6 4 6 4 6 4 6 6 6 6] [7 6 7 6 7 6 7 6 6 6] [6 4 6 4 6 4 6 4 6 6] [6 6 7 6 7 6 7 6 7 6] [6 6 6 4 6 4 6 4 6 4] [6 6 6 6 7 6 7 6 7 6] [6 6 6 6 6 4 6 4 6 4] [7 6 6 6 6 6 7 6 7 6] [6 4 6 6 6 6 6 4 6 4] [6 6 7 6 6 6 6 6 7 6]]# [[7 9 9 7 9 9 9 9 9 9 9 9 7 9 9 9 9 9 9 9 9 9] [9 7 9 9 7 9 9 9 9 9 9 9 9 7 9 9 9 9 9 9 9 9] [9 9 7 9 9 7 9 9 9 9 9 9 9 9 7 9 9 9 9 9 9 9] [9 9 9 7 9 9 7 9 9 9 9 9 9 9 9 7 9 9 9 9 9 9] [9 9 9 9 7 9 9 7 9 9 9 9 9 9 9 9 7 9 9 9 9 9] [7 9 9 9 9 7 9 9 7 9 9 9 9 9 9 9 9 7 9 9 9 9] [9 7 9 9 9 9 7 9 9 7 9 9 9 9 9 9 9 9 7 9 9 9] [9 9 7 9 9 9 9 7 9 9 7 9 9 9 9 9 9 9 9 7 9 9] [9 9 9 7 9 9 9 9 7 9 9 7 9 9 9 9 9 9 9 9 7 9] [7 9 9 9 7 9 9 9 9 7 9 9 7 9 9 9 9 9 9 9 9 7] [9 7 9 9 9 7 9 9 9 9 7 9 9 7 9 9 9 9 9 9 9 9] [9 9 7 9 9 9 7 9 9 9 9 7 9 9 7 9 9 9 9 9 9 9] [9 9 9 7 9 9 9 7 9 9 9 9 7 9 9 7 9 9 9 9 9 9] [9 9 9 9 7 9 9 9 7 9 9 9 9 7 9 9 7 9 9 9 9 9] [7 9 9 9 9 7 9 9 9 7 9 9 9 9 7 9 9 7 9 9 9 9] [9 7 9 9 9 9 7 9 9 9 7 9 9 9 9 7 9 9 7 9 9 9] [9 9 7 9 9 9 9 7 9 9 9 7 9 9 9 9 7 9 9 7 9 9] [7 9 9 7 9 9 9 9 7 9 9 9 7 9 9 9 9 7 9 9 7 9] [9 7 9 9 7 9 9 9 9 7 9 9 9 7 9 9 9 9 7 9 9 7]] -> [[7 9 9 7 9 9 9 9 9 9 9 9 7 9 9 9 9 9 9 9 9 9] [9 4 9 9 4 9 9 9 9 9 9 9 9 4 9 9 9 9 9 9 9 9] [9 9 7 9 9 7 9 9 9 9 9 9 9 9 7 9 9 9 9 9 9 9] [9 9 9 4 9 9 4 9 9 9 9 9 9 9 9 4 9 9 9 9 9 9] [9 9 9 9 7 9 9 7 9 9 9 9 9 9 9 9 7 9 9 9 9 9] [7 9 9 9 9 4 9 9 4 9 9 9 9 9 9 9 9 4 9 9 9 9] [9 4 9 9 9 9 7 9 9 7 9 9 9 9 9 9 9 9 7 9 9 9] [9 9 7 9 9 9 9 4 9 9 4 9 9 9 9 9 9 9 9 4 9 9] [9 9 9 4 9 9 9 9 7 9 9 7 9 9 9 9 9 9 9 9 7 9] [7 9 9 9 7 9 9 9 9 4 9 9 4 9 9 9 9 9 9 9 9 4] [9 4 9 9 9 4 9 9 9 9 7 9 9 7 9 9 9 9 9 9 9 9] [9 9 7 9 9 9 7 9 9 9 9 4 9 9 4 9 9 9 9 9 9 9] [9 9 9 4 9 9 9 4 9 9 9 9 7 9 9 7 9 9 9 9 9 9] [9 9 9 9 7 9 9 9 7 9 9 9 9 4 9 9 4 9 9 9 9 9] [7 9 9 9 9 4 9 9 9 4 9 9 9 9 7 9 9 7 9 9 9 9] [9 4 9 9 9 9 7 9 9 9 7 9 9 9 9 4 9 9 4 9 9 9] [9 9 7 9 9 9 9 4 9 9 9 4 9 9 9 9 7 9 9 7 9 9] [7 9 9 4 9 9 9 9 7 9 9 9 7 9 9 9 9 4 9 9 4 9] [9 4 9 9 7 9 9 9 9 4 9 9 9 4 9 9 9 9 7 9 9 7]]# [[7 7 7 7 7 7 0 7 7] [7 7 7 7 7 7 7 0 7] [7 7 7 7 7 7 7 7 0] [7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7]] -> [[7 7 7 7 7 7 0 7 7] [7 7 7 7 7 7 7 4 7] [7 7 7 7 7 7 7 7 0] [7 7 7 7 7 7 7 7 7] [7 7 7 7 7 7 7 7 7]]# There is a <image> shows all the examples before. Here is your test case: [[1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 2 1 1 1 1 1 1] [2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 2 1 1 1 1 1] [1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 2 1 1 1 1] [2 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 2 1 1 1] [1 2 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 2 1 1] [1 1 2 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 2 1] [1 1 1 2 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 2] [1 1 1 1 2 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1] [1 1 1 1 1 2 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 2] [1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1] [1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1] [2 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1] [1 2 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1] [1 1 2 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1] [1 1 1 2 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2] [1 1 1 1 2 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 1] [1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1] [1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 2 1 1 1 1 1] [1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 2 1 1 1 1] [1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 2 1 1 1] [1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 2 1 1] [2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 2 1]] ->		[[1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 2 1 1 1 1 1 1] [2 1 1 1 1 1 1 4 1 1 1 1 1 1 1 4 1 1 1 1 1 4 1 4 1 1 1 1 1] [1 4 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 2 1 1 1 1] [2 1 2 1 1 1 1 1 1 4 1 1 1 1 1 1 1 4 1 1 1 1 1 4 1 4 1 1 1] [1 4 1 4 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 2 1 1] [1 1 2 1 2 1 1 1 1 1 1 4 1 1 1 1 1 1 1 4 1 1 1 1 1 4 1 4 1] [1 1 1 4 1 4 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 2] [1 1 1 1 2 1 2 1 1 1 1 1 1 4 1 1 1 1 1 1 1 4 1 1 1 1 1 4 1] [1 1 1 1 1 4 1 4 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1 1 2] [1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 4 1 1 1 1 1 1 1 4 1 1 1 1 1] [1 1 1 1 1 1 1 4 1 4 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1 1 1] [2 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 4 1 1 1 1 1 1 1 4 1 1 1] [1 4 1 1 1 1 1 1 1 4 1 4 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 1] [1 1 2 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 4 1 1 1 1 1 1 1 4 1] [1 1 1 4 1 1 1 1 1 1 1 4 1 4 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2] [1 1 1 1 2 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 4 1 1 1 1 1 1 1] [1 1 1 1 1 4 1 1 1 1 1 1 1 4 1 4 1 1 1 1 1 1 2 1 1 1 1 1 1] [1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 4 1 1 1 1 1] [1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 4 1 4 1 1 1 1 1 1 2 1 1 1 1] [1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 4 1 1 1] [1 1 1 1 1 1 1 1 1 4 1 1 1 1 1 1 1 4 1 4 1 1 1 1 1 1 2 1 1] [2 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 2 1 2 1 1 1 1 1 1 4 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: [[1 7 1 7 7 1 7 7 7 1 7 7 7 7 7 7 7 7 7 7 1 7 7 1 7 1 7] [7 1 7 1 7 7 1 7 7 7 1 7 7 7 7 7 7 7 7 7 7 1 7 7 1 7 1] [1 7 1 7 1 7 7 1 7 7 7 1 7 7 7 7 7 7 7 7 7 7 1 7 7 1 7] [7 1 7 1 7 1 7 7 1 7 7 7 1 7 7 7 7 7 7 7 7 7 7 1 7 7 1] [1 7 1 7 1 7 1 7 7 1 7 7 7 1 7 7 7 7 7 7 7 7 7 7 1 7 7]] -> [[1 7 1 7 7 1 7 7 7 1 7 7 7 7 7 7 7 7 7 7 1 7 7 1 7 1 7] [7 4 7 4 7 7 4 7 7 7 4 7 7 7 7 7 7 7 7 7 7 4 7 7 4 7 4] [1 7 1 7 1 7 7 1 7 7 7 1 7 7 7 7 7 7 7 7 7 7 1 7 7 1 7] [7 4 7 4 7 4 7 7 4 7 7 7 4 7 7 7 7 7 7 7 7 7 7 4 7 7 4] [1 7 1 7 1 7 1 7 7 1 7 7 7 1 7 7 7 7 7 7 7 7 7 7 1 7 7]]# [[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 3] [1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1] [1 1 1 1 1 1 1 1 1 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 1 1 1 1 1 1 1 1 3] [1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 3 1 1 1 1 1 1 1 1 1 1 1 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 1 1 1 1 1] [1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 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 1 1] [1 1 1 1 1 1 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1]] -> [[1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 1 3] [1 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 1 1 1 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 1 1 1 1 1 1 1 1 4] [1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [3 1 1 1 1 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 1 1 1 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 1 1 1 1 1] [1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1] [1 1 1 1 3 1 1 1 1 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 1 1 1 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 1]]# [[2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2] [2 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 5 2 2 2 5 2 2 5 2 5 2] [5 2 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 5 2 2 2 5 2 2 5 2 5] [2 5 2 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 5 2 2 2 5 2 2 5 2] [2 2 5 2 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 5 2 2 2 5 2 2 5] [5 2 2 5 2 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 5 2 2 2 5 2 2] [2 5 2 2 5 2 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 5 2 2 2 5 2] [2 2 5 2 2 5 2 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 5 2 2 2 5] [5 2 2 5 2 2 5 2 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 5 2 2 2] [2 5 2 2 5 2 2 5 2 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 5 2 2] [2 2 5 2 2 5 2 2 5 2 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 5 2] [2 2 2 5 2 2 5 2 2 5 2 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 5] [5 2 2 2 5 2 2 5 2 2 5 2 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2] [2 5 2 2 2 5 2 2 5 2 2 5 2 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5] [2 2 5 2 2 2 5 2 2 5 2 2 5 2 2 2 2 5 2 2 5 2 5 2 2 2 5 2] [2 2 2 5 2 2 2 5 2 2 5 2 2 5 2 2 2 2 5 2 2 5 2 5 2 2 2 5]] -> [[2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2] [2 2 2 2 4 2 2 4 2 4 2 2 2 4 2 4 2 4 2 2 2 4 2 2 4 2 4 2] [5 2 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 5 2 2 2 5 2 2 5 2 5] [2 4 2 2 2 2 4 2 2 4 2 4 2 2 2 4 2 4 2 4 2 2 2 4 2 2 4 2] [2 2 5 2 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 5 2 2 2 5 2 2 5] [5 2 2 4 2 2 2 2 4 2 2 4 2 4 2 2 2 4 2 4 2 4 2 2 2 4 2 2] [2 4 2 2 5 2 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 5 2 2 2 5 2] [2 2 5 2 2 4 2 2 2 2 4 2 2 4 2 4 2 2 2 4 2 4 2 4 2 2 2 4] [5 2 2 4 2 2 5 2 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 5 2 2 2] [2 4 2 2 5 2 2 4 2 2 2 2 4 2 2 4 2 4 2 2 2 4 2 4 2 4 2 2] [2 2 5 2 2 4 2 2 5 2 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 5 2] [2 2 2 4 2 2 5 2 2 4 2 2 2 2 4 2 2 4 2 4 2 2 2 4 2 4 2 4] [5 2 2 2 5 2 2 4 2 2 5 2 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2] [2 4 2 2 2 4 2 2 5 2 2 4 2 2 2 2 4 2 2 4 2 4 2 2 2 4 2 4] [2 2 5 2 2 2 5 2 2 4 2 2 5 2 2 2 2 5 2 2 5 2 5 2 2 2 5 2] [2 2 2 4 2 2 2 4 2 2 5 2 2 4 2 2 2 2 4 2 2 4 2 4 2 2 2 4]]# [[0 0 6 0 0 6 0 0 0 0 0] [0 0 0 6 0 0 6 0 0 0 0] [6 0 0 0 6 0 0 6 0 0 0] [0 6 0 0 0 6 0 0 6 0 0] [6 0 6 0 0 0 6 0 0 6 0] [0 6 0 6 0 0 0 6 0 0 6] [0 0 6 0 6 0 0 0 6 0 0] [0 0 0 6 0 6 0 0 0 6 0] [6 0 0 0 6 0 6 0 0 0 6] [0 6 0 0 0 6 0 6 0 0 0] [0 0 6 0 0 0 6 0 6 0 0] [0 0 0 6 0 0 0 6 0 6 0] [0 0 0 0 6 0 0 0 6 0 6] [6 0 0 0 0 6 0 0 0 6 0] [0 6 0 0 0 0 6 0 0 0 6] [0 0 6 0 0 0 0 6 0 0 0] [0 0 0 6 0 0 0 0 6 0 0] [0 0 0 0 6 0 0 0 0 6 0] [0 0 0 0 0 6 0 0 0 0 6] [0 0 0 0 0 0 6 0 0 0 0] [0 0 0 0 0 0 0 6 0 0 0]] -> [[0 0 6 0 0 6 0 0 0 0 0] [0 0 0 4 0 0 4 0 0 0 0] [6 0 0 0 6 0 0 6 0 0 0] [0 4 0 0 0 4 0 0 4 0 0] [6 0 6 0 0 0 6 0 0 6 0] [0 4 0 4 0 0 0 4 0 0 4] [0 0 6 0 6 0 0 0 6 0 0] [0 0 0 4 0 4 0 0 0 4 0] [6 0 0 0 6 0 6 0 0 0 6] [0 4 0 0 0 4 0 4 0 0 0] [0 0 6 0 0 0 6 0 6 0 0] [0 0 0 4 0 0 0 4 0 4 0] [0 0 0 0 6 0 0 0 6 0 6] [6 0 0 0 0 4 0 0 0 4 0] [0 4 0 0 0 0 6 0 0 0 6] [0 0 6 0 0 0 0 4 0 0 0] [0 0 0 4 0 0 0 0 6 0 0] [0 0 0 0 6 0 0 0 0 4 0] [0 0 0 0 0 4 0 0 0 0 6] [0 0 0 0 0 0 6 0 0 0 0] [0 0 0 0 0 0 0 4 0 0 0]]# [[9 9 9 9 3 9 3 9 9 3 9 9 9 3 9 9 9 3 9 9 3 9 3 9 3] [3 9 9 9 9 3 9 3 9 9 3 9 9 9 3 9 9 9 3 9 9 3 9 3 9] [9 3 9 9 9 9 3 9 3 9 9 3 9 9 9 3 9 9 9 3 9 9 3 9 3] [9 9 3 9 9 9 9 3 9 3 9 9 3 9 9 9 3 9 9 9 3 9 9 3 9] [9 9 9 3 9 9 9 9 3 9 3 9 9 3 9 9 9 3 9 9 9 3 9 9 3] [3 9 9 9 3 9 9 9 9 3 9 3 9 9 3 9 9 9 3 9 9 9 3 9 9] [9 3 9 9 9 3 9 9 9 9 3 9 3 9 9 3 9 9 9 3 9 9 9 3 9]] -> [[9 9 9 9 3 9 3 9 9 3 9 9 9 3 9 9 9 3 9 9 3 9 3 9 3] [3 9 9 9 9 4 9 4 9 9 4 9 9 9 4 9 9 9 4 9 9 4 9 4 9] [9 4 9 9 9 9 3 9 3 9 9 3 9 9 9 3 9 9 9 3 9 9 3 9 3] [9 9 3 9 9 9 9 4 9 4 9 9 4 9 9 9 4 9 9 9 4 9 9 4 9] [9 9 9 4 9 9 9 9 3 9 3 9 9 3 9 9 9 3 9 9 9 3 9 9 3] [3 9 9 9 3 9 9 9 9 4 9 4 9 9 4 9 9 9 4 9 9 9 4 9 9] [9 4 9 9 9 4 9 9 9 9 3 9 3 9 9 3 9 9 9 3 9 9 9 3 9]]# There is a <image> shows all the examples before. Here is your test case: [[2 2 5 2 2 2 2 2 2 2 5 2 2] [2 2 2 5 2 2 2 2 2 2 2 5 2] [2 2 2 2 5 2 2 2 2 2 2 2 5] [2 2 2 2 2 5 2 2 2 2 2 2 2] [2 2 2 2 2 2 5 2 2 2 2 2 2] [2 2 2 2 2 2 2 5 2 2 2 2 2] [2 2 2 2 2 2 2 2 5 2 2 2 2] [5 2 2 2 2 2 2 2 2 5 2 2 2] [2 5 2 2 2 2 2 2 2 2 5 2 2] [2 2 5 2 2 2 2 2 2 2 2 5 2] [5 2 2 5 2 2 2 2 2 2 2 2 5] [2 5 2 2 5 2 2 2 2 2 2 2 2] [2 2 5 2 2 5 2 2 2 2 2 2 2] [2 2 2 5 2 2 5 2 2 2 2 2 2] [2 2 2 2 5 2 2 5 2 2 2 2 2] [2 2 2 2 2 5 2 2 5 2 2 2 2] [5 2 2 2 2 2 5 2 2 5 2 2 2]] ->		[[2 2 5 2 2 2 2 2 2 2 5 2 2] [2 2 2 4 2 2 2 2 2 2 2 4 2] [2 2 2 2 5 2 2 2 2 2 2 2 5] [2 2 2 2 2 4 2 2 2 2 2 2 2] [2 2 2 2 2 2 5 2 2 2 2 2 2] [2 2 2 2 2 2 2 4 2 2 2 2 2] [2 2 2 2 2 2 2 2 5 2 2 2 2] [5 2 2 2 2 2 2 2 2 4 2 2 2] [2 4 2 2 2 2 2 2 2 2 5 2 2] [2 2 5 2 2 2 2 2 2 2 2 4 2] [5 2 2 4 2 2 2 2 2 2 2 2 5] [2 4 2 2 5 2 2 2 2 2 2 2 2] [2 2 5 2 2 4 2 2 2 2 2 2 2] [2 2 2 4 2 2 5 2 2 2 2 2 2] [2 2 2 2 5 2 2 4 2 2 2 2 2] [2 2 2 2 2 4 2 2 5 2 2 2 2] [5 2 2 2 2 2 5 2 2 4 2 2 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: [[6 6 6 6 6 9] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [9 6 6 6 6 6] [6 9 6 6 6 6] [9 6 9 6 6 6] [6 9 6 9 6 6] [9 6 9 6 9 6] [6 9 6 9 6 9] [6 6 9 6 9 6] [6 6 6 9 6 9] [6 6 6 6 9 6] [6 6 6 6 6 9] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [9 6 6 6 6 6] [6 9 6 6 6 6] [9 6 9 6 6 6] [6 9 6 9 6 6]] -> [[6 6 6 6 6 9] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [9 6 6 6 6 6] [6 4 6 6 6 6] [9 6 9 6 6 6] [6 4 6 4 6 6] [9 6 9 6 9 6] [6 4 6 4 6 4] [6 6 9 6 9 6] [6 6 6 4 6 4] [6 6 6 6 9 6] [6 6 6 6 6 4] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [9 6 6 6 6 6] [6 4 6 6 6 6] [9 6 9 6 6 6] [6 4 6 4 6 6]]# [[3 8 8 8 3 8 8 8 8 8 8 8 8 3] [8 3 8 8 8 3 8 8 8 8 8 8 8 8] [8 8 3 8 8 8 3 8 8 8 8 8 8 8] [8 8 8 3 8 8 8 3 8 8 8 8 8 8] [8 8 8 8 3 8 8 8 3 8 8 8 8 8] [8 8 8 8 8 3 8 8 8 3 8 8 8 8] [8 8 8 8 8 8 3 8 8 8 3 8 8 8] [8 8 8 8 8 8 8 3 8 8 8 3 8 8] [3 8 8 8 8 8 8 8 3 8 8 8 3 8] [8 3 8 8 8 8 8 8 8 3 8 8 8 3] [8 8 3 8 8 8 8 8 8 8 3 8 8 8] [8 8 8 3 8 8 8 8 8 8 8 3 8 8] [3 8 8 8 3 8 8 8 8 8 8 8 3 8] [8 3 8 8 8 3 8 8 8 8 8 8 8 3] [8 8 3 8 8 8 3 8 8 8 8 8 8 8] [8 8 8 3 8 8 8 3 8 8 8 8 8 8] [8 8 8 8 3 8 8 8 3 8 8 8 8 8] [8 8 8 8 8 3 8 8 8 3 8 8 8 8] [3 8 8 8 8 8 3 8 8 8 3 8 8 8]] -> [[3 8 8 8 3 8 8 8 8 8 8 8 8 3] [8 4 8 8 8 4 8 8 8 8 8 8 8 8] [8 8 3 8 8 8 3 8 8 8 8 8 8 8] [8 8 8 4 8 8 8 4 8 8 8 8 8 8] [8 8 8 8 3 8 8 8 3 8 8 8 8 8] [8 8 8 8 8 4 8 8 8 4 8 8 8 8] [8 8 8 8 8 8 3 8 8 8 3 8 8 8] [8 8 8 8 8 8 8 4 8 8 8 4 8 8] [3 8 8 8 8 8 8 8 3 8 8 8 3 8] [8 4 8 8 8 8 8 8 8 4 8 8 8 4] [8 8 3 8 8 8 8 8 8 8 3 8 8 8] [8 8 8 4 8 8 8 8 8 8 8 4 8 8] [3 8 8 8 3 8 8 8 8 8 8 8 3 8] [8 4 8 8 8 4 8 8 8 8 8 8 8 4] [8 8 3 8 8 8 3 8 8 8 8 8 8 8] [8 8 8 4 8 8 8 4 8 8 8 8 8 8] [8 8 8 8 3 8 8 8 3 8 8 8 8 8] [8 8 8 8 8 4 8 8 8 4 8 8 8 8] [3 8 8 8 8 8 3 8 8 8 3 8 8 8]]# [[1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8 1 8 1 1 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8 1 8 1 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8 1 8 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8 1 8 1 1 1] [8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8 1 8 1 1] [1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8 1 8 1] [1 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8 1 8] [1 1 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8 1] [1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8] [1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1] [1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1]] -> [[1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8 1 8 1 1 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 4 1 4 1 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8 1 8 1 1 1 1] [1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 4 1 4 1 1 1] [8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8 1 8 1 1] [1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 4 1 4 1] [1 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8 1 8] [1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1 4 1] [1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1 1 8] [1 1 1 1 1 4 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4 1 1 1] [1 1 1 1 1 1 8 1 1 1 1 1 1 1 1 1 1 1 1 1 1 8 1 1]]# There is a <image> shows all the examples before. Here is your test case: [[5 7 5 5 5] [5 5 7 5 5] [7 5 5 7 5] [5 7 5 5 7] [5 5 7 5 5] [5 5 5 7 5] [5 5 5 5 7] [5 5 5 5 5] [5 5 5 5 5] [5 5 5 5 5] [5 5 5 5 5] [5 5 5 5 5] [5 5 5 5 5] [5 5 5 5 5] [7 5 5 5 5] [5 7 5 5 5] [5 5 7 5 5] [5 5 5 7 5] [5 5 5 5 7] [5 5 5 5 5] [5 5 5 5 5] [5 5 5 5 5] [5 5 5 5 5] [7 5 5 5 5] [5 7 5 5 5] [5 5 7 5 5] [7 5 5 7 5] [5 7 5 5 7] [5 5 7 5 5]] ->		[[5 7 5 5 5] [5 5 4 5 5] [7 5 5 7 5] [5 4 5 5 4] [5 5 7 5 5] [5 5 5 4 5] [5 5 5 5 7] [5 5 5 5 5] [5 5 5 5 5] [5 5 5 5 5] [5 5 5 5 5] [5 5 5 5 5] [5 5 5 5 5] [5 5 5 5 5] [7 5 5 5 5] [5 4 5 5 5] [5 5 7 5 5] [5 5 5 4 5] [5 5 5 5 7] [5 5 5 5 5] [5 5 5 5 5] [5 5 5 5 5] [5 5 5 5 5] [7 5 5 5 5] [5 4 5 5 5] [5 5 7 5 5] [7 5 5 4 5] [5 4 5 5 7] [5 5 7 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: [[5 5 5 5 1 5 5 5 5 5 5 5 5 5 1 5 5 5 5 1 5 5 5] [5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 1 5 5 5 5 1 5 5] [5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 1 5 5 5 5 1 5] [5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 1 5 5 5 5 1] [5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 1 5 5 5 5] [5 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 1 5 5 5] [5 5 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 1 5 5] [5 5 5 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 1 5] [5 5 5 5 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 1] [5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5]] -> [[5 5 5 5 1 5 5 5 5 5 5 5 5 5 1 5 5 5 5 1 5 5 5] [5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4 5 5] [5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 1 5 5 5 5 1 5] [5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 5 5 5 5 4] [5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 1 5 5 5 5] [5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 5 5 5] [5 5 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 1 5 5] [5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 4 5] [5 5 5 5 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5 1] [5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 1] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5] [5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5]]# [[1 8 1 1 8 1 1 1 1 8 1 8 1 1 8 1 1 1 1] [8 1 8 1 1 8 1 1 1 1 8 1 8 1 1 8 1 1 1] [1 8 1 8 1 1 8 1 1 1 1 8 1 8 1 1 8 1 1] [1 1 8 1 8 1 1 8 1 1 1 1 8 1 8 1 1 8 1] [1 1 1 8 1 8 1 1 8 1 1 1 1 8 1 8 1 1 8] [1 1 1 1 8 1 8 1 1 8 1 1 1 1 8 1 8 1 1] [1 1 1 1 1 8 1 8 1 1 8 1 1 1 1 8 1 8 1] [1 1 1 1 1 1 8 1 8 1 1 8 1 1 1 1 8 1 8] [1 1 1 1 1 1 1 8 1 8 1 1 8 1 1 1 1 8 1] [1 1 1 1 1 1 1 1 8 1 8 1 1 8 1 1 1 1 8] [8 1 1 1 1 1 1 1 1 8 1 8 1 1 8 1 1 1 1] [1 8 1 1 1 1 1 1 1 1 8 1 8 1 1 8 1 1 1] [1 1 8 1 1 1 1 1 1 1 1 8 1 8 1 1 8 1 1] [8 1 1 8 1 1 1 1 1 1 1 1 8 1 8 1 1 8 1] [1 8 1 1 8 1 1 1 1 1 1 1 1 8 1 8 1 1 8] [1 1 8 1 1 8 1 1 1 1 1 1 1 1 8 1 8 1 1] [1 1 1 8 1 1 8 1 1 1 1 1 1 1 1 8 1 8 1] [8 1 1 1 8 1 1 8 1 1 1 1 1 1 1 1 8 1 8] [1 8 1 1 1 8 1 1 8 1 1 1 1 1 1 1 1 8 1] [8 1 8 1 1 1 8 1 1 8 1 1 1 1 1 1 1 1 8] [1 8 1 8 1 1 1 8 1 1 8 1 1 1 1 1 1 1 1] [1 1 8 1 8 1 1 1 8 1 1 8 1 1 1 1 1 1 1]] -> [[1 8 1 1 8 1 1 1 1 8 1 8 1 1 8 1 1 1 1] [8 1 4 1 1 4 1 1 1 1 4 1 4 1 1 4 1 1 1] [1 4 1 8 1 1 8 1 1 1 1 8 1 8 1 1 8 1 1] [1 1 8 1 4 1 1 4 1 1 1 1 4 1 4 1 1 4 1] [1 1 1 4 1 8 1 1 8 1 1 1 1 8 1 8 1 1 8] [1 1 1 1 8 1 4 1 1 4 1 1 1 1 4 1 4 1 1] [1 1 1 1 1 4 1 8 1 1 8 1 1 1 1 8 1 8 1] [1 1 1 1 1 1 8 1 4 1 1 4 1 1 1 1 4 1 4] [1 1 1 1 1 1 1 4 1 8 1 1 8 1 1 1 1 8 1] [1 1 1 1 1 1 1 1 8 1 4 1 1 4 1 1 1 1 4] [8 1 1 1 1 1 1 1 1 4 1 8 1 1 8 1 1 1 1] [1 4 1 1 1 1 1 1 1 1 8 1 4 1 1 4 1 1 1] [1 1 8 1 1 1 1 1 1 1 1 4 1 8 1 1 8 1 1] [8 1 1 4 1 1 1 1 1 1 1 1 8 1 4 1 1 4 1] [1 4 1 1 8 1 1 1 1 1 1 1 1 4 1 8 1 1 8] [1 1 8 1 1 4 1 1 1 1 1 1 1 1 8 1 4 1 1] [1 1 1 4 1 1 8 1 1 1 1 1 1 1 1 4 1 8 1] [8 1 1 1 8 1 1 4 1 1 1 1 1 1 1 1 8 1 4] [1 4 1 1 1 4 1 1 8 1 1 1 1 1 1 1 1 4 1] [8 1 8 1 1 1 8 1 1 4 1 1 1 1 1 1 1 1 8] [1 4 1 4 1 1 1 4 1 1 8 1 1 1 1 1 1 1 1] [1 1 8 1 8 1 1 1 8 1 1 4 1 1 1 1 1 1 1]]# [[9 0 0 0 9 0 0 0 0 0 0 9 0 0 0] [0 9 0 0 0 9 0 0 0 0 0 0 9 0 0] [0 0 9 0 0 0 9 0 0 0 0 0 0 9 0] [0 0 0 9 0 0 0 9 0 0 0 0 0 0 9] [9 0 0 0 9 0 0 0 9 0 0 0 0 0 0] [0 9 0 0 0 9 0 0 0 9 0 0 0 0 0] [0 0 9 0 0 0 9 0 0 0 9 0 0 0 0] [0 0 0 9 0 0 0 9 0 0 0 9 0 0 0] [0 0 0 0 9 0 0 0 9 0 0 0 9 0 0] [0 0 0 0 0 9 0 0 0 9 0 0 0 9 0] [0 0 0 0 0 0 9 0 0 0 9 0 0 0 9]] -> [[9 0 0 0 9 0 0 0 0 0 0 9 0 0 0] [0 4 0 0 0 4 0 0 0 0 0 0 4 0 0] [0 0 9 0 0 0 9 0 0 0 0 0 0 9 0] [0 0 0 4 0 0 0 4 0 0 0 0 0 0 4] [9 0 0 0 9 0 0 0 9 0 0 0 0 0 0] [0 4 0 0 0 4 0 0 0 4 0 0 0 0 0] [0 0 9 0 0 0 9 0 0 0 9 0 0 0 0] [0 0 0 4 0 0 0 4 0 0 0 4 0 0 0] [0 0 0 0 9 0 0 0 9 0 0 0 9 0 0] [0 0 0 0 0 4 0 0 0 4 0 0 0 4 0] [0 0 0 0 0 0 9 0 0 0 9 0 0 0 9]]# [[0 2 0 2 2 2 2 0 2 2 2 2 2 2 2 2 2] [2 0 2 0 2 2 2 2 0 2 2 2 2 2 2 2 2] [2 2 0 2 0 2 2 2 2 0 2 2 2 2 2 2 2] [2 2 2 0 2 0 2 2 2 2 0 2 2 2 2 2 2] [2 2 2 2 0 2 0 2 2 2 2 0 2 2 2 2 2] [0 2 2 2 2 0 2 0 2 2 2 2 0 2 2 2 2] [2 0 2 2 2 2 0 2 0 2 2 2 2 0 2 2 2] [2 2 0 2 2 2 2 0 2 0 2 2 2 2 0 2 2] [2 2 2 0 2 2 2 2 0 2 0 2 2 2 2 0 2] [0 2 2 2 0 2 2 2 2 0 2 0 2 2 2 2 0] [2 0 2 2 2 0 2 2 2 2 0 2 0 2 2 2 2] [2 2 0 2 2 2 0 2 2 2 2 0 2 0 2 2 2] [2 2 2 0 2 2 2 0 2 2 2 2 0 2 0 2 2] [2 2 2 2 0 2 2 2 0 2 2 2 2 0 2 0 2] [2 2 2 2 2 0 2 2 2 0 2 2 2 2 0 2 0] [0 2 2 2 2 2 0 2 2 2 0 2 2 2 2 0 2] [2 0 2 2 2 2 2 0 2 2 2 0 2 2 2 2 0] [2 2 0 2 2 2 2 2 0 2 2 2 0 2 2 2 2] [0 2 2 0 2 2 2 2 2 0 2 2 2 0 2 2 2] [2 0 2 2 0 2 2 2 2 2 0 2 2 2 0 2 2] [2 2 0 2 2 0 2 2 2 2 2 0 2 2 2 0 2] [2 2 2 0 2 2 0 2 2 2 2 2 0 2 2 2 0] [2 2 2 2 0 2 2 0 2 2 2 2 2 0 2 2 2] [2 2 2 2 2 0 2 2 0 2 2 2 2 2 0 2 2] [0 2 2 2 2 2 0 2 2 0 2 2 2 2 2 0 2] [2 0 2 2 2 2 2 0 2 2 0 2 2 2 2 2 0] [2 2 0 2 2 2 2 2 0 2 2 0 2 2 2 2 2]] -> [[0 2 0 2 2 2 2 0 2 2 2 2 2 2 2 2 2] [2 4 2 4 2 2 2 2 4 2 2 2 2 2 2 2 2] [2 2 0 2 0 2 2 2 2 0 2 2 2 2 2 2 2] [2 2 2 4 2 4 2 2 2 2 4 2 2 2 2 2 2] [2 2 2 2 0 2 0 2 2 2 2 0 2 2 2 2 2] [0 2 2 2 2 4 2 4 2 2 2 2 4 2 2 2 2] [2 4 2 2 2 2 0 2 0 2 2 2 2 0 2 2 2] [2 2 0 2 2 2 2 4 2 4 2 2 2 2 4 2 2] [2 2 2 4 2 2 2 2 0 2 0 2 2 2 2 0 2] [0 2 2 2 0 2 2 2 2 4 2 4 2 2 2 2 4] [2 4 2 2 2 4 2 2 2 2 0 2 0 2 2 2 2] [2 2 0 2 2 2 0 2 2 2 2 4 2 4 2 2 2] [2 2 2 4 2 2 2 4 2 2 2 2 0 2 0 2 2] [2 2 2 2 0 2 2 2 0 2 2 2 2 4 2 4 2] [2 2 2 2 2 4 2 2 2 4 2 2 2 2 0 2 0] [0 2 2 2 2 2 0 2 2 2 0 2 2 2 2 4 2] [2 4 2 2 2 2 2 4 2 2 2 4 2 2 2 2 0] [2 2 0 2 2 2 2 2 0 2 2 2 0 2 2 2 2] [0 2 2 4 2 2 2 2 2 4 2 2 2 4 2 2 2] [2 4 2 2 0 2 2 2 2 2 0 2 2 2 0 2 2] [2 2 0 2 2 4 2 2 2 2 2 4 2 2 2 4 2] [2 2 2 4 2 2 0 2 2 2 2 2 0 2 2 2 0] [2 2 2 2 0 2 2 4 2 2 2 2 2 4 2 2 2] [2 2 2 2 2 4 2 2 0 2 2 2 2 2 0 2 2] [0 2 2 2 2 2 0 2 2 4 2 2 2 2 2 4 2] [2 4 2 2 2 2 2 4 2 2 0 2 2 2 2 2 0] [2 2 0 2 2 2 2 2 0 2 2 4 2 2 2 2 2]]# [[1 0 0 1 0 1 0 0 1 0 0] [0 1 0 0 1 0 1 0 0 1 0] [1 0 1 0 0 1 0 1 0 0 1] [0 1 0 1 0 0 1 0 1 0 0] [0 0 1 0 1 0 0 1 0 1 0] [0 0 0 1 0 1 0 0 1 0 1] [0 0 0 0 1 0 1 0 0 1 0] [0 0 0 0 0 1 0 1 0 0 1]] -> [[1 0 0 1 0 1 0 0 1 0 0] [0 4 0 0 4 0 4 0 0 4 0] [1 0 1 0 0 1 0 1 0 0 1] [0 4 0 4 0 0 4 0 4 0 0] [0 0 1 0 1 0 0 1 0 1 0] [0 0 0 4 0 4 0 0 4 0 4] [0 0 0 0 1 0 1 0 0 1 0] [0 0 0 0 0 4 0 4 0 0 4]]# There is a <image> shows all the examples before. Here is your test case: [[3 3 3] [6 3 3] [3 6 3] [3 3 6] [3 3 3] [3 3 3]] ->		[[3 3 3] [6 3 3] [3 4 3] [3 3 6] [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: [[1 0 1 1 1 1 1 1 0 1 0 1 0 1 0 1 1 0 1 1 1 1 1] [0 1 0 1 1 1 1 1 1 0 1 0 1 0 1 0 1 1 0 1 1 1 1] [1 0 1 0 1 1 1 1 1 1 0 1 0 1 0 1 0 1 1 0 1 1 1] [1 1 0 1 0 1 1 1 1 1 1 0 1 0 1 0 1 0 1 1 0 1 1]] -> [[1 0 1 1 1 1 1 1 0 1 0 1 0 1 0 1 1 0 1 1 1 1 1] [0 1 4 1 1 1 1 1 1 4 1 4 1 4 1 4 1 1 4 1 1 1 1] [1 4 1 0 1 1 1 1 1 1 0 1 0 1 0 1 0 1 1 0 1 1 1] [1 1 0 1 4 1 1 1 1 1 1 4 1 4 1 4 1 4 1 1 4 1 1]]# [[1 1 5 1 5 1 1 1 1 1 1 1 1] [1 1 1 5 1 5 1 1 1 1 1 1 1] [1 1 1 1 5 1 5 1 1 1 1 1 1] [5 1 1 1 1 5 1 5 1 1 1 1 1] [1 5 1 1 1 1 5 1 5 1 1 1 1] [1 1 5 1 1 1 1 5 1 5 1 1 1] [1 1 1 5 1 1 1 1 5 1 5 1 1] [5 1 1 1 5 1 1 1 1 5 1 5 1]] -> [[1 1 5 1 5 1 1 1 1 1 1 1 1] [1 1 1 4 1 4 1 1 1 1 1 1 1] [1 1 1 1 5 1 5 1 1 1 1 1 1] [5 1 1 1 1 4 1 4 1 1 1 1 1] [1 4 1 1 1 1 5 1 5 1 1 1 1] [1 1 5 1 1 1 1 4 1 4 1 1 1] [1 1 1 4 1 1 1 1 5 1 5 1 1] [5 1 1 1 5 1 1 1 1 4 1 4 1]]# [[9 9 9 9 9 9 9 9 9 9 9] [2 9 9 9 9 9 9 9 9 9 9] [9 2 9 9 9 9 9 9 9 9 9] [9 9 2 9 9 9 9 9 9 9 9] [9 9 9 2 9 9 9 9 9 9 9] [9 9 9 9 2 9 9 9 9 9 9] [9 9 9 9 9 2 9 9 9 9 9] [9 9 9 9 9 9 2 9 9 9 9] [9 9 9 9 9 9 9 2 9 9 9] [9 9 9 9 9 9 9 9 2 9 9] [9 9 9 9 9 9 9 9 9 2 9] [9 9 9 9 9 9 9 9 9 9 2] [9 9 9 9 9 9 9 9 9 9 9] [9 9 9 9 9 9 9 9 9 9 9] [9 9 9 9 9 9 9 9 9 9 9] [9 9 9 9 9 9 9 9 9 9 9] [9 9 9 9 9 9 9 9 9 9 9] [9 9 9 9 9 9 9 9 9 9 9] [9 9 9 9 9 9 9 9 9 9 9] [9 9 9 9 9 9 9 9 9 9 9]] -> [[9 9 9 9 9 9 9 9 9 9 9] [2 9 9 9 9 9 9 9 9 9 9] [9 4 9 9 9 9 9 9 9 9 9] [9 9 2 9 9 9 9 9 9 9 9] [9 9 9 4 9 9 9 9 9 9 9] [9 9 9 9 2 9 9 9 9 9 9] [9 9 9 9 9 4 9 9 9 9 9] [9 9 9 9 9 9 2 9 9 9 9] [9 9 9 9 9 9 9 4 9 9 9] [9 9 9 9 9 9 9 9 2 9 9] [9 9 9 9 9 9 9 9 9 4 9] [9 9 9 9 9 9 9 9 9 9 2] [9 9 9 9 9 9 9 9 9 9 9] [9 9 9 9 9 9 9 9 9 9 9] [9 9 9 9 9 9 9 9 9 9 9] [9 9 9 9 9 9 9 9 9 9 9] [9 9 9 9 9 9 9 9 9 9 9] [9 9 9 9 9 9 9 9 9 9 9] [9 9 9 9 9 9 9 9 9 9 9] [9 9 9 9 9 9 9 9 9 9 9]]# There is a <image> shows all the examples before. Here is your test case: [[5 5 2 5 2 5 5 5 2 5 2 5 5 2 5 5 5 5 2 5 5 5] [5 5 5 2 5 2 5 5 5 2 5 2 5 5 2 5 5 5 5 2 5 5] [2 5 5 5 2 5 2 5 5 5 2 5 2 5 5 2 5 5 5 5 2 5] [5 2 5 5 5 2 5 2 5 5 5 2 5 2 5 5 2 5 5 5 5 2] [5 5 2 5 5 5 2 5 2 5 5 5 2 5 2 5 5 2 5 5 5 5] [5 5 5 2 5 5 5 2 5 2 5 5 5 2 5 2 5 5 2 5 5 5] [2 5 5 5 2 5 5 5 2 5 2 5 5 5 2 5 2 5 5 2 5 5]] ->		[[5 5 2 5 2 5 5 5 2 5 2 5 5 2 5 5 5 5 2 5 5 5] [5 5 5 4 5 4 5 5 5 4 5 4 5 5 4 5 5 5 5 4 5 5] [2 5 5 5 2 5 2 5 5 5 2 5 2 5 5 2 5 5 5 5 2 5] [5 4 5 5 5 4 5 4 5 5 5 4 5 4 5 5 4 5 5 5 5 4] [5 5 2 5 5 5 2 5 2 5 5 5 2 5 2 5 5 2 5 5 5 5] [5 5 5 4 5 5 5 4 5 4 5 5 5 4 5 4 5 5 4 5 5 5] [2 5 5 5 2 5 5 5 2 5 2 5 5 5 2 5 2 5 5 2 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: [[8 8 8 8 7 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 7 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 7 8 8 8 8 8 8 8] [7 8 8 8 8 8 8 7 8 8 8 8 8 8] [8 7 8 8 8 8 8 8 7 8 8 8 8 8] [8 8 7 8 8 8 8 8 8 7 8 8 8 8] [8 8 8 7 8 8 8 8 8 8 7 8 8 8] [8 8 8 8 7 8 8 8 8 8 8 7 8 8] [8 8 8 8 8 7 8 8 8 8 8 8 7 8] [8 8 8 8 8 8 7 8 8 8 8 8 8 7] [8 8 8 8 8 8 8 7 8 8 8 8 8 8] [8 8 8 8 8 8 8 8 7 8 8 8 8 8] [8 8 8 8 8 8 8 8 8 7 8 8 8 8] [8 8 8 8 8 8 8 8 8 8 7 8 8 8] [8 8 8 8 8 8 8 8 8 8 8 7 8 8] [8 8 8 8 8 8 8 8 8 8 8 8 7 8] [8 8 8 8 8 8 8 8 8 8 8 8 8 7] [7 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 7 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 7 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 7 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 7 8 8 8 8 8 8 8 8 8] [7 8 8 8 8 7 8 8 8 8 8 8 8 8]] -> [[8 8 8 8 7 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 4 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 7 8 8 8 8 8 8 8] [7 8 8 8 8 8 8 4 8 8 8 8 8 8] [8 4 8 8 8 8 8 8 7 8 8 8 8 8] [8 8 7 8 8 8 8 8 8 4 8 8 8 8] [8 8 8 4 8 8 8 8 8 8 7 8 8 8] [8 8 8 8 7 8 8 8 8 8 8 4 8 8] [8 8 8 8 8 4 8 8 8 8 8 8 7 8] [8 8 8 8 8 8 7 8 8 8 8 8 8 4] [8 8 8 8 8 8 8 4 8 8 8 8 8 8] [8 8 8 8 8 8 8 8 7 8 8 8 8 8] [8 8 8 8 8 8 8 8 8 4 8 8 8 8] [8 8 8 8 8 8 8 8 8 8 7 8 8 8] [8 8 8 8 8 8 8 8 8 8 8 4 8 8] [8 8 8 8 8 8 8 8 8 8 8 8 7 8] [8 8 8 8 8 8 8 8 8 8 8 8 8 4] [7 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 4 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 7 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 4 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 7 8 8 8 8 8 8 8 8 8] [7 8 8 8 8 4 8 8 8 8 8 8 8 8]]# [[3 3 3 3 3 3 3 3 3 3 3 3 6 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 6 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 6] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3]] -> [[3 3 3 3 3 3 3 3 3 3 3 3 6 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 6 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3]]# [[1 1 1 9 1 1 1 1 1 1 1 1 1 9 1 9 1 9 1 1 9 1 1 1] [9 1 1 1 9 1 1 1 1 1 1 1 1 1 9 1 9 1 9 1 1 9 1 1] [1 9 1 1 1 9 1 1 1 1 1 1 1 1 1 9 1 9 1 9 1 1 9 1] [9 1 9 1 1 1 9 1 1 1 1 1 1 1 1 1 9 1 9 1 9 1 1 9] [1 9 1 9 1 1 1 9 1 1 1 1 1 1 1 1 1 9 1 9 1 9 1 1] [1 1 9 1 9 1 1 1 9 1 1 1 1 1 1 1 1 1 9 1 9 1 9 1] [1 1 1 9 1 9 1 1 1 9 1 1 1 1 1 1 1 1 1 9 1 9 1 9] [1 1 1 1 9 1 9 1 1 1 9 1 1 1 1 1 1 1 1 1 9 1 9 1]] -> [[1 1 1 9 1 1 1 1 1 1 1 1 1 9 1 9 1 9 1 1 9 1 1 1] [9 1 1 1 4 1 1 1 1 1 1 1 1 1 4 1 4 1 4 1 1 4 1 1] [1 4 1 1 1 9 1 1 1 1 1 1 1 1 1 9 1 9 1 9 1 1 9 1] [9 1 9 1 1 1 4 1 1 1 1 1 1 1 1 1 4 1 4 1 4 1 1 4] [1 4 1 4 1 1 1 9 1 1 1 1 1 1 1 1 1 9 1 9 1 9 1 1] [1 1 9 1 9 1 1 1 4 1 1 1 1 1 1 1 1 1 4 1 4 1 4 1] [1 1 1 4 1 4 1 1 1 9 1 1 1 1 1 1 1 1 1 9 1 9 1 9] [1 1 1 1 9 1 9 1 1 1 4 1 1 1 1 1 1 1 1 1 4 1 4 1]]# [[1 2 1 1 1 2] [1 1 2 1 1 1] [2 1 1 2 1 1] [1 2 1 1 2 1] [1 1 2 1 1 2] [1 1 1 2 1 1] [1 1 1 1 2 1] [2 1 1 1 1 2] [1 2 1 1 1 1] [2 1 2 1 1 1] [1 2 1 2 1 1] [2 1 2 1 2 1] [1 2 1 2 1 2] [1 1 2 1 2 1]] -> [[1 2 1 1 1 2] [1 1 4 1 1 1] [2 1 1 2 1 1] [1 4 1 1 4 1] [1 1 2 1 1 2] [1 1 1 4 1 1] [1 1 1 1 2 1] [2 1 1 1 1 4] [1 4 1 1 1 1] [2 1 2 1 1 1] [1 4 1 4 1 1] [2 1 2 1 2 1] [1 4 1 4 1 4] [1 1 2 1 2 1]]# [[6 6 6 6 6 0 6 6 6 6 6 6 6 6 0 6 6 6] [6 6 6 6 6 6 0 6 6 6 6 6 6 6 6 0 6 6] [0 6 6 6 6 6 6 0 6 6 6 6 6 6 6 6 0 6] [6 0 6 6 6 6 6 6 0 6 6 6 6 6 6 6 6 0] [6 6 0 6 6 6 6 6 6 0 6 6 6 6 6 6 6 6] [6 6 6 0 6 6 6 6 6 6 0 6 6 6 6 6 6 6] [6 6 6 6 0 6 6 6 6 6 6 0 6 6 6 6 6 6] [6 6 6 6 6 0 6 6 6 6 6 6 0 6 6 6 6 6] [6 6 6 6 6 6 0 6 6 6 6 6 6 0 6 6 6 6] [6 6 6 6 6 6 6 0 6 6 6 6 6 6 0 6 6 6] [6 6 6 6 6 6 6 6 0 6 6 6 6 6 6 0 6 6] [6 6 6 6 6 6 6 6 6 0 6 6 6 6 6 6 0 6] [6 6 6 6 6 6 6 6 6 6 0 6 6 6 6 6 6 0] [6 6 6 6 6 6 6 6 6 6 6 0 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 0 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 0 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 0 6 6 6] [0 6 6 6 6 6 6 6 6 6 6 6 6 6 6 0 6 6] [6 0 6 6 6 6 6 6 6 6 6 6 6 6 6 6 0 6]] -> [[6 6 6 6 6 0 6 6 6 6 6 6 6 6 0 6 6 6] [6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 4 6 6] [0 6 6 6 6 6 6 0 6 6 6 6 6 6 6 6 0 6] [6 4 6 6 6 6 6 6 4 6 6 6 6 6 6 6 6 4] [6 6 0 6 6 6 6 6 6 0 6 6 6 6 6 6 6 6] [6 6 6 4 6 6 6 6 6 6 4 6 6 6 6 6 6 6] [6 6 6 6 0 6 6 6 6 6 6 0 6 6 6 6 6 6] [6 6 6 6 6 4 6 6 6 6 6 6 4 6 6 6 6 6] [6 6 6 6 6 6 0 6 6 6 6 6 6 0 6 6 6 6] [6 6 6 6 6 6 6 4 6 6 6 6 6 6 4 6 6 6] [6 6 6 6 6 6 6 6 0 6 6 6 6 6 6 0 6 6] [6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6 4 6] [6 6 6 6 6 6 6 6 6 6 0 6 6 6 6 6 6 0] [6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 0 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 0 6 6 6] [0 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6] [6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 0 6]]# There is a <image> shows all the examples before. Here is your test case: [[8 8 3 8] [8 8 8 3] [8 8 8 8] [3 8 8 8] [8 3 8 8] [8 8 3 8] [8 8 8 3] [8 8 8 8] [8 8 8 8]] ->		[[8 8 3 8] [8 8 8 4] [8 8 8 8] [3 8 8 8] [8 4 8 8] [8 8 3 8] [8 8 8 4] [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: [[1 1 1 6 1 1 1 1 1 1 1 1] [1 1 1 1 6 1 1 1 1 1 1 1] [1 1 1 1 1 6 1 1 1 1 1 1] [1 1 1 1 1 1 6 1 1 1 1 1] [6 1 1 1 1 1 1 6 1 1 1 1] [1 6 1 1 1 1 1 1 6 1 1 1] [1 1 6 1 1 1 1 1 1 6 1 1] [1 1 1 6 1 1 1 1 1 1 6 1] [1 1 1 1 6 1 1 1 1 1 1 6] [1 1 1 1 1 6 1 1 1 1 1 1] [1 1 1 1 1 1 6 1 1 1 1 1] [1 1 1 1 1 1 1 6 1 1 1 1] [6 1 1 1 1 1 1 1 6 1 1 1] [1 6 1 1 1 1 1 1 1 6 1 1] [1 1 6 1 1 1 1 1 1 1 6 1] [1 1 1 6 1 1 1 1 1 1 1 6] [1 1 1 1 6 1 1 1 1 1 1 1] [1 1 1 1 1 6 1 1 1 1 1 1] [1 1 1 1 1 1 6 1 1 1 1 1] [1 1 1 1 1 1 1 6 1 1 1 1]] -> [[1 1 1 6 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 6 1 1 1 1 1 1] [1 1 1 1 1 1 4 1 1 1 1 1] [6 1 1 1 1 1 1 6 1 1 1 1] [1 4 1 1 1 1 1 1 4 1 1 1] [1 1 6 1 1 1 1 1 1 6 1 1] [1 1 1 4 1 1 1 1 1 1 4 1] [1 1 1 1 6 1 1 1 1 1 1 6] [1 1 1 1 1 4 1 1 1 1 1 1] [1 1 1 1 1 1 6 1 1 1 1 1] [1 1 1 1 1 1 1 4 1 1 1 1] [6 1 1 1 1 1 1 1 6 1 1 1] [1 4 1 1 1 1 1 1 1 4 1 1] [1 1 6 1 1 1 1 1 1 1 6 1] [1 1 1 4 1 1 1 1 1 1 1 4] [1 1 1 1 6 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 6 1 1 1 1 1] [1 1 1 1 1 1 1 4 1 1 1 1]]# [[0 2 0 2 2 2 2 0 2 2 2 2 2 2 2 2 2] [2 0 2 0 2 2 2 2 0 2 2 2 2 2 2 2 2] [2 2 0 2 0 2 2 2 2 0 2 2 2 2 2 2 2] [2 2 2 0 2 0 2 2 2 2 0 2 2 2 2 2 2] [2 2 2 2 0 2 0 2 2 2 2 0 2 2 2 2 2] [0 2 2 2 2 0 2 0 2 2 2 2 0 2 2 2 2] [2 0 2 2 2 2 0 2 0 2 2 2 2 0 2 2 2] [2 2 0 2 2 2 2 0 2 0 2 2 2 2 0 2 2] [2 2 2 0 2 2 2 2 0 2 0 2 2 2 2 0 2] [0 2 2 2 0 2 2 2 2 0 2 0 2 2 2 2 0] [2 0 2 2 2 0 2 2 2 2 0 2 0 2 2 2 2] [2 2 0 2 2 2 0 2 2 2 2 0 2 0 2 2 2] [2 2 2 0 2 2 2 0 2 2 2 2 0 2 0 2 2] [2 2 2 2 0 2 2 2 0 2 2 2 2 0 2 0 2] [2 2 2 2 2 0 2 2 2 0 2 2 2 2 0 2 0] [0 2 2 2 2 2 0 2 2 2 0 2 2 2 2 0 2] [2 0 2 2 2 2 2 0 2 2 2 0 2 2 2 2 0] [2 2 0 2 2 2 2 2 0 2 2 2 0 2 2 2 2] [0 2 2 0 2 2 2 2 2 0 2 2 2 0 2 2 2] [2 0 2 2 0 2 2 2 2 2 0 2 2 2 0 2 2] [2 2 0 2 2 0 2 2 2 2 2 0 2 2 2 0 2] [2 2 2 0 2 2 0 2 2 2 2 2 0 2 2 2 0] [2 2 2 2 0 2 2 0 2 2 2 2 2 0 2 2 2] [2 2 2 2 2 0 2 2 0 2 2 2 2 2 0 2 2] [0 2 2 2 2 2 0 2 2 0 2 2 2 2 2 0 2] [2 0 2 2 2 2 2 0 2 2 0 2 2 2 2 2 0] [2 2 0 2 2 2 2 2 0 2 2 0 2 2 2 2 2]] -> [[0 2 0 2 2 2 2 0 2 2 2 2 2 2 2 2 2] [2 4 2 4 2 2 2 2 4 2 2 2 2 2 2 2 2] [2 2 0 2 0 2 2 2 2 0 2 2 2 2 2 2 2] [2 2 2 4 2 4 2 2 2 2 4 2 2 2 2 2 2] [2 2 2 2 0 2 0 2 2 2 2 0 2 2 2 2 2] [0 2 2 2 2 4 2 4 2 2 2 2 4 2 2 2 2] [2 4 2 2 2 2 0 2 0 2 2 2 2 0 2 2 2] [2 2 0 2 2 2 2 4 2 4 2 2 2 2 4 2 2] [2 2 2 4 2 2 2 2 0 2 0 2 2 2 2 0 2] [0 2 2 2 0 2 2 2 2 4 2 4 2 2 2 2 4] [2 4 2 2 2 4 2 2 2 2 0 2 0 2 2 2 2] [2 2 0 2 2 2 0 2 2 2 2 4 2 4 2 2 2] [2 2 2 4 2 2 2 4 2 2 2 2 0 2 0 2 2] [2 2 2 2 0 2 2 2 0 2 2 2 2 4 2 4 2] [2 2 2 2 2 4 2 2 2 4 2 2 2 2 0 2 0] [0 2 2 2 2 2 0 2 2 2 0 2 2 2 2 4 2] [2 4 2 2 2 2 2 4 2 2 2 4 2 2 2 2 0] [2 2 0 2 2 2 2 2 0 2 2 2 0 2 2 2 2] [0 2 2 4 2 2 2 2 2 4 2 2 2 4 2 2 2] [2 4 2 2 0 2 2 2 2 2 0 2 2 2 0 2 2] [2 2 0 2 2 4 2 2 2 2 2 4 2 2 2 4 2] [2 2 2 4 2 2 0 2 2 2 2 2 0 2 2 2 0] [2 2 2 2 0 2 2 4 2 2 2 2 2 4 2 2 2] [2 2 2 2 2 4 2 2 0 2 2 2 2 2 0 2 2] [0 2 2 2 2 2 0 2 2 4 2 2 2 2 2 4 2] [2 4 2 2 2 2 2 4 2 2 0 2 2 2 2 2 0] [2 2 0 2 2 2 2 2 0 2 2 4 2 2 2 2 2]]# [[2 2 2 2 9 2 2 9 2 2 9 2 2 9 2 2 2 2 2 2 2 2 2 2 2 2 2] [2 2 2 2 2 9 2 2 9 2 2 9 2 2 9 2 2 2 2 2 2 2 2 2 2 2 2] [9 2 2 2 2 2 9 2 2 9 2 2 9 2 2 9 2 2 2 2 2 2 2 2 2 2 2] [2 9 2 2 2 2 2 9 2 2 9 2 2 9 2 2 9 2 2 2 2 2 2 2 2 2 2] [2 2 9 2 2 2 2 2 9 2 2 9 2 2 9 2 2 9 2 2 2 2 2 2 2 2 2] [9 2 2 9 2 2 2 2 2 9 2 2 9 2 2 9 2 2 9 2 2 2 2 2 2 2 2] [2 9 2 2 9 2 2 2 2 2 9 2 2 9 2 2 9 2 2 9 2 2 2 2 2 2 2] [2 2 9 2 2 9 2 2 2 2 2 9 2 2 9 2 2 9 2 2 9 2 2 2 2 2 2] [9 2 2 9 2 2 9 2 2 2 2 2 9 2 2 9 2 2 9 2 2 9 2 2 2 2 2] [2 9 2 2 9 2 2 9 2 2 2 2 2 9 2 2 9 2 2 9 2 2 9 2 2 2 2] [2 2 9 2 2 9 2 2 9 2 2 2 2 2 9 2 2 9 2 2 9 2 2 9 2 2 2] [2 2 2 9 2 2 9 2 2 9 2 2 2 2 2 9 2 2 9 2 2 9 2 2 9 2 2] [9 2 2 2 9 2 2 9 2 2 9 2 2 2 2 2 9 2 2 9 2 2 9 2 2 9 2] [2 9 2 2 2 9 2 2 9 2 2 9 2 2 2 2 2 9 2 2 9 2 2 9 2 2 9] [2 2 9 2 2 2 9 2 2 9 2 2 9 2 2 2 2 2 9 2 2 9 2 2 9 2 2] [9 2 2 9 2 2 2 9 2 2 9 2 2 9 2 2 2 2 2 9 2 2 9 2 2 9 2] [2 9 2 2 9 2 2 2 9 2 2 9 2 2 9 2 2 2 2 2 9 2 2 9 2 2 9]] -> [[2 2 2 2 9 2 2 9 2 2 9 2 2 9 2 2 2 2 2 2 2 2 2 2 2 2 2] [2 2 2 2 2 4 2 2 4 2 2 4 2 2 4 2 2 2 2 2 2 2 2 2 2 2 2] [9 2 2 2 2 2 9 2 2 9 2 2 9 2 2 9 2 2 2 2 2 2 2 2 2 2 2] [2 4 2 2 2 2 2 4 2 2 4 2 2 4 2 2 4 2 2 2 2 2 2 2 2 2 2] [2 2 9 2 2 2 2 2 9 2 2 9 2 2 9 2 2 9 2 2 2 2 2 2 2 2 2] [9 2 2 4 2 2 2 2 2 4 2 2 4 2 2 4 2 2 4 2 2 2 2 2 2 2 2] [2 4 2 2 9 2 2 2 2 2 9 2 2 9 2 2 9 2 2 9 2 2 2 2 2 2 2] [2 2 9 2 2 4 2 2 2 2 2 4 2 2 4 2 2 4 2 2 4 2 2 2 2 2 2] [9 2 2 4 2 2 9 2 2 2 2 2 9 2 2 9 2 2 9 2 2 9 2 2 2 2 2] [2 4 2 2 9 2 2 4 2 2 2 2 2 4 2 2 4 2 2 4 2 2 4 2 2 2 2] [2 2 9 2 2 4 2 2 9 2 2 2 2 2 9 2 2 9 2 2 9 2 2 9 2 2 2] [2 2 2 4 2 2 9 2 2 4 2 2 2 2 2 4 2 2 4 2 2 4 2 2 4 2 2] [9 2 2 2 9 2 2 4 2 2 9 2 2 2 2 2 9 2 2 9 2 2 9 2 2 9 2] [2 4 2 2 2 4 2 2 9 2 2 4 2 2 2 2 2 4 2 2 4 2 2 4 2 2 4] [2 2 9 2 2 2 9 2 2 4 2 2 9 2 2 2 2 2 9 2 2 9 2 2 9 2 2] [9 2 2 4 2 2 2 4 2 2 9 2 2 4 2 2 2 2 2 4 2 2 4 2 2 4 2] [2 4 2 2 9 2 2 2 9 2 2 4 2 2 9 2 2 2 2 2 9 2 2 9 2 2 9]]# [[6 6 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 7 6 6 7 6 6 6 6] [6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 7 6 6 7 6 6 6] [7 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 7 6 6 7 6 6] [6 7 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 7 6 6 7 6] [6 6 7 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 7 6 6 7] [6 6 6 7 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 7 6 6] [6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 7 6] [7 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 7] [6 7 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6] [6 6 7 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 7 6] [6 6 6 7 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 7] [6 6 6 6 7 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6] [6 6 6 6 6 7 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 6 6 6 6] [6 6 6 6 6 6 7 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 6 6 6] [6 6 6 6 6 6 6 7 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 6 6] [6 6 6 6 6 6 6 6 7 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 6] [6 6 6 6 6 6 6 6 6 7 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6] [6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 7 6 6 6 6 6 6 6 7 6] [6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 7 6 6 6 6 6 6 6 7] [7 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 7 6 6 6 6 6 6 6] [6 7 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 7 6 6 6 6 6 6] [6 6 7 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 7 6 6 6 6 6]] -> [[6 6 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 7 6 6 7 6 6 6 6] [6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 4 6 6 4 6 6 4 6 6 6] [7 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 7 6 6 7 6 6] [6 4 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 4 6 6 4 6 6 4 6] [6 6 7 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 7 6 6 7] [6 6 6 4 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 4 6 6 4 6 6] [6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 7 6] [7 6 6 6 6 4 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 4 6 6 4] [6 4 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6] [6 6 7 6 6 6 6 4 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6 4 6] [6 6 6 4 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 7] [6 6 6 6 7 6 6 6 6 4 6 6 6 6 6 6 6 4 6 6 6 6 6 6 6] [6 6 6 6 6 4 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 6 6 6 6] [6 6 6 6 6 6 7 6 6 6 6 4 6 6 6 6 6 6 6 4 6 6 6 6 6] [6 6 6 6 6 6 6 4 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6 6 6] [6 6 6 6 6 6 6 6 7 6 6 6 6 4 6 6 6 6 6 6 6 4 6 6 6] [6 6 6 6 6 6 6 6 6 4 6 6 6 6 7 6 6 6 6 6 6 6 7 6 6] [6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 4 6 6 6 6 6 6 6 4 6] [6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 7 6 6 6 6 6 6 6 7] [7 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 4 6 6 6 6 6 6 6] [6 4 6 6 6 6 6 6 6 6 6 6 6 4 6 6 6 6 7 6 6 6 6 6 6] [6 6 7 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 4 6 6 6 6 6]]# There is a <image> shows all the examples before. Here is your test case: [[6 6 6 6 6 6 1 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6] [6 6 6 6 6 6 6 1 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6] [6 6 6 6 6 6 6 6 1 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6] [1 6 6 6 6 6 6 6 6 1 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 1] [6 1 6 6 6 6 6 6 6 6 1 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6] [1 6 1 6 6 6 6 6 6 6 6 1 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6] [6 1 6 1 6 6 6 6 6 6 6 6 1 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6] [6 6 1 6 1 6 6 6 6 6 6 6 6 1 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6] [6 6 6 1 6 1 6 6 6 6 6 6 6 6 1 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6] [1 6 6 6 1 6 1 6 6 6 6 6 6 6 6 1 6 6 6 6 6 1 6 6 6 6 6 6 6 6] [6 1 6 6 6 1 6 1 6 6 6 6 6 6 6 6 1 6 6 6 6 6 1 6 6 6 6 6 6 6] [6 6 1 6 6 6 1 6 1 6 6 6 6 6 6 6 6 1 6 6 6 6 6 1 6 6 6 6 6 6] [6 6 6 1 6 6 6 1 6 1 6 6 6 6 6 6 6 6 1 6 6 6 6 6 1 6 6 6 6 6] [6 6 6 6 1 6 6 6 1 6 1 6 6 6 6 6 6 6 6 1 6 6 6 6 6 1 6 6 6 6] [1 6 6 6 6 1 6 6 6 1 6 1 6 6 6 6 6 6 6 6 1 6 6 6 6 6 1 6 6 6] [6 1 6 6 6 6 1 6 6 6 1 6 1 6 6 6 6 6 6 6 6 1 6 6 6 6 6 1 6 6] [6 6 1 6 6 6 6 1 6 6 6 1 6 1 6 6 6 6 6 6 6 6 1 6 6 6 6 6 1 6] [1 6 6 1 6 6 6 6 1 6 6 6 1 6 1 6 6 6 6 6 6 6 6 1 6 6 6 6 6 1] [6 1 6 6 1 6 6 6 6 1 6 6 6 1 6 1 6 6 6 6 6 6 6 6 1 6 6 6 6 6] [6 6 1 6 6 1 6 6 6 6 1 6 6 6 1 6 1 6 6 6 6 6 6 6 6 1 6 6 6 6] [6 6 6 1 6 6 1 6 6 6 6 1 6 6 6 1 6 1 6 6 6 6 6 6 6 6 1 6 6 6] [1 6 6 6 1 6 6 1 6 6 6 6 1 6 6 6 1 6 1 6 6 6 6 6 6 6 6 1 6 6] [6 1 6 6 6 1 6 6 1 6 6 6 6 1 6 6 6 1 6 1 6 6 6 6 6 6 6 6 1 6] [6 6 1 6 6 6 1 6 6 1 6 6 6 6 1 6 6 6 1 6 1 6 6 6 6 6 6 6 6 1] [1 6 6 1 6 6 6 1 6 6 1 6 6 6 6 1 6 6 6 1 6 1 6 6 6 6 6 6 6 6] [6 1 6 6 1 6 6 6 1 6 6 1 6 6 6 6 1 6 6 6 1 6 1 6 6 6 6 6 6 6]] ->		[[6 6 6 6 6 6 1 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6 6 6] [6 6 6 6 6 6 6 4 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 4 6 6] [6 6 6 6 6 6 6 6 1 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6 1 6] [1 6 6 6 6 6 6 6 6 4 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 4] [6 4 6 6 6 6 6 6 6 6 1 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6 6 6] [1 6 1 6 6 6 6 6 6 6 6 4 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6] [6 4 6 4 6 6 6 6 6 6 6 6 1 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6 6 6] [6 6 1 6 1 6 6 6 6 6 6 6 6 4 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6] [6 6 6 4 6 4 6 6 6 6 6 6 6 6 1 6 6 6 6 6 1 6 6 6 6 6 6 6 6 6] [1 6 6 6 1 6 1 6 6 6 6 6 6 6 6 4 6 6 6 6 6 4 6 6 6 6 6 6 6 6] [6 4 6 6 6 4 6 4 6 6 6 6 6 6 6 6 1 6 6 6 6 6 1 6 6 6 6 6 6 6] [6 6 1 6 6 6 1 6 1 6 6 6 6 6 6 6 6 4 6 6 6 6 6 4 6 6 6 6 6 6] [6 6 6 4 6 6 6 4 6 4 6 6 6 6 6 6 6 6 1 6 6 6 6 6 1 6 6 6 6 6] [6 6 6 6 1 6 6 6 1 6 1 6 6 6 6 6 6 6 6 4 6 6 6 6 6 4 6 6 6 6] [1 6 6 6 6 4 6 6 6 4 6 4 6 6 6 6 6 6 6 6 1 6 6 6 6 6 1 6 6 6] [6 4 6 6 6 6 1 6 6 6 1 6 1 6 6 6 6 6 6 6 6 4 6 6 6 6 6 4 6 6] [6 6 1 6 6 6 6 4 6 6 6 4 6 4 6 6 6 6 6 6 6 6 1 6 6 6 6 6 1 6] [1 6 6 4 6 6 6 6 1 6 6 6 1 6 1 6 6 6 6 6 6 6 6 4 6 6 6 6 6 4] [6 4 6 6 1 6 6 6 6 4 6 6 6 4 6 4 6 6 6 6 6 6 6 6 1 6 6 6 6 6] [6 6 1 6 6 4 6 6 6 6 1 6 6 6 1 6 1 6 6 6 6 6 6 6 6 4 6 6 6 6] [6 6 6 4 6 6 1 6 6 6 6 4 6 6 6 4 6 4 6 6 6 6 6 6 6 6 1 6 6 6] [1 6 6 6 1 6 6 4 6 6 6 6 1 6 6 6 1 6 1 6 6 6 6 6 6 6 6 4 6 6] [6 4 6 6 6 4 6 6 1 6 6 6 6 4 6 6 6 4 6 4 6 6 6 6 6 6 6 6 1 6] [6 6 1 6 6 6 1 6 6 4 6 6 6 6 1 6 6 6 1 6 1 6 6 6 6 6 6 6 6 4] [1 6 6 4 6 6 6 4 6 6 1 6 6 6 6 4 6 6 6 4 6 4 6 6 6 6 6 6 6 6] [6 4 6 6 1 6 6 6 1 6 6 4 6 6 6 6 1 6 6 6 1 6 1 6 6 6 6 6 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: [[3 9 3 9 3 9] [9 3 9 3 9 3] [9 9 3 9 3 9] [9 9 9 3 9 3] [9 9 9 9 3 9] [3 9 9 9 9 3] [9 3 9 9 9 9] [9 9 3 9 9 9] [3 9 9 3 9 9] [9 3 9 9 3 9] [9 9 3 9 9 3] [9 9 9 3 9 9] [9 9 9 9 3 9] [9 9 9 9 9 3] [9 9 9 9 9 9] [9 9 9 9 9 9] [3 9 9 9 9 9] [9 3 9 9 9 9] [9 9 3 9 9 9] [9 9 9 3 9 9] [3 9 9 9 3 9] [9 3 9 9 9 3] [9 9 3 9 9 9] [9 9 9 3 9 9]] -> [[3 9 3 9 3 9] [9 4 9 4 9 4] [9 9 3 9 3 9] [9 9 9 4 9 4] [9 9 9 9 3 9] [3 9 9 9 9 4] [9 4 9 9 9 9] [9 9 3 9 9 9] [3 9 9 4 9 9] [9 4 9 9 3 9] [9 9 3 9 9 4] [9 9 9 4 9 9] [9 9 9 9 3 9] [9 9 9 9 9 4] [9 9 9 9 9 9] [9 9 9 9 9 9] [3 9 9 9 9 9] [9 4 9 9 9 9] [9 9 3 9 9 9] [9 9 9 4 9 9] [3 9 9 9 3 9] [9 4 9 9 9 4] [9 9 3 9 9 9] [9 9 9 4 9 9]]# [[8 1 1 1 1 1 1 1 1 8 1 1 1 1] [1 8 1 1 1 1 1 1 1 1 8 1 1 1] [8 1 8 1 1 1 1 1 1 1 1 8 1 1] [1 8 1 8 1 1 1 1 1 1 1 1 8 1] [1 1 8 1 8 1 1 1 1 1 1 1 1 8] [8 1 1 8 1 8 1 1 1 1 1 1 1 1] [1 8 1 1 8 1 8 1 1 1 1 1 1 1] [1 1 8 1 1 8 1 8 1 1 1 1 1 1] [1 1 1 8 1 1 8 1 8 1 1 1 1 1] [1 1 1 1 8 1 1 8 1 8 1 1 1 1] [1 1 1 1 1 8 1 1 8 1 8 1 1 1] [1 1 1 1 1 1 8 1 1 8 1 8 1 1] [1 1 1 1 1 1 1 8 1 1 8 1 8 1] [8 1 1 1 1 1 1 1 8 1 1 8 1 8] [1 8 1 1 1 1 1 1 1 8 1 1 8 1] [1 1 8 1 1 1 1 1 1 1 8 1 1 8] [8 1 1 8 1 1 1 1 1 1 1 8 1 1]] -> [[8 1 1 1 1 1 1 1 1 8 1 1 1 1] [1 4 1 1 1 1 1 1 1 1 4 1 1 1] [8 1 8 1 1 1 1 1 1 1 1 8 1 1] [1 4 1 4 1 1 1 1 1 1 1 1 4 1] [1 1 8 1 8 1 1 1 1 1 1 1 1 8] [8 1 1 4 1 4 1 1 1 1 1 1 1 1] [1 4 1 1 8 1 8 1 1 1 1 1 1 1] [1 1 8 1 1 4 1 4 1 1 1 1 1 1] [1 1 1 4 1 1 8 1 8 1 1 1 1 1] [1 1 1 1 8 1 1 4 1 4 1 1 1 1] [1 1 1 1 1 4 1 1 8 1 8 1 1 1] [1 1 1 1 1 1 8 1 1 4 1 4 1 1] [1 1 1 1 1 1 1 4 1 1 8 1 8 1] [8 1 1 1 1 1 1 1 8 1 1 4 1 4] [1 4 1 1 1 1 1 1 1 4 1 1 8 1] [1 1 8 1 1 1 1 1 1 1 8 1 1 4] [8 1 1 4 1 1 1 1 1 1 1 4 1 1]]# [[1 5 1 1 1 5 1 1 1 1 1 1] [1 1 5 1 1 1 5 1 1 1 1 1] [1 1 1 5 1 1 1 5 1 1 1 1] [1 1 1 1 5 1 1 1 5 1 1 1] [1 1 1 1 1 5 1 1 1 5 1 1] [1 1 1 1 1 1 5 1 1 1 5 1] [1 1 1 1 1 1 1 5 1 1 1 5] [1 1 1 1 1 1 1 1 5 1 1 1] [5 1 1 1 1 1 1 1 1 5 1 1]] -> [[1 5 1 1 1 5 1 1 1 1 1 1] [1 1 4 1 1 1 4 1 1 1 1 1] [1 1 1 5 1 1 1 5 1 1 1 1] [1 1 1 1 4 1 1 1 4 1 1 1] [1 1 1 1 1 5 1 1 1 5 1 1] [1 1 1 1 1 1 4 1 1 1 4 1] [1 1 1 1 1 1 1 5 1 1 1 5] [1 1 1 1 1 1 1 1 4 1 1 1] [5 1 1 1 1 1 1 1 1 5 1 1]]# [[2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5 2 5 2 2 2 2 5 2] [5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5 2 5 2 2 2 2 5] [2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5 2 5 2 2 2 2] [2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5 2 5 2 2 2] [5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5 2 5 2 2] [2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5 2 5 2] [2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5 2 5] [2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5 2] [5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5] [2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2] [5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2] [2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2] [2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5] [5 2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2] [2 5 2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2] [5 2 5 2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2 5] [2 5 2 5 2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2 2] [2 2 5 2 5 2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5 2] [2 2 2 5 2 5 2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2 5] [2 2 2 2 5 2 5 2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2 2] [2 2 2 2 2 5 2 5 2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5 2] [2 2 2 2 2 2 5 2 5 2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2 5] [5 2 2 2 2 2 2 5 2 5 2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5 2] [2 5 2 2 2 2 2 2 5 2 5 2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2 5] [5 2 5 2 2 2 2 2 2 5 2 5 2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2 2] [2 5 2 5 2 2 2 2 2 2 5 2 5 2 2 5 2 5 2 2 2 5 2 2 5 2 5 2 2]] -> [[2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5 2 5 2 2 2 2 5 2] [5 2 4 2 2 2 4 2 4 2 2 4 2 2 4 2 2 4 2 2 2 4 2 4 2 2 2 2 4] [2 4 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5 2 5 2 2 2 2] [2 2 5 2 4 2 2 2 4 2 4 2 2 4 2 2 4 2 2 4 2 2 2 4 2 4 2 2 2] [5 2 2 4 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5 2 5 2 2] [2 4 2 2 5 2 4 2 2 2 4 2 4 2 2 4 2 2 4 2 2 4 2 2 2 4 2 4 2] [2 2 5 2 2 4 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5 2 5] [2 2 2 4 2 2 5 2 4 2 2 2 4 2 4 2 2 4 2 2 4 2 2 4 2 2 2 4 2] [5 2 2 2 5 2 2 4 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2 2 5] [2 4 2 2 2 4 2 2 5 2 4 2 2 2 4 2 4 2 2 4 2 2 4 2 2 4 2 2 2] [5 2 5 2 2 2 5 2 2 4 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5 2 2] [2 4 2 4 2 2 2 4 2 2 5 2 4 2 2 2 4 2 4 2 2 4 2 2 4 2 2 4 2] [2 2 5 2 5 2 2 2 5 2 2 4 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2 2 5] [5 2 2 4 2 4 2 2 2 4 2 2 5 2 4 2 2 2 4 2 4 2 2 4 2 2 4 2 2] [2 4 2 2 5 2 5 2 2 2 5 2 2 4 2 5 2 2 2 5 2 5 2 2 5 2 2 5 2] [5 2 5 2 2 4 2 4 2 2 2 4 2 2 5 2 4 2 2 2 4 2 4 2 2 4 2 2 4] [2 4 2 4 2 2 5 2 5 2 2 2 5 2 2 4 2 5 2 2 2 5 2 5 2 2 5 2 2] [2 2 5 2 5 2 2 4 2 4 2 2 2 4 2 2 5 2 4 2 2 2 4 2 4 2 2 4 2] [2 2 2 4 2 4 2 2 5 2 5 2 2 2 5 2 2 4 2 5 2 2 2 5 2 5 2 2 5] [2 2 2 2 5 2 5 2 2 4 2 4 2 2 2 4 2 2 5 2 4 2 2 2 4 2 4 2 2] [2 2 2 2 2 4 2 4 2 2 5 2 5 2 2 2 5 2 2 4 2 5 2 2 2 5 2 5 2] [2 2 2 2 2 2 5 2 5 2 2 4 2 4 2 2 2 4 2 2 5 2 4 2 2 2 4 2 4] [5 2 2 2 2 2 2 4 2 4 2 2 5 2 5 2 2 2 5 2 2 4 2 5 2 2 2 5 2] [2 4 2 2 2 2 2 2 5 2 5 2 2 4 2 4 2 2 2 4 2 2 5 2 4 2 2 2 4] [5 2 5 2 2 2 2 2 2 4 2 4 2 2 5 2 5 2 2 2 5 2 2 4 2 5 2 2 2] [2 4 2 4 2 2 2 2 2 2 5 2 5 2 2 4 2 4 2 2 2 4 2 2 5 2 4 2 2]]# There is a <image> shows all the examples before. Here is your test case: [[5 5 5 5 1 5 5 1 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5] [5 5 5 5 5 1 5 5 1 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5] [5 5 5 5 5 5 1 5 5 1 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5] [5 5 5 5 5 5 5 1 5 5 1 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5] [5 5 5 5 5 5 5 5 1 5 5 1 5 5 5 5 5 5 5 5 1 5 5 5 5 5] [1 5 5 5 5 5 5 5 5 1 5 5 1 5 5 5 5 5 5 5 5 1 5 5 5 5] [5 1 5 5 5 5 5 5 5 5 1 5 5 1 5 5 5 5 5 5 5 5 1 5 5 5] [5 5 1 5 5 5 5 5 5 5 5 1 5 5 1 5 5 5 5 5 5 5 5 1 5 5] [5 5 5 1 5 5 5 5 5 5 5 5 1 5 5 1 5 5 5 5 5 5 5 5 1 5] [5 5 5 5 1 5 5 5 5 5 5 5 5 1 5 5 1 5 5 5 5 5 5 5 5 1] [5 5 5 5 5 1 5 5 5 5 5 5 5 5 1 5 5 1 5 5 5 5 5 5 5 5] [5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 1 5 5 1 5 5 5 5 5 5 5] [1 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 1 5 5 1 5 5 5 5 5 5] [5 1 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 1 5 5 1 5 5 5 5 5] [1 5 1 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 1 5 5 1 5 5 5 5] [5 1 5 1 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 1 5 5 1 5 5 5] [5 5 1 5 1 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 1 5 5 1 5 5] [1 5 5 1 5 1 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 1 5 5 1 5]] ->		[[5 5 5 5 1 5 5 1 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 5] [5 5 5 5 5 4 5 5 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5] [5 5 5 5 5 5 1 5 5 1 5 5 5 5 5 5 5 5 1 5 5 5 5 5 5 5] [5 5 5 5 5 5 5 4 5 5 4 5 5 5 5 5 5 5 5 4 5 5 5 5 5 5] [5 5 5 5 5 5 5 5 1 5 5 1 5 5 5 5 5 5 5 5 1 5 5 5 5 5] [1 5 5 5 5 5 5 5 5 4 5 5 4 5 5 5 5 5 5 5 5 4 5 5 5 5] [5 4 5 5 5 5 5 5 5 5 1 5 5 1 5 5 5 5 5 5 5 5 1 5 5 5] [5 5 1 5 5 5 5 5 5 5 5 4 5 5 4 5 5 5 5 5 5 5 5 4 5 5] [5 5 5 4 5 5 5 5 5 5 5 5 1 5 5 1 5 5 5 5 5 5 5 5 1 5] [5 5 5 5 1 5 5 5 5 5 5 5 5 4 5 5 4 5 5 5 5 5 5 5 5 4] [5 5 5 5 5 4 5 5 5 5 5 5 5 5 1 5 5 1 5 5 5 5 5 5 5 5] [5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 4 5 5 4 5 5 5 5 5 5 5] [1 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 1 5 5 1 5 5 5 5 5 5] [5 4 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 4 5 5 4 5 5 5 5 5] [1 5 1 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 1 5 5 1 5 5 5 5] [5 4 5 4 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 4 5 5 4 5 5 5] [5 5 1 5 1 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 1 5 5 1 5 5] [1 5 5 4 5 4 5 5 5 5 5 5 1 5 5 5 5 5 5 5 5 4 5 5 4 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: [[8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8] [9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9] [8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8]] -> [[8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8] [9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4] [8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8] [8 8 8 8 8 8 8 8 8 4 8 8 8 8 8 8 8 8 8 8 8 8 8 8]]# [[1 1 1 7] [7 1 1 1] [1 7 1 1] [1 1 7 1] [1 1 1 7] [1 1 1 1] [1 1 1 1]] -> [[1 1 1 7] [7 1 1 1] [1 4 1 1] [1 1 7 1] [1 1 1 4] [1 1 1 1] [1 1 1 1]]# [[6 6 6 6 6 6] [6 6 6 6 6 6] [8 6 6 6 6 6] [6 8 6 6 6 6] [8 6 8 6 6 6] [6 8 6 8 6 6] [6 6 8 6 8 6] [6 6 6 8 6 8] [6 6 6 6 8 6] [6 6 6 6 6 8] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [8 6 6 6 6 6] [6 8 6 6 6 6] [6 6 8 6 6 6] [6 6 6 8 6 6] [6 6 6 6 8 6] [6 6 6 6 6 8] [6 6 6 6 6 6]] -> [[6 6 6 6 6 6] [6 6 6 6 6 6] [8 6 6 6 6 6] [6 4 6 6 6 6] [8 6 8 6 6 6] [6 4 6 4 6 6] [6 6 8 6 8 6] [6 6 6 4 6 4] [6 6 6 6 8 6] [6 6 6 6 6 4] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [6 6 6 6 6 6] [8 6 6 6 6 6] [6 4 6 6 6 6] [6 6 8 6 6 6] [6 6 6 4 6 6] [6 6 6 6 8 6] [6 6 6 6 6 4] [6 6 6 6 6 6]]# There is a <image> shows all the examples before. Here is your test case: [[3 3 3] [3 3 3] [3 3 3] [3 3 3] [3 3 3] [3 3 3] [3 3 3] [3 3 3] [6 3 3] [3 6 3] [3 3 6] [3 3 3] [3 3 3] [3 3 3] [3 3 3] [3 3 3] [3 3 3] [3 3 3] [3 3 3] [3 3 3] [3 3 3] [6 3 3]] ->		[[3 3 3] [3 3 3] [3 3 3] [3 3 3] [3 3 3] [3 3 3] [3 3 3] [3 3 3] [6 3 3] [3 4 3] [3 3 6] [3 3 3] [3 3 3] [3 3 3] [3 3 3] [3 3 3] [3 3 3] [3 3 3] [3 3 3] [3 3 3] [3 3 3] [6 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: [[6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 3 6 6 6 6 6 6 6 6 6 6 6 6 6] [3 6 6 6 6 6 3 6 6 6 6 6 6 6 6 6 6 6 6] [6 3 6 6 6 6 6 3 6 6 6 6 6 6 6 6 6 6 6] [6 6 3 6 6 6 6 6 3 6 6 6 6 6 6 6 6 6 6] [6 6 6 3 6 6 6 6 6 3 6 6 6 6 6 6 6 6 6] [6 6 6 6 3 6 6 6 6 6 3 6 6 6 6 6 6 6 6] [6 6 6 6 6 3 6 6 6 6 6 3 6 6 6 6 6 6 6] [3 6 6 6 6 6 3 6 6 6 6 6 3 6 6 6 6 6 6] [6 3 6 6 6 6 6 3 6 6 6 6 6 3 6 6 6 6 6] [6 6 3 6 6 6 6 6 3 6 6 6 6 6 3 6 6 6 6] [3 6 6 3 6 6 6 6 6 3 6 6 6 6 6 3 6 6 6] [6 3 6 6 3 6 6 6 6 6 3 6 6 6 6 6 3 6 6] [3 6 3 6 6 3 6 6 6 6 6 3 6 6 6 6 6 3 6] [6 3 6 3 6 6 3 6 6 6 6 6 3 6 6 6 6 6 3] [6 6 3 6 3 6 6 3 6 6 6 6 6 3 6 6 6 6 6] [3 6 6 3 6 3 6 6 3 6 6 6 6 6 3 6 6 6 6] [6 3 6 6 3 6 3 6 6 3 6 6 6 6 6 3 6 6 6] [3 6 3 6 6 3 6 3 6 6 3 6 6 6 6 6 3 6 6]] -> [[6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6] [6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6 6 6] [3 6 6 6 6 6 3 6 6 6 6 6 6 6 6 6 6 6 6] [6 4 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6 6 6] [6 6 3 6 6 6 6 6 3 6 6 6 6 6 6 6 6 6 6] [6 6 6 4 6 6 6 6 6 4 6 6 6 6 6 6 6 6 6] [6 6 6 6 3 6 6 6 6 6 3 6 6 6 6 6 6 6 6] [6 6 6 6 6 4 6 6 6 6 6 4 6 6 6 6 6 6 6] [3 6 6 6 6 6 3 6 6 6 6 6 3 6 6 6 6 6 6] [6 4 6 6 6 6 6 4 6 6 6 6 6 4 6 6 6 6 6] [6 6 3 6 6 6 6 6 3 6 6 6 6 6 3 6 6 6 6] [3 6 6 4 6 6 6 6 6 4 6 6 6 6 6 4 6 6 6] [6 4 6 6 3 6 6 6 6 6 3 6 6 6 6 6 3 6 6] [3 6 3 6 6 4 6 6 6 6 6 4 6 6 6 6 6 4 6] [6 4 6 4 6 6 3 6 6 6 6 6 3 6 6 6 6 6 3] [6 6 3 6 3 6 6 4 6 6 6 6 6 4 6 6 6 6 6] [3 6 6 4 6 4 6 6 3 6 6 6 6 6 3 6 6 6 6] [6 4 6 6 3 6 3 6 6 4 6 6 6 6 6 4 6 6 6] [3 6 3 6 6 4 6 4 6 6 3 6 6 6 6 6 3 6 6]]# [[3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 0] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3] [0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3] [3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3] [0 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0]] -> [[3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3 0 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 4] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3 3 3] [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3 3 3] [0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 3 3] [3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 0 3] [0 3 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4]]# There is a <image> shows all the examples before. Here is your test case: [[5 1 1] [1 5 1] [5 1 5] [1 5 1] [1 1 5] [1 1 1] [1 1 1] [1 1 1] [1 1 1] [1 1 1] [1 1 1] [1 1 1] [1 1 1] [1 1 1] [1 1 1] [1 1 1] [5 1 1] [1 5 1]] ->		[[5 1 1] [1 4 1] [5 1 5] [1 4 1] [1 1 5] [1 1 1] [1 1 1] [1 1 1] [1 1 1] [1 1 1] [1 1 1] [1 1 1] [1 1 1] [1 1 1] [1 1 1] [1 1 1] [5 1 1] [1 4 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: [[9 9 2 9 9 2 9 9 9 9 9 9 2 9 9 9] [9 9 9 2 9 9 2 9 9 9 9 9 9 2 9 9] [9 9 9 9 2 9 9 2 9 9 9 9 9 9 2 9] [9 9 9 9 9 2 9 9 2 9 9 9 9 9 9 2] [2 9 9 9 9 9 2 9 9 2 9 9 9 9 9 9] [9 2 9 9 9 9 9 2 9 9 2 9 9 9 9 9] [9 9 2 9 9 9 9 9 2 9 9 2 9 9 9 9] [9 9 9 2 9 9 9 9 9 2 9 9 2 9 9 9] [9 9 9 9 2 9 9 9 9 9 2 9 9 2 9 9] [9 9 9 9 9 2 9 9 9 9 9 2 9 9 2 9] [9 9 9 9 9 9 2 9 9 9 9 9 2 9 9 2] [9 9 9 9 9 9 9 2 9 9 9 9 9 2 9 9] [9 9 9 9 9 9 9 9 2 9 9 9 9 9 2 9] [9 9 9 9 9 9 9 9 9 2 9 9 9 9 9 2] [9 9 9 9 9 9 9 9 9 9 2 9 9 9 9 9] [2 9 9 9 9 9 9 9 9 9 9 2 9 9 9 9] [9 2 9 9 9 9 9 9 9 9 9 9 2 9 9 9] [9 9 2 9 9 9 9 9 9 9 9 9 9 2 9 9] [9 9 9 2 9 9 9 9 9 9 9 9 9 9 2 9]] -> [[9 9 2 9 9 2 9 9 9 9 9 9 2 9 9 9] [9 9 9 4 9 9 4 9 9 9 9 9 9 4 9 9] [9 9 9 9 2 9 9 2 9 9 9 9 9 9 2 9] [9 9 9 9 9 4 9 9 4 9 9 9 9 9 9 4] [2 9 9 9 9 9 2 9 9 2 9 9 9 9 9 9] [9 4 9 9 9 9 9 4 9 9 4 9 9 9 9 9] [9 9 2 9 9 9 9 9 2 9 9 2 9 9 9 9] [9 9 9 4 9 9 9 9 9 4 9 9 4 9 9 9] [9 9 9 9 2 9 9 9 9 9 2 9 9 2 9 9] [9 9 9 9 9 4 9 9 9 9 9 4 9 9 4 9] [9 9 9 9 9 9 2 9 9 9 9 9 2 9 9 2] [9 9 9 9 9 9 9 4 9 9 9 9 9 4 9 9] [9 9 9 9 9 9 9 9 2 9 9 9 9 9 2 9] [9 9 9 9 9 9 9 9 9 4 9 9 9 9 9 4] [9 9 9 9 9 9 9 9 9 9 2 9 9 9 9 9] [2 9 9 9 9 9 9 9 9 9 9 4 9 9 9 9] [9 4 9 9 9 9 9 9 9 9 9 9 2 9 9 9] [9 9 2 9 9 9 9 9 9 9 9 9 9 4 9 9] [9 9 9 4 9 9 9 9 9 9 9 9 9 9 2 9]]# [[0 2 2 2 2 2 0 2] [2 0 2 2 2 2 2 0] [2 2 0 2 2 2 2 2] [0 2 2 0 2 2 2 2] [2 0 2 2 0 2 2 2] [2 2 0 2 2 0 2 2] [2 2 2 0 2 2 0 2]] -> [[0 2 2 2 2 2 0 2] [2 4 2 2 2 2 2 4] [2 2 0 2 2 2 2 2] [0 2 2 4 2 2 2 2] [2 4 2 2 0 2 2 2] [2 2 0 2 2 4 2 2] [2 2 2 4 2 2 0 2]]# There is a <image> shows all the examples before. Here is your test case: [[0 2 0 2 2 2 2 0 2 2 2 0 2 0 2 0 2 2 0 2 2] [2 0 2 0 2 2 2 2 0 2 2 2 0 2 0 2 0 2 2 0 2] [2 2 0 2 0 2 2 2 2 0 2 2 2 0 2 0 2 0 2 2 0] [2 2 2 0 2 0 2 2 2 2 0 2 2 2 0 2 0 2 0 2 2] [2 2 2 2 0 2 0 2 2 2 2 0 2 2 2 0 2 0 2 0 2] [2 2 2 2 2 0 2 0 2 2 2 2 0 2 2 2 0 2 0 2 0]] ->		[[0 2 0 2 2 2 2 0 2 2 2 0 2 0 2 0 2 2 0 2 2] [2 4 2 4 2 2 2 2 4 2 2 2 4 2 4 2 4 2 2 4 2] [2 2 0 2 0 2 2 2 2 0 2 2 2 0 2 0 2 0 2 2 0] [2 2 2 4 2 4 2 2 2 2 4 2 2 2 4 2 4 2 4 2 2] [2 2 2 2 0 2 0 2 2 2 2 0 2 2 2 0 2 0 2 0 2] [2 2 2 2 2 4 2 4 2 2 2 2 4 2 2 2 4 2 4 2 4]]