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{"test": [{"input": [[5, 4, 4, 8, 1, 1, 5, 5, 8, 6, 6, 6, 6, 6, 6, 6, 6, 8, 3, 8, 3, 1, 5, 8, 5, 5, 1, 1, 8, 4], [4, 8, 8, 8, 1, 1, 5, 8, 5, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 3, 7, 3, 1, 5, 8, 5, 1, 1, 8, 8], [4, 8, 5, 2, 5, 5, 2, 2, 1, 6, 6, 6, 6, 6, 6, 6, 6, 3, 8, 8, 1, 2, 3, 1, 2, 2, 5, 5, 2, 5], [8, 8, 2, 5, 5, 8, 2, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 8, 2, 8, 8, 1, 7, 3, 3, 2, 8, 5, 5, 2], [1, 1, 5, 5, 1, 2, 4, 3, 8, 6, 6, 6, 6, 6, 6, 6, 6, 9, 2, 7, 8, 8, 3, 8, 3, 4, 2, 1, 5, 5], [1, 1, 5, 8, 2, 2, 3, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 5, 7, 2, 2, 8, 8, 3, 4, 3, 2, 2, 8, 5], [5, 5, 2, 2, 4, 3, 7, 7, 8, 8, 3, 8, 9, 5, 4, 3, 3, 4, 5, 9, 8, 3, 8, 8, 7, 7, 3, 4, 2, 2], [5, 8, 2, 3, 3, 4, 7, 7, 8, 2, 8, 8, 5, 9, 3, 3, 3, 3, 9, 5, 8, 8, 2, 6, 6, 6, 6, 6, 3, 2], [8, 5, 1, 3, 8, 3, 8, 8, 2, 1, 5, 7, 4, 5, 2, 2, 2, 2, 5, 4, 7, 5, 1, 6, 6, 6, 6, 6, 3, 1], [5, 1, 3, 7, 3, 8, 8, 2, 1, 5, 7, 1, 5, 5, 2, 9, 9, 2, 5, 5, 1, 7, 5, 6, 6, 6, 6, 6, 7, 3], [1, 3, 2, 1, 8, 8, 3, 8, 5, 7, 9, 9, 2, 2, 5, 5, 5, 5, 2, 2, 9, 9, 7, 6, 6, 6, 6, 6, 1, 2], [3, 7, 1, 8, 8, 2, 8, 8, 7, 1, 9, 4, 2, 9, 5, 5, 5, 5, 9, 2, 4, 9, 1, 6, 6, 6, 6, 6, 8, 1], [8, 3, 8, 8, 7, 2, 9, 5, 4, 5, 2, 2, 4, 3, 5, 7, 7, 5, 3, 4, 2, 2, 5, 6, 6, 6, 6, 6, 8, 8], [3, 8, 8, 2, 2, 7, 5, 9, 5, 5, 2, 9, 3, 1, 7, 3, 3, 7, 1, 3, 9, 2, 5, 6, 6, 6, 6, 6, 2, 8], [8, 8, 3, 8, 9, 5, 4, 3, 2, 2, 5, 5, 5, 7, 1, 7, 7, 1, 7, 5, 5, 5, 2, 6, 6, 6, 6, 9, 8, 3], [8, 2, 8, 8, 5, 6, 6, 6, 6, 6, 6, 6, 7, 3, 7, 1, 1, 7, 3, 7, 5, 5, 9, 6, 6, 6, 6, 5, 8, 8], [8, 2, 8, 8, 5, 6, 6, 6, 6, 6, 6, 6, 7, 3, 7, 1, 1, 7, 3, 7, 5, 5, 9, 6, 6, 6, 6, 5, 8, 8], [8, 8, 3, 8, 9, 6, 6, 6, 6, 6, 6, 6, 5, 7, 1, 7, 7, 1, 7, 5, 5, 5, 2, 6, 6, 6, 6, 9, 8, 3], [3, 8, 8, 2, 2, 6, 6, 6, 6, 6, 6, 6, 3, 1, 7, 3, 3, 7, 1, 3, 9, 2, 5, 5, 9, 5, 7, 2, 2, 8], [8, 3, 8, 8, 7, 6, 6, 6, 6, 6, 6, 6, 4, 3, 5, 7, 7, 5, 3, 6, 6, 6, 6, 4, 5, 9, 2, 7, 8, 8], [3, 7, 1, 8, 8, 2, 8, 8, 7, 1, 9, 4, 2, 9, 5, 5, 5, 5, 9, 6, 6, 6, 6, 7, 8, 8, 2, 8, 8, 1], [1, 3, 2, 1, 8, 8, 3, 8, 5, 7, 9, 9, 2, 2, 5, 5, 5, 5, 2, 2, 9, 9, 7, 5, 8, 3, 8, 8, 1, 2], [5, 1, 3, 7, 3, 8, 8, 2, 1, 5, 7, 1, 5, 5, 2, 9, 9, 2, 5, 5, 1, 7, 5, 1, 2, 8, 8, 3, 7, 3], [8, 5, 1, 3, 8, 3, 8, 8, 2, 1, 5, 7, 4, 5, 2, 2, 2, 2, 5, 4, 7, 5, 1, 2, 8, 8, 3, 8, 3, 1], [5, 8, 2, 3, 3, 4, 7, 7, 8, 2, 8, 8, 5, 9, 3, 3, 3, 3, 9, 5, 8, 8, 2, 8, 7, 7, 4, 3, 3, 2], [5, 5, 2, 2, 4, 3, 7, 7, 8, 8, 3, 8, 9, 5, 4, 3, 3, 4, 5, 9, 8, 3, 8, 8, 7, 7, 3, 4, 2, 2], [1, 1, 5, 8, 2, 2, 3, 4, 3, 8, 8, 2, 2, 7, 5, 9, 9, 5, 7, 2, 2, 8, 8, 3, 4, 3, 2, 2, 8, 5], [1, 1, 5, 5, 1, 2, 4, 3, 8, 3, 8, 8, 7, 2, 9, 5, 5, 9, 2, 7, 8, 8, 3, 8, 3, 4, 2, 1, 5, 5], [8, 8, 2, 5, 5, 8, 2, 3, 3, 7, 1, 8, 8, 2, 8, 8, 8, 8, 2, 8, 8, 1, 7, 3, 3, 2, 8, 5, 5, 2], [4, 8, 5, 2, 5, 5, 2, 2, 1, 3, 2, 1, 8, 8, 3, 8, 8, 3, 8, 8, 1, 2, 3, 1, 2, 2, 5, 5, 2, 5]], "output": [[5, 4, 4, 8, 1, 1, 5, 5, 8, 5, 1, 3, 8, 3, 8, 8, 8, 8, 3, 8, 3, 1, 5, 8, 5, 5, 1, 1, 8, 4], [4, 8, 8, 8, 1, 1, 5, 8, 5, 1, 3, 7, 3, 8, 8, 2, 2, 8, 8, 3, 7, 3, 1, 5, 8, 5, 1, 1, 8, 8], [4, 8, 5, 2, 5, 5, 2, 2, 1, 3, 2, 1, 8, 8, 3, 8, 8, 3, 8, 8, 1, 2, 3, 1, 2, 2, 5, 5, 2, 5], [8, 8, 2, 5, 5, 8, 2, 3, 3, 7, 1, 8, 8, 2, 8, 8, 8, 8, 2, 8, 8, 1, 7, 3, 3, 2, 8, 5, 5, 2], [1, 1, 5, 5, 1, 2, 4, 3, 8, 3, 8, 8, 7, 2, 9, 5, 5, 9, 2, 7, 8, 8, 3, 8, 3, 4, 2, 1, 5, 5], [1, 1, 5, 8, 2, 2, 3, 4, 3, 8, 8, 2, 2, 7, 5, 9, 9, 5, 7, 2, 2, 8, 8, 3, 4, 3, 2, 2, 8, 5], [5, 5, 2, 2, 4, 3, 7, 7, 8, 8, 3, 8, 9, 5, 4, 3, 3, 4, 5, 9, 8, 3, 8, 8, 7, 7, 3, 4, 2, 2], [5, 8, 2, 3, 3, 4, 7, 7, 8, 2, 8, 8, 5, 9, 3, 3, 3, 3, 9, 5, 8, 8, 2, 8, 7, 7, 4, 3, 3, 2], [8, 5, 1, 3, 8, 3, 8, 8, 2, 1, 5, 7, 4, 5, 2, 2, 2, 2, 5, 4, 7, 5, 1, 2, 8, 8, 3, 8, 3, 1], [5, 1, 3, 7, 3, 8, 8, 2, 1, 5, 7, 1, 5, 5, 2, 9, 9, 2, 5, 5, 1, 7, 5, 1, 2, 8, 8, 3, 7, 3], [1, 3, 2, 1, 8, 8, 3, 8, 5, 7, 9, 9, 2, 2, 5, 5, 5, 5, 2, 2, 9, 9, 7, 5, 8, 3, 8, 8, 1, 2], [3, 7, 1, 8, 8, 2, 8, 8, 7, 1, 9, 4, 2, 9, 5, 5, 5, 5, 9, 2, 4, 9, 1, 7, 8, 8, 2, 8, 8, 1], [8, 3, 8, 8, 7, 2, 9, 5, 4, 5, 2, 2, 4, 3, 5, 7, 7, 5, 3, 4, 2, 2, 5, 4, 5, 9, 2, 7, 8, 8], [3, 8, 8, 2, 2, 7, 5, 9, 5, 5, 2, 9, 3, 1, 7, 3, 3, 7, 1, 3, 9, 2, 5, 5, 9, 5, 7, 2, 2, 8], [8, 8, 3, 8, 9, 5, 4, 3, 2, 2, 5, 5, 5, 7, 1, 7, 7, 1, 7, 5, 5, 5, 2, 2, 3, 4, 5, 9, 8, 3], [8, 2, 8, 8, 5, 9, 3, 3, 2, 9, 5, 5, 7, 3, 7, 1, 1, 7, 3, 7, 5, 5, 9, 2, 3, 3, 9, 5, 8, 8], [8, 2, 8, 8, 5, 9, 3, 3, 2, 9, 5, 5, 7, 3, 7, 1, 1, 7, 3, 7, 5, 5, 9, 2, 3, 3, 9, 5, 8, 8], [8, 8, 3, 8, 9, 5, 4, 3, 2, 2, 5, 5, 5, 7, 1, 7, 7, 1, 7, 5, 5, 5, 2, 2, 3, 4, 5, 9, 8, 3], [3, 8, 8, 2, 2, 7, 5, 9, 5, 5, 2, 9, 3, 1, 7, 3, 3, 7, 1, 3, 9, 2, 5, 5, 9, 5, 7, 2, 2, 8], [8, 3, 8, 8, 7, 2, 9, 5, 4, 5, 2, 2, 4, 3, 5, 7, 7, 5, 3, 4, 2, 2, 5, 4, 5, 9, 2, 7, 8, 8], [3, 7, 1, 8, 8, 2, 8, 8, 7, 1, 9, 4, 2, 9, 5, 5, 5, 5, 9, 2, 4, 9, 1, 7, 8, 8, 2, 8, 8, 1], [1, 3, 2, 1, 8, 8, 3, 8, 5, 7, 9, 9, 2, 2, 5, 5, 5, 5, 2, 2, 9, 9, 7, 5, 8, 3, 8, 8, 1, 2], [5, 1, 3, 7, 3, 8, 8, 2, 1, 5, 7, 1, 5, 5, 2, 9, 9, 2, 5, 5, 1, 7, 5, 1, 2, 8, 8, 3, 7, 3], [8, 5, 1, 3, 8, 3, 8, 8, 2, 1, 5, 7, 4, 5, 2, 2, 2, 2, 5, 4, 7, 5, 1, 2, 8, 8, 3, 8, 3, 1], [5, 8, 2, 3, 3, 4, 7, 7, 8, 2, 8, 8, 5, 9, 3, 3, 3, 3, 9, 5, 8, 8, 2, 8, 7, 7, 4, 3, 3, 2], [5, 5, 2, 2, 4, 3, 7, 7, 8, 8, 3, 8, 9, 5, 4, 3, 3, 4, 5, 9, 8, 3, 8, 8, 7, 7, 3, 4, 2, 2], [1, 1, 5, 8, 2, 2, 3, 4, 3, 8, 8, 2, 2, 7, 5, 9, 9, 5, 7, 2, 2, 8, 8, 3, 4, 3, 2, 2, 8, 5], [1, 1, 5, 5, 1, 2, 4, 3, 8, 3, 8, 8, 7, 2, 9, 5, 5, 9, 2, 7, 8, 8, 3, 8, 3, 4, 2, 1, 5, 5], [8, 8, 2, 5, 5, 8, 2, 3, 3, 7, 1, 8, 8, 2, 8, 8, 8, 8, 2, 8, 8, 1, 7, 3, 3, 2, 8, 5, 5, 2], [4, 8, 5, 2, 5, 5, 2, 2, 1, 3, 2, 1, 8, 8, 3, 8, 8, 3, 8, 8, 1, 2, 3, 1, 2, 2, 5, 5, 2, 5]]}], "train": [{"input": [[8, 9, 5, 5, 9, 4, 8, 8, 4, 5, 7, 7, 3, 6, 6, 6, 7, 7, 1, 3, 7, 7, 5, 4, 8, 8, 4, 9, 5, 5], [9, 8, 5, 8, 4, 9, 8, 8, 5, 4, 7, 7, 1, 6, 6, 6, 9, 7, 7, 1, 7, 7, 4, 5, 8, 8, 9, 4, 8, 5], [5, 5, 2, 2, 8, 8, 1, 7, 7, 7, 7, 7, 7, 6, 6, 6, 9, 9, 7, 7, 7, 7, 7, 7, 7, 1, 8, 8, 2, 2], [5, 8, 2, 9, 8, 8, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 8, 8, 9, 2], [9, 4, 8, 8, 8, 2, 4, 4, 3, 1, 7, 7, 9, 3, 2, 5, 5, 2, 3, 9, 7, 7, 1, 3, 4, 4, 2, 8, 8, 8], [4, 9, 8, 8, 2, 8, 4, 1, 1, 7, 7, 9, 3, 8, 5, 2, 2, 5, 8, 3, 9, 7, 7, 1, 1, 4, 8, 2, 8, 8], [8, 8, 1, 7, 4, 4, 8, 7, 7, 7, 9, 9, 2, 5, 5, 4, 4, 5, 5, 2, 9, 9, 7, 7, 7, 8, 4, 4, 7, 1], [8, 8, 7, 7, 4, 1, 7, 8, 7, 9, 9, 9, 5, 2, 4, 5, 5, 4, 2, 5, 9, 9, 9, 7, 8, 7, 1, 4, 7, 7], [4, 5, 7, 7, 3, 1, 7, 7, 7, 7, 4, 4, 9, 1, 2, 2, 2, 2, 1, 9, 4, 4, 7, 7, 7, 7, 1, 3, 7, 7], [5, 4, 7, 7, 1, 7, 7, 9, 7, 7, 4, 9, 1, 7, 2, 2, 2, 2, 7, 1, 9, 4, 7, 7, 9, 7, 7, 1, 7, 7], [7, 7, 7, 7, 7, 7, 9, 9, 4, 4, 4, 5, 2, 2, 8, 3, 3, 8, 2, 2, 5, 4, 4, 4, 9, 9, 7, 7, 7, 7], [7, 7, 7, 7, 7, 9, 9, 9, 4, 9, 5, 5, 2, 2, 3, 8, 8, 3, 2, 2, 5, 5, 9, 4, 9, 9, 9, 7, 7, 7], [3, 1, 7, 7, 9, 3, 2, 5, 9, 1, 2, 2, 5, 5, 1, 1, 1, 1, 5, 5, 2, 2, 1, 9, 5, 2, 3, 9, 7, 7], [1, 7, 7, 9, 3, 8, 5, 2, 1, 7, 2, 2, 5, 2, 1, 7, 7, 1, 2, 5, 2, 2, 7, 1, 2, 5, 8, 3, 6, 6], [7, 7, 9, 9, 2, 5, 5, 4, 2, 2, 8, 3, 1, 1, 8, 2, 2, 8, 1, 1, 3, 8, 2, 2, 4, 5, 5, 2, 6, 6], [7, 9, 9, 9, 5, 2, 4, 5, 2, 2, 3, 8, 1, 7, 2, 3, 3, 2, 7, 1, 8, 3, 2, 2, 5, 4, 2, 5, 6, 6], [7, 9, 9, 9, 5, 2, 4, 5, 2, 2, 3, 8, 1, 7, 2, 3, 3, 2, 7, 1, 8, 3, 2, 2, 5, 4, 2, 5, 6, 6], [7, 7, 9, 9, 2, 5, 5, 4, 2, 2, 8, 3, 1, 1, 8, 2, 2, 8, 1, 1, 3, 8, 2, 2, 4, 5, 5, 2, 6, 6], [1, 7, 7, 9, 3, 8, 5, 2, 1, 7, 2, 2, 5, 2, 1, 7, 7, 1, 2, 5, 2, 2, 7, 1, 2, 5, 8, 3, 6, 6], [3, 1, 7, 7, 9, 3, 2, 5, 9, 1, 2, 2, 5, 5, 1, 1, 1, 1, 5, 5, 2, 2, 1, 9, 5, 2, 3, 9, 7, 7], [7, 7, 7, 7, 7, 9, 9, 9, 4, 9, 5, 5, 2, 2, 3, 8, 8, 3, 2, 2, 5, 5, 9, 4, 9, 9, 9, 7, 7, 6], [7, 7, 7, 7, 7, 7, 9, 9, 4, 4, 4, 5, 2, 2, 8, 3, 3, 8, 2, 2, 5, 4, 4, 4, 9, 9, 7, 7, 7, 6], [5, 4, 7, 7, 1, 7, 7, 9, 7, 7, 4, 9, 1, 7, 2, 2, 2, 2, 7, 1, 9, 4, 7, 7, 9, 7, 7, 1, 7, 6], [4, 5, 7, 7, 3, 1, 7, 7, 7, 7, 4, 4, 9, 1, 2, 2, 2, 2, 1, 9, 4, 4, 7, 7, 7, 7, 1, 3, 7, 6], [8, 8, 7, 7, 4, 1, 7, 8, 7, 9, 9, 9, 5, 2, 4, 5, 5, 4, 2, 5, 9, 9, 9, 6, 6, 7, 1, 4, 7, 6], [8, 8, 1, 7, 4, 4, 8, 7, 7, 7, 9, 9, 2, 5, 5, 4, 4, 5, 5, 2, 9, 9, 7, 6, 6, 8, 4, 4, 7, 6], [4, 9, 8, 8, 2, 8, 4, 1, 1, 7, 7, 9, 3, 8, 5, 2, 2, 5, 8, 3, 9, 7, 7, 6, 6, 4, 8, 2, 8, 8], [9, 4, 8, 8, 8, 2, 4, 4, 3, 1, 7, 7, 9, 3, 2, 5, 5, 2, 3, 9, 7, 7, 1, 6, 6, 4, 2, 8, 8, 8], [5, 8, 2, 9, 8, 8, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 7, 7, 6, 6, 7, 8, 8, 9, 2], [5, 5, 2, 2, 8, 8, 1, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 7, 7, 7, 7, 7, 6, 6, 1, 8, 8, 2, 2]], "output": [[8, 9, 5, 5, 9, 4, 8, 8, 4, 5, 7, 7, 3, 1, 7, 7, 7, 7, 1, 3, 7, 7, 5, 4, 8, 8, 4, 9, 5, 5], [9, 8, 5, 8, 4, 9, 8, 8, 5, 4, 7, 7, 1, 7, 7, 9, 9, 7, 7, 1, 7, 7, 4, 5, 8, 8, 9, 4, 8, 5], [5, 5, 2, 2, 8, 8, 1, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 1, 8, 8, 2, 2], [5, 8, 2, 9, 8, 8, 7, 7, 7, 7, 7, 7, 7, 9, 9, 9, 9, 9, 9, 7, 7, 7, 7, 7, 7, 7, 8, 8, 9, 2], [9, 4, 8, 8, 8, 2, 4, 4, 3, 1, 7, 7, 9, 3, 2, 5, 5, 2, 3, 9, 7, 7, 1, 3, 4, 4, 2, 8, 8, 8], [4, 9, 8, 8, 2, 8, 4, 1, 1, 7, 7, 9, 3, 8, 5, 2, 2, 5, 8, 3, 9, 7, 7, 1, 1, 4, 8, 2, 8, 8], [8, 8, 1, 7, 4, 4, 8, 7, 7, 7, 9, 9, 2, 5, 5, 4, 4, 5, 5, 2, 9, 9, 7, 7, 7, 8, 4, 4, 7, 1], [8, 8, 7, 7, 4, 1, 7, 8, 7, 9, 9, 9, 5, 2, 4, 5, 5, 4, 2, 5, 9, 9, 9, 7, 8, 7, 1, 4, 7, 7], [4, 5, 7, 7, 3, 1, 7, 7, 7, 7, 4, 4, 9, 1, 2, 2, 2, 2, 1, 9, 4, 4, 7, 7, 7, 7, 1, 3, 7, 7], [5, 4, 7, 7, 1, 7, 7, 9, 7, 7, 4, 9, 1, 7, 2, 2, 2, 2, 7, 1, 9, 4, 7, 7, 9, 7, 7, 1, 7, 7], [7, 7, 7, 7, 7, 7, 9, 9, 4, 4, 4, 5, 2, 2, 8, 3, 3, 8, 2, 2, 5, 4, 4, 4, 9, 9, 7, 7, 7, 7], [7, 7, 7, 7, 7, 9, 9, 9, 4, 9, 5, 5, 2, 2, 3, 8, 8, 3, 2, 2, 5, 5, 9, 4, 9, 9, 9, 7, 7, 7], [3, 1, 7, 7, 9, 3, 2, 5, 9, 1, 2, 2, 5, 5, 1, 1, 1, 1, 5, 5, 2, 2, 1, 9, 5, 2, 3, 9, 7, 7], [1, 7, 7, 9, 3, 8, 5, 2, 1, 7, 2, 2, 5, 2, 1, 7, 7, 1, 2, 5, 2, 2, 7, 1, 2, 5, 8, 3, 9, 7], [7, 7, 9, 9, 2, 5, 5, 4, 2, 2, 8, 3, 1, 1, 8, 2, 2, 8, 1, 1, 3, 8, 2, 2, 4, 5, 5, 2, 9, 9], [7, 9, 9, 9, 5, 2, 4, 5, 2, 2, 3, 8, 1, 7, 2, 3, 3, 2, 7, 1, 8, 3, 2, 2, 5, 4, 2, 5, 9, 9], [7, 9, 9, 9, 5, 2, 4, 5, 2, 2, 3, 8, 1, 7, 2, 3, 3, 2, 7, 1, 8, 3, 2, 2, 5, 4, 2, 5, 9, 9], [7, 7, 9, 9, 2, 5, 5, 4, 2, 2, 8, 3, 1, 1, 8, 2, 2, 8, 1, 1, 3, 8, 2, 2, 4, 5, 5, 2, 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