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0, 4, 0, 0; 0, 0, 4, 2; 0, 0, 0, 1], [1, 0, 0, 0]], [[2, 0, 0, 0; 0, 4, 0, 0; 0, 0, 4, 2; 0, 0, 0, 1], [1, 0, 1, 0]], [[2, 0, 0, 0; 0, 4, 0, 0; 0, 0, 4, 2; 0, 0, 0, 1], []], [[2, 0, 0, 0; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[2, 0, 0, 0; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 1], [0, 1, 0, 0]], [[2, 0, 0, 0; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 1], [1, 0, 0, 0]], [[2, 0, 0, 0; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 1], [1, 1, 0, 0]], [[2, 0, 0, 0; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 1], []], [[2, 0, 0, 0; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 2], [0, 0, 0, 0]], [[2, 0, 0, 0; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 2], [0, 0, 0, 1]], [[2, 0, 0, 0; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 2], [0, 1, 0, 0]], [[2, 0, 0, 0; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 2], [0, 1, 0, 1]], [[2, 0, 0, 0; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 2], [1, 0, 0, 0]], [[2, 0, 0, 0; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 2], [1, 0, 0, 1]], [[2, 0, 0, 0; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 2], [1, 1, 0, 0]], [[2, 0, 0, 0; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 2], [1, 1, 0, 1]], [[2, 0, 0, 0; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 2], []], [[2, 0, 0, 0; 0, 4, 1, 2; 0, 0, 1, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[2, 0, 0, 0; 0, 4, 1, 2; 0, 0, 1, 0; 0, 0, 0, 1], [0, 1, 0, 0]], [[2, 0, 0, 0; 0, 4, 1, 2; 0, 0, 1, 0; 0, 0, 0, 1], [1, 0, 0, 0]], [[2, 0, 0, 0; 0, 4, 1, 2; 0, 0, 1, 0; 0, 0, 0, 1], [1, 1, 0, 0]], [[2, 0, 0, 0; 0, 4, 1, 2; 0, 0, 1, 0; 0, 0, 0, 1], []], [[2, 0, 0, 1; 0, 2, 0, 1; 0, 0, 4, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[2, 0, 0, 1; 0, 2, 0, 1; 0, 0, 4, 0; 0, 0, 0, 1], [0, 0, 1, 0]], [[2, 0, 0, 1; 0, 2, 0, 1; 0, 0, 4, 0; 0, 0, 0, 1], [0, 1, 0, 0]], [[2, 0, 0, 1; 0, 2, 0, 1; 0, 0, 4, 0; 0, 0, 0, 1], [0, 1, 1, 0]], [[2, 0, 0, 1; 0, 2, 0, 1; 0, 0, 4, 0; 0, 0, 0, 1], [1, 1, 0, 0]], [[2, 0, 0, 1; 0, 2, 0, 1; 0, 0, 4, 0; 0, 0, 0, 1], []], [[2, 0, 0, 1; 0, 2, 0, 1; 0, 0, 4, 2; 0, 0, 0, 1], [0, 0, 0, 0]], [[2, 0, 0, 1; 0, 2, 0, 1; 0, 0, 4, 2; 0, 0, 0, 1], [0, 0, 1, 0]], [[2, 0, 0, 1; 0, 2, 0, 1; 0, 0, 4, 2; 0, 0, 0, 1], [0, 1, 0, 0]], [[2, 0, 0, 1; 0, 2, 0, 1; 0, 0, 4, 2; 0, 0, 0, 1], [0, 1, 1, 0]], [[2, 0, 0, 1; 0, 2, 0, 1; 0, 0, 4, 2; 0, 0, 0, 1], [1, 1, 0, 0]], [[2, 0, 0, 1; 0, 2, 0, 1; 0, 0, 4, 2; 0, 0, 0, 1], []], [[2, 0, 0, 1; 0, 2, 1, 0; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[2, 0, 0, 1; 0, 2, 1, 0; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 1, 0]], [[2, 0, 0, 1; 0, 2, 1, 0; 0, 0, 2, 0; 0, 0, 0, 1], [1, 0, 0, 0]], [[2, 0, 0, 1; 0, 2, 1, 0; 0, 0, 2, 0; 0, 0, 0, 1], []], [[2, 0, 0, 1; 0, 2, 1, 1; 0, 0, 1, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[2, 0, 0, 1; 0, 2, 1, 1; 0, 0, 1, 0; 0, 0, 0, 1], [0, 1, 0, 0]], [[2, 0, 0, 1; 0, 2, 1, 1; 0, 0, 1, 0; 0, 0, 0, 1], [1, 1, 0, 0]], [[2, 0, 0, 1; 0, 2, 1, 1; 0, 0, 1, 0; 0, 0, 0, 1], []], [[2, 0, 0, 1; 0, 2, 1, 1; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[2, 0, 0, 1; 0, 2, 1, 1; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 1, 0]], [[2, 0, 0, 1; 0, 2, 1, 1; 0, 0, 2, 0; 0, 0, 0, 1], [1, 0, 0, 0]], [[2, 0, 0, 1; 0, 2, 1, 1; 0, 0, 2, 0; 0, 0, 0, 1], []], [[2, 0, 0, 1; 0, 4, 0, 0; 0, 0, 4, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[2, 0, 0, 1; 0, 4, 0, 0; 0, 0, 4, 0; 0, 0, 0, 1], [0, 0, 1, 0]], [[2, 0, 0, 1; 0, 4, 0, 0; 0, 0, 4, 0; 0, 0, 0, 1], [0, 1, 1, 0]], [[2, 0, 0, 1; 0, 4, 0, 0; 0, 0, 4, 0; 0, 0, 0, 1], [1, 0, 0, 0]], [[2, 0, 0, 1; 0, 4, 0, 0; 0, 0, 4, 0; 0, 0, 0, 1], []], [[2, 0, 0, 1; 0, 4, 0, 0; 0, 0, 4, 2; 0, 0, 0, 1], [0, 0, 0, 0]], [[2, 0, 0, 1; 0, 4, 0, 0; 0, 0, 4, 2; 0, 0, 0, 1], [0, 0, 1, 0]], [[2, 0, 0, 1; 0, 4, 0, 0; 0, 0, 4, 2; 0, 0, 0, 1], [0, 1, 0, 0]], [[2, 0, 0, 1; 0, 4, 0, 0; 0, 0, 4, 2; 0, 0, 0, 1], [0, 1, 1, 0]], [[2, 0, 0, 1; 0, 4, 0, 0; 0, 0, 4, 2; 0, 0, 0, 1], [1, 0, 0, 0]], [[2, 0, 0, 1; 0, 4, 0, 0; 0, 0, 4, 2; 0, 0, 0, 1], [1, 0, 1, 0]], [[2, 0, 0, 1; 0, 4, 0, 0; 0, 0, 4, 2; 0, 0, 0, 1], []], [[2, 0, 0, 1; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[2, 0, 0, 1; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 1], [0, 1, 0, 0]], [[2, 0, 0, 1; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 1], [1, 0, 0, 0]], [[2, 0, 0, 1; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 1], [1, 1, 0, 0]], [[2, 0, 0, 1; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 1], []], [[2, 0, 0, 1; 0, 4, 1, 2; 0, 0, 1, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[2, 0, 0, 1; 0, 4, 1, 2; 0, 0, 1, 0; 0, 0, 0, 1], [0, 1, 0, 0]], [[2, 0, 0, 1; 0, 4, 1, 2; 0, 0, 1, 0; 0, 0, 0, 1], [1, 0, 0, 0]], [[2, 0, 0, 1; 0, 4, 1, 2; 0, 0, 1, 0; 0, 0, 0, 1], [1, 1, 0, 0]], [[2, 0, 0, 1; 0, 4, 1, 2; 0, 0, 1, 0; 0, 0, 0, 1], []], [[2, 0, 1, 0; 0, 2, 1, 0; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[2, 0, 1, 0; 0, 2, 1, 0; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 1, 0]], [[2, 0, 1, 0; 0, 2, 1, 0; 0, 0, 2, 0; 0, 0, 0, 1], [1, 0, 0, 0]], [[2, 0, 1, 0; 0, 2, 1, 0; 0, 0, 2, 0; 0, 0, 0, 1], [1, 0, 1, 0]], [[2, 0, 1, 0; 0, 2, 1, 0; 0, 0, 2, 0; 0, 0, 0, 1], []], [[2, 0, 1, 0; 0, 2, 1, 0; 0, 0, 2, 0; 0, 0, 0, 2], [0, 0, 0, 0]], [[2, 0, 1, 0; 0, 2, 1, 0; 0, 0, 2, 0; 0, 0, 0, 2], [0, 0, 0, 1]], [[2, 0, 1, 0; 0, 2, 1, 0; 0, 0, 2, 0; 0, 0, 0, 2], [0, 0, 1, 0]], [[2, 0, 1, 0; 0, 2, 1, 0; 0, 0, 2, 0; 0, 0, 0, 2], [0, 0, 1, 1]], [[2, 0, 1, 0; 0, 2, 1, 0; 0, 0, 2, 0; 0, 0, 0, 2], [1, 0, 0, 0]], [[2, 0, 1, 0; 0, 2, 1, 0; 0, 0, 2, 0; 0, 0, 0, 2], [1, 0, 0, 1]], [[2, 0, 1, 0; 0, 2, 1, 0; 0, 0, 2, 0; 0, 0, 0, 2], [1, 0, 1, 0]], [[2, 0, 1, 0; 0, 2, 1, 0; 0, 0, 2, 0; 0, 0, 0, 2], [1, 0, 1, 1]], [[2, 0, 1, 0; 0, 2, 1, 0; 0, 0, 2, 0; 0, 0, 0, 2], []], [[2, 0, 1, 0; 0, 2, 1, 1; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[2, 0, 1, 0; 0, 2, 1, 1; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 1, 0]], [[2, 0, 1, 0; 0, 2, 1, 1; 0, 0, 2, 0; 0, 0, 0, 1], [1, 0, 0, 0]], [[2, 0, 1, 0; 0, 2, 1, 1; 0, 0, 2, 0; 0, 0, 0, 1], [1, 0, 1, 0]], [[2, 0, 1, 0; 0, 2, 1, 1; 0, 0, 2, 0; 0, 0, 0, 1], []], [[2, 0, 1, 0; 0, 4, 0, 0; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[2, 0, 1, 0; 0, 4, 0, 0; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 1, 0]], [[2, 0, 1, 0; 0, 4, 0, 0; 0, 0, 2, 0; 0, 0, 0, 1], [0, 1, 0, 0]], [[2, 0, 1, 0; 0, 4, 0, 0; 0, 0, 2, 0; 0, 0, 0, 1], []], [[2, 0, 1, 0; 0, 4, 0, 0; 0, 0, 2, 0; 0, 0, 0, 2], [0, 0, 0, 0]], [[2, 0, 1, 0; 0, 4, 0, 0; 0, 0, 2, 0; 0, 0, 0, 2], [0, 0, 0, 1]], [[2, 0, 1, 0; 0, 4, 0, 0; 0, 0, 2, 0; 0, 0, 0, 2], [0, 0, 1, 0]], [[2, 0, 1, 0; 0, 4, 0, 0; 0, 0, 2, 0; 0, 0, 0, 2], [0, 0, 1, 1]], [[2, 0, 1, 0; 0, 4, 0, 0; 0, 0, 2, 0; 0, 0, 0, 2], [0, 1, 0, 0]], [[2, 0, 1, 0; 0, 4, 0, 0; 0, 0, 2, 0; 0, 0, 0, 2], [0, 1, 0, 1]], [[2, 0, 1, 0; 0, 4, 0, 0; 0, 0, 2, 0; 0, 0, 0, 2], []], [[2, 0, 1, 0; 0, 4, 0, 2; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[2, 0, 1, 0; 0, 4, 0, 2; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 1, 0]], [[2, 0, 1, 0; 0, 4, 0, 2; 0, 0, 2, 0; 0, 0, 0, 1], [0, 1, 0, 0]], [[2, 0, 1, 0; 0, 4, 0, 2; 0, 0, 2, 0; 0, 0, 0, 1], [0, 1, 1, 0]], [[2, 0, 1, 0; 0, 4, 0, 2; 0, 0, 2, 0; 0, 0, 0, 1], []], [[2, 0, 1, 1; 0, 2, 1, 1; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[2, 0, 1, 1; 0, 2, 1, 1; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 1, 0]], [[2, 0, 1, 1; 0, 2, 1, 1; 0, 0, 2, 0; 0, 0, 0, 1], [1, 0, 0, 0]], [[2, 0, 1, 1; 0, 2, 1, 1; 0, 0, 2, 0; 0, 0, 0, 1], [1, 0, 1, 0]], [[2, 0, 1, 1; 0, 2, 1, 1; 0, 0, 2, 0; 0, 0, 0, 1], []], [[2, 0, 1, 1; 0, 4, 0, 0; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[2, 0, 1, 1; 0, 4, 0, 0; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 1, 0]], [[2, 0, 1, 1; 0, 4, 0, 0; 0, 0, 2, 0; 0, 0, 0, 1], [0, 1, 0, 0]], [[2, 0, 1, 1; 0, 4, 0, 0; 0, 0, 2, 0; 0, 0, 0, 1], []], [[2, 1, 1, 0; 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0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[2, 1, 1, 1; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1], [1, 0, 0, 0]], [[2, 1, 1, 1; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1], []], [[2, 1, 1, 1; 0, 1, 0, 0; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[2, 1, 1, 1; 0, 1, 0, 0; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 1, 0]], [[2, 1, 1, 1; 0, 1, 0, 0; 0, 0, 2, 0; 0, 0, 0, 1], []], [[4, 0, 0, 0; 0, 4, 0, 0; 0, 0, 4, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 0, 0, 0; 0, 4, 0, 0; 0, 0, 4, 0; 0, 0, 0, 1], [0, 0, 1, 0]], [[4, 0, 0, 0; 0, 4, 0, 0; 0, 0, 4, 0; 0, 0, 0, 1], [0, 1, 1, 0]], [[4, 0, 0, 0; 0, 4, 0, 0; 0, 0, 4, 0; 0, 0, 0, 1], []], [[4, 0, 0, 0; 0, 4, 0, 0; 0, 0, 4, 0; 0, 0, 0, 2], [0, 0, 0, 0]], [[4, 0, 0, 0; 0, 4, 0, 0; 0, 0, 4, 0; 0, 0, 0, 2], [0, 0, 0, 1]], [[4, 0, 0, 0; 0, 4, 0, 0; 0, 0, 4, 0; 0, 0, 0, 2], [0, 0, 1, 0]], [[4, 0, 0, 0; 0, 4, 0, 0; 0, 0, 4, 0; 0, 0, 0, 2], [0, 0, 1, 1]], [[4, 0, 0, 0; 0, 4, 0, 0; 0, 0, 4, 0; 0, 0, 0, 2], [0, 1, 1, 0]], [[4, 0, 0, 0; 0, 4, 0, 0; 0, 0, 4, 0; 0, 0, 0, 2], [0, 1, 1, 1]], [[4, 0, 0, 0; 0, 4, 0, 0; 0, 0, 4, 0; 0, 0, 0, 2], []], [[4, 0, 0, 0; 0, 4, 0, 0; 0, 0, 4, 2; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 0, 0, 0; 0, 4, 0, 0; 0, 0, 4, 2; 0, 0, 0, 1], [0, 0, 1, 0]], [[4, 0, 0, 0; 0, 4, 0, 0; 0, 0, 4, 2; 0, 0, 0, 1], [0, 1, 0, 0]], [[4, 0, 0, 0; 0, 4, 0, 0; 0, 0, 4, 2; 0, 0, 0, 1], [0, 1, 1, 0]], [[4, 0, 0, 0; 0, 4, 0, 0; 0, 0, 4, 2; 0, 0, 0, 1], []], [[4, 0, 0, 0; 0, 4, 0, 2; 0, 0, 4, 2; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 0, 0, 0; 0, 4, 0, 2; 0, 0, 4, 2; 0, 0, 0, 1], [0, 0, 1, 0]], [[4, 0, 0, 0; 0, 4, 0, 2; 0, 0, 4, 2; 0, 0, 0, 1], [0, 1, 1, 0]], [[4, 0, 0, 0; 0, 4, 0, 2; 0, 0, 4, 2; 0, 0, 0, 1], [1, 0, 1, 0]], [[4, 0, 0, 0; 0, 4, 0, 2; 0, 0, 4, 2; 0, 0, 0, 1], []], [[4, 0, 0, 0; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 0, 0, 0; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 1], [0, 1, 0, 0]], [[4, 0, 0, 0; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 1], [1, 1, 0, 0]], [[4, 0, 0, 0; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 1], []], [[4, 0, 0, 0; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 2], [0, 0, 0, 0]], [[4, 0, 0, 0; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 2], [0, 0, 0, 1]], [[4, 0, 0, 0; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 2], [0, 1, 0, 0]], [[4, 0, 0, 0; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 2], [0, 1, 0, 1]], [[4, 0, 0, 0; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 2], [1, 1, 0, 0]], [[4, 0, 0, 0; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 2], [1, 1, 0, 1]], [[4, 0, 0, 0; 0, 4, 1, 0; 0, 0, 1, 0; 0, 0, 0, 2], []], [[4, 0, 0, 0; 0, 4, 1, 2; 0, 0, 1, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 0, 0, 0; 0, 4, 1, 2; 0, 0, 1, 0; 0, 0, 0, 1], [0, 1, 0, 0]], [[4, 0, 0, 0; 0, 4, 1, 2; 0, 0, 1, 0; 0, 0, 0, 1], [1, 0, 0, 0]], [[4, 0, 0, 0; 0, 4, 1, 2; 0, 0, 1, 0; 0, 0, 0, 1], [1, 1, 0, 0]], [[4, 0, 0, 0; 0, 4, 1, 2; 0, 0, 1, 0; 0, 0, 0, 1], []], [[4, 0, 0, 0; 0, 4, 2, 0; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 0, 0, 0; 0, 4, 2, 0; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 1, 0]], [[4, 0, 0, 0; 0, 4, 2, 0; 0, 0, 2, 0; 0, 0, 0, 1], [0, 1, 1, 0]], [[4, 0, 0, 0; 0, 4, 2, 0; 0, 0, 2, 0; 0, 0, 0, 1], [1, 0, 1, 0]], [[4, 0, 0, 0; 0, 4, 2, 0; 0, 0, 2, 0; 0, 0, 0, 1], []], [[4, 0, 0, 0; 0, 4, 2, 0; 0, 0, 2, 0; 0, 0, 0, 2], [0, 0, 0, 0]], [[4, 0, 0, 0; 0, 4, 2, 0; 0, 0, 2, 0; 0, 0, 0, 2], [0, 0, 0, 1]], [[4, 0, 0, 0; 0, 4, 2, 0; 0, 0, 2, 0; 0, 0, 0, 2], [0, 0, 1, 0]], [[4, 0, 0, 0; 0, 4, 2, 0; 0, 0, 2, 0; 0, 0, 0, 2], [0, 0, 1, 1]], [[4, 0, 0, 0; 0, 4, 2, 0; 0, 0, 2, 0; 0, 0, 0, 2], [0, 1, 1, 0]], [[4, 0, 0, 0; 0, 4, 2, 0; 0, 0, 2, 0; 0, 0, 0, 2], [0, 1, 1, 1]], [[4, 0, 0, 0; 0, 4, 2, 0; 0, 0, 2, 0; 0, 0, 0, 2], [1, 0, 1, 0]], [[4, 0, 0, 0; 0, 4, 2, 0; 0, 0, 2, 0; 0, 0, 0, 2], [1, 0, 1, 1]], [[4, 0, 0, 0; 0, 4, 2, 0; 0, 0, 2, 0; 0, 0, 0, 2], []], [[4, 0, 0, 0; 0, 4, 2, 1; 0, 0, 2, 1; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 0, 0, 0; 0, 4, 2, 1; 0, 0, 2, 1; 0, 0, 0, 1], [0, 0, 1, 0]], [[4, 0, 0, 0; 0, 4, 2, 1; 0, 0, 2, 1; 0, 0, 0, 1], [0, 1, 1, 0]], [[4, 0, 0, 0; 0, 4, 2, 1; 0, 0, 2, 1; 0, 0, 0, 1], [1, 0, 1, 0]], [[4, 0, 0, 0; 0, 4, 2, 1; 0, 0, 2, 1; 0, 0, 0, 1], []], [[4, 0, 0, 0; 0, 4, 2, 2; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 0, 0, 0; 0, 4, 2, 2; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 1, 0]], [[4, 0, 0, 0; 0, 4, 2, 2; 0, 0, 2, 0; 0, 0, 0, 1], [0, 1, 1, 0]], [[4, 0, 0, 0; 0, 4, 2, 2; 0, 0, 2, 0; 0, 0, 0, 1], [1, 0, 0, 0]], [[4, 0, 0, 0; 0, 4, 2, 2; 0, 0, 2, 0; 0, 0, 0, 1], [1, 0, 1, 0]], [[4, 0, 0, 0; 0, 4, 2, 2; 0, 0, 2, 0; 0, 0, 0, 1], []], [[4, 0, 0, 0; 0, 4, 2, 3; 0, 0, 2, 1; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 0, 0, 0; 0, 4, 2, 3; 0, 0, 2, 1; 0, 0, 0, 1], [0, 0, 1, 0]], [[4, 0, 0, 0; 0, 4, 2, 3; 0, 0, 2, 1; 0, 0, 0, 1], [0, 1, 1, 0]], [[4, 0, 0, 0; 0, 4, 2, 3; 0, 0, 2, 1; 0, 0, 0, 1], [1, 0, 0, 0]], [[4, 0, 0, 0; 0, 4, 2, 3; 0, 0, 2, 1; 0, 0, 0, 1], [1, 0, 1, 0]], [[4, 0, 0, 0; 0, 4, 2, 3; 0, 0, 2, 1; 0, 0, 0, 1], []], [[4, 0, 0, 0; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 0, 0, 0; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 1], [0, 1, 0, 0]], [[4, 0, 0, 0; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 1], [1, 0, 0, 0]], [[4, 0, 0, 0; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 1], [1, 1, 0, 0]], [[4, 0, 0, 0; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 1], []], [[4, 0, 0, 0; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 2], [0, 0, 0, 0]], [[4, 0, 0, 0; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 2], [0, 0, 0, 1]], [[4, 0, 0, 0; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 2], [0, 1, 0, 0]], [[4, 0, 0, 0; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 2], [0, 1, 0, 1]], [[4, 0, 0, 0; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 2], [1, 0, 0, 0]], [[4, 0, 0, 0; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 2], [1, 0, 0, 1]], [[4, 0, 0, 0; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 2], [1, 1, 0, 0]], [[4, 0, 0, 0; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 2], [1, 1, 0, 1]], [[4, 0, 0, 0; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 2], []], [[4, 0, 0, 0; 0, 4, 3, 2; 0, 0, 1, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 0, 0, 0; 0, 4, 3, 2; 0, 0, 1, 0; 0, 0, 0, 1], [0, 1, 0, 0]], [[4, 0, 0, 0; 0, 4, 3, 2; 0, 0, 1, 0; 0, 0, 0, 1], [1, 0, 0, 0]], [[4, 0, 0, 0; 0, 4, 3, 2; 0, 0, 1, 0; 0, 0, 0, 1], [1, 1, 0, 0]], [[4, 0, 0, 0; 0, 4, 3, 2; 0, 0, 1, 0; 0, 0, 0, 1], []], [[4, 0, 0, 2; 0, 4, 1, 2; 0, 0, 1, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 0, 0, 2; 0, 4, 1, 2; 0, 0, 1, 0; 0, 0, 0, 1], [0, 1, 0, 0]], [[4, 0, 0, 2; 0, 4, 1, 2; 0, 0, 1, 0; 0, 0, 0, 1], [1, 1, 0, 0]], [[4, 0, 0, 2; 0, 4, 1, 2; 0, 0, 1, 0; 0, 0, 0, 1], []], [[4, 0, 0, 2; 0, 4, 2, 2; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 0, 0, 2; 0, 4, 2, 2; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 1, 0]], [[4, 0, 0, 2; 0, 4, 2, 2; 0, 0, 2, 0; 0, 0, 0, 1], [0, 1, 1, 0]], [[4, 0, 0, 2; 0, 4, 2, 2; 0, 0, 2, 0; 0, 0, 0, 1], [1, 0, 1, 0]], [[4, 0, 0, 2; 0, 4, 2, 2; 0, 0, 2, 0; 0, 0, 0, 1], []], [[4, 0, 0, 2; 0, 4, 2, 3; 0, 0, 2, 1; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 0, 0, 2; 0, 4, 2, 3; 0, 0, 2, 1; 0, 0, 0, 1], [0, 0, 1, 0]], [[4, 0, 0, 2; 0, 4, 2, 3; 0, 0, 2, 1; 0, 0, 0, 1], [0, 1, 1, 0]], [[4, 0, 0, 2; 0, 4, 2, 3; 0, 0, 2, 1; 0, 0, 0, 1], [1, 0, 1, 0]], [[4, 0, 0, 2; 0, 4, 2, 3; 0, 0, 2, 1; 0, 0, 0, 1], []], [[4, 0, 0, 2; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 0, 0, 2; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 1], [0, 1, 0, 0]], [[4, 0, 0, 2; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 1], [1, 0, 0, 0]], [[4, 0, 0, 2; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 1], [1, 1, 0, 0]], [[4, 0, 0, 2; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 1], []], [[4, 0, 0, 2; 0, 4, 3, 2; 0, 0, 1, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 0, 0, 2; 0, 4, 3, 2; 0, 0, 1, 0; 0, 0, 0, 1], [0, 1, 0, 0]], [[4, 0, 0, 2; 0, 4, 3, 2; 0, 0, 1, 0; 0, 0, 0, 1], [1, 0, 0, 0]], [[4, 0, 0, 2; 0, 4, 3, 2; 0, 0, 1, 0; 0, 0, 0, 1], [1, 1, 0, 0]], [[4, 0, 0, 2; 0, 4, 3, 2; 0, 0, 1, 0; 0, 0, 0, 1], []], [[4, 0, 2, 0; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 0, 2, 0; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 1], [0, 1, 0, 0]], [[4, 0, 2, 0; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 1], [1, 1, 0, 0]], [[4, 0, 2, 0; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 1], []], [[4, 0, 2, 0; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 2], [0, 0, 0, 0]], [[4, 0, 2, 0; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 2], [0, 0, 0, 1]], [[4, 0, 2, 0; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 2], [0, 1, 0, 0]], [[4, 0, 2, 0; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 2], [0, 1, 0, 1]], [[4, 0, 2, 0; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 2], [1, 1, 0, 0]], [[4, 0, 2, 0; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 2], [1, 1, 0, 1]], [[4, 0, 2, 0; 0, 4, 3, 0; 0, 0, 1, 0; 0, 0, 0, 2], []], [[4, 0, 2, 0; 0, 4, 3, 2; 0, 0, 1, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 0, 2, 0; 0, 4, 3, 2; 0, 0, 1, 0; 0, 0, 0, 1], [0, 1, 0, 0]], [[4, 0, 2, 0; 0, 4, 3, 2; 0, 0, 1, 0; 0, 0, 0, 1], [1, 0, 0, 0]], [[4, 0, 2, 0; 0, 4, 3, 2; 0, 0, 1, 0; 0, 0, 0, 1], [1, 1, 0, 0]], [[4, 0, 2, 0; 0, 4, 3, 2; 0, 0, 1, 0; 0, 0, 0, 1], []], [[4, 0, 2, 2; 0, 4, 3, 2; 0, 0, 1, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 0, 2, 2; 0, 4, 3, 2; 0, 0, 1, 0; 0, 0, 0, 1], [0, 1, 0, 0]], [[4, 0, 2, 2; 0, 4, 3, 2; 0, 0, 1, 0; 0, 0, 0, 1], [1, 1, 0, 0]], [[4, 0, 2, 2; 0, 4, 3, 2; 0, 0, 1, 0; 0, 0, 0, 1], []], [[4, 1, 1, 0; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 1, 1, 0; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1], [1, 0, 0, 0]], [[4, 1, 1, 0; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1], []], [[4, 1, 1, 0; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 2], [0, 0, 0, 0]], [[4, 1, 1, 0; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 2], [0, 0, 0, 1]], [[4, 1, 1, 0; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 2], [1, 0, 0, 0]], [[4, 1, 1, 0; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 2], [1, 0, 0, 1]], [[4, 1, 1, 0; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 2], []], [[4, 1, 1, 2; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 1, 1, 2; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1], [1, 0, 0, 0]], [[4, 1, 1, 2; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1], []], [[4, 1, 2, 0; 0, 1, 0, 0; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 1, 2, 0; 0, 1, 0, 0; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 1, 0]], [[4, 1, 2, 0; 0, 1, 0, 0; 0, 0, 2, 0; 0, 0, 0, 1], [1, 0, 1, 0]], [[4, 1, 2, 0; 0, 1, 0, 0; 0, 0, 2, 0; 0, 0, 0, 1], []], [[4, 1, 2, 0; 0, 1, 0, 0; 0, 0, 2, 0; 0, 0, 0, 2], [0, 0, 0, 0]], [[4, 1, 2, 0; 0, 1, 0, 0; 0, 0, 2, 0; 0, 0, 0, 2], [0, 0, 0, 1]], [[4, 1, 2, 0; 0, 1, 0, 0; 0, 0, 2, 0; 0, 0, 0, 2], [0, 0, 1, 0]], [[4, 1, 2, 0; 0, 1, 0, 0; 0, 0, 2, 0; 0, 0, 0, 2], [0, 0, 1, 1]], [[4, 1, 2, 0; 0, 1, 0, 0; 0, 0, 2, 0; 0, 0, 0, 2], [1, 0, 1, 0]], [[4, 1, 2, 0; 0, 1, 0, 0; 0, 0, 2, 0; 0, 0, 0, 2], [1, 0, 1, 1]], [[4, 1, 2, 0; 0, 1, 0, 0; 0, 0, 2, 0; 0, 0, 0, 2], []], [[4, 1, 2, 1; 0, 1, 0, 0; 0, 0, 2, 1; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 1, 2, 1; 0, 1, 0, 0; 0, 0, 2, 1; 0, 0, 0, 1], [0, 0, 1, 0]], [[4, 1, 2, 1; 0, 1, 0, 0; 0, 0, 2, 1; 0, 0, 0, 1], [1, 0, 1, 0]], [[4, 1, 2, 1; 0, 1, 0, 0; 0, 0, 2, 1; 0, 0, 0, 1], []], [[4, 1, 2, 2; 0, 1, 0, 0; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 1, 2, 2; 0, 1, 0, 0; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 1, 0]], [[4, 1, 2, 2; 0, 1, 0, 0; 0, 0, 2, 0; 0, 0, 0, 1], [1, 0, 1, 0]], [[4, 1, 2, 2; 0, 1, 0, 0; 0, 0, 2, 0; 0, 0, 0, 1], []], [[4, 2, 2, 0; 0, 2, 0, 0; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 2, 2, 0; 0, 2, 0, 0; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 1, 0]], [[4, 2, 2, 0; 0, 2, 0, 0; 0, 0, 2, 0; 0, 0, 0, 1], [0, 1, 1, 0]], [[4, 2, 2, 0; 0, 2, 0, 0; 0, 0, 2, 0; 0, 0, 0, 1], []], [[4, 2, 2, 0; 0, 2, 0, 0; 0, 0, 2, 0; 0, 0, 0, 2], [0, 0, 0, 0]], [[4, 2, 2, 0; 0, 2, 0, 0; 0, 0, 2, 0; 0, 0, 0, 2], [0, 0, 0, 1]], [[4, 2, 2, 0; 0, 2, 0, 0; 0, 0, 2, 0; 0, 0, 0, 2], [0, 0, 1, 0]], [[4, 2, 2, 0; 0, 2, 0, 0; 0, 0, 2, 0; 0, 0, 0, 2], [0, 0, 1, 1]], [[4, 2, 2, 0; 0, 2, 0, 0; 0, 0, 2, 0; 0, 0, 0, 2], [0, 1, 1, 0]], [[4, 2, 2, 0; 0, 2, 0, 0; 0, 0, 2, 0; 0, 0, 0, 2], [0, 1, 1, 1]], [[4, 2, 2, 0; 0, 2, 0, 0; 0, 0, 2, 0; 0, 0, 0, 2], []], [[4, 2, 2, 0; 0, 2, 0, 1; 0, 0, 2, 1; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 2, 2, 0; 0, 2, 0, 1; 0, 0, 2, 1; 0, 0, 0, 1], [0, 0, 1, 0]], [[4, 2, 2, 0; 0, 2, 0, 1; 0, 0, 2, 1; 0, 0, 0, 1], [0, 1, 1, 0]], [[4, 2, 2, 0; 0, 2, 0, 1; 0, 0, 2, 1; 0, 0, 0, 1], [1, 0, 1, 0]], [[4, 2, 2, 0; 0, 2, 0, 1; 0, 0, 2, 1; 0, 0, 0, 1], []], [[4, 2, 2, 0; 0, 2, 1, 0; 0, 0, 1, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 2, 2, 0; 0, 2, 1, 0; 0, 0, 1, 0; 0, 0, 0, 1], [0, 1, 0, 0]], [[4, 2, 2, 0; 0, 2, 1, 0; 0, 0, 1, 0; 0, 0, 0, 1], [1, 1, 0, 0]], [[4, 2, 2, 0; 0, 2, 1, 0; 0, 0, 1, 0; 0, 0, 0, 1], []], [[4, 2, 2, 0; 0, 2, 1, 0; 0, 0, 1, 0; 0, 0, 0, 2], [0, 0, 0, 0]], [[4, 2, 2, 0; 0, 2, 1, 0; 0, 0, 1, 0; 0, 0, 0, 2], [0, 0, 0, 1]], [[4, 2, 2, 0; 0, 2, 1, 0; 0, 0, 1, 0; 0, 0, 0, 2], [0, 1, 0, 0]], [[4, 2, 2, 0; 0, 2, 1, 0; 0, 0, 1, 0; 0, 0, 0, 2], [0, 1, 0, 1]], [[4, 2, 2, 0; 0, 2, 1, 0; 0, 0, 1, 0; 0, 0, 0, 2], [1, 1, 0, 0]], [[4, 2, 2, 0; 0, 2, 1, 0; 0, 0, 1, 0; 0, 0, 0, 2], [1, 1, 0, 1]], [[4, 2, 2, 0; 0, 2, 1, 0; 0, 0, 1, 0; 0, 0, 0, 2], []], [[4, 2, 2, 1; 0, 2, 1, 1; 0, 0, 1, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 2, 2, 1; 0, 2, 1, 1; 0, 0, 1, 0; 0, 0, 0, 1], [0, 1, 0, 0]], [[4, 2, 2, 1; 0, 2, 1, 1; 0, 0, 1, 0; 0, 0, 0, 1], [1, 1, 0, 0]], [[4, 2, 2, 1; 0, 2, 1, 1; 0, 0, 1, 0; 0, 0, 0, 1], []], [[4, 2, 2, 2; 0, 2, 0, 0; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 2, 2, 2; 0, 2, 0, 0; 0, 0, 2, 0; 0, 0, 0, 1], [0, 0, 1, 0]], [[4, 2, 2, 2; 0, 2, 0, 0; 0, 0, 2, 0; 0, 0, 0, 1], [0, 1, 1, 0]], [[4, 2, 2, 2; 0, 2, 0, 0; 0, 0, 2, 0; 0, 0, 0, 1], []], [[4, 2, 2, 2; 0, 2, 0, 1; 0, 0, 2, 1; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 2, 2, 2; 0, 2, 0, 1; 0, 0, 2, 1; 0, 0, 0, 1], [0, 0, 1, 0]], [[4, 2, 2, 2; 0, 2, 0, 1; 0, 0, 2, 1; 0, 0, 0, 1], [0, 1, 1, 0]], [[4, 2, 2, 2; 0, 2, 0, 1; 0, 0, 2, 1; 0, 0, 0, 1], [1, 0, 1, 0]], [[4, 2, 2, 2; 0, 2, 0, 1; 0, 0, 2, 1; 0, 0, 0, 1], []], [[4, 2, 2, 2; 0, 2, 1, 0; 0, 0, 1, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 2, 2, 2; 0, 2, 1, 0; 0, 0, 1, 0; 0, 0, 0, 1], [0, 1, 0, 0]], [[4, 2, 2, 2; 0, 2, 1, 0; 0, 0, 1, 0; 0, 0, 0, 1], [1, 1, 0, 0]], [[4, 2, 2, 2; 0, 2, 1, 0; 0, 0, 1, 0; 0, 0, 0, 1], []], [[4, 2, 2, 3; 0, 2, 1, 1; 0, 0, 1, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 2, 2, 3; 0, 2, 1, 1; 0, 0, 1, 0; 0, 0, 0, 1], [0, 1, 0, 0]], [[4, 2, 2, 3; 0, 2, 1, 1; 0, 0, 1, 0; 0, 0, 0, 1], [1, 1, 0, 0]], [[4, 2, 2, 3; 0, 2, 1, 1; 0, 0, 1, 0; 0, 0, 0, 1], []], [[4, 3, 3, 0; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 3, 3, 0; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1], [1, 0, 0, 0]], [[4, 3, 3, 0; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1], []], [[4, 3, 3, 0; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 2], [0, 0, 0, 0]], [[4, 3, 3, 0; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 2], [0, 0, 0, 1]], [[4, 3, 3, 0; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 2], [1, 0, 0, 0]], [[4, 3, 3, 0; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 2], [1, 0, 0, 1]], [[4, 3, 3, 0; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 2], []], [[4, 3, 3, 2; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1], [0, 0, 0, 0]], [[4, 3, 3, 2; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1], [1, 0, 0, 0]], [[4, 3, 3, 2; 0, 1, 0, 0; 0, 0, 1, 0; 0, 0, 0, 1], []]]