permutation for a good path = [0, 30, 52, 66, 3, 57, 6, 46, 15, 11, 1, 17, 7, 13, 58, 16, 9, 14, 2, 69, 88, 55, 39, 41, 40, 34, 19, 42, 94, 43, 86, 10, 80, 8, 4, 70, 44, 18, 37, 56, 72, 71, 51, 96, 29, 64, 21, 28, 48, 78, 32, 89, 36, 95, 87, 84, 92, 76, 77, 20, 27, 24, 93, 26, 61, 59, 74, 25, 33, 68, 5, 79, 81, 35, 50, 83, 63, 31, 75, 45, 12, 47, 67, 60, 82, 54, 73, 53, 91, 23, 90, 49, 62, 65, 85, 38, 22]

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