quantification_luminance.json

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37, 53, 78, 13, 17, 22, 27, 35, 47, 66, 95, 19, 20, 31, 37, 47, 62, 85, 119, 28, 27, 46, 53, 66, 85, 113, 156, 43, 38, 68, 78, 95, 119, 156, 209], [6, 4, 4, 6, 9, 15, 19, 23, 5, 5, 5, 7, 10, 22, 23, 21, 5, 5, 6, 9, 15, 22, 26, 21, 5, 6, 8, 11, 19, 33, 30, 24, 7, 8, 14, 21, 26, 41, 39, 29, 9, 13, 21, 24, 31, 40, 43, 35, 19, 24, 30, 33, 39, 46, 46, 38, 27, 35, 36, 37, 43, 38, 39, 38], [2, 1, 4, 5, 6, 6, 3, 5, 1, 2, 6, 6, 1, 2, 9, 6, 2, 1, 3, 1, 2, 8, 4, 6, 1, 2, 2, 1, 6, 2, 8, 12, 1, 2, 6, 2, 8, 10, 10, 12, 4, 7, 2, 10, 11, 9, 10, 11, 6, 4, 11, 9, 8, 7, 10, 10, 6, 7, 5, 6, 9, 10, 10, 10], [3, 3, 3, 5, 6, 9, 11, 13, 3, 3, 3, 5, 6, 9, 11, 13, 3, 3, 5, 6, 9, 11, 13, 16, 5, 5, 6, 9, 11, 13, 16, 18, 6, 6, 9, 11, 13, 16, 18, 21, 9, 9, 11, 13, 16, 18, 21, 21, 11, 11, 13, 16, 18, 21, 21, 21, 13, 13, 16, 18, 21, 21, 21, 21], [4, 3, 2, 4, 6, 10, 12, 15, 3, 3, 3, 5, 6, 14, 14, 13, 3, 3, 4, 6, 10, 14, 17, 13, 3, 4, 5, 7, 12, 21, 19, 15, 4, 5, 9, 13, 16, 26, 25, 18, 6, 8, 13, 15, 19, 25, 27, 22, 12, 15, 19, 21, 25, 29, 29, 24, 17, 22, 23, 24, 27, 24, 25, 24], [3, 3, 2, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 2, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [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, 4, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [16, 16, 16, 18, 25, 37, 56, 85, 16, 17, 20, 27, 34, 40, 53, 75, 16, 20, 24, 31, 43, 62, 91, 135, 18, 27, 31, 40, 53, 74, 106, 156, 25, 34, 43, 53, 69, 94, 131, 189, 37, 40, 62, 74, 94, 124, 169, 238, 56, 53, 91, 106, 131, 169, 226, 255, 85, 75, 135, 156, 189, 238, 255, 255], [3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 4, 2, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 2, 2, 2, 2, 2, 3, 4, 3, 2, 2, 2, 2, 3, 4, 3, 2, 2, 2, 2, 2, 3, 4, 4, 2, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 2, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [1, 1, 1, 2, 2, 5, 6, 8, 1, 1, 2, 2, 3, 5, 6, 8, 1, 2, 2, 2, 3, 5, 7, 9, 2, 2, 2, 3, 3, 6, 7, 9, 2, 3, 3, 3, 5, 6, 8, 10, 5, 5, 5, 6, 6, 8, 9, 11, 6, 6, 7, 7, 8, 9, 11, 14, 8, 8, 9, 9, 10, 11, 14, 16], [2, 1, 1, 2, 3, 5, 6, 7, 1, 1, 1, 2, 3, 7, 7, 6, 1, 1, 2, 3, 5, 7, 8, 7, 1, 2, 2, 3, 6, 10, 10, 7, 2, 2, 4, 7, 8, 13, 12, 9, 3, 4, 6, 8, 10, 13, 14, 11, 6, 8, 9, 10, 12, 15, 15, 12, 9, 11, 11, 12, 14, 12, 12, 12], [1, 1, 2, 3, 3, 3, 2, 3, 1, 1, 3, 3, 1, 1, 5, 3, 1, 1, 1, 1, 1, 4, 2, 4, 1, 1, 1, 1, 3, 1, 4, 7, 1, 1, 3, 1, 4, 6, 6, 7, 2, 4, 1, 6, 6, 5, 6, 6, 3, 2, 6, 5, 4, 4, 5, 5, 3, 4, 3, 4, 5, 5, 6, 5], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [2, 2, 3, 4, 5, 6, 8, 11, 2, 2, 2, 4, 5, 7, 9, 11, 3, 2, 3, 5, 7, 9, 11, 12, 4, 4, 5, 7, 9, 11, 12, 12, 5, 5, 7, 9, 11, 12, 12, 12, 6, 7, 9, 11, 12, 12, 12, 12, 8, 9, 11, 12, 12, 12, 12, 12, 11, 11, 12, 12, 12, 12, 12, 12], [6, 4, 7, 11, 14, 17, 22, 17, 4, 5, 6, 10, 14, 19, 12, 12, 7, 6, 8, 14, 19, 12, 12, 12, 11, 10, 14, 19, 12, 12, 12, 12, 14, 14, 19, 12, 12, 12, 12, 12, 17, 19, 12, 12, 12, 12, 12, 12, 22, 12, 12, 12, 12, 12, 12, 12, 17, 12, 12, 12, 12, 12, 12, 12], [6, 6, 6, 11, 15, 20, 26, 31, 6, 6, 6, 11, 15, 20, 26, 31, 6, 6, 11, 15, 20, 26, 31, 37, 11, 11, 15, 20, 26, 31, 37, 43, 15, 15, 20, 26, 31, 37, 43, 49, 20, 20, 26, 31, 37, 43, 49, 49, 26, 26, 31, 37, 43, 49, 49, 49, 31, 31, 37, 43, 49, 49, 49, 49], [3, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 6, 8, 11, 14, 17, 3, 3, 3, 6, 8, 11, 14, 17, 3, 3, 6, 8, 11, 14, 17, 20, 6, 6, 8, 11, 14, 17, 20, 24, 8, 8, 11, 14, 17, 20, 24, 26, 11, 11, 14, 17, 20, 24, 26, 26, 14, 14, 17, 20, 24, 26, 26, 26, 17, 17, 20, 24, 26, 26, 26, 26], [1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 3, 3, 2, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [16, 11, 10, 16, 24, 39, 50, 60, 12, 12, 14, 19, 25, 57, 59, 54, 14, 13, 16, 24, 39, 56, 68, 55, 14, 17, 22, 28, 50, 85, 78, 61, 18, 22, 36, 55, 67, 107, 101, 75, 24, 34, 54, 63, 79, 102, 111, 90, 48, 63, 76, 85, 101, 119, 118, 99, 71, 90, 93, 96, 110, 98, 101, 97], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [12, 12, 12, 20, 29, 39, 49, 59, 12, 12, 12, 20, 29, 39, 49, 59, 12, 12, 20, 29, 39, 49, 59, 71, 20, 20, 29, 39, 49, 59, 71, 83, 29, 29, 39, 49, 59, 71, 83, 93, 39, 39, 49, 59, 71, 83, 93, 93, 49, 49, 59, 71, 83, 93, 93, 93, 59, 59, 71, 83, 93, 93, 93, 93], [27, 18, 17, 27, 40, 66, 85, 101, 20, 20, 23, 32, 43, 96, 100, 91, 23, 22, 27, 40, 66, 95, 115, 93, 23, 28, 37, 48, 85, 144, 133, 103, 30, 37, 61, 93, 113, 181, 171, 128, 40, 58, 91, 106, 134, 173, 188, 153, 81, 106, 129, 144, 171, 201, 199, 168, 120, 153, 158, 163, 186, 166, 171, 164], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [7, 5, 5, 7, 11, 18, 23, 28, 6, 6, 6, 9, 12, 27, 28, 25, 6, 6, 7, 11, 18, 26, 32, 26, 6, 8, 10, 13, 23, 40, 37, 29, 8, 10, 17, 26, 31, 50, 47, 35, 11, 16, 25, 29, 37, 48, 52, 42, 23, 29, 36, 40, 47, 56, 55, 46, 33, 42, 44, 45, 52, 46, 47, 46], [1, 1, 1, 2, 2, 3, 4, 5, 1, 1, 1, 2, 2, 3, 4, 5, 1, 1, 2, 2, 3, 4, 5, 6, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 4, 5, 6, 7, 8, 3, 3, 4, 5, 6, 7, 8, 8, 4, 4, 5, 6, 7, 8, 8, 8, 5, 5, 6, 7, 8, 8, 8, 8], [3, 3, 3, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 3, 4, 3, 2, 2, 2, 2, 2, 3, 4, 4, 2, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [4, 3, 4, 7, 9, 11, 14, 17, 3, 3, 4, 7, 9, 12, 12, 12, 4, 4, 5, 9, 12, 12, 12, 12, 7, 7, 9, 12, 12, 12, 12, 12, 9, 9, 12, 12, 12, 12, 12, 12, 11, 12, 12, 12, 12, 12, 12, 12, 14, 12, 12, 12, 12, 12, 12, 12, 17, 12, 12, 12, 12, 12, 12, 12], [2, 2, 2, 2, 3, 4, 5, 5, 2, 2, 2, 2, 3, 4, 5, 5, 2, 2, 2, 3, 4, 5, 7, 9, 2, 2, 3, 4, 5, 8, 10, 12, 3, 3, 4, 5, 8, 10, 12, 12, 4, 4, 5, 8, 10, 12, 12, 12, 5, 5, 7, 10, 12, 12, 12, 12, 5, 5, 9, 12, 12, 12, 12, 12], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [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, 2, 2, 2, 2], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 2, 2, 2, 2, 3, 4, 3, 2, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 2, 8, 8, 8, 8, 8, 8, 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, 10, 9, 8, 8, 8, 8, 8, 8, 9, 11, 8, 8, 8, 8, 8, 9, 13, 13, 8, 8, 8, 8, 8, 10, 8, 9, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 2, 3, 4, 5, 6, 7, 3, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 2, 2, 2, 2, 3, 4, 3, 2, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 2, 2, 2, 3, 4, 3, 2, 2, 2, 2, 3, 4, 3, 2, 2, 2, 2, 2, 3, 4, 4, 2, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [8, 6, 9, 14, 17, 21, 28, 17, 6, 6, 8, 13, 18, 23, 12, 12, 9, 8, 11, 17, 23, 12, 12, 12, 14, 13, 17, 23, 12, 12, 12, 12, 17, 18, 23, 12, 12, 12, 12, 12, 21, 23, 12, 12, 12, 12, 12, 12, 28, 12, 12, 12, 12, 12, 12, 12, 17, 12, 12, 12, 12, 12, 12, 12], [3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 4, 2, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 4, 4, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [5, 5, 5, 6, 9, 13, 19, 29, 5, 6, 7, 9, 12, 14, 18, 26, 5, 7, 8, 11, 15, 21, 31, 46, 6, 9, 11, 14, 18, 25, 36, 53, 9, 12, 15, 18, 23, 32, 45, 64, 13, 14, 21, 25, 32, 42, 57, 81, 19, 18, 31, 36, 45, 57, 77, 106, 29, 26, 46, 53, 64, 81, 106, 142], [3, 3, 3, 2, 2, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [4, 4, 4, 6, 9, 12, 15, 18, 4, 4, 4, 6, 9, 12, 15, 18, 4, 4, 6, 9, 12, 15, 18, 22, 6, 6, 9, 12, 15, 18, 22, 25, 9, 9, 12, 15, 18, 22, 25, 29, 12, 12, 15, 18, 22, 25, 29, 29, 15, 15, 18, 22, 25, 29, 29, 29, 18, 18, 22, 25, 29, 29, 29, 29], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 2, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [6, 4, 4, 6, 9, 11, 12, 16, 4, 5, 5, 6, 8, 10, 12, 12, 4, 5, 5, 6, 10, 12, 12, 12, 6, 6, 6, 11, 12, 12, 12, 12, 9, 8, 10, 12, 12, 12, 12, 12, 11, 10, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 16, 12, 12, 12, 12, 12, 12, 12], [11, 8, 7, 11, 17, 28, 36, 43, 8, 8, 10, 13, 18, 41, 42, 39, 10, 9, 11, 17, 28, 40, 48, 39, 10, 12, 15, 20, 36, 61, 56, 43, 13, 15, 26, 39, 48, 76, 72, 54, 17, 25, 39, 45, 57, 73, 79, 64, 34, 45, 55, 61, 72, 85, 84, 71, 50, 64, 67, 69, 78, 70, 72, 69], [13, 13, 13, 14, 20, 30, 45, 68, 13, 14, 16, 22, 27, 32, 42, 60, 13, 16, 19, 25, 34, 50, 73, 108, 14, 22, 25, 32, 42, 59, 85, 125, 20, 27, 34, 42, 55, 75, 105, 151, 30, 32, 50, 59, 75, 99, 135, 190, 45, 42, 73, 85, 105, 135, 181, 249, 68, 60, 108, 125, 151, 190, 249, 255], [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, 4, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 4, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [12, 8, 8, 12, 17, 21, 24, 17, 8, 9, 9, 11, 15, 19, 12, 12, 8, 9, 10, 12, 19, 12, 12, 12, 12, 11, 12, 21, 12, 12, 12, 12, 17, 15, 19, 12, 12, 12, 12, 12, 21, 19, 12, 12, 12, 12, 12, 12, 24, 12, 12, 12, 12, 12, 12, 12, 17, 12, 12, 12, 12, 12, 12, 12], [3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 4, 5, 3, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [26, 18, 16, 26, 39, 64, 82, 98, 19, 19, 23, 31, 42, 93, 97, 89, 23, 21, 26, 39, 64, 92, 111, 90, 23, 27, 35, 47, 82, 140, 129, 100, 29, 35, 60, 90, 109, 175, 166, 124, 39, 56, 89, 103, 130, 167, 182, 148, 79, 103, 126, 140, 166, 195, 193, 163, 116, 148, 153, 158, 180, 161, 166, 159], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [2, 2, 1, 2, 3, 6, 7, 8, 2, 2, 2, 3, 4, 8, 8, 8, 2, 2, 2, 3, 6, 8, 10, 8, 2, 2, 3, 4, 7, 12, 11, 9, 2, 3, 5, 8, 9, 15, 14, 11, 3, 5, 8, 9, 11, 14, 16, 13, 7, 9, 11, 12, 14, 17, 17, 14, 10, 13, 13, 14, 15, 14, 14, 14], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 3, 4, 1, 1, 2, 2, 2, 3, 4, 5, 1, 2, 2, 2, 2, 4, 5, 6], [9, 6, 6, 9, 13, 22, 29, 34, 7, 7, 8, 11, 15, 32, 34, 31, 8, 7, 9, 13, 22, 32, 39, 31, 8, 10, 12, 16, 29, 49, 45, 35, 10, 12, 21, 31, 38, 61, 58, 43, 13, 20, 31, 36, 45, 58, 63, 52, 27, 36, 44, 49, 58, 68, 67, 57, 40, 52, 53, 55, 63, 56, 58, 55], [6, 6, 9, 15, 15, 16, 16, 16, 6, 6, 9, 10, 14, 16, 16, 16, 9, 9, 10, 14, 16, 16, 16, 16, 15, 10, 14, 16, 16, 16, 16, 16, 15, 14, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 6, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [2, 2, 2, 2, 2, 2, 3, 4, 2, 2, 2, 2, 2, 3, 4, 3, 2, 2, 2, 2, 2, 3, 4, 3, 2, 2, 2, 2, 3, 5, 5, 4, 2, 2, 2, 3, 4, 7, 6, 5, 2, 2, 3, 4, 5, 6, 7, 8, 3, 4, 5, 5, 6, 7, 9, 11, 4, 6, 6, 6, 7, 8, 11, 14], [4, 3, 3, 4, 6, 7, 8, 10, 3, 3, 3, 4, 5, 6, 8, 10, 3, 3, 3, 4, 6, 9, 12, 12, 4, 4, 4, 7, 9, 12, 12, 17, 6, 5, 6, 9, 12, 13, 17, 20, 7, 6, 9, 12, 13, 17, 20, 20, 8, 8, 12, 12, 17, 20, 20, 20, 10, 10, 12, 17, 20, 20, 20, 20], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 5, 5, 5, 3, 3, 3, 4, 4, 7, 6, 7, 3, 3, 4, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [28, 28, 28, 48, 68, 92, 116, 140, 28, 28, 28, 48, 68, 92, 116, 140, 28, 28, 48, 68, 92, 116, 140, 168, 48, 48, 68, 92, 116, 140, 168, 196, 68, 68, 92, 116, 140, 168, 196, 220, 92, 92, 116, 140, 168, 196, 220, 220, 116, 116, 140, 168, 196, 220, 220, 220, 140, 140, 168, 196, 220, 220, 220, 220], [5, 5, 5, 5, 8, 11, 17, 26, 5, 5, 6, 8, 10, 12, 16, 23, 5, 6, 7, 9, 13, 19, 27, 41, 5, 8, 9, 12, 16, 22, 32, 47, 8, 10, 13, 16, 21, 28, 39, 57, 11, 12, 19, 22, 28, 37, 51, 71, 17, 16, 27, 32, 39, 51, 68, 93, 26, 23, 41, 47, 57, 71, 93, 125], [1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 3, 1, 1, 1, 2, 2, 2, 3, 3, 1, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3], [9, 6, 6, 9, 14, 23, 30, 35, 7, 7, 8, 11, 15, 34, 35, 32, 8, 8, 9, 14, 23, 33, 40, 32, 8, 10, 13, 17, 30, 50, 46, 36, 10, 13, 21, 32, 39, 63, 60, 45, 14, 20, 32, 37, 47, 60, 66, 53, 28, 37, 45, 50, 60, 70, 70, 59, 42, 53, 55, 57, 65, 58, 60, 57], [3, 3, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 4, 2, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [14, 10, 9, 14, 22, 36, 46, 55, 11, 11, 13, 17, 23, 52, 54, 50, 13, 12, 14, 22, 36, 51, 62, 50, 13, 15, 20, 26, 46, 78, 72, 56, 16, 20, 33, 50, 61, 98, 93, 69, 22, 32, 50, 58, 73, 94, 102, 83, 44, 58, 70, 78, 93, 109, 108, 91, 65, 83, 86, 88, 101, 90, 93, 89], [3, 3, 3, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 2, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 2, 2, 2, 2, 3, 4, 3, 2, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 2, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 6, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [6, 6, 6, 11, 15, 21, 26, 32, 6, 6, 6, 11, 15, 21, 26, 32, 6, 6, 11, 15, 21, 26, 32, 38, 11, 11, 15, 21, 26, 32, 38, 44, 15, 15, 21, 26, 32, 38, 44, 50, 21, 21, 26, 32, 38, 44, 50, 50, 26, 26, 32, 38, 44, 50, 50, 50, 32, 32, 38, 44, 50, 50, 50, 50], [7, 7, 7, 13, 18, 24, 31, 37, 7, 7, 7, 13, 18, 24, 31, 37, 7, 7, 13, 18, 24, 31, 37, 44, 13, 13, 18, 24, 31, 37, 44, 52, 18, 18, 24, 31, 37, 44, 52, 58, 24, 24, 31, 37, 44, 52, 58, 58, 31, 31, 37, 44, 52, 58, 58, 58, 37, 37, 44, 52, 58, 58, 58, 58], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 1, 3, 3, 3, 1, 1, 1, 1, 2, 3, 3, 3, 1, 1, 1, 2, 3, 4, 4, 3, 1, 1, 2, 3, 3, 5, 5, 4, 1, 2, 3, 3, 4, 5, 5, 4, 2, 3, 4, 4, 5, 6, 6, 5, 4, 4, 5, 5, 5, 5, 5, 5], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [26, 18, 16, 26, 40, 66, 85, 101, 20, 20, 23, 31, 43, 96, 100, 91, 23, 21, 26, 40, 66, 95, 115, 93, 23, 28, 36, 48, 85, 145, 133, 103, 30, 36, 61, 93, 113, 181, 171, 128, 40, 58, 91, 106, 135, 173, 188, 153, 81, 106, 130, 145, 171, 201, 200, 168, 120, 153, 158, 163, 186, 166, 171, 165], [4, 2, 2, 4, 6, 10, 12, 15, 3, 3, 3, 4, 6, 14, 15, 13, 3, 3, 4, 6, 10, 14, 17, 14, 3, 4, 5, 7, 12, 21, 20, 15, 4, 5, 9, 14, 17, 27, 25, 19, 6, 8, 13, 16, 20, 26, 28, 23, 12, 16, 19, 21, 25, 30, 30, 25, 18, 23, 23, 24, 28, 25, 25, 24], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 6, 7, 6, 7, 3, 3, 4, 5, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [20, 14, 12, 20, 30, 50, 64, 76, 15, 15, 18, 24, 32, 72, 75, 69, 18, 16, 20, 30, 50, 71, 86, 70, 18, 21, 28, 36, 64, 109, 100, 78, 22, 28, 46, 70, 85, 136, 129, 96, 30, 44, 69, 80, 101, 130, 141, 115, 61, 80, 98, 109, 129, 151, 150, 126, 90, 115, 119, 122, 140, 125, 129, 124], [3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 4, 2, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [10, 7, 7, 10, 15, 18, 20, 20, 7, 8, 8, 10, 13, 16, 15, 20, 7, 8, 8, 10, 16, 17, 23, 31, 10, 10, 10, 18, 17, 24, 31, 45, 15, 13, 16, 17, 26, 33, 44, 50, 18, 16, 17, 24, 33, 44, 50, 50, 20, 15, 23, 31, 44, 50, 50, 50, 20, 20, 31, 45, 50, 50, 50, 50], [3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 4, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [1, 1, 1, 1, 2, 2, 2, 3, 1, 1, 1, 1, 2, 2, 2, 3, 1, 1, 1, 1, 2, 3, 4, 5, 1, 1, 1, 2, 3, 4, 5, 7, 2, 2, 2, 3, 4, 5, 7, 8, 2, 2, 3, 4, 5, 7, 8, 8, 2, 2, 4, 5, 7, 8, 8, 8, 3, 3, 5, 7, 8, 8, 8, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 4, 3, 3, 2, 3, 3, 3, 4, 5, 3, 2, 2, 3, 4, 5, 6, 7, 3, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 3, 3, 4, 5, 6, 7, 4, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 4, 6, 6, 7, 7, 8, 8, 4, 4, 6, 6, 7, 7, 9, 9, 6, 6, 6, 7, 8, 8, 8, 9, 6, 6, 7, 7, 9, 10, 10, 10, 7, 7, 8, 9, 10, 10, 12, 12, 7, 7, 8, 10, 10, 12, 11, 13, 8, 9, 8, 10, 12, 11, 12, 11, 8, 9, 9, 10, 12, 13, 11, 9], [3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 4, 5, 3, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [6, 6, 6, 10, 14, 19, 24, 29, 6, 6, 6, 10, 14, 19, 24, 29, 6, 6, 10, 14, 19, 24, 29, 35, 10, 10, 14, 19, 24, 29, 35, 41, 14, 14, 19, 24, 29, 35, 41, 46, 19, 19, 24, 29, 35, 41, 46, 46, 24, 24, 29, 35, 41, 46, 46, 46, 29, 29, 35, 41, 46, 46, 46, 46], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 2, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [1, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 4, 5, 6, 6, 3, 3, 3, 4, 5, 7, 6, 8, 3, 3, 4, 5, 6, 9, 9, 10, 3, 3, 4, 6, 7, 9, 12, 15, 4, 5, 6, 7, 9, 12, 15, 20, 6, 7, 8, 8, 10, 15, 20, 26], [10, 10, 16, 25, 25, 27, 27, 27, 10, 11, 15, 18, 24, 27, 27, 27, 16, 15, 18, 24, 27, 27, 27, 27, 25, 18, 24, 27, 27, 27, 27, 27, 25, 24, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 5, 7, 6, 7, 3, 3, 4, 5, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 5, 7, 6, 7, 3, 3, 4, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [1, 1, 1, 2, 3, 6, 8, 10, 1, 1, 2, 3, 4, 8, 9, 8, 2, 2, 2, 3, 6, 8, 10, 8, 2, 2, 3, 4, 7, 12, 11, 9, 3, 3, 8, 11, 10, 16, 15, 11, 3, 5, 8, 10, 12, 15, 16, 13, 7, 10, 11, 12, 15, 17, 17, 14, 14, 13, 13, 15, 15, 14, 14, 14], [9, 6, 5, 9, 13, 22, 28, 33, 6, 6, 8, 10, 14, 31, 32, 30, 8, 7, 9, 13, 22, 31, 37, 30, 8, 9, 12, 16, 28, 47, 43, 33, 10, 12, 20, 30, 37, 59, 56, 42, 13, 19, 30, 35, 44, 56, 61, 50, 26, 35, 42, 47, 56, 65, 65, 55, 39, 50, 51, 53, 60, 54, 56, 53], [1, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 5, 5, 4, 3, 3, 3, 3, 3, 5, 6, 5, 3, 3, 3, 3, 4, 7, 6, 6, 3, 3, 3, 4, 5, 9, 8, 8, 3, 3, 4, 5, 6, 8, 9, 12, 4, 5, 6, 7, 8, 10, 12, 15, 6, 7, 8, 8, 9, 12, 15, 21], [3, 2, 2, 3, 4, 7, 9, 11, 2, 2, 3, 3, 5, 10, 11, 10, 3, 2, 3, 4, 7, 10, 12, 10, 3, 3, 4, 5, 9, 16, 14, 11, 3, 4, 7, 10, 12, 20, 19, 14, 4, 6, 10, 12, 15, 19, 20, 17, 9, 12, 14, 16, 19, 22, 22, 18, 13, 17, 17, 18, 20, 18, 19, 18], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [10, 7, 7, 10, 14, 17, 20, 17, 7, 7, 7, 9, 12, 16, 15, 17, 7, 7, 9, 11, 16, 17, 23, 31, 10, 9, 11, 16, 17, 26, 33, 43, 14, 12, 16, 17, 26, 33, 45, 50, 17, 16, 17, 26, 33, 45, 50, 50, 20, 15, 23, 33, 45, 50, 50, 50, 17, 17, 31, 43, 50, 50, 50, 50], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 2, 3, 4, 5, 6, 7, 3, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 3, 3, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 4, 3, 4, 5, 6, 7, 4, 4, 4, 4, 6, 7, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 4, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 4, 5, 3, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [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, 4, 5, 3, 3, 2, 3, 4, 5, 6, 7, 3, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 4, 2, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [10, 10, 10, 18, 25, 34, 43, 52, 10, 10, 10, 18, 25, 34, 43, 52, 10, 10, 18, 25, 34, 43, 52, 63, 18, 18, 25, 34, 43, 52, 63, 73, 25, 25, 34, 43, 52, 63, 73, 82, 34, 34, 43, 52, 63, 73, 82, 82, 43, 43, 52, 63, 73, 82, 82, 82, 52, 52, 63, 73, 82, 82, 82, 82], [3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 5, 6, 6, 6, 7, 11, 14, 19], [3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 4, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 6, 7, 6, 7, 3, 3, 4, 5, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 5, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [2, 2, 2, 2, 1, 2, 3, 4, 2, 2, 2, 2, 2, 3, 4, 3, 2, 2, 2, 2, 2, 3, 4, 3, 2, 2, 2, 2, 3, 5, 5, 4, 2, 1, 2, 3, 4, 7, 6, 5, 1, 2, 3, 4, 5, 6, 7, 8, 3, 4, 5, 5, 6, 7, 9, 11, 4, 6, 6, 6, 7, 8, 11, 14], [3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 3, 3, 4, 5, 6, 7, 4, 4, 3, 4, 6, 7, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [13, 9, 8, 13, 20, 33, 42, 50, 10, 10, 11, 16, 21, 48, 49, 45, 11, 11, 13, 20, 33, 47, 57, 46, 11, 14, 18, 24, 42, 71, 66, 51, 15, 18, 30, 46, 56, 89, 84, 63, 20, 29, 45, 52, 66, 85, 93, 75, 40, 52, 64, 71, 84, 99, 98, 83, 59, 75, 78, 80, 92, 82, 84, 81], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 2, 3, 4, 4, 1, 1, 1, 2, 3, 3, 2, 4, 2, 1, 2, 3, 3, 4, 3, 4, 1, 3, 4, 3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4], [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, 4, 3, 3, 4, 5, 3, 3, 3, 4, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 4, 3, 3, 2, 3, 3, 3, 4, 5, 3, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 4, 3, 3, 4, 6, 9, 12, 14, 4, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 4, 3, 4, 5, 6, 7, 4, 4, 4, 4, 6, 7, 8, 9, 4, 4, 3, 5, 6, 9, 11, 14, 5, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [2, 2, 5, 7, 8, 9, 11, 12, 2, 2, 5, 7, 9, 10, 11, 12, 5, 5, 6, 8, 10, 11, 12, 12, 7, 7, 8, 10, 11, 12, 12, 12, 8, 9, 10, 11, 12, 12, 12, 12, 9, 10, 11, 12, 12, 12, 12, 12, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 4, 7, 6, 7, 3, 3, 4, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], [6, 4, 4, 6, 9, 11, 12, 16, 4, 5, 5, 6, 8, 10, 12, 12, 4, 5, 5, 6, 10, 12, 14, 19, 6, 6, 6, 11, 12, 15, 19, 28, 9, 8, 10, 12, 16, 20, 27, 32, 11, 10, 12, 15, 20, 27, 32, 32, 12, 12, 14, 19, 27, 32, 32, 32, 16, 12, 19, 28, 32, 32, 32, 32], [1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 1, 1, 1, 2, 2, 3, 1, 1, 1, 1, 2, 2, 3, 4, 1, 1, 1, 2, 2, 3, 4, 6, 1, 1, 2, 2, 3, 4, 6, 7, 2, 2, 2, 3, 4, 6, 7, 7, 2, 2, 3, 4, 6, 7, 7, 7, 3, 3, 4, 6, 7, 7, 7, 7], [3, 3, 3, 2, 2, 2, 3, 4, 3, 2, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 2, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [5, 5, 6, 8, 12, 20, 26, 31, 6, 6, 7, 10, 13, 29, 30, 28, 7, 7, 8, 12, 20, 29, 35, 28, 7, 9, 11, 15, 26, 44, 40, 31, 9, 11, 19, 28, 34, 55, 52, 39, 12, 18, 28, 32, 41, 52, 57, 46, 25, 32, 39, 44, 52, 61, 60, 51, 36, 46, 48, 49, 56, 50, 52, 50], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [2, 2, 3, 3, 5, 5, 7, 8, 2, 2, 3, 4, 5, 6, 7, 9, 3, 3, 4, 5, 6, 8, 10, 11, 3, 4, 5, 6, 8, 10, 12, 12, 5, 5, 6, 8, 10, 12, 12, 12, 5, 6, 8, 10, 12, 12, 12, 12, 7, 7, 10, 12, 12, 12, 12, 12, 8, 9, 11, 12, 12, 12, 12, 12], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [8, 5, 5, 8, 12, 19, 24, 29, 6, 6, 7, 9, 12, 28, 29, 26, 7, 6, 8, 12, 19, 27, 33, 27, 7, 8, 11, 14, 24, 42, 38, 30, 9, 11, 18, 27, 33, 52, 49, 37, 12, 17, 26, 31, 39, 50, 54, 44, 24, 31, 37, 42, 49, 58, 58, 48, 35, 44, 46, 47, 54, 48, 49, 48], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 2, 3, 4, 5, 6, 7, 3, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 6, 6, 8, 9, 4, 4, 3, 5, 6, 9, 11, 14, 4, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [5, 5, 9, 9, 14, 14, 23, 23, 5, 6, 9, 12, 25, 16, 16, 24, 9, 9, 14, 18, 23, 20, 23, 35, 12, 14, 14, 16, 23, 20, 24, 24, 19, 18, 16, 20, 26, 28, 35, 35, 16, 14, 20, 23, 25, 24, 34, 35, 23, 26, 19, 31, 33, 34, 40, 23, 23, 19, 26, 24, 36, 39, 39, 53], [9, 6, 18, 19, 24, 23, 24, 23, 7, 18, 18, 22, 24, 24, 22, 26, 19, 19, 21, 22, 23, 25, 29, 27, 18, 22, 21, 24, 25, 37, 45, 23, 21, 23, 29, 21, 26, 49, 46, 33, 23, 23, 24, 24, 33, 48, 51, 40, 27, 24, 32, 37, 46, 56, 55, 46, 29, 40, 41, 45, 51, 45, 46, 45], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 5, 5, 5, 3, 3, 3, 4, 4, 7, 6, 7, 3, 3, 4, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 5, 6, 6, 6, 7, 4, 4, 3, 6, 8, 7, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 3, 3, 2, 2, 2, 3, 4, 2, 2, 2, 2, 2, 3, 4, 3, 2, 2, 2, 2, 2, 3, 4, 4, 2, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 3, 3, 1, 1, 1, 2, 2, 3, 3, 3, 1, 1, 2, 2, 3, 3, 3, 3, 1, 1, 2, 2, 3, 3, 3, 3], [3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [4, 2, 2, 4, 4, 8, 10, 12, 2, 2, 2, 4, 6, 12, 12, 12, 2, 2, 4, 4, 8, 12, 14, 12, 2, 4, 4, 6, 10, 18, 16, 12, 4, 4, 8, 12, 14, 22, 20, 16, 4, 8, 12, 12, 16, 20, 22, 18, 10, 12, 16, 18, 20, 24, 24, 20, 14, 18, 20, 20, 22, 20, 20, 20], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 2, 2, 2, 2, 3, 4, 2, 2, 2, 2, 2, 3, 4, 3, 2, 2, 2, 2, 2, 3, 4, 4, 2, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 4, 2, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 2, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [42, 29, 26, 42, 63, 105, 134, 160, 32, 32, 37, 50, 68, 153, 158, 145, 37, 34, 42, 63, 105, 150, 181, 147, 37, 45, 58, 76, 134, 229, 210, 163, 47, 58, 97, 147, 179, 255, 255, 203, 63, 92, 145, 168, 213, 255, 255, 242, 129, 168, 205, 229, 255, 255, 255, 255, 189, 242, 250, 255, 255, 255, 255, 255], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 2, 2, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 2, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 3, 3, 2, 3, 3, 3, 4, 5, 3, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 4, 2, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 6, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [1, 1, 1, 1, 2, 4, 5, 7, 1, 1, 1, 2, 4, 5, 7, 9, 1, 1, 2, 4, 5, 7, 9, 11, 1, 2, 4, 5, 7, 9, 11, 11, 2, 4, 5, 7, 9, 11, 11, 11, 4, 5, 7, 9, 11, 11, 12, 13, 5, 7, 9, 11, 11, 12, 13, 16, 7, 9, 11, 11, 12, 13, 16, 19], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 4, 2, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [1, 5, 3, 3, 3, 3, 4, 5, 5, 3, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 4, 5, 6, 6, 3, 3, 3, 4, 5, 7, 6, 8, 3, 3, 4, 5, 6, 9, 9, 10, 3, 3, 4, 6, 7, 9, 12, 15, 4, 5, 6, 7, 9, 12, 15, 20, 6, 7, 8, 8, 10, 15, 20, 26], [3, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 6, 7, 6, 7, 3, 3, 4, 5, 6, 7, 9, 11, 4, 4, 5, 6, 6, 9, 12, 14, 5, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 5, 5, 5, 3, 3, 3, 4, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [4, 3, 3, 4, 6, 7, 8, 10, 3, 3, 3, 4, 5, 6, 8, 10, 3, 3, 3, 4, 6, 9, 12, 12, 4, 4, 4, 7, 9, 12, 12, 12, 6, 5, 6, 9, 12, 12, 12, 12, 7, 6, 9, 12, 12, 12, 12, 12, 8, 8, 12, 12, 12, 12, 12, 12, 10, 10, 12, 12, 12, 12, 12, 12], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 5, 7, 6, 7, 3, 3, 4, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 5, 6, 6, 6, 7, 11, 14, 19], [1, 4, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 3, 5, 5, 4, 3, 3, 3, 3, 3, 5, 6, 5, 3, 3, 3, 3, 4, 7, 6, 6, 3, 3, 3, 4, 5, 9, 8, 8, 3, 3, 4, 5, 6, 8, 9, 12, 4, 5, 6, 7, 8, 10, 12, 15, 6, 7, 8, 8, 9, 12, 15, 21], [6, 4, 5, 6, 5, 4, 6, 6, 5, 6, 7, 7, 6, 8, 10, 16, 10, 10, 9, 9, 10, 20, 14, 15, 12, 16, 23, 20, 24, 24, 23, 20, 22, 22, 26, 29, 37, 31, 26, 27, 35, 28, 22, 22, 32, 44, 32, 35, 38, 39, 41, 42, 41, 25, 31, 45, 48, 45, 40, 48, 37, 40, 41, 40], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [7, 7, 7, 12, 17, 23, 30, 36, 7, 7, 7, 12, 17, 23, 30, 36, 7, 7, 12, 17, 23, 30, 36, 43, 12, 12, 17, 23, 30, 36, 43, 50, 17, 17, 23, 30, 36, 43, 50, 56, 23, 23, 30, 36, 43, 50, 56, 56, 30, 30, 36, 43, 50, 56, 56, 56, 36, 36, 43, 50, 56, 56, 56, 56], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [15, 11, 10, 15, 23, 38, 49, 59, 12, 12, 13, 18, 25, 56, 58, 53, 13, 12, 15, 23, 38, 55, 66, 54, 13, 16, 21, 28, 49, 84, 77, 60, 17, 21, 36, 54, 65, 105, 99, 74, 23, 34, 53, 61, 78, 100, 108, 88, 47, 61, 75, 84, 99, 116, 115, 97, 69, 88, 91, 94, 108, 96, 99, 95], [3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [5, 5, 5, 5, 7, 10, 20, 27, 5, 5, 5, 7, 8, 15, 23, 33, 5, 5, 5, 7, 15, 23, 27, 38, 5, 5, 7, 12, 22, 28, 40, 42, 7, 8, 17, 25, 37, 37, 43, 46, 7, 23, 25, 28, 33, 43, 50, 42, 22, 25, 37, 45, 25, 46, 50, 43, 23, 28, 33, 23, 33, 38, 42, 42], [3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 3, 3, 4, 5, 6, 7, 4, 4, 3, 4, 6, 6, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 4, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 4, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [1, 4, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 3, 5, 5, 4, 4, 3, 3, 3, 3, 5, 6, 5, 3, 3, 3, 3, 4, 7, 6, 6, 3, 3, 3, 4, 5, 9, 8, 8, 3, 3, 4, 5, 6, 8, 9, 12, 4, 5, 6, 7, 8, 10, 12, 15, 6, 7, 8, 8, 9, 12, 15, 21], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 4, 2, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 2, 3, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 5, 6, 7, 4, 4, 4, 5, 6, 6, 8, 9, 4, 4, 4, 5, 6, 9, 11, 14, 5, 4, 4, 6, 8, 11, 14, 18, 6, 4, 5, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 4, 3, 4, 5, 6, 7, 4, 3, 4, 4, 6, 6, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 4, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 4, 5, 5, 3, 3, 3, 4, 4, 5, 6, 5, 3, 3, 3, 4, 6, 6, 6, 7, 3, 3, 4, 5, 6, 7, 9, 11, 4, 4, 5, 6, 6, 9, 12, 14, 5, 5, 5, 5, 7, 11, 14, 19], [3, 3, 3, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [4, 4, 4, 8, 11, 15, 19, 22, 4, 4, 4, 8, 11, 15, 19, 22, 4, 4, 8, 11, 15, 19, 22, 27, 8, 8, 11, 15, 19, 22, 27, 31, 11, 11, 15, 19, 22, 27, 31, 35, 15, 15, 19, 22, 27, 31, 35, 35, 19, 19, 22, 27, 31, 35, 35, 35, 22, 22, 27, 31, 35, 35, 35, 35], [4, 4, 4, 8, 11, 15, 18, 22, 4, 4, 4, 8, 11, 15, 18, 22, 4, 4, 8, 11, 15, 18, 22, 27, 8, 8, 11, 15, 18, 22, 27, 31, 11, 11, 15, 18, 22, 27, 31, 35, 15, 15, 18, 22, 27, 31, 35, 35, 18, 18, 22, 27, 31, 35, 35, 35, 22, 22, 27, 31, 35, 35, 35, 35], [4, 4, 4, 6, 9, 12, 15, 19, 4, 4, 4, 6, 9, 12, 15, 19, 4, 4, 6, 9, 12, 15, 19, 22, 6, 6, 9, 12, 15, 19, 22, 26, 9, 9, 12, 15, 19, 22, 26, 29, 12, 12, 15, 19, 22, 26, 29, 29, 15, 15, 19, 22, 26, 29, 29, 29, 19, 19, 22, 26, 29, 29, 29, 29], [7, 7, 7, 11, 16, 22, 27, 33, 7, 7, 7, 11, 16, 22, 27, 33, 7, 7, 11, 16, 22, 27, 33, 40, 11, 11, 16, 22, 27, 33, 40, 46, 16, 16, 22, 27, 33, 40, 46, 52, 22, 22, 27, 33, 40, 46, 52, 52, 27, 27, 33, 40, 46, 52, 52, 52, 33, 33, 40, 46, 52, 52, 52, 52], [6, 6, 6, 11, 16, 21, 27, 32, 6, 6, 6, 11, 16, 21, 27, 32, 6, 6, 11, 16, 21, 27, 32, 39, 11, 11, 16, 21, 27, 32, 39, 45, 16, 16, 21, 27, 32, 39, 45, 51, 21, 21, 27, 32, 39, 45, 51, 51, 27, 27, 32, 39, 45, 51, 51, 51, 32, 32, 39, 45, 51, 51, 51, 51], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 2, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [5, 5, 5, 9, 13, 17, 22, 27, 5, 5, 5, 9, 13, 17, 22, 27, 5, 5, 9, 13, 17, 22, 27, 32, 9, 9, 13, 17, 22, 27, 32, 37, 13, 13, 17, 22, 27, 32, 37, 42, 17, 17, 22, 27, 32, 37, 42, 42, 22, 22, 27, 32, 37, 42, 42, 42, 27, 27, 32, 37, 42, 42, 42, 42], [3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 4, 3, 3, 4, 6, 7, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 4, 5, 6, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 4, 3, 4, 5, 6, 7, 4, 4, 4, 4, 6, 7, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 5, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 3, 3, 1, 1, 1, 2, 2, 2, 2, 3, 1, 1, 2, 2, 2, 3, 2, 3, 1, 2, 3, 2, 3, 3, 3, 3, 2, 2, 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, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [10, 7, 7, 10, 15, 18, 20, 17, 7, 8, 8, 10, 13, 16, 12, 12, 7, 8, 8, 10, 16, 12, 12, 12, 10, 10, 10, 18, 12, 12, 12, 12, 15, 13, 16, 12, 12, 12, 12, 12, 18, 16, 12, 12, 12, 12, 12, 12, 20, 12, 12, 12, 12, 12, 12, 12, 17, 12, 12, 12, 12, 12, 12, 12], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [1, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 5, 4, 4, 4, 5, 5, 7, 6, 6, 4, 4, 4, 5, 7, 9, 8, 8, 4, 4, 5, 6, 6, 8, 9, 12, 5, 5, 6, 7, 8, 10, 12, 15, 6, 7, 8, 8, 9, 12, 15, 21], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 5, 7, 6, 7, 3, 3, 4, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 3, 2, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 2, 2, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 2, 3, 3, 3, 4, 5, 3, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [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, 4, 4, 3, 4, 5, 3, 3, 3, 4, 4, 5, 6, 7, 3, 3, 4, 4, 5, 7, 9, 11, 4, 4, 4, 4, 6, 9, 12, 14, 4, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 3, 3, 3, 4, 5, 5, 6, 7, 3, 3, 4, 4, 5, 7, 9, 11, 4, 4, 4, 4, 6, 9, 12, 14, 4, 3, 4, 5, 7, 11, 14, 19], [3, 2, 10, 8, 8, 8, 8, 8, 2, 10, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 9, 8, 8, 8, 8, 8, 8, 9, 13, 8, 8, 8, 8, 8, 9, 13, 13, 8, 8, 8, 8, 8, 10, 8, 9, 8], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 4, 7, 6, 7, 3, 3, 4, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 6, 7, 6, 7, 3, 3, 4, 5, 6, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 5, 6, 6, 6, 7, 11, 14, 19], [3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [9, 6, 5, 9, 13, 22, 29, 35, 6, 6, 8, 11, 15, 33, 34, 30, 8, 7, 9, 13, 22, 33, 39, 31, 8, 9, 12, 16, 28, 49, 45, 34, 10, 12, 21, 32, 39, 61, 58, 42, 13, 19, 31, 36, 45, 58, 63, 51, 28, 36, 44, 49, 58, 68, 66, 55, 41, 52, 54, 55, 62, 56, 57, 54], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 6, 7, 6, 7, 3, 3, 4, 5, 6, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 5, 6, 6, 6, 7, 11, 14, 19], [3, 4, 4, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 4, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 6, 5, 3, 3, 3, 3, 6, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [4, 3, 3, 4, 7, 11, 14, 17, 3, 3, 4, 5, 7, 16, 17, 15, 4, 4, 4, 7, 11, 16, 19, 16, 4, 5, 6, 8, 14, 24, 22, 17, 5, 6, 10, 16, 19, 31, 29, 22, 7, 10, 15, 18, 23, 29, 32, 26, 14, 18, 22, 24, 29, 34, 34, 28, 20, 26, 27, 27, 31, 28, 29, 28], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [8, 6, 10, 8, 8, 8, 26, 31, 6, 10, 8, 9, 7, 29, 30, 28, 8, 8, 8, 8, 8, 29, 35, 28, 8, 8, 9, 7, 26, 44, 40, 31, 9, 9, 8, 28, 34, 55, 52, 39, 7, 8, 28, 32, 41, 52, 57, 46, 13, 32, 39, 44, 52, 64, 48, 51, 36, 46, 48, 49, 56, 38, 40, 50], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 2, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 4, 4, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 5, 5, 6, 5, 4, 4, 4, 5, 6, 6, 6, 7, 4, 4, 5, 6, 6, 7, 8, 9, 4, 4, 5, 7, 6, 9, 11, 14, 5, 5, 6, 6, 8, 11, 14, 18, 6, 6, 6, 7, 9, 14, 18, 24], [8, 6, 10, 8, 8, 8, 14, 31, 6, 10, 10, 8, 8, 29, 30, 28, 10, 10, 8, 8, 8, 29, 35, 28, 8, 8, 8, 7, 14, 53, 32, 31, 8, 8, 7, 28, 34, 55, 56, 39, 8, 7, 28, 32, 32, 56, 48, 46, 13, 32, 39, 44, 56, 61, 60, 40, 36, 46, 48, 49, 48, 40, 40, 40], [8, 6, 10, 8, 7, 8, 14, 31, 6, 10, 10, 8, 7, 29, 30, 28, 10, 10, 8, 7, 8, 29, 35, 28, 8, 8, 7, 7, 14, 53, 32, 31, 7, 8, 7, 28, 34, 55, 56, 39, 7, 7, 28, 32, 32, 56, 48, 46, 13, 32, 39, 44, 56, 61, 60, 40, 36, 46, 48, 49, 48, 40, 40, 40], [3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 4, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 3, 4, 5, 6, 7, 4, 4, 4, 4, 6, 7, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 2, 10, 10, 10, 10, 8, 8, 2, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 10, 8, 8, 10, 10, 8, 8, 8, 8, 8, 8, 10, 13, 8, 8, 8, 8, 8, 10, 13, 13, 8, 8, 8, 8, 8, 10, 8, 10, 8], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 5, 7, 6, 7, 3, 3, 4, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 5, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 5, 6, 6, 6, 7, 11, 14, 19], [3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 6, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 4, 3, 3, 4, 6, 6, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 3, 4, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 3, 6, 8, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 2, 9, 9, 9, 5, 7, 7, 2, 9, 9, 9, 8, 8, 7, 7, 9, 8, 8, 8, 8, 8, 7, 7, 9, 8, 8, 8, 5, 7, 7, 7, 8, 8, 8, 5, 7, 10, 9, 7, 8, 7, 7, 7, 7, 9, 11, 7, 7, 7, 7, 7, 9, 13, 13, 8, 7, 7, 7, 8, 10, 8, 9, 8], [3, 2, 9, 9, 9, 8, 7, 7, 2, 9, 9, 9, 8, 8, 7, 7, 9, 9, 9, 8, 8, 7, 7, 7, 9, 9, 8, 8, 5, 7, 7, 7, 9, 8, 8, 5, 7, 10, 9, 7, 5, 8, 8, 7, 7, 9, 11, 7, 7, 7, 7, 7, 9, 13, 13, 8, 7, 7, 7, 8, 10, 8, 9, 8], [6, 4, 4, 6, 10, 17, 22, 26, 5, 5, 6, 8, 11, 25, 26, 23, 6, 5, 6, 10, 17, 24, 30, 24, 6, 7, 9, 12, 22, 37, 34, 27, 7, 9, 16, 24, 29, 47, 44, 33, 10, 15, 23, 27, 35, 45, 49, 40, 21, 27, 33, 37, 44, 52, 52, 43, 31, 40, 41, 42, 48, 43, 44, 43], [3, 3, 3, 4, 5, 7, 11, 17, 3, 3, 4, 5, 7, 8, 11, 15, 3, 4, 5, 6, 9, 12, 18, 27, 4, 5, 6, 8, 11, 15, 21, 31, 5, 7, 9, 11, 14, 19, 26, 38, 7, 8, 12, 15, 19, 25, 34, 48, 11, 11, 18, 21, 26, 34, 45, 62, 17, 15, 27, 31, 38, 48, 62, 84], [7, 5, 4, 7, 11, 18, 22, 27, 5, 5, 6, 8, 11, 26, 26, 24, 6, 6, 7, 11, 18, 25, 30, 25, 6, 7, 10, 13, 22, 38, 35, 27, 8, 10, 16, 25, 30, 48, 45, 34, 11, 15, 24, 28, 36, 46, 50, 40, 22, 28, 34, 38, 45, 53, 53, 44, 32, 40, 42, 43, 49, 44, 45, 44], [2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 4, 5, 2, 2, 2, 3, 3, 5, 6, 8, 2, 2, 2, 3, 4, 6, 9, 11, 2, 2, 3, 3, 5, 8, 11, 14], [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, 4, 3, 3, 4, 5, 3, 3, 3, 4, 4, 5, 6, 7, 3, 3, 4, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 2, 2, 3, 4, 5, 6, 7, 3, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 4, 4, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 5, 4, 5, 6, 7, 4, 4, 5, 4, 6, 7, 8, 9, 4, 4, 4, 5, 6, 9, 11, 14, 5, 5, 5, 6, 8, 11, 14, 18, 5, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 6, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 4, 4, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 3, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 4, 4, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 6, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 4, 3, 3, 2, 3, 3, 3, 4, 5, 3, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 6, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [3, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 4, 3, 3, 4, 6, 6, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 4, 3, 4, 5, 6, 7, 4, 4, 5, 4, 6, 6, 8, 9, 4, 4, 5, 5, 6, 9, 11, 14, 5, 4, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [1, 4, 4, 3, 3, 3, 4, 5, 4, 4, 3, 3, 3, 5, 5, 4, 4, 3, 3, 3, 3, 5, 6, 5, 3, 3, 3, 3, 4, 7, 6, 6, 3, 3, 3, 4, 5, 9, 8, 8, 3, 3, 4, 5, 6, 8, 9, 12, 4, 5, 6, 7, 8, 10, 12, 15, 6, 7, 8, 8, 9, 12, 15, 21], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 6, 7, 6, 7, 3, 3, 4, 5, 7, 7, 9, 11, 4, 4, 5, 6, 6, 9, 12, 14, 5, 6, 6, 6, 7, 11, 14, 19], [3, 2, 2, 2, 2, 2, 3, 4, 3, 2, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 3, 2, 1, 1, 1, 2, 3, 3, 3, 1, 1, 1, 2, 3, 3, 4, 5, 1, 1, 2, 3, 3, 5, 6, 8, 1, 2, 2, 3, 4, 6, 9, 11, 2, 2, 3, 3, 5, 8, 11, 14], [3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 4, 2, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 2, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [16, 11, 11, 16, 23, 27, 31, 30, 11, 12, 12, 15, 20, 23, 23, 30, 11, 12, 13, 16, 23, 26, 35, 47, 16, 15, 16, 23, 26, 37, 47, 64, 23, 20, 23, 26, 39, 51, 64, 64, 27, 23, 26, 37, 51, 64, 64, 64, 31, 23, 35, 47, 64, 64, 64, 64, 30, 30, 47, 64, 64, 64, 64, 64], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [7, 7, 7, 12, 17, 22, 28, 34, 7, 7, 7, 12, 17, 22, 28, 34, 7, 7, 12, 17, 22, 28, 34, 41, 12, 12, 17, 22, 28, 34, 41, 48, 17, 17, 22, 28, 34, 41, 48, 53, 22, 22, 28, 34, 41, 48, 53, 53, 28, 28, 34, 41, 48, 53, 53, 53, 34, 34, 41, 48, 53, 53, 53, 53], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 2, 3, 3, 3, 4, 5, 3, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [10, 7, 20, 23, 26, 23, 27, 25, 8, 20, 20, 23, 26, 26, 25, 32, 19, 16, 23, 23, 25, 24, 29, 24, 19, 23, 26, 24, 25, 46, 36, 25, 17, 20, 34, 23, 28, 59, 50, 37, 24, 23, 28, 26, 36, 50, 56, 44, 24, 27, 35, 41, 50, 61, 60, 49, 32, 44, 45, 47, 59, 49, 51, 47], [3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 4, 2, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 2, 8, 8, 9, 9, 8, 8, 2, 8, 8, 10, 9, 9, 8, 5, 8, 8, 9, 9, 9, 8, 9, 6, 9, 10, 9, 8, 8, 8, 5, 6, 9, 8, 9, 8, 8, 22, 9, 6, 9, 8, 8, 5, 6, 9, 13, 6, 8, 8, 8, 9, 9, 24, 13, 8, 8, 8, 8, 8, 22, 10, 9, 8], [3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 3, 3, 2, 3, 3, 3, 4, 5, 3, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 2, 3, 4, 5, 6, 7, 3, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 2, 2, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 2, 2, 3, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 2, 3, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [11, 9, 9, 7, 9, 9, 13, 16, 9, 9, 9, 9, 9, 12, 12, 29, 7, 9, 9, 9, 11, 17, 37, 25, 9, 11, 11, 11, 14, 29, 31, 26, 9, 9, 11, 13, 26, 28, 54, 42, 11, 12, 14, 37, 41, 53, 50, 25, 11, 12, 18, 41, 55, 62, 48, 59, 18, 25, 22, 37, 45, 41, 33, 19], [8, 6, 6, 8, 12, 14, 16, 17, 6, 6, 6, 8, 10, 13, 12, 12, 6, 6, 7, 8, 13, 12, 12, 12, 8, 8, 8, 14, 12, 12, 12, 12, 12, 10, 13, 12, 12, 12, 12, 12, 14, 13, 12, 12, 12, 12, 12, 12, 16, 12, 12, 12, 12, 12, 12, 12, 17, 12, 12, 12, 12, 12, 12, 12], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 4, 5, 3, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [9, 6, 18, 21, 23, 21, 21, 22, 7, 18, 20, 20, 18, 21, 24, 22, 20, 18, 19, 23, 28, 20, 29, 23, 18, 22, 23, 20, 23, 37, 33, 24, 22, 24, 23, 24, 28, 49, 46, 31, 24, 26, 23, 24, 33, 48, 51, 40, 26, 24, 32, 37, 46, 56, 55, 45, 28, 40, 41, 45, 51, 44, 46, 43], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 2, 3, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 4, 7, 6, 7, 3, 3, 4, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 2, 2, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 2, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 4, 5, 3, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 6, 6, 6, 7, 3, 3, 4, 5, 6, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 4, 4, 5, 7, 11, 14, 19], [3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 5, 6, 7, 4, 3, 3, 4, 6, 7, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 5, 4, 5, 6, 8, 11, 14, 18, 5, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 4, 3, 4, 5, 6, 7, 4, 4, 3, 4, 6, 6, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 4, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [9, 6, 15, 21, 21, 21, 21, 23, 7, 16, 16, 21, 15, 21, 22, 21, 16, 15, 21, 21, 21, 21, 30, 21, 18, 16, 21, 21, 21, 37, 33, 23, 16, 15, 16, 21, 26, 49, 46, 31, 21, 21, 21, 24, 33, 46, 51, 40, 21, 24, 32, 37, 46, 56, 55, 45, 30, 40, 41, 43, 51, 45, 46, 43], [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, 3, 2, 2, 2, 2, 2, 2, 4, 4, 3, 2, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 4, 4, 4, 4, 2, 3, 3, 3, 4, 4, 4, 3], [8, 6, 9, 8, 8, 8, 14, 31, 6, 10, 10, 8, 8, 29, 30, 28, 9, 10, 8, 8, 8, 29, 35, 28, 8, 8, 8, 8, 26, 53, 32, 31, 8, 8, 8, 28, 34, 55, 45, 39, 8, 7, 28, 32, 32, 56, 48, 46, 25, 32, 39, 44, 45, 61, 60, 40, 36, 46, 48, 49, 48, 40, 52, 40], [3, 3, 3, 3, 5, 6, 7, 9, 3, 3, 3, 3, 5, 6, 7, 8, 3, 3, 3, 3, 6, 7, 9, 12, 3, 3, 3, 6, 7, 9, 12, 17, 4, 5, 6, 7, 10, 13, 17, 18, 6, 6, 7, 9, 13, 17, 18, 18, 7, 7, 9, 12, 17, 18, 18, 18, 9, 8, 12, 17, 18, 18, 18, 18], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 6, 7, 8, 9, 4, 4, 4, 5, 6, 9, 11, 14, 5, 5, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 4, 3, 3, 4, 5, 6, 7, 4, 4, 4, 4, 6, 7, 8, 9, 4, 4, 4, 5, 6, 9, 11, 14, 5, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 2, 7, 8, 6, 7, 5, 7, 2, 6, 6, 6, 5, 5, 6, 5, 7, 6, 6, 6, 6, 5, 5, 5, 5, 6, 6, 6, 5, 5, 6, 5, 6, 5, 6, 5, 5, 10, 9, 15, 7, 5, 5, 6, 5, 9, 11, 6, 5, 5, 5, 6, 9, 13, 13, 8, 5, 7, 7, 8, 10, 8, 9, 8], [3, 2, 7, 5, 6, 7, 5, 7, 2, 5, 5, 5, 5, 5, 5, 5, 7, 6, 5, 6, 5, 5, 6, 5, 5, 6, 6, 6, 5, 5, 6, 5, 6, 5, 5, 5, 5, 10, 9, 6, 7, 6, 5, 5, 5, 9, 11, 6, 5, 5, 6, 5, 9, 13, 13, 8, 5, 7, 7, 8, 10, 8, 9, 8], [3, 2, 7, 5, 6, 7, 5, 5, 2, 5, 6, 6, 5, 5, 6, 5, 7, 6, 6, 5, 8, 5, 6, 5, 5, 6, 6, 6, 5, 6, 6, 5, 6, 5, 7, 5, 5, 10, 9, 6, 7, 7, 5, 5, 5, 9, 11, 6, 5, 5, 5, 5, 9, 13, 13, 8, 5, 6, 7, 8, 10, 8, 9, 8], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 5, 6, 6, 6, 7, 11, 14, 19], [9, 6, 17, 16, 21, 21, 21, 22, 7, 16, 16, 21, 21, 24, 22, 22, 16, 16, 16, 17, 15, 26, 27, 19, 15, 21, 23, 16, 21, 38, 33, 26, 16, 23, 22, 21, 31, 49, 46, 31, 22, 16, 24, 24, 35, 46, 51, 40, 16, 24, 32, 38, 46, 56, 55, 45, 30, 40, 41, 43, 51, 45, 46, 43], [3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 4, 3, 3, 4, 5, 6, 7, 4, 4, 3, 4, 6, 6, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 3, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 4, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 4, 4, 3, 3, 4, 5, 6, 7, 4, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 3, 1, 1, 1, 1, 2, 3, 3, 3, 1, 1, 1, 2, 3, 3, 4, 5, 1, 1, 2, 3, 3, 5, 6, 8, 1, 2, 2, 3, 4, 6, 9, 11, 2, 2, 3, 3, 5, 8, 11, 14], [3, 3, 2, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 4, 5, 3, 2, 2, 3, 4, 5, 6, 7, 3, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [16, 11, 17, 27, 34, 39, 34, 17, 11, 12, 16, 26, 28, 23, 12, 12, 17, 16, 21, 28, 23, 12, 12, 12, 27, 26, 28, 23, 12, 12, 12, 12, 34, 28, 23, 12, 12, 12, 12, 12, 39, 23, 12, 12, 12, 12, 12, 12, 34, 12, 12, 12, 12, 12, 12, 12, 17, 12, 12, 12, 12, 12, 12, 12], [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, 4, 3, 3, 4, 5, 3, 3, 3, 4, 4, 5, 6, 7, 3, 3, 4, 3, 5, 7, 9, 11, 4, 4, 3, 4, 6, 9, 12, 14, 5, 5, 4, 5, 7, 11, 14, 19], [3, 3, 3, 2, 2, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [1, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 5, 4, 4, 4, 5, 4, 7, 6, 6, 4, 4, 3, 4, 5, 9, 8, 8, 3, 3, 4, 5, 6, 8, 9, 12, 4, 5, 6, 7, 8, 10, 12, 15, 6, 7, 8, 8, 9, 12, 15, 21], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 4, 3, 3, 4, 5, 6, 7, 4, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 3, 3, 2, 1, 1, 1, 2, 2, 3, 3, 2, 1, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 2, 3, 2], [1, 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, 1, 2, 2, 2, 1, 1, 1, 1, 2, 3, 3, 2, 1, 1, 1, 2, 2, 3, 3, 2, 1, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3], [3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 3, 3, 2, 3, 3, 3, 4, 5, 3, 3, 2, 3, 4, 5, 6, 7, 3, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 3, 3, 2, 3, 3, 3, 4, 5, 3, 2, 2, 3, 4, 5, 6, 7, 3, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [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, 4, 4, 3, 4, 5, 3, 3, 3, 4, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 3, 3, 3, 4, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 6, 6, 6, 7, 3, 3, 4, 5, 6, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 4, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 3, 3, 3, 4, 4, 5, 6, 7, 3, 3, 4, 4, 5, 7, 9, 11, 4, 3, 3, 4, 6, 9, 12, 14, 4, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 5, 5, 5, 3, 3, 3, 4, 4, 7, 6, 7, 3, 3, 4, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 5, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 2, 2, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 4, 4, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 4, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 5, 6, 7, 4, 4, 5, 4, 6, 6, 8, 9, 4, 4, 4, 5, 6, 9, 11, 14, 5, 3, 4, 6, 8, 11, 14, 18, 4, 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3, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 4, 5, 3, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 4, 3, 3, 4, 5, 6, 7, 4, 4, 3, 4, 6, 7, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 4, 5, 3, 3, 3, 4, 6, 5, 6, 7, 3, 3, 4, 5, 5, 7, 9, 11, 4, 4, 4, 4, 6, 9, 12, 14, 4, 4, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 6, 6, 6, 7, 3, 3, 4, 5, 6, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 5, 5, 5, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 4, 5, 3, 3, 3, 4, 5, 5, 6, 7, 3, 3, 4, 5, 5, 7, 9, 11, 4, 4, 4, 4, 6, 9, 12, 14, 5, 4, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 3, 3, 3, 4, 5, 5, 6, 7, 3, 3, 4, 4, 5, 7, 9, 11, 4, 4, 4, 4, 6, 9, 12, 14, 4, 4, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 3, 4, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 5, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 4, 5, 3, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 3, 3, 2, 3, 3, 3, 4, 5, 3, 3, 2, 3, 4, 5, 6, 7, 3, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 4, 5, 3, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 6, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 4, 3, 3, 4, 6, 6, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 4, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 4, 5, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 4, 3, 3, 4, 6, 6, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 3, 3, 2, 3, 3, 3, 4, 5, 3, 3, 2, 3, 4, 5, 6, 7, 3, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 4, 3, 3, 4, 6, 6, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 4, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [3, 2, 10, 10, 10, 10, 10, 8, 2, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 8, 8, 8, 8, 10, 10, 10, 8, 8, 10, 10, 8, 10, 10, 10, 10, 8, 10, 11, 8, 10, 10, 10, 8, 10, 13, 13, 8, 8, 8, 8, 8, 10, 8, 10, 8], [3, 2, 10, 10, 10, 8, 8, 8, 2, 10, 10, 10, 10, 8, 8, 8, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 10, 10, 8, 10, 10, 8, 10, 10, 10, 8, 8, 10, 13, 7, 10, 8, 8, 8, 10, 13, 13, 8, 8, 8, 8, 8, 10, 8, 9, 8], [3, 3, 3, 2, 2, 2, 3, 4, 3, 2, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 4, 3, 4, 5, 6, 7, 4, 4, 4, 4, 6, 6, 8, 9, 4, 4, 3, 5, 6, 9, 11, 14, 4, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 4, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 2, 2, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 2, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [2, 2, 2, 4, 4, 8, 10, 14, 2, 2, 4, 4, 6, 8, 10, 14, 2, 4, 4, 4, 6, 8, 12, 16, 4, 4, 4, 6, 6, 10, 12, 16, 4, 6, 6, 6, 8, 10, 14, 18, 8, 8, 8, 10, 10, 14, 16, 20, 10, 10, 12, 12, 14, 16, 20, 24, 14, 14, 16, 16, 18, 20, 24, 28], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 6, 7, 8, 9, 4, 4, 3, 5, 6, 9, 11, 14, 4, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [80, 55, 50, 80, 120, 200, 255, 255, 60, 60, 70, 95, 130, 255, 255, 255, 70, 65, 80, 120, 200, 255, 255, 255, 70, 85, 110, 145, 255, 255, 255, 255, 90, 110, 185, 255, 255, 255, 255, 255, 120, 175, 255, 255, 255, 255, 255, 255, 245, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255], [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, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 4, 5, 1, 1, 2, 3, 3, 5, 6, 8, 1, 2, 2, 3, 4, 6, 9, 11, 2, 2, 3, 3, 5, 8, 11, 14], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 2, 2, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 2, 2, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [1, 1, 1, 1, 2, 4, 5, 6, 1, 1, 1, 2, 2, 6, 6, 6, 1, 1, 1, 2, 4, 6, 7, 6, 1, 1, 2, 3, 5, 9, 8, 6, 1, 2, 4, 6, 7, 11, 11, 8, 2, 3, 6, 6, 8, 11, 12, 10, 5, 6, 8, 9, 11, 13, 13, 11, 7, 10, 10, 10, 12, 10, 11, 10], [1, 1, 1, 1, 2, 4, 5, 6, 1, 1, 1, 2, 2, 6, 6, 5, 1, 1, 1, 2, 4, 6, 7, 6, 1, 1, 2, 3, 5, 9, 8, 6, 1, 2, 4, 6, 7, 11, 11, 8, 2, 3, 5, 6, 8, 11, 12, 9, 5, 6, 8, 9, 11, 13, 13, 10, 7, 9, 10, 10, 12, 10, 11, 10], [1, 1, 1, 1, 2, 4, 5, 6, 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11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 4, 5, 6, 3, 3, 3, 4, 4, 5, 6, 6, 3, 3, 3, 4, 6, 7, 8, 7, 3, 3, 4, 5, 7, 8, 9, 11, 4, 4, 5, 6, 8, 9, 12, 14, 5, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 5, 7, 6, 7, 3, 3, 4, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [1, 4, 4, 3, 3, 3, 4, 5, 4, 4, 4, 3, 3, 5, 5, 4, 4, 4, 3, 3, 3, 5, 6, 5, 4, 3, 3, 3, 4, 7, 6, 6, 4, 3, 3, 4, 5, 9, 8, 8, 3, 3, 4, 5, 6, 8, 9, 12, 4, 5, 6, 7, 8, 10, 12, 15, 6, 7, 8, 8, 9, 12, 15, 21], [1, 4, 4, 3, 3, 3, 4, 5, 4, 4, 3, 3, 3, 5, 5, 4, 4, 4, 3, 3, 3, 5, 6, 5, 4, 3, 3, 3, 4, 7, 6, 6, 3, 3, 3, 4, 5, 9, 8, 8, 3, 3, 4, 5, 6, 8, 9, 12, 4, 5, 6, 7, 8, 10, 12, 15, 6, 7, 8, 8, 9, 12, 15, 21], [1, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 4, 3, 5, 5, 4, 4, 4, 4, 3, 3, 5, 6, 5, 4, 4, 4, 3, 4, 7, 6, 6, 4, 3, 3, 4, 5, 9, 8, 8, 3, 3, 4, 5, 6, 8, 9, 12, 4, 5, 6, 7, 8, 10, 12, 15, 6, 7, 8, 8, 9, 12, 15, 21], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 4, 5, 5, 3, 3, 3, 4, 4, 5, 6, 6, 3, 3, 3, 4, 6, 7, 6, 7, 3, 3, 4, 5, 7, 7, 9, 11, 4, 4, 5, 6, 6, 9, 12, 14, 5, 6, 6, 6, 7, 11, 14, 19], [3, 4, 4, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 5, 6, 7, 4, 4, 5, 6, 6, 7, 8, 9, 4, 4, 5, 6, 6, 9, 11, 14, 5, 5, 5, 6, 8, 11, 14, 18, 6, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 5, 6, 7, 4, 4, 5, 6, 6, 7, 8, 9, 4, 4, 5, 6, 6, 9, 11, 14, 5, 5, 5, 6, 8, 11, 14, 18, 5, 6, 6, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 4, 5, 5, 3, 3, 3, 4, 4, 5, 6, 5, 3, 3, 3, 4, 6, 7, 6, 7, 3, 3, 4, 5, 6, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 5, 6, 6, 6, 7, 11, 14, 19], [15, 10, 9, 15, 22, 37, 47, 56, 11, 11, 13, 17, 24, 53, 55, 51, 13, 12, 15, 22, 37, 52, 63, 52, 13, 16, 20, 27, 47, 80, 74, 57, 17, 20, 34, 52, 63, 100, 95, 71, 22, 32, 51, 59, 75, 96, 104, 85, 45, 59, 72, 80, 95, 111, 110, 93, 66, 85, 87, 90, 103, 92, 95, 91], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 4, 3, 2, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 6, 6, 8, 9, 4, 4, 3, 5, 6, 9, 11, 14, 4, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [6, 6, 6, 7, 10, 14, 21, 32, 6, 6, 8, 10, 13, 15, 20, 29, 6, 8, 9, 12, 16, 24, 35, 51, 7, 10, 12, 15, 20, 28, 40, 59, 10, 13, 16, 20, 26, 36, 50, 72, 14, 15, 24, 28, 36, 47, 64, 90, 21, 20, 35, 40, 50, 64, 86, 118, 32, 29, 51, 59, 72, 90, 118, 159], [3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 3, 3, 2, 3, 3, 3, 4, 5, 3, 3, 2, 3, 4, 5, 6, 7, 3, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 4, 5, 6, 3, 3, 3, 4, 4, 5, 6, 6, 3, 3, 3, 4, 6, 7, 6, 7, 3, 3, 4, 5, 7, 7, 9, 11, 4, 4, 5, 6, 6, 9, 12, 14, 5, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 4, 5, 6, 3, 3, 3, 4, 4, 5, 6, 6, 3, 3, 3, 4, 6, 7, 7, 7, 3, 3, 4, 5, 7, 8, 9, 11, 4, 4, 5, 6, 8, 9, 12, 14, 5, 6, 6, 7, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 4, 5, 6, 3, 3, 3, 4, 4, 5, 6, 6, 3, 3, 3, 4, 6, 7, 7, 7, 3, 3, 4, 5, 7, 8, 9, 11, 4, 4, 5, 6, 7, 9, 12, 14, 5, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 6, 7, 6, 7, 3, 3, 4, 5, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 4, 3, 3, 4, 6, 7, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 4, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 6, 7, 4, 4, 5, 4, 6, 7, 8, 9, 4, 4, 4, 5, 6, 9, 11, 14, 5, 4, 5, 6, 8, 11, 14, 18, 6, 6, 6, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [1, 4, 3, 3, 3, 3, 4, 5, 4, 4, 3, 3, 3, 5, 5, 4, 4, 3, 3, 3, 3, 5, 6, 5, 3, 3, 3, 3, 4, 7, 6, 6, 3, 3, 3, 4, 5, 9, 8, 8, 3, 3, 4, 5, 6, 8, 9, 12, 4, 5, 6, 7, 8, 10, 12, 15, 6, 7, 8, 8, 9, 12, 15, 21], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 4, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 6, 6, 6, 7, 3, 3, 4, 5, 6, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 5, 5, 5, 5, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [7, 5, 5, 7, 10, 12, 14, 17, 5, 5, 5, 7, 9, 11, 12, 14, 5, 5, 6, 7, 11, 12, 16, 21, 7, 7, 7, 12, 12, 17, 21, 31, 10, 9, 11, 12, 17, 23, 31, 35, 12, 11, 12, 17, 23, 31, 35, 35, 14, 12, 16, 21, 31, 35, 35, 35, 17, 14, 21, 31, 35, 35, 35, 35], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 2, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 4, 5, 3, 3, 3, 4, 6, 5, 6, 7, 3, 3, 4, 5, 6, 7, 9, 11, 4, 4, 4, 4, 6, 9, 12, 14, 4, 4, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 4, 7, 6, 7, 3, 3, 4, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 5, 6, 6, 6, 7, 11, 14, 19], [3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 6, 7, 8, 9, 4, 4, 4, 5, 6, 9, 11, 14, 5, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 5, 6, 7, 4, 4, 5, 5, 6, 7, 8, 9, 4, 4, 4, 5, 6, 9, 11, 14, 5, 5, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 5, 6, 7, 4, 4, 5, 5, 6, 7, 8, 9, 4, 4, 5, 5, 6, 9, 11, 14, 5, 5, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 5, 6, 7, 4, 4, 5, 5, 6, 7, 8, 9, 4, 4, 5, 5, 6, 9, 11, 14, 5, 5, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 4, 3, 3, 4, 5, 6, 7, 4, 3, 3, 4, 6, 7, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 4, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 2, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [2, 2, 1, 2, 3, 6, 7, 9, 2, 2, 2, 3, 4, 8, 8, 8, 2, 2, 2, 3, 6, 8, 10, 8, 2, 2, 3, 4, 7, 12, 11, 9, 3, 3, 5, 8, 10, 15, 14, 11, 3, 5, 8, 9, 11, 15, 16, 13, 7, 9, 11, 12, 14, 17, 17, 14, 10, 13, 13, 14, 16, 14, 14, 14], [3, 3, 3, 2, 2, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 2, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 6, 7, 8, 9, 4, 4, 4, 5, 6, 9, 11, 14, 5, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 4, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 5, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 4, 3, 2, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [5, 3, 9, 13, 10, 10, 22, 23, 4, 9, 9, 9, 9, 16, 8, 8, 9, 9, 9, 9, 10, 8, 27, 16, 9, 9, 9, 9, 23, 16, 26, 28, 10, 10, 10, 16, 23, 27, 30, 26, 9, 10, 16, 26, 24, 26, 30, 17, 24, 24, 8, 16, 30, 31, 35, 28, 13, 27, 13, 32, 32, 14, 34, 13], [5, 4, 11, 13, 13, 13, 22, 23, 4, 11, 11, 13, 13, 13, 7, 7, 11, 11, 13, 13, 13, 8, 28, 24, 11, 13, 13, 13, 23, 13, 27, 29, 13, 13, 13, 24, 24, 28, 31, 27, 13, 7, 9, 27, 25, 15, 31, 29, 25, 24, 13, 23, 31, 32, 36, 29, 14, 28, 14, 33, 33, 15, 35, 13], [2, 2, 2, 3, 4, 7, 9, 10, 2, 2, 3, 3, 4, 10, 10, 9, 3, 2, 3, 4, 7, 9, 12, 9, 3, 3, 3, 5, 9, 15, 14, 10, 3, 3, 6, 9, 12, 19, 18, 13, 4, 6, 9, 11, 14, 18, 20, 15, 9, 11, 14, 15, 18, 21, 21, 17, 12, 15, 16, 17, 19, 17, 18, 17], [11, 8, 16, 16, 29, 16, 32, 40, 8, 16, 16, 21, 30, 41, 42, 29, 16, 16, 16, 29, 16, 40, 48, 29, 16, 16, 21, 32, 32, 56, 48, 31, 16, 21, 16, 32, 40, 72, 64, 42, 29, 16, 32, 40, 48, 65, 75, 52, 22, 40, 48, 56, 63, 85, 84, 71, 48, 56, 63, 63, 71, 58, 72, 69], [3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 4, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [16, 11, 10, 16, 24, 41, 52, 62, 12, 12, 14, 19, 27, 59, 61, 56, 14, 13, 16, 24, 41, 58, 70, 57, 14, 17, 22, 30, 52, 89, 82, 63, 18, 22, 38, 57, 69, 111, 105, 79, 24, 36, 56, 65, 83, 106, 115, 94, 50, 65, 80, 89, 105, 123, 122, 103, 73, 94, 97, 100, 114, 102, 105, 101], [14, 9, 9, 14, 21, 34, 44, 52, 10, 10, 12, 16, 22, 50, 52, 47, 12, 11, 14, 21, 34, 49, 59, 48, 12, 15, 19, 25, 44, 75, 69, 53, 15, 19, 32, 48, 58, 94, 89, 66, 21, 30, 47, 55, 70, 89, 97, 79, 42, 55, 67, 75, 89, 104, 103, 87, 62, 79, 82, 84, 96, 86, 89, 85], [12, 8, 8, 12, 18, 30, 39, 46, 9, 9, 11, 14, 20, 44, 46, 42, 11, 10, 12, 18, 30, 43, 52, 43, 11, 13, 17, 22, 39, 66, 61, 47, 14, 17, 28, 43, 52, 83, 78, 59, 18, 27, 42, 49, 62, 79, 86, 70, 37, 49, 59, 66, 78, 92, 91, 77, 55, 70, 72, 74, 85, 76, 78, 75], [13, 9, 8, 13, 20, 34, 43, 51, 10, 10, 12, 16, 22, 49, 50, 46, 12, 11, 13, 20, 34, 48, 58, 47, 12, 14, 18, 24, 43, 73, 67, 52, 15, 18, 31, 47, 57, 92, 87, 65, 20, 29, 46, 54, 68, 87, 95, 77, 41, 54, 66, 73, 87, 102, 101, 85, 60, 77, 80, 82, 94, 84, 87, 83], [3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 4, 3, 3, 2, 3, 3, 3, 4, 5, 3, 2, 2, 3, 4, 5, 6, 7, 3, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [1, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 5, 6, 5, 4, 4, 4, 5, 4, 7, 6, 6, 4, 4, 4, 4, 5, 9, 8, 8, 4, 4, 4, 5, 6, 8, 9, 12, 4, 5, 6, 7, 8, 10, 12, 15, 6, 7, 8, 8, 9, 12, 15, 21], [2, 2, 2, 2, 1, 2, 3, 4, 2, 2, 2, 1, 2, 3, 4, 3, 2, 2, 2, 1, 2, 3, 4, 3, 2, 2, 1, 2, 3, 5, 5, 4, 1, 1, 2, 3, 4, 7, 6, 5, 1, 2, 3, 4, 5, 6, 7, 8, 3, 4, 5, 5, 6, 7, 9, 11, 4, 6, 6, 6, 7, 8, 11, 14], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 5, 6, 7, 4, 4, 5, 5, 6, 7, 8, 9, 4, 4, 4, 5, 6, 9, 11, 14, 4, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 3, 4, 5, 6, 7, 4, 4, 4, 4, 6, 7, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [22, 15, 14, 22, 33, 55, 70, 84, 17, 17, 19, 26, 36, 80, 83, 76, 19, 18, 22, 33, 55, 79, 95, 77, 19, 23, 30, 40, 70, 120, 110, 86, 25, 30, 51, 77, 94, 150, 142, 106, 33, 48, 76, 88, 112, 144, 156, 127, 68, 88, 108, 120, 142, 167, 166, 139, 99, 127, 131, 135, 155, 138, 142, 137], [3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 4, 3, 3, 4, 5, 6, 7, 4, 3, 3, 4, 6, 7, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 4, 5, 4, 5, 6, 7, 4, 4, 5, 4, 6, 7, 8, 9, 4, 4, 4, 5, 6, 9, 11, 14, 4, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 6, 7, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 5, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 6, 7, 8, 9, 4, 4, 4, 5, 6, 9, 11, 14, 4, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [4, 4, 6, 10, 10, 10, 10, 10, 4, 4, 6, 7, 9, 10, 10, 10, 6, 6, 7, 9, 10, 10, 10, 10, 10, 7, 9, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 5, 6, 7, 4, 4, 5, 5, 6, 7, 8, 9, 4, 4, 5, 5, 6, 9, 11, 14, 5, 5, 5, 6, 8, 11, 14, 18, 5, 6, 6, 7, 9, 14, 18, 24], [61, 42, 38, 61, 92, 154, 196, 234, 46, 46, 54, 73, 100, 223, 230, 211, 54, 50, 61, 92, 154, 219, 255, 215, 54, 65, 84, 111, 196, 255, 255, 238, 69, 84, 142, 215, 255, 255, 255, 255, 92, 134, 211, 246, 255, 255, 255, 255, 188, 246, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255], [3, 4, 4, 4, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 3, 4, 4, 5, 6, 7, 4, 3, 3, 4, 6, 6, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 5, 3, 4, 6, 8, 11, 14, 18, 5, 4, 5, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 4, 3, 3, 4, 5, 6, 7, 4, 3, 3, 4, 6, 6, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 4, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 4, 3, 3, 2, 3, 3, 3, 4, 5, 3, 3, 2, 3, 4, 5, 6, 7, 3, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 2, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 4, 5, 5, 3, 3, 3, 4, 4, 5, 6, 5, 3, 3, 3, 4, 6, 6, 6, 7, 3, 3, 4, 5, 6, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 5, 5, 5, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 6, 6, 6, 7, 3, 3, 4, 5, 6, 7, 9, 11, 4, 4, 5, 6, 6, 9, 12, 14, 5, 5, 5, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 6, 6, 6, 7, 3, 3, 4, 5, 6, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 5, 5, 5, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 4, 5, 6, 3, 3, 3, 4, 4, 5, 6, 6, 3, 3, 3, 4, 6, 7, 6, 7, 3, 3, 4, 5, 7, 7, 9, 11, 4, 4, 5, 6, 6, 9, 12, 14, 5, 5, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 4, 5, 5, 3, 3, 3, 4, 4, 5, 6, 5, 3, 3, 3, 4, 6, 7, 6, 7, 3, 3, 4, 5, 7, 7, 9, 11, 4, 4, 5, 6, 6, 9, 12, 14, 5, 5, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 2, 2, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 3, 2, 2, 1, 1, 2, 3, 3, 3, 1, 1, 1, 2, 3, 3, 4, 5, 1, 1, 2, 3, 3, 5, 6, 8, 1, 2, 2, 3, 4, 6, 9, 11, 2, 2, 3, 3, 5, 8, 11, 14], [3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [10, 7, 11, 15, 20, 23, 30, 27, 7, 7, 12, 18, 21, 23, 23, 29, 11, 12, 19, 21, 23, 25, 33, 37, 15, 18, 21, 23, 25, 33, 40, 47, 20, 21, 23, 25, 33, 40, 50, 50, 23, 23, 25, 33, 40, 50, 50, 50, 30, 23, 33, 40, 50, 50, 50, 50, 27, 29, 37, 47, 50, 50, 50, 50], [3, 2, 1, 3, 4, 7, 9, 11, 2, 2, 2, 3, 4, 10, 11, 10, 2, 2, 3, 4, 7, 10, 12, 10, 2, 3, 4, 5, 9, 16, 15, 11, 3, 4, 6, 10, 12, 20, 19, 14, 4, 6, 10, 12, 15, 19, 21, 17, 9, 12, 14, 16, 19, 22, 22, 18, 13, 17, 17, 18, 21, 18, 19, 18], [5, 5, 5, 8, 11, 15, 19, 23, 5, 5, 5, 8, 11, 15, 19, 23, 5, 5, 8, 11, 15, 19, 23, 28, 8, 8, 11, 15, 19, 23, 28, 32, 11, 11, 15, 19, 23, 28, 32, 36, 15, 15, 19, 23, 28, 32, 36, 36, 19, 19, 23, 28, 32, 36, 36, 36, 23, 23, 28, 32, 36, 36, 36, 36], [4, 4, 4, 7, 10, 14, 17, 21, 4, 4, 4, 7, 10, 14, 17, 21, 4, 4, 7, 10, 14, 17, 21, 25, 7, 7, 10, 14, 17, 21, 25, 29, 10, 10, 14, 17, 21, 25, 29, 32, 14, 14, 17, 21, 25, 29, 32, 32, 17, 17, 21, 25, 29, 32, 32, 32, 21, 21, 25, 29, 32, 32, 32, 32], [5, 5, 5, 9, 13, 18, 23, 27, 5, 5, 5, 9, 13, 18, 23, 27, 5, 5, 9, 13, 18, 23, 27, 33, 9, 9, 13, 18, 23, 27, 33, 38, 13, 13, 18, 23, 27, 33, 38, 43, 18, 18, 23, 27, 33, 38, 43, 43, 23, 23, 27, 33, 38, 43, 43, 43, 27, 27, 33, 38, 43, 43, 43, 43], [7, 7, 7, 12, 16, 22, 28, 34, 7, 7, 7, 12, 16, 22, 28, 34, 7, 7, 12, 16, 22, 28, 34, 40, 12, 12, 16, 22, 28, 34, 40, 47, 16, 16, 22, 28, 34, 40, 47, 53, 22, 22, 28, 34, 40, 47, 53, 53, 28, 28, 34, 40, 47, 53, 53, 53, 34, 34, 40, 47, 53, 53, 53, 53], [6, 6, 6, 10, 15, 20, 25, 30, 6, 6, 6, 10, 15, 20, 25, 30, 6, 6, 10, 15, 20, 25, 30, 36, 10, 10, 15, 20, 25, 30, 36, 42, 15, 15, 20, 25, 30, 36, 42, 48, 20, 20, 25, 30, 36, 42, 48, 48, 25, 25, 30, 36, 42, 48, 48, 48, 30, 30, 36, 42, 48, 48, 48, 48], [7, 7, 7, 12, 17, 23, 29, 34, 7, 7, 7, 12, 17, 23, 29, 34, 7, 7, 12, 17, 23, 29, 34, 41, 12, 12, 17, 23, 29, 34, 41, 48, 17, 17, 23, 29, 34, 41, 48, 54, 23, 23, 29, 34, 41, 48, 54, 54, 29, 29, 34, 41, 48, 54, 54, 54, 34, 34, 41, 48, 54, 54, 54, 54], [7, 7, 7, 13, 18, 24, 30, 37, 7, 7, 7, 13, 18, 24, 30, 37, 7, 7, 13, 18, 24, 30, 37, 44, 13, 13, 18, 24, 30, 37, 44, 51, 18, 18, 24, 30, 37, 44, 51, 58, 24, 24, 30, 37, 44, 51, 58, 58, 30, 30, 37, 44, 51, 58, 58, 58, 37, 37, 44, 51, 58, 58, 58, 58], [4, 4, 4, 7, 10, 13, 17, 20, 4, 4, 4, 7, 10, 13, 17, 20, 4, 4, 7, 10, 13, 17, 20, 24, 7, 7, 10, 13, 17, 20, 24, 28, 10, 10, 13, 17, 20, 24, 28, 32, 13, 13, 17, 20, 24, 28, 32, 32, 17, 17, 20, 24, 28, 32, 32, 32, 20, 20, 24, 28, 32, 32, 32, 32], [6, 6, 6, 11, 15, 20, 26, 31, 6, 6, 6, 11, 15, 20, 26, 31, 6, 6, 11, 15, 20, 26, 31, 37, 11, 11, 15, 20, 26, 31, 37, 44, 15, 15, 20, 26, 31, 37, 44, 49, 20, 20, 26, 31, 37, 44, 49, 49, 26, 26, 31, 37, 44, 49, 49, 49, 31, 31, 37, 44, 49, 49, 49, 49], [6, 6, 6, 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4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 4, 4, 3, 4, 5, 3, 3, 3, 4, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 4, 4, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 2, 9, 8, 9, 6, 8, 7, 2, 9, 9, 8, 9, 6, 8, 7, 9, 9, 8, 9, 6, 8, 7, 7, 8, 8, 9, 6, 8, 5, 7, 7, 9, 9, 6, 8, 5, 10, 9, 7, 6, 6, 8, 5, 7, 9, 11, 7, 8, 8, 7, 7, 9, 13, 13, 8, 7, 7, 7, 8, 10, 8, 9, 8], [3, 2, 9, 8, 9, 7, 7, 7, 2, 9, 9, 8, 9, 7, 7, 7, 9, 9, 8, 9, 6, 7, 7, 7, 8, 8, 9, 6, 8, 7, 7, 7, 9, 9, 6, 8, 7, 10, 9, 7, 6, 7, 8, 7, 7, 9, 11, 7, 7, 7, 7, 7, 9, 13, 13, 8, 7, 7, 7, 8, 10, 8, 9, 8], [3, 2, 10, 8, 9, 6, 8, 7, 2, 10, 10, 8, 9, 6, 8, 7, 9, 9, 8, 9, 6, 8, 7, 7, 8, 8, 9, 6, 8, 5, 7, 7, 9, 9, 6, 8, 5, 10, 9, 7, 6, 6, 8, 5, 7, 9, 11, 7, 8, 8, 7, 7, 9, 13, 13, 8, 7, 7, 7, 8, 10, 8, 9, 8], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 2, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 4, 5, 2, 2, 2, 3, 3, 5, 6, 8, 1, 2, 2, 3, 4, 6, 9, 11, 2, 2, 3, 3, 5, 8, 11, 14], [3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 4, 2, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [4, 4, 4, 6, 9, 12, 15, 18, 4, 4, 4, 6, 9, 12, 15, 18, 4, 4, 6, 9, 12, 15, 18, 22, 6, 6, 9, 12, 15, 18, 22, 26, 9, 9, 12, 15, 18, 22, 26, 29, 12, 12, 15, 18, 22, 26, 29, 29, 15, 15, 18, 22, 26, 29, 29, 29, 18, 18, 22, 26, 29, 29, 29, 29], [4, 4, 4, 7, 10, 13, 16, 20, 4, 4, 4, 7, 10, 13, 16, 20, 4, 4, 7, 10, 13, 16, 20, 24, 7, 7, 10, 13, 16, 20, 24, 28, 10, 10, 13, 16, 20, 24, 28, 31, 13, 13, 16, 20, 24, 28, 31, 31, 16, 16, 20, 24, 28, 31, 31, 31, 20, 20, 24, 28, 31, 31, 31, 31], [4, 4, 4, 7, 9, 13, 16, 19, 4, 4, 4, 7, 9, 13, 16, 19, 4, 4, 7, 9, 13, 16, 19, 23, 7, 7, 9, 13, 16, 19, 23, 27, 9, 9, 13, 16, 19, 23, 27, 30, 13, 13, 16, 19, 23, 27, 30, 30, 16, 16, 19, 23, 27, 30, 30, 30, 19, 19, 23, 27, 30, 30, 30, 30], [5, 5, 5, 8, 12, 16, 20, 24, 5, 5, 5, 8, 12, 16, 20, 24, 5, 5, 8, 12, 16, 20, 24, 29, 8, 8, 12, 16, 20, 24, 29, 34, 12, 12, 16, 20, 24, 29, 34, 38, 16, 16, 20, 24, 29, 34, 38, 38, 20, 20, 24, 29, 34, 38, 38, 38, 24, 24, 29, 34, 38, 38, 38, 38], [3, 3, 3, 6, 8, 11, 14, 17, 3, 3, 3, 6, 8, 11, 14, 17, 3, 3, 6, 8, 11, 14, 17, 21, 6, 6, 8, 11, 14, 17, 21, 24, 8, 8, 11, 14, 17, 21, 24, 27, 11, 11, 14, 17, 21, 24, 27, 27, 14, 14, 17, 21, 24, 27, 27, 27, 17, 17, 21, 24, 27, 27, 27, 27], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [1, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 6, 5, 4, 4, 4, 5, 5, 7, 6, 6, 4, 4, 4, 5, 6, 9, 8, 8, 4, 4, 5, 5, 6, 8, 9, 12, 4, 5, 6, 7, 8, 10, 12, 15, 6, 7, 8, 8, 9, 12, 15, 21], [1, 4, 4, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 5, 5, 5, 4, 4, 4, 4, 4, 5, 6, 5, 4, 4, 4, 5, 5, 7, 6, 6, 4, 4, 4, 5, 7, 9, 8, 8, 4, 4, 5, 5, 6, 8, 9, 12, 4, 5, 6, 7, 8, 10, 12, 15, 6, 7, 8, 8, 9, 12, 15, 21], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 3, 3, 4, 5, 6, 7, 4, 3, 3, 4, 6, 7, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 2, 3, 4, 5, 6, 7, 3, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 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46, 13, 13, 19, 25, 32, 39, 46, 54, 19, 19, 25, 32, 39, 46, 54, 61, 25, 25, 32, 39, 46, 54, 61, 61, 32, 32, 39, 46, 54, 61, 61, 61, 39, 39, 46, 54, 61, 61, 61, 61], [8, 8, 8, 14, 19, 26, 33, 39, 8, 8, 8, 14, 19, 26, 33, 39, 8, 8, 14, 19, 26, 33, 39, 47, 14, 14, 19, 26, 33, 39, 47, 55, 19, 19, 26, 33, 39, 47, 55, 62, 26, 26, 33, 39, 47, 55, 62, 62, 33, 33, 39, 47, 55, 62, 62, 62, 39, 39, 47, 55, 62, 62, 62, 62], [8, 8, 8, 13, 18, 25, 31, 38, 8, 8, 8, 13, 18, 25, 31, 38, 8, 8, 13, 18, 25, 31, 38, 45, 13, 13, 18, 25, 31, 38, 45, 53, 18, 18, 25, 31, 38, 45, 53, 59, 25, 25, 31, 38, 45, 53, 59, 59, 31, 31, 38, 45, 53, 59, 59, 59, 38, 38, 45, 53, 59, 59, 59, 59], [8, 8, 8, 13, 19, 26, 32, 39, 8, 8, 8, 13, 19, 26, 32, 39, 8, 8, 13, 19, 26, 32, 39, 47, 13, 13, 19, 26, 32, 39, 47, 54, 19, 19, 26, 32, 39, 47, 54, 61, 26, 26, 32, 39, 47, 54, 61, 61, 32, 32, 39, 47, 54, 61, 61, 61, 39, 39, 47, 54, 61, 61, 61, 61], [8, 6, 16, 16, 9, 8, 26, 31, 6, 16, 16, 16, 9, 27, 18, 16, 16, 16, 16, 9, 8, 29, 23, 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12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [11, 8, 8, 10, 9, 28, 27, 32, 8, 8, 8, 10, 8, 32, 32, 39, 8, 8, 10, 10, 28, 40, 56, 39, 8, 10, 9, 20, 27, 72, 64, 32, 10, 9, 26, 39, 38, 88, 77, 43, 9, 13, 39, 48, 64, 80, 67, 76, 34, 33, 43, 71, 81, 73, 72, 59, 56, 73, 67, 80, 66, 58, 60, 57], [8, 6, 8, 9, 7, 8, 14, 31, 6, 8, 8, 9, 7, 29, 30, 16, 8, 8, 9, 7, 8, 29, 23, 16, 9, 9, 7, 7, 14, 35, 40, 31, 7, 7, 7, 28, 34, 55, 52, 39, 7, 7, 16, 32, 41, 52, 57, 46, 13, 32, 39, 44, 52, 64, 60, 51, 24, 46, 48, 49, 64, 50, 52, 50], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 5, 4, 4, 4, 5, 4, 5, 6, 7, 4, 4, 5, 5, 6, 6, 8, 9, 4, 4, 5, 5, 6, 9, 11, 14, 5, 5, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [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, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 4, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [9, 6, 16, 16, 16, 16, 37, 42, 7, 13, 21, 22, 22, 24, 32, 14, 13, 22, 22, 22, 32, 37, 49, 53, 16, 26, 27, 26, 38, 43, 48, 52, 16, 16, 34, 37, 43, 48, 45, 37, 42, 32, 38, 48, 45, 59, 56, 59, 33, 38, 37, 42, 45, 64, 64, 51, 43, 38, 46, 64, 48, 53, 58, 45], [9, 6, 16, 16, 16, 16, 29, 42, 7, 13, 21, 21, 21, 24, 32, 14, 13, 21, 21, 22, 32, 37, 49, 53, 16, 26, 27, 26, 37, 43, 48, 52, 16, 16, 34, 37, 43, 48, 56, 37, 42, 32, 38, 48, 45, 58, 56, 58, 33, 38, 37, 42, 56, 48, 64, 51, 42, 37, 46, 64, 48, 53, 58, 33], [13, 13, 13, 23, 32, 43, 55, 66, 13, 13, 13, 23, 32, 43, 55, 66, 13, 13, 23, 32, 43, 55, 66, 79, 23, 23, 32, 43, 55, 66, 79, 92, 32, 32, 43, 55, 66, 79, 92, 104, 43, 43, 55, 66, 79, 92, 104, 104, 55, 55, 66, 79, 92, 104, 104, 104, 66, 66, 79, 92, 104, 104, 104, 104], [3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 4, 3, 3, 4, 6, 6, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 5, 7, 6, 7, 3, 3, 4, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 4, 3, 3, 4, 5, 6, 7, 4, 4, 4, 4, 6, 6, 8, 9, 4, 4, 3, 5, 6, 9, 11, 14, 3, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [6, 6, 6, 10, 14, 18, 23, 28, 6, 6, 6, 10, 14, 18, 23, 28, 6, 6, 10, 14, 18, 23, 28, 33, 10, 10, 14, 18, 23, 28, 33, 39, 14, 14, 18, 23, 28, 33, 39, 44, 18, 18, 23, 28, 33, 39, 44, 44, 23, 23, 28, 33, 39, 44, 44, 44, 28, 28, 33, 39, 44, 44, 44, 44], [4, 4, 4, 6, 10, 16, 20, 24, 5, 5, 6, 8, 10, 23, 24, 22, 6, 5, 6, 10, 16, 23, 28, 22, 6, 7, 9, 12, 20, 35, 32, 25, 7, 9, 15, 22, 27, 44, 41, 31, 10, 14, 22, 26, 32, 42, 45, 37, 20, 26, 31, 35, 41, 48, 48, 40, 29, 37, 38, 39, 45, 40, 41, 40], [9, 6, 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6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 3, 3, 5, 7, 9, 12, 14, 3, 3, 3, 5, 7, 9, 12, 14, 3, 3, 5, 7, 9, 12, 14, 17, 5, 5, 7, 9, 12, 14, 17, 20, 7, 7, 9, 12, 14, 17, 20, 22, 9, 9, 12, 14, 17, 20, 22, 22, 12, 12, 14, 17, 20, 22, 22, 22, 14, 14, 17, 20, 22, 22, 22, 22], [1, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 5, 5, 4, 3, 3, 3, 3, 3, 5, 6, 4, 3, 3, 3, 3, 4, 7, 6, 5, 3, 3, 3, 4, 5, 9, 8, 6, 3, 3, 4, 5, 6, 8, 9, 9, 4, 5, 6, 7, 8, 10, 10, 12, 6, 7, 8, 8, 9, 9, 12, 15], [1, 4, 4, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 5, 5, 6, 4, 4, 4, 4, 4, 5, 6, 6, 4, 4, 4, 5, 5, 7, 7, 6, 4, 4, 4, 5, 7, 9, 8, 8, 4, 4, 5, 6, 8, 8, 9, 12, 5, 5, 6, 7, 9, 10, 12, 15, 6, 7, 8, 8, 9, 12, 15, 21], [1, 2, 2, 2, 2, 3, 4, 5, 3, 2, 2, 2, 2, 5, 5, 4, 2, 2, 2, 2, 3, 5, 6, 4, 2, 2, 2, 2, 4, 7, 6, 5, 2, 2, 3, 4, 5, 9, 8, 6, 2, 3, 4, 5, 6, 8, 9, 9, 4, 5, 6, 7, 8, 10, 10, 12, 6, 7, 8, 8, 9, 9, 12, 15], [3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 4, 2, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 6, 7, 6, 7, 3, 3, 4, 5, 6, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 4, 4, 4, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 4, 3, 3, 4, 6, 7, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 5, 4, 5, 6, 8, 11, 14, 18, 5, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 4, 3, 3, 4, 6, 7, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 5, 4, 5, 6, 8, 11, 14, 18, 5, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 4, 5, 6, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 4, 4, 5, 6, 7, 4, 3, 4, 4, 6, 7, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 5, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 4, 3, 3, 4, 6, 7, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 2, 8, 8, 8, 7, 8, 7, 2, 8, 8, 7, 7, 7, 7, 7, 8, 8, 7, 7, 7, 7, 6, 6, 8, 7, 7, 7, 7, 7, 7, 6, 8, 7, 7, 7, 7, 10, 9, 7, 8, 7, 7, 7, 7, 9, 11, 6, 8, 7, 7, 7, 9, 13, 13, 8, 7, 7, 7, 8, 10, 8, 9, 8], [3, 2, 10, 10, 10, 10, 8, 8, 2, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 8, 8, 10, 13, 8, 8, 8, 8, 8, 10, 13, 13, 8, 8, 8, 8, 8, 10, 8, 10, 8], [3, 2, 8, 8, 8, 8, 8, 8, 2, 8, 8, 8, 8, 8, 8, 7, 8, 8, 8, 8, 8, 8, 7, 7, 8, 8, 8, 8, 7, 7, 7, 7, 8, 8, 8, 7, 7, 10, 9, 7, 8, 8, 8, 7, 7, 9, 11, 7, 8, 8, 7, 7, 9, 13, 13, 8, 8, 7, 7, 8, 10, 8, 9, 8], [3, 2, 8, 8, 8, 8, 8, 8, 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, 10, 9, 7, 8, 8, 8, 8, 8, 9, 11, 7, 8, 8, 8, 8, 9, 13, 13, 8, 8, 8, 8, 8, 10, 8, 9, 8], [3, 2, 11, 8, 8, 8, 8, 8, 2, 10, 8, 8, 8, 8, 8, 8, 8, 10, 8, 8, 8, 8, 8, 8, 8, 10, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 8, 8, 8, 8, 8, 8, 10, 13, 8, 8, 8, 8, 8, 10, 13, 13, 8, 8, 8, 8, 8, 10, 8, 10, 8], [3, 2, 8, 8, 8, 8, 8, 8, 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, 10, 9, 8, 8, 8, 8, 8, 8, 9, 13, 8, 8, 8, 8, 8, 9, 13, 13, 8, 8, 8, 8, 8, 10, 8, 9, 8], [3, 2, 8, 8, 8, 8, 8, 8, 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, 10, 9, 8, 8, 8, 8, 8, 8, 10, 13, 8, 8, 8, 8, 8, 9, 13, 13, 8, 8, 8, 8, 8, 10, 8, 9, 8], [3, 2, 11, 11, 10, 10, 8, 10, 2, 10, 10, 8, 10, 10, 13, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 13, 10, 10, 10, 10, 10, 10, 10, 10, 13, 10, 10, 10, 10, 10, 10, 13, 13, 10, 10, 10, 8, 10, 10, 10, 11, 10], [8, 5, 5, 8, 12, 20, 25, 30, 6, 6, 7, 9, 13, 29, 30, 27, 7, 6, 8, 12, 20, 28, 34, 28, 7, 8, 11, 14, 25, 43, 40, 31, 9, 11, 18, 28, 34, 54, 51, 38, 12, 17, 27, 32, 40, 52, 56, 46, 24, 32, 39, 43, 51, 60, 60, 50, 36, 46, 47, 49, 56, 50, 51, 49], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 4, 5, 6, 3, 3, 3, 4, 4, 5, 6, 6, 3, 3, 3, 4, 6, 7, 7, 7, 3, 3, 4, 5, 7, 7, 9, 11, 4, 4, 5, 6, 7, 9, 12, 14, 5, 6, 6, 6, 7, 11, 14, 19], [8, 6, 16, 17, 16, 18, 14, 21, 6, 6, 7, 16, 16, 18, 22, 16, 15, 7, 16, 16, 18, 23, 24, 16, 16, 16, 16, 18, 23, 44, 32, 21, 16, 16, 18, 23, 24, 55, 42, 27, 13, 18, 16, 21, 32, 42, 47, 34, 13, 22, 27, 32, 42, 49, 48, 39, 24, 46, 37, 49, 56, 38, 40, 40], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [1, 4, 3, 3, 3, 3, 4, 5, 4, 4, 3, 3, 3, 5, 5, 4, 4, 3, 3, 3, 3, 5, 6, 5, 4, 3, 3, 3, 4, 7, 6, 6, 3, 3, 3, 4, 5, 9, 8, 8, 3, 3, 4, 5, 6, 8, 9, 12, 4, 5, 6, 7, 8, 10, 12, 15, 6, 7, 8, 8, 9, 12, 15, 21], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 2, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 2, 10, 10, 10, 10, 10, 10, 2, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 8, 10, 10, 10, 10, 10, 13, 13, 8, 10, 10, 10, 10, 10, 10, 10, 8], [3, 2, 10, 10, 10, 10, 10, 8, 2, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 8, 8, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 11, 8, 10, 10, 10, 8, 10, 13, 13, 8, 8, 8, 8, 8, 10, 8, 10, 8], [3, 2, 10, 10, 10, 10, 10, 8, 2, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 11, 8, 10, 10, 10, 10, 10, 13, 13, 8, 10, 10, 10, 10, 10, 8, 10, 8], [3, 2, 10, 10, 10, 10, 10, 10, 2, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 11, 8, 10, 10, 10, 10, 10, 13, 13, 8, 10, 10, 10, 10, 10, 8, 10, 8], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 4, 5, 3, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 3, 3, 2, 3, 3, 3, 4, 5, 3, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 3, 3, 2, 3, 3, 3, 4, 5, 3, 2, 2, 3, 4, 5, 6, 7, 3, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 4, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 2, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 6, 7, 6, 7, 3, 3, 3, 4, 6, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 6, 7, 6, 7, 3, 3, 4, 5, 7, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 5, 7, 6, 7, 2, 3, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 6, 7, 6, 7, 3, 3, 4, 5, 7, 7, 9, 11, 3, 4, 5, 6, 7, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 6, 7, 6, 7, 3, 3, 4, 5, 7, 7, 9, 11, 3, 4, 5, 6, 8, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 5, 5, 5, 3, 3, 3, 4, 5, 7, 6, 7, 3, 3, 4, 5, 6, 7, 9, 11, 3, 4, 5, 6, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 3, 4, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 5, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 6, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 6, 7, 6, 7, 3, 3, 4, 5, 6, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 5, 7, 6, 7, 3, 3, 4, 5, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 5, 6, 6, 6, 7, 11, 14, 19], [7, 7, 7, 12, 18, 24, 30, 36, 7, 7, 7, 12, 18, 24, 30, 36, 7, 7, 12, 18, 24, 30, 36, 44, 12, 12, 18, 24, 30, 36, 44, 51, 18, 18, 24, 30, 36, 44, 51, 57, 24, 24, 30, 36, 44, 51, 57, 57, 30, 30, 36, 44, 51, 57, 57, 57, 36, 36, 44, 51, 57, 57, 57, 57], [3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 6, 6, 6, 7, 4, 4, 5, 6, 6, 7, 8, 9, 4, 4, 5, 6, 6, 9, 11, 14, 5, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 3, 4, 5, 6, 7, 4, 3, 3, 4, 6, 7, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 4, 5, 5, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 6, 7, 6, 7, 3, 3, 4, 5, 6, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 5, 6, 6, 6, 7, 11, 14, 19], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 5, 5, 6, 7, 4, 4, 4, 4, 6, 7, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [20, 14, 13, 20, 30, 50, 64, 76, 15, 15, 18, 24, 33, 73, 75, 69, 18, 16, 20, 30, 50, 71, 86, 70, 18, 21, 28, 36, 64, 109, 100, 78, 23, 28, 46, 70, 85, 136, 129, 96, 30, 44, 69, 80, 101, 130, 141, 115, 61, 80, 98, 109, 129, 151, 150, 126, 90, 115, 119, 123, 140, 125, 129, 124], [22, 15, 14, 22, 32, 54, 69, 82, 16, 16, 19, 26, 35, 78, 81, 74, 19, 18, 22, 32, 54, 77, 93, 76, 19, 23, 30, 39, 69, 117, 108, 84, 24, 30, 50, 76, 92, 147, 139, 104, 32, 47, 74, 86, 109, 140, 153, 124, 66, 86, 105, 117, 139, 163, 162, 136, 97, 124, 128, 132, 151, 135, 139, 134], [17, 12, 11, 17, 25, 42, 54, 65, 13, 13, 15, 20, 28, 61, 64, 58, 15, 14, 17, 25, 42, 60, 73, 59, 15, 18, 23, 31, 54, 92, 85, 66, 19, 23, 39, 59, 72, 116, 109, 82, 25, 37, 58, 68, 86, 110, 120, 98, 52, 68, 83, 92, 109, 128, 127, 107, 76, 98, 101, 104, 119, 106, 109, 105], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 5, 5, 3, 3, 3, 4, 4, 5, 6, 5, 3, 3, 3, 4, 6, 7, 6, 7, 3, 3, 4, 5, 6, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [9, 9, 9, 10, 15, 21, 32, 49, 9, 10, 12, 16, 20, 23, 31, 44, 9, 12, 14, 18, 25, 36, 53, 78, 10, 16, 18, 23, 31, 43, 61, 90, 15, 20, 25, 31, 40, 55, 76, 110, 21, 23, 36, 43, 55, 72, 98, 138, 32, 31, 53, 61, 76, 98, 131, 180, 49, 44, 78, 90, 110, 138, 180, 242], [8, 6, 6, 8, 12, 14, 16, 17, 6, 6, 6, 8, 10, 13, 12, 15, 6, 6, 7, 8, 13, 14, 18, 24, 8, 8, 8, 14, 13, 19, 24, 35, 12, 10, 13, 13, 20, 26, 34, 39, 14, 13, 14, 19, 26, 34, 39, 39, 16, 12, 18, 24, 34, 39, 39, 39, 17, 15, 24, 35, 39, 39, 39, 39], [1, 4, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 5, 5, 4, 3, 3, 3, 3, 3, 5, 6, 5, 3, 3, 3, 3, 4, 7, 6, 6, 3, 3, 3, 4, 5, 9, 8, 8, 3, 3, 4, 5, 6, 8, 9, 12, 4, 5, 6, 7, 8, 10, 12, 15, 6, 7, 8, 8, 9, 12, 15, 21], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [2, 2, 2, 1, 1, 2, 3, 4, 2, 2, 2, 1, 2, 3, 4, 3, 2, 2, 1, 1, 2, 3, 4, 3, 2, 1, 1, 2, 3, 5, 5, 4, 2, 1, 2, 3, 4, 7, 6, 5, 2, 2, 3, 4, 5, 6, 7, 8, 3, 4, 5, 5, 6, 7, 9, 11, 4, 6, 6, 6, 7, 8, 11, 14], [3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 2, 2, 2, 2, 2, 3, 3, 4, 2, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 4, 2, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 4, 5, 3, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 4, 5, 3, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 2, 3, 4, 5, 6, 7, 3, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 4, 4, 4, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 6, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 3, 1, 1, 1, 1, 2, 3, 3, 3, 1, 1, 1, 2, 3, 3, 4, 5, 1, 1, 2, 3, 3, 5, 6, 8, 1, 2, 2, 3, 4, 6, 9, 11, 2, 2, 3, 3, 5, 8, 11, 14], [2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 4, 5, 1, 1, 2, 3, 3, 5, 6, 8, 1, 2, 2, 3, 4, 6, 9, 11, 2, 2, 3, 3, 5, 8, 11, 14], [2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 3, 1, 1, 1, 1, 2, 3, 3, 3, 1, 1, 1, 2, 3, 3, 4, 5, 1, 1, 2, 3, 3, 5, 6, 8, 1, 2, 2, 3, 4, 6, 9, 11, 2, 2, 3, 3, 5, 8, 11, 14], [2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 3, 2, 2, 2, 1, 2, 3, 3, 3, 2, 1, 1, 2, 3, 3, 4, 5, 2, 1, 2, 3, 3, 5, 6, 8, 1, 2, 2, 3, 4, 6, 9, 11, 2, 2, 3, 3, 5, 8, 11, 14], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 3, 3, 1, 1, 1, 1, 2, 3, 3, 5, 1, 1, 1, 1, 3, 3, 5, 6, 1, 1, 1, 2, 3, 5, 6, 9], [3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 6, 7, 6, 7, 3, 3, 4, 5, 6, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 2, 2, 2, 2, 3, 4, 3, 2, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 2, 2, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 6, 7, 8, 9, 4, 4, 4, 5, 6, 9, 11, 14, 4, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [1, 3, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 4, 5, 6, 6, 3, 3, 3, 4, 5, 7, 6, 8, 3, 3, 4, 5, 6, 9, 9, 10, 3, 3, 4, 6, 7, 9, 12, 15, 4, 5, 6, 7, 9, 12, 15, 20, 6, 7, 8, 8, 10, 15, 20, 26], [2, 1, 1, 2, 2, 4, 5, 5, 1, 1, 2, 2, 3, 5, 5, 5, 2, 2, 2, 2, 4, 5, 6, 5, 2, 2, 2, 3, 5, 8, 7, 5, 2, 2, 3, 5, 6, 9, 9, 7, 2, 3, 5, 6, 7, 9, 10, 8, 4, 6, 7, 8, 9, 10, 10, 9, 6, 8, 8, 8, 10, 9, 9, 8], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 3, 3, 3, 4, 5, 5, 6, 7, 3, 3, 4, 4, 5, 7, 9, 11, 4, 4, 4, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [8, 6, 10, 8, 9, 8, 14, 31, 6, 10, 10, 8, 9, 17, 18, 16, 10, 10, 8, 9, 8, 17, 23, 16, 8, 8, 9, 7, 26, 32, 40, 19, 9, 9, 7, 16, 22, 43, 52, 39, 7, 7, 16, 32, 29, 52, 45, 34, 13, 32, 39, 32, 52, 61, 60, 51, 24, 34, 48, 37, 44, 38, 40, 39], [8, 6, 10, 8, 9, 8, 14, 31, 6, 10, 10, 8, 9, 17, 18, 16, 10, 10, 8, 9, 8, 17, 23, 16, 8, 8, 9, 7, 26, 44, 40, 19, 9, 9, 7, 28, 22, 53, 52, 39, 7, 7, 28, 32, 41, 52, 52, 46, 13, 32, 27, 32, 52, 61, 60, 51, 36, 43, 40, 44, 52, 50, 52, 50], [8, 6, 10, 16, 9, 8, 26, 31, 6, 10, 10, 16, 9, 17, 18, 16, 10, 10, 16, 9, 13, 17, 25, 16, 16, 16, 9, 13, 26, 32, 40, 19, 9, 9, 7, 28, 22, 53, 52, 39, 7, 7, 28, 32, 41, 52, 52, 46, 13, 32, 39, 32, 52, 61, 60, 51, 25, 42, 48, 44, 52, 50, 52, 50], [8, 6, 10, 8, 9, 8, 26, 31, 6, 10, 10, 8, 9, 17, 18, 28, 10, 10, 8, 9, 8, 17, 25, 16, 8, 8, 9, 7, 26, 44, 40, 31, 9, 9, 7, 28, 22, 53, 52, 39, 7, 7, 28, 32, 41, 52, 69, 46, 25, 32, 43, 53, 52, 61, 60, 51, 36, 43, 54, 59, 52, 52, 52, 42], [12, 8, 8, 12, 12, 15, 23, 20, 8, 8, 8, 11, 14, 18, 18, 20, 8, 8, 11, 13, 19, 20, 27, 36, 12, 11, 13, 19, 20, 39, 39, 50, 16, 14, 14, 26, 30, 39, 53, 59, 20, 14, 27, 30, 39, 53, 59, 59, 18, 23, 27, 39, 53, 59, 59, 59, 20, 20, 36, 50, 59, 59, 59, 59], [8, 6, 10, 8, 9, 8, 14, 19, 6, 10, 10, 8, 9, 17, 18, 16, 10, 10, 8, 9, 8, 17, 23, 16, 8, 8, 9, 7, 14, 32, 29, 19, 9, 9, 7, 16, 22, 53, 52, 27, 7, 7, 16, 32, 29, 52, 69, 46, 13, 21, 39, 32, 52, 69, 60, 39, 24, 34, 48, 37, 52, 38, 40, 38], [3, 4, 4, 4, 4, 4, 5, 6, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 3, 3, 4, 5, 6, 7, 4, 4, 3, 4, 6, 7, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 3, 3, 4, 5, 6, 7, 4, 4, 4, 4, 6, 6, 8, 9, 4, 4, 3, 5, 6, 9, 11, 14, 5, 4, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 3, 3, 4, 5, 6, 7, 4, 4, 4, 4, 6, 6, 8, 9, 4, 4, 3, 5, 6, 9, 11, 14, 4, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 2, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 6, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 3, 3, 2, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 4, 2, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [8, 6, 16, 19, 23, 24, 26, 40, 6, 18, 19, 22, 23, 40, 40, 28, 19, 19, 19, 23, 24, 40, 32, 28, 19, 21, 23, 23, 32, 56, 40, 40, 21, 23, 24, 28, 34, 48, 52, 39, 23, 24, 28, 40, 41, 52, 48, 46, 32, 40, 39, 56, 52, 53, 53, 51, 48, 46, 43, 43, 48, 43, 52, 43], [8, 6, 16, 16, 16, 20, 26, 40, 6, 16, 16, 16, 16, 40, 27, 28, 16, 16, 16, 16, 20, 40, 32, 28, 16, 16, 16, 13, 26, 56, 40, 27, 16, 13, 16, 28, 34, 48, 52, 39, 11, 16, 28, 32, 32, 52, 48, 46, 22, 32, 39, 37, 52, 53, 54, 51, 32, 46, 43, 43, 48, 43, 52, 43], [3, 4, 4, 4, 4, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 7, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 2, 2, 2, 2, 2, 3, 4, 3, 2, 2, 2, 2, 3, 4, 3, 3, 2, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 2, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 4, 4, 4, 4, 4, 3, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 4, 3, 3, 4, 6, 6, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 3, 4, 5, 4, 3, 3, 3, 4, 5, 6, 7, 4, 3, 3, 4, 6, 6, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [3, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 4, 6, 6, 8, 9, 3, 3, 3, 5, 6, 9, 11, 14, 3, 3, 4, 6, 8, 11, 14, 18, 4, 4, 5, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 5, 3, 3, 3, 4, 5, 5, 6, 7, 3, 3, 4, 5, 5, 7, 9, 11, 4, 4, 5, 4, 6, 9, 12, 14, 5, 4, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [5, 3, 8, 8, 8, 10, 8, 8, 4, 8, 8, 8, 10, 8, 9, 8, 8, 8, 8, 8, 10, 8, 9, 8, 8, 8, 8, 10, 8, 26, 24, 9, 8, 8, 10, 8, 20, 33, 31, 13, 8, 10, 8, 9, 24, 31, 34, 28, 8, 9, 23, 26, 31, 36, 36, 18, 10, 28, 29, 29, 34, 30, 31, 18], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 2, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [8, 6, 16, 16, 22, 27, 26, 31, 6, 16, 16, 16, 21, 27, 18, 28, 16, 16, 16, 21, 27, 37, 43, 16, 16, 16, 21, 27, 26, 43, 40, 31, 21, 21, 27, 28, 43, 53, 52, 39, 13, 13, 28, 32, 41, 52, 52, 46, 25, 32, 43, 32, 52, 61, 60, 51, 36, 43, 48, 44, 52, 50, 52, 50], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 2, 2, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 2, 3, 4, 5, 6, 7, 3, 2, 3, 3, 5, 7, 9, 11, 4, 3, 3, 4, 6, 9, 12, 14, 4, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 4, 3, 3, 4, 6, 9, 12, 14, 4, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 4, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [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, 4, 4, 3, 4, 5, 3, 3, 3, 4, 4, 5, 6, 7, 3, 3, 4, 4, 5, 7, 9, 11, 4, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [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, 4, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 4, 3, 3, 4, 6, 9, 12, 14, 4, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 4, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 4, 3, 3, 4, 6, 9, 12, 14, 4, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 4, 3, 3, 3, 4, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 4, 3, 3, 4, 6, 9, 12, 14, 4, 3, 4, 5, 7, 11, 14, 19], [8, 6, 16, 16, 24, 24, 16, 21, 6, 16, 16, 21, 23, 21, 21, 21, 19, 16, 16, 23, 16, 21, 23, 16, 16, 21, 23, 23, 16, 32, 29, 21, 21, 23, 21, 23, 23, 43, 40, 29, 24, 24, 21, 21, 29, 40, 45, 34, 24, 23, 29, 32, 40, 49, 48, 39, 24, 34, 37, 37, 45, 38, 40, 38], [3, 2, 10, 10, 10, 8, 8, 8, 2, 10, 10, 10, 8, 10, 8, 8, 10, 10, 10, 10, 10, 8, 8, 8, 10, 10, 8, 10, 8, 8, 8, 8, 10, 10, 8, 8, 8, 10, 10, 8, 10, 10, 8, 8, 8, 10, 13, 8, 10, 8, 8, 8, 10, 13, 13, 8, 8, 8, 8, 8, 10, 8, 10, 8], [27, 27, 27, 47, 66, 90, 113, 137, 27, 27, 27, 47, 66, 90, 113, 137, 27, 27, 47, 66, 90, 113, 137, 164, 47, 47, 66, 90, 113, 137, 164, 192, 66, 66, 90, 113, 137, 164, 192, 215, 90, 90, 113, 137, 164, 192, 215, 215, 113, 113, 137, 164, 192, 215, 215, 215, 137, 137, 164, 192, 215, 215, 215, 215], [3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 6, 5, 3, 3, 3, 4, 6, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 2, 3, 4, 5, 6, 7, 3, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 2, 2, 2, 3, 3, 4, 2, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 2, 3, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 4, 4, 3, 3, 3, 4, 4, 5, 5, 5, 3, 3, 3, 4, 5, 7, 6, 7, 3, 3, 4, 5, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 5, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 4, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 3, 4, 4, 5, 7, 9, 11, 4, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 3, 3, 3, 4, 4, 4, 4, 4, 3, 3, 3, 4, 5, 4, 4, 3, 3, 4, 5, 6, 7, 4, 4, 3, 4, 6, 7, 8, 9, 4, 3, 3, 5, 6, 9, 11, 14, 3, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 3, 3, 4, 4, 4, 4, 4, 4, 3, 3, 4, 5, 4, 4, 4, 4, 4, 5, 6, 7, 4, 4, 4, 4, 6, 7, 8, 9, 4, 4, 3, 5, 6, 9, 11, 14, 4, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 4, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 6, 5, 6, 7, 4, 4, 5, 6, 6, 7, 8, 9, 4, 4, 5, 5, 6, 9, 11, 14, 5, 4, 5, 6, 8, 11, 14, 18, 4, 6, 6, 7, 9, 14, 18, 24], [3, 4, 4, 4, 4, 4, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 4, 4, 5, 4, 4, 4, 5, 6, 5, 6, 7, 4, 4, 5, 6, 6, 7, 8, 9, 4, 4, 5, 6, 6, 9, 11, 14, 5, 5, 5, 6, 8, 11, 14, 18, 5, 6, 6, 7, 9, 14, 18, 24], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 2, 2, 2, 3, 4, 3, 3, 3, 2, 2, 2, 3, 4, 4, 3, 2, 2, 3, 3, 5, 5, 5, 3, 2, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 2, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 3, 2, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 2, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 3, 3, 4, 3, 2, 2, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 2, 2, 2, 3, 4, 3, 3, 3, 2, 2, 3, 4, 3, 3, 3, 3, 2, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 3, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 2, 3, 4, 4, 3, 3, 3, 3, 3, 5, 5, 5, 3, 3, 2, 3, 4, 7, 6, 7, 3, 3, 3, 4, 5, 7, 9, 11, 3, 4, 5, 5, 6, 9, 12, 14, 4, 6, 6, 6, 7, 11, 14, 19], [3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 3, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 2, 2, 2, 3, 4, 5, 6, 7, 2, 2, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19], [3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 3, 2, 2, 2, 3, 3, 3, 3, 3, 2, 2, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 5, 3, 3, 2, 3, 4, 5, 6, 7, 3, 3, 3, 3, 5, 7, 9, 11, 3, 3, 3, 4, 6, 9, 12, 14, 3, 3, 4, 5, 7, 11, 14, 19]]