list(adj = c(2, 7, 8, 1, 8, 9, 4, 14, 15, 3, 5, 15, 16, 4, 6, 16, 17, 5, 7, 17, 18, 1, 6, 8, 18, 19, 1, 2, 7, 9, 19, 20, 2, 8, 10, 20, 21, 9, 11, 21, 22, 10, 12, 22, 23, 11, 23, 24, 14, 25, 26, 3, 13, 15, 26, 27, 3, 4, 14, 16, 27, 28, 4, 5, 15, 17, 28, 29, 5, 6, 16, 18, 29, 30, 6, 7, 17, 19, 30, 31, 7, 8, 18, 20, 31, 32, 8, 9, 19, 21, 32, 33, 9, 10, 20, 22, 33, 34, 10, 11, 21, 23, 34, 35, 11, 12, 22, 24, 35, 36, 12, 23, 36, 37, 13, 26, 38, 13, 14, 25, 27, 38, 39, 14, 15, 26, 28, 39, 40, 15, 16, 27, 29, 40, 41, 16, 17, 28, 30, 41, 42, 17, 18, 29, 31, 42, 43, 18, 19, 30, 32, 43, 44, 19, 20, 31, 33, 44, 45, 20, 21, 32, 34, 45, 46, 21, 22, 33, 35, 46, 47, 22, 23, 34, 36, 47, 48, 23, 24, 35, 37, 48, 24, 36, 25, 26, 39, 49, 26, 27, 38, 40, 49, 50, 27, 28, 39, 41, 50, 51, 28, 29, 40, 42, 51, 52, 29, 30, 41, 43, 52, 53, 30, 31, 42, 44, 53, 54, 31, 32, 43, 45, 54, 55, 32, 33, 44, 46, 55, 56, 33, 34, 45, 47, 56, 57, 34, 35, 46, 48, 57, 58, 35, 36, 47, 58, 59, 38, 39, 50, 39, 40, 49, 51, 40, 41, 50, 52, 60, 41, 42, 51, 53, 60, 61, 42, 43, 52, 54, 61, 62, 43, 44, 53, 55, 62, 63, 44, 45, 54, 56, 63, 64, 45, 46, 55, 57, 64, 65, 46, 47, 56, 58, 65, 66, 47, 48, 57, 59, 66, 67, 48, 58, 67, 68, 51, 52, 61, 69, 70, 52, 53, 60, 62, 70, 71, 53, 54, 61, 63, 71, 72, 54, 55, 62, 64, 72, 73, 55, 56, 63, 65, 73, 74, 56, 57, 64, 66, 74, 75, 57, 58, 65, 67, 75, 76, 58, 59, 66, 68, 76, 77, 59, 67, 77, 78, 60, 70, 79, 60, 61, 69, 71, 79, 61, 62, 70, 72, 80, 62, 63, 71, 73, 80, 81, 63, 64, 72, 74, 81, 82, 64, 65, 73, 75, 82, 83, 65, 66, 74, 76, 83, 84, 66, 67, 75, 77, 84, 85, 67, 68, 76, 78, 85, 86, 68, 77, 86, 69, 70, 87, 71, 72, 81, 88, 89, 72, 73, 80, 82, 89, 90, 73, 74, 81, 83, 90, 91, 74, 75, 82, 84, 91, 92, 75, 76, 83, 85, 92, 93, 76, 77, 84, 86, 93, 94, 77, 78, 85, 94, 79, 88, 80, 87, 89, 95, 80, 81, 88, 90, 95, 96, 81, 82, 89, 91, 96, 97, 82, 83, 90, 92, 97, 98, 83, 84, 91, 93, 98, 99, 84, 85, 92, 94, 99, 100, 85, 86, 93, 100, 101, 88, 89, 96, 89, 90, 95, 97, 90, 91, 96, 98, 102, 91, 92, 97, 99, 102, 103, 92, 93, 98, 100, 103, 104, 93, 94, 99, 101, 104, 105, 94, 100, 105, 97, 98, 103, 106, 98, 99, 102, 104, 106, 107, 99, 100, 103, 105, 107, 108, 100, 101, 104, 108, 102, 103, 107, 103, 104, 106, 108, 109, 104, 105, 107, 109, 107, 108), weights = c(1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1), num = c(3, 3, 3, 4, 4, 4, 5, 6, 5, 4, 4, 3, 3, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 4, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 2, 4, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 3, 4, 5, 6, 6, 6, 6, 6, 6, 6, 4, 5, 6, 6, 6, 6, 6, 6, 6, 4, 3, 5, 5, 6, 6, 6, 6, 6, 6, 3, 3, 5, 6, 6, 6, 6, 6, 4, 2, 4, 6, 6, 6, 6, 6, 5, 3, 4, 5, 6, 6, 6, 3, 4, 6, 6, 4, 3, 5, 4, 2))