Neighbors = {\
0: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 18, 19, 20, 27, 36, 45, 54, 63, 72],\
1: [0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 18, 19, 20, 28, 37, 46, 55, 64, 73],\
2: [0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 18, 19, 20, 29, 38, 47, 56, 65, 74],\
3: [0, 1, 2, 4, 5, 6, 7, 8, 12, 13, 14, 21, 22, 23, 30, 39, 48, 57, 66, 75],\
4: [0, 1, 2, 3, 5, 6, 7, 8, 12, 13, 14, 21, 22, 23, 31, 40, 49, 58, 67, 76],\
5: [0, 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 22, 23, 32, 41, 50, 59, 68, 77],\
6: [0, 1, 2, 3, 4, 5, 7, 8, 15, 16, 17, 24, 25, 26, 33, 42, 51, 60, 69, 78],\
7: [0, 1, 2, 3, 4, 5, 6, 8, 15, 16, 17, 24, 25, 26, 34, 43, 52, 61, 70, 79],\
8: [0, 1, 2, 3, 4, 5, 6, 7, 15, 16, 17, 24, 25, 26, 35, 44, 53, 62, 71, 80],\
9: [0, 1, 2, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 27, 36, 45, 54, 63, 72],\
10: [0, 1, 2, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 28, 37, 46, 55, 64, 73],\
11: [0, 1, 2, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 29, 38, 47, 56, 65, 74],\
12: [3, 4, 5, 9, 10, 11, 13, 14, 15, 16, 17, 21, 22, 23, 30, 39, 48, 57, 66, 75],\
13: [3, 4, 5, 9, 10, 11, 12, 14, 15, 16, 17, 21, 22, 23, 31, 40, 49, 58, 67, 76],\
14: [3, 4, 5, 9, 10, 11, 12, 13, 15, 16, 17, 21, 22, 23, 32, 41, 50, 59, 68, 77],\
15: [6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17, 24, 25, 26, 33, 42, 51, 60, 69, 78],\
16: [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 24, 25, 26, 34, 43, 52, 61, 70, 79],\
17: [6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 24, 25, 26, 35, 44, 53, 62, 71, 80],\
18: [0, 1, 2, 9, 10, 11, 19, 20, 21, 22, 23, 24, 25, 26, 27, 36, 45, 54, 63, 72],\
19: [0, 1, 2, 9, 10, 11, 18, 20, 21, 22, 23, 24, 25, 26, 28, 37, 46, 55, 64, 73],\
20: [0, 1, 2, 9, 10, 11, 18, 19, 21, 22, 23, 24, 25, 26, 29, 38, 47, 56, 65, 74],\
21: [3, 4, 5, 12, 13, 14, 18, 19, 20, 22, 23, 24, 25, 26, 30, 39, 48, 57, 66, 75],\
22: [3, 4, 5, 12, 13, 14, 18, 19, 20, 21, 23, 24, 25, 26, 31, 40, 49, 58, 67, 76],\
23: [3, 4, 5, 12, 13, 14, 18, 19, 20, 21, 22, 24, 25, 26, 32, 41, 50, 59, 68, 77],\
24: [6, 7, 8, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 33, 42, 51, 60, 69, 78],\
25: [6, 7, 8, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 26, 34, 43, 52, 61, 70, 79],\
26: [6, 7, 8, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 35, 44, 53, 62, 71, 80],\
27: [0, 9, 18, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 45, 46, 47, 54, 63, 72],\
28: [1, 10, 19, 27, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 45, 46, 47, 55, 64, 73],\
29: [2, 11, 20, 27, 28, 30, 31, 32, 33, 34, 35, 36, 37, 38, 45, 46, 47, 56, 65, 74],\
30: [3, 12, 21, 27, 28, 29, 31, 32, 33, 34, 35, 39, 40, 41, 48, 49, 50, 57, 66, 75],\
31: [4, 13, 22, 27, 28, 29, 30, 32, 33, 34, 35, 39, 40, 41, 48, 49, 50, 58, 67, 76],\
32: [5, 14, 23, 27, 28, 29, 30, 31, 33, 34, 35, 39, 40, 41, 48, 49, 50, 59, 68, 77],\
33: [6, 15, 24, 27, 28, 29, 30, 31, 32, 34, 35, 42, 43, 44, 51, 52, 53, 60, 69, 78],\
34: [7, 16, 25, 27, 28, 29, 30, 31, 32, 33, 35, 42, 43, 44, 51, 52, 53, 61, 70, 79],\
35: [8, 17, 26, 27, 28, 29, 30, 31, 32, 33, 34, 42, 43, 44, 51, 52, 53, 62, 71, 80],\
36: [0, 9, 18, 27, 28, 29, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 54, 63, 72],\
37: [1, 10, 19, 27, 28, 29, 36, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 55, 64, 73],\
38: [2, 11, 20, 27, 28, 29, 36, 37, 39, 40, 41, 42, 43, 44, 45, 46, 47, 56, 65, 74],\
39: [3, 12, 21, 30, 31, 32, 36, 37, 38, 40, 41, 42, 43, 44, 48, 49, 50, 57, 66, 75],\
40: [4, 13, 22, 30, 31, 32, 36, 37, 38, 39, 41, 42, 43, 44, 48, 49, 50, 58, 67, 76],\
41: [5, 14, 23, 30, 31, 32, 36, 37, 38, 39, 40, 42, 43, 44, 48, 49, 50, 59, 68, 77],\
42: [6, 15, 24, 33, 34, 35, 36, 37, 38, 39, 40, 41, 43, 44, 51, 52, 53, 60, 69, 78],\
43: [7, 16, 25, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 44, 51, 52, 53, 61, 70, 79],\
44: [8, 17, 26, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 51, 52, 53, 62, 71, 80],\
45: [0, 9, 18, 27, 28, 29, 36, 37, 38, 46, 47, 48, 49, 50, 51, 52, 53, 54, 63, 72],\
46: [1, 10, 19, 27, 28, 29, 36, 37, 38, 45, 47, 48, 49, 50, 51, 52, 53, 55, 64, 73],\
47: [2, 11, 20, 27, 28, 29, 36, 37, 38, 45, 46, 48, 49, 50, 51, 52, 53, 56, 65, 74],\
48: [3, 12, 21, 30, 31, 32, 39, 40, 41, 45, 46, 47, 49, 50, 51, 52, 53, 57, 66, 75],\
49: [4, 13, 22, 30, 31, 32, 39, 40, 41, 45, 46, 47, 48, 50, 51, 52, 53, 58, 67, 76],\
50: [5, 14, 23, 30, 31, 32, 39, 40, 41, 45, 46, 47, 48, 49, 51, 52, 53, 59, 68, 77],\
51: [6, 15, 24, 33, 34, 35, 42, 43, 44, 45, 46, 47, 48, 49, 50, 52, 53, 60, 69, 78],\
52: [7, 16, 25, 33, 34, 35, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 53, 61, 70, 79],\
53: [8, 17, 26, 33, 34, 35, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 62, 71, 80],\
54: [0, 9, 18, 27, 36, 45, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 72, 73, 74],\
55: [1, 10, 19, 28, 37, 46, 54, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 72, 73, 74],\
56: [2, 11, 20, 29, 38, 47, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 72, 73, 74],\
57: [3, 12, 21, 30, 39, 48, 54, 55, 56, 58, 59, 60, 61, 62, 66, 67, 68, 75, 76, 77],\
58: [4, 13, 22, 31, 40, 49, 54, 55, 56, 57, 59, 60, 61, 62, 66, 67, 68, 75, 76, 77],\
59: [5, 14, 23, 32, 41, 50, 54, 55, 56, 57, 58, 60, 61, 62, 66, 67, 68, 75, 76, 77],\
60: [6, 15, 24, 33, 42, 51, 54, 55, 56, 57, 58, 59, 61, 62, 69, 70, 71, 78, 79, 80],\
61: [7, 16, 25, 34, 43, 52, 54, 55, 56, 57, 58, 59, 60, 62, 69, 70, 71, 78, 79, 80],\
62: [8, 17, 26, 35, 44, 53, 54, 55, 56, 57, 58, 59, 60, 61, 69, 70, 71, 78, 79, 80],\
63: [0, 9, 18, 27, 36, 45, 54, 55, 56, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74],\
64: [1, 10, 19, 28, 37, 46, 54, 55, 56, 63, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74],\
65: [2, 11, 20, 29, 38, 47, 54, 55, 56, 63, 64, 66, 67, 68, 69, 70, 71, 72, 73, 74],\
66: [3, 12, 21, 30, 39, 48, 57, 58, 59, 63, 64, 65, 67, 68, 69, 70, 71, 75, 76, 77],\
67: [4, 13, 22, 31, 40, 49, 57, 58, 59, 63, 64, 65, 66, 68, 69, 70, 71, 75, 76, 77],\
68: [5, 14, 23, 32, 41, 50, 57, 58, 59, 63, 64, 65, 66, 67, 69, 70, 71, 75, 76, 77],\
69: [6, 15, 24, 33, 42, 51, 60, 61, 62, 63, 64, 65, 66, 67, 68, 70, 71, 78, 79, 80],\
70: [7, 16, 25, 34, 43, 52, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 71, 78, 79, 80],\
71: [8, 17, 26, 35, 44, 53, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 78, 79, 80],\
72: [0, 9, 18, 27, 36, 45, 54, 55, 56, 63, 64, 65, 73, 74, 75, 76, 77, 78, 79, 80],\
73: [1, 10, 19, 28, 37, 46, 54, 55, 56, 63, 64, 65, 72, 74, 75, 76, 77, 78, 79, 80],\
74: [2, 11, 20, 29, 38, 47, 54, 55, 56, 63, 64, 65, 72, 73, 75, 76, 77, 78, 79, 80],\
75: [3, 12, 21, 30, 39, 48, 57, 58, 59, 66, 67, 68, 72, 73, 74, 76, 77, 78, 79, 80],\
76: [4, 13, 22, 31, 40, 49, 57, 58, 59, 66, 67, 68, 72, 73, 74, 75, 77, 78, 79, 80],\
77: [5, 14, 23, 32, 41, 50, 57, 58, 59, 66, 67, 68, 72, 73, 74, 75, 76, 78, 79, 80],\
78: [6, 15, 24, 33, 42, 51, 60, 61, 62, 69, 70, 71, 72, 73, 74, 75, 76, 77, 79, 80],\
79: [7, 16, 25, 34, 43, 52, 60, 61, 62, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 80],\
80: [8, 17, 26, 35, 44, 53, 60, 61, 62, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79]\
}