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100 100 100 97 95 92 93 94 94 90 82 70 53 36 21 12 8 9 12 15 19 24 31 35 37 38 37 36 36 35 33 27 27 32 34 35 34 37 38 39 45 54 68 82 93 99 100 99 98 92 86 77 65 50 46 44 43 44 46 49 54 59 65 74 81 83 81 76 69 60 50 39 27 15 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 5 6 9 11 13 15 16 17 17 17 17 16 16 15 15 15 15 17 19 20 22 24 26 29 33 36 40 43 46 50 53 56 58 58 57 55 50 45 41 37 34 31 29 28 27 27 26 24 23 21 19 18 19 20 20 19 17 14 12 10 9 8 9 10 13 15 17 17 15 12 9 6 3 2 2 2 1 1 1 0 0 1 1 1 1 1 1 2 2 3 3 3 3 4 5 6 8 9 10 9 8 6 4 2 1 1 1 2
99 98 93 87 82 81 82 84 88 90 90 84 68 52 36 24 19 19 23 27 34 43 51 53 53 53 49 44 39 33 28 24 26 28 31 35 40 46 49 50 49 49 55 71 81 88 90 87 82 73 64 54 45 39 38 39 40 42 40 39 39 44 51 64 69 69 66 59 50 41 31 22 13 7 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 7 9 12 14 15 17 18 18 17 16 15 15 14 12 11 10 10 10 10 11 11 12 14 16 18 21 23 27 30 34 36 38 39 39 38 37 35 33 30 28 26 25 25 25 25 24 23 22 19 17 18 19 19 18 17 14 13 11 10 9 9 10 12 14 17 18 17 14 11 9 6 5 4 4 3 2 2 2 2 3 4 5 5 5 5 4 3 2 2 2 2 2 1 2 5 7 8 8 8 7 5 2 0 0 0 0
93 88 77 69 63 62 65 70 79 88 95 92 83 72 59 46 37 33 33 38 44 52 57 61 59 55 49 43 38 32 27 25 27 31 36 43 54 63 70 68 62 51 52 58 62 63 63 59 53 45 39 34 31 31 30 32 33 33 31 30 28 29 37 46 46 45 42 37 31 23 16 9 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 7 9 11 13 15 16 16 16 16 15 15 14 14 13 12 12 11 10 10 10 9 9 10 10 11 11 13 14 16 17 19 20 20 20 21 20 19 18 17 16 16 15 16 16 15 14 14 14 14 14 14 13 13 12 11 10 8 9 9 9 9 10 11 11 10 10 8 7 6 6 5 4 3 2 2 2 3 5 5 6 7 7 6 5 4 3 2 2 1 1 2 4 7 8 8 8 7 5 1 0 0 0 0
83 73 60 52 47 45 54 64 75 87 96 97 94 89 80 68 55 46 40 37 39 43 46 48 47 43 38 32 31 29 27 28 31 36 44 54 67 80 88 85 75 62 53 44 38 35 34 33 29 25 24 26 28 30 30 30 30 30 29 29 29 29 29 27 24 23 22 21 17 13 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 6 7 9 10 11 12 12 12 12 12 12 11 11 11 10 9 9 8 7 6 5 4 4 4 4 5 6 6 7 7 8 7 7 6 6 6 6 6 7 8 8 8 9 9 10 10 10 9 10 9 9 9 8 8 7 5 5 5 5 5 5 5 5 5 5 5 4 2 2 2 2 2 4 4 5 5 5 5 5 4 3 3 2 1 1 1 2 4 4 3 4 3 2 0 0 0 0 0
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49 36 31 29 30 38 45 49 53 59 70 79 87 93 97 99 91 82 71 63 58 56 50 44 43 44 46 47 49 49 45 47 57 67 73 77 79 81 77 72 66 60 56 54 53 55 60 64 68 73 78 82 83 77 70 62 56 52 47 41 36 29 24 18 13 7 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 3 3 3 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 2 3 4 5 6 6 6 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
36 34 32 30 30 35 47 53 55 54 54 56 64 75 85 92 97 91 83 76 73 71 63 59 59 65 69 69 69 68 66 67 71 78 84 86 83 81 79 76 74 72 75 78 79 83 86 89 91 94 96 98 99 96 90 83 76 69 62 52 42 33 24 17 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1 2 2 1 1 0 1 1 1 1 1 1 1 1 1 1 1 2 2 2 3 3 3 3 3 2 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 2 2 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
nan nan nan 40 43 49 61 65 68 67 64 59 58 64 72 83 91 95 90 84 78 74 71 69 71 75 81 85 89 91 90 87 86 87 89 89 89 91 92 93 93 95 96 96 97 97 98 99 100 100 100 100 98 96 93 86 78 71 65 58 48 37 26 19 14 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 3 4 4 4 3 3 2 3 4 6 7 8 7 6 5 4 3 3 3 3 3 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
nan nan nan nan nan nan nan nan nan nan 77 73 66 63 65 72 83 90 91 85 79 74 72 72 76 80 86 92 96 100 100 99 98 96 94 92 93 97 99 100 100 100 100 100 100 100 100 100 100 98 97 95 90 84 77 70 64 58 52 46 41 35 27 21 15 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 3 2 2 2 4 5 7 8 9 9 8 6 5 4 4 4 4 4 4 4 3 2 2 1 1 2 2 3 3 3 3 3 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 87 90 89 84 77 71 68 67 71 75 78 84 90 94 98 100 100 100 99 100 100 100 100 100 100 100 100 100 100 100 100 99 98 95 89 83 73 62 50 42 36 31 27 24 24 21 17 13 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 3 4 6 7 8 8 7 6 5 4 4 4 5 5 5 4 4 3 2 2 3 4 4 5 5 5 6 6 6 5 4 4 4 4 4 4 3 3 2 1 0 0 0 0 0 0 0
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 64 63 58 56 58 63 70 77 84 91 94 96 97 98 99 100 100 100 100 100 100 100 100 100 100 99 97 91 84 75 64 53 42 35 29 25 26 28 24 21 17 13 9 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 3 3 3 3 2 2 2 2 3 4 4 5 6 6 7 8 8 8 9 9 10 10 9 8 7 6 5 4 3 2 1 1 0 0 0
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 69 73 77 80 83 84 89 94 99 100 100 100 100 100 100 100 100 100 99 96 93 87 80 71 62 57 50 44 37 32 28 24 19 15 12 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 3 3 4 5 6 6 7 8 9 10 11 10 10 9 8 7 5 3 2 1 1 0 0 0
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 92 99 100 100 100 100 100 100 100 100 100 100 100 100 99 96 90 86 82 72 60 48 39 31 23 16 12 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 5 6 7 7 7 7 6 5 4 3 2 1 1 0 0 0
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 100 100 100 100 100 100 100 99 98 93 87 80 68 54 42 30 20 12 7 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 1 1 1 1 1 0 0 0 0
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 98 95 92 87 79 62 47 34 23 13 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 25 14 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 4 6 9 11 12 13 12 10 8 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 10 13 15 17 18 18 18 15 12 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 9 13 16 20 26 32 36 40 43 46 46 44 40 35 28 22 15 9 5 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 12 18 24 28 32 35 35 34 30 26 22 18 13 9 8 7 7 7 7 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0
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