Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 8 8 9 9 7 6 8 10 10 10 9 8 7 7 8 7 7 7 7 7 7 8 9 10 10 8 8 8 9 9 8 7 8 9 9 9 11 12 10 8 6 7 8 8 8 7 7 8 9 10 9 10 11 11 10 9 7 6 5 6 6 7 9 7 7 8 8 7 8 8 8 9 8 7 8 9 9 9 8 8 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 7 7 6 6 6 7 8 9 8 9 10 10 10 10 10 10 9 8 8 7 6 6 7 7 7 8 8 8 9 9 7 6 7 8 9 10 9 10 10 10 10 10 10 10 10 9 10 9 9 9 9 8 10 12 13 12 10 10 10 10 9 8 9 9 9 10 12 nan
nan 8 9 9 9 8 9 7 6 7 9 11 13 12 10 9 8 9 8 6 6 6 8 8 9 10 10 9 8 7 7 8 7 8 8 8 9 9 9 11 12 11 8 8 7 6 7 7 8 8 8 8 8 9 10 11 11 9 9 8 7 7 7 7 7 7 7 8 9 9 7 6 7 7 8 9 8 8 8 8 8 8 9 10 10 9 8 7 7 8 9 10 10 9 9 9 9 8 9 10 9 7 6 6 6 7 8 9 9 8 9 9 9 9 8 8 7 6 6 6 6 6 7 8 9 10 10 9 7 5 7 9 8 8 9 9 9 9 9 10 10 10 9 8 9 9 10 10 9 9 10 10 10 9 9 9 9 10 11 9 8 9 9 10 10 nan
nan 8 9 9 8 8 8 8 6 6 8 11 13 14 12 11 10 9 9 7 5 6 7 9 9 10 11 9 7 7 7 7 7 8 9 8 8 8 8 10 11 11 9 8 7 7 6 7 8 9 9 8 8 9 10 11 11 9 8 8 8 8 8 8 7 7 7 8 9 9 7 6 5 5 8 10 9 8 7 6 6 6 7 9 10 10 9 7 6 7 9 10 10 10 9 9 9 9 9 10 11 9 8 7 7 7 8 8 8 7 7 9 8 8 8 8 8 7 6 6 6 6 8 9 10 12 11 9 6 6 8 7 6 6 7 8 9 10 10 11 11 10 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 8 8 7 9 nan
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nan 11 10 10 10 9 8 7 8 7 6 7 7 8 8 8 8 7 7 8 8 8 8 8 7 7 8 9 10 10 10 10 11 11 12 14 15 16 15 14 14 13 13 12 11 10 9 10 9 9 8 8 8 9 9 9 8 8 9 10 10 10 10 11 11 11 12 13 13 13 13 13 12 12 11 11 11 11 10 10 11 11 11 11 11 11 12 12 12 11 12 12 13 14 13 11 11 10 9 8 7 7 8 8 9 10 11 11 11 11 11 12 13 12 12 12 12 11 11 11 11 12 12 12 12 11 11 10 9 10 10 10 10 9 9 10 11 11 10 10 10 10 10 9 9 10 10 11 11 11 11 11 10 10 11 11 11 11 10 10 11 10 11 11 10 nan
nan 10 12 10 9 8 8 7 7 7 8 7 7 8 7 7 8 8 8 8 8 9 9 9 9 9 10 11 12 13 13 13 14 14 14 15 16 16 15 13 13 12 11 11 11 9 8 8 8 7 8 8 8 8 9 9 9 9 11 11 11 11 11 10 10 11 12 13 14 14 14 14 13 11 11 10 10 10 10 11 11 10 10 10 10 11 11 12 12 12 12 12 13 13 13 12 10 9 8 8 7 8 10 10 9 10 10 10 11 11 11 12 13 12 12 12 12 12 11 11 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 11 11 12 11 11 10 9 11 12 12 11 11 nan
nan 10 11 12 11 11 10 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 12 13 14 14 14 13 13 12 12 12 12 12 11 11 10 9 9 8 8 7 7 7 8 9 9 9 9 9 10 10 11 12 12 11 10 9 9 11 12 12 14 14 14 13 13 12 10 10 10 10 9 10 10 10 10 10 10 10 10 11 12 12 12 12 13 12 12 11 9 8 7 7 8 9 10 12 12 11 10 10 10 11 11 11 12 12 12 12 12 12 12 13 13 13 14 14 13 11 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 10 11 11 11 11 11 11 12 11 11 11 11 10 11 12 12 12 12 nan
nan 10 10 10 11 12 14 13 11 10 9 9 8 8 9 8 9 9 8 9 9 10 11 11 11 11 12 12 11 12 12 12 12 11 11 10 10 9 9 9 9 8 8 8 7 8 8 8 8 8 8 8 9 10 10 10 10 11 11 11 11 11 10 9 10 10 11 12 13 13 13 11 11 11 10 9 9 9 10 10 10 10 10 10 11 11 10 10 11 11 11 12 12 12 11 10 9 7 7 7 8 9 10 11 12 12 12 9 9 10 10 11 11 12 12 12 12 14 16 16 15 16 19 20 16 13 11 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 11 10 10 11 11 11 11 11 11 11 11 12 11 11 11 12 13 nan
nan 9 9 10 10 11 13 15 14 11 10 10 10 10 9 10 10 9 9 8 9 11 11 11 12 11 11 11 12 11 10 10 11 10 10 9 9 9 8 8 8 8 7 8 8 8 8 9 9 9 9 9 9 10 10 11 10 11 11 11 11 11 10 10 10 11 11 11 12 12 11 11 10 10 10 10 10 9 10 10 10 11 11 11 11 11 11 11 11 10 10 11 11 11 10 9 8 8 7 7 8 8 10 11 12 13 11 10 9 10 10 11 12 12 12 14 17 20 22 22 19 16 19 23 19 13 11 11 11 11 12 12 11 11 10 10 11 10 10 10 9 9 9 8 9 9 9 10 10 10 10 11 11 11 11 11 11 11 12 12 12 11 11 11 11 nan
nan 8 8 9 10 11 12 14 13 13 13 12 11 11 10 10 10 9 8 9 10 11 11 11 11 12 11 11 11 11 10 10 10 10 9 9 9 9 9 8 9 9 9 9 10 10 9 10 10 10 10 10 10 11 12 12 11 11 11 11 12 12 11 10 11 11 11 11 11 11 11 11 11 11 10 11 11 10 10 10 10 10 11 11 12 11 11 12 12 11 10 10 10 10 10 10 9 9 8 8 8 9 9 11 12 12 11 10 10 10 10 10 10 10 12 16 19 22 24 24 19 14 15 19 21 18 14 12 12 12 13 13 13 11 11 11 11 10 10 9 8 8 8 7 9 10 11 11 10 10 11 11 12 11 11 10 10 11 11 11 11 11 11 11 11 nan
nan 8 8 9 9 10 11 11 11 11 12 13 12 12 12 11 10 9 10 11 11 11 11 11 11 11 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 12 11 10 11 11 11 10 11 11 12 12 12 12 12 11 10 10 10 11 10 10 10 9 8 9 9 11 12 13 13 12 10 10 10 10 11 11 12 14 17 18 15 13 13 12 9 10 13 17 21 20 14 12 14 15 15 13 11 11 11 10 11 11 10 9 9 8 9 10 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 12 11 11 11 10 nan
nan 9 9 9 9 10 12 11 11 10 10 11 11 12 12 11 10 10 11 11 12 12 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 11 12 13 13 13 13 12 12 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 12 12 12 12 11 11 11 10 11 12 11 12 12 12 12 12 12 11 11 11 11 11 10 9 9 8 8 9 11 12 12 13 12 12 11 11 12 13 15 18 19 18 16 11 8 6 6 6 7 8 11 16 18 15 12 14 16 15 13 11 11 10 10 11 10 9 9 9 9 10 10 11 11 10 10 11 11 11 11 11 11 11 11 12 12 12 12 11 10 11 10 nan
nan 11 10 10 11 12 13 12 12 11 11 12 11 11 11 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 9 9 10 10 9 9 9 9 10 11 12 13 12 12 12 11 11 11 11 11 12 11 11 11 11 11 11 11 10 11 10 11 11 11 11 10 10 10 11 12 12 12 12 12 12 11 10 10 11 11 12 12 12 11 12 12 11 11 11 11 11 11 11 10 9 9 8 8 9 10 11 12 13 13 13 12 13 14 17 21 24 22 19 15 12 10 8 7 6 6 6 7 10 10 10 10 10 13 14 11 11 10 10 10 10 10 9 8 9 10 11 11 11 10 10 11 11 11 11 12 12 11 11 11 11 12 13 12 11 10 11 11 nan
nan 11 11 11 11 12 12 13 13 12 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 10 11 10 11 11 10 10 10 10 10 10 10 11 10 10 10 10 11 13 12 12 12 11 11 11 11 11 11 11 11 12 11 11 11 11 10 10 9 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 11 12 12 12 12 12 12 12 11 11 12 11 11 11 11 11 11 10 9 8 8 8 9 10 10 11 12 13 13 14 16 19 23 26 25 23 18 12 10 9 9 9 9 7 6 4 3 4 6 8 8 9 11 12 11 12 11 11 11 10 10 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 11 12 12 12 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
2 8 13 14 12 9 7 5 5 6 6 3 1 1 3 4 6 9 17 27 37 50 66 81 91 91 90 94 95 92 87 80 74 67 58 48 41 42 48 54 42 26 12 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 1 3 4 5 4 4 4 5 8 11 13 12 11 10 11 12 13 15 14 11 7 4 3 5 10 18 26 36 46 56 61 66 75 88 101 109 108 100 92 87 81 73 65 65 72 83 96 105 114 132 119 92 71 62 63 69 76 79 78 74 71 72 77 84 86 80 87 92 90 86 80 78 78 80 81 82 83 83 80 74 69 65 63 62 63 65 67 67 64
0 4 10 15 16 13 7 3 2 2 2 1 0 0 1 2 4 6 12 24 33 44 57 71 82 84 88 92 92 89 85 79 71 59 48 40 38 39 42 46 33 15 4 0 0 0 0 0 0 0 0 0 0 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 3 3 4 5 7 10 12 14 14 12 10 11 14 18 19 19 17 14 11 9 10 16 22 29 38 47 55 57 62 68 74 80 85 89 91 91 90 86 80 75 73 77 88 106 118 124 137 130 113 91 64 58 61 65 70 73 74 70 70 76 87 95 89 87 91 93 90 84 80 81 80 81 84 86 85 80 74 69 64 61 58 57 60 64 66 66
0 2 6 13 17 15 6 1 0 0 0 0 0 0 0 2 5 6 10 23 32 42 52 63 74 79 87 91 88 84 80 74 64 52 42 36 33 34 37 38 25 9 0 0 0 0 0 0 0 0 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 2 2 2 3 5 8 12 14 14 14 11 8 8 10 14 17 18 19 17 14 11 11 13 18 26 36 47 55 58 62 64 64 64 64 66 69 73 77 77 73 71 70 74 83 104 120 127 132 131 123 101 72 60 56 56 59 64 69 70 69 72 82 92 88 84 88 94 96 93 90 86 82 82 85 87 85 81 76 71 67 64 61 60 61 64 67 68
0 0 2 9 14 14 7 1 0 0 0 0 0 0 1 4 9 12 14 21 31 40 49 59 69 77 84 86 82 76 71 66 56 47 40 33 28 26 29 28 18 6 0 0 0 0 0 0 0 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 3 3 2 2 3 3 4 8 11 13 14 12 9 7 6 6 8 13 15 17 17 15 10 8 8 9 14 22 33 46 55 60 61 59 55 54 55 55 55 58 64 68 66 66 67 71 81 101 122 133 136 134 127 111 88 71 60 54 52 56 63 67 67 68 75 86 80 77 81 88 92 94 92 88 84 84 87 88 85 80 75 71 67 66 64 64 65 67 69 70
0 0 0 5 9 10 6 1 0 0 0 0 2 3 5 8 12 16 18 22 29 37 47 57 68 76 81 80 74 67 61 56 49 42 34 27 21 18 18 18 10 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 1 3 4 4 4 3 2 2 3 6 9 13 15 15 13 7 4 4 5 7 11 12 15 15 12 7 7 9 13 18 26 36 47 57 65 65 57 47 50 51 51 51 53 59 65 67 69 73 79 91 106 123 135 143 141 129 113 97 83 71 63 61 60 62 64 65 62 61 79 77 73 72 74 77 80 82 82 84 88 94 95 89 81 75 72 68 67 68 68 68 67 68 66
0 0 0 4 7 7 5 2 1 0 1 2 5 8 10 12 16 20 22 24 28 34 42 52 64 74 78 73 66 59 52 47 40 34 27 21 14 8 8 9 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 2 3 4 3 1 1 1 2 4 8 11 15 19 20 15 11 9 7 9 10 11 14 16 13 9 11 16 21 28 36 45 52 64 76 79 69 57 54 54 54 54 54 58 65 70 75 82 94 110 118 124 133 144 143 128 113 102 94 87 80 79 75 70 67 68 65 62 70 73 72 68 63 64 68 72 77 83 89 97 98 93 85 80 78 80 81 80 76 73 70 67 64
0 0 1 4 6 7 6 3 2 2 3 5 8 11 13 17 22 24 24 24 27 30 34 42 54 67 72 67 60 53 45 39 34 28 22 15 8 4 4 5 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 2 4 4 3 1 0 0 2 4 7 11 16 24 29 29 25 20 16 15 13 12 14 16 14 14 20 27 33 39 48 55 64 76 89 94 87 75 68 65 66 65 64 66 72 80 88 100 118 129 129 129 134 142 139 128 122 117 115 117 106 101 96 90 83 83 83 80 74 70 67 63 60 62 66 72 78 82 88 92 94 93 89 86 89 95 97 95 88 84 79 75 71
0 0 1 3 6 7 7 4 4 6 7 9 10 13 15 20 24 26 25 23 23 23 26 31 40 56 65 61 55 50 42 34 30 24 17 11 6 3 4 4 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 2 5 6 5 4 1 0 2 4 8 13 20 28 35 38 37 33 28 23 17 13 12 14 15 20 28 37 45 53 59 64 72 83 96 103 98 88 80 78 79 80 80 82 88 97 108 121 135 138 136 136 138 137 131 129 135 141 139 143 131 123 118 114 109 106 102 96 89 81 70 64 65 69 74 76 77 82 84 84 85 89 88 88 94 100 103 101 98 94 88 82 77
0 0 1 2 4 5 6 4 5 7 9 10 11 12 13 17 22 24 23 19 16 16 18 23 28 42 54 56 53 48 40 31 26 19 13 7 4 3 3 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 3 6 7 8 7 4 2 2 4 8 14 22 29 35 38 39 38 32 26 19 13 12 14 18 24 33 43 53 62 66 66 67 75 89 98 92 84 79 80 83 87 90 95 102 113 125 135 140 142 142 143 141 133 130 132 139 147 146 147 142 136 133 132 126 123 116 107 97 88 78 71 72 78 84 83 76 76 74 71 69 74 79 84 90 96 99 99 98 95 90 85 80
0 0 0 1 2 3 4 3 3 6 9 11 11 10 11 13 16 18 17 13 10 8 9 13 18 29 43 50 51 47 39 28 21 14 8 4 2 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 0 2 5 7 9 10 11 9 6 3 2 4 9 15 20 25 29 31 32 27 22 18 15 15 19 22 28 35 43 50 56 60 59 59 62 75 84 79 73 68 68 73 82 89 98 110 127 138 145 146 144 140 135 124 115 112 118 129 140 141 140 139 139 140 139 136 131 122 110 101 95 85 78 75 77 86 92 85 78 68 58 51 56 63 70 78 88 94 96 97 95 93 91 88
0 0 0 0 0 1 2 1 1 4 7 10 9 7 7 8 9 10 9 7 5 4 4 5 9 18 33 45 49 46 38 24 14 8 4 1 0 0 0 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 3 7 10 12 13 13 11 8 4 1 1 2 5 8 10 13 17 20 20 18 15 14 16 19 23 29 36 42 46 48 50 51 53 57 70 76 74 70 66 64 68 75 79 84 97 124 137 138 132 123 112 99 89 84 86 95 109 123 129 133 133 131 136 134 131 126 118 108 102 98 88 79 74 75 83 89 90 84 73 59 52 54 62 71 81 88 93 97 102 106 108 108 108
0 0 0 0 0 0 0 0 1 2 4 7 7 6 4 3 3 3 3 2 2 1 1 2 4 10 25 38 46 46 35 18 8 4 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 3 9 14 16 15 13 11 7 3 0 0 0 1 1 2 3 6 9 11 12 12 13 15 18 24 32 39 44 44 44 47 52 58 64 72 77 77 74 74 76 80 80 77 75 82 98 107 105 97 86 75 66 63 66 72 78 88 106 115 119 120 119 125 124 118 111 105 104 100 98 90 80 75 77 84 91 94 95 93 88 80 80 86 96 105 102 98 96 101 112 122 125 126
0 0 0 0 0 0 0 0 0 1 2 3 4 3 1 0 0 0 0 0 0 0 0 0 1 5 18 32 41 41 30 14 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 1 6 13 16 13 11 8 5 2 0 0 0 0 0 0 0 1 3 5 9 14 16 17 19 26 35 43 47 47 48 52 61 69 72 73 72 71 71 74 77 79 79 78 78 83 85 80 74 67 63 63 62 62 64 67 69 77 93 105 109 107 106 108 110 111 106 90 92 94 96 94 86 79 80 84 89 94 100 107 112 114 119 127 132 126 111 97 90 91 99 117 128 132
0 0 0 0 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 3 12 24 32 34 25 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 7 6 6 5 3 1 0 0 0 0 0 0 0 0 1 5 12 20 22 23 24 28 36 46 53 56 59 64 71 70 66 59 54 52 55 59 60 60 60 62 70 74 70 64 57 54 55 60 62 63 63 63 65 73 85 96 101 94 94 92 94 99 103 97 91 91 94 98 98 92 86 87 94 99 104 108 116 127 140 153 151 137 114 96 90 86 90 106 122 130
0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 16 24 28 21 10 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 1 1 1 0 0 0 0 0 0 0 0 2 3 8 16 24 29 33 36 43 52 63 67 68 68 66 60 52 45 39 36 36 39 43 45 45 46 47 55 59 56 51 46 45 48 52 55 58 61 63 65 70 78 88 95 89 86 85 88 94 102 103 98 96 96 96 98 94 92 95 104 110 109 107 110 118 131 146 140 132 118 101 94 87 90 104 121 129
0 0 0 0 1 2 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 19 24 17 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 0 0 0 0 0 0 1 0 0 1 2 5 9 18 29 39 48 57 67 76 77 73 70 67 59 45 33 26 22 22 24 28 32 35 36 38 42 47 50 50 47 43 39 38 40 43 49 55 62 65 70 77 86 89 91 93 95 98 102 104 106 106 105 102 98 96 96 97 102 110 111 106 102 100 99 104 118 119 114 106 92 82 79 86 103 121 123
0 0 0 0 1 2 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 14 20 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 2 1 2 6 12 22 36 51 66 78 86 85 77 68 59 50 40 27 18 14 13 14 16 18 20 21 21 20 25 33 39 43 42 37 32 29 28 31 39 52 61 66 70 77 88 92 97 99 101 105 108 105 104 104 102 99 97 94 92 92 95 94 92 89 88 90 87 89 95 99 98 92 80 69 66 72 87 97 99
0 0 0 0 1 2 4 4 3 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 4 10 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 0 0 0 0 0 0 2 4 6 4 2 4 10 21 38 56 76 92 98 92 82 69 54 40 30 22 15 11 10 10 10 9 8 8 7 6 6 9 16 24 31 35 32 28 23 20 22 32 47 58 66 69 73 78 82 86 90 95 97 97 96 93 89 85 82 79 74 70 69 66 66 66 68 70 74 77 81 88 96 98 90 80 72 69 71 77 78 73
0 0 0 0 1 2 4 4 3 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 2 6 8 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 1 3 5 4 5 9 21 45 70 93 110 116 105 86 74 62 49 34 23 15 10 8 8 7 6 4 2 2 1 0 1 4 9 16 22 27 27 24 20 17 19 28 40 50 57 61 63 64 67 72 76 80 80 81 87 90 73 66 60 54 49 48 48 47 47 50 54 60 67 72 80 91 104 107 98 88 82 82 86 83 75 64
0 0 0 0 1 2 3 3 3 4 4 5 5 4 4 4 3 3 3 2 0 0 0 0 0 0 0 1 2 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 3 5 9 20 42 75 104 124 131 123 96 76 66 59 51 40 27 17 9 5 4 3 3 2 0 0 0 0 0 2 7 13 16 20 22 20 17 14 16 21 28 35 42 48 49 50 53 58 63 68 71 80 94 95 62 53 47 42 41 43 43 42 42 45 52 61 71 81 91 100 112 113 105 97 96 99 97 88 76 61
0 0 0 0 1 2 2 3 4 5 6 7 8 6 6 5 4 4 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 4 8 15 27 53 91 120 136 136 122 92 70 60 56 54 51 41 29 17 8 3 2 3 2 2 1 0 0 0 2 5 8 11 14 15 14 11 8 8 11 15 21 26 34 38 41 44 51 60 62 63 70 79 69 50 44 40 38 41 47 48 49 51 53 60 70 82 93 103 110 117 117 111 108 112 110 104 99 91 68
0 0 0 0 1 1 2 3 4 5 7 9 10 9 8 7 6 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 6 12 20 31 52 85 111 123 119 105 80 61 52 52 57 64 64 55 41 29 20 16 12 9 7 5 3 2 2 2 3 4 5 6 7 7 5 2 1 3 5 9 16 24 32 38 42 49 53 53 50 47 47 41 39 40 42 44 50 56 59 62 66 66 70 78 90 102 112 117 119 115 112 115 116 108 108 113 111 80
0 0 0 0 1 2 3 4 5 6 8 10 11 11 11 10 8 7 5 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 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 2 6 13 22 33 47 66 81 88 87 78 62 48 39 40 50 65 75 79 76 66 55 44 35 26 19 13 10 8 6 6 5 4 2 1 1 1 1 0 0 0 1 4 9 17 26 35 37 37 35 36 38 38 37 37 40 45 52 57 64 68 72 79 86 86 89 93 98 102 108 114 113 110 109 113 107 97 92 93 92 71
0 0 0 1 2 3 4 6 6 7 8 10 11 12 14 14 14 12 9 8 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 8 9 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 3 10 23 36 46 54 61 66 70 65 53 38 27 26 41 62 81 94 100 91 76 62 51 42 33 25 20 16 14 12 9 6 3 1 0 0 0 0 0 0 0 1 5 12 21 30 30 30 32 36 41 44 42 45 53 63 69 74 79 82 86 96 104 109 115 116 108 106 110 111 110 107 105 106 98 85 76 76 65 49
0 1 2 3 4 5 7 8 8 9 9 10 10 12 16 20 21 19 15 12 9 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 9 15 18 15 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 24 37 47 57 65 73 74 68 56 43 32 29 49 73 95 107 105 87 68 55 47 41 38 33 29 26 24 21 17 13 8 4 1 0 0 0 0 0 0 1 4 10 20 31 38 42 43 44 50 59 57 62 74 85 89 89 90 92 100 113 113 118 124 122 110 110 112 111 107 103 97 93 83 68 57 52 41 31
0 3 5 6 7 8 9 10 10 10 10 10 10 13 20 27 29 24 18 12 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 15 19 23 25 22 11 2 0 0 0 0 0 0 0 0 0 0 0 0 1 5 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 1 5 13 24 34 45 58 72 82 80 72 62 53 49 56 78 104 122 123 105 74 53 42 40 37 34 34 36 36 36 34 30 25 19 11 6 3 2 2 1 1 0 1 5 12 26 40 51 59 63 63 66 69 70 77 93 110 111 106 103 104 110 112 111 113 117 114 109 104 103 100 91 87 80 71 61 51 42 31 22 18
1 4 7 9 9 10 10 11 12 12 12 12 12 18 31 38 35 26 16 11 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 18 29 31 31 30 24 13 4 1 0 0 0 0 0 0 0 0 0 0 0 2 7 14 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 15 21 28 39 53 66 71 70 67 64 59 55 64 87 119 145 140 110 74 53 46 43 40 40 40 42 44 48 50 49 46 39 28 20 15 12 11 10 10 9 9 11 17 30 45 57 66 75 80 78 74 72 82 105 119 119 117 115 108 105 104 106 106 101 94 90 87 84 78 67 61 54 47 39 33 28 20 15 12
1 3 7 9 11 12 12 12 13 13 14 15 18 30 43 46 37 24 15 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 28 36 39 38 33 24 12 3 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 17 21 28 40 52 60 62 62 62 59 52 40 38 53 90 140 136 107 79 60 51 45 42 40 41 42 45 52 59 65 67 63 56 49 43 38 35 32 33 32 31 29 29 35 44 54 66 80 87 87 82 80 92 115 128 129 122 112 96 86 82 82 83 76 70 66 64 60 52 44 39 33 27 22 19 15 11 8 6
1 3 6 9 11 12 14 14 15 15 17 21 28 42 51 49 37 23 16 11 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 7 16 25 35 41 42 36 24 8 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 4 11 19 24 31 41 54 64 66 65 62 55 44 31 19 14 26 60 110 109 88 64 47 38 35 34 33 33 34 38 47 56 62 66 69 69 66 64 62 59 56 59 62 65 67 62 61 64 71 80 91 98 101 102 103 114 122 122 115 102 85 68 57 51 48 46 44 42 40 38 37 32 27 24 19 14 11 8 6 6 7 4
1 3 6 8 11 13 14 15 16 18 22 27 35 48 54 50 38 26 19 14 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 3 8 16 22 29 36 39 33 20 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 2 6 16 28 37 43 51 63 77 85 80 71 58 41 23 10 5 6 21 54 87 81 61 38 24 19 20 22 24 26 28 33 42 49 54 56 56 58 59 59 56 56 57 62 70 81 94 102 105 105 105 111 116 116 115 114 115 119 108 92 75 58 44 34 28 23 20 19 18 17 17 17 16 14 12 10 8 6 4 3 3 3 4 1
3 4 6 8 10 12 14 15 17 20 23 28 35 45 50 45 34 26 19 13 7 2 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 15 21 26 31 31 25 13 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 1 8 20 37 53 62 68 75 85 96 100 89 71 48 27 10 3 3 11 31 64 81 64 38 19 13 12 14 17 19 22 25 31 38 44 49 50 49 47 46 47 47 48 52 56 60 66 84 106 120 125 124 124 123 116 105 93 82 69 54 40 30 20 14 9 6 5 4 2 2 2 4 3 3 2 1 0 1 1 0 1 2 2 2 1
5 6 8 9 11 12 14 15 17 19 21 25 34 44 43 34 22 16 12 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 13 18 25 27 23 16 8 2 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 2 7 19 35 55 73 85 92 97 104 113 109 93 68 42 20 9 7 13 30 55 80 73 48 23 12 9 10 12 14 17 20 23 29 36 44 49 48 45 42 39 38 39 42 45 46 46 48 57 71 86 94 95 90 82 70 57 43 30 19 10 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0
7 8 9 10 11 12 13 14 15 16 19 26 38 44 36 23 13 8 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 8 11 16 22 23 19 14 7 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 2 7 16 30 48 69 90 106 116 120 124 130 121 101 73 46 26 22 26 41 62 83 86 66 40 21 11 7 7 9 13 17 20 25 32 40 49 53 50 45 40 36 33 32 34 36 37 40 43 45 47 48 48 44 36 28 19 7 1 0 1 1 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
8 9 10 10 10 11 12 12 13 15 21 33 41 35 24 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 8 13 19 22 22 16 8 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 1 5 15 26 40 62 87 106 124 137 144 145 144 136 117 92 67 54 57 70 85 95 92 76 55 34 18 9 6 6 10 16 20 25 32 40 49 58 56 51 45 38 32 28 24 26 33 35 38 41 41 37 31 22 13 7 4 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 1 2 2 2 1
7 8 9 9 9 9 10 10 12 17 26 34 30 20 11 5 2 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 14 18 18 14 6 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 2 9 21 33 51 77 108 127 144 156 161 157 150 142 131 116 100 95 100 108 110 100 82 65 46 26 12 6 5 8 14 21 27 33 40 48 57 62 58 51 42 33 27 24 22 24 33 45 52 52 46 35 26 16 8 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 1 3 5 7 9 10 9
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