Vorticity
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nan 6 7 7 8 10 12 10 7 5 5 6 6 6 7 7 7 7 7 7 7 7 8 8 7 6 6 7 8 8 8 7 6 6 7 8 8 7 7 6 7 7 7 7 7 7 7 7 7 6 7 7 7 8 8 8 8 8 8 8 9 10 10 10 10 10 11 11 11 9 7 8 8 8 8 8 7 8 8 8 7 6 4 3 3 2 3 4 4 5 6 7 7 7 8 9 8 7 6 6 7 7 7 7 7 6 6 6 6 6 7 8 9 10 10 11 12 12 12 12 12 12 11 11 11 10 9 9 8 8 8 7 7 6 nan
nan 6 6 7 8 10 11 10 6 4 4 5 6 7 7 7 7 7 7 8 7 7 7 8 8 7 7 7 7 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 9 9 8 8 9 10 11 10 10 9 9 9 9 8 9 9 10 10 9 8 6 5 4 3 3 3 3 3 4 5 6 6 8 9 10 9 8 7 8 9 9 9 8 7 5 5 5 5 5 6 7 8 8 9 10 11 11 11 11 12 12 12 12 11 11 10 10 9 9 9 8 8 7 nan
nan 6 6 7 7 9 9 8 6 4 4 5 6 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 8 7 7 7 7 7 7 7 6 5 5 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 10 9 8 8 9 10 10 10 9 7 6 5 5 5 4 4 5 5 5 4 5 6 8 9 9 9 11 11 12 12 10 8 6 5 4 4 4 5 5 6 7 7 8 9 10 10 11 11 11 12 12 12 12 12 11 11 10 10 9 9 9 8 nan
nan 8 8 8 7 8 9 7 5 4 5 6 6 7 7 7 7 7 8 8 7 6 6 7 7 7 7 6 6 7 8 8 8 7 7 6 6 6 7 6 7 7 7 7 8 8 7 6 5 5 5 6 7 8 8 7 8 8 8 8 8 8 9 9 8 8 9 9 10 11 12 12 11 9 8 6 6 6 7 8 8 7 6 6 5 6 6 6 7 8 6 3 3 4 5 6 8 11 13 15 15 14 11 8 5 4 3 3 4 4 5 5 6 6 7 8 9 9 10 10 11 11 12 12 12 12 12 12 11 11 10 10 10 9 nan
nan 9 10 9 8 8 9 6 3 4 6 7 7 7 7 7 7 8 8 8 7 6 5 5 6 6 6 5 4 4 6 7 7 7 5 5 5 6 6 6 6 6 7 7 8 9 9 8 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 11 12 12 12 11 9 7 6 6 7 7 7 7 7 6 6 6 6 7 8 7 5 4 4 3 3 4 7 10 12 14 13 12 9 7 5 4 4 4 4 4 4 5 5 6 6 7 8 8 9 10 10 11 11 12 12 12 13 12 12 11 11 10 10 10 nan
nan 10 11 10 9 9 9 6 2 3 5 6 7 7 7 7 7 7 7 8 8 7 5 4 5 5 5 4 3 3 3 4 6 6 6 4 5 6 7 7 7 6 7 8 9 10 10 10 9 9 8 7 7 8 9 9 8 7 7 7 8 8 8 8 8 9 9 10 10 10 10 11 12 12 10 9 8 8 8 8 8 8 7 6 6 6 7 8 8 6 5 5 5 5 4 5 7 8 9 9 9 8 7 6 7 6 5 4 4 4 4 4 5 5 6 6 7 8 8 9 9 10 11 11 11 12 12 12 12 12 11 11 10 10 nan
nan 9 11 12 10 9 8 6 3 3 5 6 7 7 7 7 7 6 6 8 10 10 7 5 5 5 5 5 5 5 3 3 5 6 7 7 6 7 8 8 8 8 7 8 8 9 9 10 10 10 10 10 10 9 9 8 7 6 5 6 6 6 6 6 7 8 9 10 10 10 9 9 9 9 9 9 8 9 9 10 10 9 8 7 7 7 8 9 8 7 6 6 6 6 5 6 6 6 7 6 6 5 6 8 10 9 7 6 5 4 4 4 4 5 5 6 6 7 8 8 9 9 10 10 10 11 11 11 12 12 12 11 11 10 nan
nan 9 11 12 11 9 8 5 3 3 5 6 7 6 6 7 6 5 5 7 10 11 10 8 7 6 6 6 8 8 7 5 5 5 7 8 8 8 8 8 8 8 7 7 7 7 8 8 9 10 11 11 11 11 10 9 8 7 6 5 5 5 5 6 7 8 9 10 11 10 9 8 7 7 7 7 7 7 8 10 10 10 9 8 8 8 9 9 8 7 6 6 6 6 6 6 5 6 6 6 5 6 8 10 11 10 9 8 7 5 5 4 4 5 5 6 6 7 7 7 8 8 8 8 9 9 9 10 11 11 12 12 11 11 nan
nan 9 12 13 12 9 8 7 5 3 5 7 8 6 6 7 7 5 5 5 7 9 9 9 8 7 7 7 8 10 11 8 6 4 4 6 8 8 8 9 9 8 7 7 7 7 8 8 9 9 10 10 11 11 12 12 12 12 10 8 7 6 6 6 7 7 9 10 10 10 9 8 7 7 6 6 6 7 8 8 9 10 10 10 9 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 5 6 7 8 9 10 10 11 10 8 7 6 5 5 6 6 7 7 7 7 6 6 7 7 7 7 7 8 10 11 11 12 12 12 nan
nan 9 12 13 12 10 10 9 7 4 5 8 9 7 7 8 8 7 6 5 5 6 7 7 7 7 7 6 7 9 11 11 8 5 3 4 7 8 8 9 10 9 8 7 7 7 8 8 8 9 10 10 10 10 12 13 14 14 13 12 11 10 9 7 5 5 7 9 10 9 8 7 7 6 6 6 6 6 6 7 8 9 10 11 11 10 8 6 5 6 6 7 6 6 7 7 7 7 6 5 5 5 5 6 7 8 10 11 11 11 10 9 9 9 9 9 8 7 6 5 5 5 5 5 6 6 6 8 9 10 11 12 12 12 nan
nan 7 9 11 11 10 11 11 8 4 5 7 9 8 8 9 9 8 7 7 6 5 6 6 6 5 5 5 5 7 10 12 11 8 6 6 7 7 8 9 10 10 8 7 7 7 7 7 8 9 9 9 9 9 10 11 13 14 14 14 14 13 11 8 6 5 6 8 9 9 8 7 6 6 5 6 6 6 6 5 5 6 8 9 10 9 8 7 6 6 7 7 7 7 8 9 9 7 5 3 3 3 3 4 4 5 7 9 10 12 13 14 14 15 15 13 11 7 5 4 3 4 4 5 5 6 7 8 9 10 11 12 12 12 nan
nan 4 6 7 8 9 11 11 8 5 4 6 9 9 9 9 10 9 8 7 7 7 7 6 6 5 5 4 3 5 8 10 11 10 8 8 8 8 8 8 9 9 7 6 6 6 6 7 7 8 8 9 10 10 11 12 12 13 13 14 14 14 13 11 9 8 7 8 9 9 8 7 6 6 5 6 7 7 6 5 4 5 6 7 8 9 9 9 9 9 8 8 7 7 8 8 8 5 3 2 2 3 3 2 2 3 4 7 9 11 13 15 16 17 17 14 10 5 3 2 2 3 4 5 6 7 8 8 9 10 11 11 12 12 nan
nan 3 3 4 6 9 11 11 8 5 3 5 8 10 11 10 9 9 8 8 8 7 7 7 6 6 5 3 3 4 6 8 9 9 9 8 8 9 9 9 9 8 6 5 5 5 5 6 7 7 8 9 10 12 13 13 13 13 13 13 14 14 14 14 13 10 9 8 8 9 8 7 6 6 6 7 8 8 7 7 6 5 6 6 7 8 9 10 11 11 10 9 8 8 7 6 5 3 3 3 3 3 3 2 2 4 6 7 8 8 10 11 12 12 10 7 2 1 1 1 2 4 5 6 7 8 8 9 9 10 10 11 11 11 nan
nan 2 1 2 5 8 10 11 10 6 3 3 6 10 12 12 11 9 8 8 8 8 7 7 7 6 5 3 2 2 4 6 7 8 8 8 9 9 8 9 9 8 5 4 4 4 5 6 6 7 7 8 9 11 12 13 13 13 13 13 13 14 15 16 15 13 10 8 7 7 7 7 7 7 7 7 7 7 8 8 7 6 5 5 6 8 9 10 11 12 12 11 10 9 8 5 4 4 5 5 5 5 4 3 4 5 6 7 6 7 7 7 7 6 3 -1 -4 -2 1 2 4 5 6 7 8 9 9 9 10 10 10 10 10 11 nan
nan 3 1 1 3 6 9 11 12 10 4 2 4 8 11 12 13 12 10 9 8 7 7 7 7 7 6 4 2 1 2 3 5 7 8 8 9 9 9 9 10 9 6 4 4 4 5 6 7 7 7 7 7 8 9 10 11 12 13 14 14 14 15 16 16 14 11 8 5 4 4 5 6 7 8 7 6 7 9 9 8 6 5 5 6 8 8 9 9 10 11 11 11 10 8 6 5 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 5 3 0 -3 -2 1 4 6 7 8 8 8 8 9 9 9 9 9 9 9 9 10 nan
nan 5 3 2 2 4 7 10 12 12 7 2 2 5 8 11 13 13 13 11 9 8 8 7 7 7 7 6 4 3 2 2 4 5 7 8 9 9 9 10 11 10 9 6 5 5 6 7 7 7 7 6 6 6 7 8 10 11 13 14 14 14 13 13 13 12 11 8 5 3 2 2 3 5 7 7 8 9 9 10 9 7 6 7 8 8 8 8 8 9 9 9 9 8 7 6 6 6 6 6 6 6 6 6 5 5 4 4 4 6 6 6 5 3 0 0 4 9 12 12 11 10 9 9 8 8 8 9 9 8 8 8 8 8 nan
nan 6 4 2 2 4 6 9 11 11 8 4 2 3 5 8 11 13 14 12 11 9 8 8 8 8 7 7 6 4 4 3 3 4 5 7 8 9 9 10 10 11 10 8 6 6 6 6 6 6 6 6 6 7 7 8 8 9 10 11 11 11 10 9 8 9 9 9 8 6 5 3 3 4 6 8 10 9 8 8 8 8 9 9 9 9 9 9 8 7 7 7 6 5 5 6 6 7 7 7 6 6 6 6 6 5 4 2 3 5 6 6 5 4 5 9 15 19 19 17 14 12 11 9 8 8 8 8 7 7 7 7 7 7 nan
nan 6 4 3 3 4 6 8 9 9 8 5 2 2 4 7 9 12 13 13 12 11 10 10 10 9 8 7 6 5 5 4 1 1 4 6 8 8 8 8 9 11 11 9 6 4 5 5 5 5 5 6 7 8 7 7 7 6 6 7 7 7 7 7 7 8 9 10 10 10 10 8 7 6 7 8 9 8 6 6 8 10 10 10 9 9 9 7 6 6 7 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 4 4 4 4 5 5 5 7 11 17 21 22 20 18 17 16 12 9 7 7 6 6 6 6 6 5 6 7 nan
nan 6 4 4 5 5 6 7 8 8 8 6 3 2 4 7 9 10 12 13 13 11 9 9 11 11 10 8 7 7 8 5 1 -0 2 5 8 8 7 7 8 10 12 11 7 4 4 4 4 5 5 6 7 7 6 6 6 5 5 5 5 6 6 7 8 9 9 9 10 12 12 12 11 9 8 8 8 7 6 6 8 9 9 7 7 7 7 6 6 6 8 9 10 10 10 9 8 7 7 7 7 6 6 6 6 6 6 5 5 4 5 6 7 8 12 15 17 16 16 16 17 16 12 8 6 5 5 5 5 5 5 5 6 7 nan
nan 7 6 5 6 6 6 6 7 7 7 6 5 4 5 6 8 9 11 13 13 10 8 7 9 10 10 10 8 9 11 9 4 -0 -0 3 8 9 8 7 8 10 12 13 10 7 6 5 5 4 4 5 5 5 5 5 5 5 5 5 6 7 8 9 10 10 9 9 9 11 11 12 11 9 8 7 7 8 8 8 7 6 4 3 4 4 5 6 6 7 8 9 10 10 10 10 9 9 8 7 7 7 6 6 6 6 6 6 6 6 7 8 8 9 9 9 9 10 11 12 12 12 10 6 4 4 4 4 5 5 5 5 6 7 nan
nan 8 7 7 6 6 6 6 7 5 4 5 6 6 6 7 7 9 11 13 13 11 9 7 7 8 9 9 8 10 13 14 10 4 -0 1 5 7 8 8 8 9 11 12 12 10 9 8 7 5 4 4 4 3 3 3 4 4 5 6 7 9 10 10 10 10 9 9 9 10 10 11 10 9 7 6 6 7 8 8 7 5 3 3 3 2 2 4 5 5 5 6 8 9 10 10 11 11 9 8 8 7 7 6 6 6 7 7 7 8 10 10 9 8 7 6 6 5 5 4 4 3 2 1 2 2 3 4 5 5 5 6 6 7 nan
nan 8 8 7 7 6 6 6 6 4 2 2 4 6 8 7 7 8 10 12 12 12 11 9 8 7 8 8 7 8 12 15 14 10 5 3 3 5 7 7 7 7 9 10 11 11 11 11 10 8 5 4 3 3 2 2 3 3 4 5 7 9 9 9 9 9 9 10 10 10 10 10 11 10 9 8 7 7 8 9 9 8 7 6 5 5 4 4 3 3 3 4 6 7 9 10 11 11 10 9 9 8 8 7 7 7 7 7 9 12 12 11 9 8 7 7 5 1 -2 -4 -5 -6 -7 -4 0 3 5 6 6 6 6 6 6 7 nan
nan 8 8 8 7 7 6 6 6 5 2 0 1 5 8 9 8 8 8 9 9 10 12 12 10 8 8 8 7 7 8 11 12 13 11 8 4 5 7 7 7 6 7 9 9 9 10 11 11 9 7 5 4 3 1 1 1 2 2 3 4 6 6 7 7 8 9 10 11 10 10 10 11 11 12 11 10 9 9 10 11 12 12 11 10 10 10 9 6 5 4 4 5 6 8 10 10 9 9 9 9 9 9 9 8 7 7 8 11 13 12 9 8 7 8 8 4 0 -3 -4 -5 -6 -5 -1 3 5 6 7 7 6 6 5 6 6 nan
nan 8 8 8 8 7 7 6 6 6 3 1 -0 2 7 10 11 10 8 7 5 7 12 13 11 9 8 8 7 7 7 7 8 10 12 10 5 5 8 9 8 7 7 8 8 9 9 11 12 11 9 8 7 6 4 3 2 2 2 1 1 1 2 3 5 6 8 9 10 10 9 9 10 10 11 12 12 11 11 11 12 13 14 14 14 14 13 12 10 9 7 6 4 5 6 7 7 8 9 9 10 10 10 10 9 7 8 10 11 10 8 6 5 5 6 5 4 4 5 7 7 5 6 7 7 7 7 7 7 6 6 5 5 6 nan
nan 8 8 8 8 8 7 6 6 6 5 3 1 1 5 10 13 13 10 6 3 5 9 10 11 10 9 8 7 7 6 5 6 9 12 10 5 4 6 9 9 8 8 8 8 8 9 10 11 12 12 11 11 11 11 9 8 7 6 4 2 0 0 1 3 5 6 8 8 8 8 8 9 9 9 11 13 13 12 11 11 12 13 13 13 13 12 12 13 13 11 9 6 4 4 5 6 8 9 9 9 10 10 10 9 9 10 10 8 6 5 5 5 5 4 4 6 9 13 16 16 13 11 9 8 7 7 7 6 6 5 5 5 6 nan
nan 9 8 8 9 8 7 7 6 7 6 4 2 1 5 10 13 14 12 7 4 4 6 7 9 10 10 9 9 8 6 5 5 8 12 12 8 5 5 6 8 9 8 7 7 7 8 9 9 10 10 11 11 12 13 13 13 12 12 11 9 6 4 3 3 4 5 6 6 6 6 7 8 8 9 11 12 12 12 10 10 10 10 10 10 11 11 12 13 13 13 11 10 8 6 6 7 8 8 8 8 8 8 8 9 9 9 8 6 5 5 7 9 9 9 9 10 12 14 15 14 11 8 7 7 6 6 6 6 6 5 5 5 6 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
24 26 27 30 31 32 33 33 31 28 26 26 26 27 27 27 27 29 31 34 39 42 41 39 37 34 32 32 30 27 26 23 19 15 12 10 9 9 8 9 8 8 8 9 9 9 9 10 11 10 8 7 5 4 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 1 9 28 47 56 58 61 64 71 76 78 78 76 71 69 73 80 86 92 97 107 112 114 119 124 130 135 137 139 140 149 151 152 152 154 156 156 155 158 162 159 153 147 142 140 139 133 122 108 94 79 64 53 43
19 21 24 26 27 30 32 32 32 31 29 28 28 29 29 30 30 33 35 40 41 39 38 36 33 32 32 31 27 26 24 21 16 14 12 10 7 6 5 6 6 6 6 8 8 8 8 8 7 6 5 5 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 1 11 29 42 51 58 59 55 62 72 76 78 75 68 64 68 75 77 82 85 90 95 96 99 108 116 121 125 123 119 113 117 126 132 137 142 146 155 165 165 159 160 160 161 162 163 157 146 134 120 103 90 80 65
14 17 21 22 24 26 28 30 32 32 32 31 31 31 32 33 34 36 37 38 37 35 33 32 31 31 31 28 25 25 21 17 15 13 11 7 5 4 4 4 4 7 6 6 6 5 5 4 5 4 5 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 2 12 27 38 43 56 60 54 54 60 65 69 70 66 61 67 74 76 79 79 80 83 88 97 104 106 109 111 112 109 101 97 99 100 102 107 112 121 132 138 143 152 159 164 168 169 166 158 147 134 119 108 96 85
11 13 16 19 22 23 25 27 28 30 31 32 32 32 32 32 33 34 34 34 32 30 30 29 30 31 31 26 26 23 18 16 14 12 7 4 4 3 3 4 3 3 3 3 3 3 3 4 4 3 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 2 12 27 38 42 54 59 55 53 54 56 57 59 59 58 60 67 71 74 78 80 80 83 85 89 94 96 99 104 105 104 101 97 95 94 94 95 98 105 112 121 133 144 151 157 163 168 165 153 138 129 120 112 105
11 11 12 14 17 19 21 23 25 26 28 30 32 32 31 31 31 31 30 27 25 25 26 28 29 31 28 25 25 21 18 15 13 9 6 4 3 2 1 0 1 1 1 2 2 2 2 3 2 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 2 11 27 37 42 52 58 56 54 54 54 54 53 51 50 50 55 61 67 73 78 81 85 89 87 86 87 88 92 95 97 98 98 98 97 96 95 94 95 97 102 114 125 133 144 154 164 172 159 151 145 136 127 122
13 13 11 12 12 14 16 19 20 22 24 26 28 29 29 28 27 26 25 24 23 25 27 27 28 26 24 23 22 19 16 13 10 7 6 4 2 0 1 0 0 0 0 1 1 1 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 12 25 34 40 51 60 62 58 56 55 55 54 48 46 47 50 54 59 64 70 75 81 83 82 85 86 86 88 90 93 94 97 98 99 98 96 95 93 92 96 103 109 117 129 140 150 163 162 160 157 150 141 138
14 14 13 12 12 12 13 14 15 17 19 21 24 25 24 23 22 22 23 23 25 26 27 26 24 21 22 21 19 17 14 11 8 7 5 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 3 13 25 34 40 50 62 66 61 58 56 55 51 48 45 45 46 48 53 58 64 69 73 77 80 81 81 83 88 94 97 101 99 97 98 99 99 99 98 97 98 101 101 105 111 121 132 144 152 153 152 154 152 156
15 14 14 13 13 13 12 12 13 14 15 17 18 19 20 20 21 22 24 27 28 27 25 23 22 20 20 17 16 15 12 9 7 5 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 3 12 25 36 39 45 57 64 63 58 57 57 54 50 46 44 43 44 48 53 59 64 67 69 69 70 73 77 83 88 94 94 93 92 95 97 98 98 100 103 105 104 99 98 102 108 115 126 137 142 143 150 153 162
13 14 14 14 14 14 13 13 13 14 15 15 15 16 17 19 21 22 24 25 24 23 22 20 20 17 16 15 14 12 9 8 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 3 12 24 37 45 49 54 60 62 58 57 58 57 54 51 47 45 43 44 47 52 56 61 64 66 68 70 73 79 84 84 84 89 87 91 93 93 94 97 103 106 107 102 98 99 102 105 110 117 127 134 142 148 157
10 11 12 14 14 14 14 15 15 16 17 18 18 18 18 20 21 21 21 21 21 20 19 18 16 15 14 13 12 10 8 7 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 4 12 22 33 42 47 52 56 60 61 59 59 59 57 53 49 46 43 43 44 45 49 52 57 60 62 66 69 71 70 72 74 76 81 86 88 90 93 93 94 99 103 101 98 99 101 100 98 101 108 118 131 143 150
8 8 11 13 14 14 15 16 17 18 19 20 21 21 19 18 17 17 18 18 19 18 17 15 14 12 12 11 9 7 6 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 4 12 21 30 40 47 53 54 57 60 60 59 58 57 54 52 48 46 44 43 43 46 48 51 55 57 61 63 64 64 67 69 72 75 79 82 85 86 90 90 93 98 96 93 93 96 98 100 101 101 107 122 136 146
7 7 8 10 12 14 15 16 17 17 18 18 18 17 16 15 14 13 14 15 17 15 13 12 11 10 9 8 6 5 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 1 4 11 20 28 37 43 49 52 55 56 57 57 56 56 54 52 50 48 47 45 44 45 47 49 51 54 56 58 62 64 66 68 69 70 73 76 79 80 82 83 86 89 91 90 89 88 92 103 110 109 109 116 127 140
5 6 7 9 10 12 13 15 15 15 16 16 15 13 13 13 13 12 12 13 12 11 10 9 9 9 8 6 5 4 3 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 1 4 10 18 24 32 38 45 50 53 54 55 53 53 54 54 52 51 50 48 46 45 45 46 48 49 50 54 57 60 62 66 70 72 71 73 75 76 78 79 80 79 80 85 88 89 87 88 105 116 118 117 115 117 125
3 4 6 7 8 10 11 12 12 13 14 14 13 12 12 12 12 12 11 10 8 8 7 7 8 7 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 16 21 27 33 41 46 49 52 53 52 50 50 52 51 51 51 50 48 46 45 46 49 51 50 54 57 61 66 70 73 76 76 78 79 79 80 78 78 80 82 82 86 88 93 93 100 110 117 122 123 120 118
2 3 4 6 8 9 10 11 11 12 12 12 12 12 11 10 9 8 8 7 6 6 8 7 6 5 4 3 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 3 7 12 18 24 29 37 43 45 49 50 51 50 51 50 51 51 52 52 50 47 44 43 51 53 55 57 61 65 69 70 72 74 77 79 82 84 85 83 82 81 81 83 85 88 91 95 99 104 110 121 127 127 122
1 1 1 3 6 7 9 10 10 11 11 10 9 8 7 6 5 4 4 5 6 5 5 5 4 3 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 11 16 22 27 32 39 44 45 46 50 50 51 53 52 52 53 54 53 49 45 47 52 56 60 64 67 69 71 70 70 72 76 80 84 88 89 88 86 85 83 84 85 86 89 94 100 103 105 114 122 128 126
0 0 0 1 3 5 7 7 8 9 9 8 7 6 5 4 3 3 5 4 4 3 2 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 0 0 0 0 0 0 0 0 0 0 0 1 3 6 11 15 21 26 31 38 42 45 46 49 51 52 53 52 52 54 54 54 52 48 49 53 59 64 69 72 73 72 70 70 72 77 81 85 89 89 87 87 88 87 87 86 86 88 91 98 102 105 110 115 123 126
0 0 0 0 1 3 4 4 5 6 6 6 5 5 3 2 3 3 3 2 2 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 2 4 9 15 21 26 32 37 41 46 47 51 55 56 54 52 51 54 52 53 52 51 51 56 63 69 74 77 77 75 73 72 75 79 83 86 88 90 88 88 89 90 91 91 89 89 95 101 104 105 107 111 121 130
0 0 0 0 0 2 2 2 3 4 4 4 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 15 21 27 32 37 41 49 52 56 61 61 55 51 49 51 50 51 50 51 55 59 64 70 74 77 78 78 76 76 79 83 88 91 91 92 89 90 93 95 97 97 94 92 99 102 101 101 103 110 123 132
0 0 0 0 0 1 1 1 2 2 2 2 2 1 1 0 0 0 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 2 5 11 17 23 27 33 39 46 53 55 54 55 60 61 58 53 50 48 50 49 48 49 51 55 61 67 71 77 79 79 81 83 87 92 93 94 96 97 100 102 104 105 107 104 102 97 94 96 99 103 111 122 130
0 0 0 0 0 0 0 0 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 3 8 14 20 25 33 41 48 54 60 61 57 57 65 70 66 57 53 51 51 51 49 46 45 49 54 59 62 68 73 78 80 83 90 95 96 98 101 104 107 111 113 113 114 114 115 108 103 103 106 110 113 116 121
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 23 34 44 56 65 71 80 93 107 117 125 130 130 131 132 132 132 135 138 140 142 144 148 146 142 134 130 128 129 130 130 128 132 126 114 104 99 100 104 110 125 138 143 141 133 124 120 119 126 136 143 147 145 142
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