Vorticity
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nan 7 7 7 8 8 9 9 8 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 7 8 8 8 9 9 9 8 7 7 7 7 7 7 7 7 8 8 7 6 6 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 9 9 9 9 8 7 7 7 7 8 8 8 9 9 9 9 8 7 7 7 6 6 6 6 6 6 6 6 5 6 7 6 6 5 6 8 9 9 8 7 6 4 3 3 4 5 6 7 8 9 10 11 12 13 14 15 15 16 15 15 16 18 21 25 26 25 23 21 19 nan
nan 8 7 7 8 8 9 9 8 7 7 7 7 8 8 7 7 8 8 8 8 8 8 9 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 7 8 7 7 6 5 5 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 8 8 8 8 9 10 10 10 9 8 7 7 7 7 6 6 5 6 6 7 7 8 11 11 10 8 8 9 12 13 12 11 9 8 5 3 2 2 4 5 6 8 8 9 10 12 13 14 15 16 16 16 16 17 20 23 26 25 24 22 21 19 nan
nan 7 8 8 8 8 9 9 8 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 7 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 8 8 8 8 8 7 8 8 8 8 8 9 9 9 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 7 7 6 6 6 6 7 9 11 12 12 13 16 19 20 19 16 13 10 8 6 4 2 1 2 4 6 7 7 8 9 10 12 13 14 15 15 15 16 17 19 22 23 22 21 20 19 18 nan
nan 7 8 8 8 8 8 8 7 6 7 7 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 6 6 6 7 8 9 12 17 23 27 26 23 17 11 8 7 6 4 2 1 1 3 5 6 6 7 8 9 10 11 12 13 13 13 14 14 16 17 18 18 18 17 17 17 nan
nan 7 8 8 8 8 8 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 6 6 5 5 7 10 15 19 22 22 18 13 8 6 7 7 6 4 2 0 1 3 5 5 6 6 7 8 9 9 10 10 10 10 11 12 12 12 13 14 14 15 16 nan
nan 7 7 7 8 9 8 7 7 6 7 7 7 7 7 7 8 8 8 8 8 8 9 8 8 8 8 7 6 6 6 6 7 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 8 8 7 8 8 9 8 8 9 10 10 10 10 9 9 8 7 6 6 7 6 6 5 5 6 8 10 12 12 12 11 8 8 9 9 9 7 5 3 1 0 2 4 5 6 6 6 7 8 8 8 8 8 8 8 9 9 9 9 10 11 12 12 nan
nan 7 7 8 9 10 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 7 7 6 6 6 7 7 8 8 9 9 9 9 9 9 8 8 7 7 8 9 10 10 10 9 9 8 8 8 8 8 9 9 8 9 9 9 8 8 9 10 10 10 9 7 6 6 7 8 8 8 8 8 9 10 10 10 9 9 8 8 7 7 7 7 6 5 5 5 6 6 7 8 8 8 7 8 12 14 13 12 10 7 5 2 1 1 3 5 6 6 7 7 8 8 8 7 7 7 8 8 7 8 8 8 8 8 9 nan
nan 7 8 9 10 10 9 8 7 7 7 7 7 7 7 8 8 7 8 8 10 10 10 9 9 8 7 7 7 7 8 7 7 7 8 9 9 9 9 9 9 8 8 7 7 8 9 10 10 10 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 9 10 10 9 8 6 6 6 7 7 7 7 8 7 8 9 9 9 9 9 9 8 7 7 7 6 6 6 6 6 6 6 7 8 8 8 8 10 14 15 15 14 13 11 8 5 3 2 3 4 6 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 nan
nan 8 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 10 10 9 9 9 8 7 8 8 9 8 8 7 7 7 8 9 9 10 10 9 9 8 7 7 8 9 9 9 9 9 9 9 10 11 12 12 12 11 10 9 8 8 8 9 10 10 10 8 6 6 6 7 7 7 7 7 7 7 7 7 8 9 9 10 9 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 10 11 12 13 15 17 16 13 9 5 4 4 6 7 8 9 8 8 8 7 7 7 7 7 8 8 9 9 9 8 8 8 nan
nan 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 8 8 9 9 8 8 7 7 7 8 9 9 10 10 10 8 7 7 8 8 8 8 8 8 9 9 11 12 13 13 12 11 9 9 9 9 10 11 11 9 8 6 6 6 7 7 7 7 7 7 7 6 6 7 7 8 9 10 8 7 6 5 6 7 7 8 8 8 9 9 9 8 7 7 7 7 8 9 11 15 17 17 16 13 10 10 10 11 11 9 8 7 6 7 7 7 7 7 7 8 9 9 9 9 9 9 9 nan
nan 7 8 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 9 8 8 8 8 7 7 8 8 8 8 8 9 9 8 7 8 8 8 9 9 9 9 7 6 6 7 7 7 7 7 8 9 10 11 12 13 12 11 10 10 10 11 11 12 11 9 7 5 5 6 7 7 8 8 8 7 7 7 7 7 7 7 8 9 9 8 7 7 7 7 8 8 9 9 9 10 10 9 6 5 5 6 6 6 7 8 10 13 15 15 16 16 18 20 18 14 9 4 3 5 6 7 7 7 8 8 8 8 9 9 9 10 10 9 nan
nan 7 7 7 6 7 8 8 8 8 8 8 8 8 9 10 11 10 9 9 8 8 8 7 7 6 7 7 7 7 8 9 9 8 8 8 8 8 8 9 9 9 7 6 5 6 6 7 7 7 8 9 10 11 12 12 11 10 11 11 13 13 13 11 9 6 4 3 4 6 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 7 5 4 5 5 6 5 5 6 7 9 11 13 16 19 21 21 18 10 1 -4 -1 4 6 7 7 8 9 9 9 9 8 8 9 9 9 9 nan
nan 7 7 7 7 8 9 9 9 8 8 8 8 8 9 10 10 10 9 9 8 8 8 7 7 7 7 6 6 6 8 9 9 8 8 8 8 8 8 9 10 8 6 5 5 6 7 7 7 8 9 9 10 10 10 10 10 11 13 14 15 14 11 9 6 3 2 3 5 7 9 9 9 8 8 7 6 7 7 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 8 7 5 5 5 5 5 5 5 5 6 7 8 8 9 11 13 15 13 6 -4 -12 -10 -2 3 6 7 8 9 9 9 9 9 8 8 8 8 8 9 nan
nan 7 7 7 7 8 8 8 8 9 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 8 7 7 6 6 7 7 7 8 8 8 8 8 9 10 11 9 7 5 5 6 7 8 8 9 9 8 8 8 8 8 9 11 14 16 16 12 8 5 3 2 3 5 7 9 10 9 9 8 7 6 6 6 7 8 9 9 8 8 8 8 8 9 9 10 10 10 10 9 9 8 6 6 6 7 7 6 6 6 6 7 8 7 7 7 7 8 8 3 -6 -15 -17 -9 -1 5 7 8 8 8 8 9 9 8 8 8 8 8 8 8 nan
nan 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 7 8 8 9 10 11 12 10 8 6 6 7 7 8 9 9 8 7 6 6 6 7 8 11 13 14 12 8 4 2 2 4 6 9 10 10 9 9 8 8 7 5 5 5 7 9 10 9 8 8 8 8 8 8 8 9 10 10 10 10 10 9 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 5 -2 -11 -16 -10 -1 6 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 nan
nan 7 7 6 7 7 7 8 9 9 9 8 8 8 8 8 8 7 8 9 9 9 8 8 8 8 8 8 8 7 7 6 6 6 6 7 8 9 10 11 11 10 8 7 7 7 7 8 8 8 7 7 6 6 6 8 9 10 11 10 7 3 2 2 4 7 10 12 12 10 9 8 7 7 6 5 5 6 8 10 10 9 8 8 7 7 7 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 7 7 7 7 7 6 2 -5 -10 -8 2 11 14 12 9 8 7 7 8 7 7 7 7 7 7 7 7 6 nan
nan 8 7 6 6 6 7 8 9 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 6 6 6 7 9 10 10 9 9 8 8 8 7 6 6 6 6 6 6 6 7 7 8 9 9 8 6 4 2 2 4 7 10 12 13 12 10 8 7 7 7 7 7 8 9 10 10 9 9 8 7 7 7 7 7 7 8 8 9 9 10 10 11 11 10 10 10 10 10 10 9 9 9 7 6 6 6 6 5 2 -2 -2 6 17 22 20 15 11 9 8 8 7 6 6 6 7 7 7 7 7 6 nan
nan 8 7 6 7 8 9 9 9 9 9 8 8 7 7 8 8 9 9 9 9 10 9 9 9 9 9 9 8 7 8 8 6 5 5 6 7 8 9 9 8 8 9 9 9 8 7 6 6 6 6 6 6 7 7 7 7 7 6 4 3 2 4 6 9 11 12 12 10 9 8 8 8 7 7 8 9 11 10 9 8 7 7 6 6 6 6 7 7 8 9 10 11 11 12 11 10 10 9 9 9 9 9 9 9 8 8 7 7 7 7 6 5 5 10 18 23 23 19 15 12 10 8 6 5 5 5 6 7 7 8 8 7 6 nan
nan 8 7 7 8 9 9 9 9 8 8 7 7 7 7 8 8 8 8 9 10 10 10 9 10 10 10 9 8 8 9 8 6 4 5 6 6 7 8 8 8 9 10 11 10 9 8 7 7 6 6 5 5 6 6 6 6 6 5 3 2 3 5 8 9 10 10 9 9 9 9 9 9 8 8 8 9 9 9 8 7 6 6 6 6 6 6 7 7 8 9 10 11 11 11 10 8 8 8 8 8 7 7 7 8 8 8 9 9 9 8 8 8 9 13 16 16 14 13 12 11 8 5 2 2 4 6 7 7 7 7 7 7 6 nan
nan 8 8 8 8 8 8 8 7 7 6 6 6 7 7 8 8 8 9 10 10 10 9 9 9 9 9 8 7 8 9 8 7 6 6 7 7 7 7 7 8 9 11 11 10 9 9 9 10 9 6 5 5 5 5 5 5 4 4 2 2 4 7 8 9 8 7 7 8 9 10 10 9 9 8 8 9 9 8 7 6 6 6 5 5 5 6 6 7 8 9 9 9 9 8 8 7 7 7 7 7 7 7 6 6 8 10 11 11 10 9 8 8 8 9 8 8 7 7 8 6 3 0 -2 2 5 7 7 7 7 7 7 6 5 nan
nan 8 8 8 7 7 7 7 7 6 6 6 6 7 8 8 9 9 9 10 10 9 9 8 8 8 8 7 7 7 8 9 10 9 9 9 8 7 6 6 7 9 10 11 10 10 10 10 10 9 7 6 6 6 5 5 4 4 3 2 3 5 7 8 7 6 6 7 8 10 10 10 10 9 9 9 9 8 7 7 7 6 5 5 4 4 4 5 6 7 7 7 7 7 7 8 9 10 9 9 9 8 7 6 7 9 10 11 11 10 10 8 7 6 6 5 3 1 -0 -1 -2 -5 -8 -6 1 5 7 8 8 8 7 6 6 5 nan
nan 8 8 8 8 7 7 7 7 6 6 6 7 8 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 8 10 11 10 10 10 9 7 6 6 7 8 9 9 9 10 10 10 8 6 6 7 8 8 7 6 5 4 3 3 4 5 7 7 6 6 6 7 9 10 9 10 10 10 9 9 9 8 7 7 7 7 6 5 4 4 4 5 6 6 6 6 6 7 8 10 12 11 10 10 10 9 8 7 8 9 10 11 11 11 10 8 7 6 5 4 -1 -6 -9 -11 -11 -13 -14 -7 2 7 9 9 8 8 7 6 6 5 nan
nan 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 9 9 8 9 8 7 7 7 8 8 8 9 10 10 10 10 10 8 6 6 6 7 8 8 8 9 9 10 10 10 8 8 8 10 10 9 7 6 5 4 3 3 4 4 5 6 6 6 6 8 8 9 9 10 10 10 9 9 8 8 8 8 7 7 7 6 6 7 8 8 7 7 7 7 7 9 11 11 10 10 10 10 10 9 8 8 8 9 11 12 13 11 9 7 7 6 2 -3 -7 -10 -10 -8 -10 -7 0 6 9 9 9 9 8 7 6 6 5 nan
nan 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 8 7 7 9 9 8 8 8 9 9 9 9 9 9 10 10 9 7 6 6 7 7 8 8 8 8 9 10 11 12 11 10 9 9 9 9 8 7 7 6 4 2 1 2 3 5 6 6 6 6 7 8 8 9 9 8 9 9 9 9 8 8 8 8 9 9 10 11 11 10 9 8 7 7 7 9 9 9 9 9 10 11 11 10 10 9 8 10 12 13 12 11 9 7 6 5 3 1 0 1 3 4 3 4 7 9 9 9 8 8 8 8 7 6 5 nan
nan 8 8 8 8 8 8 8 8 9 8 7 7 7 8 8 9 9 9 7 7 7 9 9 10 9 9 10 10 10 9 8 8 8 9 8 7 6 7 7 8 8 8 8 8 8 9 10 11 11 10 8 8 9 9 9 8 8 8 7 6 3 2 3 4 5 5 6 6 6 6 7 7 7 7 7 8 9 9 8 8 8 9 10 11 12 12 11 11 10 9 8 7 7 7 8 8 9 9 10 11 11 10 9 9 10 12 13 13 11 10 9 8 6 5 5 6 8 11 13 11 8 6 7 7 8 8 8 8 8 8 8 6 6 nan
nan 8 8 8 8 8 8 8 8 9 8 7 6 6 7 8 9 10 10 8 7 8 8 9 9 9 9 9 9 8 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 9 9 9 9 10 10 10 8 6 5 5 5 6 6 6 5 5 6 6 6 6 7 8 8 8 7 7 8 9 10 10 10 10 10 10 10 9 8 8 9 8 8 9 9 9 9 10 10 9 8 9 11 13 13 12 11 10 10 9 7 7 8 8 10 11 11 6 2 2 5 6 7 8 8 8 9 8 8 7 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
50 48 45 43 40 36 35 34 33 33 34 34 35 35 34 34 35 36 37 39 39 40 42 44 43 40 35 32 30 31 33 34 34 30 27 25 24 22 20 19 20 20 19 19 19 18 18 19 20 20 19 19 21 18 19 21 18 13 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 33 48 61 76 97 121 147 150 148 170 192 197 189 176 167 165 165 161 149 140 134 134 139 146 149 146 143 141 143 147 143 136 124 112 98 84 72 66 68 65 64 59 51 42 38 36 35 35 34 30 27
54 55 53 48 44 39 36 35 35 34 34 34 35 34 34 35 35 36 37 39 40 42 44 44 41 37 33 31 30 31 32 34 33 29 26 25 24 20 18 18 18 18 18 18 18 17 17 17 18 18 17 17 17 12 15 18 17 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 17 35 51 67 88 111 138 156 154 158 182 208 215 201 183 170 167 164 161 156 150 144 145 151 157 159 156 154 152 148 148 147 142 132 120 106 95 86 74 72 70 68 64 57 48 41 38 35 34 31 28 28
54 54 53 52 49 45 41 38 36 35 35 36 35 35 36 37 38 38 38 39 42 43 43 41 37 33 31 31 30 32 34 34 31 27 25 24 22 16 14 17 16 15 16 17 17 17 17 17 17 17 17 16 16 12 12 13 12 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 5 19 39 57 77 101 127 151 157 156 165 188 210 213 199 183 170 165 164 162 160 158 158 156 156 157 155 158 160 163 161 157 155 150 143 135 120 104 97 89 82 74 70 68 63 56 48 41 36 34 30 28 28
52 54 55 54 53 51 47 42 39 37 37 38 37 38 38 39 40 39 38 39 41 42 40 37 33 31 32 33 32 33 35 33 29 26 24 24 19 12 11 13 14 14 15 16 16 16 17 17 17 17 17 17 14 12 10 9 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 23 44 67 90 117 145 160 163 164 176 199 221 218 198 182 172 169 166 163 162 160 158 156 155 152 146 151 156 161 162 160 156 151 147 144 132 119 107 99 90 80 74 70 67 62 55 47 39 36 31 28 27
48 51 52 53 53 52 51 47 44 42 41 41 40 40 40 40 41 39 36 32 33 34 34 33 33 32 34 34 32 32 31 29 26 25 24 20 14 11 12 13 13 13 13 14 15 15 16 16 17 17 17 16 14 11 9 8 5 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 29 47 70 100 129 156 168 171 177 189 214 232 231 210 189 178 176 173 168 167 165 161 157 154 148 142 142 144 146 151 155 156 156 151 145 136 125 115 106 98 90 82 75 68 67 62 53 44 40 36 31 26
43 47 48 49 50 49 48 47 46 44 43 43 41 41 41 41 40 38 35 32 30 30 32 33 34 33 33 31 30 29 27 25 24 23 22 16 11 11 12 13 13 13 12 12 13 14 15 15 16 16 16 15 14 12 9 6 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 15 34 54 86 114 135 160 174 175 187 204 230 242 238 214 197 187 181 178 177 176 170 162 155 152 147 142 139 137 137 138 145 152 156 156 153 144 133 122 113 105 98 92 85 72 69 66 59 51 46 44 40 34
35 42 44 45 45 45 44 43 42 42 41 40 40 40 40 39 35 35 34 33 31 30 32 32 30 28 27 26 25 24 22 22 22 22 19 13 10 11 13 14 12 11 11 11 12 13 13 14 14 14 15 14 13 12 9 6 4 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 20 39 60 88 117 138 158 174 178 191 206 225 231 234 223 210 195 181 174 173 176 170 161 153 151 150 147 144 141 138 137 139 144 150 155 158 153 144 136 126 115 103 100 96 85 77 70 65 59 55 51 46 42
30 34 38 39 40 40 40 39 38 37 37 37 37 36 36 33 29 28 27 26 24 24 25 26 25 24 23 22 21 21 21 21 20 19 14 10 9 11 11 9 8 8 8 10 12 12 12 13 14 14 14 13 12 11 9 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 25 44 66 104 128 137 157 176 183 191 187 206 216 226 227 215 196 179 167 168 175 174 169 163 159 157 155 153 152 145 139 136 137 143 147 150 150 148 148 144 132 116 110 103 95 86 77 70 67 64 57 50 47
29 30 31 32 33 34 34 33 33 33 33 34 33 31 29 27 25 24 23 21 20 21 21 21 21 21 20 20 20 20 20 20 18 15 11 9 10 9 7 5 5 5 6 8 10 11 11 12 12 13 13 13 12 10 9 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 31 50 74 102 126 144 163 180 193 182 173 192 213 227 229 216 198 183 172 169 173 178 180 175 171 168 165 163 162 156 147 139 133 136 137 138 141 145 150 153 148 139 128 115 104 98 91 80 72 69 65 56 51
27 28 28 28 28 29 29 29 29 30 29 28 26 23 22 22 21 20 20 19 18 17 19 18 18 18 19 19 18 18 18 17 15 12 9 9 8 6 5 4 4 4 5 6 7 9 10 10 11 12 12 12 11 10 9 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 34 55 77 102 129 155 171 178 192 181 173 181 199 217 227 216 206 197 190 184 182 185 187 188 187 184 180 175 171 161 156 148 140 134 131 132 135 141 145 149 152 152 149 138 122 108 101 92 82 72 70 64 57
20 23 25 26 27 27 27 26 26 27 25 23 20 20 19 21 21 19 18 17 17 16 16 15 15 16 16 16 16 16 16 14 13 10 8 8 7 5 3 4 5 4 3 4 4 7 8 9 9 10 11 11 10 9 7 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 3 19 44 67 83 96 115 148 175 178 182 180 175 169 169 188 218 218 219 213 206 196 187 186 192 198 199 196 193 192 180 168 159 154 148 140 132 130 134 140 143 147 153 157 158 154 143 130 117 104 94 81 75 69 64
14 16 19 22 24 24 24 24 23 23 22 21 20 19 17 17 16 15 14 13 12 11 11 12 13 13 13 13 13 13 13 12 11 9 7 7 6 3 2 3 3 3 2 3 3 5 6 8 8 9 9 9 9 7 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 24 46 65 83 96 106 133 164 174 168 165 175 179 164 175 196 210 216 211 207 202 196 191 191 196 200 197 197 200 194 184 173 165 158 152 141 134 136 140 145 151 157 161 161 160 154 148 136 119 107 96 85 77 70
9 11 14 17 19 20 20 20 20 19 18 18 16 14 13 12 11 10 10 9 8 8 8 9 10 10 9 9 10 10 10 9 8 7 6 5 3 1 1 1 1 1 1 1 2 3 4 6 6 7 7 8 7 6 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 2 12 29 47 66 86 97 109 126 148 165 160 152 165 181 168 161 171 182 189 193 196 198 201 203 202 197 194 194 196 197 197 196 193 184 175 169 160 153 150 147 148 153 159 165 167 166 156 157 150 137 123 108 94 84 74
5 6 8 11 13 14 15 15 15 14 12 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 7 6 6 5 4 2 1 0 0 0 0 0 0 1 2 2 3 5 6 6 6 6 6 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 3 14 31 45 62 81 96 109 123 137 153 158 146 147 161 169 170 166 165 171 179 186 192 201 211 217 202 190 192 194 195 196 200 202 197 188 184 179 176 168 158 153 154 158 163 167 170 168 163 154 145 134 119 104 93 80
3 3 4 7 9 10 10 10 10 10 8 8 7 7 7 7 8 8 8 8 8 7 8 8 8 8 8 7 7 6 6 6 5 5 4 2 1 0 0 0 0 0 0 0 0 0 1 2 3 4 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 1 4 14 30 45 63 82 96 110 126 136 143 152 147 146 147 153 166 172 172 174 179 182 182 197 214 219 207 195 190 191 196 199 202 206 205 200 195 192 191 185 177 170 166 165 162 164 171 174 170 161 150 138 129 118 106 92
1 0 1 3 5 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 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 1 4 13 27 44 63 83 97 112 127 137 141 147 146 154 150 145 147 157 170 178 179 180 175 191 202 211 212 203 192 190 199 201 203 211 214 211 208 206 202 196 193 189 184 177 168 164 166 168 169 167 159 142 132 125 117 104
0 0 0 1 3 5 6 7 7 7 7 6 4 4 3 3 3 2 2 3 3 4 4 4 5 5 5 5 5 5 4 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 5 11 24 42 59 80 98 112 123 132 139 144 143 150 152 146 139 143 159 177 182 181 185 194 204 216 224 219 206 199 206 208 212 221 223 219 218 218 215 208 198 194 198 187 177 170 167 166 165 165 162 148 136 126 120 115
0 0 0 0 1 3 3 4 4 4 4 3 2 2 2 2 2 2 2 2 2 2 3 4 4 5 5 4 4 4 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 3 7 11 21 39 59 77 93 108 120 128 134 134 134 140 144 142 139 139 149 172 187 191 193 195 200 216 234 236 230 226 227 222 218 226 228 224 223 224 222 216 204 201 200 192 185 182 178 175 174 166 161 152 144 139 135 131
0 0 0 0 0 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 2 3 3 3 3 3 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 1 4 8 12 19 33 52 69 87 106 116 123 126 126 127 129 131 134 137 142 150 164 182 197 203 200 196 203 220 235 243 249 255 241 232 231 230 227 226 227 222 211 197 196 196 194 194 197 196 189 182 171 161 155 161 165 162 154
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 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 1 5 8 13 17 27 45 65 81 103 113 119 121 125 131 135 136 135 140 149 155 158 168 181 196 204 204 205 209 220 240 258 266 260 255 251 244 235 234 232 224 211 200 197 198 199 202 205 206 205 198 184 169 166 175 183 187 183
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 13 17 22 36 62 79 96 109 117 123 130 137 141 143 144 144 147 152 153 157 163 179 201 211 208 206 213 238 261 274 280 282 279 267 250 248 240 234 225 218 213 209 208 210 211 213 218 211 199 184 172 174 185 205 210
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 14 17 20 28 51 74 95 111 121 128 134 139 144 148 150 148 145 147 151 155 161 172 193 213 214 218 225 245 266 282 292 294 284 266 261 262 265 256 243 233 226 223 219 219 222 221 223 217 209 200 189 182 184 208 222
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 18 19 23 42 71 95 115 128 134 139 143 149 154 153 153 151 151 154 161 170 182 198 217 229 235 245 257 272 290 303 298 279 259 258 270 287 278 252 241 234 224 221 229 229 231 234 235 231 225 214 199 193 208 227
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 20 22 22 24 34 60 87 110 128 138 144 149 153 151 156 161 162 163 167 172 179 195 212 224 235 248 261 269 275 291 297 294 274 260 258 272 294 297 276 255 234 216 227 242 247 252 257 253 239 240 233 218 207 210 227
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 22 27 30 29 33 56 84 109 129 142 148 154 160 162 168 172 175 178 183 186 190 199 210 227 245 258 267 275 274 284 293 291 285 279 275 284 304 321 330 306 270 254 253 255 255 258 268 279 251 245 237 229 222 216 222
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 23 28 33 34 37 55 85 115 133 143 149 161 170 176 180 182 184 187 191 195 203 206 211 233 263 278 273 273 269 270 274 274 286 297 302 309 317 329 363 358 320 292 275 265 259 254 255 277 276 266 246 236 235 230 230
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 24 29 34 38 40 50 76 116 137 147 157 168 178 187 195 197 196 195 193 201 216 224 222 236 270 290 286 278 264 258 265 281 308 331 337 337 335 333 351 357 339 312 290 278 273 263 258 265 275 283 269 246 242 245 250
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 24 30 37 42 45 49 67 115 144 158 168 179 192 204 212 216 213 208 204 211 224 239 243 245 264 278 286 289 276 267 273 300 337 362 372 368 359 356 357 346 330 320 310 295 291 286 278 273 274 288 292 268 258 261 258
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 16 22 31 39 47 52 56 64 108 148 170 182 194 211 228 237 239 236 227 217 214 222 238 253 260 263 264 279 297 297 291 294 312 342 375 390 381 370 354 331 311 308 311 313 301 296 296 297 291 282 284 295 293 278 270 261
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 21 30 40 49 56 63 68 99 145 178 198 214 233 251 262 264 263 255 240 228 228 237 251 267 280 274 282 295 308 320 326 326 348 371 373 365 360 352 344 341 322 308 298 289 291 299 303 296 285 285 293 303 294 269 248
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