Vorticity
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nan 11 10 9 8 6 4 4 3 3 2 2 2 2 3 3 3 3 3 2 1 1 2 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 9 11 13 14 14 14 11 7 6 6 5 5 5 4 4 5 6 6 6 5 5 6 6 5 1 -1 -1 2 4 6 8 8 7 6 6 6 6 6 7 7 7 6 6 7 8 9 9 10 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 nan
nan 11 10 9 7 6 5 4 3 3 3 2 2 2 3 3 3 3 3 2 2 1 2 2 3 2 2 3 3 3 3 3 3 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 9 10 12 14 14 13 11 8 7 6 5 5 4 4 4 5 6 7 7 6 5 6 6 6 5 2 0 0 2 3 5 7 7 7 6 6 5 5 5 6 6 6 6 6 7 7 8 9 9 9 8 8 7 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 nan
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nan 9 8 7 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 10 12 14 14 10 6 6 7 8 7 6 5 6 6 7 7 7 7 6 6 6 7 6 3 -1 -3 -2 1 3 4 5 6 6 6 6 6 5 5 5 5 6 6 6 6 6 7 7 7 8 8 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 nan
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nan 7 7 7 7 7 7 8 10 11 9 8 8 7 7 7 7 8 8 8 9 8 8 7 6 7 8 8 8 8 8 7 7 6 5 5 6 7 8 8 8 9 8 7 7 7 8 9 9 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 7 8 9 9 9 9 9 9 9 9 8 8 7 6 7 7 8 8 8 7 6 6 5 3 0 -2 -1 0 1 3 4 4 2 1 1 2 4 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 10 nan
nan 8 8 8 8 8 8 9 11 11 9 8 8 7 7 7 7 8 8 9 9 10 9 8 7 7 7 8 8 8 8 8 8 7 6 5 5 6 7 7 8 8 8 7 7 8 8 9 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 7 6 6 7 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 7 6 6 5 4 3 2 2 2 3 5 4 1 -1 -2 -0 2 4 5 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 11 11 nan
nan 8 8 8 8 8 8 9 10 10 9 8 8 8 8 8 8 8 8 9 9 10 10 9 8 7 8 8 8 9 9 8 8 7 6 5 5 5 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 8 8 8 7 6 6 7 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 6 5 5 5 5 5 5 7 5 1 -3 -5 -4 -0 2 4 5 6 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 10 10 10 10 11 11 12 12 12 nan
nan 7 8 8 8 8 8 9 11 10 9 8 8 8 8 8 8 8 8 8 9 9 10 9 8 8 8 8 8 9 9 9 8 7 7 6 5 5 6 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 7 8 8 9 9 9 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 7 7 8 6 3 -3 -7 -6 -2 0 2 4 5 6 6 6 7 7 7 7 7 7 7 8 8 9 9 10 10 10 11 11 12 12 13 13 13 13 nan
nan 7 7 7 7 7 9 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 10 9 9 8 8 7 7 6 7 7 8 8 8 9 9 10 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 7 5 5 7 8 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 7 7 8 7 7 7 7 5 -0 -5 -5 -3 -1 0 2 4 5 6 6 6 7 7 7 7 7 7 8 9 9 10 10 11 11 12 13 13 14 14 14 14 13 nan
nan 7 6 6 7 8 9 11 11 10 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 10 10 10 10 8 7 7 7 7 8 9 10 10 10 10 9 9 9 9 10 10 10 9 8 7 6 6 6 6 7 7 8 8 6 5 5 7 9 10 9 9 7 6 6 7 7 8 8 8 7 8 8 8 8 7 7 7 8 8 7 7 7 7 8 8 7 7 7 7 6 3 0 -2 -3 -3 -1 0 2 4 5 5 6 7 7 7 7 7 7 8 8 9 10 11 12 13 13 14 14 14 14 14 13 12 nan
nan 6 6 6 7 9 9 10 10 9 9 9 8 8 8 8 8 7 7 7 6 7 8 8 8 8 8 8 7 7 8 10 11 11 10 9 7 7 7 7 8 9 10 10 10 10 10 9 9 10 10 11 11 10 9 7 6 6 7 6 6 6 7 8 6 5 5 7 9 10 9 8 7 6 6 7 7 8 8 7 7 7 8 8 7 7 7 7 8 8 8 7 7 8 8 8 7 7 6 6 6 6 5 3 0 -2 -2 -2 -0 2 3 5 6 6 6 6 6 6 7 8 8 9 10 11 12 13 14 14 14 14 13 13 12 11 nan
nan 7 7 7 8 9 9 8 8 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 7 6 6 8 9 10 10 9 8 7 7 7 8 9 10 10 10 10 10 9 10 10 11 11 11 10 9 9 9 8 8 7 7 8 8 8 6 5 6 8 9 10 9 8 7 6 6 7 8 8 8 7 6 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 6 4 2 0 -2 -2 -0 2 4 6 6 6 5 5 6 6 7 8 9 11 11 12 13 13 13 12 12 11 10 9 9 nan
nan 7 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 8 8 8 9 10 10 10 10 9 7 6 6 7 8 9 8 7 7 7 7 8 10 11 10 10 10 9 9 9 11 12 11 11 10 10 10 10 9 9 9 9 9 9 7 5 5 7 9 9 9 8 7 6 6 6 7 8 8 7 6 6 6 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 8 8 7 7 6 4 1 -1 -1 1 5 7 8 6 5 4 4 5 7 8 9 10 11 11 11 11 10 9 9 8 8 7 7 nan
nan 8 8 9 9 8 8 7 8 7 7 6 6 6 6 6 7 7 7 8 8 8 8 9 10 10 10 11 10 9 7 6 5 6 7 7 6 6 6 7 8 10 11 10 9 8 8 8 9 10 11 11 11 11 10 10 10 10 10 10 9 8 6 4 3 5 8 9 9 9 8 7 6 6 6 7 8 8 7 6 6 6 6 6 6 7 8 8 8 7 7 8 8 8 8 8 8 7 7 7 7 8 7 7 7 7 6 4 2 1 3 6 9 9 6 3 1 1 4 7 9 9 10 10 10 9 8 7 6 6 5 5 5 6 nan
nan 9 9 8 8 8 7 8 8 7 6 6 6 6 6 6 7 8 8 8 8 8 9 9 10 10 11 11 11 10 8 7 6 6 6 6 6 6 7 7 8 10 10 10 9 8 8 8 8 9 10 10 10 10 10 10 11 12 12 11 10 7 3 0 2 6 8 9 9 8 8 7 6 6 7 8 8 7 6 6 6 7 7 6 6 6 7 7 7 7 8 8 8 8 8 8 7 7 7 6 7 7 7 7 7 6 6 6 5 5 6 8 10 10 5 -1 -6 -4 3 7 8 9 9 9 8 7 5 4 4 4 4 4 5 6 nan
nan 9 9 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 8 9 9 9 10 11 11 10 9 8 8 7 7 7 7 7 7 7 8 9 9 10 9 9 9 8 8 8 8 8 9 9 10 11 12 13 13 12 10 5 0 -1 2 6 8 10 9 8 7 7 6 6 7 8 8 7 6 7 7 8 7 6 6 6 6 6 6 7 8 8 9 9 8 8 7 6 6 7 7 7 7 7 7 6 6 6 6 7 7 8 8 7 1 -7 -12 -6 2 6 8 9 9 8 7 5 4 3 3 4 4 5 6 6 nan
nan 9 9 8 8 8 8 8 8 9 9 9 8 7 6 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 8 8 7 7 8 9 9 9 10 10 10 9 9 8 7 7 8 9 11 12 13 13 11 8 3 -1 -0 3 7 10 10 9 7 7 6 6 7 8 8 7 7 7 8 8 8 7 7 6 6 6 5 6 7 8 9 9 9 9 8 7 7 7 7 7 7 8 7 7 6 6 6 6 7 7 8 7 3 -4 -12 -12 -3 3 7 8 8 8 7 5 4 4 4 5 5 6 6 6 6 nan
nan 9 9 8 7 8 8 8 8 8 10 10 9 8 7 6 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 11 10 10 10 10 9 9 8 7 7 7 8 9 9 10 11 12 11 9 8 7 7 8 9 9 10 11 10 9 5 1 -1 1 6 10 12 11 8 7 6 6 6 7 7 7 6 7 8 9 9 8 8 7 7 6 6 6 6 7 8 9 9 9 9 9 8 7 7 7 8 8 8 8 7 6 6 6 6 6 7 8 6 1 -7 -12 -6 2 7 8 8 7 7 6 5 4 5 5 6 7 7 7 7 6 nan
nan 9 8 8 8 8 8 7 7 8 10 10 10 8 7 6 6 6 6 6 7 7 7 7 8 8 8 8 8 9 10 11 11 10 10 10 10 9 8 8 7 7 7 8 8 9 10 11 12 11 9 8 8 8 8 8 8 9 8 6 2 0 1 5 10 14 14 12 9 6 5 5 6 7 7 6 6 8 9 9 9 9 9 9 8 6 6 6 7 7 8 9 9 9 9 8 8 7 7 7 8 8 8 8 8 7 6 6 6 6 7 7 5 -1 -7 -6 2 9 11 10 7 6 5 4 4 4 5 7 8 8 8 8 7 6 nan
nan 9 9 8 8 8 8 7 7 8 9 10 10 9 8 7 6 5 5 6 7 7 7 7 7 8 8 8 9 9 9 10 10 9 9 9 9 9 9 8 7 7 7 7 8 8 8 9 11 11 11 11 10 9 8 7 7 7 7 5 3 3 5 9 14 16 15 12 9 6 6 6 7 7 7 7 7 7 8 8 8 9 9 9 7 6 6 7 7 8 8 9 9 8 8 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 7 6 5 1 -1 4 11 15 14 10 7 5 4 3 3 4 6 7 8 9 8 7 7 6 nan
nan 9 9 8 8 8 8 8 8 8 9 10 10 9 8 7 6 6 6 6 6 7 7 7 7 7 7 8 9 9 8 7 7 8 8 8 8 8 9 9 8 7 7 7 8 8 7 7 9 10 10 10 11 11 9 7 7 7 7 6 5 6 8 12 15 15 14 10 8 7 7 8 9 9 8 7 6 6 6 7 8 8 9 8 6 6 7 8 8 8 8 9 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 6 7 7 6 7 12 16 17 13 9 6 3 1 1 2 4 6 8 8 8 8 7 6 5 nan
nan 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 6 6 6 7 7 7 6 6 7 8 9 8 7 5 5 6 6 7 7 8 9 10 9 8 7 7 9 9 7 7 7 8 9 8 10 11 10 8 7 7 7 7 7 8 10 12 13 12 10 7 7 8 9 10 10 10 8 7 5 5 6 7 8 8 7 6 6 6 7 8 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 6 7 7 8 8 9 12 13 12 11 8 5 1 -2 -2 -0 4 6 8 8 8 7 6 6 5 nan
nan 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 7 7 6 6 7 8 8 7 7 7 8 8 8 7 6 6 6 6 6 7 8 10 11 10 9 8 9 10 10 9 8 8 8 7 7 7 8 8 8 7 7 7 7 7 8 10 11 10 9 7 7 8 9 10 9 9 9 8 7 6 6 7 8 7 7 6 5 5 6 8 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 7 3 -2 -6 -6 -1 4 6 8 8 8 7 6 6 5 nan
nan 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 8 8 9 8 8 8 8 8 8 8 8 8 7 7 8 10 10 10 10 10 10 10 10 10 9 8 7 6 5 6 6 6 7 7 7 7 6 7 8 9 9 9 8 7 8 10 11 10 9 9 9 8 6 6 6 8 8 7 6 5 5 5 6 8 9 9 9 8 7 6 6 6 7 8 9 9 8 8 8 8 8 7 7 8 8 8 8 7 7 8 8 9 8 7 6 5 3 -1 -5 -10 -8 -0 4 6 7 8 7 7 6 6 6 nan
nan 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 7 8 9 10 10 10 9 9 9 8 9 10 10 9 8 7 8 9 10 10 11 10 10 10 10 9 8 6 6 6 6 6 6 7 7 7 6 6 6 7 8 9 9 8 8 9 10 10 9 9 9 9 8 7 7 8 8 7 6 5 5 6 6 7 8 8 8 8 7 6 6 6 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 8 4 1 -2 -4 -5 -9 -12 -7 0 4 6 7 7 7 7 6 6 6 nan
nan 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 10 10 10 9 9 8 8 9 10 11 10 8 7 7 7 8 10 11 11 10 9 8 8 7 7 7 7 7 6 6 6 7 7 7 5 4 4 6 7 8 8 7 8 8 8 8 8 8 8 8 8 9 9 8 7 6 5 6 7 7 8 9 8 8 7 6 6 6 7 8 9 9 9 8 8 7 7 8 8 8 8 9 9 8 8 7 7 8 9 9 6 3 0 -2 -4 -5 -8 -7 -2 3 5 7 7 7 7 7 6 6 6 nan
nan 8 8 8 9 9 8 8 7 7 8 9 9 9 9 7 7 7 7 7 8 8 7 7 8 8 9 9 9 9 8 8 9 9 10 9 8 7 6 6 7 9 10 10 10 9 8 7 8 9 9 9 8 7 6 6 7 8 8 6 4 2 3 5 6 7 7 7 7 6 6 7 7 8 8 9 9 9 8 7 5 6 7 8 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 9 9 10 9 8 8 7 8 8 9 8 7 7 6 4 2 -1 -2 -1 2 4 6 7 7 7 7 7 6 6 5 nan
nan 8 8 8 8 9 8 8 7 7 8 8 10 10 9 7 6 6 6 7 8 8 7 7 7 7 7 8 9 10 10 10 10 9 9 7 6 6 6 6 7 8 8 9 9 9 8 8 9 10 10 10 10 9 8 8 9 9 9 8 6 4 4 5 6 6 6 7 6 5 5 5 6 7 7 8 8 8 7 6 6 7 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 9 10 10 9 8 8 8 8 9 9 9 9 9 9 8 6 2 -1 -1 1 4 6 7 7 7 7 6 6 5 5 nan
nan 8 8 8 8 8 8 8 7 7 8 8 9 9 8 7 6 6 6 7 8 8 8 8 7 7 7 9 11 12 12 12 11 10 9 7 6 6 6 6 6 7 7 8 8 8 8 8 9 10 10 11 11 11 11 11 11 12 11 11 10 9 8 7 6 6 6 6 5 5 5 6 6 6 7 7 7 6 6 6 6 8 9 10 9 9 8 8 8 8 8 9 9 8 8 7 7 7 8 8 8 8 8 9 9 10 10 9 9 8 8 8 9 9 10 10 10 10 8 4 -1 -4 -3 1 4 6 7 7 7 7 6 5 5 5 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
371 316 301 302 302 295 274 242 214 193 180 174 170 164 153 143 131 113 105 100 94 61 34 32 48 61 65 67 75 90 83 91 96 101 112 124 132 139 151 162 164 157 161 164 179 202 219 242 271 293 311 325 339 329 323 298 259 224 203 200 225 251 226 141 91 69 70 67 47 34 27 22 15 6 0 0 0 0 0 0 0 0 0 4 13 18 15 21 27 23 24 30 28 25 27 31 34 35 35 36 39 45 55 81 125 178 214 202 156 116 77 59 56 56 57 56 54 53 52 51 50 48 49 48 49 52 54 56 57 54 50 47 49 54 61
454 367 336 334 334 320 291 264 241 223 210 202 196 189 179 168 153 134 127 135 131 100 65 55 73 91 95 81 81 96 105 104 106 109 118 125 125 127 136 145 164 151 163 187 201 221 240 259 279 304 347 392 418 424 405 391 355 322 309 316 310 268 224 129 91 74 66 58 42 32 25 18 12 4 1 0 0 0 0 0 0 0 0 4 11 12 7 11 20 19 21 27 29 28 31 36 40 42 41 41 43 47 51 64 98 155 216 252 243 201 146 112 85 75 74 70 69 67 58 57 57 55 56 56 56 57 58 61 65 69 68 60 57 62 65
500 408 381 381 370 344 313 288 269 253 241 232 225 220 210 192 176 167 157 165 177 156 111 90 113 134 132 110 91 92 109 111 110 105 103 107 113 118 128 141 147 139 161 192 212 226 242 258 276 298 339 395 447 489 499 495 475 452 437 416 370 294 189 117 92 80 76 67 47 32 24 13 6 1 0 0 0 0 0 0 0 0 0 1 5 6 0 2 8 12 15 19 23 26 28 32 40 42 44 46 50 56 58 62 85 135 205 275 311 290 250 205 164 139 123 111 107 98 67 63 62 63 64 66 65 63 65 73 89 100 98 86 89 101 102
543 453 428 425 407 378 347 319 301 289 280 273 268 264 251 226 206 200 196 198 212 218 184 136 141 151 169 162 123 109 116 122 117 105 99 107 115 106 109 132 127 135 169 205 217 220 235 262 286 300 323 351 400 476 532 566 579 580 555 492 422 315 198 136 105 83 75 67 47 28 19 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 7 10 12 15 21 24 27 35 41 47 52 64 77 82 87 120 182 257 316 332 319 281 237 206 184 167 159 139 113 95 87 90 86 92 94 93 98 106 112 115 123 116 125 141 147
578 496 464 457 433 408 381 354 337 329 323 322 323 316 297 269 246 244 251 251 269 313 316 262 250 270 296 264 213 201 179 166 143 113 116 138 142 111 114 135 136 146 181 212 214 208 226 260 291 314 326 331 365 428 499 568 620 639 615 547 481 384 275 187 138 101 75 57 38 20 13 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 9 10 16 21 25 31 40 48 64 86 98 103 117 153 213 279 322 339 330 307 275 240 206 196 179 169 156 144 134 129 130 136 141 137 131 129 133 143 141 144 152 160
578 505 481 487 451 432 409 387 373 367 366 368 370 361 346 322 306 308 325 347 386 421 427 416 398 406 439 407 352 283 242 245 236 221 244 248 188 164 160 149 147 165 193 213 211 205 220 248 283 315 341 363 395 419 462 514 544 554 558 546 512 455 353 248 179 129 89 58 35 18 12 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 10 12 13 18 26 36 50 74 96 110 117 139 178 232 287 328 342 337 322 291 251 230 214 204 186 177 168 156 155 169 174 149 131 130 134 143 152 155 158 166
615 513 460 514 480 467 457 438 419 409 412 419 420 414 411 397 396 398 418 433 457 493 487 475 485 488 533 523 442 322 281 295 289 270 263 235 208 192 162 140 156 184 204 216 219 215 223 236 261 287 320 365 403 426 435 436 428 421 442 504 492 456 373 278 201 146 102 66 39 19 12 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 8 1 7 16 15 14 14 20 33 51 67 82 103 119 138 165 204 254 303 331 333 333 323 305 283 260 240 215 196 185 178 178 186 179 158 136 120 110 119 143 152 155 159
717 586 516 540 518 498 483 468 454 451 462 475 477 489 494 491 499 506 503 497 504 512 494 494 542 555 588 543 436 332 294 290 252 205 219 241 199 185 169 166 181 194 204 215 218 221 243 241 242 257 287 326 365 389 391 377 361 350 370 439 439 417 363 300 240 179 122 80 47 25 15 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 17 30 28 29 35 37 36 31 26 28 39 44 52 64 86 111 136 160 194 241 281 312 328 340 342 342 329 318 308 281 241 218 213 200 192 184 170 150 130 109 99 115 126 124 120
851 731 636 573 536 506 491 495 502 511 530 555 572 585 579 569 557 539 521 511 501 497 518 492 496 485 471 416 345 287 259 248 215 140 166 227 217 228 238 224 201 194 206 220 229 215 257 260 235 238 263 290 312 328 334 338 337 349 350 365 358 344 328 311 271 209 154 102 64 39 19 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 24 39 57 70 69 74 77 73 66 60 53 49 58 51 47 52 69 97 126 155 193 242 286 320 340 357 364 373 375 375 374 367 348 314 305 263 227 203 179 157 147 138 118 111 111 105 95
962 881 761 631 572 564 555 529 532 586 616 645 663 657 632 600 568 539 517 494 465 448 420 409 386 347 313 267 228 201 177 169 197 134 164 203 231 252 252 225 199 204 228 245 262 241 257 264 272 279 275 267 268 275 281 307 317 342 331 312 291 264 257 259 222 177 158 109 72 45 27 10 1 0 0 0 0 0 0 0 0 0 0 2 7 17 29 41 60 74 112 147 164 169 170 154 120 103 88 80 86 79 64 58 66 86 117 155 202 259 314 357 375 389 396 406 419 423 412 431 475 443 416 370 318 264 212 175 159 153 144 139 124 117 113
1086 1054 928 703 617 630 598 532 548 647 698 722 717 684 637 591 552 522 493 462 438 421 387 329 280 224 186 176 169 158 148 137 163 158 188 206 223 251 266 264 264 272 286 283 293 283 272 272 268 250 238 234 220 230 255 283 292 288 276 287 271 228 206 190 159 143 131 86 52 35 28 15 3 0 0 0 0 0 0 0 0 0 0 5 21 47 76 91 127 144 200 274 315 303 269 247 208 168 133 120 123 111 95 89 91 103 127 163 216 276 333 392 426 442 446 446 452 462 444 461 489 493 495 485 448 384 315 247 199 183 171 158 139 130 131
1235 1179 1058 813 699 710 698 638 632 701 745 741 701 651 596 550 513 480 452 427 399 372 308 245 212 182 172 183 186 177 174 144 151 192 238 269 283 300 309 316 329 332 337 325 327 322 313 298 281 262 244 232 214 226 254 294 309 289 248 263 265 211 177 156 136 109 84 50 33 27 24 16 5 0 0 0 0 0 0 0 0 0 1 9 38 91 147 178 222 259 320 404 462 452 399 356 321 260 202 173 172 153 126 117 121 130 148 174 229 288 348 411 465 497 512 511 505 506 491 488 492 511 552 587 580 527 450 370 309 270 237 196 163 152 156
1320 1223 1125 961 829 788 772 724 701 733 732 690 631 579 532 489 453 424 395 362 340 306 242 197 200 211 206 192 186 184 182 177 222 247 280 322 351 365 377 392 396 377 371 374 381 376 366 335 310 293 274 276 267 266 290 308 332 325 283 260 248 212 166 130 114 82 60 43 31 24 20 13 2 0 0 0 1 0 0 0 0 0 4 23 61 134 216 279 329 375 428 500 574 598 570 514 456 387 318 275 263 260 252 221 195 208 203 210 260 321 380 434 484 537 582 594 587 581 572 551 523 528 570 623 653 645 583 488 417 390 344 275 219 196 192
1245 1272 1221 1084 937 826 748 705 705 710 677 619 558 509 469 430 397 371 338 296 275 259 259 241 240 243 222 192 177 174 180 223 266 295 336 373 411 434 441 446 437 414 414 421 438 434 412 376 343 323 308 289 272 255 294 288 291 283 266 263 259 221 114 87 76 56 42 34 26 17 12 6 0 0 0 0 0 0 1 0 0 2 11 35 101 201 306 391 450 498 549 608 677 707 696 659 604 538 467 416 395 388 383 377 358 353 324 314 333 368 413 457 495 563 622 660 680 679 664 647 618 587 580 601 663 703 689 613 548 501 443 365 297 300 273
996 1017 977 939 886 785 680 641 668 649 609 555 500 452 410 376 351 337 320 280 274 274 276 269 261 233 202 190 190 216 187 274 340 382 418 443 459 470 478 479 473 443 439 451 475 475 452 420 385 349 309 298 282 254 279 282 261 225 202 219 240 227 126 86 72 53 42 39 34 23 14 13 2 0 0 0 0 0 0 0 2 11 41 97 186 297 425 524 582 625 673 722 767 772 783 762 722 672 621 576 544 524 524 555 532 508 482 455 429 423 457 507 549 613 669 717 767 781 768 753 734 697 653 599 645 688 717 706 656 587 513 442 365 375 355
700 681 674 709 724 679 630 602 603 560 515 465 423 392 364 338 319 307 307 297 286 275 263 250 232 208 184 171 206 288 236 301 385 445 477 491 498 503 507 510 504 469 454 462 473 474 463 437 402 363 303 298 282 265 254 248 239 215 184 186 196 139 88 77 66 51 37 32 35 30 12 6 1 0 0 0 0 0 0 1 10 33 86 167 273 387 522 631 691 729 763 793 898 850 827 814 783 752 731 706 682 649 653 647 638 627 608 581 545 517 551 600 638 688 751 795 835 855 848 829 804 787 768 682 670 689 728 764 762 694 588 518 458 428 408
469 426 423 471 521 538 546 521 463 412 381 349 319 320 333 330 320 310 301 277 257 242 227 215 194 177 184 180 218 307 319 374 447 508 543 551 543 533 527 524 499 468 461 455 442 430 422 415 393 363 317 297 278 257 236 215 201 193 167 163 118 60 33 27 30 28 20 15 16 14 3 0 0 0 0 0 0 0 1 5 24 72 142 257 364 479 603 709 778 813 850 852 953 939 912 864 814 790 770 762 754 737 741 747 732 719 707 685 658 626 645 686 717 753 818 861 880 888 883 883 846 816 811 776 755 763 781 805 848 794 691 638 609 573 530
278 237 237 263 296 337 377 364 291 266 266 271 271 285 310 318 313 299 276 241 220 212 193 179 169 161 189 214 252 331 392 439 488 541 587 607 595 581 568 544 522 514 510 490 464 443 428 408 386 361 329 305 282 254 229 205 179 149 101 67 37 18 9 8 11 11 6 3 1 0 0 0 0 0 0 0 0 0 3 18 43 128 223 332 449 576 699 803 885 901 933 916 930 939 926 870 821 814 772 775 782 773 765 767 748 732 732 720 704 681 678 715 740 767 818 873 909 917 911 946 904 871 868 861 850 862 890 904 916 882 817 767 767 763 720
165 148 143 143 145 169 222 242 205 204 232 254 266 291 318 313 310 289 241 201 187 191 174 162 170 188 214 250 298 360 431 484 520 551 585 608 609 610 637 631 622 616 601 572 531 492 465 424 389 366 342 309 276 241 209 184 161 107 53 25 12 5 2 0 3 5 2 0 0 0 0 0 0 0 0 0 0 1 7 36 85 186 300 412 530 665 799 898 987 1000 1008 981 949 929 914 885 832 814 777 765 756 739 712 702 696 679 682 678 673 665 632 646 681 719 769 830 893 923 924 958 953 958 980 974 941 950 979 1003 999 968 904 872 888 909 897
104 100 101 98 90 94 141 182 166 175 221 250 276 307 307 285 262 226 218 195 171 159 178 192 186 216 248 293 335 358 427 477 496 522 564 593 626 703 732 689 659 645 621 575 516 461 430 393 359 335 303 275 240 203 176 154 123 65 33 20 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 17 61 146 257 371 494 626 746 877 965 1019 1045 1057 1044 1026 1006 974 952 900 855 834 799 749 717 685 646 639 639 634 616 590 594 572 562 585 623 669 726 805 854 864 892 935 970 1007 1024 1013 1016 1032 1059 1078 1081 1050 1020 1019 1033 1042
44 56 66 69 65 58 98 135 179 196 218 251 276 270 251 250 201 227 176 183 193 186 187 204 218 250 267 312 334 328 377 409 420 471 559 634 726 751 707 647 609 582 534 466 403 353 335 313 286 249 227 210 186 160 140 121 70 37 21 14 8 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 6 35 94 191 314 433 546 699 863 930 995 1030 1055 1082 1096 1096 1097 1078 1058 1019 998 971 930 883 832 757 674 636 627 623 601 549 527 523 511 493 501 547 601 676 732 752 757 771 812 884 938 978 1017 1032 1041 1091 1146 1169 1170 1156 1143 1151
15 22 33 43 51 50 81 131 209 221 207 219 239 242 242 231 226 205 210 206 211 222 233 243 254 270 286 325 343 322 353 418 463 496 576 694 758 652 613 571 526 474 410 346 291 249 255 242 224 191 160 142 133 123 97 72 34 22 13 9 7 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 1 14 52 119 225 358 483 597 732 863 959 1016 1050 1073 1102 1129 1144 1159 1168 1158 1143 1137 1111 1069 1017 959 893 811 732 690 668 646 602 559 544 551 512 467 491 523 548 602 656 681 681 675 739 798 839 925 956 962 1011 1088 1158 1237 1256 1234 1244
18 16 21 27 38 57 84 147 215 203 184 195 208 235 276 240 260 243 231 243 251 253 259 255 265 279 306 341 354 350 410 538 617 576 642 737 698 625 562 502 448 397 338 272 215 175 165 166 166 155 139 124 113 105 62 36 25 17 11 8 5 2 3 1 1 0 0 0 0 0 0 0 0 0 0 0 3 20 68 148 262 394 504 629 784 910 990 1035 1063 1086 1106 1128 1150 1176 1205 1210 1222 1211 1189 1158 1115 1060 989 967 910 825 770 731 693 650 608 617 609 570 548 547 522 546 616 643 639 647 688 728 755 833 881 877 887 960 1035 1178 1205 1234 1261
42 27 18 11 19 49 85 143 196 188 185 216 230 243 290 296 297 292 285 276 264 269 294 284 267 304 327 362 396 427 504 625 729 857 812 712 619 546 490 445 399 343 275 204 159 135 125 125 128 132 134 131 118 104 66 40 26 19 13 10 8 3 2 0 0 0 0 0 0 0 0 0 0 0 0 1 8 32 86 174 291 417 520 651 817 931 1001 1036 1053 1063 1066 1074 1104 1177 1219 1222 1241 1246 1223 1186 1149 1103 1025 987 955 918 876 831 794 765 709 686 685 663 637 633 611 593 628 645 647 655 692 737 784 846 880 866 878 974 971 1057 1117 1191 1269
38 23 11 4 8 33 70 117 156 176 199 234 264 294 308 300 296 298 296 277 259 269 290 293 317 335 365 414 489 532 563 633 653 679 661 587 506 440 403 382 345 278 217 173 143 126 120 121 124 123 122 122 113 97 78 58 43 34 26 20 14 8 3 1 1 1 1 0 0 0 0 0 0 0 0 2 14 46 104 189 300 423 536 687 824 923 979 1002 1008 1005 1005 976 1009 1061 1117 1158 1183 1195 1186 1143 1117 1083 1045 1013 987 960 928 892 860 839 803 779 784 754 725 727 732 710 683 661 657 667 704 749 810 884 952 1038 1123 1075 1047 1065 1102 1148 1211
15 9 4 3 3 15 41 86 139 173 189 203 207 210 229 208 179 182 210 213 203 232 279 335 348 385 420 445 479 505 529 569 564 559 510 411 362 341 322 303 280 234 200 175 148 130 121 121 118 105 95 97 95 87 78 67 58 47 34 27 19 10 3 3 3 3 2 1 0 0 0 0 0 0 0 3 19 54 116 206 316 446 524 664 780 854 897 912 912 901 905 871 890 943 998 1031 1044 1048 1045 1015 1005 994 978 962 949 938 925 901 877 852 827 805 829 831 804 795 818 836 817 774 762 754 762 784 810 843 915 1062 1152 1188 1242 1294 1313 1293 1232
7 5 3 2 1 3 14 41 72 98 117 118 94 68 47 54 50 50 41 44 85 153 254 363 352 429 444 434 449 472 470 459 433 404 353 266 231 222 212 207 205 191 177 159 132 108 102 96 82 81 91 94 87 73 63 49 37 28 21 20 20 14 5 3 3 3 2 1 0 0 1 0 0 0 0 6 24 63 130 204 319 418 507 588 645 690 725 746 751 739 738 721 735 775 812 828 828 828 832 826 820 832 825 825 841 851 871 879 867 833 821 805 807 818 814 814 839 877 883 880 877 881 905 919 904 875 892 957 1052 1216 1399 1513 1551 1478 1393
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