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 7 6 5 4 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 11 13 14 13 12 11 9 7 6 5 5 4 4 3 3 4 4 4 4 5 6 7 7 6 4 2 1 1 1 2 2 4 5 7 8 8 8 7 7 8 8 9 9 9 8 7 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 nan
nan 7 6 5 3 3 2 2 2 2 2 2 2 2 2 2 3 3 3 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 10 13 15 14 12 10 9 8 7 6 6 6 5 5 5 4 4 4 4 4 5 6 7 7 6 5 3 2 1 1 1 2 3 4 6 7 7 7 7 7 7 8 8 8 8 8 7 6 6 5 5 5 5 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 nan
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nan 8 8 7 7 7 7 8 10 10 10 9 8 8 7 7 7 7 7 8 8 9 8 7 7 8 8 8 8 7 7 7 8 8 8 8 7 6 6 7 7 7 7 6 6 7 8 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 8 7 6 6 7 7 7 8 8 9 10 10 10 9 8 8 8 8 7 7 7 7 7 7 7 5 2 -1 -1 -1 -1 0 2 3 2 1 1 2 4 5 6 6 5 5 4 4 4 4 4 4 5 5 5 6 6 7 7 7 8 8 9 10 10 11 11 10 10 10 nan
nan 8 7 7 7 7 7 9 10 11 10 9 8 8 7 7 7 7 8 8 9 9 9 8 7 7 8 8 8 8 8 7 7 8 8 7 6 6 5 5 6 7 7 7 7 7 8 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 8 7 6 6 7 7 7 8 8 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 7 5 4 2 1 1 2 5 5 3 -0 -2 -1 2 4 5 4 4 4 4 4 4 4 4 4 5 5 6 6 6 7 7 8 8 9 10 10 11 11 11 11 10 10 nan
nan 7 7 8 8 8 8 9 10 10 9 8 8 8 7 7 7 8 8 8 9 9 9 8 8 7 8 8 9 9 8 8 7 7 7 7 6 6 5 5 5 6 6 7 7 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 9 8 7 7 6 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 8 9 9 7 6 6 6 5 4 4 5 8 7 3 -1 -5 -4 -1 2 3 3 3 3 3 3 4 4 4 5 5 5 6 6 7 7 7 8 9 9 10 11 11 11 11 11 10 10 nan
nan 7 7 8 8 7 8 9 10 10 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 8 7 6 5 5 5 6 7 9 10 10 10 9 9 8 8 9 8 8 9 9 9 9 8 8 8 9 9 8 8 8 8 8 7 8 8 9 9 9 9 9 9 8 8 7 7 8 7 7 7 7 8 9 8 7 7 7 7 6 6 7 8 8 7 4 -2 -6 -7 -4 -2 0 1 2 2 3 3 4 4 4 5 5 5 5 6 7 7 8 9 9 10 11 11 11 11 11 11 10 10 nan
nan 7 7 7 7 7 8 10 11 10 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 9 10 10 9 8 7 6 6 7 8 10 10 10 10 10 9 9 10 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 8 8 9 9 8 7 7 7 7 7 8 8 8 8 7 5 0 -5 -7 -6 -5 -3 -1 0 2 2 3 3 4 4 4 5 5 5 6 7 8 8 9 10 11 11 11 11 11 11 11 10 10 nan
nan 7 6 6 6 7 9 10 11 10 9 9 9 8 8 8 8 8 7 7 6 6 6 7 7 7 8 8 8 8 9 10 10 11 11 12 11 10 9 8 7 7 8 9 10 10 10 10 10 10 10 11 10 9 8 8 7 7 7 8 8 8 7 7 7 7 8 10 11 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 9 8 7 8 8 8 8 8 9 8 7 7 6 4 0 -3 -5 -6 -6 -4 -2 -0 1 2 3 3 4 4 4 5 5 6 7 8 9 10 11 12 12 12 12 11 11 11 10 10 nan
nan 7 6 6 7 8 9 10 10 10 9 9 9 8 8 8 8 7 7 6 5 6 6 7 7 8 8 9 8 7 8 9 11 12 12 11 10 9 9 8 8 8 9 10 10 10 10 10 10 10 10 11 10 10 9 8 7 7 8 8 8 7 7 7 7 7 8 10 11 11 11 10 9 9 9 9 10 9 8 7 7 8 9 9 10 11 11 10 9 8 8 9 8 8 8 9 8 8 7 7 7 6 5 3 -1 -4 -6 -6 -5 -3 -1 1 2 3 3 4 4 5 6 7 8 9 10 11 12 12 12 12 12 12 11 11 10 10 nan
nan 7 6 6 7 8 8 9 9 9 9 9 8 8 8 7 7 7 7 6 6 7 7 8 8 9 9 9 9 7 6 7 9 11 11 10 9 8 8 7 7 8 9 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 8 8 8 8 8 7 6 6 8 10 11 11 10 10 9 9 9 10 10 9 7 6 6 8 9 10 11 11 11 10 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 7 4 1 -2 -5 -6 -5 -3 -1 1 2 3 3 3 4 6 7 9 10 11 12 13 13 13 12 12 11 11 10 10 10 nan
nan 7 7 7 7 7 7 8 9 9 9 8 8 7 7 7 6 7 7 8 8 9 9 9 10 10 10 10 9 8 6 6 7 9 10 10 9 7 7 7 7 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 9 7 5 6 8 10 10 9 9 9 9 9 9 9 9 7 6 5 6 7 9 10 11 11 11 10 9 9 9 9 9 9 9 10 9 9 8 7 7 8 8 8 7 6 4 1 -3 -4 -3 -1 2 3 2 2 2 3 5 8 10 12 12 13 13 13 13 12 12 11 11 10 10 10 nan
nan 8 8 8 8 7 7 7 8 9 8 7 7 7 7 6 6 7 8 9 9 9 9 10 10 11 11 11 11 9 7 6 6 8 9 9 8 7 6 6 7 9 10 10 9 8 8 8 9 9 10 10 10 10 10 10 9 9 8 7 7 8 7 6 5 6 8 9 9 8 8 8 8 8 8 8 7 6 4 5 6 7 8 9 9 9 9 9 9 9 9 9 9 10 10 11 10 9 7 7 7 7 8 8 8 8 7 5 2 -0 -1 1 4 4 2 0 -0 1 5 9 12 13 13 13 13 13 12 12 11 11 10 10 10 9 nan
nan 9 9 8 8 7 7 7 8 9 8 7 7 6 6 6 7 7 8 8 9 8 9 9 9 10 11 12 11 10 8 7 7 8 9 9 8 7 7 6 7 9 10 10 9 8 8 8 8 9 9 9 10 10 10 10 10 9 9 8 8 7 5 4 5 7 9 9 9 8 7 7 8 8 8 7 6 5 5 6 7 7 7 8 8 8 8 8 9 9 9 8 9 10 11 11 10 8 7 6 6 7 7 8 8 8 8 8 6 4 3 4 6 6 2 -2 -5 -2 5 10 12 13 13 13 13 12 11 11 10 10 10 9 9 9 nan
nan 9 9 8 8 7 7 7 8 9 9 8 7 6 6 7 7 8 8 8 8 8 8 8 8 9 10 11 11 10 9 9 9 9 9 10 9 8 7 7 7 8 9 10 9 9 9 8 8 9 9 9 8 8 9 10 11 11 10 9 8 6 3 3 5 8 9 9 8 7 7 7 7 8 7 6 5 5 6 7 7 7 7 8 8 7 7 7 7 8 8 8 9 10 11 10 9 7 7 7 7 7 7 8 9 9 9 9 8 7 5 5 6 4 0 -6 -9 -3 6 10 11 12 12 12 11 10 10 10 9 9 9 9 9 9 nan
nan 9 9 9 8 7 7 7 7 8 9 10 9 7 6 6 7 8 8 8 7 7 7 7 8 8 9 10 10 10 10 9 9 10 10 11 10 9 8 7 7 8 9 9 9 10 10 10 9 9 8 7 7 8 9 10 11 11 10 9 7 3 1 3 5 8 10 9 8 7 7 7 7 7 7 6 5 6 7 8 8 7 8 8 7 7 6 6 6 7 8 8 9 10 10 10 8 7 7 7 7 7 8 9 9 10 10 9 8 7 6 5 5 2 -3 -9 -8 -1 5 9 9 9 9 9 9 9 8 8 8 8 8 9 8 8 nan
nan 9 9 8 8 8 7 7 7 7 9 11 10 8 6 6 6 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 11 11 10 9 8 7 7 8 8 9 10 11 11 10 9 8 7 7 8 8 9 10 10 10 8 4 1 1 3 7 10 10 9 7 7 6 7 7 7 6 5 5 6 7 8 8 8 8 8 7 7 6 6 6 7 7 9 9 10 10 10 9 8 7 7 7 7 8 9 10 10 9 9 8 7 6 6 4 1 -6 -9 -4 2 6 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 nan
nan 9 9 8 8 8 8 7 7 7 9 11 10 9 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 9 10 10 10 9 9 10 10 10 10 9 8 7 7 7 8 9 9 10 10 10 10 9 8 8 8 8 8 8 8 6 3 1 2 6 10 12 11 8 7 6 6 6 6 6 6 5 5 6 7 8 8 8 8 8 7 6 6 6 7 7 8 9 10 10 10 10 9 8 7 7 8 8 9 9 10 10 9 8 7 7 7 6 4 0 -4 -4 1 6 8 7 5 4 2 2 3 4 5 6 7 8 8 8 8 8 nan
nan 9 9 8 8 8 8 8 8 8 9 10 10 9 8 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 9 9 9 9 8 8 7 7 8 8 7 8 10 11 11 11 10 9 8 7 6 7 6 5 4 3 5 9 13 14 12 9 7 7 6 6 6 7 6 6 6 6 7 7 7 8 8 8 7 6 6 7 7 8 9 10 10 10 10 8 8 7 7 8 8 8 9 9 10 10 9 8 7 7 7 6 5 2 1 4 9 12 11 8 6 4 1 -0 1 3 5 6 7 7 8 7 7 7 nan
nan 9 9 9 9 9 9 8 8 8 9 10 10 9 8 7 7 6 6 7 7 7 8 8 7 7 7 7 8 8 7 6 6 7 7 7 7 7 9 10 9 8 7 7 8 8 7 7 8 9 10 10 11 11 9 7 6 7 7 6 6 6 8 12 14 14 12 9 8 7 8 8 8 8 7 7 6 5 5 6 7 8 8 7 6 6 7 8 8 9 10 11 11 10 9 8 7 7 8 8 8 8 8 9 9 9 9 8 7 6 6 6 6 6 7 12 15 14 12 10 8 5 0 -2 -1 2 5 7 7 7 7 7 6 5 nan
nan 9 10 10 10 9 8 7 7 7 8 9 10 9 9 8 7 7 7 7 7 8 8 8 7 7 7 8 8 7 6 5 5 6 6 5 5 6 9 10 10 8 7 7 8 9 8 7 7 7 7 7 9 10 10 8 7 7 8 7 7 8 10 12 13 13 10 8 8 9 9 10 10 9 8 7 5 5 5 6 7 7 7 6 5 6 7 9 9 10 10 11 10 9 8 8 7 8 8 8 8 8 8 9 9 9 9 9 8 7 6 7 7 8 10 12 12 12 11 11 10 5 -0 -3 -2 3 6 7 7 7 6 5 5 5 nan
nan 8 9 9 9 9 8 7 7 8 8 8 9 9 9 8 7 7 7 7 7 8 8 8 8 8 9 9 8 8 7 7 7 6 6 5 5 6 8 10 10 9 8 8 9 10 9 9 8 6 5 5 6 8 8 8 7 7 8 8 7 8 10 11 11 10 9 9 10 11 10 10 9 9 8 7 6 6 7 7 7 7 6 5 5 6 7 9 9 10 10 10 9 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 8 8 7 7 8 9 9 8 8 9 10 10 9 4 -2 -5 -2 3 6 6 6 6 5 4 4 4 nan
nan 8 8 9 9 9 8 7 7 8 9 9 9 8 8 8 8 7 7 7 7 7 8 8 9 9 10 9 9 9 9 9 9 9 8 6 5 6 7 8 9 9 10 9 9 10 10 10 9 7 5 4 5 6 6 7 7 7 7 7 7 7 8 9 9 9 9 10 11 12 11 9 9 9 7 6 6 6 8 8 7 6 5 5 5 6 8 9 9 10 9 8 8 7 8 8 9 10 10 9 9 8 8 8 8 9 9 9 9 9 8 8 9 9 8 7 7 7 7 6 4 0 -6 -7 -1 3 5 6 5 5 4 4 4 4 nan
nan 8 8 9 9 9 8 8 7 8 9 9 9 8 8 9 8 8 7 7 7 7 8 8 9 10 10 10 10 10 10 10 11 11 10 8 6 4 5 6 8 9 10 10 9 9 10 10 9 8 6 5 6 6 7 7 8 8 7 7 6 6 7 8 9 8 9 10 11 12 10 9 9 9 8 7 7 8 8 7 6 5 5 5 6 8 9 9 9 9 8 7 7 7 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 8 5 4 2 0 -2 -7 -11 -8 -1 3 5 5 5 4 4 4 4 4 nan
nan 8 8 8 9 9 9 8 7 8 9 10 10 9 9 8 8 8 7 7 8 8 8 9 9 10 10 10 10 10 10 10 11 12 12 9 6 4 4 5 7 8 9 9 9 9 8 8 9 8 8 7 7 7 7 7 8 8 8 7 6 5 5 6 7 8 8 8 9 10 9 9 9 9 9 8 9 9 8 7 5 4 5 6 8 9 10 10 9 7 6 6 7 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 7 5 3 1 -1 -4 -10 -11 -6 -0 4 5 5 5 4 4 4 4 5 nan
nan 8 8 8 9 9 9 8 7 7 8 9 10 10 9 8 7 7 7 8 8 9 9 9 8 8 9 9 10 10 10 10 10 11 11 9 6 4 4 5 6 7 7 8 8 8 8 8 8 9 10 10 9 8 7 7 8 9 9 7 5 4 4 5 6 6 6 7 8 7 7 8 9 9 9 10 10 9 8 6 4 5 6 8 9 10 10 10 8 7 7 7 7 8 9 9 9 9 9 9 8 8 9 9 10 10 9 9 8 8 8 8 8 8 8 7 7 7 8 7 2 -4 -6 -3 1 4 5 5 5 4 4 4 5 5 nan
nan 8 7 8 8 9 9 8 8 7 8 9 10 10 9 7 6 6 7 8 8 8 9 8 7 7 7 8 10 11 11 11 11 11 11 9 6 5 5 6 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 9 10 10 10 9 7 6 5 6 6 6 6 7 6 5 5 6 8 9 9 9 9 8 7 5 5 6 8 9 10 10 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 10 10 9 8 8 7 7 8 9 8 8 8 9 11 13 13 8 1 -3 -3 1 5 6 5 5 5 5 5 5 5 nan
nan 8 8 7 8 8 9 8 8 7 8 9 9 9 9 7 7 7 7 8 8 8 8 8 7 7 7 9 11 12 12 12 12 11 11 10 8 7 6 7 7 7 7 7 7 7 7 8 8 9 9 10 10 11 12 12 13 12 12 12 11 9 8 7 7 7 6 6 5 4 5 6 7 7 7 7 7 6 5 5 6 8 9 9 9 8 8 7 7 8 9 10 10 10 9 9 8 7 7 8 8 8 8 9 9 9 9 8 8 8 8 9 9 10 10 10 10 12 13 13 7 0 -4 -3 2 5 6 5 5 5 5 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
268 279 323 374 414 394 355 317 277 234 195 165 139 106 74 52 37 23 18 18 20 18 16 16 15 14 15 19 23 25 26 28 30 35 41 47 58 71 83 96 112 135 162 198 218 243 256 259 269 282 280 269 269 223 174 123 94 94 136 202 248 253 218 120 13 0 0 0 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 6 12 17 19 23 42 161 552 797 685 398 200 117 91 97 104 108 92 80 73 64 59 61 67 72 80 98 121 136 202 319 504 719 905 1053 1109 1072 1024 970 935
315 331 380 439 475 421 370 337 295 246 203 174 150 116 83 56 38 31 24 24 24 23 22 21 20 21 25 30 35 34 38 39 42 49 57 64 67 72 76 89 105 136 170 219 238 252 259 264 285 324 345 318 291 238 190 139 125 151 215 281 299 256 187 74 9 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 1 2 5 11 16 20 18 28 97 319 572 617 460 283 163 116 106 107 120 100 102 94 85 79 77 81 85 85 88 96 110 136 171 226 343 543 719 790 842 855 841 861
372 388 433 498 490 449 393 342 295 250 218 196 164 122 95 61 43 36 33 31 30 29 29 29 32 38 43 50 52 50 50 53 59 65 70 71 70 72 73 83 100 139 182 223 249 256 258 271 300 356 421 397 377 344 278 226 225 275 329 338 303 232 103 30 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 2 8 10 16 20 26 54 128 215 268 276 233 149 92 95 95 112 117 115 105 93 89 88 91 98 93 101 104 107 113 120 144 196 268 391 510 659 690 705 731
430 436 471 523 510 458 395 341 299 265 225 180 156 131 98 69 56 49 46 44 42 43 47 56 66 76 75 79 77 75 73 75 77 79 82 86 87 84 70 83 113 140 173 218 251 251 245 266 309 372 463 532 572 542 472 435 445 483 483 394 319 242 110 34 9 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 4 4 9 18 28 42 68 92 102 115 124 83 53 77 93 107 118 119 109 106 115 106 100 99 102 113 117 124 128 134 152 159 160 184 256 401 461 492 533
486 482 497 539 534 478 398 339 296 256 208 160 141 126 103 82 72 69 74 77 77 87 105 121 136 147 131 125 121 118 107 98 96 97 100 102 103 101 96 119 133 138 155 187 214 223 227 248 283 341 422 505 595 662 658 653 670 669 589 424 285 163 97 48 17 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 2 4 4 12 33 58 75 84 90 107 102 75 71 85 98 111 122 132 136 144 153 141 146 157 140 135 145 152 147 134 131 130 150 153 192 242 289 316 341
511 496 506 532 489 458 399 340 276 217 186 170 143 127 125 104 103 115 133 152 170 189 205 214 231 230 200 187 185 185 144 116 116 114 111 108 108 105 109 122 134 137 141 148 164 196 227 261 291 326 380 447 526 618 676 705 734 726 608 438 281 151 85 47 21 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 1 4 4 7 21 39 63 97 118 158 145 130 112 109 120 128 137 157 172 194 200 194 175 141 128 136 144 152 144 130 123 117 145 166 184 210 230 234 249
497 475 482 475 402 348 324 286 230 189 178 164 132 139 143 156 185 205 230 246 254 267 277 297 314 291 251 250 248 239 199 163 147 131 125 123 118 113 117 122 131 134 130 127 141 177 219 261 317 328 336 367 421 491 552 602 659 682 601 455 303 171 85 38 13 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 4 2 4 9 11 11 10 15 32 92 118 167 199 202 181 168 176 186 187 191 205 223 230 219 185 154 144 136 135 142 151 153 160 165 199 235 242 228 222 208 208
489 456 424 416 364 306 254 215 194 186 177 153 143 152 158 201 244 284 321 357 386 396 376 369 373 321 293 301 292 255 206 170 149 131 131 136 140 131 139 140 137 133 129 128 139 162 201 213 270 249 266 305 338 376 433 504 573 654 592 478 329 188 88 32 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 19 25 30 36 46 54 30 14 14 63 105 158 218 258 267 266 266 254 226 218 220 218 218 212 197 184 158 124 135 144 159 171 196 244 272 276 282 252 223 194 188
472 427 372 346 315 283 250 221 202 192 182 164 150 164 187 223 263 308 353 393 424 433 417 394 410 356 337 331 299 240 182 153 144 133 146 129 137 147 161 160 150 140 135 135 147 143 185 191 229 231 244 264 289 335 424 525 571 675 601 506 365 209 89 27 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 7 7 13 10 17 21 40 63 79 89 99 144 125 69 34 51 86 130 200 279 328 353 357 335 291 255 232 214 204 197 191 184 170 144 136 140 153 173 200 262 289 246 276 267 214 190 165
416 380 343 298 265 243 231 218 199 188 182 175 163 187 220 249 274 300 339 389 430 444 413 386 399 388 364 321 262 205 163 140 145 141 151 155 156 165 173 178 172 160 146 136 149 141 166 173 177 182 194 215 242 297 433 559 610 683 650 561 415 243 102 24 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 13 17 20 24 36 41 55 68 83 111 151 175 156 224 241 192 138 105 107 141 210 300 364 404 409 402 377 321 272 238 217 207 207 207 166 165 150 148 154 168 177 182 203 203 235 259 231 199 167
406 340 304 279 251 228 212 201 196 198 200 205 214 233 255 272 270 287 334 372 406 413 392 377 364 333 288 242 204 179 162 150 146 144 152 162 187 200 188 176 184 195 182 157 160 157 161 168 174 181 187 199 213 235 354 469 541 595 623 571 444 282 136 44 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 17 24 35 49 68 91 117 144 161 175 221 272 261 303 329 309 278 233 204 231 282 344 403 434 427 429 420 383 335 294 264 243 244 258 229 193 179 174 161 146 130 104 100 118 147 203 205 173 139
509 425 359 315 281 255 239 234 239 246 254 263 272 281 290 305 309 311 329 352 372 374 367 346 306 247 199 177 174 176 173 161 155 155 164 173 178 198 207 203 202 207 213 194 190 169 166 178 183 188 203 216 224 227 267 335 379 436 490 486 414 291 164 69 18 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 23 38 63 94 129 168 205 236 264 284 305 342 362 393 413 421 424 406 377 368 383 415 449 465 455 447 440 427 401 365 334 305 282 263 237 211 210 213 191 164 136 112 85 71 78 127 154 139 102
625 567 504 448 399 360 338 324 318 318 319 318 322 325 334 346 350 350 356 360 355 342 314 275 236 200 181 176 176 182 183 181 178 177 187 209 224 230 236 236 222 222 218 213 220 193 193 214 234 242 239 248 271 271 223 285 287 319 364 381 347 270 179 93 31 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 19 40 72 113 161 210 257 298 329 359 388 412 437 459 478 494 507 521 544 539 473 478 486 493 488 470 458 459 459 455 431 404 368 316 274 252 237 239 253 230 197 188 189 147 121 99 104 132 143 101
590 609 607 580 541 496 449 423 403 385 367 359 359 358 368 379 381 379 367 339 298 263 227 204 195 189 187 191 196 196 190 183 185 198 209 214 227 242 244 243 245 239 221 217 226 214 213 229 247 258 263 269 291 281 213 258 245 229 243 271 277 228 116 75 38 13 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 39 77 125 181 238 292 341 381 413 443 473 514 544 570 588 590 580 589 657 668 607 608 589 566 537 505 482 476 482 495 483 457 416 367 331 294 259 260 288 274 251 260 268 246 209 173 142 123 136 135
517 577 612 633 654 626 530 481 471 433 407 409 407 394 385 379 365 342 310 281 242 222 216 211 208 206 210 220 227 225 208 194 192 202 207 214 232 243 236 239 244 239 224 223 224 216 205 200 200 193 186 216 259 264 201 212 233 206 186 223 248 262 122 68 34 13 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 25 75 129 189 254 316 369 415 451 485 517 562 600 620 648 684 688 645 629 691 742 749 750 725 670 609 561 527 518 526 538 535 507 470 437 406 370 335 333 370 345 333 332 335 330 311 277 225 165 145 148
517 510 512 558 638 676 598 525 514 477 458 461 451 413 369 332 297 266 238 234 223 218 215 218 221 224 232 238 230 237 213 225 230 229 233 253 268 260 247 256 258 258 236 223 211 195 178 165 157 155 139 153 200 226 201 200 203 178 157 183 182 160 59 24 17 10 6 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 19 64 128 192 257 325 388 438 480 505 544 572 603 641 668 693 733 741 674 682 702 763 815 836 814 753 686 634 594 585 594 601 597 572 538 503 474 460 438 444 465 442 425 412 398 394 403 382 322 254 206 181
463 406 364 360 412 498 520 542 559 518 492 466 418 365 320 282 255 237 232 235 232 228 228 229 230 232 236 240 223 225 212 218 227 236 239 240 243 248 260 261 254 242 225 205 184 163 148 140 133 131 133 139 168 197 173 128 107 101 109 121 93 52 19 9 10 8 9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 1 14 61 125 198 270 337 402 454 497 542 555 587 608 632 664 686 698 706 752 731 730 764 799 828 843 828 787 743 709 693 681 682 678 670 658 640 612 578 574 564 556 557 545 527 498 455 446 469 449 389 332 274 236
348 300 221 185 224 292 343 432 524 531 494 443 373 312 284 274 267 267 270 261 248 244 249 254 251 243 236 235 226 223 221 223 228 235 245 257 263 267 275 278 272 252 232 212 188 165 150 147 140 136 138 145 161 198 167 94 71 63 60 44 27 13 5 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 12 53 118 193 270 342 408 470 519 551 586 605 621 628 635 652 667 679 667 742 756 759 778 793 802 804 793 773 752 740 735 734 732 730 731 738 747 733 700 689 696 699 691 672 657 647 611 574 550 500 439 393 343 295
255 262 228 202 221 251 252 234 317 483 491 429 365 319 294 287 289 285 280 268 257 255 258 268 272 259 244 234 228 232 239 247 261 271 276 282 292 322 350 356 350 334 303 268 244 227 215 189 169 157 157 163 160 190 192 138 93 60 47 18 10 4 4 3 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 4 41 105 179 254 328 402 464 525 574 605 629 643 651 652 651 657 650 653 656 689 712 733 740 731 728 725 722 709 701 693 681 687 700 707 712 733 773 782 794 792 801 819 832 834 813 805 783 728 668 601 530 476 434 389
174 216 238 245 240 239 217 154 166 346 436 424 370 324 304 301 303 303 293 288 289 291 296 301 296 278 256 240 236 245 260 278 288 288 286 292 326 397 432 413 397 380 332 279 247 222 197 171 162 152 150 159 158 163 179 163 86 38 31 14 7 3 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 4 29 87 157 228 306 385 463 523 580 625 659 679 688 691 686 673 668 655 638 630 620 635 653 642 621 601 603 608 597 585 571 564 573 592 601 600 647 689 721 773 827 873 913 941 965 959 936 874 823 775 716 650 592 551 515
114 163 205 229 232 225 216 201 200 253 320 380 406 382 340 329 324 362 356 351 356 361 364 362 347 313 277 258 254 258 268 278 282 284 297 336 400 440 409 350 310 273 230 190 158 140 124 102 108 111 115 126 132 138 146 117 39 16 9 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 55 127 203 273 358 436 512 579 637 682 716 735 738 732 720 703 686 670 642 618 594 582 573 547 512 470 475 473 462 450 442 437 445 477 494 494 526 566 605 682 770 839 914 971 1036 1049 1014 962 912 865 814 757 703 676 686
92 106 131 169 207 202 209 228 263 255 232 278 398 468 399 390 385 404 444 472 478 483 493 487 452 392 333 304 292 288 291 298 307 316 340 400 402 357 304 226 160 120 96 78 61 53 58 47 50 58 67 75 84 94 94 58 12 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 3 21 79 158 225 299 384 479 566 640 703 750 782 797 798 786 767 748 725 700 667 632 601 574 542 501 472 420 401 389 377 372 372 368 377 421 441 463 507 552 556 575 647 703 789 881 1015 1058 1052 1019 989 962 913 835 749 755 779
74 65 79 113 133 124 150 183 223 267 252 264 396 493 434 420 449 491 552 609 639 663 694 677 616 516 427 380 351 329 323 332 339 332 329 375 326 281 202 116 57 30 18 14 11 9 11 8 10 14 19 24 31 39 27 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 4 31 100 187 255 331 436 543 631 707 773 822 850 859 856 844 822 804 780 751 715 676 638 602 567 541 509 451 407 392 393 400 414 408 435 424 455 528 642 718 696 626 584 599 679 744 871 962 1035 1102 1119 1070 1012 938 841 798 803
46 52 54 50 53 54 81 122 186 280 317 334 424 470 462 452 513 605 667 729 780 807 806 733 644 526 430 375 338 312 302 300 295 275 254 235 196 148 87 35 10 4 1 0 0 0 0 0 0 0 1 2 4 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 6 38 107 191 270 366 485 593 686 766 833 881 907 917 913 901 886 864 842 815 780 739 694 656 644 625 566 496 452 452 497 557 590 610 609 573 594 672 787 871 870 802 728 677 680 697 768 859 954 1047 1107 1095 1086 1061 978 878 827
23 34 35 35 39 46 46 74 140 230 304 359 416 465 508 504 539 647 674 678 717 747 657 516 411 339 292 264 245 229 215 199 177 147 128 110 75 30 5 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 1 1 0 0 0 0 0 0 7 38 104 196 283 398 513 624 716 792 858 906 937 956 954 954 939 917 898 878 849 808 764 761 750 674 585 527 501 516 569 625 721 787 766 760 795 850 910 955 962 941 882 773 716 713 752 817 901 983 1096 1101 1124 1157 1146 1075 995
7 10 17 28 41 49 36 46 84 142 207 263 307 359 410 377 380 415 474 445 389 425 343 238 184 164 159 151 137 124 115 100 80 60 44 28 16 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 31 92 197 285 400 505 599 687 764 829 883 927 944 950 954 949 937 922 907 893 855 849 864 793 677 602 582 604 654 679 752 900 812 692 733 857 957 1025 1051 1040 1024 946 822 728 715 767 851 919 974 1042 1082 1126 1210 1287 1286 1237
5 1 5 14 18 18 16 22 39 64 89 111 128 134 107 126 139 133 128 134 142 139 115 88 85 85 79 65 50 43 40 31 18 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 3 15 74 168 265 362 449 533 617 690 747 799 842 870 890 907 910 895 872 856 861 857 871 853 785 716 687 699 729 735 721 792 688 535 490 545 687 861 1051 1062 1123 1100 970 805 692 685 758 876 949 1012 1069 1084 1104 1191 1314 1381 1395
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