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 3 3 2 3 2 2 2 2 3 3 4 5 6 8 10 12 14 17 21 26 30 30 28 26 24 25 25 21 13 6 6 10 16 19 21 20 17 14 11 9 8 9 9 9 9 8 8 8 8 7 6 5 4 3 3 4 5 7 9 11 12 11 9 7 8 9 9 8 7 7 6 6 6 6 7 8 8 7 5 1 -1 0 3 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 5 5 5 5 nan
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nan 8 7 7 7 7 7 7 7 7 8 8 9 9 8 8 7 7 7 8 8 8 8 7 7 6 7 7 7 8 8 8 8 8 8 7 7 8 8 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 8 7 7 7 6 6 6 7 7 7 7 7 8 7 7 7 8 9 9 9 9 9 10 10 9 9 8 7 5 2 0 2 5 6 6 7 8 9 9 8 8 7 6 6 6 6 6 6 6 7 6 6 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 nan
nan 7 7 7 8 7 7 7 8 8 9 9 9 8 7 7 7 7 7 8 8 8 8 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 9 8 8 8 7 7 8 8 8 8 7 6 6 7 7 8 8 8 8 7 7 7 7 8 8 9 8 8 9 9 10 9 9 8 7 5 3 3 4 5 6 8 10 10 9 8 7 6 5 5 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 nan
nan 7 8 8 8 8 7 7 7 8 9 9 8 7 7 6 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 7 7 7 7 8 8 8 8 8 9 7 6 6 6 6 7 8 8 8 7 8 9 9 9 8 8 7 6 5 4 5 7 10 12 11 9 7 5 5 5 6 6 7 7 7 7 7 7 7 7 7 8 8 8 9 8 8 7 7 6 6 6 6 6 7 7 8 8 nan
nan 7 8 8 8 8 7 7 8 8 8 8 7 7 6 6 7 7 7 8 8 8 9 9 9 9 9 8 8 8 7 8 8 9 9 9 8 8 8 8 7 7 7 7 7 8 10 10 9 9 9 9 9 8 8 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 8 7 7 7 6 6 7 7 7 7 7 7 8 8 8 7 7 8 8 7 6 6 8 11 12 10 7 4 3 4 5 6 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 7 6 5 5 6 6 7 7 8 8 8 nan
nan 8 8 8 8 7 7 7 8 8 8 7 7 6 6 7 7 7 7 7 8 9 9 10 10 11 10 10 9 9 8 8 8 9 9 9 8 7 8 8 8 7 7 7 8 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 8 7 7 8 8 8 8 7 8 7 7 6 7 7 7 7 7 7 7 8 7 6 6 7 8 8 8 8 9 10 10 8 5 2 1 3 5 6 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 7 6 5 5 5 6 7 7 8 8 8 8 nan
nan 8 8 7 7 7 7 7 8 8 8 7 6 6 7 7 8 8 7 7 8 9 10 11 11 11 11 10 10 9 9 9 8 8 8 8 7 7 7 7 8 8 8 9 10 10 10 10 10 9 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 8 8 8 7 7 7 7 7 7 7 7 8 7 7 6 6 7 8 8 9 10 9 9 9 7 4 2 1 4 5 6 7 7 7 7 7 7 8 8 8 9 9 9 9 8 7 6 5 5 5 6 7 7 8 8 8 8 8 nan
nan 7 7 7 7 7 7 8 8 8 7 7 6 7 7 8 8 8 7 7 8 9 9 10 10 9 9 8 8 8 9 9 8 6 5 5 6 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 6 7 7 7 8 8 8 8 7 7 8 8 7 7 7 7 7 7 8 8 8 8 7 6 6 7 8 8 9 10 10 10 9 9 7 6 4 4 5 5 6 7 8 8 8 8 8 8 8 9 9 9 9 8 7 6 5 5 5 6 6 7 8 8 8 8 8 8 nan
nan 8 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 8 8 8 8 7 7 6 6 6 8 8 8 6 5 5 5 6 7 8 8 9 9 10 11 11 11 10 10 10 11 11 10 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 7 8 8 8 9 10 10 10 9 9 8 7 7 7 6 5 5 7 8 8 8 8 8 8 8 9 9 9 8 7 6 5 5 5 6 6 7 8 8 8 8 8 7 7 nan
nan 8 7 7 7 7 7 8 8 8 8 7 8 9 9 8 8 9 10 10 10 9 8 7 7 6 6 6 6 6 6 7 8 8 7 6 6 7 7 7 8 9 10 11 11 11 11 10 10 11 12 12 11 9 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 7 6 7 7 8 8 9 9 10 10 10 10 8 8 8 8 8 7 6 6 6 7 8 9 9 9 9 9 9 9 8 8 7 6 5 5 6 7 8 8 9 9 8 7 7 6 6 nan
nan 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 8 7 7 8 8 7 6 6 7 8 8 7 6 7 7 8 9 10 12 12 12 11 10 10 10 11 12 13 12 9 8 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 9 9 8 8 7 7 7 7 7 8 8 9 9 9 10 10 10 9 8 7 8 8 8 8 8 7 7 6 7 9 10 12 12 11 11 9 8 7 6 5 5 6 7 8 9 9 9 8 7 7 6 6 6 nan
nan 7 7 6 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 8 9 9 9 9 9 9 9 8 8 7 6 6 6 7 7 7 7 7 8 8 9 11 12 12 11 10 9 9 9 10 12 13 12 10 8 7 7 7 8 8 8 8 7 7 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 7 6 6 6 7 8 8 9 9 9 10 10 10 8 7 7 7 8 8 8 8 8 8 7 7 8 10 12 15 16 14 12 9 7 6 6 6 6 7 8 9 9 9 8 7 7 6 5 5 5 nan
nan 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 6 7 7 7 7 7 8 8 9 11 12 11 10 9 8 8 8 9 10 12 12 10 8 6 6 6 7 8 8 8 8 7 6 6 6 6 6 6 6 7 7 8 8 9 8 7 7 7 9 10 10 9 7 6 6 6 7 8 9 9 9 9 10 9 8 7 6 7 7 8 8 8 8 8 8 8 9 9 11 13 15 16 13 9 5 4 5 6 7 8 8 9 9 9 8 7 7 6 5 5 5 5 nan
nan 7 7 7 7 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 7 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 9 10 11 11 10 9 8 8 8 9 10 11 11 10 8 7 6 6 7 8 9 9 9 8 7 6 6 6 6 6 6 6 7 7 8 9 8 7 6 7 9 10 10 9 7 7 7 7 8 8 8 8 8 9 9 9 7 6 7 8 8 8 8 8 8 8 9 9 9 10 10 11 12 11 7 1 -3 0 5 7 8 9 9 9 9 8 8 7 6 5 4 4 5 5 nan
nan 7 7 7 8 8 7 7 8 8 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 9 10 11 11 10 9 8 7 7 7 7 7 7 7 8 8 9 10 10 10 9 9 9 9 10 10 10 10 9 9 8 8 7 8 8 9 11 10 8 7 6 6 7 6 6 6 6 6 7 8 8 7 6 6 7 9 10 10 9 8 8 8 8 8 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 9 8 5 -0 -6 -5 1 6 8 9 9 9 9 8 8 7 6 5 4 4 4 4 5 nan
nan 7 8 8 8 8 8 8 8 8 9 9 8 7 6 5 5 6 7 7 8 8 8 8 8 8 10 11 12 11 10 9 8 8 7 7 6 6 7 7 7 8 9 9 10 10 11 11 11 11 10 9 8 8 9 9 9 10 10 9 9 9 8 6 5 5 6 7 6 6 5 5 6 6 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 7 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 7 3 -3 -5 -1 5 9 10 9 9 9 8 8 7 6 5 5 4 4 4 5 5 nan
nan 8 9 9 8 8 8 8 8 8 8 8 8 7 6 6 5 6 6 7 7 7 7 8 8 8 9 10 10 10 10 10 11 9 8 7 6 6 6 7 7 7 8 9 10 10 11 12 13 11 10 8 8 8 8 9 10 10 10 9 7 5 3 3 4 5 7 7 7 6 5 5 5 6 6 6 7 7 7 7 7 8 9 9 9 9 8 8 8 8 7 6 6 6 5 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 6 1 -3 -1 6 11 12 11 10 9 9 8 7 7 6 5 5 4 5 5 5 5 nan
nan 8 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 7 7 7 7 8 9 9 9 9 10 12 12 11 9 8 7 7 7 7 7 7 8 9 10 11 11 11 12 11 10 9 8 9 9 9 10 10 9 6 4 2 1 3 5 8 9 9 8 7 6 6 6 6 6 6 7 7 6 6 6 7 9 9 8 8 8 7 7 7 7 6 6 5 5 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 6 3 1 6 13 17 15 12 10 10 9 8 7 6 5 5 5 5 5 5 5 5 nan
nan 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 6 7 7 8 9 9 9 10 12 13 11 10 9 9 9 8 7 7 7 7 9 10 11 11 10 10 10 10 10 11 11 11 11 10 9 7 5 3 3 4 7 9 11 11 10 9 8 8 8 8 7 7 7 6 6 6 6 6 7 8 8 7 7 7 6 6 7 7 7 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 6 8 13 17 17 14 11 10 10 9 7 6 6 5 5 6 6 6 6 5 5 nan
nan 8 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 7 7 7 7 8 7 7 7 7 8 8 9 8 9 10 11 11 10 10 10 9 8 7 6 6 7 8 9 10 10 10 10 10 10 11 12 12 12 11 9 8 7 5 5 6 8 10 11 11 9 8 8 9 9 10 10 9 8 7 6 6 5 6 6 7 6 6 6 7 6 6 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 11 13 14 12 11 10 9 8 6 5 5 6 6 6 6 6 6 6 5 5 nan
nan 9 9 9 9 9 8 8 8 8 7 8 8 9 9 9 8 8 8 8 8 8 9 8 8 7 7 7 7 6 6 8 10 11 11 11 10 10 8 7 7 7 7 6 7 8 9 9 10 11 11 11 11 11 10 9 8 7 6 6 7 8 10 11 10 8 7 6 7 8 9 10 10 9 9 8 7 6 6 6 6 6 5 5 6 6 6 7 8 8 9 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 8 8 8 7 4 2 2 4 6 7 7 7 6 6 5 5 5 nan
nan 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 6 5 6 8 10 11 11 11 10 9 9 8 8 7 6 6 7 7 8 9 9 10 9 9 9 9 8 8 7 7 7 8 9 10 10 9 7 6 6 7 8 8 9 10 10 9 8 8 8 7 7 6 5 5 5 6 6 6 7 7 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 6 5 4 3 2 -0 -3 -2 3 6 7 7 7 6 6 5 5 6 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 6 7 7 7 7 7 8 8 8 7 6 7 7 8 10 10 10 10 10 10 9 9 8 7 7 7 7 7 7 8 8 9 8 8 8 8 8 8 8 8 9 9 10 9 8 6 6 7 7 8 9 9 10 9 9 9 9 9 8 7 7 6 7 7 8 8 8 7 7 7 7 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 8 8 6 3 -1 -3 -3 -3 -5 -6 -2 3 6 7 7 6 5 5 5 5 6 nan
nan 8 8 8 8 8 8 7 8 8 9 9 9 9 8 9 9 9 9 8 7 6 6 6 6 7 7 8 9 10 10 8 7 6 7 9 10 10 9 9 9 9 9 9 9 9 8 7 7 7 8 9 8 8 8 9 9 9 9 8 8 8 8 9 9 8 7 7 7 7 8 9 9 9 9 10 10 10 10 9 8 8 8 8 8 9 10 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 8 8 7 5 1 -2 -3 -2 -1 -2 -1 3 5 6 6 6 5 5 5 5 5 6 nan
nan 8 8 7 7 7 8 8 8 9 9 9 9 9 8 8 9 9 8 7 6 6 7 7 7 7 8 10 11 11 10 9 7 7 7 9 10 10 9 8 8 8 8 9 10 10 9 8 8 9 9 9 9 8 8 8 8 9 8 8 7 7 7 8 8 8 8 7 7 7 8 8 9 8 8 9 10 10 10 10 9 9 9 9 9 10 11 10 9 9 8 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 8 8 7 7 7 5 4 3 3 5 6 5 6 7 7 6 6 5 5 5 5 5 6 6 nan
nan 8 8 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 7 8 8 8 8 8 8 9 10 10 10 9 7 7 7 7 9 10 10 9 8 8 8 8 9 9 10 9 8 8 9 9 9 9 9 9 8 8 8 8 8 7 6 6 7 7 8 8 8 8 7 7 7 7 7 7 8 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 8 7 6 7 7 8 8 9 9 9 9 9 8 8 8 9 9 8 8 7 7 7 7 7 7 8 8 8 9 8 6 6 6 6 6 5 5 5 5 5 5 6 6 nan
nan 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 8 8 8 8 7 7 7 7 7 7 8 9 10 10 9 8 8 8 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 7 6 6 6 6 6 7 8 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 6 3 2 3 5 6 6 5 5 5 5 5 5 6 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
334 256 169 87 53 80 116 125 79 47 46 70 99 123 156 236 385 554 650 742 834 886 926 944 975 1003 958 909 893 730 348 204 358 511 515 414 289 177 114 113 113 82 44 27 18 15 12 10 6 2 1 1 5 16 23 4 0 0 0 0 1 3 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 17 30 52 66 73 100 129 141 136 129 120 117 129 152 176 200 241 294 372 491 720 1031 1204 1244 1030 568 401 284 226 194 172 171 200 255 316 372 433 496 586 640 657 605 498 401 341 304 292 301
382 320 205 102 87 146 177 156 94 54 61 109 173 233 327 519 770 1069 1267 1372 1505 1423 1259 1140 1043 928 806 812 948 806 533 505 792 1027 1084 977 785 642 524 361 207 111 49 27 20 15 11 8 5 6 13 25 41 36 20 4 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 27 51 102 134 156 179 199 220 239 220 186 178 205 228 229 241 269 282 334 461 706 1108 1307 1277 1084 704 507 391 315 266 239 237 252 287 349 391 419 467 529 606 680 688 612 505 423 396 339 325
425 385 345 198 203 228 234 191 117 78 113 219 340 461 788 1124 1378 1411 1420 1377 1324 1169 946 743 581 431 404 583 881 780 699 802 968 902 674 590 671 611 518 425 250 182 133 98 92 91 75 49 31 43 74 86 65 30 8 1 0 0 0 2 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 1 7 23 29 64 130 187 223 234 236 250 256 211 200 194 210 221 237 267 280 284 352 487 633 874 1007 1002 923 747 611 512 436 369 307 273 282 302 342 364 378 395 410 444 503 569 591 567 517 538 508 481
651 571 555 424 386 372 332 256 166 121 204 394 561 762 1176 1416 1404 1134 928 811 646 484 379 351 405 375 413 565 719 682 678 775 782 562 317 289 349 303 300 301 309 310 283 277 296 275 208 158 141 115 97 55 14 2 0 0 0 0 0 2 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 12 14 19 21 38 41 47 78 145 219 257 247 231 240 221 182 171 179 201 228 269 314 338 347 398 493 555 621 679 760 809 796 723 627 563 512 419 347 318 318 330 329 331 337 339 351 389 445 510 559 558 602 637 662
673 656 709 657 585 514 441 335 220 182 324 579 738 834 1006 995 772 526 350 321 262 216 263 413 720 791 822 795 735 700 705 717 602 388 250 245 277 240 261 314 327 302 272 289 302 268 205 138 112 91 50 15 3 0 0 0 0 0 0 1 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 16 33 41 44 68 100 79 70 82 115 168 233 275 267 268 252 213 181 175 184 211 247 289 341 381 390 406 460 461 489 551 646 760 843 808 707 649 647 592 496 409 375 366 346 327 318 311 309 321 348 398 451 497 566 646 731
754 742 729 752 703 600 513 395 257 235 400 601 644 559 510 434 357 402 510 595 552 512 631 821 1090 1187 1165 1038 818 696 575 504 417 289 258 236 210 196 176 147 140 138 124 116 120 117 101 63 42 27 12 7 6 2 0 0 0 0 0 0 2 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 31 52 71 88 127 148 144 138 145 178 214 243 282 284 282 265 232 203 192 201 227 263 309 364 415 436 432 471 493 555 649 719 725 719 819 811 773 821 856 783 659 557 497 439 386 351 325 309 307 320 340 364 421 493 567 665
1008 969 855 815 749 650 557 451 337 305 373 389 322 239 190 159 278 563 854 984 995 1077 1229 1272 1236 1094 984 878 702 570 424 325 292 274 259 181 148 142 120 109 94 84 72 72 81 70 50 33 20 12 9 5 2 1 1 1 0 1 1 0 0 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 4 19 42 59 75 101 137 173 201 204 215 246 269 266 283 289 270 267 250 219 204 216 239 267 298 342 401 447 460 482 536 652 791 914 1025 1061 1031 1068 1093 1207 1255 1193 1076 934 794 687 601 488 412 365 335 332 346 357 374 427 479 536
1106 1025 864 723 658 618 610 585 508 440 409 281 149 144 118 161 288 566 877 1119 1285 1372 1348 1168 976 786 717 664 614 555 479 408 359 318 255 188 144 121 111 92 80 78 79 75 64 48 32 21 10 6 5 4 3 2 2 2 1 1 1 1 0 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 7 27 40 51 58 75 102 144 191 221 239 260 270 256 271 260 257 244 230 220 217 221 229 237 254 269 314 362 389 415 470 569 685 789 943 1121 1293 1429 1505 1601 1583 1486 1419 1355 1187 1080 974 764 605 498 429 397 407 416 391 423 462 475
1045 1038 858 619 512 550 673 712 604 465 355 197 116 152 198 328 456 586 789 1001 1026 871 771 671 633 594 636 639 589 508 419 343 290 237 200 279 231 166 141 123 95 78 79 70 47 32 15 11 7 5 5 5 5 4 3 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 19 21 29 39 69 86 121 183 230 243 236 242 212 221 199 204 212 200 183 180 190 188 187 191 197 224 256 285 326 373 416 455 496 587 776 1127 1527 1698 1715 1621 1481 1465 1602 1516 1441 1236 996 796 675 598 546 543 568 528 492 493 548
987 918 811 670 612 650 660 561 410 285 183 103 126 225 357 489 528 530 635 780 727 522 470 477 486 510 561 548 487 421 349 261 222 235 247 231 261 219 154 108 80 67 65 51 37 28 11 6 5 5 5 5 5 4 2 2 1 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 3 15 32 63 86 114 168 226 258 209 227 192 181 161 152 151 151 146 140 154 142 141 147 160 169 185 224 277 312 329 343 369 376 464 796 1173 1388 1443 1476 1592 1750 1830 1773 1567 1287 1033 886 858 867 832 755 707 637 556 563 670
995 932 833 726 661 594 441 252 158 134 118 138 244 379 477 489 414 372 452 538 452 350 367 380 361 352 368 389 400 395 360 313 306 289 258 210 203 190 150 109 81 59 48 31 21 14 7 5 5 5 5 5 5 5 3 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 31 53 70 87 102 121 196 161 177 172 166 155 137 115 104 113 106 109 100 98 96 103 112 124 158 212 243 267 289 303 306 354 469 641 798 922 1209 1686 1888 1785 1666 1499 1328 1210 1122 1065 1055 1002 875 754 671 634 632 660
748 708 632 550 452 334 203 108 107 152 214 336 487 547 523 415 297 260 294 301 251 231 269 286 280 306 380 426 419 392 326 267 241 229 223 217 192 152 114 78 50 36 28 16 8 5 4 4 4 5 5 5 5 5 3 2 2 2 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 30 48 52 45 47 38 72 90 108 130 148 154 144 123 113 103 89 75 67 68 64 62 70 86 109 134 159 196 229 254 273 296 331 375 422 469 712 1127 1442 1671 1689 1566 1426 1308 1162 1027 929 855 752 676 657 638 583 553
398 408 416 372 275 170 108 119 194 279 379 537 681 635 490 356 281 258 247 205 148 152 208 254 275 335 444 488 429 340 244 184 169 168 159 141 110 90 71 46 28 18 12 7 6 4 3 4 4 5 5 4 4 4 3 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 15 20 10 10 14 13 25 35 47 66 98 132 136 127 126 115 87 71 60 54 47 43 50 65 85 101 113 145 179 196 206 229 257 265 297 301 380 551 774 1001 1223 1282 1144 960 781 668 573 519 512 560 629 635 564 560
181 221 279 287 236 174 162 241 355 404 484 564 603 506 349 234 189 180 174 141 102 118 168 221 255 320 394 407 339 240 157 130 135 125 109 98 77 53 35 18 8 6 6 5 5 5 4 3 4 4 3 3 3 3 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 4 4 0 0 2 2 2 6 11 21 46 85 102 114 133 122 96 82 69 54 43 40 41 48 71 80 93 119 148 167 173 181 222 255 271 290 305 311 346 460 618 691 742 743 586 529 499 484 487 542 649 745 806 773
65 73 98 140 183 213 240 303 432 424 456 452 378 274 184 129 102 90 87 91 94 125 144 168 193 241 281 267 207 134 84 81 97 96 82 61 40 25 15 7 5 5 5 3 3 2 2 2 2 1 1 2 1 1 2 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 1 0 0 0 0 0 0 0 1 5 15 33 54 64 76 93 91 81 71 59 53 49 48 47 60 71 83 95 112 136 149 157 181 209 235 272 321 356 385 420 470 545 666 778 660 648 634 570 560 631 713 749 795 828
52 29 19 41 108 197 248 251 376 357 348 307 222 154 118 89 65 58 54 63 84 105 114 119 131 158 179 165 127 76 67 78 82 72 55 34 14 4 5 4 4 4 3 1 1 0 0 0 0 0 0 0 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 1 3 10 23 33 43 55 63 65 63 61 60 58 57 55 58 66 76 85 90 103 112 130 144 154 171 210 267 326 380 404 420 462 552 663 641 589 557 593 662 716 688 631 616 736
55 30 15 19 56 129 202 207 280 280 251 202 151 122 101 70 49 43 47 60 76 88 89 88 106 148 173 136 93 72 67 59 48 33 21 11 5 3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 18 27 35 42 49 52 53 56 58 60 63 68 73 80 88 89 91 95 104 120 129 133 150 180 210 235 268 298 310 387 505 581 598 567 495 467 464 459 430 468 759
28 16 7 5 21 66 140 177 208 200 182 148 109 84 71 52 40 35 39 49 62 72 73 75 105 157 178 125 97 89 62 36 20 10 5 4 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 17 26 32 38 44 48 50 54 60 66 73 80 85 89 94 95 96 99 102 115 124 122 118 122 126 154 186 202 237 307 397 463 457 387 379 354 307 295 267 289 492
2 3 2 2 9 37 86 122 146 131 122 107 91 78 59 40 29 23 25 35 51 63 65 65 82 116 135 114 110 99 54 20 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 14 22 29 34 40 49 58 65 67 67 74 83 89 92 96 102 105 107 108 112 113 119 127 125 107 103 98 115 134 150 169 203 260 332 391 421 435 444 419 394 356 349 390
2 3 3 4 6 19 46 72 88 88 89 88 82 66 44 28 20 18 21 28 39 48 51 52 57 70 87 95 103 97 54 19 6 4 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 0 0 0 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 16 26 36 45 51 55 66 80 89 96 100 95 92 93 94 98 106 118 122 126 128 132 136 139 144 147 127 121 116 112 118 132 141 153 178 238 289 341 417 477 522 536 531 525 522
3 3 4 4 4 8 20 40 52 64 74 77 68 50 29 17 12 10 10 15 21 29 34 38 41 47 55 62 96 92 59 31 16 6 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 1 4 8 15 26 42 56 69 79 83 86 98 106 107 110 110 106 102 104 109 113 120 132 140 144 147 153 159 162 161 163 157 153 151 151 152 153 156 173 187 204 208 187 221 304 391 466 527 577 651
3 3 2 4 4 4 7 23 35 52 68 70 53 33 18 11 8 3 3 5 7 10 12 14 18 22 26 31 53 52 46 45 36 13 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 2 2 6 15 26 39 56 71 80 86 91 88 84 84 86 87 90 93 96 102 109 116 121 123 129 135 140 141 145 149 151 147 145 145 142 142 146 151 153 154 169 189 196 195 196 203 225 265 322 391 448 550
1 1 1 3 2 2 3 14 32 58 72 60 34 18 13 9 4 2 0 0 0 1 1 2 4 5 8 10 11 12 20 29 28 14 8 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 2 4 7 12 22 33 48 65 78 81 73 61 50 48 45 44 46 52 59 67 75 85 90 93 96 97 98 98 96 95 94 92 91 92 91 90 89 89 89 90 90 99 108 118 130 142 156 166 167 171 185 209 243 299
0 0 0 2 2 3 5 17 50 80 75 44 18 7 2 2 1 0 0 0 0 0 0 0 0 0 1 1 0 1 5 9 12 11 21 13 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 1 5 9 12 14 20 29 46 64 73 70 59 47 35 23 22 22 24 27 31 35 41 47 51 54 57 57 56 55 51 44 42 41 37 36 38 37 35 33 28 31 28 25 37 45 48 56 65 72 76 70 75 78 84 102 124
0 0 0 2 6 7 16 33 70 83 58 26 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 23 16 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 0 0 2 8 13 15 24 35 47 60 65 58 45 33 30 27 23 23 23 23 23 24 23 25 27 26 27 29 27 26 28 27 23 24 23 21 19 18 17 15 11 7 9 5 11 14 17 20 18 15 17 16 7 13 20 25 36 52
0 0 3 11 17 12 25 42 54 48 29 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 0 0 0 0 0 0 0 0 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 11 15 20 33 46 55 57 49 40 32 26 27 28 28 27 26 23 21 21 20 21 21 21 21 22 22 22 23 24 26 29 29 26 22 19 17 15 12 11 3 1 5 8 11 14 14 12 7 4 4 4 6 11 16 16
0 0 3 10 28 20 25 35 33 20 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 17 25 33 38 40 38 33 31 29 28 29 30 29 26 23 21 19 19 19 19 19 20 20 20 20 20 22 26 28 28 27 24 20 18 17 15 13 12 7 4 3 5 9 12 12 12 10 9 10 9 10 13 14 13
0 0 0 1 15 17 17 16 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 11 17 23 28 28 27 27 29 29 29 30 31 29 25 22 19 17 16 15 15 15 16 16 16 16 17 18 22 22 20 18 18 17 16 15 13 11 7 4 4 5 7 9 10 10 10 9 9 9 10 11 13 17 18
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