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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 6 6 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 7 8 8 9 10 12 14 15 13 12 12 15 19 21 16 8 3 2 3 4 5 5 5 5 6 8 9 10 11 11 10 10 10 10 10 9 8 8 8 9 10 10 10 9 9 9 9 9 8 9 10 12 14 15 16 15 14 13 9 5 6 10 11 9 9 9 10 9 10 13 17 20 19 16 12 10 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 9 9 9 nan
nan 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 6 6 6 6 6 6 5 5 5 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 10 11 13 14 15 14 12 12 15 19 19 13 5 2 3 5 5 5 5 5 6 7 8 10 10 11 11 11 11 10 9 8 7 7 8 8 9 10 10 10 9 8 8 8 8 7 8 9 10 11 12 13 12 10 8 6 8 12 15 13 11 10 10 11 12 14 18 21 20 17 13 10 8 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 4 5 5 6 nan
nan 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 8 8 8 10 12 13 14 14 13 12 12 15 19 18 11 5 3 5 6 6 5 5 6 7 8 9 10 11 12 12 11 11 10 8 7 7 7 8 9 10 10 10 9 8 8 7 7 6 6 6 7 8 9 10 10 8 7 6 7 10 13 14 13 11 11 11 12 14 17 19 19 17 13 9 7 6 5 4 4 4 4 4 4 5 5 5 5 4 4 3 3 3 1 -0 -0 0 1 1 nan
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nan 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 9 8 8 8 8 9 9 10 10 10 11 11 11 11 12 12 12 16 23 28 31 28 21 14 10 7 6 8 10 13 15 15 14 13 12 12 12 11 11 12 15 17 18 19 19 18 18 18 17 16 13 10 9 10 11 11 9 7 5 5 5 6 8 9 10 9 7 6 5 6 7 7 6 6 5 6 7 7 8 8 8 9 9 10 11 11 11 10 9 7 7 7 8 8 7 7 8 8 9 8 8 7 8 9 10 12 14 14 14 13 12 12 12 11 10 9 8 8 7 7 7 7 6 6 6 6 7 8 8 7 6 6 6 6 6 7 7 8 8 8 8 8 7 7 7 8 7 6 6 8 11 15 19 18 17 16 15 14 14 13 13 13 12 11 9 7 4 5 9 17 26 34 37 35 30 24 19 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 9 9 8 8 8 8 9 9 10 10 11 11 11 12 12 12 12 15 21 26 28 26 20 12 8 6 5 7 10 12 14 15 14 13 13 13 13 13 13 14 14 14 13 13 15 16 17 16 15 13 11 10 9 10 11 11 10 9 8 7 7 8 9 10 10 10 8 7 7 8 9 10 9 8 7 7 7 6 6 6 7 7 8 9 9 10 11 11 9 7 7 7 7 8 8 8 8 9 9 9 9 9 9 10 11 12 12 13 13 14 14 14 13 12 11 10 9 8 8 8 9 9 8 7 7 8 9 9 10 8 7 6 6 5 5 5 6 7 8 9 10 10 10 10 9 9 8 8 7 8 11 15 18 19 17 16 15 13 13 12 12 11 10 9 6 4 2 3 9 17 25 32 34 32 28 23 19 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 10 10 9 8 8 8 8 9 9 10 11 11 11 12 12 12 12 15 20 26 27 24 19 11 7 6 5 6 9 12 14 15 15 14 13 13 13 14 15 15 14 12 11 11 12 14 15 14 13 12 10 10 10 10 11 11 12 11 11 10 9 9 10 10 10 10 9 8 9 10 11 12 12 11 9 8 7 7 7 6 7 7 7 7 7 8 9 9 9 8 7 7 7 7 7 8 8 9 9 9 9 9 10 10 12 12 12 12 12 13 14 14 13 12 11 10 10 8 8 9 11 12 11 9 8 8 8 10 10 9 8 7 6 6 6 6 7 8 9 10 10 10 10 10 9 8 8 8 9 11 14 17 18 19 18 16 15 13 12 11 10 9 8 7 4 3 2 4 10 15 20 24 26 24 23 21 19 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 10 9 9 9 8 9 9 9 10 11 11 12 12 12 12 15 20 27 31 28 22 15 8 6 6 6 8 12 15 16 17 16 14 13 13 14 15 16 15 13 11 10 10 11 13 13 13 12 11 11 12 12 12 12 13 14 14 12 10 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 9 8 8 7 7 7 7 6 6 6 7 7 7 8 7 7 7 7 7 7 8 8 8 9 9 9 10 11 12 12 11 10 10 11 12 13 13 12 11 11 10 9 9 10 12 13 13 11 9 8 7 8 9 9 8 7 7 7 7 7 8 8 9 9 10 10 9 8 7 6 7 8 11 15 18 19 19 19 18 16 15 14 12 10 8 6 5 4 2 2 4 7 11 14 15 16 18 19 19 19 18 nan
nan 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 10 11 12 12 12 11 14 21 28 33 33 26 19 12 8 7 7 8 11 15 17 18 18 16 14 14 14 15 16 16 14 12 10 9 9 11 13 14 14 14 14 14 13 13 14 14 15 15 13 11 10 10 10 11 10 10 10 10 9 9 9 10 11 12 12 12 10 9 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 9 9 9 10 11 11 10 9 9 10 11 12 12 12 11 11 10 10 11 12 13 13 13 12 10 8 7 7 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 8 7 7 8 9 12 16 19 20 19 19 18 16 15 13 11 8 5 3 1 -0 -1 1 5 9 12 13 12 12 14 16 17 17 17 nan
nan 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 10 10 9 9 8 9 9 10 11 12 12 12 14 20 27 31 33 28 20 14 9 7 7 8 10 14 17 18 19 18 16 15 16 17 17 17 15 13 10 8 8 10 12 14 15 15 15 15 15 15 15 15 15 15 13 11 11 12 11 11 11 10 10 9 8 7 8 10 12 15 14 13 10 8 7 6 6 6 7 7 7 7 6 6 6 7 7 7 7 7 8 9 9 9 9 9 9 9 9 10 10 10 10 9 10 10 11 11 11 11 10 10 11 12 13 14 13 13 11 10 8 7 8 8 8 8 8 7 7 8 9 9 8 7 7 7 8 9 9 10 10 11 12 15 18 19 18 18 17 17 15 14 12 9 5 1 -2 -4 -5 -3 3 8 11 13 13 11 11 12 14 16 17 17 nan
nan 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 11 10 10 9 8 8 9 10 11 12 12 12 13 18 26 30 31 28 19 12 8 7 7 8 10 13 16 18 19 18 18 17 17 18 19 18 16 13 10 8 8 9 11 14 15 15 15 15 15 15 15 15 15 13 12 11 12 12 12 11 10 10 10 9 8 8 9 11 14 16 13 10 7 5 4 4 5 6 7 9 9 9 8 7 7 7 7 7 7 7 8 9 9 10 10 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 11 12 13 13 12 11 9 8 8 8 9 9 9 8 8 8 9 10 10 10 9 9 8 8 9 9 10 11 13 16 20 22 20 18 16 14 14 13 11 9 6 2 -2 -7 -9 -8 -2 6 11 13 12 12 10 10 12 14 16 17 17 nan
nan 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 9 8 8 9 10 11 12 12 13 17 24 30 30 26 17 9 6 5 6 8 10 13 15 17 17 17 16 16 17 18 19 17 15 12 9 8 8 9 10 12 13 14 15 15 16 16 16 15 14 12 11 10 11 11 12 11 10 9 9 9 9 9 11 15 17 15 10 5 2 2 2 3 3 5 7 9 10 10 9 7 8 8 8 8 7 7 7 8 9 10 10 10 10 9 9 9 10 11 12 12 12 11 10 10 10 11 11 11 10 9 10 11 11 11 11 10 9 9 9 9 10 9 8 8 8 10 11 12 12 12 12 11 10 9 9 9 10 12 17 24 27 24 20 15 12 11 9 7 4 3 0 -4 -9 -12 -10 -2 7 11 12 11 10 10 11 12 14 16 17 17 nan
nan 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 12 12 13 17 23 28 29 24 17 10 6 5 5 6 9 12 14 15 15 14 13 13 15 17 17 16 13 10 8 7 7 8 9 11 12 13 15 15 16 17 18 17 16 15 13 11 11 11 11 11 11 9 8 8 9 12 14 19 20 14 7 1 -1 0 3 4 4 6 8 10 11 10 9 8 8 8 8 7 7 7 7 8 9 9 10 11 10 10 9 9 10 11 12 12 12 11 9 9 10 11 12 13 12 10 9 9 10 11 11 11 10 10 10 10 10 9 8 8 9 11 12 12 12 12 12 12 12 10 9 8 9 11 17 25 28 27 23 18 13 9 6 2 0 0 -0 -2 -9 -12 -9 -4 4 8 9 9 9 10 11 13 14 16 16 17 nan
nan 7 7 7 7 7 7 7 7 8 8 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 11 11 12 16 22 27 29 26 18 13 9 6 5 5 7 10 13 13 13 12 10 10 12 15 17 16 15 12 10 9 8 8 8 9 11 12 13 14 15 16 17 18 19 18 17 15 14 13 13 13 12 10 8 8 10 14 17 21 20 12 4 -2 -3 0 4 6 7 9 10 10 10 9 8 8 9 8 8 7 7 7 7 8 8 9 10 11 10 10 9 9 9 10 11 12 11 10 9 8 8 10 12 13 14 14 13 11 10 10 10 11 12 11 11 10 10 9 8 9 10 11 12 12 12 11 11 11 11 11 10 9 10 12 16 23 27 27 25 20 13 7 2 -1 -2 -0 1 1 -5 -9 -9 -6 -1 3 6 8 9 11 12 13 14 15 16 16 nan
nan 7 7 7 7 7 7 7 7 7 8 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 11 11 15 21 27 31 29 22 15 11 8 6 5 6 8 11 12 12 12 11 11 13 16 19 20 19 18 15 12 9 8 7 8 10 11 11 11 11 11 12 14 17 19 19 19 18 18 18 17 15 13 12 12 13 15 18 20 18 9 1 -4 -5 -1 5 10 12 13 12 11 10 8 7 8 8 8 7 7 7 7 8 8 8 9 10 11 10 10 9 9 9 9 9 10 10 9 8 8 7 8 10 12 15 17 17 15 13 11 10 11 12 12 12 11 10 9 8 8 9 10 12 13 13 11 10 8 7 8 8 9 12 15 18 21 25 25 24 20 13 5 0 -3 -2 0 3 4 0 -5 -6 -5 -3 1 4 7 9 12 13 14 14 15 15 15 nan
nan 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 11 11 14 20 27 30 31 24 16 12 9 6 5 5 7 10 12 12 13 14 14 17 20 23 24 23 21 17 13 9 8 7 8 9 9 9 9 8 8 8 8 10 14 16 18 19 19 20 20 19 18 18 17 17 17 19 18 14 7 -1 -5 -5 -1 6 13 16 16 14 11 9 8 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 10 9 9 9 8 8 9 8 8 8 7 8 9 11 15 18 19 18 15 12 10 10 11 12 12 12 11 9 7 5 6 8 11 13 13 12 9 6 4 3 3 6 11 15 17 19 21 21 20 17 11 4 0 -2 -2 1 4 6 5 1 -1 -2 -1 1 4 6 9 11 13 14 14 15 15 15 nan
nan 8 7 7 7 8 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 11 13 17 24 30 30 25 17 12 9 7 5 5 7 9 12 13 15 16 17 19 21 22 22 20 17 13 10 8 7 7 8 8 9 9 8 8 7 6 6 7 9 11 12 13 14 14 16 18 20 22 22 21 20 19 16 12 6 0 -3 -3 -0 6 14 17 17 15 12 10 9 8 7 6 5 6 7 8 8 9 9 9 8 8 9 9 9 10 10 9 9 9 8 8 8 8 8 8 7 8 9 12 15 17 16 15 12 10 9 9 10 11 12 12 11 8 6 5 6 8 11 12 11 9 5 2 -0 -1 0 5 9 11 13 15 16 16 14 10 5 2 -0 -0 2 5 7 7 6 3 2 2 2 4 6 8 10 12 13 14 15 15 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
31 31 33 33 32 32 32 32 34 34 34 33 33 34 34 30 26 25 25 27 27 29 28 32 34 33 29 25 23 23 24 24 20 17 18 19 16 15 13 8 6 5 6 5 5 6 7 8 10 11 13 15 16 18 18 18 17 17 18 18 19 19 18 17 16 13 10 10 8 8 8 6 6 7 7 7 5 4 3 3 4 4 5 6 6 6 6 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 2 2 2 3 3 2 0 0 20 93 221 351 426 364 210 77 16 0 0 3 11 41 67 146 236 302 356 394 413 417 431 475 539 588 594 562 534 541 563 594 610 605 599 611 617 638 673 742 882 1046 1158 1195 1199 1213 1231 1276 1519 1769 1636 1333 1227 1020 917 973 1077 1134 1117 1087 1145 1334 1523 1527 1357 1259 1238 1200 1106 1032 966 906 822 730 647 576 519 473 437 410 384 349 301 250 206 166 125 78 49
30 30 30 31 31 32 32 32 31 31 31 30 31 33 33 32 29 29 29 27 28 27 26 32 33 33 30 26 23 22 20 21 17 16 16 15 14 16 17 12 7 5 5 6 5 6 7 7 8 11 13 14 15 16 16 17 16 17 18 19 19 17 16 14 12 10 8 8 8 8 7 7 8 8 6 5 3 3 3 3 4 5 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 3 2 2 3 3 3 2 1 0 0 31 124 311 509 563 372 129 22 1 0 2 11 33 74 129 194 264 328 377 412 433 446 463 497 541 571 571 551 536 540 554 592 615 615 605 592 580 585 624 721 892 1051 1127 1146 1168 1212 1281 1264 1307 1548 1617 1419 1198 995 888 964 1072 1121 1103 1088 1174 1373 1514 1433 1222 1133 1120 1105 1064 1009 957 888 796 704 623 558 504 458 419 390 365 323 264 205 157 122 94 64 38
30 30 30 31 31 33 35 32 28 26 26 26 28 34 36 33 29 27 27 27 28 25 24 29 32 31 28 25 23 23 20 16 14 12 13 12 13 16 18 14 8 6 6 5 6 7 7 8 10 11 13 15 15 15 16 17 16 16 17 17 18 15 14 12 10 8 8 8 7 6 8 7 5 5 4 3 3 3 3 4 4 5 5 5 6 6 6 6 5 5 4 5 4 4 4 4 4 4 4 4 3 5 4 5 5 4 3 2 2 3 3 2 1 0 0 0 49 204 425 600 560 290 52 2 0 2 8 28 62 109 169 230 293 349 395 433 462 485 507 529 545 549 544 540 543 555 575 612 632 624 601 574 558 572 624 717 846 960 1032 1068 1098 1139 1185 1156 1074 1116 1247 1265 1150 1008 929 974 1063 1094 1086 1115 1238 1390 1410 1248 1105 1086 1094 1069 1014 952 885 811 738 664 595 537 487 439 390 345 308 261 201 143 98 69 50 34 16
34 32 31 30 29 32 36 30 23 22 24 25 27 31 30 27 24 23 22 23 27 25 25 28 30 28 25 23 23 24 21 15 11 8 8 11 14 16 16 13 8 5 5 6 7 7 7 7 9 11 13 15 16 16 15 16 15 16 15 15 15 14 12 12 10 9 8 8 7 6 5 4 3 3 2 2 3 3 2 3 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 4 3 4 4 4 3 3 3 3 2 1 0 0 0 10 74 315 543 619 455 184 12 0 0 6 24 46 85 137 198 258 314 366 415 462 502 533 555 564 558 542 528 530 547 574 603 634 646 620 593 565 547 554 588 636 692 764 843 915 974 1017 1029 982 910 988 1158 1217 1162 1064 995 1003 1058 1076 1098 1181 1290 1313 1212 1081 1048 1081 1069 1012 941 867 797 744 696 637 581 533 487 436 377 315 257 203 144 96 66 46 30 13 3
32 29 29 28 29 31 32 27 19 21 24 25 25 25 22 19 18 18 20 23 25 25 23 26 24 23 22 21 23 22 19 15 11 7 7 12 13 13 11 9 7 6 6 7 8 8 8 9 11 13 15 15 15 14 14 14 14 14 13 13 14 14 12 12 10 10 9 8 8 7 6 4 3 2 2 2 2 2 2 3 3 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 4 3 3 3 2 2 1 0 0 0 18 114 374 628 575 328 100 0 0 2 11 38 57 97 152 212 269 320 376 435 492 538 566 576 569 548 526 510 515 540 578 617 648 661 641 605 570 538 517 512 522 549 623 718 789 833 855 858 852 867 1041 1190 1222 1174 1101 1055 1058 1086 1092 1133 1215 1236 1162 1063 1022 1050 1065 1011 943 884 832 783 738 692 646 606 565 524 481 431 374 308 232 156 102 76 59 39 16 2
28 26 27 25 27 28 28 26 23 22 23 22 20 19 17 16 16 18 20 23 23 23 21 22 19 20 20 20 21 19 15 10 7 6 8 10 10 8 6 6 6 6 7 8 9 8 9 12 13 14 15 15 15 14 13 13 13 13 12 12 13 13 11 11 10 10 9 8 8 7 5 3 2 2 2 2 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 4 4 3 3 3 3 2 0 0 0 0 23 138 373 579 441 192 45 0 0 3 15 40 56 98 151 205 255 308 370 438 497 530 538 528 505 477 466 467 487 517 557 597 632 654 660 640 594 541 487 441 422 450 537 643 709 733 733 743 824 989 1158 1208 1205 1145 1096 1099 1132 1147 1130 1143 1162 1097 1027 1012 1044 1068 1033 956 912 896 875 834 776 715 670 648 624 592 564 540 513 468 388 285 200 160 130 93 51 20
21 20 22 23 23 25 25 25 24 22 21 19 16 13 16 17 17 19 21 21 21 20 18 17 16 19 15 15 15 15 13 9 6 5 7 8 7 6 5 6 6 6 8 9 9 8 9 11 12 14 15 15 15 14 14 13 13 12 11 11 10 11 10 9 8 8 8 8 8 6 4 3 2 1 1 2 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 1 0 0 0 0 42 174 343 404 246 67 11 0 0 2 10 27 48 85 134 174 215 265 328 390 436 444 424 395 368 357 367 394 432 466 497 532 572 611 643 651 614 553 488 422 378 386 454 548 624 647 640 676 817 989 1067 1095 1085 1050 1064 1136 1205 1217 1179 1141 1076 994 978 1020 1061 1055 999 944 946 980 970 906 816 730 681 674 670 638 610 602 606 595 546 460 368 312 273 217 144 82
22 21 21 21 22 23 21 21 20 20 20 18 15 15 17 16 18 20 20 20 20 19 19 18 16 17 15 14 13 12 10 8 5 5 6 6 5 5 5 6 6 6 8 8 8 8 9 11 13 14 14 15 15 15 14 14 13 12 11 11 11 10 9 8 7 7 7 7 7 5 3 2 2 2 2 2 3 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 1 0 0 1 6 109 248 301 236 103 14 0 0 0 0 3 13 33 64 100 129 158 197 244 289 312 305 274 245 233 240 261 296 340 375 398 424 459 503 549 582 577 534 479 419 368 354 391 467 544 573 579 660 786 892 944 965 977 989 1057 1165 1256 1278 1225 1124 964 912 958 1019 1032 996 950 946 1002 1065 1036 933 826 743 696 689 676 615 561 542 554 573 572 542 500 476 458 407 312 205
23 21 20 19 21 20 18 18 18 20 21 19 16 15 14 14 16 17 19 20 20 20 20 21 19 18 16 15 14 11 9 7 6 5 6 5 6 6 7 7 7 8 9 10 10 10 11 13 13 13 13 14 14 14 14 13 12 12 11 12 11 10 9 9 7 8 8 7 6 4 2 2 1 2 2 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 1 0 0 0 11 62 268 331 230 113 33 1 0 0 0 0 0 4 16 39 66 90 108 127 154 183 201 197 174 151 144 153 172 201 233 258 274 284 296 321 366 415 442 432 394 353 320 319 353 422 492 524 556 685 801 885 933 956 960 989 1074 1168 1253 1281 1193 1005 820 809 905 975 967 928 914 955 1037 1104 1082 981 878 808 770 742 687 571 459 408 423 473 523 555 574 596 608 567 457 317
23 20 17 16 19 19 17 17 17 18 21 21 17 15 13 13 14 16 17 21 22 20 18 21 21 17 16 15 13 11 9 7 6 6 7 6 7 8 8 8 9 9 11 12 12 13 15 15 14 13 12 13 14 14 13 12 12 11 10 10 10 10 9 8 7 7 8 7 5 3 2 2 1 2 2 3 3 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 0 0 0 1 31 153 375 334 143 42 7 0 0 0 0 0 0 0 4 18 40 61 74 78 92 122 150 158 140 112 101 103 115 132 146 157 164 163 158 161 184 215 240 242 222 200 213 267 335 400 455 496 553 695 821 910 937 922 924 990 1082 1126 1159 1115 978 811 718 749 839 893 892 900 945 1012 1069 1091 1076 1038 1012 983 946 890 777 577 368 276 295 381 481 560 613 653 678 619 472 318
24 21 18 17 19 19 17 15 14 16 18 17 14 11 12 14 15 16 19 22 23 21 19 20 19 17 16 15 13 11 10 9 9 8 8 8 9 10 9 9 10 11 11 13 14 14 17 16 14 12 12 12 13 13 12 12 11 10 9 9 8 8 8 8 7 6 7 7 5 3 2 1 2 2 2 3 4 4 4 4 4 5 5 6 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 0 0 0 1 37 172 300 203 61 9 1 0 0 0 0 0 0 0 0 5 15 28 43 50 64 103 146 162 141 103 83 80 88 94 97 99 100 97 88 82 85 90 93 88 77 77 115 200 300 367 417 466 532 643 760 820 827 829 871 953 1021 1007 977 842 744 707 727 776 811 817 835 915 1016 1074 1063 1005 964 1005 1089 1131 1120 1063 902 614 317 173 185 277 398 509 592 643 648 540 358 225
25 23 20 18 18 18 16 14 12 13 14 14 13 14 15 15 17 18 18 20 20 20 19 19 18 17 15 13 13 14 14 14 13 12 12 11 11 10 9 10 10 11 11 11 12 12 13 13 13 11 11 12 12 11 11 10 10 9 9 9 8 9 8 7 7 7 7 6 4 2 2 2 2 3 3 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 2 3 3 3 2 2 1 0 0 0 1 51 154 169 80 20 0 0 0 0 0 0 0 0 0 0 0 0 5 15 27 51 102 157 176 149 105 76 71 77 82 82 80 77 70 59 48 43 41 37 33 30 34 56 120 223 298 357 413 479 560 636 691 719 751 811 873 890 841 780 677 671 735 814 856 845 815 822 918 1020 1052 1011 931 879 924 1010 1049 1084 1082 930 618 286 110 97 152 247 372 499 579 553 389 230 139
23 23 20 19 18 17 15 14 12 12 13 14 14 14 15 14 15 16 15 15 15 15 15 16 16 16 15 15 17 18 17 17 17 16 17 17 16 12 10 9 9 10 11 10 10 10 10 10 10 9 11 12 11 11 10 10 10 10 9 9 8 8 8 7 7 7 7 5 4 3 2 2 3 4 4 4 4 4 4 4 4 5 6 6 5 5 4 4 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 3 3 2 1 0 0 1 5 107 163 103 30 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 39 93 157 188 171 132 97 80 76 81 83 77 67 53 37 22 16 15 13 11 12 16 25 48 114 193 277 350 423 505 591 668 719 740 749 745 725 693 668 657 706 795 867 897 888 855 834 866 934 975 989 972 947 945 926 878 912 973 872 590 269 81 46 64 114 214 353 451 454 382 190 105
18 18 16 16 18 17 16 15 16 14 14 13 13 12 12 12 10 12 11 12 12 12 14 15 16 16 17 18 19 18 18 15 16 18 21 23 21 13 9 8 8 9 10 12 12 11 10 10 9 9 10 11 11 11 10 10 10 10 9 8 8 8 8 7 7 6 6 6 5 4 3 4 4 4 4 3 3 4 4 4 5 5 6 6 5 4 4 4 5 5 4 3 3 3 3 3 3 3 1 1 2 2 2 2 2 2 2 1 0 0 0 2 41 198 222 104 26 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 22 66 132 190 208 188 146 104 81 80 80 70 51 32 17 6 3 3 2 1 1 1 5 17 43 122 222 309 403 514 632 729 785 768 661 579 558 581 629 690 762 826 866 880 874 850 820 806 826 889 985 1065 1086 1022 882 768 785 879 817 570 275 83 31 29 47 97 195 286 327 299 182 94
16 14 13 14 17 20 19 16 14 13 12 11 10 11 12 12 11 12 12 13 13 13 14 15 17 19 20 18 18 20 21 16 16 18 21 22 20 12 9 9 8 9 11 13 13 12 12 11 10 11 11 11 11 11 10 10 10 9 9 8 8 8 8 7 7 6 6 5 5 4 5 4 4 4 3 3 3 4 4 5 5 6 6 6 5 4 3 4 4 3 3 3 3 3 3 3 2 2 1 1 1 2 2 2 2 1 0 0 0 0 0 3 87 259 306 161 50 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 35 88 156 198 193 153 106 78 71 65 53 33 18 9 3 0 0 0 0 0 0 0 5 27 85 197 312 429 551 661 732 748 714 571 489 473 521 608 703 778 796 816 827 825 808 776 738 727 773 897 1018 1051 969 817 714 733 829 785 575 314 124 47 23 23 36 72 140 202 211 154 88
17 13 13 14 17 21 22 19 14 11 10 11 11 12 12 12 13 14 13 13 14 14 14 15 17 20 23 22 21 21 21 21 21 19 18 18 16 13 11 11 9 12 15 17 18 16 13 13 14 13 12 11 11 12 11 10 9 9 8 7 8 7 7 7 6 5 5 4 5 4 4 4 3 3 3 4 4 4 4 5 5 6 6 5 4 3 3 3 3 3 3 3 2 3 2 2 2 2 2 1 1 2 2 1 1 1 0 1 3 6 1 5 126 292 343 219 69 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 43 95 140 135 101 77 66 63 58 48 32 20 16 14 9 3 0 0 0 0 0 7 29 85 197 327 427 491 534 569 591 584 539 497 467 501 580 661 705 705 729 767 796 809 788 737 690 681 755 863 909 878 804 744 755 816 788 621 392 204 91 28 13 16 28 55 93 123 118 83
20 17 16 17 18 18 20 19 13 12 12 12 12 11 11 11 12 13 14 15 16 16 16 16 17 17 17 16 18 19 20 20 19 19 18 18 17 16 14 12 11 15 15 16 18 17 14 13 14 13 12 11 10 11 10 9 9 8 8 7 8 7 7 6 6 6 5 4 4 4 3 3 3 3 3 3 4 4 4 5 5 6 5 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 0 0 0 0 2 9 17 1 6 148 280 280 162 47 2 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 2 15 46 82 82 68 69 75 87 98 97 75 44 28 22 13 4 0 0 0 0 3 13 39 101 204 312 362 348 325 333 380 451 511 532 512 511 540 580 609 626 661 711 746 762 751 721 679 636 626 660 705 725 733 745 769 801 804 704 506 314 152 40 10 8 18 33 58 84 94 75
27 23 21 18 15 14 15 16 15 14 13 12 11 11 11 11 12 14 16 17 18 17 16 16 17 18 18 19 20 20 20 20 20 21 22 23 22 21 18 16 15 16 16 18 19 16 15 15 16 14 12 11 10 10 10 9 8 8 7 7 7 7 6 6 5 5 5 4 4 4 3 3 3 3 2 3 4 4 4 5 5 5 4 3 2 2 1 1 2 2 2 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 2 7 10 0 5 126 194 143 51 8 0 0 4 8 8 4 0 0 0 0 0 0 0 0 0 0 0 0 4 18 39 54 65 77 123 168 189 179 137 77 35 25 14 7 2 0 0 2 17 30 60 122 205 274 292 262 245 261 303 364 437 502 521 496 484 499 536 585 629 658 675 690 696 695 677 623 545 524 557 603 667 737 798 843 865 816 627 421 218 71 17 6 13 23 38 58 68 57
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