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
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nan 3 4 5 5 4 4 3 3 3 3 3 2 2 2 3 3 4 4 5 5 5 5 4 3 2 0 0 2 4 5 5 5 5 6 9 13 19 23 20 11 6 5 5 5 5 5 5 5 4 4 5 6 7 8 8 9 9 9 8 8 9 8 7 6 5 5 5 6 7 8 7 6 5 5 7 8 8 7 5 3 3 5 10 13 13 11 9 8 7 6 6 6 6 6 6 6 7 7 7 7 7 7 8 10 11 14 19 23 22 16 10 8 7 6 5 5 5 6 8 12 14 13 11 8 7 7 9 11 13 16 22 31 40 nan
nan 3 4 5 5 5 4 3 2 2 3 3 2 3 3 3 4 4 4 5 5 5 6 5 4 3 2 2 3 4 5 5 5 5 6 7 9 13 14 12 9 6 5 5 5 5 5 5 4 4 5 6 8 8 8 8 9 10 8 6 6 8 9 8 7 6 6 6 6 7 8 8 7 6 5 5 7 7 7 5 3 2 4 9 11 10 9 8 7 6 6 6 6 7 7 7 7 7 8 8 8 8 9 11 12 14 15 15 15 14 11 9 8 7 5 5 4 5 5 5 6 7 7 7 6 6 6 8 10 11 14 20 32 45 nan
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nan 8 8 8 9 10 10 9 7 6 7 7 7 7 6 7 7 7 7 7 8 8 8 7 6 5 5 6 7 8 9 9 9 8 8 7 7 6 6 6 6 7 8 8 8 8 6 6 6 7 7 7 7 8 9 9 9 8 7 7 6 6 6 7 8 9 9 8 7 7 6 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 10 10 10 10 8 6 1 -4 -5 -4 -2 0 1 2 2 3 4 5 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 nan
nan 9 9 9 10 11 10 8 6 7 7 8 7 7 7 7 7 7 7 7 8 9 9 8 7 6 6 6 6 7 8 9 9 9 8 8 7 7 6 6 6 6 7 8 8 8 6 6 6 6 6 7 7 9 9 8 8 7 7 7 7 7 7 8 9 10 9 8 7 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 5 1 -2 -4 -4 -3 -2 -1 -0 0 2 4 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 nan
nan 9 10 10 10 10 9 7 6 6 7 7 7 7 7 7 7 7 7 7 8 9 9 8 8 8 7 6 6 6 7 9 9 10 10 9 8 7 7 6 6 7 7 8 8 7 7 7 6 6 6 6 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 8 6 5 5 5 5 6 7 7 8 8 8 7 7 8 8 8 8 8 8 9 9 8 8 8 9 7 4 1 -1 -1 -0 -1 -2 -2 -2 2 5 6 7 7 6 6 6 6 6 6 6 6 6 7 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 nan
nan 8 9 10 10 9 8 7 7 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 8 7 6 6 6 7 9 10 11 11 10 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 6 6 5 6 7 7 8 8 9 8 8 7 8 8 8 8 8 8 9 9 8 7 8 9 9 8 7 5 5 5 4 1 -3 -4 -1 3 6 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 8 8 7 7 7 7 7 6 6 6 6 6 nan
nan 8 8 9 9 9 8 6 6 7 7 7 7 7 7 7 7 7 6 6 6 7 8 8 9 9 9 8 7 6 6 6 8 9 11 11 11 10 10 9 8 8 9 8 7 7 6 6 6 6 7 8 9 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 8 7 8 8 8 9 9 9 8 8 8 5 -0 -4 -3 1 4 6 7 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 nan
nan 8 9 9 10 9 7 6 6 6 7 7 7 7 7 7 7 7 6 6 5 6 8 8 8 9 8 8 7 6 7 7 7 7 8 8 9 11 10 10 9 8 8 8 7 7 6 6 6 6 7 8 8 8 7 7 8 9 9 10 9 9 9 8 8 7 6 6 7 7 8 8 8 9 8 8 8 8 8 7 6 6 7 7 7 8 8 9 8 7 8 8 8 8 8 9 10 9 8 8 7 3 -0 -2 -1 1 4 6 7 8 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 8 8 7 7 7 6 6 6 5 nan
nan 9 10 11 10 9 7 5 5 6 7 7 8 7 7 7 7 7 7 6 6 6 7 8 8 8 7 6 5 6 7 7 7 6 6 6 7 9 10 9 9 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 8 9 10 10 10 9 9 9 8 7 6 6 6 7 8 9 9 9 9 8 8 9 8 7 6 5 6 6 7 8 9 9 7 7 7 8 8 7 8 9 10 9 8 8 8 7 5 2 -1 -2 0 3 6 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 8 8 7 7 7 6 6 6 5 nan
nan 9 11 12 10 7 5 5 5 5 7 7 8 8 7 7 7 8 8 7 7 7 8 8 8 7 6 5 5 5 6 7 7 7 5 5 6 7 8 9 9 9 9 8 6 5 5 6 6 7 7 8 7 7 7 7 7 7 8 8 9 9 9 9 8 7 6 6 7 7 8 9 9 9 9 8 8 8 8 7 6 5 5 6 7 8 9 9 8 7 8 8 8 8 8 9 10 10 9 8 9 9 8 6 3 0 -1 -0 2 4 6 6 6 6 6 6 7 7 6 6 6 6 6 7 7 7 8 7 7 7 7 6 6 6 nan
nan 9 11 11 9 7 5 5 5 5 6 7 8 8 7 7 8 9 9 8 8 8 8 8 8 7 6 6 6 6 6 7 7 7 5 5 6 6 6 7 8 8 9 7 5 4 4 5 6 7 8 8 8 8 7 7 6 6 6 6 7 8 8 8 8 8 8 7 7 8 8 9 9 9 8 8 8 8 8 7 6 6 6 6 7 8 9 9 9 8 8 8 8 8 8 9 10 10 9 9 9 9 9 9 7 5 2 -0 -1 1 3 5 6 6 6 6 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 nan
nan 8 10 10 8 7 6 6 5 5 6 7 7 7 7 8 9 10 10 9 8 8 8 8 8 8 8 8 8 7 6 6 7 6 5 5 6 7 6 6 6 8 8 7 5 5 5 5 6 6 7 8 8 9 8 8 7 7 6 6 6 6 7 6 7 9 9 9 8 8 9 9 9 8 8 9 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 8 8 9 9 10 10 9 9 9 9 9 9 9 8 8 6 4 1 1 2 4 6 6 6 6 6 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 nan
nan 8 8 8 8 8 8 7 6 5 5 6 7 7 8 8 10 10 11 10 8 8 8 8 7 7 8 8 7 6 5 6 7 7 7 8 9 8 7 6 7 7 7 7 6 6 6 6 6 5 6 7 8 8 9 9 9 8 7 6 5 5 5 4 5 8 10 10 8 8 9 9 8 8 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 8 7 8 9 9 9 9 9 8 8 8 7 6 4 4 5 7 7 6 5 4 6 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 6 nan
nan 7 7 7 8 9 9 8 7 5 5 6 7 7 7 9 10 11 11 10 8 8 7 7 6 5 6 6 6 5 4 5 7 8 9 10 11 10 9 8 8 8 7 7 7 7 8 7 6 6 6 7 7 7 8 9 9 8 7 6 5 5 4 3 5 8 9 9 8 8 8 8 8 8 8 9 8 7 6 6 7 8 8 8 9 10 9 8 8 7 7 8 9 9 10 9 7 7 8 8 9 9 9 8 9 9 9 9 8 8 7 7 7 7 6 3 2 5 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 nan
nan 6 6 6 8 9 9 9 8 7 5 6 7 7 7 8 9 10 10 9 8 7 6 6 6 5 4 5 5 5 5 5 5 7 9 10 11 10 9 9 9 8 7 7 8 8 8 8 7 7 8 8 7 6 6 7 7 7 6 6 5 4 4 4 5 7 8 8 8 8 8 8 7 7 8 9 8 7 6 6 7 8 9 10 11 11 10 8 7 6 6 7 7 8 8 7 7 7 8 8 8 8 8 8 9 10 10 9 9 9 9 8 7 6 3 1 3 6 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 nan
nan 6 6 7 8 8 9 9 9 8 6 5 6 6 6 7 8 9 9 8 7 6 6 6 6 4 4 5 6 6 6 5 5 5 6 8 9 8 8 8 8 8 7 8 8 8 8 7 8 8 9 9 7 6 6 6 6 6 6 6 6 5 4 4 4 5 6 7 8 9 9 8 8 7 8 9 8 7 6 5 7 9 11 12 12 11 10 8 7 6 5 6 6 6 5 6 7 7 7 7 7 7 8 8 9 10 10 9 9 9 9 9 8 5 2 1 5 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 nan
nan 7 6 6 7 8 9 10 11 9 7 5 6 6 6 6 7 8 9 8 7 6 5 5 5 4 4 5 6 7 7 7 6 5 5 6 7 6 5 6 8 8 9 9 8 8 7 7 7 8 8 9 8 7 8 8 7 6 7 8 8 6 4 4 4 5 5 6 8 9 9 9 8 8 8 9 8 7 5 5 7 10 13 13 12 10 8 7 6 6 6 5 5 5 5 6 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 7 4 2 3 7 9 9 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 nan
nan 7 7 6 6 8 9 11 11 9 7 5 5 6 6 7 8 9 9 8 7 6 5 5 5 5 5 6 6 6 6 7 7 6 5 6 6 6 5 5 7 9 10 9 9 8 7 7 7 6 7 7 8 10 10 10 9 8 8 9 9 8 6 5 4 5 5 6 6 7 7 8 8 9 9 9 8 7 6 6 8 11 13 12 11 9 7 6 6 6 6 6 6 6 7 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 8 6 3 2 5 9 10 8 7 7 9 10 10 9 9 8 8 8 8 8 7 7 7 nan
nan 7 7 6 7 9 10 11 11 9 6 5 4 5 6 7 9 10 9 9 7 7 6 6 6 6 6 6 6 5 5 6 6 6 6 7 7 7 6 5 6 7 8 9 9 9 8 8 7 7 7 7 8 10 10 10 9 8 7 8 9 9 8 7 6 6 6 6 6 5 5 6 8 10 10 9 7 6 7 8 9 10 11 11 9 8 6 6 6 6 6 6 7 7 8 8 8 7 7 7 7 8 8 8 8 9 9 9 10 9 9 7 6 4 4 7 9 9 7 6 6 7 8 9 9 9 8 8 8 8 8 8 8 8 nan
nan 7 7 8 9 10 10 10 10 8 5 4 4 5 6 7 8 9 10 10 9 8 7 7 7 6 6 6 6 5 5 5 5 5 7 8 8 8 7 6 5 5 6 8 10 10 10 9 9 9 10 8 7 8 8 9 8 7 7 8 10 11 11 9 7 5 6 6 6 5 5 6 7 9 9 7 6 6 7 9 10 10 10 9 9 7 6 6 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 10 10 10 9 9 8 7 7 8 9 8 7 6 5 4 4 6 8 8 8 8 8 8 8 8 8 8 nan
nan 7 8 8 9 10 10 10 9 7 4 3 4 5 6 7 7 9 10 11 11 9 8 7 7 6 6 6 6 5 5 4 4 6 8 9 9 8 7 6 5 4 5 7 10 11 11 11 11 12 11 9 8 7 7 8 9 8 9 10 11 11 10 8 5 4 5 6 7 7 6 6 7 7 7 6 5 5 7 9 9 9 9 9 8 7 7 8 9 9 9 8 7 7 7 7 6 6 6 7 8 8 8 8 9 9 9 9 10 10 10 10 9 10 10 10 10 9 9 8 5 2 1 3 7 8 8 8 8 8 8 8 8 8 nan
nan 7 7 8 8 9 10 10 9 6 3 3 4 5 6 7 7 9 10 11 11 10 8 7 6 6 6 5 5 5 4 4 5 7 10 11 10 9 8 7 5 5 5 7 9 10 10 11 12 12 11 10 10 10 10 11 11 11 12 12 11 10 9 7 5 4 5 6 7 7 7 7 7 7 7 6 6 6 7 8 9 8 9 9 8 8 8 8 9 9 8 8 8 7 7 6 6 5 6 7 8 8 8 8 9 9 9 9 10 11 11 10 9 10 11 11 10 10 10 10 7 2 -1 1 6 8 8 8 8 8 8 8 8 7 nan
nan 7 6 7 8 9 10 10 9 6 4 3 3 5 6 7 8 9 10 11 11 9 8 7 7 6 5 5 5 5 5 5 6 8 10 11 10 9 8 7 6 5 5 7 8 9 8 8 9 11 11 11 12 13 13 14 13 13 13 12 11 9 9 8 6 6 5 5 6 7 7 7 7 7 7 6 6 7 8 9 9 8 8 8 8 8 7 7 7 8 8 8 8 7 7 6 5 5 6 7 8 8 8 8 8 9 9 9 10 11 11 10 9 9 9 9 7 6 7 9 8 4 0 3 6 7 7 8 8 8 7 7 7 7 nan
nan 8 7 7 7 9 9 10 9 7 5 4 4 5 6 8 9 10 11 10 9 8 8 8 7 6 5 5 5 5 6 7 8 9 9 9 8 8 7 6 6 6 5 6 7 7 7 7 7 9 10 11 12 13 14 15 15 15 14 13 11 9 9 9 9 8 7 6 5 6 6 6 7 7 7 7 7 8 9 9 9 8 8 7 7 7 6 6 6 6 7 7 8 7 6 6 6 6 6 7 7 7 8 8 8 9 9 10 10 10 9 9 8 7 7 5 1 -1 1 5 7 5 3 5 6 7 7 7 7 7 7 7 7 7 nan
nan 8 7 7 7 8 9 9 9 8 6 5 4 5 6 8 10 11 11 9 7 7 8 9 8 7 6 6 6 6 7 9 10 10 8 6 6 6 6 7 6 6 5 5 6 6 5 5 6 8 9 9 9 10 11 13 14 15 16 15 13 11 11 11 11 11 9 7 6 5 5 5 6 7 8 7 8 9 10 10 10 9 8 7 7 6 5 5 4 5 6 6 7 7 6 6 6 6 7 7 7 7 8 8 8 8 9 9 9 8 8 7 7 7 6 3 -1 -3 -3 0 3 4 5 6 6 6 7 7 7 7 7 7 7 7 nan
nan 9 8 7 7 8 9 9 9 8 7 6 4 4 6 8 10 11 10 8 6 7 8 9 9 8 7 7 7 7 7 8 9 9 8 6 5 6 7 8 7 6 6 6 6 6 5 5 6 7 8 7 7 7 7 8 10 12 14 15 14 13 12 12 13 12 11 10 8 7 5 5 5 6 7 8 8 9 10 10 10 10 9 8 7 7 6 6 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 6 5 3 2 0 -1 -0 1 4 5 6 6 7 7 7 7 7 7 7 7 nan
nan 9 8 7 7 8 8 8 8 8 7 6 4 4 5 8 10 12 11 9 8 8 8 9 9 8 7 6 6 6 7 8 9 9 7 5 6 7 9 10 9 7 6 6 6 7 6 6 6 7 8 7 7 7 7 6 7 9 10 11 11 11 11 12 13 13 13 12 11 9 7 6 6 6 7 7 8 9 10 10 10 10 10 9 8 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 8 8 7 7 8 8 8 7 5 0 -3 -1 3 6 7 7 7 7 7 7 7 8 8 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
23 22 19 21 14 11 12 16 19 21 20 17 14 14 15 18 21 30 38 40 46 46 41 40 51 71 113 203 253 90 22 21 97 306 485 634 789 899 868 644 308 202 312 308 201 100 85 112 95 50 28 18 15 18 18 17 22 18 14 13 10 4 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 5 13 14 15 100 370 578 604 668 689 639 532 402 263 143 76 47 49 109 226 350 406 416 357 411 462 534 619 625 534 526 627 605 542 592 561 536 503 569 523 437 412 414 436 419 407 396 431 514 593 642 702 787 867 945 1021 1055
31 35 43 54 30 19 15 17 25 30 26 20 17 17 21 32 55 64 62 61 56 51 42 35 39 49 74 158 270 105 30 17 76 216 340 473 685 904 933 676 331 278 369 334 199 108 98 97 62 30 23 22 24 21 17 15 13 12 10 7 4 1 0 0 2 0 1 0 0 0 0 0 0 0 0 0 0 0 4 18 20 16 133 398 637 828 1069 1112 804 488 272 136 66 43 44 70 134 246 347 377 356 317 355 480 614 692 640 535 637 878 950 551 584 544 500 474 448 410 371 398 646 979 976 771 637 583 666 779 826 837 860 892 933 995 1024
55 68 92 104 72 34 17 18 30 40 39 31 26 29 40 75 103 113 112 109 97 84 67 48 33 23 29 65 179 98 35 22 59 132 209 310 496 791 1085 1136 696 488 397 301 190 118 92 68 36 23 22 30 27 20 17 14 10 7 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 18 22 26 138 374 588 854 1159 1053 590 298 144 70 42 36 41 59 97 215 319 371 327 237 211 276 471 707 765 690 717 862 1096 799 628 512 440 406 385 353 313 273 404 613 702 630 530 458 508 643 676 699 787 884 906 911 906
62 88 120 134 95 45 19 20 37 56 66 68 62 69 90 126 148 164 185 207 210 180 132 87 53 33 26 28 97 70 28 30 79 117 139 190 282 492 751 821 659 472 332 244 160 92 60 36 19 17 19 27 24 17 16 15 9 4 2 3 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 15 34 61 161 352 418 605 695 515 270 134 75 48 35 28 28 32 46 142 267 350 290 186 162 260 496 833 1087 911 712 652 764 701 611 504 384 297 245 228 172 114 103 156 169 221 274 275 299 405 548 674 819 934 945 914 979
61 96 133 136 94 48 20 24 49 81 115 147 156 149 150 169 189 220 261 312 331 297 224 142 86 61 45 40 60 46 22 42 108 134 112 136 172 246 359 387 369 303 218 159 98 42 24 12 7 11 16 19 17 14 15 12 7 4 1 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 13 45 113 256 368 343 358 269 171 109 77 55 38 30 28 27 31 55 121 235 303 249 186 207 283 504 1046 1668 1272 881 721 698 648 584 498 338 224 138 123 88 34 31 82 108 139 191 220 267 398 609 772 892 971 962 950 1154
64 96 130 126 85 42 17 30 64 105 158 217 248 225 198 223 275 324 368 436 476 434 320 195 111 68 51 48 49 49 69 113 144 133 112 116 125 148 200 242 240 211 135 66 31 10 4 2 3 8 13 13 18 17 15 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 4 28 111 353 386 332 252 152 91 76 67 47 31 25 26 29 41 65 135 236 292 284 286 382 606 977 1518 2014 1691 1333 1143 1000 828 660 471 259 166 121 121 122 98 92 103 110 135 186 213 224 317 513 664 773 844 845 778 760
67 93 115 120 83 46 30 45 77 117 169 222 252 233 229 276 355 483 555 654 732 616 372 214 134 52 29 46 45 45 77 130 155 131 119 125 136 163 181 170 128 102 61 18 5 1 1 3 7 7 10 14 17 16 12 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 35 173 419 416 313 191 104 69 61 54 40 30 23 23 25 46 82 144 227 303 348 409 628 987 1435 1774 1895 1717 1453 1207 955 665 389 286 206 162 171 201 219 202 173 167 170 181 193 191 195 273 382 463 518 565 600 610 608
66 97 104 111 87 58 47 54 81 123 165 191 210 189 214 287 357 589 779 852 816 606 329 223 205 77 43 55 45 47 95 162 185 169 170 180 164 191 186 137 81 36 10 2 0 2 1 3 3 5 7 8 6 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 21 76 272 425 353 217 112 65 52 47 41 37 32 26 25 30 58 109 166 231 320 441 627 821 1065 1305 1407 1306 1131 916 644 434 308 210 199 209 247 309 366 389 367 327 298 265 231 215 176 154 196 283 341 341 345 377 419 485
70 101 117 115 102 79 58 55 79 123 165 159 173 168 220 338 487 709 917 1025 995 790 400 286 256 103 93 98 81 101 173 228 222 231 210 130 101 123 100 46 14 6 2 0 2 10 3 2 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 0 2 9 19 29 38 57 141 269 296 216 121 63 47 45 44 40 40 38 39 43 66 121 190 242 282 380 537 736 761 725 663 556 471 443 381 250 188 194 209 213 270 384 504 596 646 672 660 463 333 244 178 127 104 107 180 308 333 326 322 325 323
79 105 126 130 135 125 95 75 94 136 172 151 171 215 294 448 682 886 1017 1095 1071 934 582 382 239 134 150 143 106 118 235 359 230 216 148 91 54 49 35 18 13 11 3 1 1 12 5 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 17 28 51 73 88 92 101 170 200 161 102 61 48 50 53 53 50 51 60 85 124 189 289 369 407 445 537 614 601 460 308 227 189 181 206 200 193 222 232 230 254 360 496 636 741 711 635 521 389 240 144 94 80 84 113 208 331 383 431 435 420 392
104 114 144 146 160 158 130 115 128 158 194 210 236 303 411 556 764 980 1109 1050 805 691 477 292 177 131 118 91 71 109 230 318 169 119 69 52 55 41 20 8 4 3 2 1 0 5 4 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 36 67 101 127 139 136 119 117 143 129 88 58 48 50 55 59 61 63 74 128 237 377 532 679 716 730 771 767 684 474 231 101 94 107 129 141 133 137 158 203 260 327 383 431 488 490 351 261 150 88 68 60 59 69 86 127 229 315 378 451 460 473 512
131 139 170 155 156 160 151 144 143 163 194 206 251 357 498 701 1086 1406 1310 912 521 398 284 162 99 66 38 37 69 134 217 190 93 66 55 48 24 7 9 11 4 2 2 1 1 2 2 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 27 60 97 136 145 150 144 119 113 106 86 62 50 58 61 63 68 71 82 124 287 602 946 1139 1122 1050 958 902 786 593 344 157 92 90 97 101 95 97 99 110 138 164 179 194 215 222 175 96 61 41 38 40 47 57 72 86 106 155 213 282 303 289 303 363
157 175 181 157 149 161 166 158 161 183 203 216 276 403 595 924 1283 1363 1046 611 341 257 181 93 53 35 35 66 110 143 156 93 51 43 46 38 23 9 9 16 6 2 2 0 2 3 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 16 46 76 89 119 106 108 119 125 123 99 74 72 75 81 81 84 85 85 103 210 498 878 1111 1218 1170 877 664 534 404 272 167 113 104 109 111 103 93 88 82 75 72 76 83 86 91 88 64 45 41 42 44 46 51 57 66 73 83 112 119 145 148 122 111 138
205 205 192 170 165 185 209 217 210 215 240 304 379 508 722 1002 1157 1008 669 407 242 165 97 51 33 44 94 145 141 104 68 26 19 33 51 41 24 13 13 20 3 2 1 0 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 3 18 55 100 97 106 89 85 101 123 119 95 86 90 96 96 94 92 89 87 102 207 422 580 542 371 210 210 191 145 112 105 110 115 121 118 106 92 81 74 68 63 59 57 59 58 59 59 57 54 56 62 62 57 52 50 50 53 62 68 66 68 66 50 33 41
251 236 217 201 202 229 280 313 253 285 338 422 515 623 761 899 942 805 545 336 187 113 65 50 59 109 175 177 100 58 44 37 45 77 67 27 3 12 45 66 1 1 0 0 3 3 2 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 45 111 120 111 109 113 122 126 112 94 100 109 115 113 108 96 86 81 84 121 182 162 96 41 35 50 65 81 98 110 109 102 93 89 83 72 64 61 61 60 58 57 58 59 62 66 72 76 78 77 68 56 46 44 44 46 50 52 51 48 41 33 26 31
278 245 221 223 246 287 341 346 301 398 482 543 591 633 685 757 795 671 424 280 157 93 70 75 111 153 146 79 48 70 54 44 51 77 63 23 0 8 32 51 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 30 99 136 147 156 171 197 207 159 116 115 126 128 127 129 110 87 76 72 74 75 56 39 37 48 60 72 84 93 94 86 79 76 74 69 62 57 56 58 59 61 61 62 65 69 76 84 90 88 77 63 53 46 46 47 48 50 49 46 41 34 32 31 35
303 258 225 222 262 337 390 398 443 522 578 583 564 564 605 691 749 592 406 250 145 86 73 104 161 168 80 15 43 74 52 43 46 45 29 10 0 0 0 0 0 0 0 0 0 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 10 40 87 121 161 214 262 285 273 200 149 150 159 168 162 151 129 96 75 69 63 58 49 42 43 52 61 65 64 65 65 64 64 65 64 60 54 51 51 55 57 58 59 62 66 71 77 84 86 83 71 62 60 58 57 54 53 54 53 49 43 41 39 39 38
315 263 221 209 266 385 456 502 583 589 582 542 505 518 588 663 652 515 351 224 134 81 85 135 185 157 35 6 30 40 29 18 12 7 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 0 0 0 0 0 0 0 0 0 0 2 11 31 56 69 101 196 310 336 264 218 227 212 201 194 181 159 130 100 80 74 67 61 55 49 45 44 45 44 40 41 43 47 50 52 53 51 48 47 48 49 52 54 56 59 64 68 73 76 76 77 71 68 69 69 66 60 55 56 56 55 53 50 48 44 38
278 235 215 236 319 456 542 576 618 572 517 477 487 540 587 591 528 415 293 205 132 81 97 159 184 117 20 3 11 20 10 4 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 0 0 0 0 0 0 0 0 0 1 7 17 27 36 69 160 268 269 201 214 257 227 196 183 171 146 117 99 90 82 75 69 63 56 50 45 39 34 32 32 33 35 38 40 42 45 47 47 46 47 49 53 56 60 64 67 70 70 69 71 70 69 68 67 65 58 52 52 55 55 56 55 51 45 37
220 213 215 256 360 509 611 621 577 502 443 431 475 535 543 483 410 326 260 205 147 100 105 158 180 99 8 3 8 28 13 2 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 0 0 0 0 0 0 0 0 0 0 0 5 15 25 34 53 88 118 115 132 160 172 149 133 127 118 109 101 97 94 88 81 74 68 60 52 47 42 37 34 32 31 32 34 36 40 43 44 44 44 44 47 51 56 61 66 68 68 68 67 68 67 64 60 57 54 50 49 50 53 53 54 53 50 43 36
179 190 208 253 362 517 616 583 488 409 384 419 491 532 474 375 322 277 247 201 151 112 106 136 158 113 5 3 5 11 6 2 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 0 0 0 0 0 0 0 0 0 0 0 5 16 26 30 39 55 59 59 75 91 89 84 85 88 90 90 88 86 84 81 76 70 64 58 53 49 44 40 35 33 33 33 34 35 37 38 39 40 41 42 46 52 58 63 68 68 68 68 67 66 65 60 52 50 53 48 49 48 50 51 50 49 47 37 30
157 166 195 260 400 532 567 512 419 357 360 411 457 444 363 294 265 242 218 188 145 108 95 104 109 104 36 13 5 2 2 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 5 14 24 31 38 40 36 39 46 53 55 55 59 62 64 68 69 69 67 68 68 67 65 62 57 53 48 44 38 34 34 34 33 33 31 33 35 38 41 44 47 52 57 61 64 63 62 62 61 57 55 52 44 48 52 47 47 48 46 45 44 44 40 31 27
153 145 168 258 427 525 509 453 376 338 355 400 424 380 280 231 216 205 191 166 131 97 78 70 51 56 44 34 24 10 1 0 0 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 1 3 8 18 28 42 41 37 37 39 41 40 41 43 47 52 54 56 57 58 60 63 65 66 66 59 55 50 45 39 35 33 30 27 32 32 33 35 38 41 44 46 48 53 57 57 56 55 53 51 47 43 40 39 43 45 44 42 38 35 35 35 33 29 25 22
133 120 140 231 374 452 441 403 364 335 337 359 353 314 250 210 179 162 148 133 110 84 66 50 19 12 16 19 13 4 0 0 0 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 1 3 12 22 36 39 38 35 35 36 37 39 43 46 48 49 50 51 52 54 57 59 58 53 51 48 45 42 39 36 32 26 30 33 33 34 35 35 36 37 40 43 48 50 49 48 46 44 41 38 35 36 34 35 33 30 29 29 28 24 25 23 22 21 19
104 111 140 207 303 358 366 332 328 315 301 325 351 339 292 244 184 169 159 137 103 71 57 38 12 2 1 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 1 7 22 34 34 34 35 34 36 38 40 43 46 46 46 46 47 48 50 51 50 45 41 39 39 39 39 38 35 33 26 27 28 29 30 31 31 33 36 39 41 42 42 40 37 34 31 29 28 25 25 25 25 23 22 21 18 18 17 17 16 15 15 14
84 98 130 192 256 276 307 305 311 304 274 254 235 189 165 201 224 262 255 185 108 71 55 34 14 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 5 31 34 31 31 34 36 38 41 42 44 45 45 45 45 45 45 44 43 38 34 32 32 32 32 31 31 31 30 27 22 22 24 27 29 30 31 32 33 33 33 30 26 21 18 15 15 14 13 14 14 14 13 10 12 8 8 9 9 7 6 5 6
51 46 63 142 213 239 268 283 287 263 207 156 131 111 92 107 142 177 178 144 106 81 62 35 11 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 16 24 25 28 32 38 41 44 45 45 45 45 44 42 40 39 37 31 27 24 21 19 18 20 16 17 19 20 20 19 18 20 25 26 24 24 22 25 23 17 13 10 8 7 6 4 2 3 3 3 4 4 1 2 1 2 1 1 1 2 1 1
12 7 11 56 98 149 183 206 207 179 136 87 73 69 66 49 39 44 56 65 69 60 47 24 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 12 17 21 26 31 37 41 42 42 41 40 38 36 34 31 29 23 20 15 10 6 4 7 6 7 8 10 13 14 14 15 16 15 15 15 12 10 7 7 6 5 4 4 4 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0
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