Vorticity
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nan 5 5 5 5 6 6 5 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 7 9 12 16 19 17 13 8 6 5 4 4 4 5 6 7 8 8 8 9 9 10 10 10 9 7 5 4 4 3 3 2 1 2 3 4 6 8 9 8 7 6 6 6 6 5 4 5 6 6 6 7 8 8 7 6 3 -1 -1 1 3 4 4 4 4 3 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 6 6 6 7 6 5 4 5 5 5 5 5 6 7 8 12 17 24 28 30 28 24 18 14 11 11 10 10 9 nan
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nan 8 8 7 8 9 9 9 7 6 6 6 6 6 6 7 7 8 8 8 8 8 8 7 5 4 5 7 8 9 9 8 8 7 7 6 6 7 7 7 7 7 8 8 8 7 7 7 7 8 8 7 7 8 9 9 10 9 9 8 7 7 6 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 9 9 9 9 9 10 10 10 9 9 7 3 -2 -4 -2 1 3 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 8 8 8 9 9 8 7 6 6 6 6 6 7 7 7 7 7 8 9 9 8 7 5 4 5 6 7 8 9 9 9 8 8 7 7 7 7 6 6 7 7 8 8 8 7 6 7 7 7 7 7 8 8 9 9 9 9 8 8 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 9 9 9 9 10 10 10 9 8 6 1 -3 -3 -2 0 2 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 9 9 9 9 10 9 8 7 7 7 7 7 7 7 6 6 7 8 9 10 9 9 8 7 6 5 5 6 7 9 10 9 9 8 8 8 7 7 6 6 6 7 8 8 8 7 6 7 7 6 6 7 8 9 8 8 8 9 9 8 8 7 8 9 9 9 8 7 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 6 3 -1 -2 -2 -0 1 2 2 3 3 5 6 7 7 7 7 7 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 9 9 9 10 10 9 7 6 6 6 7 7 7 7 6 6 6 8 9 10 9 9 8 8 7 6 6 5 6 8 9 9 10 10 10 9 8 7 7 7 7 7 7 7 7 6 7 7 6 6 7 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 7 6 5 5 5 6 6 7 8 8 8 7 7 8 8 8 8 8 8 8 9 8 8 8 9 8 5 2 1 1 1 1 0 -0 0 3 6 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 9 9 9 10 10 9 7 6 6 6 7 7 7 7 7 6 6 7 8 8 9 9 9 9 9 8 7 7 7 7 8 9 11 12 12 11 9 9 8 8 7 7 7 7 6 6 6 6 6 6 8 9 8 8 7 7 8 8 9 9 8 8 8 9 9 9 8 8 7 6 5 6 7 7 8 8 9 8 8 7 7 8 8 8 8 8 9 9 8 7 8 9 9 9 8 7 6 6 5 2 -2 -3 0 5 8 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 nan
nan 9 9 9 10 10 8 6 6 6 6 7 7 7 7 7 6 6 6 6 7 8 9 9 10 10 9 8 7 7 7 8 9 10 12 12 11 11 10 9 9 8 7 7 7 6 6 6 5 6 7 8 9 9 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 8 7 7 8 8 9 10 10 9 9 8 5 -0 -4 -2 3 6 8 10 10 10 9 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 nan
nan 9 9 10 11 10 8 5 5 6 6 7 7 7 7 7 6 6 6 6 6 7 8 9 9 9 8 7 6 6 7 8 8 8 8 9 10 10 10 9 8 7 7 7 7 7 7 6 6 6 7 8 8 8 8 8 8 9 9 10 10 10 10 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 7 8 8 8 8 8 7 7 8 8 8 9 10 10 10 9 9 7 3 -0 -1 0 3 6 9 10 10 10 9 8 8 7 6 6 6 6 7 7 7 6 6 6 6 6 7 7 7 7 7 7 6 nan
nan 9 10 11 11 10 7 5 5 6 6 7 8 8 7 7 7 7 6 6 6 6 7 8 7 7 6 5 5 5 6 7 7 6 6 6 8 9 10 9 8 7 7 7 7 7 7 6 6 6 7 7 7 7 7 8 8 9 10 10 10 10 10 9 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 7 6 6 6 7 7 8 9 8 7 7 7 8 8 8 9 10 10 10 9 8 8 7 5 3 0 -0 2 5 8 9 9 9 8 8 7 7 6 6 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 nan
nan 9 10 11 11 8 6 5 5 6 7 7 8 8 7 7 8 8 8 8 8 7 7 7 6 6 5 5 5 5 6 6 6 6 5 5 7 8 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 7 7 7 7 8 8 9 9 10 9 8 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 7 6 6 6 6 7 8 9 9 8 7 7 8 8 8 9 9 10 10 9 8 8 9 8 6 3 1 0 1 4 6 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 10 10 9 7 6 5 6 6 7 7 8 8 8 8 8 9 9 9 9 9 8 8 7 6 6 6 6 6 6 6 6 6 5 5 6 7 7 7 8 8 8 7 6 6 5 6 6 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 7 7 8 8 9 9 9 8 8 8 8 8 7 7 6 6 6 7 8 9 9 9 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 7 5 3 1 0 2 5 6 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 9 8 7 7 6 6 6 6 7 7 8 8 9 9 10 10 10 10 10 9 8 8 8 7 7 7 6 6 7 7 6 5 6 6 7 7 6 7 7 7 7 6 6 5 5 6 6 7 8 8 9 8 8 8 7 7 7 6 7 7 7 7 8 8 8 7 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 6 4 2 1 3 5 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 6 nan
nan 8 8 8 8 8 8 7 7 6 6 6 6 7 8 10 11 11 10 10 9 9 9 8 8 8 7 7 7 6 6 7 7 7 7 8 8 8 8 7 7 7 7 7 6 6 6 6 5 5 6 7 8 8 9 9 9 8 8 6 6 6 5 4 4 6 8 8 7 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 9 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 7 5 4 4 6 8 9 8 6 5 5 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 nan
nan 8 7 7 8 9 9 8 7 7 6 6 6 6 8 10 11 11 10 9 9 9 8 7 7 7 6 6 6 5 5 6 7 8 9 10 11 10 9 9 9 8 8 7 7 7 7 7 6 6 6 6 7 7 8 9 9 8 7 6 5 5 4 3 4 6 7 8 8 8 9 9 9 9 9 9 8 7 7 7 7 7 7 8 9 9 9 8 7 7 7 8 9 9 9 9 8 8 8 9 9 9 9 8 9 9 9 8 8 7 7 7 8 8 6 3 2 5 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 6 nan
nan 8 7 6 7 8 9 8 7 7 6 6 6 6 7 8 9 9 9 9 8 8 7 6 6 6 6 6 6 5 5 5 6 7 8 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 5 6 7 7 7 6 6 5 4 4 4 4 5 7 8 8 9 9 9 9 9 9 9 9 7 7 7 7 7 8 9 10 10 9 8 6 6 6 7 8 8 7 7 8 8 8 8 8 8 8 8 9 10 9 9 8 8 8 8 7 6 3 1 3 7 9 10 9 9 9 9 8 8 8 8 8 8 7 7 7 6 nan
nan 8 7 6 7 8 9 9 8 7 6 6 6 6 6 6 6 7 8 8 7 6 6 6 6 6 5 6 6 7 6 6 5 5 7 8 8 7 7 8 9 9 8 8 8 8 8 8 9 9 9 8 6 6 6 7 6 6 6 6 6 5 5 5 5 5 6 7 9 9 10 9 9 8 9 9 9 7 6 6 7 8 10 10 10 10 9 8 7 6 6 6 6 6 6 6 7 8 7 7 7 7 8 8 9 9 9 9 8 8 9 9 7 4 1 2 7 10 11 11 10 10 9 9 9 8 8 8 8 7 7 7 6 6 nan
nan 8 7 6 6 7 9 9 9 8 7 6 6 6 6 6 6 6 7 7 6 5 5 6 6 6 6 6 7 7 7 6 5 5 5 6 6 5 5 6 8 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 7 6 7 8 9 8 6 5 5 5 6 7 9 9 9 9 8 8 8 9 8 7 6 6 7 10 11 11 10 9 8 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 9 8 7 4 2 4 9 11 11 10 10 10 9 9 9 8 8 8 7 7 7 7 6 6 nan
nan 8 7 6 5 7 8 9 9 8 7 6 6 6 7 7 7 7 7 7 6 5 5 6 7 7 7 7 7 7 7 7 6 5 5 5 5 5 4 5 7 9 9 8 7 7 7 7 7 7 8 8 9 10 11 10 8 7 7 9 11 9 7 5 5 6 6 7 8 8 7 7 7 8 8 8 7 6 6 6 8 10 11 10 9 9 7 6 6 6 5 5 6 6 7 8 8 7 7 6 7 7 7 7 8 9 9 8 8 8 8 7 5 3 2 6 9 10 9 7 8 9 9 9 8 8 8 7 7 7 7 7 6 6 nan
nan 7 7 6 7 8 9 10 9 8 7 6 6 6 7 7 7 7 7 8 7 6 6 6 7 7 7 7 7 8 7 7 6 5 5 6 6 6 6 6 6 8 8 8 8 7 7 7 7 8 8 8 8 10 11 10 9 7 7 10 11 10 8 7 6 6 7 7 7 7 6 6 7 8 8 8 7 6 6 7 8 9 9 9 9 8 7 6 6 6 6 5 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 7 5 4 4 7 9 9 7 5 5 6 7 7 7 7 7 7 7 7 7 7 6 6 nan
nan 7 6 7 8 9 10 9 9 7 6 5 5 6 7 8 8 8 8 8 8 8 7 6 7 7 7 7 8 8 8 7 6 6 6 7 8 8 7 6 6 6 7 8 9 9 8 7 8 8 9 8 7 7 8 9 8 7 7 10 11 11 10 9 8 7 7 7 7 7 6 6 7 7 7 7 6 6 6 7 7 7 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 9 9 9 9 8 8 7 6 7 8 8 8 7 5 3 3 3 4 6 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 9 10 9 9 8 7 5 4 5 6 7 8 8 8 8 8 9 9 9 8 7 7 6 6 6 7 7 6 6 7 8 9 9 8 8 6 5 5 6 8 10 10 9 9 8 9 9 8 7 7 7 8 9 8 9 11 11 11 10 8 7 6 7 7 8 8 7 7 7 7 7 7 7 6 6 6 7 7 7 8 8 7 7 7 7 8 7 7 7 7 6 6 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 8 8 9 9 9 9 8 8 7 3 0 -1 1 5 6 7 7 7 7 7 7 7 7 nan
nan 7 7 8 9 10 9 9 8 6 4 3 4 5 6 7 8 9 9 9 9 9 9 9 8 7 6 6 6 6 5 5 6 8 10 11 10 8 7 7 6 6 6 8 10 10 10 10 9 9 8 9 9 9 9 10 10 11 11 11 11 9 8 7 6 6 6 7 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 8 7 7 6 6 5 5 5 6 7 7 8 8 8 8 8 9 10 9 8 8 9 10 10 9 8 8 6 3 -1 -4 -1 5 6 7 7 7 7 7 7 7 7 nan
nan 7 7 8 9 10 10 9 9 7 4 3 3 4 6 7 8 9 9 9 9 9 9 8 8 7 6 6 6 6 6 6 7 8 10 11 10 8 7 7 7 7 7 8 9 9 9 9 9 9 10 10 10 11 12 12 12 13 13 12 10 8 8 7 7 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 5 5 6 6 7 7 8 8 8 8 8 9 10 10 8 8 8 8 8 5 3 3 3 2 -2 -4 1 5 7 8 8 8 8 8 8 8 7 nan
nan 8 7 8 9 9 10 10 9 8 5 4 3 4 6 7 9 9 10 10 9 9 8 8 7 6 6 6 6 7 7 8 8 8 9 9 8 7 7 6 7 7 8 8 8 8 7 7 8 9 10 10 11 12 13 13 14 14 14 12 10 8 8 9 9 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 8 7 8 8 9 8 8 7 7 7 8 8 8 8 7 6 6 6 6 7 8 8 8 8 8 8 9 10 9 8 8 7 6 3 -0 -2 -1 1 2 1 2 5 8 8 9 9 8 8 8 8 8 8 nan
nan 8 8 8 9 9 9 9 10 9 7 5 4 5 5 7 9 10 10 10 9 8 8 8 7 7 7 7 8 8 9 9 9 9 8 7 7 7 7 7 7 7 8 8 7 7 6 6 6 8 8 9 9 10 11 12 13 14 14 14 12 11 11 11 10 10 9 9 8 8 8 8 9 9 10 10 10 9 9 9 9 9 8 8 9 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 9 9 9 8 8 7 7 5 1 -2 -3 -2 1 4 5 7 9 9 9 9 9 9 8 8 8 8 8 nan
nan 8 7 8 8 8 9 9 9 9 8 6 5 5 5 7 8 9 10 9 9 8 9 8 8 7 7 8 9 10 10 10 10 9 7 6 6 7 8 8 8 7 7 7 7 7 6 6 6 6 7 7 7 7 8 9 11 12 13 13 13 12 12 12 12 12 11 10 9 8 7 8 9 9 9 9 10 10 10 10 9 8 8 8 9 10 10 10 9 8 8 8 7 6 6 7 8 8 8 8 8 9 9 9 8 8 9 9 8 8 7 7 7 7 6 3 2 1 2 2 3 5 8 9 10 9 9 9 8 8 8 8 8 8 nan
nan 8 7 7 7 8 8 9 9 8 7 6 5 5 6 7 9 10 9 9 9 9 9 9 8 7 7 7 8 8 8 9 9 9 7 5 6 7 9 10 9 8 7 7 7 8 8 7 7 7 7 6 6 7 7 7 8 9 9 10 10 10 10 11 12 12 12 11 10 8 8 8 8 9 9 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 10 10 8 7 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 7 7 7 6 6 4 2 -0 1 5 8 9 9 8 8 8 8 8 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
74 68 64 74 115 143 158 165 179 190 180 164 142 112 87 76 70 76 46 32 13 14 29 57 109 242 460 596 534 345 202 179 178 147 81 40 31 27 20 11 5 2 0 0 0 2 13 40 62 59 42 29 21 10 5 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 50 153 337 484 501 472 476 507 537 566 579 534 513 595 721 809 775 668 588 534 450 480 502 482 487 504 487 494 549 601 569 457 445 453 452 507 608 606 554 548 584 631 690 681 537 365 221 113 43 15 9 6 3 5 4
64 57 53 65 105 109 111 124 145 160 158 137 103 75 68 78 51 50 18 14 15 28 50 105 257 519 743 743 619 391 207 113 75 54 36 25 22 18 9 2 1 0 0 0 1 5 17 41 60 55 35 23 14 5 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 1 15 69 209 351 395 389 389 409 447 482 512 446 405 416 422 369 299 290 306 304 307 368 391 342 305 289 254 225 225 257 267 249 243 255 268 279 303 315 312 337 385 430 514 654 711 604 408 229 126 79 55 41 32 38 30
50 43 47 53 62 61 64 75 86 89 79 63 55 58 57 53 22 21 18 25 39 66 106 188 331 472 469 354 292 160 85 50 35 26 18 13 10 7 2 0 0 0 1 1 2 6 17 38 54 45 24 16 7 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 3 30 99 180 243 313 351 357 379 401 406 376 333 294 276 276 256 234 242 243 257 271 269 266 262 233 200 180 156 150 160 170 179 186 199 209 214 220 223 247 251 333 465 645 870 931 767 528 365 260 196 165 144 131 121
42 34 37 38 31 23 19 27 34 27 19 34 69 91 70 44 35 46 55 66 80 97 127 179 224 208 140 83 70 47 31 23 18 12 7 5 3 1 0 0 0 0 1 2 4 7 14 30 47 27 16 9 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 1 10 34 63 84 118 188 213 225 232 230 224 208 180 154 152 146 147 138 127 123 114 107 96 82 90 100 86 81 78 76 73 81 102 119 132 150 168 176 200 197 221 308 440 633 784 835 871 795 660 504 446 421 399 368
40 32 26 26 27 40 47 93 142 141 132 167 187 150 99 85 95 106 113 112 95 85 103 128 124 88 56 36 24 17 12 9 6 3 2 0 0 0 0 0 0 1 2 3 4 7 13 21 25 13 7 4 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 1 6 19 26 32 42 62 79 88 84 80 80 66 42 39 36 26 22 28 32 30 27 28 27 27 33 38 36 39 36 37 39 41 48 55 62 79 90 96 98 99 106 125 170 252 353 448 584 742 800 728 696 725 808 834
28 25 43 110 168 290 378 460 525 530 500 484 377 214 164 175 187 178 160 137 105 82 82 85 65 42 25 15 9 5 3 2 1 0 0 0 0 0 0 0 0 1 3 4 5 8 12 16 14 6 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 1 8 17 19 24 26 28 31 31 26 23 21 14 6 5 4 6 5 3 5 7 9 10 13 15 18 19 20 21 24 27 30 33 38 37 38 38 43 45 38 33 43 59 80 103 127 150 156 227 341 447 508 576 681 791
40 75 186 450 538 668 772 807 830 837 774 660 462 282 273 267 258 216 165 119 79 57 57 48 29 11 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 9 12 12 6 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 3 11 15 18 22 24 22 21 20 18 15 11 8 4 2 0 1 1 2 3 3 2 3 5 7 11 15 16 19 22 23 23 26 29 29 30 30 30 30 29 28 28 33 44 54 64 74 93 107 123 137 167 220 270 289
70 146 381 771 756 660 635 667 720 750 702 594 435 337 327 287 253 199 139 91 59 39 29 18 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 8 12 12 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 1 6 11 12 13 14 15 15 14 12 10 9 8 8 7 6 5 5 5 5 5 5 4 3 4 7 9 11 12 13 14 15 15 18 19 19 20 20 21 21 20 18 18 20 25 33 39 47 63 77 83 82 81 85 100 104
88 175 435 654 586 460 410 424 461 488 481 448 379 314 280 233 181 131 93 64 41 26 14 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 12 24 12 6 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 1 4 8 11 10 11 12 11 10 8 6 5 3 5 7 9 10 9 8 8 8 8 8 9 9 9 9 9 10 10 9 8 7 7 10 10 12 14 15 16 16 15 15 16 16 18 22 25 32 40 47 54 57 58 60 64 65
109 187 384 449 380 305 273 270 275 283 287 281 252 219 187 148 109 77 53 32 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 19 24 10 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 1 6 8 10 11 12 12 11 9 6 3 2 0 1 3 3 2 4 5 5 5 5 5 5 7 9 9 7 7 7 7 8 5 2 2 6 8 9 12 15 15 13 15 17 17 16 15 17 22 27 29 34 35 37 41 43 44
149 233 319 334 288 234 205 192 176 167 162 153 136 122 103 80 57 36 21 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 18 31 20 9 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 1 5 7 9 11 12 13 13 12 8 3 1 1 0 0 0 0 0 0 1 0 1 1 1 1 2 3 1 1 3 4 5 3 2 2 2 3 5 8 13 14 13 15 16 18 18 15 13 14 18 23 25 23 26 29 31 31
198 244 270 263 225 183 154 133 115 102 92 80 70 63 52 38 21 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 20 35 36 21 8 2 1 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 3 6 8 10 12 14 14 13 9 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 3 3 3 7 8 10 13 15 16 15 13 11 10 10 14 17 15 16 18 20 21
221 212 211 195 166 137 112 91 74 63 53 43 36 29 21 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 20 37 44 35 16 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 1 3 6 8 10 12 15 15 12 8 5 3 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 2 3 3 2 2 2 3 2 3 3 4 7 10 10 9 8 7 5 6 5 7 8 8 10 12 12
188 167 149 132 116 99 81 64 51 41 31 19 12 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 25 48 53 48 29 12 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 1 2 4 6 10 12 14 15 13 10 7 5 3 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 3 3 2 3 2 2 2 2 2 2 3 5 6 5 5 5 4 4 5 5 5 5 7 8 6
140 123 108 96 84 71 58 45 37 28 19 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 3 16 46 69 57 42 21 7 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 1 2 3 5 10 13 16 15 12 9 7 5 3 2 2 2 1 1 1 1 1 1 2 2 2 3 2 2 2 2 2 2 2 2 2 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 4
107 100 88 75 62 48 39 30 25 19 12 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 4 19 45 58 46 28 12 3 0 0 0 0 0 0 0 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 3 4 8 11 12 11 9 7 5 3 2 1 1 1 1 1 1 2 2 2 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 4 4 5 3 3 3 3
94 81 61 44 36 31 25 20 17 13 9 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 1 13 30 35 28 15 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 1 2 2 3 5 6 9 10 8 7 6 4 2 1 0 0 0 0 1 1 2 2 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 3 3 3 3 4 5 5 3 3 3 3 3 3 3 3 4 3 2 2 2 2
61 37 17 9 14 19 18 15 11 8 5 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 5 13 15 10 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 2 3 4 4 5 6 7 6 5 4 4 3 2 1 0 0 0 0 0 0 1 2 3 3 3 3 3 3 3 3 3 3 3 2 1 2 3 3 3 3 2 2 3 3 4 3 3 3 2 3 3 3 3 3 2 1 1 2 3
18 7 7 14 19 16 12 11 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 1 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 3 4 4 5 5 5 5 4 3 2 3 2 1 0 0 0 0 0 0 0 1 2 2 2 3 3 4 4 4 3 3 3 2 2 2 3 2 2 2 2 3 3 2 2 3 3 4 3 2 2 2 3 3 3 3 2 2 2 3
1 6 21 32 23 20 6 7 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 2 3 3 4 4 4 4 4 3 2 1 2 1 1 0 0 0 0 0 0 0 1 2 2 2 3 3 3 4 4 4 4 3 2 1 1 2 2 2 2 3 4 4 4 5 6 6 6 5 4 3 4 5 5 5 5 5 4 3 3
2 13 26 27 13 19 3 5 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 1 2 3 3 3 3 3 3 3 3 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 2 3 3 3 3 3 3 3 2 1 1 3 4 5 4 5 5 6 6 7 7 8 7 6 6 5 6 7 7 8 8 7 6 4 3
2 4 4 3 12 13 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 0 0 0 0 0 0 0 0 0 0 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 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 3 3 3 3 2 1 1 2 4 5 5 6 6 7 7 8 8 8 7 7 7 7 8 9 10 10 10 9 8 6 6
1 1 3 10 16 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 3 2 2 1 1 3 5 6 6 6 7 7 7 8 8 8 7 7 8 9 11 12 13 12 11 11 9 9 8
0 0 5 20 17 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 1 1 1 3 5 6 6 7 8 8 8 8 8 8 8 9 10 11 13 13 13 13 12 11 11 10 9
0 0 2 12 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 3 5 6 7 7 8 8 8 8 8 8 8 9 10 12 13 12 12 12 12 12 11 11 10
0 0 1 7 15 5 1 0 0 1 4 10 13 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 3 5 7 7 7 8 8 9 8 7 7 8 9 10 10 11 11 12 12 12 12 12 11 10
0 0 1 6 10 5 2 2 5 6 7 11 11 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 0 0 1 1 1 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 3 6 7 7 7 8 9 9 8 7 7 7 8 9 9 10 11 11 12 12 12 12 11 10
0 0 0 0 0 1 1 1 2 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 0 0 0 0 0 0 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 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 4 5 5 5 6 7 6 6 7 8 9 8 7 7 7 7 8 8 8 10 11 11 11 12 12 12 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 1 1 0 0 0 0 0 0 0 1 1 1 2 2 3 3 3 4 6 6 6 6 7 7 7 7 7 8 8 8 8 7 6 7 7 7 8 9 10 10 11 11 11 11 10 9
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 3 4 4 4 5 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 5 5 5 7 9 10 10 11 11 11 11 10 9
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