Vorticity
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nan 8 8 9 9 10 10 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 5 4 4 4 5 6 7 7 6 5 5 5 5 6 6 5 5 5 6 7 7 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 6 6 7 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 9 12 16 17 17 16 14 13 12 12 12 13 14 15 16 15 14 13 11 10 9 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 7 8 10 10 10 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 6 5 5 5 5 6 7 7 6 5 4 4 5 6 6 6 6 6 7 7 8 7 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 8 8 8 8 8 7 7 7 9 12 15 16 16 16 14 14 13 13 13 14 14 15 16 16 15 13 11 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 nan
nan 6 6 8 10 11 11 10 9 8 8 9 9 9 8 8 9 9 9 9 9 9 9 9 9 8 7 6 6 6 7 7 7 7 6 5 5 6 7 7 6 6 7 7 8 8 7 6 6 6 6 7 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 10 12 13 15 16 15 16 16 16 15 14 14 15 16 16 16 14 12 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 nan
nan 6 7 8 9 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 9 9 9 7 7 8 8 8 7 8 8 8 8 8 7 7 6 7 7 8 8 8 8 8 7 7 8 7 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 8 8 9 10 11 12 13 14 14 15 16 16 16 15 14 15 16 16 16 14 12 10 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 6 6 nan
nan 7 7 7 8 9 9 8 7 7 7 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 9 8 8 7 7 7 8 9 10 11 10 9 8 8 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 10 10 9 9 9 9 10 9 9 9 9 8 8 8 8 9 8 8 8 9 9 9 9 10 11 12 12 13 14 16 17 17 16 15 15 16 16 16 14 12 10 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 6 nan
nan 7 7 8 8 9 9 7 6 6 6 7 7 8 8 8 8 8 8 8 9 10 10 10 9 9 9 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 7 8 8 9 9 9 9 9 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 10 9 9 9 10 10 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 11 12 14 17 18 18 17 16 15 16 16 16 14 12 10 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 6 nan
nan 8 8 9 10 10 9 8 8 7 7 7 8 8 8 8 8 9 9 9 10 10 10 10 9 9 8 8 8 7 7 7 7 6 6 7 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 7 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 10 9 9 9 9 9 10 13 15 18 19 19 18 17 16 16 16 16 14 12 10 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 6 nan
nan 8 9 10 10 10 9 9 9 9 9 10 10 10 10 9 9 10 10 11 12 12 11 10 9 8 8 8 8 8 8 8 7 6 5 5 7 7 8 9 9 10 10 8 7 6 6 5 5 6 7 7 8 8 9 10 11 11 10 10 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 10 10 10 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 10 9 9 8 9 11 13 15 18 20 21 20 18 17 17 17 16 14 12 10 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 6 6 nan
nan 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 9 8 8 9 9 9 8 8 7 6 5 6 7 8 8 9 10 10 8 7 6 5 5 5 5 6 7 7 8 8 9 11 11 11 10 10 9 8 7 7 7 8 9 9 10 10 11 11 11 10 10 11 11 11 11 10 10 11 11 11 10 11 11 11 11 11 11 11 12 12 12 11 10 9 9 9 9 9 11 12 15 18 21 22 21 20 19 19 19 18 16 13 11 9 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 nan
nan 8 9 8 8 8 9 9 9 9 9 10 11 11 11 11 11 12 12 11 11 10 11 11 10 10 9 9 9 9 9 9 9 7 6 6 6 7 8 8 8 9 8 8 7 7 6 6 6 7 7 7 7 6 6 7 9 10 11 11 10 9 8 7 7 7 8 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 12 12 11 10 9 9 9 9 10 10 10 11 14 17 20 22 22 22 23 24 24 23 20 16 13 11 10 9 8 8 8 8 8 8 8 8 8 7 7 7 nan
nan 9 9 9 9 9 10 10 9 8 8 8 8 9 9 9 9 9 9 8 8 9 9 10 10 10 9 9 8 8 8 9 9 8 8 7 7 8 8 9 9 8 7 7 7 7 7 7 8 8 9 8 7 5 4 5 6 8 9 10 10 10 9 8 8 8 9 10 10 10 10 11 10 11 11 10 10 9 9 10 10 10 10 9 9 9 9 9 8 9 9 10 10 11 11 11 11 10 10 11 11 11 10 10 10 10 11 13 16 19 22 24 24 26 28 28 27 23 19 15 13 11 10 9 8 8 8 8 7 8 8 8 8 8 nan
nan 10 10 10 10 10 11 10 10 9 7 7 7 7 7 7 7 7 6 6 6 7 8 9 9 9 9 8 7 7 7 8 8 9 9 9 9 8 9 9 10 9 7 6 6 6 7 8 9 10 10 9 8 7 7 7 6 6 7 8 10 10 10 9 9 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 10 10 10 9 8 8 8 9 10 10 11 11 11 10 11 11 11 11 10 10 10 11 11 11 13 15 18 20 20 21 22 24 26 26 24 21 17 15 13 11 10 9 8 8 7 7 7 8 8 8 nan
nan 10 9 9 9 10 10 10 10 9 8 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 7 7 7 7 8 9 10 10 10 9 9 10 10 10 8 6 5 5 6 8 9 10 10 9 8 9 9 8 6 5 5 6 9 10 10 10 10 11 11 12 11 11 10 9 9 9 9 9 9 8 8 9 10 10 9 8 9 10 10 9 9 9 8 9 9 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 13 14 14 14 13 15 19 23 24 23 21 19 17 15 13 12 10 9 8 8 7 7 7 7 nan
nan 10 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 8 7 7 6 6 7 7 7 7 7 7 7 7 8 9 10 10 10 10 10 10 11 11 9 7 6 6 6 7 7 8 8 8 8 8 9 8 7 6 5 6 8 9 10 11 11 11 11 11 11 11 10 9 8 8 8 8 8 7 7 7 8 8 8 8 9 10 10 9 9 9 8 9 9 9 10 10 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 10 14 18 21 22 22 21 20 19 17 16 14 12 11 9 8 7 7 7 nan
nan 9 8 8 7 7 7 8 9 9 9 8 8 8 8 9 9 9 9 9 8 7 7 6 6 7 7 8 8 8 7 7 7 7 8 8 9 9 9 9 11 11 11 9 8 7 7 5 4 4 6 8 8 9 9 9 9 8 8 8 7 8 8 9 10 10 10 10 10 10 10 9 8 8 8 7 7 6 5 5 6 7 7 8 9 10 10 9 8 8 8 8 9 9 10 10 9 9 9 10 11 10 10 10 11 11 11 10 9 8 8 8 8 8 9 11 14 17 19 21 21 21 21 21 21 20 19 17 15 13 11 9 8 7 nan
nan 9 8 7 6 6 7 8 8 9 9 8 8 8 8 8 8 8 9 9 9 9 8 7 7 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 10 11 12 12 11 10 9 7 5 4 5 8 9 10 10 10 10 10 9 8 8 7 7 7 8 8 7 7 7 8 8 9 8 8 7 7 7 7 6 6 6 6 7 7 8 8 9 8 7 7 7 8 8 9 10 10 10 9 9 10 10 11 11 11 11 11 11 11 10 9 8 7 7 8 10 13 14 16 17 19 19 19 19 21 22 22 21 20 19 17 15 13 11 9 nan
nan 9 8 7 7 7 7 8 8 8 8 7 7 7 7 6 6 7 8 8 9 9 9 9 8 9 9 8 8 7 7 6 5 5 4 5 5 6 7 8 9 11 13 14 14 13 13 12 10 9 9 8 9 9 9 10 10 10 10 9 8 7 7 7 7 7 6 5 5 6 7 8 8 8 8 8 8 9 8 7 6 6 6 7 7 8 8 7 6 6 6 7 7 8 9 10 10 10 9 9 9 10 10 10 10 10 11 11 11 11 10 8 8 9 10 12 12 13 15 16 17 17 17 19 20 21 22 22 22 20 19 17 15 13 nan
nan 9 9 8 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 9 9 9 9 9 9 9 9 9 8 8 8 7 6 4 4 4 5 6 7 8 9 11 13 15 15 15 16 17 18 17 15 12 10 8 8 8 8 9 10 9 8 7 7 7 7 7 5 4 5 6 6 7 7 7 8 8 9 9 8 7 6 6 6 7 8 8 8 7 7 6 6 6 6 7 8 9 9 9 9 9 8 9 9 10 10 10 10 10 11 12 11 9 8 9 10 10 9 10 11 13 14 15 16 18 18 19 21 22 22 22 22 21 19 17 nan
nan 9 9 9 9 8 8 7 6 6 5 5 5 5 6 6 7 7 8 9 10 9 9 9 9 9 9 9 8 8 9 9 7 5 4 5 6 7 8 8 8 9 11 13 13 14 16 19 21 23 21 17 13 10 8 7 7 8 8 8 6 6 7 7 8 8 5 4 4 5 6 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 6 6 6 6 6 7 8 8 8 8 8 8 8 8 9 10 10 9 9 10 11 11 10 9 9 9 9 9 9 9 10 11 13 16 18 18 18 19 20 21 22 22 22 21 20 nan
nan 9 9 9 9 8 7 7 7 6 6 5 5 6 6 7 7 8 9 9 9 9 9 8 9 9 9 8 8 8 9 10 10 9 7 7 9 10 10 9 8 8 8 9 10 12 13 15 18 20 20 17 14 11 9 8 8 8 7 6 6 6 6 7 8 7 5 4 4 5 6 7 8 8 8 8 8 8 7 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 8 8 8 8 8 9 10 10 10 9 8 9 9 10 10 10 11 12 13 16 17 16 16 16 17 18 19 20 21 21 20 nan
nan 10 10 10 10 9 9 9 8 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 12 13 14 13 13 13 13 12 11 9 7 7 7 8 9 10 11 12 12 13 13 12 12 11 11 10 10 9 7 6 6 6 7 7 6 4 4 5 5 5 7 8 9 9 9 8 8 8 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 8 8 7 7 7 8 7 7 7 7 8 8 9 9 8 8 10 13 13 13 13 13 14 15 16 15 14 14 14 15 16 17 18 18 19 nan
nan 13 13 12 12 12 11 11 11 10 10 9 9 10 10 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 11 13 15 17 18 18 16 15 13 12 10 9 7 7 7 8 8 9 9 8 9 10 11 12 12 12 11 11 10 9 7 6 6 6 6 5 4 4 5 4 5 7 9 10 10 10 9 8 8 9 10 10 9 8 8 7 7 7 7 7 6 7 7 7 6 6 7 7 8 8 8 8 7 8 7 7 6 6 5 5 6 8 9 9 10 12 14 15 15 15 13 13 13 13 13 12 12 12 13 14 15 15 16 16 nan
nan 17 16 15 15 15 15 15 15 14 14 13 13 13 13 13 13 13 12 12 11 12 13 13 13 12 12 12 12 12 13 14 15 16 18 19 17 15 14 12 11 9 8 7 7 8 8 9 9 9 9 9 10 11 11 11 11 11 10 8 5 4 5 5 6 6 6 6 6 5 6 9 10 10 10 10 9 8 8 8 9 9 8 8 7 7 7 7 7 6 6 6 7 7 6 7 8 8 8 8 8 7 7 8 8 7 7 6 5 5 7 9 10 10 11 12 13 14 14 13 11 10 10 10 10 11 11 11 12 13 13 13 14 14 nan
nan 19 18 17 17 17 17 17 18 18 18 17 16 14 14 13 14 14 14 13 13 14 15 15 14 13 12 12 12 13 13 14 14 14 16 16 15 13 12 11 10 9 8 7 8 8 8 9 8 8 8 8 9 9 9 9 9 9 9 7 6 5 5 7 8 8 9 9 8 7 7 8 9 9 9 9 9 9 8 8 9 9 8 8 8 8 8 8 7 6 6 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 7 7 7 8 8 8 8 9 10 11 12 12 11 10 10 9 9 9 10 10 11 12 12 13 13 13 13 nan
nan 18 18 16 16 16 17 17 18 18 18 18 17 15 13 12 12 13 14 14 14 14 15 14 13 12 11 11 11 12 12 12 12 12 12 12 12 11 10 10 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 8 9 9 8 9 9 10 10 10 10 9 8 7 6 5 5 6 8 8 8 7 7 8 8 8 9 8 9 9 8 7 7 7 8 8 7 6 6 7 7 7 8 8 8 8 8 9 8 8 8 8 8 8 7 7 6 7 8 9 10 11 12 12 12 10 9 9 10 10 11 12 12 12 12 11 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
285 226 196 160 106 78 64 61 63 81 102 114 127 126 82 43 37 41 45 37 36 29 29 48 74 87 88 88 85 76 45 12 7 29 34 28 26 26 27 15 3 0 0 0 0 0 0 0 1 6 18 31 40 46 40 15 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 2 13 23 29 41 52 59 77 149 224 332 419 478 543 626 682 701 766 802 754 651 549 473 416 405 421 436 484 517 522 610 659 688 690 677 673 684 704 710 713 726 665 656 645 629 654 730 702 605 589 716 973 1246
252 189 169 152 107 88 71 64 62 71 91 126 170 171 98 63 47 54 89 59 37 19 17 36 62 81 89 90 79 82 52 19 14 31 39 36 33 27 22 17 11 1 0 0 0 0 0 0 1 5 15 29 34 40 38 20 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 1 2 6 10 16 24 31 30 36 71 153 278 356 364 382 450 532 560 616 697 753 720 652 575 470 411 413 386 379 342 317 333 401 438 476 508 525 543 561 578 688 666 641 634 609 544 483 418 327 268 318 462 771 1002
235 194 180 154 115 97 84 76 66 61 72 117 194 218 97 67 46 82 125 91 42 14 13 32 55 69 94 88 71 79 60 30 23 33 39 44 47 37 39 29 17 5 1 0 0 0 0 0 0 4 15 21 30 34 33 20 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 1 3 4 5 7 10 14 12 22 51 115 186 226 236 233 251 341 377 401 503 617 707 694 605 540 488 442 372 303 225 177 164 205 234 250 275 304 310 291 299 362 372 396 407 370 307 245 167 117 121 179 281 514 650
373 367 300 225 188 185 179 148 109 78 75 127 219 265 158 107 73 114 131 94 51 21 17 39 61 67 89 65 63 70 58 37 36 33 18 20 41 38 47 40 24 9 2 0 0 0 0 0 0 1 7 15 19 26 29 24 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 1 2 4 5 9 10 10 10 16 36 72 110 129 137 147 158 208 238 282 372 450 530 585 562 523 464 424 363 271 201 152 127 119 112 106 111 136 139 120 118 126 124 144 155 138 114 90 69 60 79 107 151 246 331
509 482 421 345 320 335 359 278 187 130 104 152 250 291 203 143 103 81 80 83 52 18 22 51 81 65 50 50 72 94 95 70 57 42 17 29 44 41 37 34 21 7 1 0 0 0 0 0 0 0 1 3 5 16 23 22 12 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 3 4 5 8 10 10 10 13 22 44 77 98 106 103 112 126 157 206 265 327 410 483 502 460 363 347 308 247 183 126 91 72 58 57 48 56 60 62 62 48 39 39 43 42 38 34 42 45 52 60 73 101 141
591 542 467 390 371 376 400 320 225 175 168 235 332 339 245 175 117 75 68 81 65 32 33 59 91 84 68 71 107 138 136 99 66 47 27 26 27 26 28 16 3 0 0 0 0 0 0 0 0 0 0 0 1 9 18 18 8 3 2 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 6 8 9 10 11 14 26 41 39 45 58 75 80 98 126 167 224 279 323 384 433 317 278 249 211 159 104 69 59 41 37 30 29 28 26 23 21 18 18 19 19 18 17 26 29 30 30 33 43 58
584 472 354 325 331 315 276 237 209 219 285 380 477 440 311 206 134 100 95 79 47 31 43 75 96 100 99 112 154 183 170 132 94 62 39 31 22 18 19 6 0 0 0 0 0 0 0 0 0 0 0 0 1 0 5 9 8 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 7 9 9 10 11 13 17 25 27 28 30 38 43 49 62 87 111 110 120 200 270 256 223 192 167 135 92 65 55 41 34 29 25 20 16 14 13 13 11 10 12 11 11 13 15 16 15 17 20 27
625 513 386 324 294 252 214 203 235 320 429 485 549 448 315 209 148 117 96 68 41 37 57 79 89 102 116 141 177 201 190 156 122 84 48 39 29 30 25 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 24 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 6 8 9 10 11 12 14 19 25 26 29 33 36 35 38 43 48 36 38 74 118 151 153 133 110 86 61 47 43 35 30 28 23 16 10 5 6 6 4 6 7 6 6 8 11 13 13 13 13 15
679 618 479 388 327 283 275 305 364 449 515 516 498 375 274 189 133 108 95 83 79 83 75 72 83 100 118 141 171 196 205 191 152 107 56 20 12 26 23 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 20 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 7 9 10 11 11 11 15 21 25 30 34 38 40 38 33 30 24 26 32 43 64 80 75 59 48 39 33 31 29 26 22 15 10 6 4 2 2 3 4 5 5 8 10 10 11 11 12 12 12
668 634 557 486 445 419 425 454 485 520 512 495 428 319 242 197 170 143 124 118 111 112 75 67 83 100 116 133 153 176 196 197 164 110 46 19 13 17 25 29 19 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 2 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 4 5 6 7 9 10 11 11 13 19 27 32 35 37 40 38 33 29 25 23 21 19 23 33 37 32 29 27 24 25 24 21 17 11 6 2 3 2 3 3 3 5 7 8 10 10 11 10 10 10 9
589 577 547 515 502 486 478 481 480 471 438 410 348 276 225 189 157 151 171 168 141 131 104 89 94 105 116 120 129 155 185 198 181 141 82 40 22 27 39 39 28 16 3 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 3 4 5 5 5 7 8 9 9 10 13 20 28 32 33 33 31 29 26 22 19 16 16 20 25 24 18 14 17 17 16 17 16 13 10 7 2 2 2 2 3 4 6 8 10 10 12 12 11 10 11 12
463 447 441 436 437 429 406 385 371 349 318 284 247 228 208 243 258 237 229 198 165 142 119 104 99 107 115 110 113 147 200 240 246 206 126 62 45 59 63 43 31 31 8 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 4 5 5 6 6 6 6 6 7 8 10 15 24 26 25 24 24 22 19 15 11 9 13 19 16 10 10 11 9 7 6 8 9 8 5 2 3 3 2 3 4 6 8 9 10 11 12 12 14 18 22
348 331 326 330 340 345 338 318 294 266 236 219 207 204 181 204 226 208 201 180 158 135 103 87 78 85 87 77 79 107 150 215 268 232 160 80 41 62 73 45 32 24 10 1 0 0 0 0 0 0 0 0 0 0 0 2 1 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 3 4 5 5 5 5 5 5 4 5 6 8 10 14 16 17 17 18 18 17 14 11 9 6 5 8 7 5 6 8 8 6 2 2 6 5 4 4 4 4 4 5 5 6 7 8 10 11 12 13 16 21 31
256 241 230 242 272 306 330 327 303 270 241 221 217 198 163 146 142 134 133 132 130 114 81 65 53 51 49 42 43 54 68 99 141 154 144 93 50 45 46 35 32 26 13 2 0 0 0 0 0 0 0 0 0 0 3 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 5 5 5 4 4 4 4 4 6 8 11 12 11 13 11 11 12 13 11 9 7 6 5 4 3 2 4 8 13 10 5 4 5 4 4 5 5 5 6 6 7 6 7 8 10 11 11 12 14 16 22
202 208 210 215 235 264 284 305 307 288 241 196 169 152 137 120 106 100 96 97 98 83 69 56 43 40 42 38 32 35 39 48 79 79 73 57 40 27 16 16 25 25 18 6 1 0 0 0 0 0 0 0 0 0 7 10 5 1 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 4 5 4 3 3 3 3 4 5 7 8 7 8 9 8 8 10 12 10 8 8 7 6 5 4 2 2 6 7 6 4 4 4 5 6 6 6 5 5 6 7 7 8 9 10 11 11 11 12 12 14
157 170 179 186 201 216 210 223 227 218 192 169 154 144 136 125 109 102 99 96 92 78 65 52 40 33 33 31 30 32 35 36 40 39 41 44 40 29 22 22 28 26 23 12 3 0 0 0 0 0 0 0 0 1 5 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 1 2 2 3 3 4 3 3 2 2 2 3 6 6 6 6 7 7 8 9 11 11 10 10 8 7 7 6 5 4 3 3 3 4 5 5 5 6 6 5 5 5 5 6 6 7 8 8 9 10 10 10 10 9 8
94 97 106 119 138 161 158 157 144 140 146 148 147 136 126 127 124 125 109 98 92 78 63 51 39 29 27 25 26 26 31 31 31 32 33 35 35 32 32 34 36 35 29 17 7 2 0 0 0 0 0 0 0 4 7 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 1 2 2 2 2 3 3 2 2 2 3 4 5 6 6 7 8 8 8 8 9 9 11 10 9 8 8 7 7 6 6 6 6 6 6 7 6 6 6 6 4 5 6 5 6 7 8 9 8 10 11 11 10 8 8
44 37 40 52 74 101 115 111 98 95 106 109 106 96 89 94 96 102 103 94 85 75 61 47 35 28 25 21 19 22 24 24 23 22 22 28 36 32 31 37 43 42 32 17 7 2 0 0 0 0 0 0 2 6 7 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 2 2 3 3 3 3 2 2 2 3 4 5 6 7 7 8 7 7 6 7 7 8 9 9 9 8 8 8 8 7 7 8 7 7 7 6 6 6 7 6 5 5 5 6 7 9 9 10 12 13 12 13 12 12
13 8 10 22 44 70 86 79 76 77 78 78 76 73 69 69 72 76 80 79 71 64 54 40 30 28 24 19 18 20 21 20 18 19 27 42 48 32 24 35 47 43 31 15 3 0 0 0 0 0 0 1 3 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 1 2 3 3 3 2 2 2 3 3 4 5 5 6 7 7 7 7 7 7 6 6 7 8 8 8 8 7 7 7 6 7 7 7 7 7 7 6 6 6 6 6 6 7 7 8 11 12 12 13 14 16 16 17
2 2 2 7 23 52 76 73 72 74 68 61 58 57 58 59 60 65 66 61 57 53 46 37 32 27 23 20 20 22 21 20 21 31 46 46 35 21 22 49 62 49 30 14 3 0 0 0 0 0 0 0 2 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 1 1 1 3 4 3 3 2 2 2 2 3 4 5 6 7 6 7 8 7 7 6 5 5 6 7 9 9 8 8 7 6 6 6 7 8 9 8 7 6 6 6 6 7 7 8 10 10 12 14 16 17 17 19 20
1 1 2 3 10 27 47 51 58 67 62 53 50 53 53 53 53 58 55 54 52 49 46 42 34 26 22 21 20 20 21 23 41 66 63 42 34 24 27 62 69 52 32 17 8 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 2 0 0 0 0 0 1 1 2 4 3 3 2 2 2 2 3 4 4 5 6 6 7 8 7 7 7 6 5 6 8 10 10 10 9 7 6 6 7 8 8 8 9 9 9 7 6 7 8 9 10 11 11 13 16 18 19 19 21 22
1 2 2 2 4 7 14 28 45 56 56 52 52 58 56 54 52 53 52 51 48 46 44 42 36 25 21 21 20 20 30 48 57 47 37 26 28 24 29 42 47 43 36 27 13 8 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 0 0 0 0 0 1 1 1 3 3 3 2 2 2 2 2 2 3 4 5 7 7 7 7 6 6 6 4 7 9 9 10 10 8 7 7 8 8 9 9 9 9 9 10 10 9 8 9 10 11 12 13 16 19 21 23 23 25 26
1 2 2 3 3 3 4 17 34 44 52 58 58 60 56 55 52 50 49 47 46 44 43 42 39 29 27 26 25 28 51 81 84 55 46 24 26 27 25 21 19 25 31 25 10 10 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 1 1 2 3 4 3 2 2 2 2 2 2 2 3 4 6 7 7 6 6 7 7 5 7 9 9 9 8 6 6 8 9 10 10 10 9 9 9 10 11 11 10 10 10 12 15 18 20 22 25 27 29 31 30
1 1 2 3 4 5 5 11 28 40 54 67 60 60 58 55 52 49 48 47 45 41 40 45 46 39 38 34 27 32 68 100 71 49 26 21 21 19 14 9 7 9 14 14 5 5 2 1 2 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 1 1 2 4 4 3 2 1 1 2 2 2 2 3 4 5 6 6 6 7 8 7 6 6 7 8 9 10 10 11 11 10 11 11 11 10 9 9 9 11 11 11 12 13 15 18 20 22 24 28 29 31 32 31
1 2 2 3 4 4 4 6 22 38 59 79 71 65 65 58 55 51 49 44 40 38 41 49 46 42 38 32 31 34 61 95 54 28 18 13 9 6 3 2 2 2 2 7 3 1 0 1 4 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 1 2 3 4 3 2 1 1 1 1 2 2 3 3 3 4 5 6 7 7 6 6 7 8 9 11 13 15 16 15 15 15 14 13 13 12 11 10 10 11 12 14 16 18 19 18 20 22 25 27 26 27 29
1 1 3 4 4 4 4 9 23 40 59 78 72 65 67 60 53 55 50 40 35 34 35 38 37 39 41 38 32 38 62 69 38 18 13 8 4 2 1 1 1 0 0 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 1 1 2 4 4 4 2 1 1 0 1 2 2 2 2 2 3 5 6 7 6 6 7 7 9 10 12 15 18 19 19 17 16 15 15 15 15 14 13 13 13 13 14 16 17 18 16 16 17 20 21 20 18 19
1 2 4 4 4 4 4 12 25 39 53 63 61 51 51 61 56 54 54 49 41 36 36 37 35 40 45 49 55 64 67 54 31 18 12 5 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 1 2 3 4 4 3 1 1 0 1 1 2 2 2 2 3 5 5 6 5 6 7 7 8 10 11 13 15 16 17 15 14 13 14 16 16 17 16 16 16 16 15 15 15 14 13 13 14 16 16 16 15 16
1 2 4 4 4 4 5 11 22 37 50 56 49 41 39 48 49 48 50 50 44 40 40 35 37 41 41 53 72 71 45 29 16 7 5 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 1 1 2 3 4 5 5 3 1 1 0 1 1 2 2 2 3 4 5 6 6 7 8 8 8 8 8 10 12 12 12 13 13 14 15 16 16 15 14 14 15 14 14 13 12 11 12 13 14 14 14 15 15 14
1 1 4 4 4 4 4 8 18 32 40 46 37 34 34 34 35 38 38 37 36 38 46 35 32 32 35 43 54 52 27 8 5 5 6 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 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 4 5 4 2 1 0 0 1 2 2 2 3 3 4 6 6 6 7 7 6 5 7 9 10 11 12 13 14 16 17 19 19 18 17 15 13 13 12 11 12 12 13 14 14 15 15 15 14 13
1 2 2 3 4 4 4 5 12 25 31 37 32 25 22 24 29 32 33 29 28 35 46 32 21 22 29 36 38 35 10 5 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 4 4 4 2 1 1 0 0 1 2 2 2 2 3 5 5 5 6 7 5 5 6 8 9 10 11 12 13 15 17 19 20 22 24 19 15 13 11 11 13 15 16 16 15 16 16 15 14 13
2 2 2 3 3 4 3 4 7 13 18 27 29 18 8 14 24 27 26 22 23 32 36 26 18 21 30 36 39 34 13 5 4 3 3 2 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 1 2 2 3 4 5 3 1 1 1 0 1 2 2 2 2 2 3 4 5 6 6 5 5 5 7 8 9 10 12 13 14 16 17 18 20 22 21 17 12 11 11 13 15 16 17 15 15 15 15 14 14
3 3 2 3 3 4 4 3 5 6 7 15 27 19 6 8 18 21 19 17 22 30 32 21 14 16 20 25 29 25 12 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 5 5 3 2 1 0 1 2 2 2 2 2 3 3 5 6 6 5 5 6 7 7 9 10 11 12 13 15 16 17 18 18 17 16 14 12 12 13 15 17 17 16 16 16 15 15 14
3 3 3 3 3 4 4 4 4 5 5 9 24 18 7 4 9 12 12 12 18 28 30 17 7 6 6 9 10 6 3 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 6 4 4 2 1 2 2 2 2 2 3 4 4 5 5 5 5 5 6 7 8 9 10 11 12 13 14 16 16 17 16 16 16 15 13 13 13 14 17 16 16 16 16 16 15 15
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