Vorticity
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nan 9 9 10 11 13 13 12 10 9 9 9 8 8 8 7 7 7 8 7 7 8 8 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 8 8 7 7 7 7 8 8 7 7 7 7 8 8 7 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 9 14 17 16 14 13 14 14 13 11 11 13 13 13 11 10 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 nan
nan 9 10 10 11 11 12 11 10 9 9 9 9 9 8 8 7 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 7 6 6 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 10 9 8 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 7 8 11 13 14 14 14 14 14 13 12 12 14 15 15 14 12 10 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 nan
nan 10 11 10 10 9 9 8 7 8 8 9 9 9 9 8 7 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 10 10 9 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 10 11 12 13 13 12 12 12 13 15 16 16 15 14 11 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 nan
nan 9 10 9 8 8 8 7 6 6 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 10 9 9 9 9 8 7 7 7 7 7 8 8 8 7 7 6 7 7 7 8 8 8 7 7 7 8 9 9 9 9 8 8 8 7 7 7 8 8 9 9 8 7 7 7 8 8 8 7 7 8 9 9 9 9 10 10 10 10 10 12 14 17 17 17 16 14 12 10 8 7 7 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 nan
nan 7 8 8 8 8 8 6 5 6 6 6 6 7 7 7 7 6 7 7 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 8 9 10 10 10 10 10 9 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 8 7 7 8 8 8 9 8 8 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 7 8 10 14 17 18 17 16 14 12 10 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 nan
nan 7 7 7 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 8 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 7 7 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 8 8 7 7 6 6 7 9 12 16 18 18 17 15 12 10 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 nan
nan 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 5 5 7 8 9 8 7 7 7 7 7 7 7 8 9 8 7 6 6 6 7 8 9 9 9 9 9 9 8 8 8 9 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 9 9 8 8 8 8 7 7 7 7 8 8 9 9 8 8 8 7 7 6 6 7 8 9 12 15 18 20 18 14 11 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 nan
nan 8 8 8 8 7 6 7 7 7 7 7 7 7 6 6 6 5 5 6 8 9 8 8 7 7 6 6 6 7 8 8 8 8 7 5 6 7 8 9 10 10 10 9 7 6 6 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 8 8 8 7 7 7 6 6 7 7 8 11 16 19 21 19 15 10 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 nan
nan 6 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 9 9 8 8 7 7 7 7 7 8 8 8 7 5 5 6 7 8 9 10 11 9 7 5 5 5 5 6 6 6 7 6 7 7 8 9 9 8 8 8 7 7 7 7 7 7 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 8 11 15 19 21 20 16 12 9 8 8 7 7 7 7 7 6 6 7 7 7 7 6 6 6 6 6 5 5 5 5 nan
nan 5 6 7 7 7 7 7 7 7 6 7 7 7 7 8 8 8 7 6 6 8 9 9 9 8 8 7 7 7 7 8 8 7 7 6 6 6 6 7 8 9 10 9 7 6 5 5 5 6 6 6 6 5 5 5 7 8 9 9 8 8 7 7 7 7 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 7 8 9 10 13 18 21 20 18 14 11 10 10 10 8 7 6 6 6 7 7 7 7 7 6 6 6 6 6 5 5 6 nan
nan 4 5 7 8 8 8 7 7 6 6 6 7 7 7 8 8 8 8 7 7 8 8 8 8 8 7 7 6 6 6 8 8 7 7 7 6 6 6 6 7 8 9 8 7 6 5 5 6 7 7 7 6 5 4 4 5 6 8 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 7 8 8 8 8 8 8 9 9 8 8 8 7 7 8 8 8 9 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 12 16 18 19 16 13 13 15 16 14 11 7 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 nan
nan 4 5 5 7 8 8 8 8 7 6 6 6 7 7 7 8 8 8 8 8 8 8 7 7 7 7 6 5 5 6 7 8 8 8 8 7 7 7 7 7 8 8 7 6 6 6 6 7 7 7 7 7 6 5 4 4 5 6 7 8 9 9 8 8 8 7 7 7 8 8 8 8 8 7 8 8 8 8 8 8 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 10 13 15 14 13 13 15 19 20 15 10 7 6 7 7 7 7 7 7 7 6 6 6 6 6 7 nan
nan 5 5 5 6 7 8 8 8 7 5 5 6 7 8 8 8 9 8 8 9 9 8 8 7 7 6 6 5 5 5 6 7 8 8 7 7 8 8 8 8 8 7 6 6 6 6 7 8 7 7 6 7 8 8 6 5 4 4 5 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 7 7 6 7 7 8 8 8 8 9 9 8 8 8 8 9 9 9 8 7 7 7 9 10 11 11 12 14 19 20 16 11 8 7 7 7 8 8 7 7 7 7 7 7 7 7 7 nan
nan 7 5 5 5 6 7 8 8 8 6 4 5 7 8 9 10 10 10 9 9 9 9 9 8 7 6 6 6 6 6 6 6 7 7 7 6 7 8 9 9 9 8 7 6 6 7 8 8 8 7 6 7 8 9 8 7 5 4 5 6 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 7 8 9 9 8 8 7 8 9 9 9 8 8 7 7 8 9 9 10 12 16 18 17 13 11 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 nan
nan 8 6 5 5 6 7 8 9 9 8 6 6 7 8 9 10 11 11 11 10 10 10 10 9 8 7 7 6 6 5 6 7 7 6 6 6 6 7 9 9 9 8 7 6 7 7 7 8 8 8 7 7 8 8 9 8 7 6 6 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 8 8 8 7 7 8 8 8 8 9 9 8 7 7 8 9 9 9 9 9 9 9 8 9 9 11 14 18 19 15 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 9 9 nan
nan 8 7 6 6 6 7 8 9 10 9 8 7 7 8 10 11 12 13 12 12 11 10 10 10 9 9 8 7 6 5 6 7 7 6 6 6 6 6 8 9 9 8 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 7 7 8 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 9 9 9 11 16 19 18 13 11 11 12 11 9 9 9 8 8 8 8 8 9 9 9 9 9 nan
nan 8 7 7 7 7 7 8 9 10 9 8 8 8 9 10 12 13 13 13 12 11 10 10 11 10 10 9 8 7 6 6 6 6 6 6 6 6 6 7 9 9 9 8 7 7 6 6 5 5 6 7 8 9 9 8 8 7 7 8 9 10 11 11 11 11 11 10 9 8 8 7 8 8 9 9 9 8 8 7 7 7 8 8 7 8 8 8 9 9 8 8 8 9 9 10 10 10 9 9 9 9 10 10 10 10 10 11 10 9 9 9 11 15 17 14 11 12 14 15 13 11 9 8 8 8 8 8 9 9 9 9 9 9 nan
nan 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 11 12 12 12 11 10 10 11 11 11 10 9 9 8 7 6 5 4 5 5 5 6 7 8 9 10 10 8 7 6 6 5 5 5 7 9 9 9 8 7 7 7 7 8 9 9 10 10 12 12 11 10 9 8 7 7 7 8 9 9 9 9 8 8 8 7 7 7 7 8 8 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 10 13 13 11 10 12 15 16 16 14 12 9 8 8 8 9 9 9 9 9 9 9 nan
nan 8 7 6 7 7 7 7 7 6 6 7 7 7 8 8 8 8 9 10 11 10 9 9 9 10 10 10 9 9 9 8 6 4 3 4 5 6 6 6 7 8 10 11 10 9 8 7 6 5 5 7 9 9 8 7 6 6 7 8 8 8 7 6 8 11 12 12 11 11 10 9 8 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 9 10 10 10 9 10 12 14 16 16 15 11 9 8 8 8 9 9 9 9 8 8 nan
nan 7 7 7 7 7 6 6 6 5 5 5 6 6 7 7 6 7 8 9 10 9 8 8 8 8 8 8 8 9 10 10 8 6 4 4 5 6 6 6 6 7 9 10 11 10 9 8 7 5 4 6 7 7 6 5 5 6 8 9 8 7 6 5 7 9 10 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 8 8 8 9 9 9 9 10 11 14 16 17 14 10 9 8 8 8 8 8 8 8 8 nan
nan 7 8 8 7 7 6 6 6 5 4 4 5 6 7 7 7 7 8 9 9 9 9 8 7 7 7 7 8 9 10 11 11 9 7 6 6 7 8 7 7 6 7 9 10 10 10 10 9 6 5 5 5 4 4 4 4 5 7 8 8 6 5 4 5 6 7 9 10 11 12 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 10 11 11 10 10 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 11 11 10 11 12 16 17 14 11 9 8 7 7 7 7 7 7 7 nan
nan 8 8 8 8 8 7 7 6 6 4 4 4 6 7 8 8 7 7 7 8 8 9 9 8 7 6 7 8 8 10 11 11 11 11 9 8 7 8 8 7 6 7 8 9 10 10 10 9 8 6 5 4 3 2 3 4 5 6 7 6 5 4 3 3 2 3 6 8 9 10 11 11 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 11 10 10 9 8 7 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 12 14 14 13 12 13 15 15 13 10 9 8 7 7 7 7 7 7 7 nan
nan 9 9 9 9 8 8 8 7 7 6 5 5 6 8 9 9 9 8 7 6 7 9 9 8 8 8 8 9 9 10 10 11 12 12 11 9 7 8 8 7 7 7 7 8 10 10 10 9 8 8 7 6 4 3 3 4 4 6 7 8 7 6 4 3 2 2 3 5 7 8 9 10 11 10 9 8 9 9 9 8 8 8 8 7 7 8 8 8 9 10 10 10 10 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 11 13 15 15 14 13 13 13 12 11 9 8 7 6 6 6 6 7 7 7 nan
nan 10 10 10 10 10 9 9 9 9 8 8 7 7 9 10 11 11 9 8 6 7 8 9 9 9 10 11 12 11 11 10 10 11 12 11 9 7 7 7 7 7 7 7 8 8 9 10 10 9 9 9 9 7 6 6 5 5 6 8 10 10 9 8 7 5 4 4 4 5 6 8 9 10 11 10 9 9 9 9 8 8 8 8 7 7 8 9 9 9 9 9 10 10 9 9 9 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 8 9 11 12 13 13 13 13 13 13 11 9 8 7 6 6 6 6 6 6 7 7 nan
nan 13 13 13 13 13 13 12 12 12 11 11 10 9 10 11 13 13 12 11 9 9 10 10 10 11 11 12 13 12 11 10 9 10 11 11 9 8 7 7 7 7 7 7 8 8 9 10 10 10 10 10 10 9 9 8 7 7 6 6 8 9 10 11 10 9 7 6 5 5 6 7 8 9 10 10 10 10 10 10 9 9 8 8 9 10 10 10 10 9 8 8 9 9 9 9 9 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 8 8 9 9 9 10 11 12 13 12 10 7 6 5 5 5 5 5 6 6 7 7 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
387 433 462 459 474 465 395 340 328 338 314 264 228 223 235 221 168 225 450 465 303 273 426 427 304 237 173 119 90 96 101 133 154 187 284 376 385 361 369 340 274 209 174 116 78 35 10 3 1 0 0 0 0 0 0 0 3 8 11 12 25 35 23 6 0 2 4 6 6 7 6 5 2 0 0 0 0 0 0 0 4 14 32 53 60 57 54 55 59 70 99 123 112 94 85 83 90 101 113 143 232 310 425 428 403 399 402 393 380 386 400 393 362 325 315 293 276 270 271 256 226 246 256 306 354 389 446 517 623 677 672 681 731 752 705
287 339 368 374 437 510 504 520 545 570 571 536 475 410 366 388 329 371 585 549 507 503 542 515 393 277 186 112 76 67 79 143 187 206 273 346 348 314 325 336 318 231 199 155 105 47 14 6 2 0 0 0 0 0 0 0 0 5 7 9 14 14 10 3 0 0 1 3 4 3 2 1 0 0 0 0 0 0 0 0 1 8 24 40 43 43 37 34 41 39 59 89 91 76 65 64 71 85 92 100 149 182 235 305 340 324 305 306 306 299 292 280 280 262 254 244 234 226 209 187 153 193 187 200 218 245 276 316 375 439 494 551 641 661 572
279 353 411 448 508 625 714 785 851 892 861 763 645 517 433 435 492 470 463 423 411 437 438 380 288 209 150 90 71 65 96 185 281 341 371 383 401 458 537 462 314 215 154 136 95 43 12 4 1 0 0 0 0 0 0 0 1 2 2 3 4 3 3 1 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 4 13 21 23 23 23 23 26 23 37 59 68 59 48 45 47 57 63 65 75 91 116 190 255 247 227 238 252 237 227 220 219 226 231 229 211 169 114 89 92 111 111 117 118 130 152 175 207 244 281 353 422 429 415
382 454 606 686 750 861 970 1009 1016 992 927 841 747 678 662 571 488 458 445 375 301 245 215 199 165 142 123 75 61 89 144 224 324 385 398 423 479 540 536 428 303 196 124 81 55 30 9 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 4 2 1 2 2 1 1 0 1 0 0 0 0 0 0 0 2 8 13 14 18 19 20 21 21 25 35 47 53 34 25 19 32 41 47 56 60 66 86 108 127 143 169 205 176 176 186 178 166 172 177 162 111 66 50 48 57 64 62 55 57 66 80 104 136 158 195 242 265 271
527 616 786 861 864 898 935 915 897 886 872 897 957 922 835 651 511 516 485 356 230 154 110 97 95 104 96 60 50 98 176 259 315 336 350 395 508 554 533 444 306 190 116 69 40 20 8 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 2 3 2 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 2 8 10 11 13 15 17 18 17 18 22 27 30 24 20 18 22 28 32 34 35 36 37 39 53 65 95 134 124 129 134 111 86 88 87 74 49 32 20 18 23 25 24 23 24 26 31 33 53 67 92 129 156 174
671 751 795 731 694 681 660 662 691 716 756 879 1002 921 809 726 689 594 423 287 213 141 78 68 80 102 108 85 68 100 162 219 241 249 288 357 452 527 521 415 263 151 90 55 31 16 6 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 1 0 0 1 2 2 1 1 2 1 0 0 0 0 0 0 1 3 6 7 8 8 10 13 13 12 13 16 19 22 22 22 20 19 21 21 21 23 22 20 21 35 33 53 73 84 87 74 48 31 34 29 19 16 12 8 10 15 17 17 15 13 13 12 11 20 28 40 56 68 77
565 484 456 448 485 502 543 579 579 577 637 753 792 747 721 677 655 555 430 351 286 207 156 137 100 118 153 133 104 125 166 188 187 190 223 313 432 503 521 399 229 114 64 41 24 14 6 0 0 0 0 0 0 0 0 0 0 0 1 3 2 1 2 2 1 0 0 1 2 2 2 2 4 2 1 0 0 0 0 0 0 3 4 6 6 5 6 7 8 8 9 12 17 20 21 21 19 19 19 19 17 15 15 17 18 21 25 30 34 40 43 34 21 16 14 12 10 9 8 7 9 13 15 14 9 9 11 9 6 7 9 13 18 20 24
446 339 346 357 393 433 484 505 484 473 513 567 589 581 613 594 615 593 506 429 388 343 290 258 160 139 162 161 139 143 152 147 146 152 176 252 382 469 483 368 212 103 54 33 18 7 5 0 0 0 0 0 0 0 0 0 0 0 0 5 5 4 3 2 1 0 1 2 3 3 3 3 3 1 0 0 0 0 0 0 1 1 3 4 4 5 5 6 6 6 6 9 12 13 16 17 18 19 19 17 13 8 7 11 10 14 20 21 19 15 15 14 15 13 10 8 6 6 8 9 11 13 12 12 9 9 8 6 5 5 5 5 6 7 8
332 271 254 272 319 368 396 386 357 339 332 334 354 375 428 431 424 401 369 362 386 395 363 294 208 171 178 169 149 136 123 111 107 109 121 158 297 400 419 340 213 107 53 28 9 1 1 0 0 0 0 0 0 0 0 0 0 0 0 5 7 6 4 3 2 2 2 3 4 4 4 3 2 1 0 0 0 0 0 1 1 1 2 4 4 4 5 6 6 5 4 6 7 8 11 14 15 17 18 13 9 7 9 10 9 8 10 12 12 7 6 7 8 8 9 7 6 6 7 8 7 8 7 9 8 6 6 5 6 6 6 5 6 6 6
259 209 186 194 225 254 263 249 224 196 178 161 175 203 235 242 232 231 241 250 256 256 264 232 185 165 149 130 116 104 91 80 72 71 81 128 207 322 385 338 214 105 52 23 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 8 5 3 3 3 3 4 4 4 4 4 2 0 1 1 0 0 0 3 1 0 1 3 3 4 5 5 6 6 4 4 5 6 7 8 9 11 13 9 7 7 9 8 6 7 6 3 4 3 4 6 6 6 6 6 6 6 6 6 4 5 4 4 5 5 5 6 6 6 7 6 6 7 7
226 178 133 120 131 146 150 140 121 103 104 94 101 125 139 146 138 119 109 128 160 181 177 141 120 108 96 86 75 63 50 40 41 41 46 72 171 323 467 428 226 101 51 22 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 8 5 3 2 3 3 3 3 3 4 5 4 2 1 0 0 0 1 4 2 0 1 2 3 4 5 6 6 6 4 4 5 5 6 6 7 8 8 7 5 5 5 4 3 3 2 1 1 1 3 4 5 5 5 5 5 4 4 3 3 3 3 3 4 5 6 7 8 8 6 6 7 8 9
210 148 96 73 68 68 66 63 65 68 75 67 70 94 114 125 125 120 112 89 82 82 78 74 71 68 63 55 45 34 26 22 23 21 21 37 88 200 408 436 199 89 45 27 15 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 2 3 2 3 3 2 2 3 3 1 0 0 0 0 0 2 1 0 0 1 2 4 5 6 6 5 4 3 4 5 6 6 7 7 7 5 4 3 4 4 3 2 1 1 1 4 8 7 5 4 4 4 3 2 2 2 2 2 2 3 4 4 5 6 5 5 5 6 8 9 10
199 116 79 56 36 28 33 47 59 67 72 48 49 59 75 78 68 54 43 41 41 44 44 43 43 42 39 35 30 23 17 12 12 14 12 20 40 68 152 218 146 72 33 27 15 3 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 1 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 5 5 3 3 4 5 6 7 8 8 8 6 4 3 3 4 4 2 1 1 2 4 5 3 2 2 2 2 1 1 1 2 1 1 2 3 4 4 3 4 4 4 5 5 7 8 10
152 88 57 34 16 9 18 36 53 62 65 62 51 44 43 42 39 36 33 31 30 32 32 30 27 25 26 27 24 20 14 3 4 6 12 22 28 36 65 102 96 37 28 29 12 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 1 1 0 0 0 1 2 3 4 4 4 4 3 4 5 5 6 6 7 8 9 7 5 5 5 4 4 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 3 3 4 4 4 4 4 4 5 6 6 6
98 64 41 23 12 10 9 13 27 40 42 65 63 46 35 34 34 30 28 26 25 26 24 22 15 11 11 13 13 14 9 2 1 2 6 8 13 27 48 70 64 15 36 35 16 6 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 0 0 0 0 0 0 0 1 1 2 2 3 3 4 3 3 4 4 5 6 6 7 8 9 8 7 6 5 5 4 3 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 3 3 3 3 3 4 4 5 5 5
55 38 28 24 29 34 27 10 16 32 33 56 64 48 34 33 32 25 13 18 16 19 18 14 7 2 1 1 2 5 2 1 0 1 3 5 16 46 82 93 53 28 42 37 23 12 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 1 1 2 2 2 3 3 3 3 3 3 4 5 5 6 7 8 8 8 7 5 4 4 3 3 2 2 2 1 2 2 1 2 2 2 2 2 2 1 1 1 2 2 2 3 3 3 3 3 3 4 5 5
23 13 7 12 29 48 59 36 50 63 43 51 69 56 34 32 32 25 14 12 12 12 11 7 3 0 0 0 1 0 0 0 0 1 7 32 73 97 106 128 73 53 43 34 24 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 3 3 2 2 3 3 3 3 4 5 7 8 9 8 6 5 4 4 3 3 3 2 2 3 2 2 3 3 3 3 3 3 2 1 1 2 2 2 2 2 3 3 3 3 4 4 5
24 20 11 5 12 34 72 72 72 87 57 57 70 57 33 29 29 24 17 15 17 16 10 4 2 0 0 0 0 0 0 0 2 7 21 49 69 46 42 91 83 62 44 27 19 14 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 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 3 4 6 7 9 9 8 5 4 4 4 4 4 3 3 4 3 3 3 3 3 3 3 4 3 2 2 2 3 2 2 2 3 3 4 4 5 5 5
45 40 22 7 5 22 62 86 66 89 66 61 66 54 35 27 28 28 24 24 22 18 7 0 0 0 0 0 1 4 7 11 16 27 47 68 67 43 39 61 75 59 37 21 13 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 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 4 5 7 9 10 9 7 5 5 4 5 5 5 4 3 3 3 3 3 4 4 4 4 3 3 3 3 3 3 3 3 4 5 5 5 6 7 7
61 36 16 5 4 14 36 62 58 89 85 80 75 54 32 26 24 14 14 20 19 11 5 2 2 1 2 2 10 11 14 12 9 30 66 74 63 53 49 53 56 38 19 12 10 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 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 3 4 6 8 9 10 9 6 5 4 5 5 6 5 4 4 4 3 4 5 5 4 4 4 4 4 4 3 3 4 5 4 5 6 7 9 9 10
42 16 3 2 4 7 14 29 57 91 98 87 70 47 29 25 27 23 23 21 19 17 16 14 11 10 9 11 9 9 16 23 48 89 97 73 67 68 58 44 33 22 13 8 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 1 1 1 1 1 1 1 1 1 0 0 0 1 2 2 2 2 2 3 5 8 11 10 9 6 5 4 6 6 6 6 6 5 4 4 5 5 5 5 5 5 5 5 5 5 3 4 5 6 7 8 10 11 11 12
11 3 1 2 4 5 6 24 65 96 104 95 73 46 28 24 26 26 25 23 25 31 33 32 29 27 25 20 15 17 22 37 71 101 81 44 34 21 27 19 9 9 13 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 1 1 1 1 1 1 0 0 0 0 0 0 1 1 2 2 2 3 4 7 9 9 8 5 6 5 6 7 8 9 10 8 8 7 7 6 5 5 6 5 5 5 5 5 4 4 5 6 8 10 11 11 11 12
2 2 2 3 4 5 5 25 64 95 115 109 75 51 27 19 20 22 23 27 32 37 40 40 42 40 39 33 29 27 33 58 91 89 32 24 19 16 7 1 0 2 5 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 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 2 2 2 2 4 5 7 8 7 4 4 5 5 7 8 10 12 11 10 9 8 7 6 6 6 6 6 6 6 5 5 5 5 6 7 10 10 10 10 11
6 3 3 3 4 4 7 26 66 93 113 113 69 39 22 13 11 14 18 22 26 32 38 41 42 44 46 44 41 40 50 75 91 50 14 20 20 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 1 2 2 2 1 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 0 0 0 0 0 0 0 1 2 2 2 2 3 5 6 7 6 5 4 4 5 6 8 10 11 10 10 10 9 8 7 7 6 6 6 6 6 5 4 4 5 5 7 8 8 8 9 9
17 6 3 4 3 4 8 39 83 99 102 107 88 89 70 22 9 9 15 18 18 21 30 37 42 47 49 48 49 55 65 77 75 47 28 21 17 9 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 1 1 2 2 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 2 2 2 3 5 5 5 5 5 4 4 4 5 6 7 9 9 8 9 9 8 8 8 7 6 7 7 6 6 5 5 5 5 6 6 7 7 7 7
24 9 3 4 4 4 5 31 67 90 103 116 108 87 57 19 7 4 5 8 9 9 16 27 41 48 50 51 62 78 87 78 45 24 32 18 8 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 1 1 2 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 2 3 4 5 5 6 5 4 3 4 4 4 6 7 8 8 9 9 8 7 7 7 8 7 7 7 6 6 5 5 5 5 5 5 5 5 5 6
20 9 3 4 4 4 8 32 65 91 103 100 60 26 48 25 22 17 7 1 0 1 5 15 26 42 49 51 59 74 84 66 31 17 35 20 5 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 1 2 1 1 1 2 2 2 1 0 0 0 0 0 0 0 1 1 2 3 4 5 5 5 4 3 3 3 4 5 5 6 7 8 9 9 8 8 7 8 7 8 8 7 6 6 5 4 4 4 4 5 6 5 6 6
21 11 4 3 4 4 10 33 65 88 87 65 14 5 2 0 10 10 3 0 0 0 4 20 26 40 47 49 54 58 50 31 12 4 17 15 6 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 0 1 0 0 0 0 0 0 0 1 2 1 1 1 2 3 2 1 0 0 0 0 0 0 0 1 2 2 3 4 5 5 5 6 5 3 3 4 5 5 6 6 8 9 10 9 9 8 7 7 7 8 8 6 6 6 5 4 4 4 5 6 6 4 5
21 14 8 6 5 5 11 28 49 62 58 30 6 2 1 0 0 0 0 0 0 0 4 20 19 24 31 35 41 48 31 8 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 1 0 1 0 0 0 0 0 0 1 2 2 2 2 3 3 4 2 1 1 0 0 0 0 0 1 2 2 3 4 4 5 5 5 6 5 3 3 4 5 5 5 6 7 8 9 9 9 9 9 8 7 8 9 7 6 5 5 5 5 5 6 6 5 6 6
22 18 14 10 5 5 15 32 48 48 34 19 7 1 0 0 0 0 0 0 0 0 2 3 1 5 10 13 15 19 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 1 2 3 3 1 0 0 0 1 2 2 2 3 4 4 5 3 2 1 1 0 0 0 0 1 1 3 4 4 5 5 5 4 4 5 4 4 5 5 6 6 7 8 8 8 8 9 9 9 10 9 8 7 7 7 6 5 4 5 6 6 7 6 6 6
31 27 22 16 7 5 19 42 58 52 35 24 11 2 0 0 0 0 0 0 0 0 0 0 0 0 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 3 3 2 0 0 1 0 1 3 4 5 5 4 3 1 1 1 0 0 0 1 2 3 4 4 3 4 4 4 5 5 5 5 6 6 7 8 8 8 8 8 8 9 8 8 9 9 8 7 7 6 6 5 4 6 7 7 8 7 7 7
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