Vorticity
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nan 6 6 6 6 7 6 5 5 5 5 5 5 4 3 3 4 4 4 4 5 5 4 4 4 4 5 6 6 6 6 7 7 7 6 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 7 11 14 15 13 10 7 5 5 6 5 5 6 6 6 6 6 6 6 6 7 7 8 7 8 8 8 7 6 6 6 6 6 6 5 5 5 5 5 6 6 6 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 5 4 3 nan
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nan 9 10 10 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 8 8 7 6 6 7 7 7 7 6 6 6 7 8 8 8 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 7 7 7 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 9 13 17 18 18 17 16 15 14 14 14 14 14 14 13 12 10 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 5 5 5 5 nan
nan 9 9 9 10 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 8 8 7 6 6 6 7 7 7 6 6 7 8 8 8 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 8 8 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 10 13 15 16 17 16 16 15 15 15 15 16 16 16 14 12 10 9 8 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 5 5 5 nan
nan 9 7 7 8 10 11 10 9 9 9 9 9 9 8 8 8 8 8 8 9 8 8 7 7 7 7 6 6 6 6 7 8 8 7 6 6 7 8 8 8 7 8 9 9 8 7 6 6 6 6 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 11 12 14 15 15 15 15 15 16 16 17 17 17 16 15 12 10 9 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 nan
nan 10 9 8 8 9 9 10 9 9 10 10 10 10 9 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 7 7 8 9 9 9 9 9 10 10 9 8 7 7 6 6 7 8 8 8 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 12 12 13 13 14 16 18 18 17 17 17 16 14 12 10 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 nan
nan 10 10 10 9 9 9 9 9 10 10 11 11 11 10 9 8 8 8 8 8 9 9 9 9 10 9 8 8 8 7 7 7 7 8 8 8 7 8 9 10 10 10 10 10 10 9 8 7 7 7 8 8 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 13 16 18 19 18 17 17 16 15 13 11 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 nan
nan 10 11 11 11 10 9 8 8 9 10 10 10 10 10 9 9 8 8 8 8 9 9 9 10 10 10 8 7 7 7 7 7 6 7 7 7 7 7 8 9 9 9 9 9 9 9 8 8 7 7 7 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 9 8 8 8 7 7 7 8 10 13 17 18 18 18 18 17 15 13 12 10 9 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 nan
nan 9 11 12 12 11 9 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 7 6 7 7 7 6 6 6 6 6 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 9 10 9 8 8 7 7 6 6 7 8 11 13 15 18 20 20 19 17 14 12 11 10 9 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 nan
nan 8 10 11 10 9 8 7 7 7 8 8 8 8 8 8 8 8 8 9 10 10 10 10 9 8 7 7 7 7 7 7 7 6 6 5 6 6 6 8 9 9 9 8 7 6 6 6 6 6 6 6 7 7 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 6 6 6 7 8 9 12 15 19 22 23 21 17 13 11 10 9 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 nan
nan 8 8 8 8 7 6 6 6 7 7 7 7 8 7 7 7 7 8 8 9 10 10 10 10 9 8 7 8 8 8 8 7 7 6 5 6 6 6 7 8 10 10 8 7 6 6 6 6 6 6 6 6 7 7 8 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 6 7 7 7 7 8 11 14 20 24 25 22 18 14 12 10 9 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 5 nan
nan 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 9 9 10 9 8 8 8 8 8 8 8 7 6 6 6 6 7 7 8 9 9 8 7 6 6 6 6 6 6 6 6 6 6 7 8 9 9 9 9 8 7 7 7 7 8 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 8 8 8 9 9 10 9 8 7 7 7 7 7 7 7 7 7 8 10 14 20 23 24 22 19 15 14 13 13 11 10 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 5 nan
nan 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 7 7 6 7 8 8 7 6 6 7 7 8 8 8 8 8 8 7 6 6 6 7 7 7 6 6 5 5 5 6 7 8 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 8 9 10 10 9 8 7 7 7 8 8 8 8 8 8 8 8 10 13 17 21 22 20 17 17 18 20 19 15 11 9 8 8 8 8 8 8 7 7 7 7 6 6 6 5 nan
nan 6 5 5 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 7 7 7 7 6 5 6 7 8 8 8 7 7 8 8 9 9 9 8 7 6 6 6 7 8 8 8 7 6 5 5 4 4 5 6 8 9 10 9 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 9 8 8 7 8 8 8 8 8 8 8 8 8 8 9 11 15 17 17 15 15 18 23 26 22 15 11 9 9 9 8 8 8 8 7 7 7 6 6 6 6 nan
nan 7 6 6 7 7 8 8 8 8 7 7 7 8 8 8 7 7 7 7 6 5 5 5 6 7 7 7 6 5 5 6 7 8 8 8 8 8 9 9 10 10 9 7 6 6 7 7 8 9 8 7 6 6 5 5 4 4 5 6 8 9 9 9 9 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 8 9 9 9 8 9 9 9 9 8 8 8 8 8 8 7 7 8 10 11 12 12 13 16 22 27 24 19 14 10 9 9 9 9 8 8 8 8 7 7 6 6 6 nan
nan 7 7 7 7 7 8 8 9 9 8 8 8 9 10 10 9 9 9 8 7 6 5 5 6 7 7 7 6 6 5 6 6 7 7 8 8 8 9 10 11 11 10 8 6 6 6 7 8 8 8 7 7 6 7 6 5 5 4 5 7 8 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 7 7 8 9 9 9 9 8 8 7 7 7 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 6 6 7 8 9 11 12 16 21 23 22 19 14 11 10 9 10 9 9 9 8 8 8 7 7 6 6 nan
nan 7 7 7 7 7 8 8 9 9 9 9 9 9 10 9 9 9 9 9 9 8 7 7 7 7 8 8 7 6 6 6 6 6 6 6 7 7 7 9 10 11 11 9 8 7 6 6 6 7 7 8 8 8 8 7 7 6 5 5 7 9 10 11 11 11 11 11 11 10 9 8 8 8 8 8 8 8 7 6 7 9 9 10 9 9 8 8 8 7 7 8 9 10 9 9 10 10 10 9 8 8 8 8 8 8 8 7 6 7 8 9 10 13 18 21 21 19 17 15 12 10 10 10 10 10 10 9 9 8 8 7 7 7 nan
nan 7 7 6 6 7 7 8 9 10 9 9 9 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 7 6 6 6 5 5 6 6 6 7 8 9 11 11 11 10 9 7 6 5 6 7 8 9 8 8 8 8 8 7 7 8 9 11 12 13 14 14 14 12 11 10 10 9 9 9 9 9 8 7 7 7 8 9 10 9 9 8 8 8 8 8 9 10 10 10 10 11 11 10 9 9 9 9 9 9 9 9 8 7 7 8 9 11 14 19 20 17 16 17 17 14 11 10 11 11 11 11 10 10 9 9 8 8 8 nan
nan 7 6 6 6 6 7 7 9 9 9 9 8 8 7 7 8 8 9 10 11 11 11 11 12 12 12 11 10 8 7 6 5 5 5 6 6 7 7 7 8 10 11 11 11 10 9 7 5 5 5 6 7 7 7 8 9 9 8 8 8 9 10 11 12 14 15 15 14 13 12 11 10 10 10 10 9 9 9 9 8 8 9 9 9 9 8 7 8 9 9 10 11 11 11 11 12 12 11 11 10 10 10 10 11 11 11 10 9 8 8 9 11 14 16 14 13 15 19 20 17 13 12 12 12 12 12 11 11 10 10 9 9 9 nan
nan 7 7 6 6 6 6 7 8 8 9 8 8 8 7 8 8 9 9 10 11 11 12 12 12 13 13 12 11 10 9 8 6 4 5 6 6 7 7 7 7 9 11 12 12 12 11 9 7 5 4 4 4 4 5 7 8 9 9 9 9 9 9 9 10 11 13 14 14 14 13 12 11 11 11 11 11 10 10 11 10 9 9 10 10 9 8 9 9 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 12 12 12 11 10 10 9 9 10 12 13 11 11 14 18 21 20 19 17 14 13 12 12 12 11 11 11 11 11 10 nan
nan 7 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 9 10 10 10 10 11 11 11 11 11 12 11 8 6 4 5 6 6 6 6 6 7 10 11 12 12 12 11 10 8 5 4 3 4 5 7 9 10 11 11 11 11 11 10 9 9 10 10 12 13 13 12 12 13 13 12 11 12 13 13 11 11 11 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 10 9 8 9 10 10 10 10 11 14 17 20 22 21 18 13 11 11 12 12 12 12 12 12 12 nan
nan 7 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 7 7 7 8 9 10 10 11 12 13 11 8 6 5 6 6 5 5 6 7 9 10 11 11 12 12 12 11 8 6 5 6 8 10 12 13 13 13 13 13 13 11 10 9 7 7 9 12 13 12 12 13 12 12 11 13 15 15 13 12 12 13 13 12 12 12 12 11 11 10 10 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 9 10 10 10 11 14 18 21 23 19 14 11 11 11 11 12 12 12 12 12 nan
nan 9 9 9 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 7 8 9 10 10 12 13 13 12 10 8 7 7 6 6 7 7 9 10 10 11 11 12 13 12 10 9 8 9 12 14 15 15 14 14 14 14 12 12 11 9 6 5 6 8 10 11 12 12 11 11 11 13 15 15 13 12 12 14 13 13 12 12 12 12 11 11 10 10 11 11 10 8 8 9 8 8 8 9 9 9 9 9 10 10 9 8 8 8 9 10 11 12 13 14 16 20 22 19 15 12 11 11 11 11 11 11 11 11 nan
nan 11 11 11 11 10 10 9 8 7 6 6 6 7 8 8 8 7 7 7 8 8 9 9 9 9 9 10 9 9 11 13 14 14 13 13 12 10 9 9 8 8 9 10 11 11 11 11 11 13 13 11 10 10 12 14 14 13 13 13 13 12 11 11 10 9 6 5 5 6 7 9 10 11 10 9 10 12 13 13 11 11 12 13 12 11 11 11 12 13 12 12 12 12 13 12 11 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 11 12 14 15 15 16 18 18 16 13 12 11 10 10 11 11 11 11 11 nan
nan 15 15 15 14 13 12 11 10 10 9 8 7 8 8 9 9 9 9 10 10 11 13 14 13 13 12 12 11 11 13 14 16 17 18 17 17 16 14 13 11 10 9 10 11 12 12 11 11 12 13 12 10 9 9 10 10 10 10 11 12 12 11 11 10 8 7 6 6 5 6 7 8 9 8 7 8 9 10 10 9 9 10 10 10 10 9 9 11 13 12 12 13 14 14 13 11 10 10 10 10 9 9 9 9 10 11 11 11 11 10 10 10 10 11 11 12 13 14 14 15 15 14 13 12 11 11 10 10 11 11 11 11 10 nan
nan 19 19 19 18 17 15 14 13 12 12 11 10 10 11 11 12 12 12 12 12 13 15 17 17 16 15 15 15 16 16 16 17 18 20 20 19 18 16 14 12 11 10 10 10 11 12 11 11 11 12 11 9 8 8 8 8 8 9 10 10 11 12 11 10 8 7 7 6 5 5 6 7 7 7 7 7 8 8 7 6 6 8 8 8 8 7 7 9 9 9 9 11 14 14 13 12 11 10 10 10 10 8 8 8 10 12 12 12 11 11 10 10 10 11 11 11 12 13 14 15 15 14 13 12 11 11 10 11 10 10 10 10 10 nan
nan 20 20 20 19 17 16 15 15 14 15 14 14 13 13 13 13 14 14 14 13 14 15 16 17 17 17 16 16 17 17 16 16 15 16 17 16 15 14 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 10 11 11 10 9 8 8 7 6 5 6 5 5 6 6 7 7 6 6 5 5 6 7 7 6 5 7 7 7 6 6 9 11 12 12 11 11 10 10 10 9 8 7 7 9 10 11 11 11 11 10 9 9 10 10 11 12 13 16 17 17 15 13 12 11 10 9 9 9 9 8 8 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
637 463 310 232 236 228 214 169 119 85 70 63 50 35 57 145 259 139 68 75 148 104 59 37 20 20 38 63 77 98 107 164 232 208 142 102 80 69 84 95 77 44 14 3 0 0 0 0 0 0 0 0 0 1 4 5 9 25 43 54 39 13 3 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 11 16 19 19 18 21 40 65 101 154 229 233 204 174 160 174 217 302 409 695 645 610 557 467 386 372 401 428 474 458 396 325 290 276 280 293 323 364 417 472 548 549 552 587 654 758 836 766 703 702 675 682 569
714 599 402 302 299 269 239 187 152 140 147 148 112 70 104 180 430 195 128 201 200 130 80 57 35 22 30 56 80 142 107 133 169 151 135 129 97 59 46 41 61 61 32 9 1 0 0 0 0 0 0 0 0 0 0 3 5 16 29 29 15 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 12 17 18 19 19 18 21 29 49 83 144 172 159 132 109 98 118 201 248 384 481 558 550 467 379 323 312 333 368 347 288 185 151 148 150 157 166 182 223 240 315 373 416 469 514 595 668 677 666 580 528 462 379
845 779 577 483 432 375 310 255 231 252 304 315 228 113 148 294 349 255 229 221 166 105 72 50 29 18 33 60 96 146 143 183 233 254 229 179 138 95 69 49 48 55 35 12 1 0 0 0 0 0 0 0 0 1 2 2 3 8 13 12 4 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 13 15 16 15 15 16 14 20 37 64 92 115 126 99 80 81 117 129 180 258 405 502 447 363 280 245 242 277 224 166 119 92 84 82 81 82 94 115 116 139 185 232 261 276 308 345 356 335 301 247 201 257
968 932 779 662 604 526 427 342 299 324 417 453 299 151 169 375 482 398 278 156 53 18 23 23 18 28 51 69 109 128 176 270 382 438 389 283 200 104 63 43 47 52 33 9 0 0 0 0 0 0 0 0 0 0 1 1 1 3 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 9 9 9 10 11 12 13 16 24 41 76 100 86 75 65 64 65 86 123 211 340 399 348 235 186 167 180 155 115 82 67 61 49 37 35 35 41 46 46 62 85 92 84 86 104 104 99 96 81 101 184
850 837 808 752 702 627 527 416 345 365 433 426 317 205 208 365 425 323 206 117 67 44 28 13 5 13 46 74 102 128 201 327 457 492 429 354 202 101 60 44 52 56 35 11 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 4 6 7 8 9 9 11 12 13 16 26 55 56 50 51 43 46 55 62 70 114 214 308 303 203 144 114 103 87 70 59 46 38 24 14 12 9 10 14 12 11 17 20 16 16 20 21 18 20 27 45 76
705 711 722 710 687 645 594 511 445 431 406 343 341 300 302 344 301 204 118 64 42 28 12 12 6 8 33 67 84 100 166 268 366 418 399 319 191 100 65 59 58 52 31 9 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 5 7 8 8 9 10 11 12 15 21 31 33 32 30 29 35 40 37 35 45 72 133 179 147 108 78 59 50 45 38 27 20 11 9 6 4 5 7 7 5 4 6 8 3 6 10 12 11 11 14 17
585 611 653 659 659 645 618 583 557 530 492 488 504 425 385 309 212 140 94 56 31 21 15 12 9 12 21 46 57 63 109 185 267 358 418 356 181 97 66 58 54 43 22 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 4 5 6 7 7 8 9 10 11 13 18 26 31 31 30 29 29 27 23 16 12 18 28 61 70 61 44 27 25 26 18 13 9 5 5 4 4 4 4 5 4 4 6 6 3 3 7 7 6 6 6 4
532 530 584 585 591 593 603 618 621 611 597 596 569 496 416 314 233 177 137 108 85 59 33 31 26 27 19 29 37 48 89 151 215 301 403 447 222 116 71 53 50 40 18 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 5 6 7 7 7 7 8 9 11 14 21 28 30 29 29 27 25 21 11 8 8 11 16 20 24 20 10 11 13 10 8 5 3 3 4 4 4 4 5 4 4 5 4 4 5 5 6 7 10 11 13
502 495 487 474 470 480 516 552 562 556 556 549 546 499 430 331 236 181 166 160 140 106 62 46 50 51 43 44 52 68 97 135 179 240 303 336 226 131 71 50 45 34 16 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 4 5 6 7 7 7 7 6 8 10 12 18 25 28 28 28 26 22 19 13 11 13 12 8 6 8 9 6 7 8 7 7 5 4 4 5 5 5 4 6 5 5 5 5 5 5 6 8 10 14 16 17
413 408 387 367 354 355 371 391 403 409 421 419 411 380 344 298 255 226 222 223 187 153 125 77 87 92 81 78 81 82 85 99 141 210 276 275 203 128 72 44 34 28 17 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 6 7 8 8 7 6 5 7 9 10 14 19 23 24 24 22 17 12 10 13 15 10 4 4 5 4 3 7 9 6 5 5 4 4 4 4 5 5 6 5 6 7 7 8 11 10 11 13 15 17 18
311 306 293 278 264 257 260 271 286 301 315 312 278 246 233 226 203 178 177 183 165 145 119 101 95 85 85 85 70 53 50 63 97 163 290 356 303 199 105 51 36 34 18 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 6 7 7 7 6 5 5 6 7 9 10 12 16 17 18 17 12 8 7 12 13 7 4 4 3 2 1 4 5 5 4 4 4 4 5 5 5 5 5 6 6 6 7 7 9 11 11 12 14 15 15
213 206 203 202 194 187 189 206 240 268 291 282 263 232 211 191 163 131 106 99 103 99 92 80 61 42 40 37 24 14 17 27 45 87 170 292 393 315 172 74 34 32 14 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 7 5 5 5 5 4 5 7 8 9 10 11 12 11 11 10 8 9 12 8 4 4 4 2 3 2 2 1 2 3 3 4 4 4 5 4 5 5 5 5 6 7 7 7 9 10 11 13 14 15
136 126 131 144 152 154 156 164 177 191 218 201 192 205 186 151 124 104 93 85 82 79 71 58 37 19 12 8 3 2 4 7 16 32 49 83 119 156 140 71 23 12 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 0 0 0 0 0 1 2 3 4 6 7 5 4 4 4 5 6 7 8 9 10 12 10 9 8 9 8 7 6 4 4 5 3 1 2 3 2 1 1 2 3 3 3 3 3 4 4 4 5 5 6 7 6 6 8 10 10 11 14 15
75 68 83 118 146 149 133 112 88 83 100 100 108 117 110 99 93 88 84 78 72 65 62 54 36 24 22 18 7 2 3 4 6 8 23 36 42 43 38 24 8 5 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 0 0 0 0 0 0 1 3 4 5 5 4 3 3 3 5 6 7 8 9 11 10 8 7 6 6 7 7 6 5 6 4 2 1 1 2 1 0 1 2 3 3 3 4 3 3 4 4 5 6 6 6 6 7 9 10 10 10 12 13
32 32 54 89 122 136 119 81 54 39 44 53 61 60 57 53 47 43 51 56 45 34 39 36 26 20 18 14 6 3 7 4 5 6 13 14 10 7 8 7 5 5 13 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 1 2 3 4 4 4 4 4 4 5 5 6 8 10 9 8 7 6 5 5 5 6 7 5 5 3 2 2 2 2 1 2 2 2 2 3 3 3 3 4 4 3 4 5 5 5 5 6 7 9 9 9 9 10
20 15 16 30 55 83 96 80 63 43 35 38 42 37 32 32 35 44 42 36 27 23 20 17 15 13 9 7 7 3 6 3 3 4 6 7 9 11 13 13 5 17 20 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 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 5 5 5 5 6 7 8 9 9 9 7 5 4 4 5 6 5 4 3 3 3 4 3 3 3 3 3 2 2 3 3 3 4 4 3 3 4 3 3 4 4 5 8 9 9 8 9
10 6 4 5 12 27 47 53 52 49 40 32 36 33 26 27 25 22 25 24 21 19 17 15 11 6 2 3 6 2 2 2 2 3 6 15 27 21 16 18 14 33 24 10 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 2 3 3 3 3 4 4 4 4 5 6 6 7 9 10 9 7 5 5 5 5 6 5 4 4 5 5 5 4 3 3 4 4 3 3 3 3 4 4 4 3 2 2 3 3 4 4 5 8 9 9 9 9
2 2 2 2 3 7 14 24 41 49 45 29 24 25 22 20 16 15 17 18 18 16 14 12 8 2 0 1 1 1 1 1 2 7 19 46 65 15 7 25 42 39 24 9 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 2 3 3 3 3 3 3 4 3 4 5 5 5 5 6 7 6 5 4 4 5 5 5 4 5 5 5 4 3 2 3 4 4 4 4 4 4 3 4 4 3 3 3 3 4 4 4 6 7 8 9 10 12
1 1 1 2 2 2 3 10 25 40 46 32 21 20 18 15 13 13 15 16 15 14 12 9 4 0 0 0 2 3 5 9 12 26 46 54 48 19 20 54 70 46 21 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 2 2 2 3 3 4 4 4 5 5 5 7 7 6 5 4 4 5 4 5 5 5 4 4 4 4 4 4 4 5 6 5 4 4 4 3 3 3 4 5 5 5 6 7 8 9 11 14
2 0 0 2 3 4 2 3 11 31 44 36 21 17 17 15 14 14 16 14 13 12 10 6 1 0 0 1 6 7 9 12 16 38 66 51 34 31 37 68 65 35 14 6 3 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 1 1 0 2 1 1 2 2 3 3 4 4 5 4 5 7 8 7 4 3 4 5 5 5 6 6 5 4 4 4 4 4 5 6 5 5 6 5 5 4 3 5 5 6 6 6 6 8 10 11 13 15
4 0 1 2 4 5 4 3 14 31 43 40 29 21 17 16 15 14 15 15 13 12 8 5 3 1 1 6 5 6 10 21 46 72 65 42 52 59 53 64 47 26 15 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 3 3 4 5 5 5 6 8 8 6 4 3 4 5 5 5 6 6 5 4 3 4 5 5 5 5 5 5 6 6 5 5 6 7 7 7 8 9 10 13 13 15 17
3 0 1 2 5 5 5 11 25 37 44 44 35 23 16 15 14 13 14 14 13 12 11 10 9 7 5 10 9 11 22 51 81 78 40 22 28 25 50 44 28 20 19 15 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 2 3 3 4 5 5 7 8 8 6 4 3 4 6 5 5 6 6 5 5 5 5 6 6 6 5 5 6 6 7 6 6 6 7 8 8 10 12 14 14 14 16 17
0 0 1 3 4 5 8 21 32 36 44 46 37 30 28 22 18 14 13 13 13 13 12 12 13 13 11 13 14 18 38 78 96 51 25 18 15 14 12 9 8 12 17 15 9 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 1 2 3 3 4 5 6 7 7 7 6 5 3 5 6 7 8 8 9 9 8 7 7 7 7 6 6 6 6 6 7 7 7 6 7 8 10 13 14 15 14 15 15 16
0 0 1 4 4 4 10 25 34 38 53 62 41 34 33 30 24 16 14 14 13 13 14 15 16 16 15 15 15 19 42 66 52 20 15 11 7 3 1 1 1 4 7 6 8 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 1 3 3 4 4 5 5 6 6 7 4 4 5 7 8 9 11 13 12 10 9 9 9 8 7 7 7 6 6 7 8 8 7 7 9 11 13 14 13 13 14 14 14
1 1 2 4 4 4 7 24 35 41 61 79 57 49 48 34 31 28 28 24 18 16 18 19 18 19 20 24 21 21 40 58 32 18 12 7 2 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 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 4 4 5 4 5 6 6 7 8 9 13 12 10 10 9 9 9 8 8 8 7 7 8 8 8 8 9 10 10 11 11 11 12 12 12 12
2 2 4 4 4 4 8 25 37 43 56 71 59 59 66 45 35 33 37 37 30 27 29 28 28 30 25 33 41 44 49 50 26 12 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 5 4 4 4 4 5 5 5 6 6 7 10 9 9 9 9 10 10 10 10 9 8 7 7 7 8 8 8 9 9 9 9 9 10 10 10 9
1 2 4 4 4 4 12 28 39 45 51 54 36 22 26 42 41 37 36 38 37 35 34 35 35 42 30 37 57 62 49 36 18 9 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 4 4 4 5 5 6 5 4 4 5 6 8 8 8 9 9 9 9 10 10 10 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8
2 2 3 3 3 3 9 20 31 41 45 42 13 3 0 5 15 25 34 39 36 39 39 40 39 44 38 46 60 51 27 15 9 5 3 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 1 1 2 1 0 0 0 0 0 0 1 3 3 4 3 4 4 4 4 5 5 4 3 4 5 6 7 8 9 10 10 10 10 10 10 9 9 9 8 7 7 7 7 8 8 9 9 9 9 8 8
3 3 3 3 3 3 4 9 20 34 35 26 5 1 0 0 1 4 5 6 14 32 51 44 33 33 38 48 56 51 32 6 4 3 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 2 2 1 0 0 0 0 0 0 1 2 2 3 3 4 4 4 4 4 4 4 3 4 5 6 6 7 8 10 11 11 11 11 11 11 10 10 9 8 7 7 7 8 8 9 9 9 9 9 9
4 4 4 3 3 3 3 4 12 26 30 17 4 1 0 0 0 0 0 0 2 24 48 33 20 24 29 35 47 45 15 5 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 1 2 2 2 2 1 0 0 0 0 0 0 1 1 1 2 3 3 3 3 3 3 3 3 3 4 5 5 6 6 8 9 9 10 11 12 13 13 11 10 9 9 7 7 7 8 8 8 8 9 9 10 9
4 4 4 4 4 3 3 7 16 24 25 13 2 0 0 0 0 0 0 0 1 19 26 17 13 12 12 15 19 12 4 2 2 1 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 0 0 0 0 0 0 0 1 1 0 1 2 2 2 2 1 0 0 0 0 1 1 1 1 1 1 2 2 2 2 2 2 2 3 3 4 5 6 7 8 8 8 9 10 11 11 12 11 11 10 8 7 7 6 7 8 7 7 9 9 9 9
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