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
nan 5 5 5 6 6 6 6 7 8 9 9 10 11 13 14 15 16 16 16 17 17 17 17 18 18 19 19 19 18 17 16 16 16 18 20 22 24 25 24 23 22 21 19 14 9 5 3 3 4 4 4 3 3 3 3 3 5 8 12 17 19 16 10 8 8 8 8 7 7 7 7 7 7 7 7 7 7 5 2 -5 -9 -6 3 10 15 19 21 20 15 13 15 17 17 17 20 26 33 37 31 23 17 14 11 9 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 5 nan
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nan 7 7 7 8 8 8 7 7 7 7 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 8 8 7 7 6 6 7 8 8 8 8 8 7 7 7 7 7 8 8 8 7 7 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 7 7 7 8 9 9 8 8 8 6 3 2 4 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 7 7 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 nan
nan 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 7 7 6 6 6 7 8 8 9 8 8 8 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 5 4 5 6 6 7 8 8 9 8 8 7 6 6 6 6 6 6 7 7 6 6 7 7 7 7 7 7 7 8 7 7 6 6 6 6 6 6 7 7 7 8 nan
nan 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 8 8 8 7 7 7 6 6 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 9 8 8 8 7 7 7 7 8 8 8 8 8 9 9 8 7 7 6 6 6 8 11 12 11 9 8 6 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 7 7 6 6 6 6 6 6 7 7 7 7 8 nan
nan 8 8 9 9 9 8 7 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 7 7 8 8 9 9 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 8 8 8 7 7 7 7 7 7 7 7 8 9 9 8 8 7 7 6 7 7 7 8 7 7 8 8 8 7 7 8 8 7 6 7 9 12 13 11 8 6 4 5 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 7 7 6 6 5 6 6 6 7 7 8 8 8 nan
nan 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 10 10 10 10 9 8 8 8 8 9 9 8 8 8 8 8 7 7 7 8 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 7 7 7 8 8 8 8 8 8 6 7 7 8 8 8 8 9 11 11 9 6 3 3 5 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 7 7 6 6 5 5 6 6 7 7 8 8 8 8 nan
nan 7 7 7 8 8 8 7 7 7 7 7 8 7 7 8 8 8 7 7 7 9 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 8 8 8 8 8 8 9 10 11 11 11 10 9 9 9 10 10 10 9 8 7 7 7 8 8 8 8 8 7 7 6 7 7 7 7 8 8 8 9 8 7 7 7 8 8 8 8 8 8 8 7 6 6 7 8 8 8 9 9 9 9 7 4 1 3 5 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 7 6 6 5 5 6 6 7 7 8 8 8 8 8 nan
nan 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 8 8 8 8 9 10 10 8 7 6 6 6 6 7 8 9 9 8 9 10 11 11 11 10 10 10 10 11 11 11 10 9 7 7 7 7 7 7 8 8 8 7 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 7 7 8 8 9 9 9 8 8 7 5 4 5 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 7 7 6 5 5 5 6 7 7 8 8 8 8 7 7 nan
nan 7 7 8 8 8 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 6 6 6 8 10 10 9 7 6 5 6 6 7 8 8 9 9 10 11 12 11 10 10 10 11 11 12 12 11 10 9 8 7 7 7 7 7 8 9 8 7 7 6 6 6 6 6 7 7 8 8 8 8 8 8 8 9 9 9 9 9 7 6 7 7 7 8 8 8 9 9 8 8 8 7 7 8 7 6 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 5 5 5 6 6 7 7 8 8 8 7 7 7 nan
nan 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 8 9 9 10 9 8 7 7 7 7 6 7 6 6 7 8 10 10 9 7 6 6 6 6 7 8 9 10 11 12 11 10 9 9 9 11 12 13 13 13 12 10 9 8 7 7 7 8 8 8 8 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 9 9 9 9 9 8 6 6 7 7 8 8 8 9 9 9 9 8 8 8 9 8 8 7 8 8 8 8 8 8 7 8 8 8 8 7 7 6 5 5 5 6 6 7 7 8 8 7 7 7 7 6 nan
nan 8 7 7 6 6 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 7 6 7 8 10 10 8 7 6 6 7 7 9 10 11 11 11 10 9 8 8 10 11 13 14 14 13 12 12 11 10 9 8 8 8 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 9 9 9 8 7 6 6 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 10 10 8 7 6 5 5 5 6 6 7 7 7 7 7 7 7 6 6 6 nan
nan 8 7 6 6 6 7 7 7 8 8 9 9 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 7 6 6 7 8 9 8 7 7 7 7 8 10 11 11 11 10 9 8 7 8 10 12 13 14 13 12 11 11 10 10 10 9 8 8 7 6 6 6 7 7 7 7 7 6 6 7 7 7 6 6 6 7 8 8 8 7 6 6 6 7 7 8 8 8 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 9 11 13 15 16 15 12 9 6 5 5 5 6 6 7 7 8 7 7 7 7 6 6 6 5 nan
nan 7 7 6 6 7 7 7 8 8 8 8 8 8 8 9 8 8 7 7 7 7 7 7 8 9 10 9 9 8 7 7 7 8 8 8 8 7 7 7 8 10 11 11 10 9 8 7 7 8 9 11 13 13 12 11 10 10 9 9 9 9 8 8 7 6 6 7 7 8 8 7 7 7 7 7 7 7 6 5 6 6 7 7 7 6 6 6 7 8 8 8 8 9 9 9 8 7 6 7 7 7 7 7 7 7 8 8 9 10 12 15 17 17 15 10 6 3 5 5 6 7 7 8 8 7 7 7 6 6 6 6 5 5 nan
nan 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 10 10 9 9 8 8 8 9 9 8 7 7 6 8 10 11 11 10 9 8 8 8 9 10 10 11 10 10 10 10 9 8 8 8 8 8 8 8 7 7 7 8 9 9 8 7 7 7 7 8 8 7 6 6 7 6 6 6 6 6 7 8 8 8 9 8 9 9 8 7 6 6 7 7 7 7 7 7 8 9 9 9 9 10 12 13 11 7 1 -3 0 4 6 7 7 8 8 8 7 7 6 6 6 6 5 5 5 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 9 9 9 9 9 9 8 7 6 7 8 10 10 10 10 10 9 9 10 10 10 9 8 9 10 10 10 9 8 8 9 9 9 9 8 7 7 8 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 9 9 9 9 8 7 6 6 7 7 7 7 7 7 8 8 9 9 8 8 8 9 8 5 -1 -7 -6 0 5 7 8 8 8 7 7 7 6 6 6 5 5 5 5 5 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 10 10 10 9 8 7 7 7 7 8 8 9 10 11 11 11 11 10 9 8 7 8 9 10 10 10 9 8 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 7 6 6 7 7 7 8 8 8 9 9 8 8 7 7 6 7 7 7 8 7 7 8 8 8 8 8 8 8 8 8 6 2 -5 -7 -2 4 8 9 9 8 8 7 7 6 6 5 5 5 5 5 5 5 nan
nan 9 9 9 9 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 9 10 11 11 10 9 9 8 8 8 7 6 6 7 8 9 10 12 12 11 10 9 8 8 8 8 9 10 10 9 7 6 5 5 5 5 6 8 9 9 8 8 8 8 8 8 8 9 9 10 9 8 7 7 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 7 7 8 8 7 5 -0 -4 -2 5 11 12 11 9 8 7 7 6 6 5 5 5 5 5 5 5 6 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 7 7 7 8 8 8 8 8 10 12 11 10 8 8 8 8 8 7 6 6 7 8 8 9 10 11 11 10 10 9 9 9 9 9 9 9 7 4 3 2 3 4 6 8 10 10 10 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 8 8 8 7 7 8 8 8 7 7 7 8 8 7 4 1 1 7 15 19 17 13 11 10 8 7 6 5 5 5 5 5 5 5 6 6 nan
nan 9 9 9 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 9 10 11 10 9 7 7 7 8 9 8 8 8 8 8 7 8 8 9 9 10 10 11 11 11 10 9 9 8 6 4 3 4 5 7 9 11 11 11 10 10 10 9 9 9 9 9 9 8 7 7 8 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 7 7 7 7 7 7 6 6 10 16 21 21 17 14 12 11 9 7 5 5 4 5 5 5 5 6 6 6 nan
nan 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 7 7 8 7 7 7 7 7 7 7 8 8 8 9 10 9 8 7 7 7 9 10 10 10 9 9 7 6 7 7 8 8 9 9 10 11 10 10 9 8 7 6 5 5 7 9 10 11 10 9 9 9 9 10 10 10 10 9 9 9 8 7 8 9 9 8 8 8 8 8 7 7 8 9 10 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 10 12 15 16 15 13 12 11 10 7 5 4 4 4 5 5 5 6 6 6 6 nan
nan 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 9 8 8 8 8 7 6 6 7 7 7 7 8 9 9 8 7 8 10 11 11 10 10 8 6 6 7 8 8 8 7 9 9 9 9 8 7 7 6 6 6 7 9 10 10 10 8 7 7 8 9 9 10 10 9 9 9 9 9 9 8 8 8 7 6 7 7 8 8 8 8 9 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 8 7 7 8 8 8 9 10 10 10 8 8 9 8 6 3 2 3 4 5 5 5 6 6 6 6 6 nan
nan 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 6 6 7 6 6 7 7 8 8 8 8 9 10 11 11 10 9 8 7 7 8 8 8 6 6 8 9 9 8 8 7 7 6 6 6 7 9 9 10 8 7 7 7 8 8 9 9 10 9 8 8 9 10 9 9 8 7 6 6 6 6 7 7 7 8 8 9 9 9 10 10 10 9 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 8 6 4 2 1 1 -1 -3 -2 2 4 5 5 6 6 6 6 6 6 nan
nan 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 7 5 6 7 9 9 9 8 8 8 7 6 6 7 8 9 9 8 7 7 8 8 8 9 10 10 9 8 8 9 10 10 10 9 8 8 7 7 7 7 7 7 7 8 8 9 9 10 10 10 9 9 8 9 8 8 7 7 7 8 8 9 9 9 9 9 9 6 2 -3 -5 -6 -6 -7 -8 -4 1 4 5 6 6 5 5 5 6 6 nan
nan 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 9 8 8 7 7 7 7 7 7 7 7 8 9 9 9 7 7 7 7 8 8 8 8 8 7 7 8 9 9 9 8 7 6 7 8 8 8 8 8 8 9 8 7 6 6 6 7 7 7 6 7 7 8 8 9 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 8 8 9 9 9 10 9 9 9 9 9 8 8 7 7 8 9 9 9 8 8 8 8 4 0 -3 -4 -4 -3 -5 -4 1 4 5 6 5 5 5 5 5 6 6 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 7 7 7 7 7 7 8 9 10 10 10 8 7 7 7 8 8 8 8 8 7 7 7 8 9 10 9 9 8 8 8 8 8 8 7 8 8 9 9 8 6 6 5 6 6 6 6 6 7 7 7 8 9 8 8 9 10 11 10 10 9 10 10 9 10 10 10 11 10 9 9 8 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 8 7 5 4 4 5 7 6 4 5 5 6 6 5 5 5 5 5 6 6 6 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 8 8 8 8 8 8 8 9 10 10 9 8 7 7 7 7 8 8 8 8 8 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 6 5 5 6 6 6 6 6 6 6 6 7 8 8 10 11 11 10 9 8 8 9 9 9 10 11 11 11 11 10 9 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 7 8 9 10 12 13 11 8 7 6 5 5 5 5 5 5 6 6 6 7 nan
nan 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 8 7 7 7 7 7 8 7 7 8 8 7 7 7 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 10 9 8 7 6 6 7 7 6 5 4 4 5 6 7 9 10 10 9 8 7 7 8 8 9 9 10 11 11 11 11 11 10 10 9 8 8 9 9 9 9 8 8 8 9 9 9 9 8 8 7 7 8 9 9 8 9 9 10 11 10 7 4 4 5 5 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
15 13 14 16 18 21 22 22 23 43 54 55 69 101 141 178 201 216 218 216 239 269 289 293 290 312 369 413 400 365 303 259 231 213 199 187 169 141 109 89 85 75 85 105 137 172 176 138 82 39 22 21 22 18 14 15 13 10 8 10 14 20 24 25 18 15 10 10 13 17 20 21 23 24 24 24 23 21 17 15 14 16 24 37 58 115 229 385 579 885 976 853 1010 1173 1082 856 825 1003 1168 1310 851 558 428 352 316 306 284 277 302 314 313 259 158 99 75 61 52 45 41 38 35 35 38 34 37 43 41 37 38 46 59 68 70 71 86
16 15 16 18 21 27 30 30 32 48 57 55 63 94 147 217 259 271 246 294 310 331 354 372 412 498 611 687 678 633 527 441 384 361 350 323 284 256 226 195 168 145 150 164 172 162 125 74 36 24 22 23 20 15 10 7 5 3 2 3 9 18 18 20 16 14 14 15 17 19 20 17 15 16 21 26 28 24 16 11 10 14 26 50 95 185 347 575 891 1112 879 572 570 650 619 581 736 919 952 1033 735 631 534 416 345 329 302 257 262 292 327 290 172 127 110 98 86 76 67 61 58 61 66 63 58 54 50 51 56 65 76 86 93 89 105
16 15 17 23 29 35 38 38 39 45 52 52 54 81 127 201 236 246 228 276 300 310 351 422 519 665 807 844 767 703 606 488 389 324 290 272 257 251 238 232 215 188 182 177 155 117 74 40 25 23 21 19 9 5 3 1 0 0 0 0 6 18 13 14 15 16 17 18 19 19 17 15 13 15 19 27 31 24 11 6 8 16 37 84 175 326 606 930 1242 1137 686 387 385 494 592 791 1105 1030 882 776 761 778 697 535 402 341 287 229 221 260 314 273 218 202 193 179 162 149 137 124 117 116 114 110 103 89 74 70 74 83 95 110 122 120 124
16 17 22 31 38 43 44 43 42 44 51 59 71 95 138 186 221 237 249 285 300 296 316 364 442 574 675 628 496 427 358 285 221 171 138 120 119 139 132 145 157 153 144 123 88 57 36 25 23 18 10 5 1 0 0 0 0 0 0 0 2 13 9 8 11 13 15 15 15 15 16 17 17 17 20 23 28 18 6 4 8 20 58 145 293 525 1093 1375 1404 1000 513 305 391 528 572 655 834 900 920 955 1034 1039 918 730 541 399 313 269 285 330 364 351 342 350 342 320 298 278 259 235 222 216 203 189 179 161 129 104 100 104 113 131 144 150 155
18 22 29 36 42 46 47 46 43 44 53 83 138 168 221 266 269 244 233 230 220 205 198 199 206 213 239 235 180 141 116 101 90 77 65 59 58 59 59 56 66 72 62 41 23 17 16 14 12 6 1 0 0 0 0 0 0 0 0 0 0 2 2 4 3 5 9 12 14 16 17 19 18 20 22 25 21 10 3 3 10 29 85 209 406 979 1451 1435 1090 680 390 305 393 429 424 469 595 731 829 894 945 961 919 787 599 471 397 383 414 457 510 559 582 572 553 527 500 477 464 434 408 381 345 310 284 254 201 159 146 149 151 157 164 170 181
21 26 33 39 46 46 46 44 41 41 60 118 193 218 224 201 156 133 123 109 88 78 83 87 84 80 71 63 54 50 47 44 43 42 38 35 32 29 28 26 27 21 12 5 1 4 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 6 9 13 16 17 16 16 20 21 22 15 5 0 3 13 43 102 230 392 825 1070 928 622 428 363 335 366 354 346 366 411 467 509 554 613 679 743 773 644 568 487 461 487 525 568 646 742 735 695 675 666 661 680 711 690 614 550 498 453 410 329 281 251 235 218 206 205 209 219
19 24 33 40 47 46 43 41 40 40 55 99 147 154 130 99 76 60 47 40 38 35 32 31 34 36 31 27 23 23 24 23 23 22 18 16 15 11 12 9 6 2 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 5 7 12 14 15 13 15 20 20 17 9 2 0 3 18 50 104 195 279 324 395 403 355 336 333 307 299 314 334 323 317 305 297 316 354 386 439 582 538 499 435 399 408 428 444 475 523 578 586 587 606 624 657 713 755 725 690 665 646 615 554 487 432 385 343 311 295 284 274
19 26 34 42 45 43 39 39 40 41 48 65 78 75 62 47 31 19 13 10 7 3 2 5 7 6 5 6 6 6 6 6 7 7 4 2 1 0 1 1 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 4 5 11 12 13 11 13 19 19 12 4 1 0 4 23 51 84 138 188 222 239 240 240 233 220 221 214 222 229 235 233 223 215 216 211 193 218 242 239 237 235 233 235 247 267 283 294 322 353 375 395 423 466 516 555 597 636 667 702 711 706 707 679 623 564 509 465 423 372
21 32 39 43 43 39 35 35 36 36 41 47 46 41 32 19 7 1 0 0 1 2 3 2 0 0 0 0 0 0 0 0 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 1 4 5 3 3 6 9 10 11 11 10 10 10 7 1 0 0 5 23 46 62 102 147 181 199 197 190 177 166 167 165 162 158 164 179 192 200 196 177 148 122 103 98 95 111 136 144 147 149 149 145 155 179 199 213 237 278 326 386 445 492 564 638 696 730 750 768 770 738 699 662 629 570
21 34 44 45 40 32 26 24 25 26 31 33 31 24 13 5 1 0 0 0 0 2 6 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 2 2 3 5 4 3 2 5 6 7 9 10 7 4 1 1 0 0 0 5 19 37 54 87 129 164 179 176 182 172 158 141 133 134 141 150 162 183 198 190 178 169 157 140 123 116 123 134 137 130 118 110 98 94 101 107 110 115 125 138 173 237 301 376 463 564 660 726 765 776 793 809 793 798 760
22 37 47 43 32 22 16 13 13 18 22 21 17 10 4 1 0 0 0 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 4 7 6 6 4 3 3 4 4 3 5 5 3 1 0 0 0 0 1 5 14 28 47 75 107 132 146 147 158 146 128 113 107 108 112 116 124 134 141 150 158 167 180 178 157 144 135 127 126 119 114 115 110 99 92 89 85 79 74 69 68 90 128 170 219 293 391 475 577 661 717 789 833 869 879
29 44 47 38 24 15 9 6 7 13 15 11 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 1 3 9 16 14 8 4 2 3 3 2 1 1 1 0 0 0 0 0 0 0 4 10 20 36 61 84 96 108 111 114 109 100 92 85 79 73 79 84 91 101 114 126 131 129 123 120 113 101 95 102 98 101 108 109 102 97 91 86 87 85 81 78 74 77 84 96 118 156 186 232 334 428 513 591 659 717
36 43 40 29 18 8 3 2 4 8 7 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 3 10 18 24 22 10 3 2 3 2 1 0 0 0 0 0 0 0 0 0 0 2 6 12 24 47 69 79 84 87 88 86 81 74 66 58 55 54 58 66 75 81 86 92 97 100 97 94 84 79 83 82 85 89 88 86 84 81 81 84 90 90 91 93 94 93 94 95 98 99 103 124 170 218 258 290 331
35 36 30 22 13 4 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 16 27 33 17 3 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 2 7 14 30 48 60 67 69 70 69 65 59 52 45 43 43 41 43 47 50 56 61 65 69 78 76 76 74 71 70 72 72 74 76 74 72 69 67 68 69 74 83 92 95 99 105 111 109 108 108 112 119 128 132 145
27 24 20 16 10 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 1 3 10 22 37 42 10 2 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2 8 20 30 38 46 49 52 53 50 46 40 35 32 30 28 28 29 31 35 40 46 48 52 55 60 61 60 61 63 66 67 66 65 62 60 59 60 61 61 64 67 71 75 83 90 94 98 103 106 105 110 116 123
21 14 11 11 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 0 0 0 0 2 7 15 24 30 22 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 7 13 22 30 36 39 39 38 35 34 30 25 23 20 19 19 21 25 29 32 35 39 42 46 48 50 52 52 53 54 55 55 56 57 57 57 56 54 52 47 48 49 53 58 62 66 72 78 79 82 92 103
26 16 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 7 7 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 10 17 22 25 26 27 25 24 22 19 15 12 11 11 12 17 21 25 29 31 32 35 38 39 43 43 42 47 48 50 52 53 53 52 48 45 43 40 38 37 37 37 34 35 40 44 47 52 55 60
27 15 4 2 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 0 0 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 1 3 6 8 11 14 15 16 18 17 17 15 12 10 7 5 4 5 7 10 13 19 24 26 27 31 34 36 38 37 40 42 42 43 44 45 45 43 40 37 35 33 30 27 24 20 21 23 23 27 35 38 38
13 9 10 15 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 9 11 11 12 12 10 9 7 6 5 4 3 3 3 4 5 6 10 15 16 20 24 27 31 35 37 37 38 38 38 38 39 39 37 35 32 30 27 23 21 18 17 18 17 19 24 28 31
9 22 42 50 26 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 6 7 8 8 9 9 8 7 5 4 4 4 4 3 3 4 4 4 5 7 8 10 10 13 17 21 25 28 31 30 33 32 34 37 35 32 30 28 25 22 21 19 18 15 14 14 15 17 20
25 42 54 49 21 14 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 0 1 3 4 5 6 7 7 7 7 6 4 3 3 3 3 3 3 3 3 3 4 5 6 6 6 7 9 10 11 14 19 18 21 21 24 27 27 26 26 25 23 21 20 20 18 15 12 11 10 11 12
32 35 19 13 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 6 6 5 5 3 2 2 2 2 2 1 2 2 3 3 4 4 5 5 5 6 6 6 7 10 11 12 14 16 19 21 21 21 19 20 19 18 18 16 13 11 8 7 7 7
18 20 12 14 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 4 2 2 2 2 1 1 0 0 0 0 1 2 2 3 4 3 4 4 4 5 5 6 8 8 9 11 11 12 14 14 13 13 12 12 11 10 9 9 7 5 4 4
7 9 10 14 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 4 4 4 5 5 5 6 7 8 8 9 8 7 8 8 8 7 7 7 6 5 3 3
5 6 5 7 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 2 3 3 3 3 3 3 4 6 5 4 4 5 5 5 4 5 5 4 4 3 3
4 4 2 3 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3
1 1 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 3 3 3 3
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 2 2 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3
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