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 3 2 3 5 8 9 9 9 12 16 21 25 27 27 24 19 12 7 4 5 8 13 17 18 15 8 3 3 5 6 5 5 5 6 6 6 5 5 5 5 5 5 5 6 5 5 4 5 5 5 5 6 7 7 7 7 8 9 12 13 12 8 6 7 7 7 6 6 5 5 5 5 5 5 5 7 8 6 3 2 2 4 6 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 7 6 5 5 5 5 5 5 nan
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nan 8 8 8 9 10 10 8 6 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 9 8 8 7 7 7 6 6 7 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 6 6 6 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 7 2 -3 -6 -3 0 2 4 4 4 4 4 4 5 6 6 6 6 7 7 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 6 7 7 7 6 6 6 nan
nan 8 9 9 9 10 9 7 6 6 6 7 7 7 7 6 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 8 8 7 7 7 6 7 7 7 8 8 9 9 9 8 7 7 8 7 7 7 8 8 8 8 7 7 6 6 6 7 7 8 9 8 8 7 7 7 7 7 8 7 7 7 7 7 8 8 9 9 9 9 9 10 11 10 10 8 5 0 -5 -6 -4 -1 1 2 2 2 2 3 4 5 5 5 6 6 7 7 8 8 9 10 10 10 9 9 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 nan
nan 9 9 10 10 9 8 7 5 6 6 7 7 7 7 6 7 7 7 8 8 8 8 7 7 6 6 6 7 7 8 9 9 9 8 8 7 7 6 6 6 7 7 8 8 8 8 7 7 7 6 6 7 8 8 8 7 7 7 7 7 7 7 8 9 9 9 8 7 6 6 7 7 7 8 8 8 8 7 7 8 8 8 8 9 9 9 10 9 9 8 8 5 0 -3 -5 -4 -2 -1 -1 -1 -1 1 3 4 5 5 5 6 6 7 7 8 9 10 10 10 9 9 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 nan
nan 9 10 10 10 9 8 6 5 5 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 9 9 10 10 9 8 8 7 6 6 6 7 7 8 8 8 7 7 6 6 6 7 8 8 7 7 7 7 7 8 8 8 9 9 9 8 7 6 5 5 6 6 7 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 6 3 -0 -2 -2 -1 -2 -3 -4 -3 1 3 4 5 5 5 6 6 7 8 9 10 10 10 9 9 8 7 6 6 6 6 6 6 6 6 6 6 7 7 7 nan
nan 10 10 10 9 8 7 6 5 5 6 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 7 7 8 9 11 12 11 10 9 8 7 7 6 7 7 7 7 7 7 6 5 5 6 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 7 6 5 5 6 6 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 7 6 4 4 4 3 -1 -4 -5 -2 2 4 4 5 5 5 6 7 8 9 9 10 10 9 8 8 7 6 6 6 6 6 6 6 6 6 6 6 7 7 nan
nan 9 9 9 8 8 7 6 4 5 6 7 7 7 7 7 7 7 6 6 7 8 9 9 9 10 10 9 8 7 7 7 8 10 11 11 11 10 10 9 8 7 7 7 7 7 7 6 5 5 6 7 8 7 7 7 7 8 8 9 9 9 9 8 8 7 7 7 6 6 6 7 7 8 8 8 9 9 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 4 -2 -6 -5 -1 2 3 4 5 5 6 6 7 8 9 10 10 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 nan
nan 9 9 9 9 8 7 5 5 5 6 7 7 7 8 8 7 6 6 6 7 9 10 10 9 9 9 7 7 7 7 7 7 7 8 8 9 10 10 10 9 7 7 7 7 7 7 6 5 5 6 7 7 7 7 7 7 8 9 10 9 9 9 8 8 7 7 7 7 7 7 8 8 9 9 9 8 8 7 7 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 8 8 7 2 -2 -4 -4 -2 1 3 4 5 5 6 7 8 9 9 9 8 8 7 7 6 6 6 6 5 5 6 6 6 6 6 6 7 nan
nan 9 10 10 9 7 6 5 5 6 6 7 8 8 8 8 7 6 6 7 8 9 9 8 7 6 5 5 5 6 6 7 7 6 6 6 7 9 10 10 9 8 8 8 7 7 7 6 6 7 7 7 7 7 6 6 7 8 9 10 9 9 9 8 8 7 7 7 7 7 8 8 9 9 9 9 8 8 8 7 6 6 7 7 7 8 8 8 7 7 7 7 7 7 7 8 9 8 8 7 7 6 3 -0 -4 -4 -3 -0 2 4 5 6 7 8 9 9 9 8 7 7 7 6 6 6 6 6 5 5 5 6 6 6 6 6 nan
nan 9 10 10 8 6 5 5 5 6 7 7 8 8 8 7 7 7 7 9 10 9 8 6 5 4 4 4 4 5 6 6 7 6 6 5 6 8 9 9 10 9 8 8 7 6 6 7 7 7 8 8 8 7 6 6 6 7 7 8 8 9 9 9 8 7 7 7 7 7 8 9 9 9 9 9 8 8 8 7 6 6 6 6 7 8 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 8 7 4 0 -2 -4 -3 -1 2 3 5 6 7 8 8 8 7 7 7 7 6 6 6 6 6 5 5 5 6 6 6 6 6 nan
nan 9 9 9 7 5 4 5 6 6 7 7 8 8 7 7 7 9 10 11 10 8 7 5 5 5 5 5 6 6 6 6 7 6 5 5 6 7 7 8 9 9 9 8 7 6 6 6 7 7 8 9 9 8 8 7 6 6 6 6 7 7 8 8 8 8 8 7 7 8 8 9 9 9 9 9 8 8 8 7 6 6 6 6 6 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 5 3 -0 -3 -4 -2 1 3 5 6 6 7 6 6 7 7 7 6 6 6 6 6 5 5 5 5 6 6 6 6 nan
nan 8 8 8 6 5 5 6 6 6 7 7 7 8 8 8 9 11 12 10 9 7 7 6 7 7 6 6 7 6 6 7 7 6 5 5 6 6 7 7 8 9 9 8 7 6 6 6 6 7 8 9 9 9 9 8 7 6 6 6 6 6 7 6 7 8 9 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 6 6 6 7 7 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 6 4 1 -1 -2 -1 2 5 5 4 3 4 5 6 7 6 6 6 6 6 6 6 5 5 5 6 6 6 7 nan
nan 8 8 7 6 6 6 7 6 6 6 7 7 8 9 10 11 12 11 10 8 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 9 9 8 8 7 7 6 6 6 7 8 8 9 9 9 9 8 7 6 6 6 6 5 6 8 9 9 8 7 8 9 8 8 9 9 8 7 7 7 6 6 6 7 7 7 7 7 7 6 7 7 7 8 8 9 8 7 7 8 8 8 8 8 7 7 7 6 3 2 1 3 5 5 3 -0 -1 2 6 7 6 6 6 6 6 6 6 5 5 6 6 6 6 7 nan
nan 8 7 7 7 7 7 7 7 6 6 7 7 8 9 10 11 11 10 8 7 6 7 7 6 4 4 5 5 5 6 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 7 6 6 7 7 7 7 8 8 9 8 7 6 6 6 5 4 6 8 9 9 8 7 8 8 8 8 8 9 8 6 6 5 6 6 7 7 8 8 7 7 6 6 6 7 8 9 9 9 7 7 7 7 8 8 8 7 7 8 8 8 7 6 5 5 5 5 1 -4 -5 0 5 6 6 6 6 6 6 6 5 5 5 6 6 6 6 7 nan
nan 8 6 6 7 7 7 7 7 7 7 7 8 8 9 9 10 9 8 7 6 6 6 6 5 4 4 5 6 6 6 6 7 8 8 9 9 9 9 10 10 9 9 8 8 9 9 8 8 8 8 8 7 6 6 7 7 7 7 7 6 5 4 4 6 7 8 9 8 8 7 7 7 7 8 9 8 7 6 5 6 7 8 9 9 9 8 7 6 6 6 7 8 8 8 8 7 7 7 7 7 8 7 7 8 9 9 8 8 8 7 7 6 3 -2 -6 -3 2 5 6 6 6 6 6 6 5 5 5 6 6 6 6 6 7 nan
nan 7 6 6 7 7 7 7 7 8 7 7 7 8 8 8 8 8 7 6 5 6 6 5 5 4 5 6 7 7 6 6 6 6 7 7 8 8 8 9 10 10 9 9 8 9 8 8 8 8 9 9 8 7 7 7 6 6 6 7 7 5 4 4 5 6 6 7 8 9 8 8 7 7 7 8 8 7 6 5 6 9 10 11 10 10 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 6 1 -5 -6 -1 4 5 6 6 6 6 6 5 5 5 5 6 6 6 6 6 7 nan
nan 7 6 6 6 6 7 8 9 8 8 7 7 7 7 7 7 7 7 6 5 5 5 5 5 5 6 7 7 7 7 7 6 6 6 6 6 6 6 7 9 10 10 9 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 8 8 6 4 4 4 5 5 6 8 9 9 9 8 7 8 8 8 7 6 5 7 10 11 11 10 9 8 8 8 7 7 7 7 7 6 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 6 1 -5 -4 1 5 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 nan
nan 7 6 5 5 7 8 9 9 9 8 7 7 7 7 7 8 8 8 6 5 4 4 5 5 6 6 7 7 7 7 7 7 6 6 6 6 5 5 6 8 10 10 10 9 8 8 8 7 7 7 8 9 10 11 10 9 8 8 9 9 7 5 4 5 5 5 6 6 7 7 8 8 9 9 8 7 7 6 6 8 10 11 11 10 8 7 7 7 7 7 6 7 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 6 2 -1 1 6 8 6 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 nan
nan 8 6 5 7 8 9 9 9 8 8 7 6 6 6 7 8 8 8 7 6 5 5 6 6 6 7 6 6 6 7 7 6 6 6 7 7 6 5 6 6 8 9 10 10 10 10 9 8 8 8 7 8 9 11 10 9 8 7 9 10 9 7 6 6 6 6 6 6 5 6 6 8 10 10 8 7 6 7 8 9 10 10 10 9 8 7 7 7 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 8 7 4 4 7 10 9 6 4 3 2 3 3 4 5 5 5 6 6 6 6 6 6 nan
nan 8 7 7 9 9 9 9 8 7 7 7 6 6 6 7 8 8 8 8 7 6 6 6 7 7 6 6 6 7 7 6 5 5 7 8 8 8 7 5 5 5 6 8 11 12 11 10 10 10 10 8 7 7 8 9 9 8 8 10 10 10 9 8 7 6 6 6 6 6 6 6 8 9 9 7 6 6 7 9 10 10 10 9 9 8 7 7 8 9 8 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 7 7 9 9 8 7 5 3 1 -0 1 3 5 5 6 6 6 6 6 6 6 nan
nan 8 8 8 9 9 9 8 7 6 6 6 5 6 7 7 8 8 9 9 8 8 7 7 7 7 6 6 6 7 7 6 5 6 8 9 9 8 7 6 5 4 5 8 10 12 12 12 12 12 11 9 8 7 8 8 9 9 11 11 11 10 9 7 6 6 6 6 7 7 7 7 7 8 7 7 6 5 7 9 10 9 9 9 9 8 7 8 9 10 9 8 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 8 4 0 -3 -1 3 5 6 6 6 6 6 6 6 6 nan
nan 8 8 8 9 9 8 7 6 5 4 5 5 6 7 7 8 8 9 9 9 8 7 7 7 6 5 5 6 6 6 6 6 8 9 10 9 8 7 6 5 5 5 7 9 10 11 11 12 12 11 10 10 10 10 10 11 11 12 11 10 9 8 6 5 5 6 6 7 8 8 8 7 7 7 6 5 6 7 9 9 8 8 9 9 8 8 9 9 9 9 8 7 7 7 7 7 8 8 8 9 9 9 9 9 10 10 10 11 10 10 9 9 9 8 8 8 8 8 7 4 -0 -5 -2 3 5 6 6 6 6 6 6 6 6 nan
nan 8 8 8 9 9 9 8 6 5 4 4 5 6 7 8 8 9 10 10 9 8 7 6 6 5 5 5 6 6 7 7 8 9 10 10 9 9 8 7 6 5 5 7 8 8 9 9 10 10 11 11 12 12 13 13 13 13 12 11 9 9 8 7 6 6 6 6 6 7 8 8 8 7 6 6 5 7 8 9 8 7 7 8 8 8 8 8 8 8 9 9 8 7 7 7 6 7 7 8 9 9 9 9 10 10 10 11 12 12 11 10 9 9 9 8 5 3 3 3 3 -1 -3 1 4 6 6 6 6 6 6 6 6 7 nan
nan 8 8 8 8 9 8 8 7 5 4 4 4 6 8 9 9 10 10 10 8 7 7 7 6 5 5 5 6 6 8 8 9 9 9 8 8 8 8 7 7 6 6 6 7 7 7 7 8 9 10 11 12 13 14 14 14 14 13 11 10 9 9 10 9 8 7 6 6 6 7 7 8 8 7 6 6 8 9 9 8 7 6 7 7 7 6 6 7 7 8 9 8 8 7 7 7 7 7 8 9 9 10 10 10 10 10 11 12 12 11 10 9 9 9 7 2 -2 -2 0 2 1 1 4 6 6 6 6 6 6 6 6 7 7 nan
nan 8 8 7 8 8 8 8 7 6 5 5 4 6 8 9 10 11 10 8 6 6 7 7 6 6 6 6 6 7 9 9 9 9 8 7 7 7 7 7 7 6 6 6 6 6 6 6 7 8 9 9 10 10 12 13 13 14 14 14 13 12 11 11 11 10 9 7 6 5 6 6 7 8 8 7 7 8 9 9 8 7 7 7 7 6 5 5 5 6 7 8 8 8 8 7 7 7 7 8 9 9 9 10 10 10 11 12 12 11 10 9 8 8 8 5 2 -0 -1 0 2 3 4 6 6 6 6 6 6 6 6 7 7 7 nan
nan 9 7 7 7 8 9 9 8 7 6 5 4 5 7 9 11 11 10 7 6 6 8 8 7 6 6 6 8 9 9 9 9 9 7 6 7 7 8 8 8 7 6 6 6 6 5 5 6 7 8 7 7 7 8 8 10 12 13 14 14 13 12 12 12 12 11 9 7 6 5 5 7 8 8 8 8 9 9 9 9 8 8 8 7 6 6 5 5 6 6 7 7 8 8 7 7 7 8 8 9 9 8 8 9 10 11 11 11 10 9 9 9 8 8 7 6 5 3 2 0 1 3 5 6 6 6 6 6 6 7 7 7 7 nan
nan 9 7 6 7 8 9 9 8 7 6 4 4 5 7 9 11 12 10 8 7 7 8 8 7 6 6 6 7 8 8 9 9 8 7 6 7 8 9 10 9 7 6 6 7 7 6 5 5 6 7 7 7 7 6 6 7 8 10 11 11 11 11 11 12 13 13 11 9 7 5 5 6 7 7 8 8 8 9 9 9 9 9 9 8 8 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 9 9 9 10 9 9 9 9 9 8 7 1 -3 -3 0 4 6 6 6 6 7 7 7 7 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
61 58 70 120 222 391 557 561 445 440 560 723 871 945 876 688 432 238 217 231 358 543 621 577 435 248 111 46 53 90 129 60 30 24 36 54 67 66 69 104 143 140 130 121 92 53 28 31 50 53 38 25 8 2 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 5 3 1 5 11 14 20 28 35 39 37 41 43 45 46 44 39 34 31 28 26 25 28 33 34 34 33 30 29 31 32 31 30 26 29 30 33 42 60 87 122 156 164 168 189 214 237 250 214 151 117 119 134 171 220 271
72 73 106 235 405 589 643 487 345 403 588 761 913 1087 1182 1053 795 582 457 414 527 755 972 1076 983 671 273 53 47 121 187 112 65 93 172 239 278 326 373 354 249 197 177 148 96 54 26 18 23 20 12 11 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 0 0 3 5 5 9 15 23 31 30 36 40 42 41 36 28 23 24 20 21 22 27 31 37 37 32 29 27 27 28 28 25 22 22 22 27 37 53 74 109 178 190 206 226 266 326 353 304 218 160 127 106 103 112 152
96 97 153 393 545 566 474 342 340 495 622 637 713 989 1335 1356 1111 939 806 769 874 1054 1248 1400 1387 1042 418 111 141 292 347 273 247 336 459 479 374 278 200 114 106 99 69 45 35 25 14 7 7 6 5 11 4 2 2 1 1 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 1 2 6 12 18 21 28 33 35 35 32 27 29 25 21 24 24 27 30 31 30 29 31 32 28 31 46 35 26 24 23 26 32 42 54 73 125 159 188 213 263 358 414 371 310 256 183 140 122 111 120
120 127 215 473 566 538 452 413 510 648 599 428 476 782 1230 1366 1248 1183 1121 1079 1121 1168 1208 1289 1333 1082 560 359 421 570 564 451 383 365 311 213 150 92 64 35 30 27 20 14 11 9 6 3 5 6 4 5 3 2 2 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 1 5 9 14 20 25 29 30 29 25 28 23 21 23 26 29 31 32 32 36 40 40 41 54 81 73 56 47 37 31 34 44 63 83 104 115 120 136 183 265 347 415 506 483 324 236 191 167 170
134 178 359 546 576 577 569 616 743 776 595 419 528 774 1034 1156 1194 1122 1091 1024 935 867 882 1015 1157 1085 834 675 645 611 516 415 325 255 192 113 96 59 35 27 21 17 14 12 10 6 3 4 12 14 5 2 2 2 2 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 1 3 6 9 13 19 25 27 28 28 26 22 22 25 29 33 38 43 47 53 60 66 82 104 124 131 131 109 68 46 45 73 140 195 174 117 76 70 103 166 259 418 729 769 583 415 312 279 301
177 288 486 609 560 584 635 736 834 793 624 529 638 851 1032 1086 977 828 833 770 624 567 642 783 865 826 735 632 541 404 282 264 248 185 180 120 82 64 42 25 14 10 8 7 7 4 4 18 44 33 8 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 4 6 9 14 21 25 30 32 29 26 26 29 35 45 58 71 68 90 109 128 158 190 212 217 205 197 144 93 77 163 466 569 377 156 84 64 74 110 169 280 576 794 831 672 470 414 443
197 230 279 423 468 572 625 720 812 772 642 589 713 941 1115 1126 1054 864 717 599 519 530 605 663 634 557 471 396 366 297 235 230 221 185 159 102 80 58 24 10 6 6 5 4 5 3 3 21 56 14 3 2 2 2 2 2 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 1 3 4 5 8 12 18 21 26 30 28 26 28 32 36 46 66 105 142 159 163 191 274 338 372 471 470 426 335 236 157 219 496 514 270 136 97 81 81 115 179 266 507 828 980 810 530 423 381
219 259 269 295 386 474 566 719 834 764 584 527 653 854 976 1009 956 826 666 542 493 514 576 552 459 408 375 327 320 292 263 259 241 189 128 92 54 34 13 7 6 5 5 5 4 2 2 11 17 5 2 2 2 2 2 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 2 4 6 9 13 17 20 22 24 27 28 31 35 36 41 52 78 104 122 137 167 234 294 357 551 748 733 634 527 364 302 350 296 161 126 122 109 112 166 236 380 657 902 880 615 416 307 216
323 452 411 346 338 408 573 777 853 703 488 451 553 666 705 701 622 534 509 490 441 478 505 433 387 340 342 324 301 264 222 189 154 111 75 81 29 14 8 6 4 4 4 4 2 5 2 5 3 2 2 2 1 1 1 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 1 0 0 0 0 0 2 4 7 9 12 15 18 20 23 27 31 34 38 39 43 48 55 63 70 86 113 149 194 254 372 478 590 742 783 707 600 462 320 251 189 175 159 176 229 271 319 471 636 550 365 306 279 264
496 553 449 305 277 411 658 851 823 616 456 463 521 541 499 439 375 371 431 462 439 463 466 389 375 344 338 306 257 206 157 114 80 58 30 17 28 21 9 4 3 3 3 2 2 21 9 2 1 1 1 1 1 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 17 10 2 0 0 0 0 2 4 6 7 10 14 17 21 25 31 35 37 41 44 48 52 56 63 74 94 130 168 205 242 288 341 409 546 679 748 745 639 386 326 269 238 221 225 245 258 262 271 293 313 367 396 404 418
476 448 345 235 274 493 762 868 744 568 496 533 567 549 488 417 375 349 317 361 522 557 476 374 322 294 282 248 198 156 118 83 54 33 14 7 5 5 4 3 2 2 2 0 0 11 5 1 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 29 25 8 0 0 0 1 2 4 7 8 12 17 24 29 34 39 42 46 52 55 58 67 83 112 141 171 209 246 276 270 266 264 261 292 362 432 468 438 317 291 268 240 216 194 176 171 185 220 223 253 342 364 358 335
450 362 257 237 372 623 820 817 666 556 551 606 648 633 587 579 620 640 611 591 582 527 431 347 282 245 233 198 149 114 81 53 26 11 7 5 4 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 22 52 44 11 0 1 2 4 6 10 15 20 27 35 42 49 52 62 69 77 94 107 125 153 191 241 277 306 316 319 303 268 233 198 166 151 163 189 196 207 195 179 168 156 137 111 85 75 75 78 98 121 144 155 149 131
425 319 264 325 514 725 817 741 598 538 577 623 663 659 707 860 1020 1047 921 727 573 489 441 355 277 231 199 156 109 71 39 18 8 5 5 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 2 12 58 93 64 11 5 7 9 14 23 37 52 64 73 82 93 102 113 136 159 189 241 291 331 371 414 442 427 423 375 325 276 232 196 168 147 126 112 111 109 116 111 92 80 75 69 58 47 43 40 33 28 34 45 51 50 49
379 297 326 433 591 736 767 649 542 516 595 624 656 717 842 972 1001 897 735 598 520 487 455 342 258 208 158 104 61 37 15 6 5 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 3 10 38 84 97 54 15 12 23 37 57 86 123 155 169 172 185 212 228 257 324 406 508 595 628 632 651 671 561 433 378 317 260 217 184 161 149 139 123 110 100 95 86 77 72 66 59 53 51 50 45 42 38 35 34 36 38 39 39
338 306 376 498 621 719 728 578 532 533 607 658 730 817 886 882 788 655 544 473 415 393 322 233 166 128 92 48 23 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 2 6 12 30 64 83 66 45 42 52 83 128 176 225 271 309 353 401 433 471 542 590 662 729 782 800 756 640 515 435 390 308 253 213 184 166 156 147 134 130 124 113 107 101 94 88 79 73 59 58 60 61 57 55 53 49 46 47 51 54 60
333 327 418 547 647 705 689 548 539 558 604 666 759 847 863 767 599 460 393 351 269 213 142 97 76 60 37 16 13 12 16 19 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 1 6 15 30 66 102 97 80 93 124 162 213 275 311 334 353 376 442 567 743 668 765 837 792 695 605 518 428 337 259 199 183 171 156 144 138 136 135 132 124 122 119 109 107 110 105 100 103 106 74 74 73 71 72 72 68 63 64 72 84 95 109
341 368 448 525 590 649 618 522 517 545 582 630 712 779 775 679 514 355 286 240 188 147 112 81 53 29 12 10 29 18 18 13 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 1 4 11 29 67 126 169 169 171 223 252 320 354 345 318 292 288 304 339 380 522 475 422 356 318 310 271 209 166 156 147 141 134 123 117 116 116 115 116 112 109 108 109 107 106 104 102 110 108 112 89 83 80 81 91 100 101 100 102 116 141 161 189
318 331 361 402 467 540 522 457 457 481 528 567 604 650 673 609 447 277 213 190 158 121 84 49 26 20 17 23 31 16 11 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 7 23 59 136 239 303 341 318 363 326 305 289 256 226 212 214 227 231 212 224 197 164 150 140 132 123 112 106 109 112 107 105 104 104 106 105 103 100 96 96 98 102 102 94 85 82 73 70 74 70 67 68 72 85 99 126 136 150 182 232 273 308
258 273 304 346 396 435 415 374 387 420 470 506 551 630 669 556 353 201 167 162 142 105 63 32 29 46 37 30 24 13 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 0 0 0 0 1 13 38 98 210 323 371 418 369 325 261 219 189 166 162 174 186 184 173 154 137 125 121 120 113 104 102 99 95 98 101 99 96 98 100 100 97 93 87 90 91 86 83 80 78 76 70 62 62 62 60 59 62 72 91 120 138 157 192 239 288 327 352
189 220 259 301 334 339 311 285 315 371 445 522 619 699 649 438 220 126 126 135 126 97 63 42 46 61 50 37 36 15 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 6 23 54 108 189 248 249 280 245 195 169 159 145 126 133 147 150 145 140 132 120 113 114 113 109 106 104 101 97 95 94 95 95 96 98 95 90 84 76 70 66 65 67 68 69 69 70 69 64 63 64 65 68 76 89 102 127 156 195 233 255 262 261
148 185 228 260 266 253 243 246 300 375 477 606 740 779 598 297 108 68 82 99 108 101 76 54 58 56 57 65 46 17 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 9 26 52 86 105 107 114 142 149 150 146 133 124 116 115 118 119 122 125 126 122 114 111 109 109 108 108 105 101 96 93 92 93 93 95 90 86 78 67 58 55 58 61 64 64 68 71 68 63 63 67 69 72 74 84 99 117 136 156 170 172 167 154
116 155 193 217 214 205 224 269 339 441 570 702 804 781 504 189 81 46 46 60 91 109 87 51 52 42 54 64 46 28 11 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 9 29 49 66 63 60 71 96 124 139 131 113 108 104 98 96 98 104 110 111 108 105 104 105 106 106 106 105 103 101 99 96 90 90 89 84 79 71 60 54 49 52 57 61 64 68 68 64 63 65 67 69 74 75 85 94 100 109 116 112 109 111 114
93 126 154 173 180 192 232 314 423 550 675 784 843 763 464 231 113 52 30 35 79 113 83 35 31 28 38 33 43 44 21 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 16 33 55 58 54 52 61 84 107 109 98 92 93 90 84 81 80 82 84 84 83 86 89 94 95 95 96 97 97 96 96 97 89 86 81 76 73 66 57 54 49 49 52 55 60 63 61 60 61 64 68 69 74 75 76 77 79 87 91 84 84 91 95
68 98 116 134 154 182 242 339 482 630 735 770 711 543 376 284 178 76 21 24 98 151 80 35 33 43 47 36 26 16 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 4 19 37 56 62 60 59 64 75 85 76 71 77 80 78 74 70 66 65 65 66 65 66 66 74 79 81 83 84 85 83 83 84 82 78 73 70 68 60 51 46 47 47 47 50 56 59 59 59 62 65 67 66 64 63 63 64 63 63 66 66 67 70 71
41 64 77 97 129 169 247 365 517 652 718 688 556 373 295 307 239 138 62 48 143 252 199 167 144 126 94 47 13 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 4 19 48 71 70 66 66 67 68 69 64 63 71 75 74 68 62 57 55 55 60 63 66 66 65 65 64 63 66 67 65 66 65 63 63 62 59 58 52 44 43 44 45 44 47 52 55 53 53 57 58 56 53 49 47 47 46 44 44 45 46 46 47 47
20 31 41 59 88 139 254 403 542 631 645 566 417 304 357 364 310 245 183 159 212 304 316 287 221 166 97 34 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 0 4 22 52 62 65 67 67 67 66 64 62 67 74 73 66 61 57 55 55 57 59 60 63 64 61 56 51 47 50 49 48 47 47 48 50 50 48 46 42 38 38 41 42 41 40 44 49 47 44 43 41 39 36 32 28 29 30 31 31 31 31 30 29 28
6 10 16 28 57 134 270 417 523 564 540 456 320 244 294 370 356 321 299 276 251 239 207 147 96 68 34 10 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 2 17 45 56 59 62 65 66 67 65 68 72 72 68 64 60 58 58 58 60 58 56 57 58 56 52 48 45 43 41 40 43 44 43 43 39 36 34 34 33 32 33 35 33 28 29 31 32 30 27 25 23 20 15 14 14 16 19 19 18 20 20 18 17
2 4 6 15 55 154 288 406 468 470 430 358 247 203 257 284 273 245 220 196 163 134 67 26 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 0 0 0 0 0 1 16 31 40 46 53 58 64 66 66 67 65 63 63 62 61 60 59 58 57 54 51 50 50 51 44 41 38 36 33 32 32 33 33 31 28 26 26 25 23 22 22 23 22 18 19 19 18 15 14 13 10 7 4 4 2 2 4 3 4 9 9 6 6
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