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 4 6 7 8 8 11 17 22 25 25 21 16 10 5 2 1 3 6 11 15 14 10 5 2 3 5 7 6 5 5 5 6 5 5 4 4 4 4 5 5 5 6 6 6 7 7 6 6 6 8 9 9 8 8 8 7 7 8 8 7 5 5 5 6 7 7 7 7 7 6 6 6 6 7 6 6 6 7 6 3 1 3 5 7 7 7 7 6 6 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 6 6 7 7 7 6 6 5 5 nan
nan 4 5 6 5 6 10 15 20 24 25 23 19 13 8 4 3 4 8 15 23 24 18 9 3 2 5 7 6 5 4 5 5 5 4 4 4 5 5 5 5 6 6 7 7 7 7 6 6 7 9 9 8 7 7 6 5 4 5 5 7 8 8 8 8 7 7 7 8 7 6 6 5 5 6 7 7 6 8 7 4 2 2 5 7 7 7 7 7 6 6 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 3 3 3 3 3 4 4 5 5 5 6 7 7 7 6 5 5 6 7 8 9 10 10 9 8 6 5 nan
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nan 7 7 7 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 5 6 7 8 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 7 6 6 7 8 8 7 7 8 8 9 8 8 7 7 7 6 6 7 8 7 7 7 7 8 9 8 8 8 8 8 8 7 8 8 9 9 9 9 9 10 10 10 9 9 7 1 -5 -6 -3 1 3 4 4 4 4 5 6 6 6 6 6 6 7 8 8 9 10 10 10 10 9 9 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 nan
nan 8 8 8 9 10 10 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 9 9 9 9 8 7 7 7 7 7 7 7 8 9 9 7 6 5 6 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 9 9 8 7 7 7 8 8 8 8 8 7 7 7 7 7 8 9 9 9 9 9 10 10 10 10 8 5 -1 -6 -7 -4 -1 1 2 2 2 3 5 6 6 6 6 6 7 7 8 9 9 10 10 9 9 9 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 nan
nan 8 8 9 10 11 10 7 6 6 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 6 6 5 6 8 10 10 9 8 8 7 7 7 6 6 7 8 9 9 7 5 5 6 6 6 6 7 8 9 8 7 7 7 7 7 7 8 9 9 9 9 8 7 6 6 7 7 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 5 -0 -4 -6 -5 -3 -2 -2 -1 -0 2 4 6 6 6 6 6 7 7 8 9 9 9 9 9 9 8 8 8 7 7 7 6 6 6 6 6 6 6 6 7 7 nan
nan 9 9 10 11 11 10 7 5 5 6 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 7 6 5 5 8 9 10 10 10 9 8 7 7 6 6 7 7 8 8 6 5 5 6 5 6 6 7 8 8 7 7 7 7 7 8 8 8 9 9 9 9 8 7 6 6 6 7 7 8 8 8 9 8 7 7 8 8 8 8 8 8 8 8 8 7 8 9 6 3 -1 -3 -3 -2 -3 -4 -4 -2 2 5 6 6 6 6 7 7 8 9 9 9 9 9 8 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 7 nan
nan 9 9 10 11 11 10 7 4 4 5 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 8 7 6 5 6 8 9 11 12 11 10 8 7 7 7 7 8 8 7 5 4 5 5 5 5 7 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 7 6 6 6 7 8 8 8 9 8 7 7 8 8 8 8 8 8 8 8 7 7 8 9 9 7 6 4 3 3 2 -2 -5 -6 -2 3 5 6 6 6 7 7 8 8 9 9 9 9 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 nan
nan 8 8 9 10 12 11 7 4 4 5 7 7 7 7 7 7 7 6 6 6 7 8 8 9 9 9 8 7 6 6 7 8 10 11 12 11 10 9 9 8 8 8 8 6 5 5 4 4 5 6 7 8 8 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 8 8 7 4 -3 -7 -5 -1 3 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 nan
nan 8 8 9 10 12 10 7 4 5 6 7 7 7 7 7 7 6 6 5 6 7 8 9 9 9 9 7 6 6 7 7 7 8 8 9 10 10 10 10 9 9 9 8 7 6 5 5 5 5 6 7 8 8 7 7 8 9 10 10 10 10 9 9 8 8 7 7 8 8 9 9 8 8 8 7 7 7 7 6 6 6 7 8 8 8 8 8 7 7 8 8 8 8 8 9 10 9 8 8 6 2 -3 -5 -5 -2 2 4 6 6 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 7 nan
nan 8 9 10 11 11 9 6 5 5 6 7 8 8 8 7 7 6 6 6 7 7 8 8 8 8 7 5 5 5 6 7 7 6 6 6 7 9 10 10 10 10 9 8 6 6 5 5 6 6 7 7 7 7 7 7 7 9 10 10 10 10 10 9 8 7 7 7 7 8 9 9 9 9 8 8 7 8 7 6 6 6 6 7 7 8 9 8 7 7 8 8 8 8 8 9 10 9 8 7 7 5 2 -1 -4 -5 -3 0 3 5 6 6 7 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 nan
nan 9 10 11 11 9 7 6 5 5 6 7 8 8 8 7 7 7 7 8 8 7 7 8 7 6 5 4 4 5 6 7 7 7 5 5 6 8 8 9 10 10 10 8 5 5 5 5 6 7 7 8 7 7 6 6 6 7 8 9 9 9 9 9 8 7 7 7 8 8 9 10 10 9 8 8 8 8 8 7 6 6 6 6 7 8 9 9 8 7 7 8 8 8 8 9 9 9 8 7 8 8 7 4 0 -3 -4 -4 -1 2 4 5 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 nan
nan 9 10 10 9 7 7 6 5 5 6 7 7 7 8 7 8 8 9 9 8 8 8 8 7 7 5 5 6 6 7 7 7 7 5 5 6 7 7 8 9 10 10 7 5 4 4 5 6 7 7 8 8 8 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 9 9 10 10 9 8 8 8 8 8 7 7 6 6 6 7 8 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 8 7 5 3 -0 -3 -3 -2 1 3 5 5 5 5 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 9 9 9 8 7 7 7 6 6 6 7 7 7 8 8 9 10 10 9 8 9 9 8 8 8 7 7 8 7 7 7 7 6 5 6 7 7 6 7 8 10 9 7 5 4 4 5 5 5 7 8 9 9 9 8 7 7 6 6 6 7 7 6 7 8 9 9 8 9 10 10 10 9 9 8 8 8 8 8 7 6 6 6 7 8 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 6 5 2 -1 -2 -1 2 4 4 3 3 3 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 8 8 8 8 8 8 7 6 6 6 7 7 8 9 10 11 10 9 9 9 10 9 8 7 6 7 7 7 6 6 6 6 7 8 9 8 7 7 8 9 8 6 5 5 6 6 5 5 5 6 7 8 9 9 9 8 7 6 5 6 6 5 5 8 9 9 8 8 9 10 10 9 9 8 8 8 8 7 7 6 6 6 8 9 8 8 8 8 8 8 8 9 9 8 7 6 7 8 8 8 8 8 8 8 7 6 4 2 2 3 5 5 3 1 0 3 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 8 7 8 8 8 8 7 6 6 6 7 7 8 10 10 10 9 8 8 9 9 8 6 5 4 5 6 6 5 5 6 7 9 10 11 9 8 7 8 8 8 7 6 6 7 7 6 6 6 6 6 6 7 8 9 8 7 6 5 5 4 3 5 7 8 8 8 8 9 9 9 9 9 9 8 7 7 6 6 6 6 8 9 9 9 8 7 7 7 8 8 9 9 8 7 7 7 8 8 9 8 8 8 9 9 8 7 7 6 6 6 6 4 0 -1 3 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 7 7 7 8 9 9 8 7 6 6 6 7 8 8 9 8 7 7 8 9 8 7 6 4 3 5 6 6 5 5 5 7 9 10 11 10 9 8 8 8 8 7 7 7 8 8 7 8 8 8 7 5 5 6 6 6 6 6 5 4 3 3 4 6 8 8 8 9 9 9 9 9 9 9 9 7 6 6 5 6 8 9 10 10 9 8 6 6 6 7 7 8 7 7 8 7 8 8 8 8 8 9 9 10 10 9 8 8 8 8 7 5 3 1 2 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 6 6 7 8 8 9 9 9 6 5 6 7 7 7 7 6 7 7 7 7 7 7 6 4 3 5 7 7 7 6 5 5 6 8 10 9 8 7 8 8 8 8 8 8 8 7 7 8 9 9 7 6 5 6 6 5 6 6 6 5 4 3 4 5 6 8 9 10 10 9 9 9 9 10 9 7 6 5 6 8 10 11 11 10 9 8 6 6 6 6 6 6 6 6 7 7 7 7 8 8 9 9 10 10 10 9 9 9 9 9 8 4 1 0 3 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 5 5 6 7 8 9 11 10 7 5 5 6 7 7 7 7 8 7 6 6 6 7 5 3 3 6 7 8 8 7 5 4 5 6 7 7 6 6 7 8 8 8 9 9 8 7 6 7 8 9 8 8 8 8 8 7 7 8 8 7 5 3 3 4 5 7 8 9 10 10 9 9 10 10 9 7 5 6 7 10 11 12 11 10 8 7 7 6 6 6 6 6 6 7 7 7 7 7 8 8 9 9 10 10 10 10 9 9 9 8 7 4 0 1 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 5 4 5 7 9 10 11 10 7 5 4 5 6 7 8 9 9 8 6 6 7 7 5 3 4 5 7 7 7 7 6 5 5 6 7 6 6 6 7 7 8 8 9 9 9 8 6 5 6 7 9 10 11 10 9 8 8 9 10 9 6 4 3 4 5 6 7 7 8 8 9 10 10 10 8 7 7 7 9 10 11 11 10 9 7 6 6 6 6 6 6 7 7 8 7 7 7 7 8 8 8 9 9 10 10 10 10 9 9 8 6 3 1 2 5 5 4 2 3 4 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 5 5 6 8 9 10 10 9 7 5 4 4 6 7 8 9 9 8 8 7 7 6 5 5 5 5 6 7 6 6 6 6 6 7 7 6 6 6 6 6 7 8 9 9 9 9 8 7 6 7 8 10 10 10 9 8 8 9 10 10 9 7 5 5 5 6 6 5 5 6 8 10 10 9 8 8 8 9 9 10 10 10 9 8 7 6 7 7 7 6 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 11 11 10 9 8 6 3 3 4 6 5 3 1 0 2 4 5 6 6 6 6 6 6 6 6 6 6 nan
nan 7 6 7 9 10 10 9 9 8 6 5 4 5 6 7 8 8 9 9 9 8 8 7 6 6 5 6 6 6 6 5 5 6 7 8 8 6 6 6 6 5 5 7 9 10 10 9 9 9 9 8 7 7 8 8 8 7 7 9 10 11 10 9 7 5 5 5 5 5 5 6 7 8 9 8 8 8 9 9 9 9 9 9 8 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 11 11 11 10 9 8 7 7 7 7 6 5 2 -0 -1 0 3 5 6 6 6 6 6 6 6 7 7 nan
nan 7 7 8 10 10 10 9 8 7 5 4 4 5 6 8 8 8 9 11 10 9 8 7 7 6 6 6 6 6 5 4 5 7 9 10 8 7 6 6 5 5 5 7 9 11 11 11 11 11 11 10 8 7 7 8 8 9 9 10 11 11 10 9 6 4 4 5 6 6 6 7 7 7 7 7 7 7 8 9 10 10 10 10 8 7 7 8 8 8 8 7 7 7 6 6 6 6 7 7 8 8 8 8 9 9 9 10 11 11 11 10 9 9 10 9 9 9 8 6 2 -2 -3 0 5 6 6 6 6 6 6 7 7 7 nan
nan 7 8 9 10 10 10 9 8 6 4 4 4 5 6 8 8 9 10 11 11 10 8 7 7 6 5 5 5 5 4 4 5 8 11 12 11 8 7 6 5 5 5 7 9 10 10 11 12 12 11 11 10 10 9 10 10 11 12 12 11 10 10 8 6 4 4 4 5 6 7 7 7 7 6 6 6 7 8 10 10 10 10 9 8 8 8 8 8 8 8 8 8 7 6 6 5 5 6 7 8 8 8 8 9 9 9 10 10 11 11 10 9 9 10 10 10 10 10 8 4 -1 -4 -1 5 6 6 6 6 6 7 7 7 7 nan
nan 8 8 8 9 10 10 10 8 6 4 3 4 5 7 8 9 10 11 11 11 10 8 7 6 5 5 5 5 5 5 4 6 8 11 12 12 10 8 6 5 5 5 6 7 8 8 9 10 11 11 12 12 13 13 13 13 14 14 12 10 9 9 9 7 6 5 4 4 5 6 6 6 6 6 5 5 7 9 10 10 10 9 8 8 7 7 8 8 8 8 8 8 7 6 6 5 6 6 7 8 8 8 8 9 9 9 10 10 11 10 9 8 8 9 9 7 6 7 7 6 1 -2 1 5 6 6 6 6 7 7 7 7 7 nan
nan 8 8 8 8 9 10 10 8 6 5 4 4 5 7 8 9 10 11 11 9 9 8 8 6 5 5 5 5 5 6 7 7 8 9 10 10 9 8 6 6 5 5 5 6 6 6 7 8 9 11 11 12 13 14 15 15 15 14 12 10 9 9 10 10 9 7 6 4 4 5 5 6 6 6 6 6 8 9 10 10 9 8 7 7 6 6 6 6 7 7 8 8 7 6 6 6 6 7 7 8 8 8 8 8 9 9 9 10 9 9 8 8 7 7 4 1 -1 1 4 5 3 3 5 6 7 7 7 7 7 7 7 7 7 nan
nan 8 7 7 7 9 10 10 9 8 6 4 4 5 7 9 10 10 10 9 7 7 8 8 7 6 6 6 6 6 7 8 9 9 8 8 8 7 7 7 7 6 5 5 5 5 5 5 6 8 9 9 10 11 12 13 14 15 15 14 12 11 11 11 12 11 10 8 6 5 4 4 5 6 7 7 7 8 10 10 10 9 7 6 6 5 5 5 5 5 6 7 7 7 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 8 7 7 7 7 5 2 -1 -3 -2 1 3 5 6 7 7 7 7 7 7 7 7 7 8 8 nan
nan 8 7 6 6 8 9 10 10 9 7 5 4 5 7 9 10 11 10 8 5 6 8 9 8 7 7 7 7 7 7 8 9 9 8 7 7 7 7 8 8 7 6 5 5 5 5 5 5 6 7 7 7 7 7 9 11 13 14 15 14 12 12 12 13 13 12 10 9 7 6 5 5 5 7 7 8 8 9 10 10 9 8 7 6 6 6 6 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 6 4 2 1 1 0 1 3 5 7 7 7 7 7 7 7 8 8 8 8 nan
nan 8 6 5 5 6 8 9 9 9 7 6 4 4 6 9 11 12 11 8 7 7 8 8 8 8 7 6 5 6 6 8 9 9 7 6 6 7 9 9 9 8 6 5 6 6 7 6 6 6 7 7 7 7 6 6 7 9 10 11 11 11 11 11 13 13 13 12 11 9 8 6 6 6 6 6 7 8 9 10 10 9 9 8 8 7 7 7 6 6 6 7 6 6 6 7 7 7 7 6 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 7 6 4 0 -2 -1 3 6 7 7 7 7 7 8 8 8 8 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
129 197 307 427 489 494 477 551 682 748 723 584 386 233 159 156 202 347 526 546 498 369 216 108 58 55 88 110 77 31 32 59 86 71 55 53 49 40 36 45 66 81 89 74 49 29 39 29 11 20 37 25 4 5 2 1 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 2 8 17 24 28 31 30 27 26 24 22 22 21 20 20 19 18 19 19 20 21 20 21 23 23 24 28 28 26 24 19 20 20 23 29 36 47 74 125 183 225 224 248 272 301 298 259 194 137 98 71 68 83
228 369 520 571 477 389 442 662 860 943 910 782 586 381 246 224 259 408 524 634 665 576 378 177 70 64 116 176 133 44 40 159 261 269 218 146 84 69 83 90 74 52 33 21 21 19 22 20 11 10 14 6 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 6 11 9 6 10 17 22 24 26 26 24 22 20 20 18 17 17 17 18 19 20 21 20 22 24 24 27 28 23 20 17 15 17 18 20 25 31 39 56 88 121 145 142 142 150 158 175 197 197 185 142 81 51 58
347 579 679 565 414 424 628 787 887 966 1011 968 814 576 348 319 366 452 613 909 1149 1082 733 342 132 122 205 379 257 101 81 266 361 262 127 71 51 33 22 11 22 31 42 52 46 38 40 34 10 6 10 3 2 2 1 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 14 34 25 2 5 9 14 20 24 26 25 22 19 16 15 14 17 17 18 17 18 19 19 22 26 28 36 40 39 36 27 22 22 19 21 26 32 37 45 61 73 70 69 77 89 105 119 138 187 234 200 125 84 87
454 681 651 500 442 545 665 693 779 975 1158 1203 1095 845 522 315 269 466 795 1117 1354 1289 857 352 138 170 346 565 350 196 159 225 237 150 69 55 40 25 34 41 45 55 68 69 52 43 44 29 6 3 4 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 9 26 24 0 4 4 9 15 21 25 25 23 19 16 16 17 17 17 17 14 16 21 23 29 40 49 57 87 127 155 127 83 59 32 27 33 46 83 107 94 70 48 45 58 78 104 138 188 239 299 275 209 163 182
510 722 661 537 569 577 532 564 767 1085 1323 1353 1259 1111 906 699 610 731 931 1060 1145 1026 624 257 187 289 525 520 336 258 252 227 160 108 92 62 47 36 35 36 42 51 55 46 30 38 58 27 4 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 4 15 6 0 3 5 7 12 19 24 28 34 26 21 19 16 17 17 16 15 21 29 37 54 81 105 144 241 363 420 379 307 237 124 75 60 113 256 331 205 91 51 43 61 111 197 296 397 416 419 399 358 326 335
551 784 692 551 552 489 455 552 811 1127 1296 1237 1146 1158 1137 989 849 799 811 883 980 906 620 414 391 468 484 391 272 231 207 175 132 96 90 58 41 32 29 29 37 39 35 28 23 41 64 23 3 3 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 2 6 1 0 2 4 7 9 14 21 26 34 31 29 27 23 21 19 18 19 27 41 64 95 140 220 355 582 746 843 998 1038 708 489 302 189 268 469 569 342 99 62 59 81 145 269 430 559 597 610 565 492 440 384
538 760 698 505 456 439 459 556 771 1027 1148 1080 982 968 941 844 759 688 665 735 822 788 638 503 446 423 351 325 256 225 197 155 116 92 73 47 38 33 31 35 45 39 27 19 26 48 50 7 2 2 2 1 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 2 27 29 6 0 1 3 5 8 13 20 23 25 26 27 28 24 20 20 19 20 26 43 84 129 207 302 444 636 732 782 1014 1307 1268 993 725 513 451 424 294 127 81 70 69 80 127 172 241 478 756 828 671 480 393 300
439 564 584 465 431 454 474 518 662 885 1030 986 838 729 626 559 503 542 595 624 630 575 495 418 365 348 275 286 246 212 184 140 105 85 61 49 38 32 32 33 40 36 19 8 12 27 27 3 2 2 1 1 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 31 45 14 0 1 3 5 7 12 19 22 22 22 22 23 23 22 23 24 21 25 43 82 131 200 280 357 452 477 365 456 656 897 919 829 661 473 299 176 121 89 64 51 48 65 69 108 249 447 556 468 327 299 289
466 468 437 437 472 490 462 446 542 755 919 875 716 574 448 379 368 422 494 511 460 421 430 379 324 286 233 224 187 144 112 78 56 43 35 54 54 38 32 27 24 20 10 1 1 3 6 2 1 0 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 0 0 0 0 0 12 40 22 1 0 3 5 6 9 17 19 19 21 22 23 27 33 37 35 29 34 60 104 172 255 346 434 468 387 203 160 206 304 392 438 385 264 166 110 93 71 45 31 24 24 21 19 25 74 156 175 175 213 267
454 382 375 443 541 529 428 373 456 656 792 748 623 491 378 317 321 395 496 528 451 379 463 382 313 258 221 181 142 106 70 43 25 27 21 13 47 47 31 22 14 7 2 0 0 0 0 0 0 0 0 0 0 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 78 89 31 1 2 4 6 7 9 15 21 25 26 25 33 48 54 54 50 54 75 132 241 390 517 599 608 499 289 144 102 84 77 90 114 112 86 67 51 45 38 31 26 22 17 13 11 14 23 41 59 79 102 97
338 302 362 474 611 566 408 349 431 602 700 660 557 449 353 287 268 316 408 478 474 352 375 334 262 199 155 133 118 94 66 51 43 44 31 27 38 35 19 6 1 0 0 0 0 0 0 0 0 0 0 0 0 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 31 118 108 29 2 4 6 9 15 25 34 41 45 46 47 57 69 67 65 91 144 243 378 568 758 843 795 574 368 181 102 77 63 54 49 47 44 46 44 41 39 35 32 32 30 26 21 18 18 21 23 26 32 36 36
288 282 367 536 667 587 417 375 457 600 681 655 571 455 333 249 232 296 391 428 394 311 292 260 203 148 122 114 100 78 64 54 47 39 27 20 15 10 4 1 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 0 0 0 0 0 0 0 0 1 1 1 0 8 77 134 92 14 8 9 15 27 44 59 66 71 75 76 73 81 108 138 167 269 464 708 895 941 823 682 532 321 204 120 84 69 61 56 50 44 38 40 40 42 42 40 39 39 38 36 33 29 31 32 34 37 38 37 39
292 304 414 615 699 590 443 421 515 650 712 702 632 521 426 398 440 504 516 440 338 273 241 205 159 118 103 98 77 56 53 49 32 22 10 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 2 5 8 8 7 8 45 129 153 65 17 30 47 69 91 116 139 146 155 176 163 137 186 327 471 612 777 978 1128 1108 898 559 352 249 171 126 97 83 75 69 64 58 51 43 38 38 39 42 43 42 41 42 42 42 40 44 53 63 67 64 58 49
292 333 466 634 680 582 470 460 570 708 771 791 810 777 708 631 563 504 434 353 294 235 189 158 133 103 78 61 49 42 37 29 17 11 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 3 9 14 25 35 34 44 135 237 183 94 90 146 192 227 255 282 358 498 627 680 747 753 738 907 1057 1166 1204 1146 971 702 422 280 205 163 130 107 95 91 87 78 75 68 59 50 43 38 37 40 43 44 47 50 51 57 67 80 98 113 117 106 88 67
279 352 478 574 593 546 487 482 608 733 841 937 1022 994 861 687 531 417 339 299 268 202 144 115 95 69 46 37 41 40 29 13 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 1 5 12 31 67 100 119 126 186 329 403 340 345 402 456 495 508 495 473 580 903 1241 1340 1285 1304 1454 1319 1144 1003 834 629 442 291 167 156 145 128 112 100 96 98 96 88 85 76 64 57 53 51 51 53 57 60 64 68 81 105 138 169 186 189 175 147 120 85
268 340 446 511 524 513 479 503 646 759 901 1020 1032 896 701 540 425 345 293 252 187 127 88 66 48 32 25 33 51 35 18 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 3 9 21 56 127 212 280 344 446 556 577 681 816 880 805 683 586 509 459 527 746 857 747 685 604 574 568 520 417 298 207 172 161 154 139 123 110 101 96 98 100 98 92 85 76 67 61 59 58 60 66 72 77 84 92 121 173 225 246 230 203 165 128 96 71
273 346 425 451 463 487 467 509 645 769 895 957 866 665 486 393 334 272 201 149 115 84 55 34 22 19 22 37 81 35 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 0 0 4 13 28 54 94 192 385 600 727 786 872 990 1025 965 776 563 436 365 317 313 360 302 199 148 112 106 102 120 140 141 136 128 120 114 111 100 90 88 91 97 94 85 79 73 69 67 64 61 63 69 73 79 85 88 95 120 168 223 238 179 123 99 84 73 67
261 301 320 330 373 431 447 487 601 715 814 821 681 489 362 302 258 198 139 110 86 56 32 20 24 36 40 50 61 19 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 1 5 17 29 44 81 215 469 732 855 863 851 816 758 603 442 379 350 307 244 185 168 131 95 86 85 83 83 90 103 106 105 96 85 76 76 76 75 80 85 87 81 75 72 66 64 64 64 65 69 74 76 78 78 76 79 88 104 121 139 110 77 68 68 68 65
238 256 273 293 327 371 402 443 535 619 689 664 549 405 291 239 217 178 135 100 65 40 26 28 49 72 57 49 21 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 7 14 23 37 69 178 399 607 614 567 494 444 431 409 378 348 317 272 202 164 140 124 121 121 113 103 104 95 99 95 90 86 79 73 69 69 71 72 70 69 68 60 58 62 65 66 67 69 67 70 71 69 66 64 62 65 69 73 75 70 62 62 64 64 62
192 214 240 267 296 320 344 389 460 521 568 557 476 351 242 205 200 176 134 86 51 35 34 57 99 107 60 33 7 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 4 8 15 27 48 104 211 313 272 266 270 273 286 294 289 270 233 209 173 156 142 130 121 112 104 100 99 100 100 99 96 90 83 77 72 68 65 60 55 54 56 57 62 65 64 65 61 62 61 60 58 58 57 56 53 55 58 58 57 55 54 55 56 56 55
153 184 217 240 247 247 272 318 381 444 503 515 443 313 212 199 203 177 128 82 57 55 74 117 160 139 71 24 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 2 7 17 28 46 87 136 155 136 152 181 197 199 191 172 165 157 149 143 138 133 126 121 115 107 102 101 101 103 103 99 92 86 80 75 67 57 51 49 47 47 51 58 62 55 54 50 54 56 57 56 53 48 46 47 48 51 53 51 50 49 51 51 50 50
138 162 184 192 182 178 208 262 328 415 498 507 405 257 172 194 202 168 127 97 84 100 154 211 197 161 81 22 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 3 11 23 33 51 77 85 86 88 104 125 134 127 122 121 125 123 122 121 121 118 113 109 106 102 99 101 102 104 104 101 99 93 81 73 65 52 45 42 41 42 46 52 56 52 48 48 53 53 49 45 43 40 37 38 39 42 45 46 44 43 46 43 43 41
114 135 146 144 132 141 179 242 327 438 528 505 349 179 130 164 165 147 126 109 96 105 165 236 197 153 68 17 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 4 14 30 38 64 71 67 60 66 82 99 106 101 99 103 105 107 105 102 101 98 92 90 89 89 90 92 95 97 96 93 90 84 75 59 51 44 38 36 37 39 42 46 48 50 47 47 47 45 41 37 34 30 28 28 32 34 34 33 32 32 36 34 33 34
90 111 112 106 103 123 174 250 364 497 568 494 299 140 99 111 109 103 103 113 100 82 127 177 146 94 36 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 0 0 0 0 5 19 37 48 65 71 66 59 65 79 90 96 94 92 91 92 94 91 87 83 76 72 69 66 68 71 73 75 76 74 71 66 60 54 47 42 36 33 33 35 38 39 40 44 47 44 40 37 33 31 27 24 22 22 23 24 24 23 22 19 20 21 20 18 18
63 82 80 77 90 120 176 264 414 558 593 476 269 109 68 68 60 73 116 164 142 77 97 126 92 43 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 0 0 0 0 0 0 0 5 21 39 52 67 68 64 61 64 73 80 83 85 84 80 78 78 75 70 65 59 57 57 58 56 55 54 53 50 49 46 40 37 35 33 31 29 29 31 31 34 36 34 35 37 37 32 29 26 23 19 18 18 16 13 12 12 10 13 12 10 9 7 4 4
37 48 50 61 87 122 196 307 451 571 584 453 240 79 33 19 16 23 130 230 215 141 117 115 58 17 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 1 5 20 38 56 65 65 62 60 61 66 71 69 69 71 70 68 65 61 56 53 50 47 46 45 44 42 40 37 34 32 29 27 26 25 25 27 28 29 29 29 26 26 26 25 25 26 22 15 16 11 7 8 8 6 3 2 2 1 2 1 2 2 1 0 0
18 24 25 34 60 122 221 340 461 542 531 404 222 109 39 13 14 20 57 147 219 180 127 71 20 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 3 19 31 60 69 65 61 59 59 60 62 58 59 61 59 55 52 51 49 47 45 41 37 34 31 28 26 26 24 22 21 20 19 20 21 23 24 23 23 21 15 12 15 17 16 14 13 6 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
9 12 10 18 55 140 251 365 451 476 421 309 213 164 82 45 54 74 99 120 118 106 64 16 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 1 14 26 43 54 58 57 56 55 55 54 52 51 51 50 49 48 47 44 39 36 31 25 21 17 15 14 14 13 14 13 14 15 15 15 15 14 11 13 11 9 9 10 9 7 5 6 4 2 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0
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