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 8 9 8 6 5 4 3 3 2 2 2 2 2 2 2 2 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 9 11 14 16 16 14 9 4 0 1 3 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 4 2 1 1 2 3 5 5 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 nan
nan 8 8 7 5 4 3 3 2 2 2 2 2 2 1 1 2 2 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 9 9 11 12 14 14 12 9 6 2 1 3 5 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 3 1 1 2 4 5 6 6 6 7 7 7 7 7 8 8 8 8 7 7 6 6 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 nan
nan 7 7 6 5 4 3 3 3 2 2 2 1 1 0 0 1 2 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 10 12 14 14 12 9 6 3 2 3 5 6 7 6 6 5 5 5 5 5 6 6 5 5 6 6 6 6 6 6 4 2 1 1 3 4 5 6 6 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
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nan 8 7 7 7 7 7 7 6 7 7 7 7 7 8 8 8 8 8 8 8 7 6 6 5 6 7 7 7 7 7 7 7 7 8 7 7 8 9 9 9 8 8 7 7 6 7 9 9 9 9 8 8 8 9 9 9 9 9 9 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 7 7 6 6 6 6 6 6 4 2 0 1 2 3 3 4 5 5 5 4 3 2 3 3 4 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 nan
nan 8 8 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 6 5 5 6 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 7 6 7 8 9 9 9 8 8 8 9 9 9 8 8 9 9 8 7 7 6 7 7 7 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 4 3 3 3 3 4 6 7 7 7 5 4 2 2 2 3 4 4 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 nan
nan 8 8 9 10 9 9 8 7 6 6 7 7 7 7 7 7 7 8 8 8 9 8 7 7 6 6 7 7 7 7 7 7 7 7 8 8 8 8 9 9 8 8 7 6 7 9 9 9 8 8 8 8 9 9 9 8 8 8 9 9 8 7 7 7 7 7 6 6 7 7 7 7 7 8 9 9 8 7 7 7 7 8 8 7 7 6 6 7 7 7 6 6 6 5 4 4 7 9 10 9 8 6 4 3 2 2 2 3 4 4 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 9 10 nan
nan 8 9 10 9 9 8 7 6 6 6 7 7 7 7 7 7 7 7 8 9 9 9 9 8 7 7 7 8 8 7 7 6 7 7 8 8 8 9 9 9 8 8 7 7 8 9 9 9 8 8 8 9 10 9 8 8 7 8 8 9 9 8 7 7 6 6 6 7 8 7 7 7 7 9 9 9 8 7 7 7 7 8 8 7 7 6 7 7 7 6 5 7 7 6 5 6 9 11 12 10 8 6 4 3 3 2 2 2 2 3 4 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 nan
nan 9 9 8 8 7 7 7 6 6 7 7 7 7 7 7 7 7 7 8 8 9 10 10 9 9 8 8 9 9 8 7 7 7 7 8 8 9 9 9 9 9 8 8 8 9 9 9 9 8 8 9 9 9 9 8 8 8 8 9 9 9 9 8 7 6 6 7 8 9 8 7 7 7 8 9 9 9 8 7 7 8 8 8 8 7 6 7 8 6 5 5 6 7 7 7 8 9 10 10 9 7 5 4 4 5 4 2 2 2 2 3 4 4 5 5 5 6 6 7 7 7 7 7 7 7 7 7 8 9 9 10 10 10 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 8 9 10 10 10 9 8 8 9 9 10 9 8 7 7 8 9 9 8 9 9 9 9 9 10 10 10 9 9 8 9 9 10 9 8 8 8 7 8 9 10 10 9 8 7 6 6 7 8 9 9 8 7 7 8 9 9 9 8 7 6 7 8 8 8 7 7 8 8 6 6 6 7 7 7 8 9 9 9 8 7 6 5 5 6 7 6 4 2 2 2 2 3 3 4 5 5 6 6 7 7 8 7 7 7 7 7 8 8 9 9 10 10 10 nan
nan 7 7 7 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 9 10 9 8 7 7 7 8 9 10 9 8 7 7 8 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 9 8 8 7 7 8 9 10 10 9 8 7 6 6 6 8 9 10 9 8 8 8 8 9 9 8 6 6 7 8 8 8 9 9 9 8 7 7 7 7 7 7 8 9 9 8 7 7 6 6 8 9 8 7 6 4 3 2 2 2 2 3 4 5 6 7 7 8 8 8 7 7 7 7 8 8 9 10 10 10 10 nan
nan 8 8 9 8 7 7 7 8 9 9 9 9 9 8 8 8 8 9 8 7 7 8 8 8 7 7 6 6 6 7 9 10 9 8 7 8 8 9 9 9 10 10 10 10 10 9 9 9 10 11 11 10 9 8 7 7 8 9 10 10 9 9 8 7 6 6 6 8 9 10 10 9 8 8 9 9 9 8 6 5 5 7 8 9 10 10 9 8 7 7 7 7 7 7 8 8 8 8 7 7 7 8 9 9 9 8 8 7 5 4 3 2 2 2 3 4 5 6 7 8 8 8 7 7 7 8 8 9 9 10 10 10 10 nan
nan 8 8 8 7 6 6 7 8 9 9 8 9 8 8 7 8 9 10 10 9 8 8 8 8 7 7 7 6 4 5 7 9 10 10 9 8 8 9 9 9 9 10 11 10 10 9 9 10 11 11 11 10 9 8 8 8 8 9 9 9 9 9 8 7 6 6 7 8 9 10 10 9 9 9 9 9 9 8 6 5 5 6 8 9 10 10 9 8 7 7 7 7 7 7 8 8 8 8 7 7 8 8 9 9 9 10 10 9 8 6 5 4 4 3 3 3 4 6 7 7 8 8 8 7 7 8 8 9 9 10 10 10 10 nan
nan 8 7 6 5 5 5 6 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 7 6 5 4 5 7 9 11 9 8 8 9 9 10 10 11 11 10 9 9 10 10 11 12 11 10 10 9 8 8 8 9 9 9 8 8 7 6 6 7 8 8 9 9 9 9 9 9 9 9 9 8 7 6 6 7 8 9 9 9 8 8 7 7 7 7 7 7 8 9 8 7 7 7 7 8 8 8 9 10 11 10 10 9 8 8 8 7 5 4 4 4 5 7 8 8 8 8 8 8 8 9 9 10 10 10 9 nan
nan 8 7 6 5 5 6 7 7 8 8 7 7 7 7 8 7 7 7 8 8 9 9 10 11 11 10 9 8 6 4 4 4 6 9 9 8 8 9 10 10 11 11 10 9 9 9 9 10 11 11 11 11 10 10 9 9 9 9 9 8 7 6 4 4 7 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 9 9 8 8 8 7 7 7 7 7 7 8 8 8 7 6 6 6 6 7 7 7 7 8 9 10 10 11 12 12 13 12 10 7 4 2 3 5 6 7 8 8 8 8 8 9 9 9 9 9 9 nan
nan 9 8 7 7 7 7 8 8 8 8 7 7 7 8 8 7 7 7 7 7 8 9 10 11 12 12 11 9 8 6 4 4 5 6 7 7 8 9 10 10 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 6 3 1 3 6 9 10 9 9 9 9 9 8 8 9 8 7 7 7 8 9 10 9 8 7 7 7 7 7 7 7 7 8 8 8 7 5 5 5 6 6 6 6 6 7 8 9 9 10 11 13 13 14 13 11 7 3 1 1 3 5 7 8 8 8 8 9 9 9 9 9 9 9 nan
nan 9 8 8 8 8 8 8 8 8 8 8 7 7 8 8 7 7 7 7 7 7 8 8 9 11 12 12 11 9 8 6 5 5 5 6 7 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 11 12 11 10 7 3 -1 -1 2 6 9 10 9 8 9 9 8 8 8 9 8 6 6 6 8 10 10 10 8 7 7 6 6 6 7 7 8 8 8 7 5 4 4 5 6 6 6 6 7 8 9 9 9 9 9 10 11 10 9 6 3 0 -0 0 2 4 6 8 8 9 9 9 9 9 9 9 9 9 nan
nan 9 8 8 8 8 7 7 7 8 8 8 8 7 6 6 6 6 7 7 7 7 7 8 8 9 11 12 12 11 9 8 7 6 6 6 6 7 8 8 8 9 9 9 9 10 10 10 9 9 9 8 8 8 9 11 11 12 11 9 5 0 -2 -1 2 6 9 9 9 8 8 8 8 8 8 8 7 6 5 6 8 10 11 10 8 7 6 6 6 6 7 7 8 8 7 5 4 4 5 5 6 6 6 7 8 9 9 9 8 8 8 8 8 7 5 1 -2 -1 1 2 3 5 7 8 8 8 9 9 9 9 9 9 9 9 nan
nan 9 9 9 9 8 7 7 8 8 8 8 7 7 5 5 4 5 6 6 7 7 7 7 8 8 9 10 11 11 10 9 8 7 6 6 6 7 8 8 8 8 8 8 9 10 11 11 10 9 9 8 8 9 9 10 10 10 9 6 2 -1 -2 -0 3 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 9 10 9 7 5 4 5 5 6 7 7 7 7 5 4 3 4 5 5 6 6 7 7 8 9 9 8 8 8 8 7 7 6 3 -0 -1 2 5 6 7 7 7 7 7 8 8 9 9 9 9 9 9 9 nan
nan 8 9 8 8 8 8 8 9 8 8 8 8 7 6 5 5 5 5 6 7 7 7 7 7 8 8 9 10 10 10 10 9 8 7 7 6 7 8 8 8 7 7 7 8 9 11 11 11 10 9 9 9 9 9 9 9 9 7 4 1 -1 -0 3 7 9 9 7 7 7 7 8 8 8 7 7 7 7 7 6 6 7 8 7 5 4 4 5 6 6 7 7 6 5 4 3 3 4 4 5 6 7 7 8 8 8 8 7 7 7 7 7 6 5 3 2 4 8 10 11 11 10 9 7 7 7 7 8 8 8 9 9 9 8 nan
nan 8 8 7 8 9 10 10 10 9 9 8 8 7 7 6 6 6 5 5 5 6 6 7 7 7 8 8 9 9 9 10 10 9 8 7 7 7 8 8 8 7 7 7 8 9 9 10 11 10 10 10 10 9 9 8 8 7 6 4 2 2 3 7 10 11 9 7 6 6 6 7 8 9 8 8 8 7 6 5 5 6 7 6 4 3 4 5 6 7 7 6 5 4 3 3 3 4 5 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 5 7 10 14 15 15 15 14 12 9 7 6 6 7 7 8 8 9 9 8 nan
nan 8 8 8 9 10 11 11 10 9 8 8 8 8 8 7 7 6 5 5 5 6 6 6 6 7 7 8 8 9 9 9 10 9 8 7 7 8 8 9 8 8 7 7 8 8 8 8 9 10 10 10 10 10 9 8 8 7 6 5 4 5 7 10 11 11 9 7 6 5 6 7 8 10 10 8 7 5 5 5 6 6 5 4 4 4 4 4 6 7 8 7 6 4 4 3 4 5 5 6 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 11 14 15 15 16 18 18 15 11 7 5 5 5 7 7 8 8 9 8 nan
nan 9 9 10 10 11 10 9 9 8 7 7 8 8 8 8 7 6 5 6 6 7 7 7 7 7 7 7 8 7 7 8 9 9 8 7 6 7 9 9 9 8 7 7 7 8 7 7 8 8 9 9 10 10 10 9 8 7 6 6 6 7 10 11 11 10 8 6 6 6 6 7 8 9 9 7 5 4 5 6 6 5 3 3 3 4 3 4 6 9 9 8 6 5 4 4 5 5 6 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 9 10 11 12 12 15 18 18 16 12 7 4 4 5 6 7 7 8 9 9 nan
nan 9 9 10 9 9 9 8 8 7 6 6 7 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 6 6 6 7 8 8 7 6 7 8 9 9 8 7 7 7 7 7 7 7 8 8 8 8 9 9 8 7 7 6 6 7 9 11 11 10 8 7 7 7 8 7 7 7 8 8 6 5 4 5 6 5 3 1 2 4 4 3 5 8 9 9 8 6 5 4 5 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 8 8 8 8 8 9 12 14 16 15 12 7 4 3 4 5 6 8 8 8 8 nan
nan 8 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 6 6 6 7 8 8 7 7 7 8 9 9 9 8 8 7 7 6 7 8 8 7 7 7 7 7 6 6 6 6 6 8 9 11 10 9 8 8 9 9 9 8 7 7 7 6 5 4 5 5 5 2 0 0 2 5 4 4 6 7 8 8 7 6 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 8 8 7 7 7 6 7 7 9 10 11 8 4 2 2 3 5 6 8 8 8 8 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 6 7 7 8 8 8 8 8 7 6 7 7 7 7 7 7 8 8 9 10 10 9 8 7 6 6 7 8 8 8 8 7 6 6 6 6 6 7 7 9 9 9 9 9 9 9 10 10 9 8 8 7 6 5 5 6 5 4 2 1 2 5 6 6 6 7 6 6 6 6 6 6 7 9 10 9 9 9 9 9 9 9 9 9 9 9 10 12 11 10 9 8 8 8 7 5 4 3 3 3 2 2 2 2 2 3 5 7 7 8 8 8 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 7 6 5 6 7 7 8 8 9 9 8 8 7 7 6 6 7 7 7 8 9 10 10 10 9 8 7 6 7 9 9 10 9 9 8 7 7 7 7 6 6 6 7 8 9 9 8 9 9 9 8 8 8 7 6 6 7 7 6 4 3 3 5 8 9 9 9 8 7 7 7 7 7 7 9 10 9 8 8 9 10 10 10 10 10 9 9 10 12 13 11 9 8 8 9 9 7 5 4 4 3 2 1 1 2 2 2 4 6 7 7 8 8 8 nan
nan 8 8 8 8 8 8 8 8 8 9 10 10 9 9 8 9 9 9 8 7 6 6 7 7 8 8 9 9 9 9 9 8 7 6 6 7 7 7 7 9 9 10 10 9 9 8 7 8 9 10 11 11 10 10 9 9 9 8 7 5 4 5 6 7 8 8 8 8 7 8 8 8 8 7 7 7 7 6 6 5 6 8 10 11 10 9 8 8 9 9 8 7 7 8 8 8 8 9 10 11 11 11 11 10 9 10 12 12 11 9 7 7 7 8 7 7 8 10 12 12 10 8 6 4 3 3 4 6 7 7 8 8 8 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 9 8 7 7 6 6 6 7 7 8 9 9 9 9 9 8 8 8 9 10 10 11 11 11 11 11 11 11 10 8 6 6 6 6 7 8 8 8 7 7 7 8 8 7 6 6 7 6 6 7 8 10 10 10 9 8 8 10 11 10 8 7 8 8 8 8 9 9 10 11 11 11 10 10 10 12 12 10 8 7 7 7 8 7 7 9 11 15 19 19 17 13 9 5 3 3 4 6 7 7 7 7 7 nan
nan 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 9 9 10 9 9 9 9 9 9 8 8 9 9 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 11 11 11 12 12 13 13 12 10 9 7 6 6 7 7 7 6 6 6 6 6 5 5 5 5 6 6 8 9 9 9 9 8 8 9 11 11 10 9 9 10 10 9 10 10 9 9 10 10 10 9 10 11 11 10 9 8 8 9 10 10 10 11 12 13 16 18 18 16 12 8 5 3 4 5 6 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
457 466 429 380 369 366 342 336 318 294 264 224 186 153 119 98 88 84 75 65 63 43 57 90 118 136 145 166 178 175 194 228 268 288 285 281 286 291 293 289 278 271 259 245 219 173 155 130 96 78 67 51 44 46 61 85 108 152 186 225 215 123 25 8 6 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 23 32 32 33 41 63 74 64 47 32 21 17 19 21 24 30 38 51 68 92 120 147 147 132 133 151 162 177 238 277 294 281 257 239 239 253 292 317 347 365 376 413 456 411 364 327 262 238 270 335
526 557 546 470 443 457 406 373 335 294 256 223 192 157 133 125 122 121 106 99 74 67 94 133 162 171 175 190 198 197 233 268 292 299 289 283 295 317 321 311 300 287 275 275 265 223 191 168 138 111 99 79 54 54 70 117 205 264 234 186 147 61 12 3 4 2 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 29 32 25 32 49 75 93 99 97 89 81 79 73 68 65 54 57 78 109 141 171 187 178 163 146 141 147 149 169 222 258 266 260 243 215 206 281 270 290 308 340 404 423 394 367 306 276 263 228 265
627 658 629 579 529 527 461 390 332 289 253 224 201 179 172 166 168 154 124 104 94 106 140 174 188 179 177 193 206 220 252 269 273 278 284 291 310 334 306 289 290 280 279 275 261 230 195 174 164 150 122 87 65 64 89 178 294 301 188 98 83 21 3 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 24 24 19 32 55 85 119 150 168 172 178 189 180 174 154 129 123 138 175 220 257 277 264 237 207 172 164 163 174 200 220 227 241 229 192 188 218 252 267 256 258 288 305 283 273 274 321 303 256 254
708 709 711 696 635 580 502 415 342 299 271 245 227 216 205 188 172 148 128 129 149 174 197 206 198 189 192 203 213 227 241 249 252 262 278 296 325 329 268 266 281 281 283 283 268 236 200 179 174 173 144 95 72 83 117 192 258 218 101 39 35 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 26 19 20 37 68 106 153 184 190 237 279 327 344 333 298 254 225 224 247 281 316 341 343 330 289 249 230 213 204 210 212 205 223 229 229 229 246 280 303 307 298 291 274 258 253 278 321 281 237 217
673 725 792 773 705 634 551 464 384 334 311 289 269 249 221 179 136 134 151 174 188 201 213 206 193 197 206 214 222 232 245 267 289 311 333 339 322 311 284 288 303 310 321 329 314 280 249 231 227 229 196 142 117 128 170 237 249 160 56 22 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 15 22 32 56 93 138 191 235 243 306 399 474 515 507 454 382 331 314 318 333 351 377 397 384 346 311 281 254 243 244 252 241 245 252 266 291 312 342 383 415 424 413 351 280 326 352 320 256 209 186
605 741 881 805 751 679 603 518 430 371 349 329 306 276 232 178 181 195 198 192 189 195 200 190 180 186 202 219 238 262 293 334 376 400 396 383 355 331 326 337 356 375 408 422 407 399 401 394 363 311 269 176 161 187 226 250 205 100 36 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 6 20 38 62 93 132 179 237 290 314 397 506 591 641 640 594 525 464 417 377 357 396 419 435 423 398 370 351 342 325 307 307 307 311 316 315 333 373 413 452 485 506 522 462 386 421 447 392 292 218 171
965 998 964 822 804 748 657 546 447 392 374 355 328 289 231 195 188 195 195 177 160 165 185 190 177 197 222 251 287 329 377 433 493 529 509 459 421 398 404 418 444 470 512 551 570 588 588 570 545 406 363 325 297 266 250 227 148 58 23 3 0 0 0 0 0 0 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 11 33 66 104 144 185 239 316 374 383 463 586 676 723 747 747 719 658 557 505 472 497 495 476 468 457 438 432 409 387 374 375 383 390 398 410 433 459 492 529 555 557 594 566 519 524 551 515 406 301 206
1304 1183 1041 902 897 859 743 592 470 411 393 365 337 284 219 195 168 163 175 189 190 176 177 211 197 246 286 339 392 436 482 542 612 665 668 588 516 495 511 521 535 552 581 625 658 667 659 663 628 506 437 381 314 263 238 200 114 33 10 1 0 0 0 0 0 0 1 2 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 3 17 55 103 151 209 272 348 418 463 481 552 662 777 858 904 934 949 880 784 738 692 662 606 545 516 505 491 475 439 415 411 420 440 459 474 488 503 523 556 594 621 617 633 642 631 613 608 600 556 484 400
1358 1251 1119 1056 1041 971 821 661 544 459 422 380 337 253 202 174 155 155 167 185 206 215 222 273 272 327 378 456 525 561 587 627 660 665 682 719 602 549 542 554 564 569 581 603 624 641 634 610 572 502 434 363 291 237 205 172 85 19 3 0 0 0 0 0 0 1 1 1 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 5 30 79 143 216 300 386 472 523 563 606 680 768 854 936 1017 1080 1144 1129 1086 1024 953 871 763 668 626 593 549 494 450 427 437 465 505 540 560 575 580 591 610 641 661 665 669 685 705 702 678 666 677 655 637
1263 1287 1257 1217 1161 1046 874 730 642 546 474 382 291 210 179 170 176 188 196 205 232 270 299 346 382 436 493 573 641 662 659 665 636 574 573 583 537 506 509 531 545 542 546 568 601 645 661 624 560 484 411 343 278 223 178 141 68 24 5 0 0 0 0 0 0 1 2 2 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 11 48 114 200 302 405 468 526 587 651 722 796 858 907 964 1047 1116 1196 1256 1293 1264 1187 1087 969 865 795 724 668 568 513 488 502 542 581 609 638 657 675 681 685 697 706 712 723 742 760 758 732 710 741 749 770
902 1039 1126 1147 1116 1032 913 793 690 595 480 341 227 184 179 188 199 209 219 239 275 316 364 413 480 555 625 665 682 665 611 584 538 493 486 500 492 483 495 525 540 530 541 591 656 713 691 599 503 439 376 298 237 190 145 101 60 28 9 2 0 0 0 0 0 1 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 3 24 78 164 273 387 468 498 542 611 696 787 868 916 939 978 1040 1116 1190 1264 1325 1376 1375 1300 1212 1115 1020 927 890 770 687 653 642 653 687 707 691 690 721 741 741 740 740 746 762 767 781 786 784 758 775 796 818
471 565 672 787 845 837 788 722 658 564 399 263 209 194 195 209 221 232 251 286 346 406 466 532 601 665 706 681 619 561 488 453 427 404 412 441 472 498 519 544 556 544 554 587 607 589 519 431 357 295 248 218 169 128 93 65 44 24 12 5 0 0 0 1 0 0 1 2 1 1 1 1 0 0 0 0 0 0 0 0 0 1 10 45 122 213 327 425 475 497 537 604 698 800 877 941 972 1011 1076 1157 1233 1303 1352 1390 1436 1442 1409 1329 1246 1150 1077 994 933 878 814 767 792 803 752 728 738 749 753 750 746 755 760 753 760 775 809 806 813 845 888
216 249 292 387 487 546 562 563 573 509 337 233 208 208 219 236 253 274 310 367 439 504 572 642 693 708 675 588 489 417 361 329 319 321 351 416 480 501 499 504 511 514 498 482 457 413 357 296 243 200 161 133 105 84 67 44 28 15 8 4 1 1 5 8 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 4 25 82 167 261 361 438 480 507 566 641 709 802 881 939 980 1033 1114 1219 1317 1393 1443 1464 1469 1462 1445 1413 1373 1333 1285 1192 1074 983 897 844 843 823 787 773 773 786 790 780 765 750 753 751 758 776 812 839 860 895 945
90 110 131 175 242 314 375 418 454 447 329 269 264 268 272 285 307 337 386 464 547 619 688 718 700 631 525 421 351 307 287 278 292 308 334 389 437 451 439 424 406 385 372 349 325 287 248 213 180 146 110 82 62 54 38 24 13 6 3 1 1 7 22 13 1 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 1 10 46 120 202 301 394 467 492 521 607 698 734 779 844 900 958 1022 1124 1255 1377 1464 1514 1535 1527 1503 1495 1460 1427 1382 1316 1229 1127 1054 995 931 909 897 882 875 881 887 878 862 838 805 794 790 798 817 843 875 900 936 958
24 36 48 62 93 148 214 275 343 372 337 316 314 324 345 372 404 443 502 586 655 722 766 724 605 468 357 292 272 275 282 281 322 332 340 363 384 382 351 309 271 248 241 227 213 192 170 154 136 109 73 50 28 18 10 6 4 2 0 0 0 1 5 0 0 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 3 21 76 156 241 334 425 488 487 496 576 642 641 692 775 845 891 944 1035 1166 1305 1414 1480 1516 1519 1514 1500 1469 1420 1357 1286 1229 1178 1135 1092 1058 1035 1037 1043 1041 1044 1040 1019 978 936 894 868 860 864 874 893 931 953 994 1010
2 4 2 4 17 46 97 160 237 302 334 352 375 397 415 438 477 528 599 660 734 825 800 627 441 333 286 270 268 293 314 353 389 381 363 355 329 275 221 180 150 140 139 138 135 124 111 104 95 76 45 23 11 5 3 2 1 1 0 1 1 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 0 0 0 1 9 40 102 178 259 336 414 453 448 454 499 527 524 594 662 710 752 800 866 963 1094 1221 1320 1402 1441 1444 1430 1406 1376 1343 1310 1295 1286 1266 1243 1225 1196 1179 1188 1204 1186 1146 1117 1078 1023 973 939 923 923 937 955 995 1034 1070 1066
0 0 0 1 1 8 34 79 147 224 289 332 346 355 377 410 456 504 536 618 731 812 702 473 320 286 283 282 275 297 332 396 429 396 339 281 209 140 98 89 87 95 93 86 81 75 72 76 69 43 15 7 3 3 2 2 1 1 0 2 2 2 2 1 1 1 1 2 3 2 1 2 2 1 2 1 1 0 0 3 17 62 121 192 258 320 379 415 420 405 415 444 474 503 540 582 623 667 721 785 880 999 1105 1206 1278 1294 1301 1316 1317 1329 1363 1412 1443 1426 1407 1394 1364 1328 1319 1300 1268 1215 1177 1134 1082 1039 999 959 962 978 1000 1040 1080 1110 1132
0 0 0 0 0 2 10 34 82 146 219 274 314 329 325 333 352 388 455 557 667 704 556 377 301 282 276 279 272 280 310 344 335 281 213 142 76 47 33 36 43 53 51 43 40 44 51 49 46 24 6 3 2 2 2 1 1 2 2 3 2 3 3 3 3 2 1 1 2 1 1 1 2 2 2 2 1 1 0 3 29 83 140 200 254 303 350 379 386 327 311 320 327 347 388 442 493 537 589 656 733 820 942 1040 1087 1118 1167 1214 1247 1318 1389 1505 1566 1540 1503 1485 1469 1432 1393 1368 1316 1238 1183 1142 1109 1084 1067 1028 1015 1018 1031 1060 1087 1123 1167
0 0 0 0 0 0 2 13 50 96 156 210 250 275 275 250 248 281 374 505 608 628 481 341 316 296 283 275 243 230 234 221 172 116 73 35 10 0 6 8 10 11 12 13 14 15 16 15 18 10 4 2 2 2 2 2 2 3 4 4 3 3 3 2 1 1 1 0 1 1 0 1 2 2 2 2 2 1 0 7 43 93 141 185 229 266 286 277 272 210 188 174 180 215 264 311 355 382 434 500 561 632 754 878 945 987 1053 1117 1201 1285 1351 1466 1549 1552 1509 1470 1471 1433 1360 1297 1236 1181 1132 1100 1085 1079 1066 1046 1060 1069 1065 1075 1090 1107 1136
1 1 0 0 1 0 0 6 29 77 117 142 164 187 207 222 256 320 418 528 573 552 458 362 323 291 257 229 195 166 140 101 53 23 11 2 0 0 0 0 0 1 1 2 3 4 4 5 5 4 3 2 1 2 3 3 4 5 4 4 4 4 3 1 0 0 0 0 0 0 0 1 2 2 2 1 1 1 1 15 48 81 111 146 181 195 209 176 136 103 88 77 86 117 151 189 226 256 294 333 375 430 521 642 760 853 931 1006 1109 1192 1258 1334 1412 1464 1461 1400 1384 1343 1280 1222 1180 1142 1102 1074 1066 1090 1113 1109 1113 1122 1119 1107 1098 1095 1106
2 2 2 4 8 2 3 9 24 58 84 104 142 201 250 272 296 360 433 476 468 438 399 349 293 225 171 138 114 87 58 29 9 1 0 0 0 0 0 0 0 0 0 0 1 2 3 4 2 2 3 2 2 2 3 3 4 4 4 4 4 4 2 1 0 0 0 0 0 0 0 0 1 1 2 1 0 0 2 14 34 51 64 79 102 112 126 100 64 47 41 35 37 50 71 101 135 161 185 211 246 287 342 426 538 660 766 853 942 1023 1104 1187 1252 1311 1368 1337 1301 1255 1209 1200 1183 1132 1104 1103 1125 1135 1175 1196 1189 1187 1181 1164 1155 1127 1143
2 2 4 7 10 4 7 20 33 49 67 93 141 208 256 270 292 311 301 290 289 286 262 222 178 114 73 47 30 18 9 3 1 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 2 2 2 1 2 3 3 3 3 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 5 11 18 26 31 35 40 48 42 29 25 23 17 11 11 24 57 85 99 111 130 158 192 235 284 357 445 554 645 723 798 890 979 995 1059 1181 1202 1178 1152 1138 1133 1120 1094 1092 1130 1166 1159 1187 1230 1243 1229 1230 1231 1207 1144 1096
0 1 2 4 3 3 5 14 25 42 59 79 122 188 200 191 183 155 119 107 115 123 114 85 58 28 15 6 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 2 1 2 3 2 2 2 2 3 4 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 2 4 8 6 6 11 14 11 8 7 4 2 4 18 41 56 62 68 81 103 136 178 211 261 310 365 424 482 537 605 703 731 820 921 979 981 1002 1055 1060 1029 1018 1060 1107 1133 1144 1166 1180 1197 1246 1300 1274 1206 1195 1217
0 0 0 0 1 1 1 3 7 15 28 44 69 99 93 71 52 34 18 15 21 27 27 13 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 2 1 2 3 3 2 2 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 2 2 1 0 0 0 0 6 18 29 38 46 57 73 101 134 163 188 211 233 258 288 319 356 416 461 524 618 716 779 835 918 978 1019 1001 1022 1060 1090 1119 1157 1223 1322 1342 1347 1347 1380 1427 1421
0 0 0 0 0 0 0 0 0 2 6 13 21 18 7 3 1 2 1 0 2 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 3 3 3 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 0 0 0 0 0 0 0 0 0 0 0 4 11 20 31 42 51 60 77 96 112 125 134 140 151 167 181 197 227 264 296 358 449 539 618 723 834 913 925 979 1043 1106 1162 1178 1174 1234 1266 1324 1391 1484 1555 1560
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