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 10 7 6 5 4 3 3 3 2 2 2 2 2 2 2 2 3 4 4 4 5 5 5 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 9 10 10 11 11 11 10 10 10 10 10 10 10 11 12 12 12 11 9 5 2 0 3 6 7 7 7 7 7 7 6 7 6 6 6 6 7 7 7 7 6 6 5 4 5 5 5 6 6 6 7 7 7 7 7 7 6 6 6 7 7 7 8 8 7 7 7 6 6 6 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 nan
nan 10 7 5 4 4 3 3 3 2 2 2 1 1 1 1 2 3 4 4 5 5 5 6 6 6 7 7 7 8 8 9 10 10 10 9 9 10 10 11 11 12 13 13 13 13 12 12 12 11 11 11 12 12 12 10 9 7 5 3 2 2 5 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 4 4 4 5 5 6 7 7 7 7 7 7 7 7 7 6 7 7 7 8 8 8 8 8 7 7 7 6 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 nan
nan 9 7 5 4 3 3 3 3 2 2 1 1 0 0 1 2 3 4 4 5 5 6 6 6 6 7 8 8 9 10 11 12 12 12 12 12 13 13 14 14 14 15 15 15 15 15 15 14 14 14 14 14 13 11 9 7 5 3 3 4 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 4 3 3 4 5 6 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 nan
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nan 8 7 7 7 8 9 8 6 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 8 8 8 7 7 7 7 7 8 8 7 7 7 6 6 7 9 10 10 11 11 11 11 11 10 8 5 3 2 1 1 2 3 5 6 7 8 8 9 9 8 7 7 7 6 6 5 5 6 6 6 6 6 7 8 9 8 7 7 6 4 2 0 0 1 3 4 5 5 5 4 3 3 4 4 5 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 nan
nan 8 7 7 8 9 9 8 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 6 6 6 8 9 10 10 11 11 11 11 11 10 8 6 4 2 1 1 2 3 4 6 6 7 8 9 9 9 8 7 7 6 6 5 5 5 5 6 6 6 6 7 8 8 8 7 6 5 4 3 2 2 3 5 6 7 6 5 3 3 3 4 5 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 nan
nan 7 8 9 10 10 10 8 6 5 5 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 7 8 9 10 10 11 11 11 11 11 10 9 7 6 4 4 3 3 3 4 5 6 6 7 9 10 9 8 8 7 7 6 5 5 4 4 5 6 6 6 6 6 7 7 6 6 5 6 5 4 3 4 6 8 9 8 6 4 3 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 nan
nan 8 10 10 10 10 9 6 4 4 5 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 8 8 7 7 7 8 8 8 7 7 7 7 7 7 6 6 6 8 9 9 10 10 11 11 11 11 11 10 9 8 8 7 6 5 5 4 4 5 5 6 8 10 10 10 9 8 8 7 6 5 4 4 4 5 6 6 6 6 6 6 6 5 4 4 6 6 6 5 6 8 10 10 9 7 4 3 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 nan
nan 9 9 9 9 9 8 6 4 5 6 7 7 7 7 6 7 7 7 7 7 9 9 10 10 10 10 10 10 9 8 7 7 7 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 10 10 11 12 11 10 9 9 9 9 9 9 8 6 5 5 4 4 5 8 10 10 10 9 9 9 8 7 6 4 3 3 4 6 6 6 5 5 5 6 4 3 3 5 6 7 7 8 9 10 10 9 6 3 2 4 5 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 nan
nan 8 9 9 9 9 8 6 5 6 7 7 7 7 7 7 7 7 7 7 7 9 10 10 10 10 9 9 10 10 9 8 7 6 7 7 7 7 7 7 7 8 8 9 9 10 9 9 9 9 10 11 12 11 10 9 9 9 10 10 10 9 8 6 5 4 4 6 8 10 11 11 10 9 9 9 8 7 5 4 3 4 5 5 5 5 5 5 5 3 3 4 5 6 7 9 10 10 10 9 7 5 3 4 6 7 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 nan
nan 9 11 11 10 9 7 5 5 6 7 7 8 8 8 8 8 8 7 7 7 8 9 9 8 8 7 7 8 8 9 9 7 6 5 5 6 7 7 7 8 9 9 9 10 10 9 9 9 9 10 11 11 11 10 10 10 10 11 11 11 10 8 6 4 4 5 6 8 9 11 11 10 9 9 9 9 8 6 4 4 4 4 5 5 5 5 5 4 3 3 4 6 6 8 9 10 10 9 8 7 5 5 7 8 7 7 7 7 7 7 7 8 7 8 8 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 nan
nan 10 12 12 10 7 6 5 6 7 7 8 9 9 9 9 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 8 8 6 6 5 5 6 7 7 8 9 9 10 10 10 10 9 10 10 11 11 11 10 10 10 10 11 12 12 11 9 6 4 4 4 5 6 8 9 10 10 9 9 9 9 9 9 7 6 5 4 4 4 5 5 5 4 3 3 4 5 6 6 7 9 10 10 9 7 7 7 8 9 8 7 7 8 8 8 8 8 8 9 9 9 8 8 6 6 5 5 6 6 7 7 7 7 7 8 8 8 8 9 nan
nan 10 11 10 7 5 4 5 6 7 8 9 9 9 9 9 9 10 10 11 10 8 7 6 6 5 5 6 5 5 6 7 8 8 7 6 6 6 6 7 8 9 10 11 11 10 10 10 10 11 12 12 11 11 10 10 11 12 13 12 10 7 4 3 3 4 6 7 8 9 9 9 8 8 8 9 9 9 8 6 5 4 4 4 5 5 5 4 3 3 4 5 6 7 7 9 10 10 9 7 7 8 9 9 8 8 8 9 9 9 9 9 10 10 11 11 10 8 6 5 4 5 5 6 6 7 7 7 8 8 8 8 9 9 nan
nan 9 9 7 5 4 4 6 6 7 8 9 9 8 8 9 10 10 10 10 9 8 8 7 7 7 6 6 6 5 5 6 7 8 8 7 6 6 7 7 8 9 11 12 11 11 10 9 10 11 12 12 12 11 11 11 12 13 12 11 8 5 2 2 3 5 7 8 9 8 8 8 8 8 8 9 9 8 7 6 5 5 5 5 5 4 4 4 3 4 4 5 6 7 8 9 10 9 8 7 7 7 8 8 8 8 8 9 9 9 10 11 12 13 13 12 10 8 5 4 3 4 5 6 7 7 7 7 8 8 8 9 9 9 nan
nan 8 7 6 5 5 6 7 7 7 7 8 8 8 9 10 9 9 8 8 8 8 8 8 8 8 8 7 6 6 5 5 6 7 8 7 6 7 7 8 9 10 11 12 11 10 9 9 9 10 11 11 12 12 12 12 12 12 11 9 6 3 0 -0 2 5 8 8 8 8 7 7 8 8 9 9 8 7 6 5 5 5 6 5 5 4 4 4 4 4 5 5 6 7 9 10 10 8 6 6 6 6 7 8 7 7 8 8 9 10 11 13 15 16 15 13 10 6 3 2 3 4 5 6 7 7 8 8 8 9 9 9 9 9 nan
nan 8 7 7 6 7 8 9 8 7 7 8 8 9 9 9 8 7 7 7 7 7 8 8 8 8 8 7 7 6 6 5 6 6 7 6 6 6 7 8 9 10 11 11 10 9 8 8 9 9 10 11 11 11 11 12 11 11 9 7 4 1 -1 -2 1 5 8 8 8 7 7 7 8 8 9 9 8 6 5 5 5 6 7 6 6 5 4 4 5 5 5 6 7 8 9 9 8 5 4 5 6 6 7 7 6 7 8 9 9 10 11 13 14 14 13 10 6 3 2 2 4 5 7 7 8 8 8 8 9 9 9 10 10 10 nan
nan 8 7 7 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 6 7 7 7 8 8 8 8 8 8 8 7 6 6 6 6 6 6 6 7 7 8 10 11 11 10 9 8 8 9 9 10 10 10 10 11 11 11 11 9 7 4 0 -3 -2 1 5 7 8 7 7 7 7 8 9 9 9 7 6 5 5 6 7 7 7 6 6 5 6 6 5 5 6 7 8 9 8 6 4 5 6 6 7 7 6 7 9 10 10 9 9 10 10 11 10 8 4 0 -0 2 4 6 7 8 9 9 9 9 9 9 9 10 10 10 10 nan
nan 8 7 7 9 9 9 8 8 8 8 8 8 8 7 6 6 6 6 6 6 7 7 7 8 8 9 10 10 9 8 7 7 6 6 6 5 6 6 7 7 8 10 10 10 9 9 9 9 10 10 10 9 9 10 11 12 12 10 7 3 -1 -3 -2 1 5 7 8 7 6 7 8 8 9 9 8 6 5 5 5 6 7 7 7 7 6 6 6 6 6 6 6 7 8 8 7 5 5 6 7 7 7 7 7 9 10 10 10 9 9 9 8 8 7 4 -1 -3 0 4 7 9 10 10 10 9 9 9 9 9 10 10 10 10 10 nan
nan 8 8 9 9 9 8 8 9 9 8 7 7 6 5 4 4 4 5 6 6 6 7 7 7 8 9 9 10 10 9 8 7 7 6 5 5 5 6 6 6 7 9 9 10 9 9 10 10 10 10 9 9 9 10 11 12 12 11 6 1 -2 -3 -1 3 6 7 7 6 6 7 7 8 8 8 7 6 5 5 5 5 6 7 7 7 7 7 7 6 6 6 7 7 7 7 6 6 7 7 7 8 8 8 8 9 10 10 9 8 8 8 8 7 5 2 -1 -0 4 8 10 11 11 11 10 9 9 9 9 9 10 10 10 10 10 nan
nan 8 8 8 8 8 8 9 10 9 8 7 7 6 5 4 4 4 5 6 6 6 6 7 7 7 8 8 9 9 9 9 9 8 6 6 5 5 5 6 5 6 7 8 9 10 10 11 11 10 10 9 9 9 9 10 11 11 9 5 0 -2 -1 2 5 7 8 7 6 6 6 7 7 8 7 7 6 6 5 5 5 6 7 8 8 7 7 6 6 6 6 6 6 6 5 5 6 7 7 8 8 8 8 8 9 9 9 8 8 9 9 8 7 5 2 1 6 10 13 13 12 11 10 9 8 8 8 8 9 10 10 11 10 10 nan
nan 8 8 7 7 8 10 11 11 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 9 10 10 9 8 7 6 6 6 6 6 6 6 7 9 10 10 10 10 10 10 9 9 9 10 10 10 9 7 4 1 0 2 5 8 10 9 8 7 7 7 7 7 7 7 7 6 5 5 4 5 6 8 8 8 7 7 6 6 6 6 5 5 5 5 6 7 7 7 8 8 8 8 8 9 9 8 8 8 9 9 8 7 6 6 8 13 15 15 13 12 11 9 8 7 6 7 8 9 10 11 11 11 10 nan
nan 8 7 7 9 10 11 11 10 9 7 7 6 6 7 7 8 7 6 5 6 6 6 6 6 7 7 7 8 8 9 10 10 10 9 8 7 7 7 6 6 6 6 7 8 9 9 9 9 9 9 9 10 10 10 10 9 8 6 4 3 4 6 9 11 11 10 9 8 7 7 7 7 7 7 7 5 4 4 4 6 7 8 8 8 7 6 6 6 6 7 6 6 6 6 7 7 8 8 8 8 8 8 9 9 9 8 9 9 9 9 8 7 8 10 13 16 15 13 12 11 10 8 6 5 5 6 8 10 11 11 11 11 10 nan
nan 8 8 9 10 11 10 9 8 7 6 6 6 7 8 8 8 7 7 7 7 7 7 7 6 6 7 7 7 8 8 9 10 10 9 8 8 8 7 7 6 6 5 6 7 8 8 8 9 9 9 9 9 10 10 9 8 7 6 5 5 7 9 11 11 10 9 8 8 8 8 8 8 8 7 6 5 4 4 6 7 7 7 6 6 7 5 5 6 7 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 9 11 12 13 12 11 11 10 8 5 3 3 4 7 9 11 12 12 11 11 10 nan
nan 9 9 9 9 9 9 8 7 6 5 5 6 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 8 9 9 8 8 8 7 7 6 6 5 5 6 6 7 8 8 8 8 8 9 9 9 8 8 7 6 5 6 8 11 11 10 9 8 8 9 9 9 8 7 7 7 6 5 4 5 7 7 6 5 5 6 6 5 5 7 8 8 8 7 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 10 11 10 9 9 10 10 9 8 8 9 7 5 2 1 2 5 8 10 12 12 12 11 11 10 nan
nan 9 9 9 8 8 8 8 7 6 5 5 6 7 8 9 9 9 9 8 8 7 7 7 7 7 6 6 6 6 6 6 7 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 8 7 7 7 6 7 8 10 11 10 9 8 8 9 10 10 10 9 8 7 6 5 4 5 6 7 6 4 4 5 6 5 5 6 7 7 7 6 6 6 7 8 9 9 8 8 8 9 9 9 9 9 9 9 10 11 12 11 10 9 8 8 7 6 6 5 4 1 -2 -2 3 7 10 12 13 12 12 11 11 10 nan
nan 9 8 8 8 8 8 8 7 7 6 6 7 8 8 9 9 10 9 9 7 6 6 6 6 6 7 7 7 7 7 6 6 6 7 8 8 8 8 8 7 7 7 7 7 6 6 6 6 7 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 8 8 9 10 10 10 9 9 8 7 6 5 6 7 6 6 5 5 7 7 6 6 6 6 6 6 6 6 6 7 9 10 9 8 9 9 9 9 9 9 9 9 9 11 13 13 11 9 8 8 8 6 4 2 1 0 -2 -4 -1 5 9 11 12 12 12 11 11 10 10 nan
nan 8 8 8 8 8 8 8 7 7 7 8 8 9 9 10 10 11 10 9 7 5 5 6 6 6 7 7 8 8 8 7 6 6 6 7 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 7 7 7 6 6 6 6 6 6 7 7 8 8 8 8 9 10 10 9 10 10 9 8 7 7 7 7 7 7 7 8 9 9 9 8 7 6 6 7 6 6 7 8 9 8 8 8 9 9 9 9 9 9 9 9 10 12 13 12 10 8 7 8 8 5 3 1 2 2 0 0 4 7 9 11 11 10 10 10 10 10 10 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 8 6 6 6 6 7 7 8 9 9 9 9 8 7 7 7 8 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 6 6 5 5 4 4 5 6 7 8 8 8 8 9 9 9 10 9 9 8 8 8 8 7 7 8 9 10 10 10 8 7 7 8 8 7 6 7 8 8 7 7 8 9 10 10 10 10 9 8 9 11 12 11 9 7 6 7 7 6 4 4 5 7 7 5 6 6 7 7 8 8 8 9 9 9 10 10 nan
nan 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 8 7 8 8 8 8 8 9 9 9 8 8 7 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 7 8 8 8 9 9 9 9 9 8 8 7 6 5 5 5 6 7 7 7 8 8 7 8 8 9 9 8 8 8 8 8 7 7 8 9 10 10 9 8 8 9 9 9 7 6 7 7 7 8 8 9 9 10 10 10 9 8 9 10 10 9 8 7 6 7 7 6 6 6 7 9 10 8 6 4 4 4 5 5 6 7 8 9 9 10 10 nan
nan 7 7 8 8 8 8 8 7 7 7 6 6 6 7 9 9 9 9 8 8 9 9 9 8 8 8 7 7 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 8 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 7 7 7 7 8 9 9 9 8 8 9 10 10 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 7 7 8 9 9 9 9 9 9 9 10 9 6 2 1 1 2 3 4 5 7 8 9 10 10 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
443 328 259 281 289 297 306 295 253 215 185 157 135 123 126 135 144 143 138 135 131 142 168 202 233 250 257 272 291 316 347 361 355 348 328 315 315 299 266 253 274 304 339 365 360 303 272 239 207 187 156 107 72 67 79 85 81 81 90 124 146 118 61 14 6 5 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 38 59 66 65 67 80 98 97 91 101 102 104 116 132 154 171 184 206 228 259 297 338 334 329 360 372 383 402 407 418 452 428 425 419 402 396 401 419 419 393 348 339 341
718 583 374 393 406 395 370 337 282 226 187 164 150 148 159 174 182 163 152 157 168 188 217 243 257 263 275 292 310 331 356 375 379 383 365 348 353 345 293 258 289 340 374 389 388 340 294 262 236 215 179 115 71 79 104 136 151 129 112 121 117 71 25 3 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 24 49 70 78 76 87 132 181 199 214 238 235 213 200 203 220 248 260 254 265 307 335 370 400 399 399 409 418 419 415 461 425 438 428 383 349 359 401 422 427 428 390 382 330
872 831 550 489 500 452 372 333 282 226 192 180 179 184 186 190 186 170 159 173 195 218 241 256 257 258 281 315 348 373 412 474 535 590 622 604 541 466 376 373 423 486 540 550 503 421 347 296 269 261 191 121 94 104 156 204 191 128 88 89 70 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 1 5 18 37 57 76 97 117 124 151 207 284 354 424 497 510 463 403 362 345 351 347 351 340 390 413 423 435 438 435 429 420 400 389 400 408 420 444 443 414 395 404 422 471 454 450 422 372
815 769 633 581 560 500 424 350 282 240 227 226 229 225 207 178 156 152 164 190 212 232 249 253 252 268 319 385 455 528 634 779 922 1013 1025 921 704 556 513 582 715 818 884 859 734 583 466 389 337 309 225 150 135 154 176 181 144 84 51 43 23 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 2 12 32 62 93 116 132 157 210 246 260 301 386 507 653 783 833 803 719 603 516 474 455 482 476 485 491 493 488 467 442 414 411 393 379 390 406 421 457 486 473 457 465 479 514 477 475 435 402
940 827 725 661 609 543 464 384 316 285 285 283 271 240 209 172 139 159 188 218 229 237 258 276 292 340 438 559 693 825 968 1112 1214 1210 1122 1011 800 761 865 1003 1069 1140 1188 1105 958 841 723 606 490 382 300 261 244 204 167 143 104 57 32 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 18 47 84 126 168 195 215 264 327 364 374 418 499 632 805 957 1041 1053 989 867 732 649 614 606 574 537 521 534 539 505 461 426 428 438 451 453 466 477 489 511 517 521 558 565 594 571 547 520 483
1025 969 847 737 681 603 527 455 389 356 352 337 304 252 215 184 165 202 223 232 240 262 314 375 445 552 686 833 994 1102 1144 1145 1125 1065 974 935 905 900 943 996 1012 1031 1072 1029 953 920 804 639 497 396 336 284 237 170 117 91 66 36 13 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 16 28 58 98 142 194 255 315 378 432 444 483 520 576 640 745 888 1031 1154 1236 1215 1117 981 878 810 750 682 628 603 590 594 557 511 491 490 500 514 524 531 541 552 569 612 617 662 701 723 717 687 658 635
974 1036 918 833 797 697 604 524 462 430 407 369 322 273 225 177 168 199 232 260 297 361 456 575 698 838 963 1035 1103 1081 992 906 857 842 848 871 851 852 849 806 749 698 706 714 673 631 552 478 432 388 336 270 186 110 65 45 30 10 0 0 0 0 0 0 0 0 0 1 2 0 1 0 0 0 0 0 0 0 0 0 0 2 6 22 38 62 97 145 201 263 350 446 510 516 538 604 657 726 805 894 1006 1123 1249 1398 1401 1337 1247 1150 1049 944 857 805 729 717 685 650 594 571 572 583 596 605 613 626 654 658 703 745 790 847 906 922 889 851 824
1098 1115 967 926 908 812 687 591 535 493 437 351 264 253 212 187 200 232 275 341 434 542 663 801 918 1029 1079 1006 909 787 681 629 626 653 707 748 728 743 699 631 578 530 501 475 417 381 370 399 404 355 286 210 129 67 36 19 8 0 0 0 0 0 0 0 0 1 4 7 8 4 4 2 0 0 0 0 0 0 0 1 3 7 17 40 53 77 133 204 268 325 420 518 541 548 581 667 774 882 985 1079 1167 1247 1341 1466 1534 1542 1527 1474 1367 1232 1122 1058 1024 968 892 857 767 698 676 676 683 692 694 699 742 756 781 814 863 941 1021 1064 1064 1031 1008
1226 1197 1129 1085 1029 919 790 695 635 565 459 316 255 226 209 218 250 299 365 451 565 709 857 966 1008 1007 943 793 640 537 492 488 512 571 686 753 689 653 592 530 493 477 462 433 395 372 352 336 308 260 206 155 103 54 19 5 2 0 0 0 0 0 1 4 8 13 15 18 17 13 10 6 2 0 0 0 0 0 0 3 10 22 26 44 78 132 205 282 335 368 492 545 554 571 614 696 818 957 1095 1202 1287 1364 1431 1526 1633 1724 1781 1762 1678 1548 1423 1300 1240 1210 1153 1098 1000 899 836 792 760 766 784 797 826 851 871 878 911 992 1063 1119 1154 1131 1107
1020 1141 1238 1220 1096 954 843 770 708 611 451 282 231 214 231 270 322 393 492 618 771 943 1042 1042 939 809 667 540 457 423 421 440 482 573 666 733 677 633 596 542 491 462 439 408 377 333 297 252 210 176 142 100 56 25 13 6 2 0 0 0 3 17 25 24 35 42 37 32 29 23 15 8 2 0 0 0 0 0 1 7 17 26 32 54 105 179 262 345 383 417 587 615 575 539 558 658 803 945 1102 1212 1300 1363 1413 1490 1620 1779 1871 1872 1860 1797 1692 1561 1492 1436 1353 1281 1215 1114 986 902 826 838 881 917 945 970 998 1017 1011 1051 1100 1156 1195 1193 1176
513 698 900 982 920 830 775 725 655 572 410 280 236 240 290 350 413 496 619 791 985 1134 1132 938 732 560 431 367 360 376 400 443 507 609 658 676 637 578 525 481 449 424 385 342 313 277 238 193 149 117 87 51 28 16 11 10 3 0 0 0 1 25 56 57 66 69 57 50 46 37 24 11 2 0 0 0 0 0 1 10 17 22 33 66 129 213 314 419 422 476 607 646 600 536 525 604 749 889 1042 1148 1235 1308 1368 1427 1514 1630 1760 1882 1950 2004 1911 1822 1764 1658 1537 1453 1388 1291 1106 1008 949 957 975 1013 1054 1080 1110 1134 1138 1136 1155 1182 1216 1234 1234
170 219 302 454 533 546 551 552 539 506 405 344 337 359 420 497 580 665 780 952 1077 1094 919 675 494 377 314 307 335 365 402 461 531 577 553 488 418 380 361 349 343 335 321 297 277 243 200 155 115 76 44 29 16 7 8 7 3 0 0 0 3 26 64 79 81 77 60 49 45 38 25 12 3 0 0 0 0 0 1 8 14 19 36 80 152 245 373 473 485 508 551 604 621 569 515 550 649 773 899 1003 1075 1156 1273 1390 1479 1628 1809 1888 2020 2078 2025 1976 1918 1817 1707 1623 1521 1487 1355 1231 1161 1109 1073 1082 1118 1140 1156 1169 1186 1196 1207 1213 1226 1244 1255
59 88 108 155 220 273 302 326 372 407 413 424 461 500 556 632 728 822 875 887 895 837 627 441 346 301 289 307 339 363 382 405 431 424 341 258 216 218 236 249 260 271 266 254 231 197 158 114 76 48 28 16 9 5 4 3 2 1 1 1 3 17 51 86 81 65 36 28 30 26 18 8 1 0 0 0 0 0 2 6 9 18 46 96 170 286 404 489 522 529 504 515 584 584 534 506 548 634 719 803 855 922 1058 1230 1420 1659 1811 1873 2067 2179 2182 2118 2020 1917 1827 1776 1657 1622 1533 1414 1315 1235 1175 1142 1137 1142 1156 1169 1187 1216 1237 1240 1236 1240 1259
27 28 32 51 79 112 145 175 226 271 347 389 445 494 550 602 620 605 595 635 708 690 467 332 288 275 279 308 350 372 350 302 286 246 168 125 127 147 166 179 200 220 200 187 159 131 101 72 53 39 23 11 5 3 2 2 2 2 2 1 3 18 58 65 54 43 37 33 25 16 7 2 0 0 0 0 0 0 1 2 5 19 58 113 201 311 405 458 496 504 457 427 473 500 498 473 484 525 560 591 621 665 744 899 1206 1414 1550 1718 1952 2128 2207 2181 2031 1939 1871 1793 1712 1639 1550 1453 1367 1298 1242 1199 1170 1164 1184 1203 1231 1264 1282 1280 1271 1257 1274
12 10 4 3 14 39 77 116 150 195 263 292 315 352 400 428 420 394 415 531 675 595 387 285 263 270 295 332 355 339 266 174 146 115 89 82 92 106 112 107 102 118 113 107 89 77 64 45 26 15 10 13 4 2 2 2 2 2 2 2 2 7 48 54 41 38 34 24 13 5 1 0 0 0 0 0 0 0 0 1 8 30 84 161 245 324 389 417 440 436 386 335 311 338 384 413 410 415 429 447 478 527 581 640 849 1007 1178 1404 1640 1814 1906 1926 1857 1774 1712 1668 1647 1621 1559 1472 1407 1358 1308 1287 1269 1254 1275 1320 1358 1370 1368 1355 1349 1333 1316
7 8 6 6 8 19 43 68 106 144 191 224 239 251 268 293 326 371 431 567 637 484 322 247 232 235 244 246 215 190 133 82 66 63 69 80 87 81 70 65 49 49 54 51 44 40 32 18 8 6 6 5 3 3 3 3 2 3 3 3 4 23 50 53 41 25 11 2 0 0 0 0 0 0 0 0 0 0 1 3 16 54 116 174 239 323 387 407 392 353 304 251 208 198 202 211 232 269 316 364 423 480 564 552 648 789 934 1089 1243 1376 1472 1537 1515 1474 1486 1511 1532 1523 1490 1476 1489 1466 1450 1456 1450 1454 1485 1510 1502 1491 1476 1449 1416 1382 1364
5 11 16 20 19 15 21 31 77 112 153 176 203 242 266 282 344 423 504 552 505 357 233 181 157 130 109 94 66 64 53 50 53 50 40 30 26 24 23 24 21 19 20 18 16 13 10 6 5 7 5 4 4 5 5 4 3 3 2 2 4 25 36 27 14 6 2 0 0 0 0 0 0 0 0 0 0 1 3 9 28 79 127 186 239 295 341 356 329 251 198 157 120 99 85 81 97 138 192 233 283 362 444 536 614 683 757 845 933 1018 1084 1086 1120 1165 1239 1306 1357 1431 1557 1654 1699 1748 1759 1720 1694 1680 1646 1606 1627 1626 1594 1534 1489 1475 1460
10 20 31 35 28 12 11 17 46 89 139 156 163 205 270 317 367 402 426 393 314 226 159 110 72 48 39 32 22 24 31 36 32 22 13 7 2 0 0 2 4 4 5 6 6 5 4 4 4 5 4 4 5 6 6 4 3 2 1 1 4 10 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 14 36 88 121 160 206 244 273 289 264 164 124 91 66 53 44 42 49 67 110 139 171 218 267 315 385 463 544 632 707 791 832 831 903 965 1025 1096 1169 1336 1648 1949 1988 1979 1955 1919 1894 1872 1833 1808 1730 1682 1658 1603 1557 1517 1470
19 27 30 27 17 7 5 11 27 55 101 125 146 194 254 296 308 285 235 190 152 118 78 39 17 11 10 7 5 9 15 14 15 15 11 5 1 0 1 3 4 4 5 5 4 5 5 5 5 5 5 4 4 5 5 3 2 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 15 40 66 83 105 134 161 188 189 190 137 105 77 48 31 28 30 36 44 70 96 122 153 178 201 235 277 335 419 530 621 708 783 839 896 966 1026 1049 1181 1477 1725 1858 1908 1923 1924 1923 1899 1830 1739 1660 1619 1605 1565 1529 1526 1545
14 11 7 3 3 3 4 6 14 36 67 100 144 191 215 210 182 140 97 78 69 52 27 7 1 0 1 0 0 1 2 2 2 1 0 0 0 0 1 2 3 4 5 5 5 6 5 4 4 4 3 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 14 27 32 37 46 57 81 128 107 117 101 86 77 55 30 27 29 31 35 45 64 83 103 121 144 171 189 217 274 352 430 524 647 765 842 895 959 998 1051 1190 1336 1478 1583 1649 1692 1749 1751 1673 1553 1540 1497 1449 1423 1439 1507 1581
9 5 4 4 4 3 2 3 8 19 41 73 108 128 119 96 73 57 43 37 28 15 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 5 4 4 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 1 4 9 13 17 20 21 22 28 57 52 47 46 46 46 37 24 26 28 28 31 38 52 64 74 85 101 127 156 173 199 237 281 328 394 501 626 702 788 878 926 980 1039 1081 1151 1259 1334 1431 1459 1450 1493 1442 1361 1327 1340 1408 1461 1449
12 6 4 3 3 2 1 2 3 9 23 41 54 51 30 18 14 19 18 14 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 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 1 5 12 20 23 19 17 13 18 18 15 15 15 16 18 21 26 29 32 38 44 51 57 62 71 85 106 137 152 166 184 201 217 235 278 345 415 505 602 686 757 824 885 932 981 1087 1120 1142 1166 1194 1214 1226 1252 1314 1376 1354 1325
13 9 2 2 1 0 0 0 1 3 9 14 14 9 2 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 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 1 6 20 35 36 24 12 7 5 3 3 3 3 4 7 14 22 29 35 42 50 55 60 63 68 78 91 110 125 135 143 151 156 158 184 201 228 275 335 412 500 589 678 747 863 1006 991 984 1001 1018 1050 1085 1169 1280 1305 1277 1292
7 6 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 42 37 17 6 1 0 0 0 0 0 0 2 8 19 30 38 47 55 62 67 70 72 76 82 90 98 105 112 118 125 128 140 151 157 174 203 240 285 343 418 536 687 850 917 947 983 1021 1014 981 1133 1262 1286 1298 1358
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