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 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 6 7 8 10 10 11 11 11 10 10 9 9 7 6 5 4 4 5 6 6 5 5 5 5 6 7 7 6 5 4 4 5 5 4 3 2 3 5 6 7 8 9 9 9 10 10 9 9 9 8 8 7 7 7 7 8 7 7 7 7 6 6 7 7 8 8 9 8 8 7 7 7 6 6 7 7 7 7 6 6 6 6 5 5 5 5 6 nan
nan 4 3 3 3 2 2 3 3 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 7 8 9 10 12 13 14 14 14 14 14 14 13 10 8 5 4 4 4 5 6 5 4 4 5 6 6 6 6 6 5 5 5 5 5 5 4 3 5 6 7 8 9 9 9 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 6 nan
nan 4 4 3 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 8 8 9 9 10 12 14 15 15 15 15 16 16 16 17 17 17 15 12 8 6 5 4 4 5 6 5 4 4 5 6 6 6 6 6 6 6 6 6 5 4 4 4 5 7 8 9 9 9 9 8 8 8 8 8 9 9 9 9 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 6 6 6 6 nan
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nan 8 7 7 7 7 7 7 6 6 7 7 7 7 7 7 8 8 8 8 7 7 7 6 6 7 7 8 8 8 8 8 8 7 7 7 6 7 7 8 8 7 7 7 6 6 7 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 8 9 8 6 4 2 1 1 2 4 5 7 8 8 7 6 5 5 5 6 6 6 7 8 9 8 7 6 6 4 1 -1 -0 2 3 4 5 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 nan
nan 8 8 8 8 8 9 8 7 7 7 7 7 7 7 7 8 8 7 8 8 8 7 6 6 6 7 7 8 8 8 9 8 8 8 7 7 7 7 8 8 8 7 7 6 6 7 8 8 8 7 7 7 8 8 8 7 7 7 7 7 8 9 9 9 7 5 3 1 1 2 3 6 8 9 8 7 6 5 4 4 5 6 6 6 7 8 8 8 7 7 5 4 3 2 2 3 4 6 8 9 8 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 nan
nan 8 8 9 10 10 9 8 7 6 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 7 7 7 8 8 9 9 8 8 8 8 7 7 8 8 8 7 6 6 6 7 8 8 7 7 7 7 8 8 8 7 7 7 7 8 9 9 10 10 8 5 3 1 1 2 4 6 8 10 9 7 5 4 3 3 4 5 6 6 7 7 7 8 8 6 5 5 5 4 3 3 6 9 11 10 9 7 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 nan
nan 8 9 10 9 8 8 7 6 6 6 7 8 8 8 7 7 7 7 8 9 9 9 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 9 10 10 10 8 5 3 1 2 3 4 6 9 10 9 7 6 4 3 3 4 5 6 6 6 7 7 8 7 5 4 6 6 6 5 5 8 11 12 11 9 5 3 3 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 nan
nan 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 9 10 10 10 10 9 9 9 8 7 7 7 8 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 8 7 7 8 9 10 11 10 9 8 5 2 2 3 4 5 7 8 9 8 7 6 5 4 3 4 6 6 7 7 7 8 8 6 3 4 5 6 6 6 8 10 11 11 10 7 3 1 3 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 nan
nan 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 10 11 11 10 9 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 8 8 8 7 7 7 7 8 9 9 8 7 7 7 7 7 9 10 11 11 10 9 6 3 1 2 4 6 7 8 8 8 7 6 6 5 4 4 5 6 6 7 7 7 8 7 4 3 4 5 6 7 8 9 10 10 9 8 5 2 3 5 6 6 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 nan
nan 6 7 8 9 9 8 7 8 8 8 8 9 9 9 9 9 9 8 7 7 8 8 9 9 8 7 7 6 7 8 8 6 5 5 6 7 7 8 8 9 10 10 9 9 8 7 7 7 8 9 9 9 8 7 6 6 6 8 10 11 11 11 10 8 5 2 1 2 4 7 8 9 8 7 6 6 5 5 4 4 5 6 6 7 7 8 7 5 4 4 5 5 6 7 9 10 10 9 8 7 5 5 6 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 8 9 9 7 7 7 8 8 9 9 9 10 10 10 10 9 9 9 8 7 7 6 6 6 6 5 4 5 6 7 7 6 5 5 6 7 8 8 9 10 10 10 9 9 8 7 8 8 10 10 9 8 7 6 5 6 8 10 11 11 11 9 7 3 1 1 3 5 7 9 9 8 7 6 5 6 6 5 5 5 6 6 7 8 8 6 4 3 4 5 6 6 7 8 9 10 9 8 7 7 8 9 8 7 6 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 8 8 8 nan
nan 8 8 8 6 5 5 6 8 8 8 9 9 9 9 9 9 10 11 11 10 8 7 6 5 5 5 5 5 4 5 6 7 8 7 6 6 7 8 9 9 9 10 10 10 9 8 8 8 9 10 10 9 8 7 7 6 7 9 10 11 11 10 8 5 2 1 2 4 6 8 8 8 7 6 6 6 6 6 6 5 6 6 7 7 8 7 5 4 3 4 6 6 6 7 8 10 10 9 8 7 8 9 9 8 7 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 7 6 4 4 4 6 7 8 8 8 8 8 8 8 9 10 10 11 11 10 9 8 7 6 6 6 6 4 4 5 6 8 8 7 7 8 9 9 9 10 10 10 9 9 8 8 9 10 10 10 9 9 8 8 7 7 9 10 11 10 8 5 2 1 2 4 5 6 8 8 8 7 6 6 6 6 6 6 6 7 7 7 7 6 5 4 4 4 5 6 6 7 8 10 11 10 8 7 7 7 8 8 8 8 8 9 9 9 9 10 11 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 7 5 4 5 6 7 7 8 8 8 7 8 8 8 8 9 9 9 10 11 11 10 10 9 8 7 6 5 4 4 4 6 7 7 7 8 9 10 10 10 10 10 9 8 8 8 9 10 10 10 9 9 8 8 8 8 9 11 10 9 6 2 0 2 4 5 6 7 8 8 7 6 6 6 6 6 5 5 6 7 8 8 6 5 4 4 5 6 6 6 7 8 9 11 11 9 6 6 6 6 7 7 7 6 7 8 9 10 11 13 15 16 15 13 10 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 nan
nan 9 8 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 9 10 11 11 12 11 10 8 7 6 5 4 4 4 5 6 6 7 8 9 10 11 11 10 9 8 8 8 9 10 10 10 9 9 8 8 8 9 10 11 10 8 3 -0 -0 2 5 6 6 7 8 8 6 6 6 7 6 5 5 5 7 8 8 8 6 5 5 5 6 7 7 7 7 9 10 10 9 5 4 5 5 6 6 6 5 6 7 8 9 11 12 14 16 16 14 11 7 5 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 nan
nan 10 9 8 8 8 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 10 11 12 12 12 11 9 8 6 5 4 4 5 5 6 7 8 9 9 10 11 11 10 9 9 9 9 10 10 9 9 8 8 9 9 10 11 11 10 6 1 -1 0 3 5 7 7 8 8 7 6 6 6 8 7 5 5 5 7 9 9 8 6 6 6 7 7 7 7 7 8 9 9 9 6 4 4 6 6 7 6 6 6 8 9 9 9 10 10 11 12 11 8 4 0 1 5 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 nan
nan 9 9 8 9 8 8 7 7 8 8 7 7 7 6 6 6 7 7 7 8 8 9 10 11 12 13 13 12 11 9 7 6 5 5 5 5 6 7 8 8 9 10 10 10 10 10 10 9 9 9 9 8 8 8 9 10 10 11 10 8 3 0 -0 1 3 6 7 8 8 7 7 6 6 7 7 6 5 5 6 7 8 8 8 7 6 7 7 8 7 7 8 8 9 9 7 5 5 6 7 7 7 7 7 8 10 10 9 8 8 8 8 8 7 3 -2 -4 1 5 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 nan
nan 9 9 9 9 8 7 7 8 8 8 7 7 6 5 4 4 5 6 7 7 8 8 9 9 10 12 13 13 12 11 9 7 6 5 5 5 6 7 7 7 8 9 9 10 11 11 11 10 9 8 8 8 8 8 9 9 10 10 8 5 1 0 1 3 5 7 8 8 8 7 6 6 6 7 7 6 6 6 7 7 8 8 8 7 7 7 7 7 7 7 8 8 8 7 6 6 7 7 8 8 8 8 8 9 10 10 9 8 8 8 8 7 5 1 -3 -1 4 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 9 9 9 8 8 8 9 9 8 8 7 7 6 5 4 4 5 6 7 7 7 7 8 8 9 10 11 11 12 11 10 9 7 6 5 5 6 7 7 7 7 8 8 9 11 11 11 11 10 9 8 8 8 8 8 9 9 8 6 3 1 1 3 5 7 9 9 9 7 6 5 5 6 7 7 7 8 7 7 6 7 8 8 8 7 7 7 7 7 7 7 7 6 5 6 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 6 4 1 0 5 10 13 12 11 10 9 9 9 9 9 9 9 9 9 9 8 8 nan
nan 8 8 8 8 9 10 10 10 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 7 8 9 9 10 11 11 12 11 9 7 6 6 6 7 8 8 8 8 8 9 10 11 12 12 11 10 10 9 9 8 8 8 7 6 5 3 2 3 6 8 10 11 10 9 7 6 5 6 7 8 8 8 8 6 5 6 7 9 9 8 7 7 7 7 7 7 6 5 5 5 6 7 8 8 8 8 9 9 9 9 9 8 7 8 8 8 8 6 5 5 8 14 17 16 14 12 11 11 10 10 10 9 9 9 9 8 8 8 8 nan
nan 8 8 8 9 10 11 10 10 9 8 7 7 7 7 7 7 6 5 5 5 5 5 5 6 6 7 8 9 10 11 12 11 10 8 7 6 6 8 8 8 8 8 8 9 9 10 11 11 11 11 10 9 9 8 8 7 7 6 5 5 5 6 9 11 12 11 10 9 7 7 7 9 9 9 9 7 6 5 5 7 8 9 9 8 7 6 6 6 7 7 7 6 6 7 7 8 8 8 9 9 9 9 9 9 9 8 8 9 9 8 7 7 8 10 15 18 18 16 14 14 13 11 10 9 9 9 8 8 8 8 8 8 8 nan
nan 9 9 9 10 10 10 9 8 8 7 7 7 7 7 7 7 6 6 6 6 7 6 6 6 6 6 7 7 8 9 10 11 10 9 7 6 6 7 8 8 8 8 8 8 8 8 9 10 11 11 10 10 10 9 8 7 7 7 6 5 7 9 10 11 11 10 9 8 8 9 9 10 10 10 8 6 5 5 6 8 8 8 7 6 6 5 5 6 8 9 8 8 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 12 14 14 13 12 13 13 12 10 8 7 7 7 7 7 7 8 8 8 8 nan
nan 9 9 9 9 8 8 8 7 7 6 6 7 7 8 8 7 7 7 7 7 8 8 8 7 6 6 6 5 5 6 7 9 10 10 9 7 7 7 7 7 7 7 7 7 6 6 7 9 11 11 10 10 9 9 8 7 7 7 5 6 8 10 10 10 9 8 8 9 10 10 10 10 10 9 7 6 5 6 7 8 6 5 4 5 5 4 6 8 9 9 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 10 10 10 9 9 9 10 10 8 6 4 5 6 6 7 7 8 8 8 8 9 nan
nan 8 8 8 8 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 7 7 8 8 8 7 7 6 6 5 5 5 7 8 9 9 9 8 7 7 7 7 7 7 7 6 5 5 7 8 9 10 10 9 8 7 7 7 6 5 6 8 10 10 9 8 8 8 10 11 10 10 10 9 8 6 5 6 7 8 7 5 4 4 5 4 5 6 8 8 8 7 7 7 7 8 10 10 9 9 9 9 9 9 9 9 9 9 10 11 12 11 10 9 8 8 7 6 5 5 4 2 -0 -0 3 5 6 7 8 8 8 9 9 9 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 7 6 6 6 7 7 7 7 7 7 6 6 6 6 7 8 9 8 8 7 8 8 8 8 7 6 5 4 5 6 8 9 9 9 8 6 6 5 5 5 6 8 9 9 9 8 8 9 10 10 9 9 9 9 8 7 6 7 8 8 6 5 5 6 6 6 6 7 7 6 6 7 6 7 8 10 10 9 9 9 10 10 9 9 9 9 9 10 11 13 13 11 9 8 8 8 6 3 0 -1 -2 -4 -6 -2 3 6 7 8 8 9 9 9 9 9 nan
nan 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 7 5 5 6 6 7 7 8 8 9 8 7 6 6 6 8 9 8 7 8 8 9 9 9 8 7 6 5 5 6 8 9 9 9 8 6 5 5 4 4 5 6 7 8 8 8 8 8 8 9 8 9 9 9 8 8 8 9 9 8 7 7 7 9 9 9 9 8 7 7 7 7 7 7 9 10 9 8 9 9 10 10 10 10 9 9 9 11 13 13 12 10 8 7 8 8 5 1 -1 -1 -1 -2 -2 2 6 7 8 9 9 9 9 9 8 8 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 6 6 6 7 8 8 9 10 10 9 8 8 7 7 8 9 8 7 7 8 9 9 9 8 7 6 5 6 7 8 9 9 9 8 8 7 6 5 4 3 3 4 6 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 8 9 10 11 10 9 8 8 8 8 7 7 7 8 8 8 8 9 10 11 11 11 10 9 9 10 12 12 11 9 7 6 6 7 6 4 4 5 7 7 6 6 7 8 8 9 9 9 9 8 8 8 8 nan
nan 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 9 10 10 10 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 7 8 8 9 9 10 10 10 10 9 8 6 5 4 4 5 6 6 7 7 7 6 6 6 7 8 7 8 8 9 8 8 7 8 10 10 11 10 9 8 9 10 9 7 7 7 7 7 8 9 9 10 11 11 10 9 9 9 11 11 10 8 6 6 6 6 6 5 6 8 11 13 11 9 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 10 10 10 10 10 10 10 10 9 9 8 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 10 11 11 11 11 10 9 8 7 7 6 6 6 7 6 5 5 6 6 6 6 7 7 7 7 7 7 8 9 10 9 9 8 9 10 10 9 8 8 9 9 9 9 9 9 9 10 10 9 9 9 10 10 9 8 7 7 8 9 8 8 9 9 10 12 11 9 6 5 6 7 8 8 8 8 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
51 43 36 29 26 23 26 22 21 17 15 17 21 25 27 31 35 36 36 36 36 38 42 46 52 61 71 77 80 85 91 82 72 73 71 66 61 54 51 49 48 52 54 55 63 82 103 124 147 179 222 258 270 291 240 164 105 67 43 33 31 30 23 13 5 5 3 5 4 3 3 3 3 3 5 5 4 4 4 4 4 3 4 14 48 113 197 274 280 262 244 202 160 101 62 55 60 60 56 70 103 107 79 56 46 41 40 41 43 51 66 82 121 189 261 316 322 308 295 273 235 206 202 210 196 166 137 114 95 80 66 51 39 36 38
46 39 32 30 28 29 30 28 25 20 18 20 24 25 27 33 41 41 44 44 47 56 72 88 99 107 114 112 113 118 125 115 102 96 87 76 66 58 55 58 58 69 72 70 74 88 108 134 165 207 267 356 395 488 436 325 216 134 81 48 30 25 16 18 20 10 5 4 4 4 4 4 4 5 6 6 6 7 7 5 4 4 8 29 72 125 207 303 387 321 284 251 211 168 137 108 83 79 60 53 79 103 102 76 57 49 45 48 49 56 70 93 118 167 220 255 253 228 204 185 165 165 173 191 198 184 157 134 118 104 91 73 43 33 35
43 41 41 40 36 39 43 35 27 23 20 21 25 26 30 35 44 52 62 76 94 112 127 139 140 137 147 145 150 158 161 155 142 126 110 98 92 86 83 89 95 108 120 121 127 138 151 166 192 238 296 398 500 640 614 488 337 213 133 76 40 23 30 34 17 7 4 4 4 4 5 6 8 11 11 9 11 18 18 16 12 8 14 39 86 147 199 288 433 393 338 302 270 244 227 203 169 138 98 70 71 97 118 102 74 66 60 62 67 73 84 96 119 150 176 192 188 166 141 122 124 125 124 140 163 174 164 143 126 113 105 104 68 46 39
59 62 62 61 57 64 63 41 26 23 22 22 27 31 36 40 45 64 88 115 136 153 167 177 181 181 202 205 205 206 204 198 188 177 173 175 168 159 152 159 179 204 229 248 274 294 296 288 291 343 415 492 583 693 695 610 454 295 189 111 70 36 41 48 37 17 8 8 8 7 8 11 14 17 22 22 28 39 36 31 25 14 16 43 84 171 238 331 429 447 416 392 377 365 370 356 304 237 167 114 88 100 122 121 101 85 78 79 87 101 111 121 131 138 147 153 146 127 114 91 84 91 91 98 117 137 146 140 127 118 111 120 100 79 63
73 81 93 101 99 94 75 42 29 29 27 27 38 53 63 76 85 90 110 142 164 178 194 211 234 266 320 314 287 273 270 266 263 267 282 295 296 292 297 313 359 418 510 603 666 697 694 625 550 550 627 677 661 666 622 577 484 334 221 134 91 75 50 38 47 39 28 27 26 24 29 34 58 55 46 46 57 56 48 39 27 14 16 41 73 113 245 400 544 595 579 589 619 644 650 593 498 389 281 206 158 131 113 96 85 83 86 92 106 119 122 124 123 119 115 112 107 97 87 70 57 65 73 79 90 104 119 131 125 124 120 118 107 87 68
100 114 130 137 133 118 87 54 47 54 53 63 84 103 116 127 138 142 156 179 201 226 258 290 321 358 397 376 346 335 344 353 364 390 423 454 495 537 568 624 674 734 867 1027 1141 1185 1164 1067 928 749 678 578 454 402 381 376 361 297 228 166 123 119 75 72 96 87 69 67 71 72 74 71 102 99 89 79 69 63 53 36 20 11 18 45 92 165 277 460 692 827 848 908 993 1043 1027 913 768 610 486 397 301 188 95 69 64 73 82 93 106 113 112 107 101 95 90 81 76 73 69 63 57 58 67 78 91 97 101 118 120 125 120 113 115 115 96
130 148 163 168 157 135 107 86 85 91 96 112 131 144 156 170 187 191 214 248 279 320 370 412 418 384 351 357 372 391 423 454 479 522 586 659 703 780 823 928 928 884 886 952 1040 1105 1082 961 805 639 461 293 173 132 148 182 216 233 220 202 138 149 136 125 126 127 123 124 130 130 112 108 123 127 109 76 46 37 38 25 13 16 30 63 134 243 364 571 807 944 1023 1187 1391 1528 1509 1331 1119 944 821 687 485 259 116 79 74 87 96 104 108 111 112 102 89 106 110 89 76 75 74 72 73 81 89 98 116 125 134 138 144 143 132 130 143 159 148
144 162 183 189 174 148 126 116 113 114 120 131 147 165 180 202 221 245 282 321 358 399 443 463 449 406 386 396 421 453 493 525 535 547 566 589 617 672 674 706 742 702 617 566 562 585 569 498 358 289 211 131 71 42 45 66 102 144 157 187 167 170 167 163 160 160 162 158 147 144 127 110 90 65 42 27 14 9 16 13 12 29 51 86 155 249 432 688 881 980 1083 1309 1555 1635 1706 1670 1540 1372 1187 997 680 383 237 186 176 187 194 200 208 209 212 210 227 232 206 166 140 130 127 127 132 150 169 166 181 202 221 235 238 228 209 202 205 213 202
194 206 225 227 204 169 137 120 114 110 119 117 141 179 211 236 267 301 335 373 412 438 447 443 448 437 448 455 463 474 482 480 470 475 476 453 420 438 463 483 493 477 432 377 326 256 227 228 190 163 140 115 80 47 33 34 51 74 93 133 157 181 199 198 181 171 166 147 120 114 100 74 46 24 11 7 6 7 12 10 14 35 58 95 167 253 432 752 1036 1174 1200 1414 1617 1634 1670 1790 1823 1672 1472 1308 981 714 578 505 483 491 484 477 510 533 475 390 361 367 355 321 284 260 253 260 283 280 301 307 324 337 337 336 347 353 330 307 290 279 262
265 288 300 286 237 182 139 120 117 112 124 126 160 200 228 251 285 316 340 367 398 425 435 433 452 454 459 452 435 417 402 391 390 404 406 398 389 384 392 405 406 395 366 293 238 155 136 144 142 128 113 98 76 48 39 44 48 54 64 87 110 147 171 161 142 124 113 98 87 80 55 35 22 12 7 5 8 13 13 10 14 36 64 119 232 402 629 915 1212 1352 1360 1477 1611 1706 1796 1832 1795 1691 1653 1568 1422 1288 1176 1141 1096 1018 944 836 780 761 755 668 597 595 590 561 520 479 454 422 426 412 450 492 512 512 502 492 494 483 457 415 387 364 348
387 412 380 326 249 186 150 131 125 123 134 137 163 202 225 246 276 297 309 333 358 389 418 436 455 452 431 393 362 345 327 320 333 342 354 377 383 379 382 369 335 317 302 219 174 135 111 92 76 63 52 43 28 16 24 38 38 37 42 51 61 87 111 102 79 55 46 59 61 54 35 22 15 10 9 9 15 28 24 17 22 49 97 200 384 635 937 1092 1265 1332 1312 1309 1367 1455 1545 1671 1787 1716 1643 1671 1689 1675 1687 1680 1519 1329 1189 1048 1046 1163 1169 1001 903 918 926 892 853 795 717 596 545 597 667 693 705 723 721 692 654 634 609 557 514 477 442
575 502 374 290 222 177 155 136 120 122 147 154 173 189 201 219 251 282 304 331 366 406 438 455 450 431 398 362 369 415 414 363 331 331 351 382 366 331 314 287 248 232 212 150 112 86 60 38 21 9 4 5 4 4 9 15 17 18 21 26 33 45 54 49 40 36 34 55 52 38 27 19 14 13 15 14 18 43 49 39 42 73 146 317 626 885 1037 1056 1083 1060 988 934 970 1095 1297 1589 1834 1822 1691 1650 1669 1657 1591 1484 1369 1260 1181 1273 1355 1401 1321 1271 1315 1338 1288 1219 1170 1035 922 867 898 924 881 859 902 942 931 890 871 840 798 745 688 633 583
471 342 245 195 166 149 139 129 113 118 145 146 144 153 170 196 230 268 308 346 390 437 479 471 451 430 413 419 456 499 498 477 405 302 233 169 133 144 171 190 190 166 133 89 58 27 13 7 3 2 2 2 3 3 4 6 8 9 11 15 19 22 24 28 33 46 60 69 54 35 26 21 17 16 17 16 21 44 54 50 68 126 236 437 702 831 813 783 749 694 630 595 629 747 894 1113 1364 1444 1418 1428 1481 1511 1490 1410 1374 1447 1438 1419 1409 1469 1597 1757 1796 1666 1581 1511 1492 1471 1419 1282 1126 1002 982 1065 1144 1155 1119 1101 1077 1040 1000 947 889 835 776
272 223 186 154 125 107 99 95 91 95 104 106 108 129 163 204 247 285 320 373 429 475 500 492 484 454 431 430 422 397 350 306 226 140 86 61 57 61 71 91 107 103 79 47 25 8 4 6 8 12 12 6 5 5 6 7 8 10 11 12 12 13 11 18 24 45 64 66 53 39 29 23 22 20 20 27 31 43 54 69 115 204 301 423 497 535 542 534 503 455 427 438 462 514 528 526 631 700 776 891 1005 1097 1224 1408 1236 1225 1120 1079 1138 1295 1487 1694 1868 1776 1754 1586 1554 1610 1656 1514 1304 1226 1253 1313 1294 1261 1244 1239 1221 1203 1169 1102 1031 1005 965
156 178 189 174 134 80 50 39 40 45 53 66 85 128 187 252 314 364 408 469 517 539 549 525 483 447 425 399 350 290 220 160 91 44 27 24 22 17 15 18 20 21 25 18 11 10 13 13 13 13 7 7 7 7 8 9 10 11 11 11 12 12 10 13 19 36 51 58 58 53 43 47 41 39 35 35 49 69 98 144 206 270 310 337 353 360 369 394 396 370 366 401 421 418 390 379 325 313 356 428 505 582 666 645 733 807 790 788 846 950 1064 1106 1127 1117 1085 1047 1042 1058 1067 1055 1053 1073 1172 1242 1216 1237 1263 1259 1260 1297 1307 1258 1199 1166 1121
74 57 65 107 140 116 39 10 6 18 46 86 132 189 246 296 346 411 470 527 554 546 515 470 441 444 454 427 334 225 145 78 34 16 12 9 4 0 0 0 1 2 4 5 7 9 11 11 10 8 4 8 7 8 9 9 8 8 9 11 13 14 14 17 20 25 34 50 71 72 61 69 62 61 64 61 79 108 148 217 277 287 278 265 273 284 291 308 325 330 346 390 419 410 381 353 332 330 343 353 355 375 474 557 584 595 608 626 636 636 624 504 519 576 555 532 555 587 603 613 682 769 826 906 975 1045 1113 1223 1374 1468 1518 1442 1359 1310 1262
83 65 32 38 107 181 103 39 18 58 121 179 269 322 312 310 341 353 403 472 494 478 452 448 470 494 484 405 250 129 64 23 6 3 3 2 1 0 0 0 0 0 1 2 2 4 5 5 8 4 7 6 5 5 6 4 3 2 3 4 8 11 13 14 16 17 23 41 66 64 56 58 58 56 57 63 82 118 164 215 241 228 227 237 260 273 267 259 267 284 299 351 378 386 398 412 427 426 399 367 329 316 341 344 388 431 461 484 503 524 539 552 541 505 483 469 468 484 507 526 541 570 607 652 717 798 920 1108 1275 1361 1460 1372 1314 1301 1331
90 91 76 65 87 162 149 135 188 152 150 145 204 271 285 275 276 310 352 424 462 458 470 516 539 492 401 258 112 45 16 4 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 3 4 4 4 4 3 1 0 0 0 0 2 3 3 1 4 7 10 20 35 38 36 34 33 31 33 37 49 85 127 152 154 168 180 195 215 228 230 228 240 250 249 276 296 317 337 356 374 375 321 267 219 231 285 353 394 406 414 435 471 513 526 515 483 452 433 429 434 441 446 432 440 454 463 481 517 561 608 677 789 899 967 1043 1147 1335 1513
50 99 118 86 61 86 87 104 126 92 64 51 97 154 184 231 236 271 413 485 499 508 559 609 559 404 239 95 26 7 2 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 1 0 0 0 0 0 0 0 0 1 1 1 2 3 8 17 19 18 17 19 22 26 29 31 47 75 94 113 129 133 136 142 156 169 180 213 229 224 226 232 239 243 242 239 246 220 198 186 215 267 340 397 414 418 434 456 459 466 472 451 420 399 381 360 370 385 384 388 395 394 396 412 435 469 501 548 613 673 733 825 960 1138
22 44 61 53 36 26 20 21 10 12 22 57 119 163 165 197 258 350 456 496 513 519 550 547 440 271 104 25 3 0 0 2 2 2 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 1 1 2 3 8 11 10 11 11 13 18 24 25 21 25 47 72 101 107 97 93 107 127 140 162 196 214 204 188 175 161 149 146 144 154 161 171 181 196 219 260 304 335 352 366 363 353 357 371 378 367 352 334 327 327 329 331 335 341 341 333 343 363 376 402 415 417 414 415 422 436 421
7 15 20 15 12 17 20 10 2 1 20 63 115 150 158 170 265 366 446 461 484 509 489 412 299 155 33 7 1 0 1 3 3 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 1 0 0 0 1 1 2 3 8 6 7 8 9 10 15 22 24 23 22 38 58 71 71 61 56 75 104 109 130 161 177 165 136 109 90 79 78 80 84 92 101 112 125 142 159 177 199 211 212 191 178 177 180 190 209 225 228 242 240 239 245 251 253 253 243 250 260 246 238 240 251 255 254 261 259 268
17 27 26 37 39 42 31 11 3 6 30 71 122 156 129 137 261 259 253 299 384 449 432 317 182 76 10 1 0 1 2 3 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 1 1 1 1 1 1 1 2 2 5 6 5 6 8 10 15 22 23 24 24 29 35 35 30 26 25 31 43 58 77 99 113 105 80 55 39 36 37 34 30 34 39 43 48 56 68 80 84 85 77 57 42 37 31 26 42 72 89 97 105 117 130 141 152 162 159 158 158 144 133 127 128 137 147 150 151 180
43 67 50 60 40 26 13 4 4 15 44 73 74 46 37 125 180 151 179 269 352 388 339 181 65 22 3 0 0 1 2 2 2 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 1 1 0 1 1 1 2 3 4 3 4 6 10 17 19 19 20 21 20 18 16 14 13 15 18 20 26 36 50 56 49 37 29 26 23 19 19 18 17 18 18 18 19 18 23 18 19 15 8 3 2 1 0 0 7 16 18 22 31 41 51 65 77 75 66 61 57 51 48 47 42 38 34 37 50
31 54 31 21 9 3 1 7 22 27 31 38 27 10 27 98 139 170 234 316 347 301 203 76 16 3 1 1 2 2 2 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 1 1 1 1 1 1 1 0 1 1 1 1 1 3 6 9 15 12 10 10 9 8 8 8 9 11 13 11 13 16 20 24 25 21 18 15 11 12 10 9 8 8 9 8 5 4 5 5 3 2 1 0 0 0 0 0 0 0 1 2 3 7 10 11 11 18 16 12 10 9 7 9 16 9 7 5 6 9
9 15 8 1 0 0 1 6 12 11 7 7 4 4 22 54 107 205 287 307 264 176 75 16 2 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 1 4 5 4 3 2 1 1 1 2 4 7 9 12 12 12 13 15 16 15 13 11 8 6 2 1 1 1 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 9 7 4 2 2 2 2 2 2 2 2 4 5 7 8
5 4 1 0 2 2 2 2 2 2 1 1 1 1 4 17 66 166 192 154 110 56 17 3 2 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 1 1 0 0 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 2 4 5 8 9 9 10 11 10 9 7 5 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 1 4 6 6 5 4 3 3 3 3 3 3 4 5 7 11 12
5 3 0 0 2 5 3 1 1 1 1 1 1 1 1 1 53 92 78 40 18 7 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 1 0 0 0 0 0 0 1 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 1 1 2 3 5 7 8 8 6 4 2 1 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 1 2 3 4 4 4 4 4 4 4 4 5 5 7 8 10
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