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 3 3 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 9 9 8 6 4 3 3 4 4 5 5 6 7 8 8 7 6 6 6 6 6 6 6 5 6 6 6 7 7 7 7 7 7 8 7 6 5 6 6 7 8 8 6 6 5 5 5 5 6 6 6 6 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 7 7 7 7 7 7 6 6 6 7 nan
nan 3 3 3 4 4 4 4 4 4 4 4 3 3 3 3 2 3 3 3 3 2 3 3 3 4 4 4 4 4 5 6 6 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 7 6 5 5 5 5 6 6 7 8 9 7 6 6 6 6 6 6 6 5 5 5 6 6 6 7 7 7 7 7 7 6 5 5 6 8 9 10 10 9 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 nan
nan 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 7 7 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 7 8 10 11 9 7 5 6 6 6 6 6 5 5 5 5 5 6 6 7 6 5 5 4 4 3 4 6 8 9 9 10 11 11 11 12 11 11 11 11 11 10 10 9 8 7 7 6 6 6 5 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 3 3 4 4 4 4 4 4 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 6 7 7 8 8 8 7 7 7 8 8 8 8 7 7 6 6 6 7 7 7 6 6 6 6 7 8 10 12 12 11 7 6 6 6 6 6 5 5 5 5 5 5 5 6 5 5 4 3 2 1 2 4 6 8 8 8 9 10 11 11 12 13 13 14 14 14 15 14 14 12 11 11 9 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 nan
nan 3 3 4 4 5 4 4 3 3 3 4 4 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 8 8 7 7 7 7 8 8 8 7 6 6 6 6 7 8 8 8 7 7 7 8 9 11 12 12 10 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 4 3 2 1 0 3 5 6 7 7 6 6 7 8 9 9 10 11 12 13 15 16 17 17 17 17 17 14 10 8 7 7 7 7 7 7 6 7 7 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 nan
nan 3 4 4 5 5 4 3 3 3 3 4 5 5 5 5 5 5 5 6 6 7 7 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 7 8 9 9 9 9 9 9 9 10 12 12 11 8 7 7 7 7 7 6 6 5 6 6 6 6 5 5 4 4 3 2 1 1 3 5 5 6 6 5 5 5 5 7 8 9 10 10 11 13 14 15 16 17 19 20 17 14 12 11 10 10 10 10 9 8 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 nan
nan 4 4 5 5 5 4 4 3 3 4 4 5 5 6 6 6 6 6 7 8 8 8 8 7 7 7 7 7 6 6 6 6 7 7 7 7 8 7 7 7 7 7 7 8 8 9 9 9 10 10 11 11 11 10 9 9 10 12 13 11 8 7 7 7 7 7 7 6 6 6 6 6 5 5 5 4 4 4 3 2 2 3 4 5 5 5 4 4 4 5 8 10 11 11 10 10 11 12 12 12 13 17 18 17 16 15 14 13 13 12 12 12 12 11 11 10 9 9 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 nan
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nan 7 7 7 8 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 10 11 11 11 12 12 12 12 12 12 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 7 6 7 8 7 6 6 7 8 8 8 7 7 8 7 6 4 1 -1 -0 3 5 6 5 4 4 6 8 9 10 10 9 9 8 8 7 6 7 7 8 8 7 7 7 7 6 7 7 7 8 7 8 9 13 19 24 27 26 24 23 22 21 20 20 21 21 20 17 14 12 12 12 12 nan
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nan 7 7 7 6 6 7 7 7 6 5 4 4 5 6 7 8 8 8 8 8 8 8 8 7 7 6 6 7 7 8 9 8 8 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 9 8 8 8 8 7 7 8 8 8 7 5 2 -2 -4 -2 2 6 7 7 7 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 7 7 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 nan
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nan 9 8 9 9 10 10 8 7 6 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 5 5 6 7 8 8 8 8 8 9 9 10 9 9 8 8 8 9 10 11 11 9 7 4 2 1 2 4 6 8 9 10 10 9 8 8 7 7 7 6 6 6 6 7 7 7 7 7 6 5 5 5 5 6 7 8 10 11 11 9 7 6 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 nan
nan 8 9 10 11 11 10 8 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 6 6 5 6 6 8 8 8 8 8 8 9 9 10 9 9 8 8 9 10 11 11 11 9 6 4 2 1 2 4 6 8 9 10 10 9 8 7 7 6 6 6 6 6 6 6 7 7 8 7 6 6 7 6 5 6 8 11 13 13 12 9 7 6 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 nan
nan 9 10 11 10 10 8 6 5 5 6 7 7 8 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 6 6 6 6 8 9 8 8 8 8 8 9 10 9 9 8 8 8 9 10 12 12 10 8 6 3 1 2 3 5 7 8 9 10 9 8 8 7 6 6 6 6 6 6 6 6 7 8 8 5 5 6 7 6 6 7 10 13 14 13 11 8 6 5 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 nan
nan 10 10 9 8 8 7 6 5 6 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 10 9 9 9 8 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 9 9 9 8 8 8 8 9 9 9 9 8 8 9 10 11 12 12 10 8 5 2 1 2 4 6 7 8 9 9 9 8 8 7 7 6 6 6 6 6 6 6 7 8 6 4 4 6 7 7 7 9 11 12 12 11 9 6 4 5 7 7 7 7 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 nan
nan 9 8 8 8 8 8 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 10 10 10 9 9 9 9 9 8 8 7 6 7 7 7 7 6 6 7 7 8 8 9 10 10 9 8 8 8 9 10 10 9 8 8 8 9 11 12 12 11 9 7 4 2 1 3 5 7 8 9 9 9 8 8 8 8 7 6 6 6 6 6 6 7 8 7 5 4 5 6 7 7 9 10 11 10 10 8 6 4 5 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 nan
nan 9 9 9 9 9 7 6 6 6 7 7 8 8 8 8 8 7 7 7 7 8 8 9 8 8 7 7 7 8 8 8 7 6 5 5 6 6 6 6 7 8 9 9 10 10 9 9 9 9 10 11 11 10 9 8 7 8 9 11 12 12 10 8 5 3 1 2 3 5 7 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 8 8 6 5 5 6 6 7 8 9 10 10 9 8 7 6 6 7 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 nan
nan 9 10 10 9 7 6 5 6 7 7 8 8 9 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 8 7 6 6 5 5 6 6 6 7 8 9 10 10 10 9 9 9 10 11 12 12 11 9 8 8 8 10 12 12 11 9 6 4 2 1 2 4 6 7 8 8 8 7 8 8 8 8 7 7 6 6 6 6 7 8 7 5 4 5 6 7 7 8 9 10 10 9 8 7 7 8 9 9 8 8 8 9 9 9 8 8 8 9 9 9 9 9 8 7 7 6 6 7 7 7 7 8 8 8 8 8 8 nan
nan 9 9 8 7 5 4 5 6 7 8 8 9 9 8 8 9 9 10 10 9 8 7 7 6 6 6 6 6 5 6 7 8 8 7 6 6 6 6 6 7 8 9 10 10 10 9 9 9 10 12 12 12 11 10 10 9 10 11 12 12 11 8 5 2 1 2 3 4 6 7 8 8 7 7 8 8 8 8 7 7 6 6 6 7 7 7 6 4 4 5 6 7 7 7 9 10 10 9 8 7 8 9 9 8 8 8 9 10 10 10 9 9 10 10 11 10 10 8 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 nan
nan 8 8 6 5 4 5 6 7 7 8 8 8 8 8 9 9 10 10 10 9 9 8 8 7 7 7 7 6 6 6 6 7 8 8 7 6 6 6 7 7 8 10 11 11 10 9 9 9 11 12 12 12 12 11 11 11 11 12 12 12 10 6 3 1 1 2 4 5 7 7 8 7 7 7 8 8 8 7 6 6 6 7 7 7 6 6 5 5 5 6 6 6 7 8 9 10 10 8 7 7 7 8 8 8 8 9 9 10 10 11 11 12 13 13 13 11 9 7 6 5 5 5 6 6 7 7 8 8 8 8 8 8 8 nan
nan 8 7 6 5 5 6 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 8 7 7 6 7 7 8 9 10 11 10 10 9 9 9 10 11 12 12 12 12 12 12 12 12 12 11 9 5 1 -0 1 3 5 6 7 8 8 7 7 7 8 8 7 6 5 6 6 7 7 7 6 5 5 5 6 6 6 6 7 8 10 10 8 6 6 6 6 7 7 7 7 7 8 9 10 12 13 15 16 15 14 11 8 5 4 4 4 5 6 7 8 8 8 8 8 8 8 8 8 nan
nan 9 8 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 7 8 9 10 10 10 9 8 8 9 10 11 11 11 11 11 12 12 12 13 12 10 8 3 0 -0 2 4 6 7 7 8 7 7 7 8 8 8 7 5 5 6 7 8 8 7 6 6 6 7 7 7 6 7 8 9 9 8 5 5 5 6 6 7 6 6 6 7 8 9 10 12 13 15 15 14 12 8 5 3 3 4 5 6 7 8 8 8 8 8 8 8 8 8 8 nan
nan 9 8 7 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 8 8 7 7 7 7 7 6 6 7 7 7 9 10 10 10 9 8 8 9 10 10 10 10 10 10 12 13 13 13 12 9 6 1 -1 0 2 5 7 8 8 8 7 7 7 8 9 8 6 5 5 6 7 8 7 7 7 7 7 8 7 7 7 7 8 8 7 5 4 5 6 6 7 7 6 7 8 9 9 9 9 10 11 11 11 9 6 2 1 2 4 5 7 8 9 9 9 9 8 8 8 8 8 8 7 nan
nan 8 8 8 8 9 8 8 8 8 9 8 8 7 6 6 6 6 6 6 7 7 7 7 7 8 9 9 10 9 9 8 8 7 7 6 6 6 6 6 6 8 9 10 9 9 9 9 9 10 10 9 9 9 10 12 13 14 13 11 7 2 -1 -1 1 4 6 8 8 8 7 7 7 7 8 8 7 6 5 6 6 7 8 7 7 7 7 8 8 7 7 7 7 8 7 6 5 5 6 7 7 7 7 7 8 9 10 9 9 8 8 8 8 7 4 1 -1 1 3 6 8 9 10 10 10 9 9 8 8 7 7 7 7 7 nan
nan 8 8 9 9 8 8 8 8 8 8 8 7 6 5 4 4 4 5 6 6 6 7 7 7 7 8 9 9 10 10 9 9 8 7 7 6 6 6 6 6 7 8 9 9 9 10 10 10 10 10 9 9 9 10 11 12 13 12 9 3 -0 -1 0 3 6 8 8 8 7 7 6 7 7 8 7 6 6 6 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 8 9 9 9 9 8 8 8 8 7 5 3 -0 1 4 8 10 11 11 11 10 10 9 8 7 7 6 6 6 6 6 nan
nan 8 8 8 8 8 8 9 9 8 8 7 7 6 6 5 4 4 5 6 6 6 6 6 6 7 7 8 8 9 9 10 9 9 8 7 7 6 6 6 6 6 7 8 9 9 10 11 11 10 10 9 9 9 10 10 10 11 9 5 1 -1 -1 2 6 8 10 10 9 7 6 5 6 7 7 7 7 7 7 6 6 6 8 8 8 8 7 7 7 7 7 7 6 6 5 5 6 7 7 7 8 8 8 8 9 9 9 8 8 8 9 8 7 5 3 2 6 10 13 13 13 12 11 10 9 8 7 6 6 5 5 5 6 6 nan
nan 8 8 7 7 8 10 10 10 9 8 8 8 7 7 7 6 6 6 5 5 6 6 6 6 6 7 7 8 8 9 9 10 10 9 8 8 8 7 7 6 6 6 7 9 9 10 10 10 10 10 10 10 9 10 9 9 9 7 4 1 1 2 6 9 11 12 11 9 8 7 6 6 7 7 8 8 7 6 5 6 7 9 9 9 8 7 7 7 7 6 6 5 5 5 6 6 7 7 8 8 8 8 8 8 8 8 7 8 8 8 8 7 6 6 9 13 16 16 14 13 12 11 9 8 6 5 5 4 4 5 5 6 6 nan
nan 8 8 8 9 10 11 11 10 8 8 8 8 8 8 8 7 7 6 5 5 6 6 6 6 6 7 7 7 8 8 9 10 10 9 8 8 8 8 8 7 6 6 7 8 9 9 9 9 10 10 10 10 10 10 9 9 8 6 4 3 4 7 10 12 12 12 11 10 9 8 8 8 8 9 8 7 6 5 5 6 8 9 9 8 7 7 6 6 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 10 14 16 16 14 13 13 12 10 8 6 5 4 4 4 4 5 6 6 7 nan
nan 9 9 10 11 11 10 9 8 7 7 7 7 8 8 8 8 7 6 6 6 6 6 6 6 6 6 7 7 7 7 8 9 10 9 8 8 8 9 8 8 6 6 6 7 8 8 8 9 9 9 9 10 10 10 9 8 7 6 5 5 7 10 12 12 11 10 9 9 10 10 10 10 10 9 8 6 5 5 6 8 8 8 7 6 6 5 5 6 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 9 11 13 13 12 11 12 12 11 8 6 4 3 3 3 4 5 5 6 7 7 nan
nan 9 9 10 10 9 8 8 7 7 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 8 9 8 8 8 9 9 8 7 6 6 7 7 7 7 8 8 9 9 9 10 9 9 8 7 6 6 6 9 11 12 11 9 8 8 10 11 11 11 11 10 9 7 6 5 6 7 7 6 5 4 5 5 5 5 7 8 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 9 9 9 9 9 9 8 9 9 9 8 6 3 3 3 3 4 5 5 6 7 7 7 nan
nan 8 9 9 8 8 7 7 7 7 6 6 6 7 8 9 9 9 8 8 8 7 7 7 7 6 6 7 7 7 6 6 6 7 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 6 6 7 9 11 11 9 8 8 9 11 12 12 12 11 10 8 7 6 6 7 8 7 5 4 4 5 4 4 6 7 7 7 7 7 6 7 8 9 9 8 8 8 9 8 8 8 9 9 9 9 10 11 10 9 8 8 7 7 6 6 5 4 2 1 -0 2 3 4 5 5 6 6 7 7 7 nan
nan 8 8 8 7 7 7 8 8 8 7 7 8 8 9 10 10 10 9 9 8 7 6 6 6 6 7 7 7 7 7 6 6 6 7 8 9 9 9 8 8 8 8 8 8 8 7 6 6 7 7 7 8 7 7 6 6 6 6 6 7 9 9 9 9 8 9 10 11 12 12 12 11 10 9 8 7 7 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 9 9 9 8 9 9 9 9 9 9 9 9 9 10 12 12 10 9 8 7 7 6 4 2 1 -1 -2 -4 -2 2 4 5 6 6 6 6 6 7 7 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 8 7 6 5 6 6 6 7 7 8 8 7 7 6 6 7 8 9 9 8 8 9 9 9 9 9 8 8 7 6 6 6 7 7 7 6 5 5 4 4 4 5 6 6 7 8 8 8 9 10 10 11 11 11 10 10 9 9 9 9 8 8 7 8 9 9 9 9 8 7 6 6 6 6 6 8 9 8 8 8 9 9 10 10 9 9 9 9 10 11 12 11 9 8 7 8 8 5 3 1 1 0 -1 -1 2 5 6 6 5 5 5 6 6 6 7 nan
nan 8 8 8 8 8 8 8 8 8 9 10 10 9 9 9 9 9 8 7 6 6 6 6 6 7 7 7 8 8 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 6 6 5 4 3 3 3 4 6 7 7 7 8 9 9 9 9 9 10 10 10 10 10 9 9 8 8 9 10 11 10 10 9 8 8 8 7 6 6 7 7 7 7 8 9 10 10 11 10 9 9 9 10 11 10 8 7 6 6 6 6 4 4 6 7 7 7 7 7 6 5 5 5 5 5 5 6 6 7 nan
nan 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 8 9 9 9 9 8 8 7 6 4 4 4 6 6 6 7 7 7 6 6 7 8 8 9 9 10 10 9 8 8 9 10 10 11 10 9 9 10 10 9 7 6 6 6 6 7 8 9 9 10 11 10 10 9 9 10 10 9 7 6 5 6 6 5 5 6 8 10 12 12 10 8 6 5 4 4 4 4 5 5 6 7 7 nan
nan 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 10 9 9 8 8 7 7 6 6 6 6 5 5 6 7 7 8 8 8 8 8 8 8 9 10 10 10 9 9 9 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 6 6 8 8 8 8 8 9 10 11 11 9 7 5 4 4 4 4 4 5 5 6 7 7 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
17 15 14 13 15 19 23 26 27 27 28 30 31 33 35 31 25 25 32 43 45 48 52 58 71 93 122 158 202 238 238 226 222 219 214 204 190 178 173 167 160 182 244 209 161 153 186 254 348 426 418 318 238 215 216 140 98 74 53 37 28 22 21 30 39 27 19 11 7 8 13 19 26 31 31 30 36 42 41 40 40 42 35 20 21 50 83 103 179 324 255 236 198 166 138 116 111 108 99 78 64 56 47 37 32 31 38 52 70 87 99 107 97 76 87 72 65 63 62 63 65 65 72 73 75 85 104 114 111 104 95 90 93 105 109
15 15 16 14 17 21 26 29 30 30 30 31 33 35 35 30 20 16 19 25 25 29 35 39 46 57 72 93 123 155 190 196 199 204 226 256 261 232 206 200 155 190 352 331 254 223 250 314 366 343 232 110 54 50 56 46 40 37 32 25 19 14 14 22 21 16 11 7 7 12 20 29 35 36 38 40 46 52 61 67 68 60 43 30 34 67 128 176 237 473 465 470 458 429 380 309 250 219 200 163 133 116 99 81 66 58 61 73 86 99 111 119 145 119 113 95 73 62 58 59 61 60 65 56 49 47 50 67 86 90 97 104 100 106 107
15 16 17 16 18 22 27 30 32 35 37 38 38 37 36 35 27 19 16 17 19 23 27 31 35 39 45 52 62 75 111 158 205 238 273 306 305 263 199 200 139 158 262 271 235 225 250 292 321 271 147 65 36 35 34 34 33 27 19 15 12 5 8 13 11 7 5 6 13 23 32 38 41 41 44 51 60 68 79 86 84 69 52 53 73 113 231 323 345 543 669 769 854 886 851 757 614 520 462 392 330 286 236 175 137 132 129 126 127 145 143 141 146 142 123 98 79 66 53 49 50 54 53 54 55 50 52 78 114 137 151 169 164 158 149
16 18 19 19 21 25 30 34 38 43 45 43 37 35 35 37 33 26 22 23 23 27 30 30 29 30 33 39 48 61 99 205 362 418 385 382 332 268 197 203 174 184 223 204 156 147 171 188 209 193 110 60 47 40 38 36 30 21 13 8 7 2 1 2 1 0 4 11 22 33 40 42 43 44 44 47 50 56 66 70 63 52 51 78 134 105 258 368 447 591 761 943 1143 1301 1305 1262 1172 1042 939 836 748 670 570 454 363 311 285 281 281 282 259 223 191 169 142 118 111 104 87 72 72 84 92 110 126 131 135 152 192 232 237 261 266 253 234
18 20 22 23 24 29 34 42 45 46 44 37 28 28 30 33 36 35 34 36 40 41 41 40 37 32 32 41 65 128 221 326 489 611 621 575 391 247 182 188 184 207 226 176 103 79 90 95 112 114 77 46 27 24 24 22 21 22 19 8 2 0 0 0 0 2 12 23 31 36 37 35 33 33 32 31 30 30 35 37 33 32 47 73 122 154 235 331 440 563 697 845 1017 1197 1304 1403 1469 1483 1456 1399 1327 1232 1111 960 791 634 591 583 553 500 433 367 309 267 243 228 230 239 213 187 192 214 236 263 291 312 320 320 344 378 373 382 394 391 367
20 23 27 28 29 35 42 50 50 43 37 29 23 22 24 28 31 39 43 48 55 60 63 67 61 48 51 76 152 285 367 354 343 361 345 320 295 202 129 113 113 157 194 158 89 56 49 48 66 75 59 40 20 14 14 18 30 41 35 14 1 0 1 4 7 14 26 37 39 35 29 23 19 16 15 14 13 13 14 14 18 43 68 119 152 175 204 262 346 452 567 658 750 799 924 1129 1312 1484 1601 1703 1783 1791 1698 1573 1331 1149 1092 1025 936 837 758 655 529 551 568 561 562 569 528 466 447 462 467 482 511 540 542 550 565 568 554 548 552 552 535
24 27 31 35 40 47 54 57 53 45 35 27 21 19 20 27 34 45 50 53 64 87 119 139 123 89 95 150 255 328 294 196 129 115 104 103 134 112 65 45 39 78 120 114 76 52 35 22 33 57 49 34 22 19 24 33 48 64 47 18 2 3 6 8 15 32 44 45 41 33 25 16 13 11 9 7 7 6 6 7 17 56 115 190 217 145 114 164 245 348 475 595 754 871 946 980 965 1010 1204 1488 1722 1891 2007 2167 2096 1858 1679 1543 1438 1387 1400 1398 1304 1226 1197 1172 1117 1087 1030 937 853 806 773 755 740 770 796 816 807 788 773 763 751 742 735
31 33 39 46 53 59 62 62 58 52 42 33 28 22 21 29 41 50 68 97 133 177 232 266 213 150 155 225 279 257 173 91 58 59 48 45 47 41 33 24 23 34 48 52 42 32 20 12 19 38 48 52 54 55 56 53 53 75 51 17 6 4 21 44 60 60 49 37 29 22 19 13 10 8 8 8 6 5 6 8 34 82 107 172 204 116 46 100 207 323 448 630 902 1197 1373 1288 1046 904 989 1178 1287 1289 1437 1832 2148 2208 2053 1891 1859 1967 2112 2164 2114 1998 1946 1879 1774 1680 1567 1443 1330 1185 1075 968 907 910 900 906 931 950 965 972 952 938 943
35 42 50 56 65 73 72 66 64 60 51 44 35 29 31 36 43 58 96 155 215 274 356 415 289 216 242 288 261 176 96 55 48 53 36 36 29 27 24 20 17 16 16 18 18 18 27 37 46 62 90 118 124 106 80 44 25 41 25 10 13 40 77 94 80 57 37 28 18 14 12 9 7 5 6 6 5 4 5 9 45 108 102 118 107 51 33 95 230 407 579 748 983 1200 1330 1254 1081 1017 1087 1099 1008 756 700 1175 1756 2035 2021 1920 1957 2146 2254 2229 2292 2366 2309 2183 2047 1907 1728 1562 1451 1362 1210 1042 989 954 889 862 919 997 1062 1094 1094 1094 1098
52 62 70 71 87 106 104 83 67 63 53 42 32 33 36 38 42 72 137 214 275 341 468 462 338 286 296 273 190 97 45 34 32 25 18 14 12 14 14 13 11 10 11 14 23 53 120 175 195 185 170 156 132 99 69 21 9 7 4 4 13 49 82 77 56 43 37 28 21 17 12 6 3 5 4 3 2 2 3 9 30 81 72 50 36 18 30 101 274 512 771 893 953 880 703 575 543 565 702 806 758 638 698 981 1309 1587 1696 1632 1611 1657 1594 1500 1592 1764 1860 1785 1580 1374 1369 1565 1589 1428 1233 1120 1137 1109 983 919 946 998 1067 1117 1159 1182 1211
102 102 105 120 160 182 161 114 68 55 45 33 29 32 34 39 56 123 226 296 327 355 383 343 278 225 180 130 79 41 25 21 18 13 8 6 6 8 9 11 14 27 63 112 165 201 240 245 215 179 140 92 51 22 10 8 5 4 3 2 5 29 50 31 24 24 23 22 22 19 16 9 3 2 2 1 1 1 1 5 23 62 71 44 16 14 35 127 339 561 788 865 794 593 367 261 224 217 224 370 477 486 444 506 730 961 1074 1040 1002 959 875 910 1041 1167 1227 1216 1161 1111 1241 1371 1315 1252 1219 1236 1360 1418 1253 1154 1119 1049 1081 1125 1139 1155 1222
139 133 157 212 259 240 171 104 55 43 36 31 38 49 61 85 133 193 252 314 323 310 296 250 171 99 49 28 25 20 17 13 12 12 11 11 12 17 21 25 50 115 202 264 271 216 184 136 78 33 9 8 7 4 2 2 1 1 1 0 0 4 8 9 12 11 11 14 17 16 14 9 4 2 1 1 2 1 0 3 19 40 41 20 9 17 51 213 413 571 642 611 509 381 292 279 235 207 212 278 396 462 423 374 419 478 468 539 580 646 716 763 762 750 760 830 1010 1125 1113 1089 1113 1190 1269 1276 1297 1348 1351 1323 1201 1090 1133 1120 1048 1050 1179
216 208 233 260 242 177 105 59 39 36 31 30 45 78 112 130 138 150 179 221 215 149 97 105 85 58 40 36 41 30 20 18 27 34 42 45 65 101 115 126 184 274 292 257 180 102 58 28 10 2 0 0 1 0 0 0 0 0 0 0 0 0 2 4 5 4 6 9 11 11 10 7 3 2 0 0 3 2 2 4 11 15 10 3 8 34 144 304 431 497 471 386 305 253 218 209 218 240 261 281 355 429 431 389 383 400 398 478 490 499 502 507 499 455 440 519 686 710 694 756 900 1087 1112 982 981 1143 1329 1336 1270 1181 1129 1080 1045 1076 1141
314 248 215 189 148 103 68 47 39 37 33 57 95 128 151 145 115 97 106 110 88 62 51 70 102 131 162 189 179 140 122 111 127 147 229 309 347 322 280 283 311 291 212 159 105 55 20 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 3 5 5 5 5 5 4 3 4 4 3 3 4 4 3 1 1 16 84 216 345 384 368 336 286 256 229 207 188 201 237 258 274 313 371 423 463 467 479 495 530 508 491 508 530 505 419 347 353 400 408 436 488 543 560 531 589 672 780 888 953 956 949 975 1017 1053 1087 1067
241 176 138 126 118 107 102 95 69 64 63 96 146 181 192 175 128 69 47 44 50 84 112 141 183 233 291 342 343 302 250 278 319 264 232 214 212 228 229 203 163 123 108 101 77 41 13 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 4 8 6 4 3 3 2 1 0 1 1 2 7 57 153 251 320 307 256 237 229 222 201 183 174 199 248 305 352 380 393 399 460 513 543 559 547 531 540 562 557 517 455 417 401 429 464 496 509 490 481 474 481 503 521 558 613 683 755 826 894 939 945 889
108 126 128 112 90 87 106 118 123 122 125 140 155 154 141 120 90 78 97 82 103 129 156 182 211 235 256 288 314 296 222 197 158 116 88 68 73 91 97 99 99 95 81 62 37 15 3 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 1 2 3 3 5 7 6 5 4 3 3 4 10 11 8 13 48 141 213 228 214 188 164 160 163 160 137 122 126 160 224 299 363 401 432 413 487 531 562 562 548 537 517 476 394 419 470 506 503 514 515 506 517 533 493 449 404 399 438 498 530 529 564 608 660 695 688 644
84 90 68 37 22 28 48 65 92 114 130 124 97 69 47 30 36 82 181 146 123 119 140 177 209 215 203 201 189 148 97 61 48 62 80 99 112 100 61 62 66 52 35 19 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 3 3 4 4 5 4 4 4 5 10 24 28 35 72 131 177 174 139 97 73 79 92 111 110 94 79 84 113 163 220 259 282 328 366 451 524 554 539 512 496 471 450 433 420 426 438 446 449 464 506 579 558 457 373 300 261 250 253 268 288 298 331 383 420 435 426
61 41 27 22 18 10 16 29 41 55 79 96 92 89 98 109 130 104 100 115 121 133 172 204 203 178 145 130 105 55 25 19 36 60 76 70 51 53 31 28 20 7 2 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 1 2 2 3 4 5 6 6 6 12 22 23 38 69 84 76 62 47 30 21 30 53 75 76 64 52 56 75 103 141 165 194 240 300 373 426 443 426 409 400 374 354 327 318 330 342 350 359 364 385 460 448 365 266 174 109 75 57 44 82 125 157 194 224 247 265
30 19 17 15 8 3 6 17 30 40 75 112 123 130 152 156 140 125 113 126 170 202 216 194 151 115 91 85 66 26 11 10 11 12 16 19 10 6 8 9 7 3 1 0 0 0 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 7 6 4 7 12 14 19 26 24 16 12 13 12 13 25 42 55 55 45 37 44 60 73 97 122 158 191 226 251 270 282 264 251 236 221 215 228 243 253 258 243 203 176 192 243 264 237 172 98 46 25 20 19 34 62 80 87 95 107 117
11 6 2 0 0 0 2 13 29 57 104 145 165 166 142 94 59 102 138 185 212 220 198 153 110 79 65 69 45 21 13 12 12 12 12 7 5 6 7 7 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 1 2 3 4 3 1 0 2 6 8 7 6 6 7 8 10 11 17 26 32 36 34 27 27 43 58 67 78 90 108 122 133 143 148 143 127 107 98 100 103 113 131 137 122 91 51 53 69 93 111 113 93 58 31 17 9 5 10 16 14 14 20 24 23
6 1 0 0 0 0 5 15 33 61 97 122 132 133 127 116 139 180 224 224 213 191 159 128 99 74 55 38 24 15 11 9 8 9 10 9 8 6 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 1 1 2 2 1 0 0 0 2 2 2 3 6 8 9 12 15 19 21 26 31 32 28 30 43 52 56 59 56 52 48 49 52 45 37 43 38 35 33 32 30 25 20 26 25 17 18 21 21 16 20 27 18 12 9 3 1 0 0 0 0 0 2 1
4 1 0 0 0 3 12 26 38 50 66 84 94 86 74 117 142 138 129 165 176 149 124 111 87 73 47 21 13 11 9 7 6 6 7 7 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 1 2 0 0 0 0 0 1 3 4 5 7 8 9 14 19 23 27 35 43 44 39 37 38 39 39 37 32 27 24 25 25 26 24 22 20 17 15 14 13 10 8 7 7 6 7 8 8 8 8 8 8 8 7 5 4 3 1 0 0 0 0 0
6 6 1 1 1 5 16 31 38 40 53 72 76 67 86 121 102 101 120 137 129 104 86 72 49 43 25 13 9 7 5 4 3 3 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 10 15 19 23 29 35 43 49 45 38 34 33 34 33 28 24 23 23 22 21 20 18 16 14 12 11 9 7 7 5 3 1 1 2 3 4 4 4 4 5 4 3 3 2 1 1 0 0 0 0 0
5 8 3 1 2 4 11 23 36 46 57 70 78 67 74 76 68 62 65 77 74 54 38 26 17 13 10 7 4 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 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 2 4 7 9 14 17 22 29 36 41 41 37 34 32 30 29 27 25 23 22 22 21 17 14 12 10 10 9 6 5 3 3 1 0 0 0 0 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0
1 3 2 1 1 2 8 18 35 57 63 57 73 69 56 47 38 35 31 32 32 26 21 17 12 8 5 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 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 6 10 14 18 24 31 34 33 30 28 26 24 23 21 19 18 16 13 13 12 10 9 7 6 5 3 1 1 1 0 0 0 0 0 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0
1 1 1 1 1 2 9 18 30 41 41 38 44 43 40 34 25 20 16 14 15 15 13 9 6 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 6 6 7 10 13 16 21 26 26 24 22 20 17 14 12 12 11 10 8 7 6 5 5 4 3 2 2 1 1 0 0 0 1 2 1 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0
7 10 4 1 1 1 6 10 12 14 17 17 14 15 19 22 16 10 6 5 5 5 4 2 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 2 4 5 6 8 10 12 13 19 20 17 14 11 9 8 7 7 6 6 4 2 1 1 2 1 1 2 2 1 1 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
18 28 25 15 7 4 3 3 2 3 4 3 2 2 3 3 5 6 4 1 0 0 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 1 2 3 6 8 10 11 13 13 11 9 8 6 5 3 3 2 2 1 1 1 1 2 2 1 2 2 1 0 1 1 1 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
27 44 53 44 32 27 30 36 36 25 14 8 5 2 1 2 6 8 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 0 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 6 8 9 9 10 8 6 4 3 2 2 1 1 1 2 2 2 3 2 2 1 1 0 1 1 1 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
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