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 4 4 5 5 5 5 5 4 4 3 3 4 5 6 6 6 6 6 5 5 5 5 4 3 3 3 4 4 4 4 5 5 5 5 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 5 5 5 5 6 7 9 10 11 11 10 9 10 10 9 9 8 7 5 4 4 4 4 5 6 7 7 7 6 6 6 5 4 4 5 5 4 3 4 5 5 6 6 6 6 5 5 5 4 4 3 3 4 6 8 8 8 7 5 4 4 4 3 3 3 4 4 6 7 10 13 16 19 21 21 21 19 18 16 15 14 14 nan
nan 3 3 3 3 3 3 4 4 5 5 5 4 4 4 4 5 5 5 4 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 5 6 5 5 4 4 4 3 3 3 4 4 4 5 5 5 5 5 5 5 6 7 8 9 9 10 10 9 9 9 9 8 7 6 5 4 4 4 4 4 6 7 8 8 7 4 2 2 3 4 6 6 6 5 4 4 5 6 6 7 7 7 7 7 6 6 5 5 5 5 5 5 4 4 4 4 3 3 4 3 3 3 3 3 3 4 6 7 9 11 12 12 12 11 11 10 9 7 6 nan
nan 1 1 2 2 1 2 2 3 4 5 6 6 6 5 5 5 4 4 3 2 2 3 4 4 4 4 4 5 5 5 5 5 5 6 6 6 5 4 4 4 3 3 4 4 4 5 5 6 6 6 6 6 5 5 6 8 9 10 9 8 8 8 9 9 9 7 6 5 4 4 4 5 4 5 6 7 8 8 7 4 1 1 3 5 6 6 6 6 5 5 6 6 7 7 8 8 8 7 7 7 7 6 6 6 5 5 5 5 5 4 5 5 5 5 5 4 4 4 4 4 4 4 5 6 6 6 5 5 5 4 4 4 3 nan
nan 1 1 2 2 2 1 1 1 1 3 6 7 7 6 5 4 4 4 3 3 3 3 4 4 4 4 4 4 5 5 5 5 6 7 7 6 5 4 4 4 4 4 5 5 5 6 6 6 6 6 6 6 5 5 6 8 11 11 9 7 6 8 9 8 7 6 5 5 5 5 5 5 5 5 6 7 7 8 7 5 4 4 5 6 6 6 6 6 6 6 6 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 4 4 4 4 4 4 3 3 3 3 4 4 4 nan
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nan 5 7 10 15 20 23 22 16 8 3 4 6 7 5 4 3 3 4 4 4 4 4 4 4 4 5 5 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 8 11 15 16 13 9 7 5 4 4 4 5 5 5 5 5 5 6 6 7 7 7 7 7 8 7 7 6 6 6 6 6 6 6 7 7 7 7 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 4 5 5 5 5 6 6 6 6 6 nan
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nan -1 -1 2 5 7 6 5 4 3 3 4 6 6 6 5 4 4 5 6 6 6 7 7 7 6 5 5 4 3 3 3 3 3 3 3 3 3 2 2 2 2 3 4 4 6 7 8 8 9 10 11 12 13 12 10 7 3 1 0 2 4 6 6 6 6 6 6 7 7 7 6 7 8 9 9 8 7 8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 4 nan
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nan 7 7 7 7 7 7 6 5 5 7 7 7 7 6 6 7 7 7 6 6 7 8 8 7 7 7 7 6 6 7 8 8 8 8 7 7 7 8 8 8 9 9 9 9 8 8 8 7 7 7 8 8 9 10 10 10 9 7 6 6 6 7 7 7 7 7 8 8 6 2 -2 -1 2 4 5 6 6 6 7 7 7 7 7 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
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nan 8 8 8 9 9 8 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 7 5 6 6 7 8 8 8 8 8 7 7 6 6 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 6 7 7 7 7 8 8 8 7 7 7 7 6 6 7 7 7 8 8 8 8 8 9 9 8 8 7 7 5 2 2 3 5 6 6 7 7 7 6 6 6 6 5 5 4 4 4 4 5 5 5 6 6 7 7 7 7 8 8 8 7 7 6 6 6 6 6 7 7 7 7 nan
nan 9 9 9 9 9 8 7 7 8 7 7 7 7 6 6 6 6 7 7 8 8 8 8 6 6 6 6 6 7 8 9 9 8 8 7 7 7 6 6 6 6 7 7 8 8 8 7 7 7 8 8 8 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 7 7 8 8 8 9 9 8 8 8 7 6 4 2 2 3 4 5 6 7 6 6 6 6 6 5 5 4 4 4 4 4 5 5 6 6 6 7 7 7 8 8 8 7 7 7 6 6 6 6 7 7 7 7 nan
nan 9 10 10 10 9 7 6 8 8 7 7 7 6 6 6 6 6 7 8 9 9 8 8 7 7 7 6 6 7 8 9 9 9 9 8 8 7 7 6 6 6 6 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 6 6 6 6 6 5 5 6 6 6 6 6 7 7 8 8 8 8 8 8 8 7 6 6 4 3 2 3 4 5 5 5 5 5 6 6 5 5 4 4 4 4 4 5 5 5 5 6 6 7 7 8 8 8 8 7 7 6 6 6 6 6 7 7 7 nan
nan 10 10 11 10 9 7 6 7 7 7 7 6 6 6 6 6 6 7 8 9 8 8 8 9 8 8 7 6 7 8 8 9 10 10 10 9 8 8 7 6 6 6 7 8 8 8 8 8 8 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 6 6 7 6 6 6 6 7 7 8 8 8 8 8 7 6 6 7 6 5 4 4 4 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 6 6 7 8 8 8 8 7 7 7 6 6 6 6 6 6 6 nan
nan 9 10 10 10 8 6 6 7 7 7 6 6 6 6 6 6 6 7 7 8 8 9 9 9 10 9 8 7 7 7 8 9 11 12 11 10 9 8 8 7 7 7 7 8 8 8 9 8 8 7 8 9 10 9 8 8 8 9 9 9 9 9 8 8 8 8 8 7 6 6 6 6 6 6 6 7 7 6 6 6 6 7 8 8 8 8 8 8 7 6 6 6 6 6 6 6 6 7 6 5 3 2 3 4 5 5 4 4 4 4 4 4 4 5 5 5 6 6 7 8 8 8 8 7 7 6 6 6 6 6 6 6 6 nan
nan 9 9 10 9 8 6 5 7 7 7 7 7 6 6 6 6 6 6 6 7 8 9 9 10 10 10 9 8 8 7 7 8 9 11 11 10 10 9 9 8 8 8 8 8 8 8 9 8 8 8 9 10 10 10 9 9 9 9 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 9 9 9 8 7 6 5 5 6 6 6 7 7 7 7 6 3 1 2 3 4 5 5 5 5 5 5 4 4 4 5 5 5 6 7 8 8 8 8 7 7 6 6 6 6 6 6 6 6 nan
nan 8 9 10 9 8 5 6 7 8 8 7 7 7 7 6 6 6 6 6 7 8 9 9 10 10 9 8 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 7 7 8 8 8 8 9 10 10 10 10 10 10 10 10 10 9 9 9 8 7 7 8 7 7 7 7 7 8 7 7 6 6 6 7 6 6 6 6 7 8 9 9 9 8 7 6 5 5 5 6 6 7 7 7 7 6 5 3 2 3 3 4 5 6 6 5 5 5 5 4 5 5 5 6 7 8 8 8 8 7 7 6 6 6 6 6 6 6 6 nan
nan 8 10 11 10 7 5 6 7 8 8 7 7 7 6 6 6 6 6 6 7 7 8 9 8 7 6 6 6 6 6 7 6 6 6 6 8 9 9 9 9 9 8 7 7 7 7 7 8 8 9 9 9 9 9 10 11 10 10 10 10 9 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 6 6 5 6 7 8 9 9 9 8 6 6 5 5 5 6 6 6 7 7 7 7 6 5 4 3 3 4 5 6 6 6 6 6 5 5 5 5 6 6 7 7 8 8 7 7 7 6 6 6 6 6 6 6 6 nan
nan 9 10 11 9 6 4 5 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 5 5 5 5 5 6 6 6 5 5 7 8 9 9 9 9 8 7 6 6 6 7 7 8 8 8 8 8 7 8 8 9 9 10 10 9 8 7 7 7 7 8 8 8 8 9 9 8 7 7 7 7 7 7 6 5 6 7 8 8 9 8 7 6 5 5 5 5 6 6 7 7 8 8 7 6 6 5 4 4 4 5 6 6 7 7 7 6 6 5 5 5 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 9 10 10 8 5 4 5 7 8 8 7 7 7 7 7 7 8 8 8 8 9 8 8 7 6 5 6 6 5 6 6 7 6 5 5 6 7 8 9 9 8 7 6 6 6 7 7 8 8 8 8 8 8 7 6 6 6 7 8 9 8 8 7 7 7 8 8 9 9 9 9 9 8 8 7 7 8 7 6 5 5 5 6 7 8 8 7 6 5 5 5 5 6 6 7 7 8 8 8 7 6 6 6 5 5 5 5 5 6 7 8 8 8 7 6 6 5 5 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 9 9 9 7 5 5 6 7 7 7 7 7 7 7 8 8 9 9 8 8 9 8 8 7 7 7 7 7 6 6 6 6 6 5 6 6 6 7 8 9 8 8 7 7 7 7 7 8 8 8 9 9 8 7 6 6 6 6 7 7 8 8 8 8 8 8 9 10 10 10 10 9 9 8 8 7 7 6 5 4 4 4 6 7 8 8 7 6 5 5 6 6 6 7 8 8 9 8 7 7 6 6 6 6 6 5 5 5 5 7 9 10 10 9 8 6 4 4 5 6 6 6 7 7 7 7 7 7 6 6 6 6 6 nan
nan 9 8 8 6 6 6 7 7 6 6 6 6 7 8 9 10 10 9 9 8 8 8 8 7 7 7 7 7 6 5 6 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 7 7 7 8 8 9 8 8 8 7 6 6 6 6 7 8 8 8 8 9 10 10 10 10 10 9 9 8 8 7 7 6 5 4 4 5 6 7 8 8 7 6 6 6 6 7 7 7 8 9 9 8 7 6 6 6 6 6 6 6 6 6 6 7 9 10 10 9 6 3 2 3 4 5 6 6 6 7 7 7 7 7 7 7 6 6 6 nan
nan 8 7 6 6 7 7 8 7 6 6 6 6 7 8 10 11 10 9 8 8 8 8 7 6 6 5 6 6 5 5 6 7 7 8 8 8 8 8 9 10 10 10 9 9 8 8 7 7 7 8 8 8 8 8 9 9 7 7 6 6 7 7 7 8 9 10 10 10 10 10 10 9 9 8 8 8 7 6 5 5 4 5 7 8 8 8 8 7 7 7 7 8 8 8 9 9 8 7 7 6 6 6 6 6 6 7 7 7 6 7 7 8 8 6 1 -2 -1 2 4 5 5 6 6 7 7 7 7 7 7 7 6 6 6 nan
nan 8 6 5 5 6 8 8 7 7 7 7 7 7 8 10 10 9 8 7 8 8 7 6 6 5 5 5 6 6 6 6 6 6 7 8 8 8 8 9 10 10 10 10 9 8 8 8 8 8 8 9 8 8 8 9 9 8 7 7 6 6 6 6 7 8 9 10 10 9 9 9 9 8 8 8 8 8 7 7 6 5 6 7 8 9 9 8 8 9 9 9 9 10 10 9 9 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 5 2 -3 -4 -1 2 4 5 6 6 6 7 7 8 8 7 7 7 6 6 6 nan
nan 7 5 5 5 6 7 8 8 8 8 8 7 7 8 8 8 7 7 7 8 8 7 6 5 5 5 6 7 7 7 6 6 6 6 6 7 7 7 8 9 10 11 10 9 9 8 8 8 9 9 9 8 7 8 9 9 9 8 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 8 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 4 -1 -3 -2 2 4 5 6 6 6 6 7 7 8 8 7 7 6 6 6 6 nan
nan 7 6 4 4 6 7 8 8 9 9 8 7 8 8 8 7 7 7 7 8 7 7 6 5 4 5 6 7 7 7 7 7 6 5 6 6 5 6 7 9 10 10 10 10 9 8 7 8 8 9 9 8 7 8 9 9 10 9 8 7 7 6 6 6 5 5 6 7 7 7 7 8 8 9 9 9 9 9 9 9 8 9 9 10 10 10 9 9 9 9 9 9 8 8 9 9 8 8 8 8 9 9 9 8 8 7 7 8 8 8 8 7 3 -1 -2 2 6 7 7 6 6 6 6 7 7 7 7 7 7 6 6 6 6 nan
nan 7 6 5 5 6 7 8 9 9 9 8 7 8 8 8 8 8 7 7 7 7 7 6 5 5 6 6 7 7 7 7 7 6 6 6 5 5 6 7 8 9 9 10 10 11 10 9 8 8 8 8 7 8 8 9 9 9 9 9 8 7 6 6 6 6 5 5 6 7 7 7 8 9 10 10 10 9 8 8 8 9 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 8 7 4 1 3 8 11 11 9 7 7 6 6 6 7 7 7 7 6 6 6 6 6 nan
nan 8 8 7 7 7 7 8 9 10 9 8 7 8 8 8 9 9 8 8 7 7 7 5 5 6 6 6 7 7 8 8 8 7 7 6 6 6 6 7 8 8 8 9 11 12 12 10 9 9 8 7 7 7 8 8 8 9 8 8 8 7 7 8 8 7 6 6 6 6 6 7 9 10 10 9 8 8 7 7 8 9 10 10 9 9 9 9 9 9 9 9 9 9 8 9 9 9 10 10 10 10 9 9 9 9 8 7 7 7 7 8 7 5 6 10 13 13 12 10 9 8 7 6 5 6 6 6 6 6 6 6 6 6 nan
nan 8 8 8 8 8 8 9 9 9 8 7 7 8 8 9 9 8 8 9 9 8 7 6 7 7 6 7 7 8 8 8 8 8 8 8 7 6 6 6 7 7 6 7 10 12 12 12 11 10 9 7 6 6 6 7 7 8 8 8 8 8 9 9 9 8 7 6 6 6 6 7 8 9 9 8 7 7 7 8 9 9 9 9 9 9 9 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 7 7 7 8 8 7 8 11 12 11 10 10 10 8 6 5 4 4 5 5 6 6 6 6 6 6 nan
nan 7 8 8 9 9 9 9 9 8 7 7 7 8 8 8 9 9 9 10 10 9 8 8 8 7 7 6 7 7 6 7 8 10 11 10 8 6 5 6 6 6 6 7 8 10 11 12 12 11 10 8 7 6 6 6 8 9 9 9 8 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 6 7 8 9 9 8 8 8 8 8 8 8 9 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 8 9 8 8 8 9 9 9 9 9 7 5 3 2 3 4 5 5 6 6 6 6 6 nan
nan 7 7 8 9 10 10 10 9 7 6 6 7 8 8 9 9 9 10 10 10 9 8 8 8 8 7 7 6 6 5 5 7 10 12 12 10 8 6 6 6 7 7 7 8 8 8 9 10 11 10 10 9 8 8 9 10 11 12 10 9 8 7 8 9 9 8 8 8 8 8 7 7 7 7 6 6 6 8 9 8 7 7 7 8 7 7 8 9 9 9 9 9 9 9 10 10 11 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 8 8 8 7 5 4 3 1 -1 1 2 4 5 5 6 6 6 6 6 nan
nan 6 7 8 9 10 11 10 8 7 6 7 7 8 9 9 10 10 11 11 9 8 7 7 7 7 7 7 7 7 6 6 7 9 11 11 10 9 7 6 7 8 8 8 7 7 6 7 8 9 10 11 11 11 12 13 13 14 13 11 8 7 6 7 8 8 8 8 8 8 8 8 8 8 7 7 6 7 8 9 8 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 9 10 10 10 8 6 4 1 -2 -4 -5 -5 -3 0 2 4 5 6 6 6 6 6 6 nan
nan 7 7 8 9 10 10 9 8 8 7 7 8 8 9 10 12 12 12 10 8 6 5 6 7 7 7 8 9 10 10 9 8 8 8 9 9 8 7 7 7 8 8 8 7 6 6 5 6 8 10 11 12 12 13 14 15 15 13 11 9 8 8 7 8 7 7 7 7 7 8 8 9 9 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 9 9 9 9 10 9 7 5 1 -2 -5 -6 -6 -4 -0 2 4 5 6 6 6 6 6 6 6 nan
nan 8 8 8 9 10 10 9 9 8 8 8 8 9 10 11 12 12 11 9 6 5 6 7 8 8 9 10 11 12 11 10 9 7 6 7 8 8 7 7 7 7 7 7 7 7 6 5 5 7 8 9 10 11 12 13 14 14 13 12 11 11 11 10 9 8 7 7 7 7 7 8 9 9 9 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 10 10 10 11 11 11 10 10 10 9 8 8 8 8 8 7 6 5 4 3 2 1 1 2 4 5 5 6 6 6 6 6 6 6 6 nan
nan 8 8 8 9 9 10 10 9 8 8 8 8 9 9 11 12 11 10 8 7 7 8 8 9 10 11 11 11 11 10 9 8 6 6 8 9 9 8 8 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 9 11 12 12 12 12 12 12 12 11 10 9 8 7 7 6 7 8 9 8 8 9 10 10 10 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 10 10 10 10 11 11 11 10 8 7 7 8 9 8 7 6 7 9 9 9 8 6 5 5 6 6 7 7 7 7 6 6 6 6 nan
nan 9 8 8 8 9 9 9 8 7 7 7 8 8 9 10 11 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 11 11 11 12 12 12 11 9 8 7 6 6 7 7 8 9 10 10 10 10 10 10 10 10 9 8 8 9 9 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 10 11 11 10 9 8 8 9 10 9 8 8 8 10 11 10 7 5 4 5 7 7 7 7 7 7 6 6 6 6 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
26 25 27 39 44 41 39 36 35 40 48 50 50 51 54 62 79 101 128 164 267 511 781 778 484 181 53 30 30 38 37 45 32 17 10 14 24 26 14 6 8 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 25 37 37 31 28 30 23 18 22 27 33 34 30 23 15 9 8 6 11 20 32 73 211 308 200 73 87 103 99 125 163 148 112 82 63 56 65 90 117 135 169 204 230 262 309 385 514 721 832 680 526 459 411 361 323 291 284 298 312 321 330 354 393 439 470 507 512 491 446 400 370 365 386 416 457
25 27 32 54 54 36 33 33 33 37 44 48 49 44 38 38 44 50 64 83 128 229 348 371 254 97 46 46 59 70 94 104 86 69 49 26 10 5 2 1 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 11 22 25 27 22 18 19 16 11 11 15 21 24 20 16 9 3 3 4 9 20 33 72 160 181 92 55 75 80 73 97 116 100 81 67 58 49 45 51 67 75 99 118 135 145 152 169 202 279 371 357 309 263 245 247 242 239 246 261 278 296 317 351 407 436 462 486 532 550 531 512 491 480 487 511 493
25 37 35 61 48 32 25 30 34 33 32 41 56 60 32 26 25 27 35 46 53 76 150 248 238 65 33 65 75 61 89 111 113 98 70 37 12 3 2 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 5 9 11 17 17 14 11 10 8 9 11 11 12 8 4 2 0 0 2 12 27 42 68 99 95 66 65 68 60 51 60 66 66 66 65 60 51 40 47 54 63 73 87 93 99 106 110 118 129 136 153 164 178 187 194 199 201 205 220 249 294 304 314 346 380 410 437 477 509 496 468 445 415 386 353 309
27 47 68 80 69 58 59 58 57 52 48 68 116 150 114 60 28 22 24 29 49 100 147 171 143 10 4 45 43 36 67 104 112 94 62 27 10 4 4 4 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 8 5 3 5 6 7 7 4 2 1 0 0 0 0 5 17 31 41 50 56 55 54 63 54 52 50 50 51 54 56 54 51 48 42 48 57 70 76 81 83 82 82 89 101 111 114 115 124 137 146 148 147 142 145 160 174 189 231 286 308 317 334 346 353 365 354 323 291 264 235 197 167
69 105 135 129 112 101 107 91 78 75 77 113 208 299 242 102 39 24 31 75 143 173 145 95 48 15 20 51 52 70 105 129 114 72 34 14 9 6 5 4 3 3 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 4 4 2 2 1 0 0 0 0 0 0 6 17 28 35 36 40 40 45 49 48 48 49 47 46 47 48 48 46 48 46 48 53 60 60 56 60 72 80 76 87 95 97 95 93 81 71 81 88 87 91 102 107 107 142 220 258 268 285 280 250 239 214 197 173 160 152 142 135
141 192 225 211 220 206 172 139 116 98 101 168 303 387 265 97 38 35 63 178 250 192 122 97 81 71 96 171 122 115 139 146 117 68 28 13 8 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 0 1 1 1 1 0 0 0 0 0 0 0 0 0 3 13 26 32 34 34 35 38 39 40 43 45 44 40 38 37 32 35 39 38 42 44 45 45 43 42 47 52 60 69 71 66 65 64 66 72 65 63 62 63 69 75 83 101 137 169 187 217 239 215 167 141 124 109 107 116 124 127
255 305 380 392 457 484 463 413 328 223 165 227 354 336 169 67 33 90 259 386 316 160 121 187 237 186 169 226 166 149 163 145 94 48 17 7 4 5 4 4 2 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 0 0 0 0 0 0 0 0 0 0 0 2 11 26 32 34 33 35 39 41 42 43 43 42 37 33 33 29 32 34 35 36 37 39 41 39 36 36 34 40 46 47 45 45 43 45 48 52 49 44 40 44 50 55 61 76 95 106 126 167 155 142 123 105 89 82 89 96 107
400 429 493 572 659 728 799 810 696 483 301 264 338 211 98 92 134 252 418 447 290 175 214 313 328 219 151 155 143 128 104 64 30 14 6 3 3 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 35 48 37 36 37 40 41 40 41 41 39 33 32 31 31 33 34 35 36 38 39 40 38 36 34 33 34 34 34 33 30 30 31 27 24 26 25 24 26 28 30 34 43 57 62 73 93 91 76 74 78 68 57 58 60 61
430 470 563 653 718 791 913 1007 948 729 511 417 341 171 94 170 343 428 381 281 217 208 291 366 296 199 141 111 84 57 29 8 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 17 53 68 45 38 38 40 40 39 40 40 36 32 30 30 31 32 32 33 35 36 36 36 35 34 33 31 28 25 24 23 22 23 23 21 20 20 20 21 21 21 21 21 21 31 38 40 49 55 49 46 54 50 43 46 50 57
383 444 555 639 691 758 867 967 964 821 627 528 312 149 107 244 426 375 239 291 391 425 380 290 180 114 77 46 23 10 4 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 3 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 22 71 66 45 38 38 40 41 40 40 39 33 31 28 27 26 27 28 29 30 31 31 31 32 32 30 27 23 19 18 18 18 20 20 20 19 18 18 18 18 17 17 17 17 16 18 20 26 32 34 37 38 41 44 44 47 50
316 419 529 575 621 685 764 830 825 724 572 430 218 148 178 277 302 270 285 304 299 318 201 103 50 22 5 0 0 0 0 0 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 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 28 64 54 41 38 39 43 45 43 39 35 32 30 27 24 22 23 26 27 27 28 28 28 28 28 27 25 22 19 16 15 17 17 18 17 15 14 14 15 15 14 14 14 14 14 14 14 15 17 20 20 22 26 33 35 34 32
240 324 429 473 511 593 698 737 662 569 490 346 228 233 322 436 489 427 290 192 103 50 5 0 0 0 0 0 0 0 0 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 16 28 41 44 39 37 40 45 48 48 41 34 31 29 27 25 24 24 25 25 24 24 24 24 24 23 21 19 17 15 16 14 14 13 13 13 12 11 11 12 13 12 13 12 12 12 12 12 12 12 13 14 15 15 21 24 23 21
208 252 291 325 381 510 662 692 590 507 419 304 269 337 445 495 433 287 140 65 25 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 20 34 42 42 37 36 41 44 46 43 39 34 29 27 27 27 27 28 26 24 22 20 19 18 17 15 13 13 14 13 13 11 11 10 9 9 9 9 9 9 10 10 10 10 9 9 10 10 11 10 10 9 10 11 13 17 18 18
208 198 189 234 354 521 641 622 530 447 339 285 323 415 452 385 251 122 45 13 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 20 36 44 41 35 37 39 42 43 43 40 33 27 25 26 26 26 25 24 21 19 17 15 14 13 12 13 12 11 9 8 7 7 6 5 5 6 6 6 6 6 7 7 6 6 6 6 6 7 5 6 6 7 7 8 11 13 14
222 213 238 311 440 569 602 528 441 360 295 300 378 417 355 233 124 52 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 19 34 41 39 36 38 39 40 41 42 39 31 25 24 24 23 22 19 19 17 15 14 13 13 11 10 8 8 6 5 5 4 4 4 3 3 3 4 4 4 3 3 3 3 4 3 4 3 4 3 3 3 3 3 5 7 10 12
288 298 339 408 503 568 532 438 364 307 288 326 377 339 230 126 58 20 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 20 36 40 40 39 38 38 39 40 40 37 31 25 22 22 20 18 15 13 13 12 11 11 10 9 8 6 4 3 3 3 3 2 2 2 2 2 3 4 3 3 3 2 2 3 2 3 3 2 2 2 2 2 2 5 5 7 8
385 396 394 416 482 511 446 357 305 287 298 327 329 253 145 70 25 10 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 0 0 0 0 0 0 0 0 0 0 0 1 6 18 32 39 42 41 38 40 40 39 38 35 30 25 21 20 18 15 13 12 11 11 10 9 9 8 7 5 3 2 2 2 1 1 2 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 2 4 3 3 4
351 332 328 355 416 436 372 297 280 291 317 333 286 184 92 39 10 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 2 7 15 25 37 42 43 41 41 41 40 37 33 29 24 19 17 15 12 10 9 9 8 8 8 7 6 5 3 2 2 2 1 0 0 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 2 3 3 3 6 5 3 2
186 170 205 283 365 383 314 248 263 300 329 321 246 142 67 23 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 17 30 39 45 46 45 44 40 36 32 28 22 18 15 13 10 8 7 7 7 6 5 5 4 3 2 1 1 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 2 3 2 2 5 4 2 2
54 61 113 219 328 347 276 207 224 281 320 298 213 114 46 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 11 23 35 43 45 45 42 37 35 32 28 22 17 13 10 8 7 6 6 5 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 1 1 2 2 2 2 3 3 2
11 29 88 196 301 304 251 195 203 253 303 291 207 105 40 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 18 29 38 41 41 39 36 34 32 28 23 16 11 8 6 5 4 3 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 1 1 2 2 1 1 2 2 2 2 3 4 2
3 19 72 171 265 258 208 164 164 217 286 299 219 101 44 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 8 14 22 31 37 38 38 37 33 30 27 21 14 10 7 4 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 0 0 1 1 1 1 1 1 2 3 4 3 3 2
3 14 50 121 196 214 175 151 164 209 275 297 219 96 40 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 11 17 25 32 34 35 34 31 28 24 18 11 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 1 1 1 1 2 3 4 4 4 3 3
3 12 35 79 141 178 162 142 152 209 279 293 218 111 41 10 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 1 2 4 8 13 19 25 29 31 30 28 24 19 14 9 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 1 1 1 1 2 4 3 3 4 3 3
2 6 18 50 107 153 152 128 144 204 269 288 221 111 42 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 9 13 15 23 25 25 23 19 14 10 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 1 1 2 2 2 2 2 3 2 2
2 4 13 41 97 129 137 121 128 180 248 269 199 105 71 27 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 9 11 16 20 20 18 14 10 6 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 1 1 1 2 2 2 2 2 2 3
6 17 37 83 126 131 133 128 135 168 209 216 168 83 47 21 6 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 1 3 6 8 11 13 13 13 10 6 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 1 1 1 1 1 2 1 1 2 3
16 42 77 125 158 149 128 105 96 105 124 149 133 54 20 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 7 8 7 7 6 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 1 1 1 1 1 1 1 1 3
26 61 108 151 174 151 105 66 51 54 64 110 76 25 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 0 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 4 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 1 1 1 1 1 1 1 2 3
27 64 116 159 167 133 81 38 18 14 18 55 31 8 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 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 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 2 3
21 60 119 166 170 131 76 33 10 5 9 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 4
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