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 7 7 7 6 6 6 6 6 6 6 7 7 9 9 8 6 6 6 6 6 6 6 5 5 5 6 7 8 10 10 9 7 5 5 5 5 6 7 7 8 8 8 8 8 8 7 7 8 9 10 10 9 6 4 4 4 4 4 5 7 7 7 6 6 6 6 6 6 5 5 5 4 5 6 7 8 8 7 3 -0 -2 1 4 5 5 5 5 5 5 5 6 6 7 7 8 9 10 10 10 9 8 8 7 8 9 10 11 11 10 9 7 7 7 7 7 8 9 10 11 13 16 19 21 23 25 25 23 19 16 14 13 12 11 nan
nan 7 7 7 6 6 5 5 6 8 10 12 13 14 13 10 7 6 5 5 5 5 5 4 4 4 4 5 6 6 6 5 5 5 5 6 7 7 8 8 8 8 8 8 8 7 7 7 8 9 10 9 7 5 3 2 2 2 2 3 6 9 9 7 6 6 6 6 6 6 5 5 4 4 5 7 7 7 7 4 -1 -3 -1 3 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 5 5 6 6 8 9 11 14 17 20 23 25 25 24 22 19 18 17 16 nan
nan 6 6 6 6 5 5 6 8 10 13 16 17 16 13 9 7 6 5 5 5 4 4 4 4 4 4 4 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 8 6 3 2 1 1 0 -0 -0 3 7 9 8 6 6 6 7 7 7 6 7 6 5 5 7 6 6 6 4 1 -1 1 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 5 6 8 9 11 14 17 20 22 23 22 21 20 20 20 nan
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nan 9 7 5 5 5 6 6 6 6 7 7 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 7 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 9 9 7 6 5 4 5 5 7 9 9 6 4 4 5 6 6 6 6 6 5 4 5 7 8 9 9 8 6 3 2 3 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 3 3 4 4 4 4 4 4 4 5 5 6 6 6 6 7 7 7 nan
nan 8 5 4 5 5 6 6 5 5 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 10 11 10 9 8 7 6 5 5 5 6 9 11 11 9 6 4 5 5 6 6 6 6 6 5 5 6 7 8 8 7 4 2 1 4 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 5 5 5 5 4 nan
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nan 8 8 7 7 8 8 8 8 8 8 8 8 9 8 8 7 7 7 6 6 6 6 6 7 7 6 6 6 7 7 7 7 8 8 7 7 6 6 6 7 7 7 8 8 8 7 7 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 9 9 8 8 8 8 7 4 2 2 4 6 7 7 7 7 7 7 7 7 7 7 7 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 7 7 7 nan
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nan 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 6 5 6 7 8 9 9 8 8 7 7 6 6 6 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 9 9 8 8 7 7 7 6 7 7 8 8 8 8 8 7 7 7 7 6 6 6 6 6 7 8 8 8 8 9 9 9 9 9 9 8 4 0 -2 -0 2 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 8 7 7 7 7 7 6 6 6 6 7 7 nan
nan 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 5 6 6 7 8 9 9 9 8 7 7 6 6 6 6 7 7 7 8 8 8 8 8 9 9 8 8 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 6 6 6 6 6 5 5 6 6 6 7 8 8 8 8 9 9 9 9 8 8 6 2 -1 -1 0 2 4 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 7 7 6 6 6 6 6 7 7 nan
nan 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 7 7 6 6 6 7 8 9 9 9 8 8 7 7 6 6 6 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 6 5 5 5 5 5 5 5 6 6 6 7 7 8 8 8 8 8 8 8 8 8 7 5 3 1 0 1 2 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 4 4 4 5 5 6 6 7 7 7 7 7 6 6 6 6 6 6 6 7 nan
nan 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 7 8 9 9 9 9 9 8 7 7 6 7 8 9 9 10 10 9 8 8 7 6 6 6 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 10 10 10 9 9 9 9 9 8 7 5 5 5 5 5 5 6 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 6 5 3 2 2 3 3 2 1 1 2 3 4 4 4 5 5 5 5 5 5 5 4 4 5 5 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 8 8 9 9 8 7 6 7 7 7 7 8 7 7 7 6 6 6 7 8 9 9 10 10 10 9 8 7 7 7 8 9 11 12 11 10 9 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 8 7 6 6 6 6 6 6 7 8 8 8 7 7 7 8 8 8 8 8 7 7 7 6 6 7 7 6 5 4 4 5 5 3 1 -1 0 2 3 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 6 6 7 6 6 6 6 6 6 nan
nan 8 8 8 8 8 6 6 7 7 7 7 8 8 7 7 6 6 6 6 7 9 9 10 10 10 9 8 8 8 8 8 9 10 11 11 10 9 9 8 8 8 7 7 7 7 6 6 6 6 7 8 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 7 6 6 6 6 6 6 6 6 6 7 7 5 2 -1 -0 2 3 4 5 5 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 nan
nan 8 8 7 7 7 6 6 7 7 8 8 8 8 7 7 6 6 6 6 7 8 8 9 9 9 8 7 6 7 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 6 6 6 6 6 7 8 9 9 9 9 9 10 10 10 10 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 6 6 5 5 6 6 7 7 7 7 6 4 2 2 2 2 3 5 6 6 7 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 nan
nan 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 6 6 6 7 7 7 7 6 6 5 5 6 7 7 7 6 6 7 8 9 9 9 9 8 8 7 6 6 6 6 6 7 7 8 8 8 8 8 9 9 10 10 10 10 9 9 8 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 7 6 7 7 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 7 7 6 6 4 3 2 3 4 6 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 6 6 6 7 7 7 7 6 6 6 nan
nan 8 8 8 8 7 7 6 7 8 8 8 8 8 8 7 7 7 7 7 7 8 7 7 6 5 5 4 5 5 6 6 7 6 6 6 7 8 8 9 9 9 8 7 6 6 7 7 7 8 8 8 7 7 7 7 7 8 8 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 8 8 9 8 7 7 6 7 7 8 9 9 8 8 7 7 6 6 6 6 7 8 8 8 8 7 7 8 7 5 4 4 4 5 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 6 6 6 7 7 7 7 6 6 6 nan
nan 8 8 8 7 7 6 6 7 8 8 8 8 8 8 7 8 8 8 8 9 9 9 8 7 6 6 6 6 6 6 7 7 6 6 6 6 7 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 8 7 7 6 6 6 7 7 8 8 8 8 8 8 7 7 8 8 9 9 9 8 8 9 8 8 7 7 7 7 7 8 8 9 8 8 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 7 6 6 5 5 6 7 8 8 8 7 7 7 6 6 6 6 6 5 6 6 6 7 7 7 7 7 7 6 6 nan
nan 8 8 7 7 6 5 5 7 8 8 7 7 8 8 8 9 9 10 10 10 10 9 8 7 7 7 7 7 6 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 8 8 7 7 8 8 9 9 9 8 8 7 7 6 6 6 6 7 7 7 8 9 8 7 7 8 9 8 8 8 9 8 8 7 7 7 8 8 7 7 8 8 8 8 8 8 8 8 8 9 10 10 9 8 8 8 8 8 8 8 7 7 6 5 5 7 8 10 10 9 8 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 nan
nan 8 7 7 6 6 5 6 6 7 7 7 6 7 8 10 11 11 10 10 10 9 9 8 7 7 7 7 6 6 6 7 7 7 8 8 7 7 7 8 9 9 9 9 9 9 8 7 7 6 7 8 9 9 9 9 8 8 7 6 5 6 5 4 5 7 8 8 7 7 8 8 8 8 9 9 8 7 7 7 8 9 9 8 7 7 8 8 8 8 9 9 9 10 10 10 10 8 8 8 8 8 8 8 8 8 8 7 7 7 7 9 10 10 9 6 4 3 5 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 nan
nan 8 7 6 6 6 6 6 7 7 7 6 6 7 8 10 11 11 10 9 9 8 7 7 6 6 6 6 6 6 6 7 7 8 9 9 8 8 8 9 10 10 10 9 9 9 8 7 6 6 7 7 8 8 8 9 9 8 7 6 6 5 4 3 4 6 8 8 7 7 8 8 8 8 8 9 8 7 7 8 9 10 9 8 8 8 8 8 9 9 9 9 10 10 11 10 9 8 8 8 9 9 8 8 8 8 9 8 8 8 8 8 9 8 5 1 -2 1 5 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 nan
nan 8 6 5 5 6 7 7 7 7 8 7 6 7 8 9 9 9 9 8 7 7 7 6 6 6 6 6 7 6 6 6 7 8 9 9 8 8 8 9 11 11 10 9 9 9 8 8 7 7 8 9 8 7 8 9 9 8 7 6 6 5 4 4 5 6 7 8 8 8 8 8 8 8 8 8 8 7 7 8 9 10 10 9 9 9 9 9 9 8 8 9 10 10 10 9 8 8 9 9 9 9 8 8 9 9 9 9 8 8 8 8 7 5 0 -4 -4 2 5 7 8 8 8 8 8 8 8 8 7 7 7 6 6 6 nan
nan 8 6 5 5 6 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 6 6 7 6 6 7 8 8 8 7 6 6 6 7 7 7 6 7 8 10 11 10 9 9 8 7 7 8 9 10 10 8 7 7 8 9 8 7 6 5 5 4 5 5 5 6 7 8 9 9 8 8 7 7 8 8 8 7 8 9 10 11 11 10 10 10 9 8 8 8 8 8 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 3 -2 -5 -1 4 7 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 nan
nan 8 6 4 5 6 8 8 7 7 8 9 8 8 7 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 7 6 6 6 6 5 5 5 7 9 11 11 10 9 7 6 6 7 8 10 10 9 7 7 8 8 8 7 6 6 5 5 5 6 6 5 6 8 8 8 8 8 7 7 8 8 8 7 7 8 10 11 12 11 10 9 8 8 7 7 7 7 7 6 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 6 2 -2 -2 3 7 9 9 9 9 9 8 8 8 8 7 7 6 6 6 6 6 nan
nan 8 6 4 5 7 8 8 8 8 8 9 8 8 7 7 7 7 7 7 6 6 6 6 6 7 7 7 8 8 8 8 7 6 6 5 5 4 5 6 8 10 11 11 9 8 7 6 7 8 8 8 8 9 9 9 8 8 8 7 6 5 5 6 7 6 6 6 7 7 7 7 7 8 8 8 8 7 6 6 7 9 11 11 10 8 7 7 6 6 6 6 6 6 7 8 8 8 9 9 9 9 9 10 10 9 8 8 8 8 9 8 6 2 1 3 9 12 11 9 9 9 9 9 8 8 7 7 6 6 6 6 6 6 nan
nan 8 7 5 6 8 9 8 8 8 8 8 8 8 7 8 8 8 8 7 7 6 6 6 7 7 8 8 7 8 9 8 7 6 6 6 6 5 5 6 7 9 10 11 11 9 8 7 7 7 7 7 7 8 9 9 8 8 8 8 7 7 7 8 8 7 7 6 6 6 5 6 7 8 8 8 7 6 6 6 7 9 10 10 8 7 6 6 6 7 7 6 6 7 8 8 8 8 8 9 9 9 9 9 10 10 9 8 8 8 8 8 7 5 6 11 14 14 11 10 9 9 9 8 7 7 7 6 6 6 6 6 6 6 nan
nan 8 7 6 8 10 9 8 8 7 7 7 8 8 8 8 8 8 8 8 7 8 8 7 8 8 8 7 8 8 9 8 6 6 7 8 8 7 6 5 6 7 9 10 11 11 10 9 8 8 7 6 6 7 7 8 8 8 9 9 8 8 9 10 9 8 7 7 7 6 6 6 7 7 7 7 6 5 6 7 8 8 8 8 7 7 6 6 7 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 10 9 9 8 8 8 8 8 9 11 13 12 11 10 9 8 7 6 6 7 6 6 6 6 6 6 6 6 nan
nan 7 6 7 9 10 10 9 7 6 6 6 7 7 8 8 8 8 8 8 8 9 9 9 8 8 7 6 7 7 7 6 6 7 8 9 9 8 6 5 5 6 7 9 11 11 10 10 10 9 8 7 7 7 7 8 9 10 11 10 9 9 9 10 10 9 8 8 8 7 7 7 7 7 7 6 6 5 6 7 8 7 7 7 7 7 6 7 8 9 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 10 10 9 9 8 9 8 8 8 9 9 9 10 10 8 6 3 3 5 6 6 6 6 6 6 6 6 6 nan
nan 7 6 7 9 10 10 9 7 5 5 6 6 7 7 8 8 8 9 9 9 9 9 9 9 8 7 6 6 6 6 6 7 8 10 10 10 8 7 5 5 5 7 8 9 10 10 10 10 10 9 9 9 10 10 11 11 12 12 10 9 8 8 9 10 9 9 9 9 9 8 8 7 7 7 7 6 6 6 7 7 7 7 7 7 7 6 7 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 7 7 8 8 6 3 -0 1 5 6 6 6 6 6 6 6 6 6 nan
nan 6 6 7 8 10 11 10 7 5 5 5 6 6 7 8 9 9 10 10 9 8 8 8 8 8 7 7 7 7 7 8 8 8 9 10 10 9 7 6 6 5 6 7 8 9 9 9 9 9 9 10 11 12 12 13 13 13 12 10 8 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 7 8 9 9 9 9 9 9 9 9 10 11 10 9 9 9 9 7 4 3 3 3 4 1 -1 2 5 6 6 6 6 6 6 6 6 6 nan
nan 7 7 8 8 9 10 10 8 6 6 6 6 7 8 9 10 10 10 10 9 7 7 7 7 8 8 9 9 9 10 10 9 8 8 9 9 9 8 7 6 6 6 7 7 7 7 7 7 8 9 10 11 12 13 14 14 14 12 10 9 8 8 9 9 9 8 8 9 9 9 10 10 10 10 9 9 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 10 11 10 9 8 8 8 6 1 -1 -1 1 3 1 2 4 6 6 6 6 6 6 6 6 7 7 nan
nan 8 8 8 8 8 9 9 7 6 6 7 7 8 8 9 10 10 10 9 7 7 7 7 8 8 9 10 11 11 11 11 10 9 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 8 8 9 10 11 12 14 14 13 12 10 10 10 9 9 8 8 8 8 8 9 10 11 11 10 10 9 9 9 10 10 10 9 9 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 8 8 8 7 4 1 -1 -1 2 3 3 4 6 6 6 6 6 6 6 7 7 7 7 nan
nan 8 8 8 8 8 9 8 7 6 6 7 8 8 8 9 10 10 9 8 7 7 8 8 8 9 10 11 12 11 11 10 9 9 8 8 8 8 9 9 8 7 7 7 7 7 6 7 7 7 7 7 7 7 8 9 11 12 12 12 12 11 10 10 10 9 9 9 8 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 10 10 9 8 8 8 8 8 7 6 4 4 3 3 2 2 4 6 6 6 7 7 7 7 7 7 8 8 nan
nan 8 8 8 8 8 8 7 7 6 6 7 7 7 8 9 10 10 9 8 8 8 9 9 9 9 9 10 10 9 9 9 8 8 8 8 9 9 10 10 9 8 7 7 7 8 7 7 7 7 7 7 7 7 6 7 8 9 10 11 10 9 9 9 10 10 10 9 8 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 8 8 7 6 2 -1 -1 3 6 7 7 7 7 7 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
47 47 44 33 21 16 13 26 16 12 29 34 36 50 42 33 64 139 144 173 81 61 64 57 60 102 220 423 658 789 753 589 397 260 183 123 70 37 26 19 14 8 4 1 0 0 0 0 2 7 15 18 19 20 20 14 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 36 103 234 396 470 463 478 502 559 680 832 900 835 757 654 545 506 574 727 892 852 707 576 478 504 595 728 837 889 874 857 922 894 816 787 786 905 978 997 1005 985 926 885 787 671 544 396 253 143 74 38 24 14 7 6
41 42 39 30 17 12 11 16 12 8 13 37 90 162 236 322 327 316 175 138 82 72 71 60 76 128 202 307 416 404 328 263 179 108 63 38 23 14 10 7 5 2 1 0 0 0 0 0 1 6 12 16 15 14 12 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 42 130 252 335 370 368 359 438 504 627 655 610 551 480 406 374 419 477 531 485 444 400 354 343 357 364 399 468 460 409 333 321 388 435 510 618 703 776 870 884 835 821 750 683 630 572 454 300 201 134 91 58 44 38
41 40 40 33 22 15 13 31 85 173 268 364 490 651 781 852 576 311 170 121 89 77 79 92 122 157 157 171 174 137 85 60 44 30 19 11 6 2 1 0 0 0 0 0 0 0 0 0 0 2 10 12 11 9 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 22 64 129 192 252 310 307 404 398 415 427 430 426 397 343 298 283 281 303 306 325 327 306 298 295 262 242 228 253 255 254 264 281 313 352 379 391 414 477 592 652 659 628 571 534 543 533 445 352 279 231 191 162 148
39 36 41 46 45 47 65 175 385 643 885 1039 1073 1043 928 682 379 252 198 174 164 146 114 92 106 110 72 64 53 39 25 17 12 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 7 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 15 32 56 84 124 221 241 247 244 258 283 291 276 274 286 300 277 257 269 295 302 295 306 320 294 264 258 205 229 234 230 228 229 228 225 226 230 235 252 307 378 435 475 485 520 590 590 527 463 425 403 395 397 390
56 64 101 128 162 250 436 613 769 913 1014 1039 973 821 640 451 344 289 237 190 155 124 81 45 52 42 29 23 16 11 6 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 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 2 6 10 16 23 29 38 50 93 130 152 177 204 223 232 233 220 223 241 243 231 229 240 243 243 250 246 241 244 248 214 218 217 207 194 188 188 186 191 194 197 194 198 214 253 308 379 490 641 746 629 535 509 511 528 566 626
308 364 376 336 372 535 818 856 747 676 635 601 551 471 401 345 309 259 198 138 91 64 48 36 25 16 11 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 6 11 21 24 24 29 34 46 65 89 117 144 157 158 156 146 142 151 168 180 188 198 207 206 196 191 200 204 209 205 194 185 176 163 152 143 135 136 144 150 147 155 160 158 178 228 294 351 426 492 466 458 463 479 512 564
881 868 627 447 409 463 534 491 400 353 331 309 280 259 239 211 176 140 104 74 55 44 36 22 8 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 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 2 7 13 23 22 22 24 27 32 37 43 54 68 77 79 73 71 75 88 102 115 127 138 148 155 150 140 131 135 143 140 131 126 117 108 102 90 77 73 77 85 94 107 117 117 117 124 156 180 192 229 265 277 287 310 333 353
995 675 303 291 302 304 279 238 202 180 162 140 124 118 111 101 84 67 50 34 24 18 12 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 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 2 7 16 20 19 18 19 24 28 30 32 32 34 37 40 40 44 49 54 58 62 70 73 78 81 88 84 79 80 83 80 72 67 65 61 56 54 49 44 43 45 51 61 74 81 81 85 104 127 146 159 164 156 148 163 178 185
606 310 182 209 222 210 180 144 115 97 83 67 56 51 48 44 36 29 21 14 8 4 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 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 8 15 19 19 17 17 18 21 24 24 23 24 24 25 27 29 32 35 37 39 42 42 43 42 42 43 45 46 49 49 47 45 46 45 44 43 40 36 34 34 34 35 40 49 57 65 73 88 121 150 143 119 96 91 95 93
313 213 181 173 161 142 117 92 74 60 48 36 28 24 20 16 11 8 6 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 1 2 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 2 5 10 13 16 18 18 17 17 17 18 18 14 13 13 15 16 17 18 20 22 25 26 27 28 26 26 25 24 25 27 29 29 30 32 35 37 36 34 32 33 33 29 29 28 33 40 42 46 54 64 76 94 92 77 68 65 64
231 197 156 123 104 91 77 63 49 35 24 16 10 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 1 3 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 1 1 8 11 14 16 18 18 18 18 16 15 12 8 7 7 7 7 7 8 11 12 13 13 15 15 15 18 20 20 19 18 17 16 18 20 22 22 21 22 28 32 26 24 23 24 25 27 33 37 37 39 50 58 56 52 47 44
181 137 99 74 62 54 45 37 26 15 8 5 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 1 4 5 4 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 5 9 11 14 16 19 18 16 14 12 10 7 6 5 5 5 4 3 5 5 5 6 8 10 11 12 14 15 16 15 14 12 11 11 11 10 9 11 19 22 20 19 17 16 15 16 20 21 22 25 30 37 40 38 35 30
121 77 48 35 30 25 19 13 8 4 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 2 4 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 1 3 6 9 12 15 16 15 14 11 9 7 5 5 4 5 5 4 4 4 4 4 5 7 8 8 8 7 8 9 10 10 10 10 9 8 8 6 5 8 9 12 14 12 9 7 8 8 10 11 11 14 19 22 23 24 22
70 37 16 9 9 7 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 0 0 0 0 0 0 0 0 1 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 2 3 5 8 10 13 13 14 13 10 8 6 5 5 4 4 4 4 4 4 4 5 5 7 7 7 6 4 4 4 4 5 5 5 6 5 6 4 3 3 4 6 7 6 6 5 5 4 5 6 7 8 9 10 11 11 11
39 17 6 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 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 1 2 3 8 10 12 13 13 12 9 7 7 6 5 4 3 3 3 3 3 4 5 6 7 6 6 4 4 3 3 2 2 2 2 2 2 3 3 2 2 3 3 3 3 3 4 4 4 4 5 6 7 7 7 6 6 7
25 14 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 6 8 10 11 11 9 7 7 7 7 6 4 3 3 3 3 3 4 4 4 5 6 6 4 3 2 2 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 6 6 6 6 7
25 17 10 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 0 0 0 0 0 0 0 0 0 0 1 2 3 5 6 7 9 10 10 8 6 6 8 8 6 4 3 3 3 3 4 4 3 4 4 4 4 3 3 2 2 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 4 5 5 6 7
27 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 6 7 9 9 7 5 5 7 6 4 2 1 1 2 2 3 3 2 3 3 4 4 3 3 3 2 2 2 2 1 1 2 2 3 2 2 2 1 1 2 3 2 2 2 2 2 2 3 5 5 4 4 6
14 5 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 0 0 0 0 0 0 0 0 0 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 3 5 5 5 6 7 8 7 4 4 5 4 2 1 0 0 0 1 2 2 1 2 2 3 3 3 3 3 2 3 3 2 1 2 2 2 3 3 3 4 4 3 4 5 4 3 3 4 5 4 4 5 5 4 4 4
0 2 7 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 4 4 4 6 7 6 3 3 3 2 1 0 0 0 0 0 1 1 0 1 2 2 2 2 2 2 3 3 2 2 1 1 1 3 3 4 4 4 4 5 6 6 6 5 5 6 6 6 6 6 5 5 5 4
0 4 11 12 3 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 0 0 0 0 0 1 2 2 3 3 3 3 3 4 4 3 2 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 2 3 3 3 3 2 2 1 1 1 3 4 4 5 5 5 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6
0 1 1 1 5 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 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 2 2 2 2 1 1 2 3 4 5 5 6 6 6 7 7 7 8 8 8 8 8 7 7 7 7 7
0 0 0 1 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 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 2 2 2 1 0 1 2 4 4 5 5 6 6 6 5 6 7 8 8 9 9 8 8 8 8 8
0 0 2 8 8 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 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 1 1 2 2 2 1 1 0 1 2 3 4 4 5 5 5 6 5 5 7 8 9 10 9 9 9 9 10 9
0 0 2 9 10 4 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 1 1 1 1 1 1 0 1 2 3 3 4 4 4 5 5 5 5 6 8 10 12 10 10 10 10 10 10
0 0 0 1 2 3 1 0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 3 4 4 5 5 5 4 4 5 9 9 9 9 10 10 10 10 10
0 0 0 0 0 2 1 0 0 0 1 2 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 0 0 0 0 0 0 0 0 0 0 0 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 2 2 3 4 5 5 5 4 4 4 5 7 8 9 9 10 9 10 10 10
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 4 4 5 5 3 3 5 7 8 8 8 9 9 9 9 10
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 4 5 4 3 3 4 5 6 7 8 8 8 8 8 9
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 1 2 3 3 4 3 3 4 4 4 3 3 4 5 6 7 7 8 8 9 9
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