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 2 3 3 4 4 5 6 7 10 12 13 13 12 12 12 12 12 14 16 17 15 11 7 5 5 8 12 14 14 13 11 10 9 8 7 7 8 8 8 8 7 7 6 6 5 5 4 4 3 3 3 3 4 5 7 9 13 16 15 11 8 8 10 10 9 8 7 7 7 8 8 8 7 7 6 5 3 2 2 4 6 7 7 7 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 8 8 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 nan
nan 2 2 3 3 4 4 5 5 6 7 8 9 9 8 6 6 6 6 7 8 10 10 9 7 5 4 4 6 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 6 5 5 5 4 4 3 3 3 4 4 4 6 8 12 16 18 15 9 7 8 9 9 8 7 7 7 8 8 8 7 7 6 5 5 3 1 1 3 6 7 7 7 6 6 6 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 6 6 6 nan
nan 2 3 3 4 4 4 5 4 4 5 6 6 6 6 6 5 6 6 7 7 7 6 5 4 3 4 5 5 4 4 4 5 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 4 4 4 5 6 9 14 18 18 14 10 8 8 8 8 7 7 7 7 8 8 8 7 7 6 5 5 3 1 0 3 5 7 7 7 6 6 6 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 nan
nan 3 3 4 4 4 4 4 3 3 3 4 5 6 7 8 8 8 8 7 7 5 4 4 3 3 4 5 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 6 10 15 17 15 11 9 9 8 8 7 7 7 7 8 8 9 8 7 6 6 5 4 1 -1 0 3 6 6 7 7 7 6 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 nan
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nan 5 6 6 5 4 4 4 4 5 6 7 8 9 8 8 7 6 5 5 5 6 6 6 6 5 6 6 6 6 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 7 11 14 12 8 5 5 5 6 7 7 7 8 8 8 7 6 5 5 3 1 -3 -4 -1 4 7 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 6 7 7 8 9 8 8 8 8 8 9 10 10 10 9 9 8 7 7 6 6 6 nan
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nan 8 8 7 7 7 7 7 7 8 7 7 8 8 8 7 7 6 6 6 6 7 7 7 6 7 8 8 8 8 8 8 8 7 7 7 7 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 6 6 6 7 7 7 6 6 6 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 6 3 -2 -4 -1 2 4 6 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 8 7 6 6 6 6 7 7 7 8 8 8 nan
nan 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 7 7 8 7 6 6 6 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 10 10 10 10 9 8 8 7 8 8 8 8 7 7 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 8 8 9 9 9 9 8 8 9 9 9 9 8 6 2 -1 -2 -1 1 3 5 6 6 5 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 6 6 6 6 7 7 8 8 8 8 8 nan
nan 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 7 6 7 8 8 9 8 7 7 7 7 7 8 8 8 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 10 10 10 9 9 8 7 7 8 8 8 8 7 7 7 6 7 7 7 7 6 7 7 7 8 8 9 9 8 7 7 8 8 8 8 8 8 7 8 8 9 8 8 8 7 4 1 -0 0 2 4 4 3 2 2 4 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 7 7 8 8 8 8 8 8 nan
nan 8 9 9 8 8 7 7 7 7 8 8 8 7 7 7 7 6 7 8 8 8 8 8 7 8 8 8 7 8 8 8 8 8 8 7 7 6 6 7 7 8 8 8 8 8 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 8 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 7 7 8 9 8 6 4 3 4 5 4 1 -1 -2 0 4 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 6 6 7 7 8 8 8 8 8 7 7 nan
nan 9 9 9 8 7 7 6 7 7 7 7 7 7 7 7 7 6 6 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 6 6 6 7 7 8 8 8 8 8 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 7 8 8 8 8 8 8 7 8 9 8 8 7 7 8 8 7 6 7 9 9 9 9 8 8 8 6 2 -2 -5 -3 2 6 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 7 6 nan
nan 9 8 8 7 7 6 6 7 7 7 7 7 7 7 7 7 6 7 7 8 9 10 10 10 10 9 8 7 7 8 8 7 7 7 7 6 6 7 8 8 9 9 9 9 9 9 9 10 10 11 11 10 9 8 8 8 8 9 8 8 8 8 7 7 7 7 6 6 6 7 6 7 7 7 7 8 8 7 7 7 8 9 8 8 8 8 8 7 7 7 8 8 9 9 10 10 9 9 8 5 -1 -5 -4 -0 3 5 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 8 8 8 7 6 6 nan
nan 8 8 8 8 7 6 7 7 7 7 7 7 7 7 7 6 7 7 7 8 9 9 10 9 9 8 7 6 6 7 7 6 6 6 6 6 7 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 6 7 7 8 8 9 9 10 10 9 9 8 7 3 -1 -2 -2 -0 2 5 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 6 5 nan
nan 8 8 9 8 7 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 5 5 5 6 6 6 6 6 6 7 8 9 9 9 10 11 11 11 11 11 10 10 10 10 11 11 10 9 9 9 9 9 9 10 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 6 6 7 8 8 8 9 10 10 10 8 8 7 6 4 2 -0 -2 -1 2 4 7 8 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 6 6 5 nan
nan 8 9 9 8 6 5 6 7 7 7 7 7 7 7 7 7 8 8 9 8 8 8 7 7 6 6 6 6 6 6 6 6 7 6 7 8 9 9 9 9 10 11 12 12 11 10 10 9 10 10 10 10 9 8 8 8 8 9 9 10 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 8 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 9 10 9 8 8 8 8 7 6 3 1 -0 -0 1 4 7 8 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 7 7 7 6 6 5 5 nan
nan 8 8 8 6 5 5 6 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 8 8 7 7 8 7 7 6 6 6 6 6 7 8 9 9 9 9 10 12 12 11 10 9 9 9 10 10 10 9 8 8 7 7 7 8 9 9 8 8 8 9 9 8 8 7 7 7 7 7 8 8 8 8 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 6 5 3 1 0 2 4 7 9 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 nan
nan 8 8 7 6 5 6 6 7 7 7 7 7 8 8 8 9 9 9 8 9 9 10 9 9 9 8 8 8 7 7 6 6 6 6 6 7 8 8 9 9 10 12 11 10 9 9 9 9 10 10 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 4 2 2 4 7 10 11 9 7 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 nan
nan 8 7 6 6 6 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 9 9 9 8 7 7 7 7 7 7 6 6 6 6 6 7 8 9 10 11 11 11 10 9 8 9 9 10 10 10 9 8 7 6 7 7 7 8 8 8 8 8 7 7 8 8 7 7 7 7 8 8 8 8 8 7 7 8 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 7 6 5 6 8 10 10 7 3 0 2 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 7 7 7 7 6 6 6 7 9 10 10 11 12 11 10 9 8 8 9 10 10 10 9 8 7 7 7 7 8 8 8 8 7 7 6 7 8 8 8 7 7 7 7 8 8 8 7 6 6 7 8 9 9 8 8 8 7 7 6 6 6 7 7 7 8 7 7 6 7 8 8 8 8 7 8 9 9 8 8 8 8 8 9 7 3 -4 -6 -0 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 6 6 7 8 8 8 8 8 9 9 8 7 7 7 7 7 7 8 8 8 8 8 9 8 8 8 8 7 7 7 7 7 7 6 6 7 8 9 10 11 12 11 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 6 5 5 6 7 7 8 7 7 7 7 7 8 8 7 6 6 7 7 8 8 9 9 8 8 7 6 6 5 6 6 7 7 6 6 6 7 7 7 7 7 7 8 9 9 8 8 8 8 8 6 3 -3 -8 -5 2 7 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 7 7 7 8 8 8 8 9 9 10 8 7 7 6 5 5 6 7 7 8 8 8 8 9 9 9 10 9 8 7 7 7 7 6 6 5 6 7 8 9 10 11 11 10 9 8 8 8 9 9 9 8 9 9 10 10 10 9 7 6 5 4 4 4 4 5 6 7 7 7 7 7 7 8 8 7 7 7 7 7 8 9 9 9 8 8 7 6 6 5 5 5 6 5 5 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 7 5 0 -6 -7 0 7 9 9 8 8 7 7 7 6 6 6 6 6 7 7 6 6 nan
nan 7 8 8 8 8 9 9 9 10 9 7 6 6 6 5 5 6 6 7 7 8 8 8 9 9 10 10 9 8 8 7 7 6 6 5 5 5 6 7 8 9 10 10 10 9 8 8 9 9 9 9 8 8 9 10 10 10 8 6 4 4 3 3 4 4 5 6 7 7 7 7 7 8 8 8 8 7 7 6 7 8 9 9 8 7 7 6 6 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 7 5 -1 -5 -3 5 10 10 9 8 8 8 7 7 6 6 6 6 6 7 7 6 6 nan
nan 8 8 7 8 9 10 10 10 9 8 7 6 6 6 6 6 6 6 7 7 7 7 8 8 9 9 9 8 8 9 9 8 6 6 6 5 5 5 6 8 9 9 10 10 10 9 9 8 8 8 8 8 9 9 9 9 8 6 5 4 4 4 5 6 6 6 7 7 8 8 8 8 9 9 8 8 7 6 5 6 8 8 8 7 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 7 5 1 -1 4 10 12 10 7 7 7 7 7 6 6 6 6 6 7 7 6 6 6 nan
nan 8 8 8 9 11 11 10 9 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 8 9 9 8 8 10 11 11 8 7 7 7 6 6 5 6 7 8 8 10 11 12 11 10 9 8 7 7 8 9 9 9 8 7 5 5 5 5 6 8 8 8 7 7 7 7 7 8 9 10 10 9 7 6 5 5 6 7 7 7 6 6 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 5 6 9 12 12 9 6 5 5 5 5 5 5 5 6 6 6 7 6 6 6 nan
nan 9 9 10 11 12 11 9 8 7 6 5 6 7 7 8 8 7 7 7 8 8 7 8 8 8 8 8 8 10 11 11 8 7 7 8 8 7 6 5 6 6 7 8 10 12 12 11 10 9 7 7 7 8 9 8 8 6 6 6 6 7 9 10 9 8 6 6 6 6 6 7 9 10 9 8 7 6 6 6 7 7 6 6 6 6 6 6 7 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 10 10 10 8 7 5 3 2 2 4 5 5 6 6 7 7 6 6 6 nan
nan 9 10 10 11 10 9 8 7 6 5 5 6 7 7 8 8 8 8 8 9 9 9 9 9 8 7 7 7 8 9 9 8 8 9 9 9 8 7 6 5 5 6 7 8 10 11 12 11 11 9 7 7 8 8 8 8 8 8 7 8 9 10 10 9 8 6 6 6 6 6 6 7 8 9 8 7 6 7 8 7 7 6 6 6 7 7 7 9 10 10 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 4 0 -2 -2 2 5 5 6 6 7 7 7 6 6 nan
nan 9 9 10 9 9 8 7 6 5 4 5 6 7 7 8 8 9 9 9 9 9 9 9 8 8 7 7 6 7 8 8 9 9 10 10 10 9 8 7 6 6 6 6 7 8 10 11 11 10 9 9 9 9 9 9 10 10 10 9 9 9 10 10 9 8 7 6 6 7 6 6 7 8 7 7 7 7 8 9 8 7 6 7 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 7 7 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 5 4 4 1 -2 -6 -4 2 4 6 6 7 7 7 7 6 6 nan
nan 8 9 8 8 7 7 7 6 5 5 5 6 7 8 8 9 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 10 9 9 9 8 7 7 7 7 7 8 8 9 9 9 10 10 10 10 11 11 12 12 11 10 8 8 9 9 10 9 8 7 8 7 7 7 7 7 7 6 6 8 9 9 9 8 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 9 9 8 8 8 8 6 3 -1 -2 -1 -2 -5 -7 -3 2 5 6 6 7 7 7 7 6 6 nan
nan 8 8 7 7 7 8 7 7 6 6 6 7 7 8 9 10 9 9 8 7 7 7 7 7 7 7 8 8 9 10 9 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 8 8 9 10 11 11 11 12 12 13 13 12 10 8 7 8 9 9 9 8 8 8 7 7 8 8 7 6 5 6 8 9 9 9 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 9 9 8 8 8 8 5 0 -3 -4 -2 -1 -2 -2 2 4 5 6 7 7 7 7 7 6 6 nan
nan 8 8 7 7 8 9 8 7 6 6 7 8 8 8 9 9 9 8 7 7 7 7 7 7 8 8 10 11 11 11 9 8 8 9 9 9 8 9 8 8 7 7 7 7 7 7 8 8 9 9 10 10 10 11 11 12 12 12 10 9 8 8 8 8 8 8 8 8 7 7 8 9 8 6 6 7 8 9 9 8 8 8 9 9 9 10 10 10 10 10 9 8 8 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 8 7 7 7 4 1 0 1 2 3 2 3 5 5 6 6 7 7 7 7 6 6 6 nan
nan 8 8 7 7 8 8 8 7 7 7 7 8 8 8 8 9 8 7 7 7 7 8 8 8 8 9 11 11 11 9 8 8 8 9 9 9 8 8 8 8 7 7 8 8 7 7 7 8 8 8 8 8 9 9 9 10 11 11 10 10 9 8 8 8 8 8 8 8 7 7 8 8 9 8 7 8 8 8 8 7 7 8 8 9 9 9 9 10 10 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 8 8 7 7 7 8 8 6 5 5 5 5 5 3 2 3 4 5 5 6 6 7 6 6 6 6 6 nan
nan 8 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 8 9 9 9 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 8 8 8 10 10 9 8 7 7 6 6 7 8 8 9 9 8 7 7 7 8 8 9 9 9 9 10 10 10 9 9 9 10 9 9 9 9 10 10 10 9 9 10 10 10 10 9 8 7 7 8 9 8 7 7 7 7 6 4 0 -1 0 3 4 5 6 6 6 6 6 7 7 7 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
32 43 66 70 55 18 37 84 125 157 281 516 784 972 1001 938 909 906 870 736 743 923 1003 908 709 503 386 378 523 756 919 799 509 257 130 95 81 57 33 17 9 7 8 10 7 10 10 12 16 20 22 22 21 17 6 4 9 12 13 14 18 18 13 5 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 1 0 0 0 0 2 13 30 53 85 105 118 134 152 166 155 130 115 119 132 153 171 169 158 155 169 200 269 455 791 920 739 476 344 288 258 230 204 190 190 200 232 277 322 349 384 450 529 588 598 566 538 487 439
37 78 115 130 78 50 66 110 236 377 578 835 1019 987 722 394 294 465 552 537 626 762 889 987 974 820 654 608 840 929 873 807 712 559 420 310 210 136 84 43 48 51 51 42 37 34 27 24 30 37 36 23 17 15 12 14 16 14 10 9 10 8 9 2 0 0 0 0 0 0 0 0 0 0 0 0 2 9 14 13 11 8 5 4 2 1 5 21 40 76 110 130 145 160 178 183 155 128 103 105 117 145 169 173 159 164 200 238 260 268 321 268 210 257 290 303 309 305 282 249 223 226 267 303 331 331 307 299 323 378 458 523 556 565 553
46 122 186 198 108 74 98 173 314 467 602 732 789 617 315 121 227 427 503 528 505 503 621 840 1039 1103 981 763 907 690 492 568 675 648 526 403 319 256 195 179 188 193 194 187 151 117 100 79 63 64 49 23 16 21 23 20 15 8 4 3 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 3 12 22 27 24 23 26 29 24 11 10 10 28 52 90 120 141 164 186 189 162 110 86 84 89 102 127 150 153 155 187 242 291 308 268 243 209 202 233 269 304 349 374 332 278 249 250 271 304 325 320 285 249 252 278 326 395 445 504 552
183 300 349 278 176 130 165 229 255 275 298 315 324 260 160 160 415 561 529 505 559 562 529 598 814 997 989 783 678 414 335 449 520 449 325 263 274 256 226 279 266 252 278 274 209 165 151 126 108 68 37 22 28 29 21 13 6 1 0 1 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 18 23 21 24 39 57 60 42 36 28 41 66 95 119 136 156 178 171 140 108 91 86 90 102 120 139 156 173 203 237 257 287 287 289 279 283 295 289 287 343 410 401 356 333 347 353 356 352 332 294 259 250 249 270 304 332 361 400
488 534 501 373 272 201 200 202 154 123 146 182 253 406 566 669 776 810 644 463 384 417 443 474 633 721 659 574 451 321 303 340 312 229 168 136 135 126 119 114 124 137 140 122 105 99 93 71 45 25 22 33 34 18 7 4 2 1 0 1 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 6 8 9 13 29 55 69 51 38 36 48 72 94 111 123 131 139 137 126 109 98 97 101 112 131 156 182 203 221 234 233 260 296 342 381 400 388 354 298 330 408 448 477 492 512 521 503 464 411 356 313 291 267 261 269 278 275 279
726 617 516 322 267 206 188 159 112 125 215 301 428 713 1006 1245 1451 1305 1009 862 808 674 535 544 606 651 503 379 338 292 233 201 170 130 127 108 91 85 82 82 82 80 70 62 54 40 31 21 9 8 10 12 5 3 2 2 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 9 20 46 43 33 25 32 59 84 93 103 110 107 100 101 102 102 107 114 130 157 179 201 215 226 247 267 295 334 371 383 392 447 457 430 462 554 579 620 640 662 723 743 698 592 512 442 392 345 308 291 283 268 258
904 648 514 275 230 263 247 176 117 142 228 297 459 791 1041 1220 1343 1273 1116 995 893 788 718 675 665 611 504 414 361 299 232 180 138 125 134 120 108 113 113 105 93 81 62 46 37 19 9 7 6 6 5 4 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 23 26 17 5 1 6 23 45 57 77 90 85 81 78 79 85 94 103 118 138 160 190 202 213 239 276 312 342 367 410 497 506 540 663 1078 1169 970 752 639 686 866 1023 1029 901 839 720 571 469 407 360 345 326 303
979 744 672 518 388 344 283 191 128 136 222 373 640 866 919 951 954 929 873 795 709 648 666 659 707 592 503 484 431 349 278 219 176 164 159 144 118 133 133 114 97 82 62 38 18 9 6 5 5 6 5 4 3 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 23 12 5 1 0 0 0 1 7 22 49 68 72 72 69 67 68 72 76 82 89 102 125 139 159 193 241 288 316 327 357 392 418 471 646 1127 1307 1115 768 572 646 969 1217 1260 1241 1163 999 787 646 580 522 524 517 452
1017 779 687 600 460 322 211 142 131 209 413 668 863 831 719 667 632 559 515 564 619 604 784 740 769 672 604 549 460 364 282 218 175 153 126 196 145 129 123 107 85 65 46 25 8 7 7 5 6 5 4 3 2 1 2 2 2 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 14 4 0 0 0 0 0 0 0 6 27 49 55 57 60 61 60 59 56 60 61 59 66 79 102 136 180 227 258 273 295 304 296 311 368 534 660 634 568 587 690 1109 1334 1500 1545 1384 1124 946 872 798 733 715 669 585
879 736 604 448 305 198 136 128 205 407 681 862 846 669 490 408 379 324 294 445 676 601 851 776 749 677 612 538 443 345 261 188 145 144 118 118 130 115 91 72 51 31 21 12 6 6 6 5 5 4 3 2 1 2 2 3 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 1 0 0 0 0 0 0 0 1 10 28 46 56 56 54 50 50 46 47 45 43 44 42 50 76 112 150 184 212 248 267 268 272 291 316 337 349 391 527 779 1041 1316 1551 1599 1422 1204 1081 910 769 652 590 550 509
765 635 469 275 157 121 141 221 387 626 825 854 702 486 321 253 248 237 221 344 620 541 647 643 608 550 502 472 416 339 290 259 197 150 111 83 77 70 55 40 22 6 6 6 5 5 5 4 3 2 2 1 1 2 2 2 2 2 2 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 2 14 35 52 56 55 47 47 45 39 35 34 35 34 33 41 61 86 118 151 191 219 243 265 284 296 290 267 262 289 390 597 876 1126 1193 1027 768 597 560 506 415 382 391 410
725 456 281 158 110 146 248 401 587 761 836 745 538 345 241 198 187 199 254 377 489 453 488 523 506 446 399 383 350 290 254 215 157 116 88 69 52 33 20 14 8 5 5 4 3 3 2 2 1 1 1 2 2 2 2 2 2 1 2 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 1 8 21 36 53 53 47 46 42 34 31 33 32 30 30 34 41 55 81 107 135 161 186 213 248 271 273 250 228 227 257 308 425 550 550 488 428 379 365 372 357 337 347 393
527 279 168 135 166 263 404 559 711 810 771 605 418 269 206 179 186 270 419 536 568 550 558 539 464 350 273 254 240 202 172 141 109 81 57 35 14 5 5 6 5 4 3 2 1 0 0 0 0 1 2 1 1 2 1 1 1 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 0 0 0 0 0 3 10 20 32 38 40 40 38 34 32 32 30 28 31 36 45 55 71 89 106 126 152 177 208 238 261 270 272 268 260 261 282 335 380 443 473 479 478 470 455 434 416 445
310 190 126 153 270 428 563 651 743 783 663 459 344 253 196 160 148 200 344 528 664 694 661 521 350 217 157 151 154 135 107 78 58 44 25 11 6 5 5 4 3 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 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 2 6 16 22 27 32 36 37 36 35 36 36 36 45 54 66 76 85 94 106 123 145 161 173 194 222 257 288 306 310 313 318 373 482 564 593 597 578 557 548 532 514 452
232 164 140 205 359 542 667 695 693 689 545 358 283 250 219 200 209 254 368 551 677 684 600 395 207 113 93 98 100 87 61 31 20 16 9 6 5 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 6 0 0 0 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 3 5 9 17 21 25 32 38 42 47 50 53 57 72 85 98 111 120 126 133 144 157 163 162 160 163 174 193 217 244 263 280 300 355 414 465 499 504 492 490 504 473 411 319
172 144 169 241 358 502 604 624 588 564 453 319 248 219 197 192 225 306 467 607 612 572 422 231 99 53 55 61 58 61 37 22 14 8 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 1 2 5 7 8 13 20 27 35 45 54 63 73 82 93 102 115 130 145 159 172 181 184 187 193 198 196 186 176 169 168 173 181 195 210 221 240 285 322 347 358 369 378 368 384 381 349 295
91 98 133 186 265 370 445 477 474 456 394 299 236 195 164 162 207 314 427 438 418 347 216 101 38 22 27 27 27 49 28 13 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 2 4 6 11 18 23 26 34 53 72 86 95 102 113 127 139 151 166 183 194 205 215 222 228 228 230 233 235 228 214 200 193 191 195 203 207 211 221 233 252 269 282 293 301 310 296 302 330 355 355
59 61 70 100 165 252 312 356 392 376 339 277 199 150 153 172 179 175 180 190 180 154 122 74 25 9 13 18 20 27 15 6 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 0 0 0 0 1 2 3 4 5 10 17 25 34 45 54 61 76 100 124 138 144 146 152 165 179 191 205 222 233 240 245 247 249 246 248 247 246 235 221 211 208 207 214 225 224 220 222 225 224 221 226 243 257 264 263 253 271 312 350
29 31 43 71 117 176 219 256 316 302 284 230 155 125 149 164 153 139 124 92 79 92 111 87 36 20 19 20 14 9 6 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 0 0 0 0 0 0 0 0 4 9 10 11 15 21 30 43 57 72 84 93 101 115 131 142 144 148 153 157 169 186 199 213 229 238 239 238 235 237 229 227 225 219 207 199 197 197 191 193 197 198 196 195 193 186 176 170 177 185 187 196 187 193 219 244
7 14 31 57 88 122 167 178 245 247 233 185 134 120 128 129 135 139 108 65 61 83 103 101 77 59 36 10 6 4 4 2 1 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 4 11 15 16 20 27 38 60 84 99 111 115 114 119 127 132 128 122 126 135 145 162 182 190 194 203 208 205 197 190 187 179 170 161 153 148 146 147 145 143 144 146 147 146 145 145 139 130 122 113 104 104 108 115 125 136 136
5 14 32 52 64 76 120 128 178 196 183 145 110 97 91 91 107 105 70 54 56 73 97 116 125 122 75 18 7 7 5 2 1 1 6 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 3 9 14 16 18 23 34 53 80 108 118 117 110 100 94 96 96 88 94 99 107 121 128 140 150 154 153 150 145 139 139 134 126 118 111 103 95 91 91 90 87 89 93 95 97 101 100 97 90 85 78 71 64 62 63 67 77 88 90
4 9 18 31 39 45 73 112 155 176 164 120 74 57 50 59 77 82 64 51 49 57 74 101 137 169 143 90 49 32 27 18 6 1 6 11 1 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 10 19 20 21 25 33 49 79 108 125 113 95 78 67 68 76 84 81 84 91 96 103 105 106 106 103 101 98 93 94 90 85 78 70 66 64 62 60 57 57 57 60 65 70 75 79 80 73 62 52 43 34 30 34 37 43 57 70 73
3 3 6 15 23 38 62 107 151 175 149 91 53 43 36 44 52 50 39 30 25 28 38 56 101 129 182 160 99 75 87 84 48 16 7 10 6 11 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 8 18 21 26 35 47 64 79 84 80 74 67 61 60 66 76 85 88 89 87 87 87 86 86 85 84 79 78 74 69 66 63 59 55 52 49 47 44 41 42 46 49 51 56 60 65 67 60 46 36 31 28 28 30 32 38 51 61 64
2 2 3 6 15 35 67 109 160 191 147 67 42 34 27 27 27 22 12 3 1 3 6 8 38 43 109 103 69 66 87 89 54 27 24 13 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 0 0 0 0 0 0 0 4 14 23 32 42 52 59 59 55 52 53 55 56 58 63 71 78 75 78 76 76 76 76 76 76 75 74 72 69 66 62 58 55 51 48 44 39 35 34 34 36 38 41 46 47 48 52 47 38 32 29 28 29 30 31 33 40 49 58
1 2 2 3 7 23 60 113 187 187 114 60 41 28 20 16 9 5 1 0 0 0 0 0 0 4 22 22 16 17 23 23 14 2 8 7 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 5 13 22 32 41 43 41 42 42 44 49 52 52 52 53 60 66 65 64 64 64 64 64 64 63 62 59 58 58 56 54 50 48 46 41 35 33 31 29 29 28 29 33 36 32 39 38 35 32 29 27 27 28 28 28 30 36 46 53
0 1 2 2 3 10 56 124 184 167 96 55 34 17 12 9 2 0 0 0 0 0 0 0 0 0 0 1 0 1 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 4 12 21 31 37 36 33 38 42 46 49 49 47 44 43 47 51 52 53 54 55 54 52 51 51 49 48 46 45 44 44 41 40 37 31 28 28 26 25 24 24 24 25 27 27 27 28 28 28 26 24 24 23 23 23 26 33 40 44
0 1 2 2 3 18 68 125 148 120 67 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 19 29 36 37 36 38 41 43 44 44 40 36 37 39 40 40 41 43 45 43 41 42 42 39 36 35 33 32 32 33 31 28 25 24 22 22 22 21 19 19 20 23 23 23 23 23 22 20 19 18 17 17 19 23 27 31 35
0 1 2 2 9 38 82 109 86 41 18 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 1 4 15 25 32 36 37 37 36 36 36 34 32 33 35 36 36 35 35 36 37 35 35 36 35 32 30 29 24 21 21 22 21 19 18 17 18 17 17 16 13 9 10 13 15 16 16 15 15 14 14 13 12 12 15 19 21 23 27
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