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 5 6 6 5 4 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5 6 6 6 7 7 7 7 7 7 7 6 6 7 9 11 15 17 18 16 13 10 8 6 5 5 5 5 6 6 7 7 7 7 7 7 7 6 6 6 5 3 2 1 1 1 2 4 6 6 7 7 7 7 7 6 6 5 5 5 6 6 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 3 4 5 5 4 3 3 3 3 3 3 2 2 2 3 3 3 4 4 4 4 4 3 3 3 2 2 3 3 3 3 3 4 4 4 4 4 4 5 5 6 6 6 6 7 7 7 8 8 7 7 6 7 9 12 15 16 16 14 11 9 7 6 5 5 5 5 6 6 6 6 6 7 7 7 7 6 6 6 5 4 2 1 1 1 2 4 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 3 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 4 3 3 3 3 3 2 2 3 3 3 4 4 4 4 4 4 5 5 5 5 6 6 6 7 7 7 7 8 8 8 7 7 8 10 12 13 14 13 12 11 9 7 6 5 6 6 6 6 6 6 6 5 5 6 7 7 6 6 5 4 2 1 1 0 1 3 4 5 6 6 7 7 8 8 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 5 4 3 3 3 2 3 3 3 2 2 1 1 1 1 1 2 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 6 6 6 7 7 7 8 7 8 8 8 8 8 10 11 12 12 12 12 11 11 9 7 6 5 6 6 6 6 6 6 6 5 5 6 6 6 6 6 4 2 -0 -1 -0 0 1 3 4 5 6 6 7 7 8 8 8 8 8 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
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nan 11 12 11 10 7 6 5 4 4 4 3 3 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 6 6 7 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 11 12 12 13 13 12 10 9 8 7 7 7 7 7 5 3 3 5 7 8 8 7 7 6 6 6 5 4 4 3 3 3 2 3 4 5 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 nan
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nan 8 7 7 6 5 4 5 7 10 10 9 8 8 7 7 7 7 7 7 8 8 7 7 7 8 7 7 7 7 7 7 8 8 7 7 6 7 7 8 9 9 8 8 7 7 8 9 9 9 8 8 8 9 9 9 8 8 8 8 7 7 8 8 7 7 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 7 6 6 7 8 7 5 1 -2 -2 -1 0 1 2 3 3 2 1 2 3 4 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 8 8 nan
nan 8 7 7 6 5 5 6 9 11 10 9 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 7 7 6 6 6 7 8 9 8 7 7 7 8 9 9 8 8 8 8 8 9 9 9 8 8 8 8 7 8 7 7 7 7 6 6 7 8 8 7 7 8 9 9 10 10 10 9 9 9 9 8 6 6 6 7 7 8 7 4 2 1 1 1 1 2 4 4 3 2 1 2 3 4 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 nan
nan 7 7 6 6 6 6 8 10 11 10 9 8 7 7 7 7 7 7 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 5 5 6 8 8 8 7 7 7 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 6 6 7 7 8 8 7 6 5 4 2 2 4 6 7 6 5 2 1 1 2 3 4 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 nan
nan 6 6 6 7 7 7 9 10 10 9 8 8 7 7 7 7 7 8 8 9 9 9 8 8 7 8 8 8 8 8 7 7 7 6 6 5 5 4 5 6 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 8 8 8 9 8 8 8 8 9 9 8 8 7 7 6 7 8 9 9 8 7 6 6 5 4 5 7 11 11 9 6 2 0 0 1 1 2 3 4 5 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 nan
nan 6 6 7 7 7 7 9 11 10 9 8 8 8 7 7 7 7 8 8 8 9 9 8 8 7 8 8 9 9 9 8 7 6 6 6 6 6 5 5 6 7 8 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 8 8 9 8 8 8 7 7 7 7 8 8 9 9 8 7 7 7 6 5 6 9 11 11 9 6 2 0 0 0 0 1 1 3 4 5 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 nan
nan 6 6 7 7 7 8 10 11 11 10 9 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 8 8 9 9 9 8 8 8 9 8 8 7 6 6 8 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 8 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 7 7 8 9 9 9 9 8 8 8 7 6 6 7 9 9 9 8 5 2 1 1 1 0 -0 -0 1 2 3 4 5 6 7 7 8 8 8 7 7 7 7 8 9 9 10 10 10 10 10 10 9 nan
nan 6 6 6 7 8 9 11 11 10 10 9 9 8 8 8 8 8 8 7 6 6 7 7 7 7 7 7 8 8 9 10 11 11 11 11 10 9 8 8 8 9 10 11 11 11 10 10 10 10 10 11 11 10 9 8 7 6 6 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 9 9 10 10 10 9 9 8 8 8 9 9 10 10 9 8 8 9 8 7 7 7 8 8 8 7 6 5 5 4 3 1 0 -0 0 1 2 3 4 5 6 7 8 8 8 8 7 7 7 8 9 10 11 11 11 11 10 10 9 nan
nan 7 6 6 7 8 9 10 10 10 10 9 9 9 8 8 8 8 8 7 6 6 7 7 7 7 7 8 7 7 8 10 12 12 12 11 10 9 8 8 8 9 11 11 11 11 11 10 10 10 11 11 11 11 10 8 7 6 6 6 6 6 6 8 9 9 9 9 10 10 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 6 4 3 2 1 1 0 1 1 2 3 4 5 7 8 8 8 7 7 7 9 10 11 11 12 12 11 11 10 9 nan
nan 7 6 6 7 7 8 8 9 10 10 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 9 8 6 6 8 10 11 11 10 9 8 7 8 9 10 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 9 8 7 6 6 7 9 9 9 9 10 10 10 9 8 7 7 7 8 8 9 8 8 9 9 10 10 10 9 9 8 8 9 10 9 9 9 8 8 8 8 8 8 8 8 9 8 8 7 6 4 3 2 1 1 1 2 2 2 3 6 7 8 8 8 7 8 9 10 11 11 12 12 11 10 9 9 nan
nan 7 7 7 7 7 7 8 9 10 10 9 8 8 8 7 7 7 7 7 8 9 9 10 10 10 10 10 9 7 6 6 7 9 10 9 8 7 6 7 9 11 12 11 10 10 10 9 9 10 10 10 10 10 10 11 11 10 9 8 8 8 9 9 8 7 8 10 10 10 9 8 7 7 7 8 8 8 8 8 8 9 10 10 10 10 9 8 8 9 9 9 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 7 5 4 3 3 3 4 3 2 2 3 5 7 8 8 8 9 9 10 11 12 12 11 11 10 9 9 nan
nan 7 7 7 7 7 7 7 9 9 9 8 8 8 8 7 7 7 7 7 8 9 9 10 11 11 11 11 10 8 6 5 5 6 8 8 7 6 6 7 9 12 13 11 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 9 10 10 9 8 8 7 7 7 8 8 8 7 7 7 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 8 8 7 6 6 7 8 8 7 5 3 1 2 5 8 8 8 9 10 10 11 12 12 11 10 10 9 8 nan
nan 8 8 8 8 8 7 8 9 9 9 8 8 8 8 7 7 7 7 7 8 8 9 10 11 11 11 12 11 9 7 6 5 6 7 7 7 6 6 6 8 11 12 11 9 9 9 9 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 8 8 8 8 8 9 9 8 7 7 7 8 8 9 9 10 11 11 10 10 9 9 8 9 9 8 8 8 8 8 8 8 7 6 7 7 8 8 9 9 10 10 10 9 6 2 -1 1 4 6 8 8 9 10 11 11 11 11 11 10 9 8 8 nan
nan 9 9 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 8 8 8 8 8 9 9 10 11 12 11 10 8 8 7 7 8 8 8 8 7 6 7 10 11 11 10 9 10 9 8 8 9 9 9 9 9 9 10 10 10 10 10 9 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 11 12 11 10 9 9 9 9 8 7 8 9 9 9 8 7 6 6 7 8 9 9 9 9 9 9 8 6 3 -1 -2 1 4 6 7 8 9 10 11 11 11 11 10 10 9 8 8 nan
nan 9 9 9 8 8 7 7 8 9 10 9 8 6 6 6 6 7 8 8 8 8 8 8 8 9 10 11 11 10 10 9 9 8 9 10 10 9 8 7 7 9 10 10 10 10 11 11 9 8 8 8 8 8 9 9 10 10 10 10 8 6 5 6 7 8 9 9 9 9 9 9 9 9 10 10 9 9 9 10 9 9 8 8 9 9 10 11 12 11 10 9 9 9 9 8 8 9 10 10 10 9 7 7 7 7 8 9 10 10 9 8 7 5 2 -2 -3 -0 3 5 6 7 7 8 9 10 11 11 10 10 9 9 9 9 nan
nan 10 9 9 8 8 7 7 8 8 10 10 9 7 5 5 5 6 6 7 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 10 10 10 9 7 7 8 8 9 9 10 11 11 9 8 7 7 7 8 9 9 9 10 9 8 6 3 3 4 6 8 9 9 8 8 8 8 9 9 9 9 9 9 10 11 11 10 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 11 11 10 9 8 8 8 7 8 9 10 10 9 8 6 3 -0 -2 -0 3 6 6 6 6 6 7 8 9 10 10 10 10 9 9 9 9 nan
nan 10 9 9 8 8 8 8 8 8 10 11 10 8 7 5 5 5 6 7 8 8 8 8 8 9 9 9 9 10 10 11 11 10 9 9 9 9 9 8 7 7 8 8 8 8 9 9 10 9 9 8 8 8 8 8 8 9 9 6 4 2 2 4 7 9 10 9 8 8 8 8 8 8 8 8 9 9 10 10 10 11 10 10 9 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 9 9 8 8 7 8 9 10 10 8 6 2 -1 -1 3 6 8 8 6 6 5 5 6 8 9 9 9 9 9 9 9 9 nan
nan 10 9 9 8 8 9 8 8 8 9 10 10 9 8 7 7 6 6 7 7 7 8 8 8 8 8 9 9 10 10 10 10 10 9 8 8 8 8 9 8 7 7 8 8 8 8 8 9 10 10 10 10 9 8 7 7 8 8 6 4 3 4 7 10 11 11 10 9 8 7 7 7 8 8 8 8 8 8 8 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 9 9 9 8 7 7 8 9 9 8 6 3 1 3 8 11 10 8 7 6 5 4 4 6 7 8 9 9 9 8 8 8 nan
nan 10 10 10 10 9 9 8 8 8 9 10 10 10 9 8 8 7 6 6 6 7 7 7 7 7 8 9 10 10 10 9 9 9 8 8 7 7 8 9 8 7 6 7 8 9 8 8 8 9 9 10 10 10 8 7 7 8 8 7 5 5 7 9 11 11 10 9 8 8 7 7 8 9 9 8 7 7 6 7 8 8 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 9 9 9 8 8 7 7 8 8 8 7 7 7 10 13 13 11 9 9 8 5 3 2 4 6 8 8 8 8 8 8 8 nan
nan 10 11 10 10 9 9 8 8 7 8 9 10 10 9 9 8 7 7 7 7 7 8 8 8 7 8 9 9 9 8 8 8 8 8 7 7 7 9 9 9 7 6 6 8 9 9 8 7 7 7 7 8 9 9 8 7 8 8 8 7 7 9 10 11 11 9 8 8 8 7 7 8 9 9 8 6 5 6 7 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 11 12 11 10 10 10 9 5 2 1 3 6 7 8 8 8 8 8 8 nan
nan 9 10 10 10 9 8 8 7 7 7 8 9 9 10 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 10 9 8 6 6 8 9 9 9 8 6 6 6 6 7 8 8 7 8 8 8 7 8 9 10 10 9 9 8 9 9 8 7 8 8 8 6 5 5 6 8 8 8 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 6 2 0 2 5 7 8 8 8 8 8 8 nan
nan 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 8 8 8 8 9 9 8 7 7 7 8 8 8 8 7 8 9 10 9 9 8 8 8 9 10 10 9 7 5 5 6 7 7 7 7 7 7 7 7 7 9 9 9 9 9 9 10 11 9 8 8 8 7 6 5 5 7 8 7 7 7 7 8 7 7 7 7 8 8 7 8 8 8 8 9 9 9 9 9 9 8 8 7 7 8 9 9 9 9 9 10 10 9 8 8 8 6 5 5 5 4 0 -1 2 5 7 8 8 8 8 8 8 nan
nan 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 9 9 9 8 8 9 9 10 10 9 7 7 7 8 9 9 9 9 9 9 9 9 9 7 6 6 7 7 7 7 7 8 7 7 6 7 7 8 8 8 8 9 11 11 10 9 9 8 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 9 9 10 10 9 9 9 8 8 8 7 7 8 9 10 10 9 10 10 10 10 8 6 4 1 -0 -1 -0 -2 -3 -2 1 4 7 8 8 8 8 8 8 nan
nan 8 8 9 9 10 9 9 8 9 9 10 9 9 8 9 9 10 10 9 8 7 7 7 7 7 8 8 9 9 9 9 10 11 10 9 6 5 6 7 8 8 9 9 9 9 8 8 9 9 8 8 7 7 7 7 8 9 8 8 7 6 6 7 7 7 7 8 9 10 9 10 10 10 9 8 7 8 8 8 8 8 9 9 10 10 10 10 9 7 7 7 7 8 9 9 10 10 9 9 8 8 8 8 8 8 8 9 10 10 10 10 10 10 9 7 5 2 -0 -2 -2 -3 -3 -3 -1 1 5 7 8 8 8 8 9 9 nan
nan 8 8 8 9 9 9 9 8 8 9 9 10 9 9 8 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 10 10 10 9 8 5 5 5 6 7 7 8 8 9 9 8 7 8 9 10 10 9 8 8 8 9 10 10 9 7 6 5 6 7 7 7 8 8 8 8 9 10 10 10 8 8 8 8 8 8 9 10 11 11 11 11 11 10 9 8 7 7 7 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 7 6 6 5 4 4 4 3 2 0 0 2 5 7 8 8 9 9 10 9 nan
nan 8 8 8 8 9 9 9 8 8 8 9 10 10 9 8 8 8 8 8 8 9 10 10 9 8 8 9 10 11 11 10 10 10 9 7 5 5 6 7 7 7 7 7 7 7 8 8 8 9 10 11 11 11 11 11 11 12 12 11 9 7 7 7 7 7 7 8 7 6 6 7 9 10 9 8 8 8 8 8 8 9 10 11 11 11 12 11 11 10 9 8 7 7 7 7 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 6 6 7 8 9 11 10 8 5 1 1 3 6 7 8 9 10 10 10 9 nan
nan 8 8 8 8 8 9 9 8 8 8 8 9 10 9 9 9 9 8 8 8 9 10 10 10 9 8 10 11 11 12 11 11 10 9 8 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 11 12 12 13 13 13 13 12 10 9 8 8 8 8 7 6 5 5 6 7 7 7 6 6 6 6 7 8 9 11 11 11 11 11 11 10 10 10 10 9 8 7 7 8 8 9 8 7 7 7 8 8 9 9 9 9 9 9 9 10 9 8 7 8 8 9 10 10 8 4 0 0 3 6 7 9 9 10 9 9 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
588 575 551 549 555 497 446 402 368 337 312 293 276 251 214 175 133 93 65 49 44 45 49 56 68 87 109 135 157 164 193 221 231 237 232 233 244 242 221 217 240 247 168 143 137 130 108 82 66 59 55 53 59 72 81 84 91 94 113 160 170 116 50 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 13 4 0 1 4 2 1 5 6 4 7 15 27 38 48 53 56 48 45 47 52 57 61 74 102 162 243 320 361 366 368 361 341 310 281 270 278 303 346 403 448 455 456 478 508 539 562 594 643
613 595 604 639 675 605 524 450 390 345 304 274 259 239 199 162 127 102 80 63 53 58 72 91 117 146 168 185 195 195 266 296 306 321 318 314 328 334 325 343 338 346 221 177 162 161 143 109 81 70 64 58 68 89 101 107 122 149 170 171 137 75 38 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 11 15 10 5 12 18 13 8 9 11 11 11 22 48 72 88 87 76 63 53 51 54 55 59 65 70 79 104 158 224 267 303 338 358 357 316 295 291 301 327 364 403 420 440 473 491 522 538 544 548
670 653 684 747 781 711 603 501 417 359 317 280 252 231 207 168 147 133 113 98 91 100 121 145 164 180 212 236 228 265 350 382 392 397 390 385 403 430 421 393 351 380 356 298 252 218 181 134 91 73 68 68 83 102 115 143 224 287 243 144 79 30 12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 29 29 26 26 37 45 39 27 23 36 52 23 30 72 116 140 142 131 113 92 79 75 74 79 78 78 82 95 110 134 174 236 296 333 368 343 316 307 314 327 348 376 407 438 471 479 491 484 462 423
830 809 833 890 874 774 658 556 467 402 355 314 282 256 238 206 185 171 156 153 162 176 191 203 208 210 255 294 292 344 412 454 469 459 434 422 434 457 491 454 411 414 425 408 355 292 238 178 109 84 86 89 91 96 110 178 303 327 208 90 34 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 53 48 50 57 76 96 92 65 51 74 109 65 61 105 158 196 206 191 168 150 134 121 114 112 103 103 109 118 130 139 160 212 259 283 300 306 304 304 313 326 340 362 389 431 493 434 392 342 284 239
1134 1070 1066 1066 1000 898 762 622 515 451 405 362 329 291 258 229 212 198 191 193 207 227 241 252 267 274 301 338 359 395 435 460 480 484 468 467 464 429 492 529 495 469 446 401 347 309 280 230 143 100 89 84 70 75 103 188 251 205 105 41 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 22 61 80 93 114 143 180 189 138 113 138 164 143 137 157 191 222 237 237 226 199 176 160 147 140 138 138 142 160 181 187 193 225 249 261 271 279 281 279 288 306 327 354 386 414 480 386 297 225 171 137
1543 1423 1313 1201 1100 997 831 647 524 465 428 391 360 319 276 252 248 232 228 237 253 267 278 289 304 323 351 371 391 411 430 438 461 497 521 556 529 480 500 531 505 475 448 384 318 298 285 250 190 136 86 59 61 86 135 198 207 132 58 15 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 15 62 101 119 149 189 231 279 311 276 254 260 262 252 234 224 231 242 249 266 283 248 220 190 169 164 173 184 193 206 229 242 249 263 271 271 270 273 278 278 281 298 317 339 322 404 431 357 251 169 123 101
1745 1585 1375 1242 1171 1062 853 649 524 466 437 409 376 342 309 310 304 277 264 266 275 288 299 313 330 363 376 390 412 435 458 473 487 505 512 528 528 490 481 485 461 447 432 393 348 328 307 269 229 163 130 122 118 125 164 195 157 77 22 3 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 42 98 134 159 196 249 308 371 421 422 399 386 372 354 328 315 317 315 302 281 315 305 269 222 192 193 216 242 263 283 294 298 302 309 311 307 304 306 311 315 316 333 331 348 356 418 465 397 248 155 110 88
1678 1576 1399 1315 1242 1112 905 699 558 486 456 421 392 365 353 356 336 312 296 293 299 310 317 327 336 363 371 399 433 464 485 500 511 504 487 478 473 461 496 460 468 489 480 454 425 413 410 364 286 218 206 196 169 159 177 180 121 43 5 0 0 0 0 0 0 2 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 15 65 125 166 199 247 309 382 459 524 560 557 559 553 524 485 456 442 423 407 360 334 322 299 259 227 234 269 293 314 331 341 342 341 348 353 353 355 361 370 384 377 392 384 385 389 418 482 476 334 212 127 101
1638 1572 1502 1422 1334 1191 987 783 630 530 486 443 417 391 395 377 340 310 295 296 309 320 312 335 326 355 381 416 454 485 508 533 547 511 504 483 473 525 558 555 576 610 616 602 588 584 595 533 439 366 326 291 247 206 185 176 104 32 6 1 0 0 0 0 0 2 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 22 82 151 200 251 321 398 476 551 618 678 725 771 778 742 692 636 588 538 502 451 396 350 331 307 279 286 316 341 358 370 380 380 374 374 377 383 392 404 418 434 433 438 437 436 437 459 505 515 407 262 166 133
1632 1598 1544 1479 1394 1252 1049 853 710 595 530 484 443 423 418 383 332 299 284 281 306 333 323 353 351 376 402 442 478 505 536 559 573 582 612 574 583 615 629 650 692 731 752 764 778 766 746 691 622 534 447 370 299 240 213 188 102 34 6 0 0 0 1 1 0 1 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 5 40 105 179 257 341 428 505 579 635 679 730 798 872 910 901 883 821 754 691 632 558 494 424 379 365 348 353 373 389 405 423 433 428 413 398 391 394 400 388 419 441 455 463 468 474 480 481 507 491 407 320 230 186
1343 1386 1407 1392 1349 1243 1078 904 759 655 582 529 479 442 405 354 304 280 274 276 315 339 339 365 393 415 447 495 526 557 621 667 663 693 718 719 699 685 710 769 818 828 842 854 867 846 799 733 654 581 497 398 323 278 272 202 101 32 5 0 0 0 3 8 5 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 14 58 129 224 333 439 533 605 657 692 720 757 821 906 968 983 1004 963 909 849 787 693 612 548 479 448 437 435 445 460 473 486 489 476 450 422 408 400 401 395 411 440 464 479 490 507 519 518 508 484 425 345 266 205
897 1019 1094 1136 1141 1084 980 865 756 680 606 541 483 429 382 345 315 299 299 305 334 346 362 409 460 501 530 560 593 638 698 728 731 735 738 726 699 697 736 810 877 886 884 879 873 852 808 748 677 604 516 421 355 312 287 201 98 33 6 0 0 0 4 15 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 26 78 161 283 411 513 608 670 696 716 744 774 822 900 973 1021 1059 1052 1026 976 918 855 785 703 632 579 555 544 540 543 551 555 543 513 476 439 421 410 406 408 418 443 474 496 511 534 553 556 529 504 444 369 298 229
481 561 640 717 777 796 774 732 693 649 570 503 445 395 359 330 310 308 326 350 374 412 461 481 512 545 576 609 651 704 760 807 802 750 728 714 695 701 748 809 852 866 861 862 864 852 827 789 741 673 579 482 400 347 297 199 101 40 11 2 0 0 1 8 12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 11 45 110 208 338 468 568 654 697 704 715 749 799 868 968 1035 1072 1097 1100 1098 1070 1027 982 927 863 811 745 707 681 658 641 633 623 601 559 520 482 450 428 421 428 442 468 502 527 541 564 574 579 564 544 505 435 350 292
221 256 292 359 443 517 562 574 576 570 501 420 371 344 326 315 315 331 366 403 428 465 497 520 555 606 658 696 723 753 772 795 748 721 711 723 727 732 757 786 800 797 797 816 841 848 840 814 768 703 616 506 406 335 276 191 106 47 16 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 23 72 149 254 387 506 594 659 698 711 729 772 833 912 998 1078 1129 1154 1151 1140 1124 1100 1070 1033 1005 975 905 852 811 776 757 748 731 723 674 626 581 531 488 468 473 493 520 547 573 589 607 606 590 583 581 561 515 435 395
83 109 141 189 256 332 402 442 462 475 433 376 345 336 339 349 367 394 429 451 470 527 563 603 642 692 743 773 769 730 669 672 654 659 678 704 719 718 719 731 746 736 743 745 763 791 804 783 733 669 571 462 366 293 234 160 92 43 13 1 0 3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 41 104 194 308 432 531 595 653 701 733 767 818 883 960 1043 1132 1187 1206 1198 1177 1160 1147 1135 1114 1094 1053 1001 960 925 901 898 897 870 849 811 762 698 626 567 534 527 538 558 579 610 628 642 645 635 628 622 599 585 553 507
28 47 70 104 151 211 273 321 358 387 383 380 391 401 411 430 462 501 498 493 533 583 633 684 733 763 764 730 651 568 500 499 507 551 620 673 675 660 668 677 689 666 674 660 659 683 692 658 599 529 430 350 279 222 162 106 62 28 5 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 18 65 136 228 337 455 543 605 667 724 759 794 845 927 1014 1090 1170 1214 1229 1226 1208 1185 1176 1162 1136 1116 1086 1065 1057 1046 1034 1029 1000 965 938 904 854 777 693 629 591 578 583 595 605 628 649 668 681 683 681 676 654 647 613 566
6 12 18 31 60 106 163 217 280 329 358 382 411 437 460 486 509 506 525 573 625 676 724 784 801 742 646 532 447 414 410 432 453 500 561 579 580 625 628 611 599 568 563 555 556 559 541 498 444 383 305 240 181 125 76 47 30 12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 31 85 157 247 364 478 564 633 694 742 774 798 865 951 1029 1097 1152 1194 1220 1230 1226 1207 1199 1173 1151 1145 1137 1143 1158 1148 1127 1106 1067 1035 996 956 901 825 748 691 652 637 635 635 632 637 650 669 685 700 718 724 723 720 707 677
0 1 1 1 9 36 82 142 219 287 335 386 420 441 469 508 549 568 608 672 742 812 887 919 809 599 459 380 361 372 393 425 473 522 551 551 548 586 569 533 498 467 445 433 434 430 397 354 325 290 228 160 105 54 19 8 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 41 91 171 263 370 479 568 633 684 729 766 773 831 906 978 1047 1108 1154 1188 1214 1229 1227 1225 1221 1202 1195 1205 1214 1221 1201 1166 1139 1102 1074 1032 983 929 869 813 773 740 719 702 684 664 648 641 648 662 686 718 745 761 773 779 777
0 0 0 0 2 9 28 69 148 243 303 370 418 436 461 516 591 673 734 776 837 903 960 894 670 453 368 347 353 373 396 437 485 525 562 587 571 534 475 417 364 325 306 297 288 275 256 238 213 172 115 74 41 16 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 45 102 182 274 377 477 558 619 662 688 718 720 745 793 862 946 1020 1068 1127 1171 1197 1220 1244 1260 1258 1256 1268 1269 1253 1218 1173 1147 1124 1095 1048 990 939 902 877 857 837 814 788 756 719 683 657 644 642 665 699 731 758 785 806 818
0 0 0 0 0 1 6 24 71 169 246 302 329 340 381 450 516 573 662 766 844 856 785 628 455 375 341 328 363 387 425 470 514 557 585 557 487 407 325 252 196 163 155 158 155 142 125 110 95 75 36 15 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 1 12 46 109 186 275 378 479 541 581 608 611 623 634 652 677 718 788 876 943 1025 1080 1124 1184 1231 1255 1273 1291 1302 1292 1259 1214 1171 1145 1126 1093 1040 987 953 944 944 939 928 908 883 849 804 757 718 683 661 661 679 701 726 758 788 821
1 1 0 0 0 0 0 8 32 104 178 235 268 286 315 385 458 548 642 754 798 720 563 432 381 355 336 315 377 404 441 474 497 515 503 441 355 259 169 103 64 50 50 53 56 51 38 25 24 18 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 11 42 96 169 256 352 436 474 485 505 506 510 528 554 584 617 643 694 770 867 938 1003 1076 1140 1191 1241 1279 1288 1268 1234 1197 1166 1139 1107 1067 1027 1001 991 995 1008 1021 1018 1003 983 950 909 866 817 768 732 705 697 703 715 733 744 783
7 6 3 1 2 3 3 12 29 76 150 225 286 330 353 403 482 577 669 750 726 603 476 408 393 369 366 343 396 423 437 443 445 441 403 305 214 110 49 22 10 6 7 8 9 9 6 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 7 30 76 142 213 283 329 356 372 387 390 402 420 434 445 462 498 540 597 683 766 842 918 995 1066 1126 1187 1188 1183 1169 1155 1144 1127 1096 1075 1059 1029 1023 1043 1065 1083 1094 1090 1069 1047 1022 982 943 891 839 804 780 764 759 760 757 776
15 20 21 25 18 12 12 20 37 81 154 238 323 407 411 463 533 588 659 692 649 558 472 416 420 391 381 379 406 410 386 358 344 330 256 150 80 28 6 1 0 0 0 0 0 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 2 15 46 90 134 174 204 227 251 259 262 276 297 314 330 349 371 403 441 507 589 667 739 813 888 950 1008 1035 1055 1064 1074 1087 1085 1074 1082 1058 1038 1044 1074 1102 1115 1121 1115 1119 1147 1150 1133 1106 1064 1017 972 932 901 885 872 852 845
14 22 25 32 22 16 16 21 40 85 157 245 344 439 452 474 487 488 501 543 567 540 484 429 396 339 305 294 299 300 278 243 218 142 78 39 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 4 16 34 52 69 86 103 125 125 126 147 178 207 227 238 250 275 304 356 430 512 585 649 700 753 804 850 883 904 925 948 960 982 1002 1011 1029 1052 1083 1115 1135 1150 1173 1209 1251 1276 1286 1280 1255 1220 1173 1125 1092 1073 1045 1014 983
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