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 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 6 7 7 7 4 4 4 4 3 2 3 4 5 4 4 4 5 5 6 6 6 5 4 4 4 5 6 6 6 6 7 8 8 8 8 8 8 8 8 8 9 9 8 8 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 nan
nan 4 4 3 3 3 3 3 3 3 4 4 5 5 4 4 4 4 4 4 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 7 8 7 6 5 6 5 5 5 6 6 6 6 6 5 5 6 7 7 7 7 6 5 5 5 6 7 7 6 6 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 7 6 6 6 6 6 6 5 5 5 5 5 6 5 6 6 6 6 6 5 5 5 5 5 5 5 6 6 7 nan
nan 4 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 8 8 9 8 8 7 7 7 6 6 7 7 7 7 7 6 5 6 7 8 8 7 7 5 4 5 6 7 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 nan
nan 3 3 3 3 3 3 3 3 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 7 7 7 7 7 8 9 9 9 9 9 8 7 8 7 7 7 7 7 7 7 7 5 5 7 8 9 8 8 6 4 3 5 7 8 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 6 6 nan
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nan 8 8 7 7 7 7 7 6 6 7 7 7 7 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 8 9 8 8 7 7 8 8 9 8 8 7 7 6 6 7 8 9 8 8 7 7 7 8 8 8 8 8 8 8 8 7 5 3 2 1 2 4 6 7 7 6 6 6 6 6 6 6 7 7 7 7 6 6 7 8 8 8 7 6 4 1 -1 1 3 4 5 6 7 7 7 6 6 5 5 5 5 6 6 6 6 6 6 6 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 nan
nan 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 7 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 9 9 8 7 7 6 6 7 9 8 8 8 7 7 8 8 8 8 8 8 8 8 8 7 5 3 2 2 2 3 5 6 7 6 6 6 7 6 6 6 6 5 6 6 5 5 6 7 8 8 8 7 6 4 3 3 3 3 5 7 8 8 7 6 5 5 4 5 5 5 6 6 6 6 6 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 nan
nan 8 8 9 9 9 8 7 6 6 6 7 8 8 8 7 7 7 7 8 8 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 6 6 7 8 9 8 8 7 7 7 8 8 8 8 7 7 8 9 9 8 6 4 2 2 2 3 5 6 6 6 6 7 7 7 6 5 4 4 5 5 5 5 5 6 8 9 9 7 6 6 6 5 3 4 6 10 11 10 8 6 4 4 4 5 5 5 6 6 6 6 6 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 nan
nan 8 9 9 9 8 7 6 6 6 6 7 8 8 7 7 7 7 7 8 9 9 9 9 8 8 8 8 7 7 6 6 7 7 8 8 8 8 8 9 8 8 7 7 7 8 9 9 8 8 8 7 8 8 8 8 8 7 7 8 9 10 8 6 4 2 2 2 3 6 6 6 6 6 7 8 7 7 6 4 4 4 5 5 5 5 6 8 9 8 5 4 7 7 6 5 6 9 12 13 11 8 4 2 3 4 5 5 5 5 6 6 6 6 7 7 6 6 6 6 6 7 7 7 8 8 8 7 7 7 8 8 8 8 nan
nan 8 8 7 7 7 7 7 7 7 7 7 8 7 7 7 8 8 8 8 8 9 10 10 10 10 10 9 9 8 7 6 6 7 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 10 10 8 6 4 2 1 2 4 6 7 6 5 6 6 7 7 7 6 5 4 5 5 5 5 5 6 8 9 6 3 4 6 7 7 7 9 10 12 11 10 6 2 0 3 4 5 5 5 6 6 6 6 7 7 7 6 6 6 6 6 7 7 8 8 8 7 7 7 7 7 8 8 8 nan
nan 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 10 10 9 9 9 9 8 7 6 6 7 8 8 8 8 8 9 10 10 9 9 10 9 9 9 8 8 9 9 8 8 7 7 7 8 9 11 11 9 6 4 2 1 2 5 7 8 7 6 5 6 6 7 7 6 5 4 5 5 5 5 6 7 8 8 5 4 5 6 7 8 9 11 11 10 9 7 4 1 2 4 5 5 5 5 6 6 6 7 7 7 7 6 6 6 6 7 7 7 8 8 7 7 7 7 7 7 8 8 8 nan
nan 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 8 9 9 9 8 8 7 7 7 8 8 7 6 5 6 7 7 8 8 9 10 11 10 10 10 9 9 9 9 10 10 10 9 8 7 7 7 9 11 12 11 9 6 3 1 1 2 5 7 8 8 7 6 6 6 7 6 6 5 4 4 4 5 5 6 8 8 6 5 5 6 7 7 8 10 11 10 9 8 6 5 4 5 6 6 5 5 6 6 6 7 7 7 7 7 7 6 6 7 7 7 7 8 8 7 7 7 7 7 7 8 8 8 nan
nan 7 8 8 8 7 7 7 8 8 9 9 9 9 9 8 8 9 9 8 7 7 7 7 7 6 6 6 5 5 6 7 7 7 6 6 6 7 8 8 9 10 11 11 11 10 10 9 9 10 10 11 10 9 7 6 6 7 10 12 13 12 9 6 3 1 1 3 5 7 8 8 7 6 6 6 7 7 6 5 4 4 4 5 6 8 9 7 5 4 5 7 7 8 8 9 10 10 9 7 6 6 7 8 7 6 5 6 6 7 7 7 7 7 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 nan
nan 7 7 7 6 6 6 7 8 9 9 9 9 8 8 7 8 8 9 9 9 8 7 7 6 6 6 6 5 5 5 6 7 8 8 7 6 7 8 8 9 10 11 12 11 11 10 9 10 10 11 11 10 9 8 7 7 8 10 12 13 12 9 5 2 1 2 4 6 7 8 7 6 6 6 6 7 7 7 6 5 4 4 5 6 8 8 6 4 4 6 7 8 8 8 9 10 10 9 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 nan
nan 7 6 5 5 5 6 7 8 9 9 8 7 7 7 7 7 8 8 8 9 8 8 8 8 7 7 7 6 5 4 5 6 8 9 8 7 7 8 9 9 10 12 12 11 10 10 9 10 11 11 11 10 9 9 8 8 9 10 12 13 11 7 3 1 1 3 5 6 7 8 7 6 6 6 7 7 7 6 6 5 5 5 6 6 6 6 5 5 6 7 7 8 8 8 10 11 10 8 6 6 7 7 7 7 7 8 8 8 9 9 10 11 11 11 10 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 nan
nan 7 7 6 5 6 6 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 7 6 5 4 4 6 7 7 7 8 9 9 10 11 12 11 10 10 9 9 10 10 11 10 10 9 9 9 8 9 10 11 11 9 5 1 -0 2 5 7 7 7 8 7 6 6 6 7 7 6 5 5 5 6 6 6 6 5 5 5 6 7 8 8 8 8 10 11 10 8 6 5 5 6 6 7 6 6 7 8 8 9 11 13 15 15 14 12 9 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 nan
nan 9 8 7 7 7 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 8 8 9 10 10 10 9 8 7 6 5 4 4 5 6 7 7 8 9 10 11 12 11 10 9 9 9 9 10 10 10 10 9 9 9 9 10 11 11 9 7 2 -1 -0 3 6 8 8 7 7 7 6 6 7 7 7 5 4 4 6 7 7 7 6 5 5 6 7 8 8 8 8 9 10 10 8 5 4 4 5 6 6 6 5 6 7 8 9 10 12 13 15 15 13 10 6 4 5 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 nan
nan 9 9 8 8 8 8 7 7 7 8 7 7 7 8 8 8 8 7 7 7 7 7 8 9 10 10 10 10 9 7 6 5 4 5 5 6 7 8 8 9 11 12 12 11 10 9 9 9 10 10 9 9 8 8 9 10 11 11 10 8 4 -0 -1 1 4 7 8 8 8 7 6 6 6 7 8 7 5 4 4 6 7 8 7 6 6 6 7 8 8 8 8 8 9 9 8 5 3 4 5 6 6 6 6 6 8 9 9 9 9 10 11 11 11 8 3 -1 0 4 6 7 8 8 8 8 8 8 8 8 8 8 8 8 7 nan
nan 9 8 8 8 8 7 7 7 8 8 8 7 7 6 6 6 7 7 7 7 7 7 7 8 9 10 11 11 10 9 8 6 5 5 5 6 7 8 8 8 9 11 11 11 11 11 10 9 9 9 9 8 8 9 10 10 11 10 9 6 2 -1 -1 1 4 7 8 8 7 7 6 6 7 8 8 6 5 4 5 6 7 7 7 7 7 8 8 8 8 7 8 8 9 8 7 5 5 6 7 7 7 6 7 8 10 10 9 8 8 8 8 8 6 2 -3 -4 0 5 7 8 8 8 8 8 8 8 8 9 9 8 8 8 7 nan
nan 8 8 9 9 8 7 7 7 8 8 8 7 6 5 4 4 5 6 7 7 7 7 7 8 8 9 10 11 11 10 9 7 6 5 5 5 6 7 7 7 7 9 10 11 12 12 11 10 10 9 8 8 8 9 10 10 10 9 7 3 -0 -1 0 3 6 8 9 8 7 6 5 6 7 7 7 6 5 5 5 5 6 7 8 8 8 8 8 8 7 7 8 8 8 7 6 6 7 8 8 8 8 7 8 9 10 10 8 8 8 8 8 7 4 -0 -3 -1 4 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 nan
nan 8 8 8 8 8 8 9 9 9 8 8 7 7 6 5 4 5 6 7 7 7 7 7 7 8 8 9 10 10 11 10 9 7 6 5 5 6 7 7 7 6 7 8 10 12 13 12 11 10 9 9 8 9 9 9 9 9 7 5 1 -1 -0 2 5 8 10 10 9 7 6 5 6 7 7 7 7 7 6 5 5 6 8 9 9 8 8 8 7 7 7 7 6 6 6 6 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 6 3 0 0 5 11 13 12 11 10 9 9 9 9 9 9 8 8 8 7 7 7 nan
nan 8 7 7 8 9 9 10 10 9 8 8 8 7 7 6 6 5 5 6 6 6 7 7 7 7 8 8 9 10 10 11 10 9 7 6 6 6 7 8 8 7 6 7 9 11 12 13 12 11 10 10 9 9 9 8 8 7 6 4 2 1 3 6 9 11 12 11 10 8 6 6 7 7 8 8 7 6 5 4 5 7 9 9 9 8 8 7 7 7 7 6 5 5 6 7 8 8 8 8 8 8 8 8 8 8 8 7 8 9 8 7 6 5 5 9 14 17 16 13 12 11 10 10 9 9 8 8 8 7 7 7 7 7 nan
nan 8 8 8 9 10 10 10 9 9 8 8 8 7 7 7 7 6 5 5 6 6 6 6 6 7 7 8 8 9 10 11 11 10 8 7 6 6 8 8 8 8 7 7 8 9 11 12 12 12 11 10 10 10 9 8 8 7 6 4 4 4 7 10 12 13 13 11 10 9 8 8 9 9 9 8 6 5 4 4 6 8 9 9 8 8 7 6 7 7 7 6 6 6 7 8 8 8 8 9 8 8 8 8 8 8 8 8 9 9 8 7 7 8 10 15 18 18 15 13 13 12 11 9 8 8 7 7 7 7 7 7 7 8 nan
nan 8 9 9 9 10 9 9 8 8 7 7 8 8 8 8 7 6 6 6 6 7 7 7 7 7 6 7 7 8 8 9 10 10 9 7 6 6 7 8 8 8 7 7 6 7 9 10 12 12 11 10 10 10 10 9 8 7 6 5 5 7 9 11 12 12 11 10 9 9 10 10 10 9 9 7 5 4 4 6 7 8 7 7 7 7 6 6 7 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 12 14 14 13 12 12 12 11 9 7 6 6 6 6 7 7 7 8 8 8 nan
nan 8 9 9 9 8 8 8 7 7 7 7 7 8 8 8 7 7 7 7 7 8 9 8 8 7 7 6 6 6 6 7 9 10 10 8 7 6 7 7 8 7 7 6 5 5 7 8 10 12 11 11 10 10 10 9 8 7 6 5 6 8 11 11 11 10 9 9 10 10 10 10 9 9 8 6 5 4 5 7 7 6 5 5 6 6 5 6 8 10 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 9 10 10 10 9 8 9 10 9 7 5 3 4 5 5 6 7 7 8 8 8 8 nan
nan 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 8 8 8 8 8 8 7 6 6 6 6 7 9 9 9 8 7 7 7 7 8 7 6 5 4 5 6 8 9 10 10 10 9 9 8 7 7 6 6 7 9 11 11 10 9 9 10 11 12 11 10 9 8 7 6 5 5 6 6 5 4 4 5 6 6 5 7 8 8 8 8 7 7 8 9 10 10 9 9 9 9 9 8 9 9 9 9 10 11 12 11 10 9 8 8 7 6 5 5 4 2 -1 -1 3 5 6 7 8 8 8 8 8 8 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 6 7 8 8 8 8 8 7 7 6 7 7 8 9 9 8 7 7 8 8 8 7 6 5 4 5 6 7 8 8 8 8 7 6 6 6 5 6 7 9 10 10 10 9 9 10 11 11 10 10 9 8 7 6 6 6 7 6 5 4 5 7 7 7 7 7 7 7 7 7 7 7 8 10 10 9 9 9 10 9 9 9 9 9 9 9 11 13 13 11 9 8 8 8 6 2 0 -1 -2 -3 -5 -2 3 6 7 8 8 8 8 8 8 8 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 9 8 9 10 10 10 9 8 6 6 6 7 8 8 8 9 9 8 8 7 7 7 8 9 8 8 8 8 8 8 8 7 6 5 5 6 7 8 8 8 7 6 5 4 4 4 5 5 7 8 9 9 9 8 9 10 9 9 9 9 9 8 7 7 7 7 6 6 6 8 9 9 9 8 8 7 7 8 8 8 8 9 10 9 8 8 9 10 10 9 9 9 9 9 10 13 13 12 10 8 7 8 7 4 1 -1 -1 -0 -2 -1 3 6 7 8 8 8 8 8 8 8 8 nan
nan 8 8 8 8 8 8 8 8 8 9 9 10 9 8 8 9 9 9 8 8 7 7 7 7 8 9 9 10 10 9 8 8 7 7 8 9 8 8 7 8 8 8 8 8 7 6 6 7 8 9 9 8 8 7 6 5 5 4 4 4 4 6 7 8 8 8 8 8 8 8 8 9 9 8 7 7 7 7 7 7 7 9 10 10 10 8 7 8 9 9 8 7 8 9 8 8 8 8 9 10 11 10 10 9 9 10 12 12 11 9 7 6 6 6 5 4 3 5 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 8 8 9 9 9 9 9 10 10 10 10 9 9 8 8 7 7 7 8 9 8 8 7 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 8 8 7 6 5 4 5 6 6 7 7 8 7 6 6 7 8 8 7 6 6 6 6 7 7 8 9 10 10 9 8 8 9 10 9 8 7 8 8 8 8 9 9 10 10 11 10 9 8 9 11 11 10 8 6 6 6 6 5 5 6 8 11 12 11 8 7 7 7 7 8 8 8 8 8 8 8 8 nan
nan 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 10 10 10 10 10 9 9 9 9 8 7 6 7 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 8 7 6 6 6 7 7 7 6 6 6 6 6 6 6 5 5 6 6 7 8 9 9 8 8 8 9 10 10 9 8 8 10 10 9 9 9 9 9 9 9 9 8 8 9 10 9 7 7 7 8 8 8 8 8 9 10 11 11 8 5 4 5 6 7 7 7 7 7 7 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
100 96 80 69 61 61 61 61 53 45 40 36 31 28 28 28 29 27 28 26 26 26 30 36 40 41 38 34 30 28 28 28 29 30 32 32 30 27 27 25 23 23 24 24 27 31 32 37 55 81 106 149 211 208 184 135 129 192 236 244 224 188 140 83 61 39 37 28 22 14 7 3 2 2 3 2 2 3 3 3 3 3 3 4 18 59 134 241 292 291 301 232 166 125 105 92 77 65 52 38 18 19 16 14 14 13 12 13 13 12 11 15 21 39 78 157 248 319 361 363 311 224 178 164 136 114 101 99 98 92 81 75 78 82 114
93 86 72 60 53 47 49 48 43 37 34 32 32 33 34 36 35 33 33 34 37 39 41 44 46 48 49 47 43 43 42 39 37 36 35 34 34 34 32 29 30 30 28 29 31 34 35 35 38 45 52 63 90 75 72 55 48 70 98 113 107 90 78 65 54 43 37 34 28 25 19 10 5 3 5 6 7 6 5 4 3 2 3 8 23 59 138 253 344 360 384 322 237 177 144 125 112 105 82 60 40 31 25 16 10 9 10 11 12 12 12 12 13 16 22 47 90 145 204 257 285 210 191 171 145 125 112 101 96 101 100 90 73 61 78
90 80 73 63 54 42 40 37 35 32 29 30 33 36 39 40 40 41 41 42 44 44 45 46 49 53 59 64 71 77 75 60 47 40 37 35 35 36 38 40 37 36 36 37 41 45 43 37 38 41 34 39 57 54 52 45 36 35 40 45 47 42 47 51 47 41 39 40 39 37 33 26 17 12 16 19 15 13 12 10 7 5 5 11 33 83 164 307 442 439 447 427 366 281 216 203 184 155 114 88 71 54 42 28 16 10 8 7 7 11 11 12 11 11 11 13 22 39 65 102 129 131 133 131 126 121 112 102 102 119 118 125 111 102 89
92 82 80 71 52 35 28 28 30 29 27 29 34 39 42 43 44 46 47 48 47 45 45 47 49 55 72 89 102 110 104 83 65 51 40 37 36 34 35 35 35 38 46 58 75 90 94 92 96 91 70 68 64 64 65 58 43 32 29 27 32 33 34 37 37 39 41 46 47 44 46 46 34 28 37 35 25 20 20 21 19 14 11 23 61 152 205 360 480 495 512 536 490 382 307 284 259 204 154 120 105 90 67 42 24 13 7 4 3 7 8 9 10 8 5 6 8 9 13 20 33 55 72 84 94 99 98 93 99 97 85 124 122 104 102
104 87 78 62 47 33 29 29 27 25 26 32 40 45 48 49 50 50 51 50 49 48 46 45 46 54 81 102 115 118 113 106 96 71 41 37 36 34 35 35 34 43 64 97 135 167 181 184 178 163 140 113 98 106 102 80 52 36 36 36 35 28 26 31 35 46 46 44 43 44 53 48 33 33 40 33 26 23 23 24 23 18 18 39 82 162 254 403 514 545 579 631 596 518 445 384 330 271 223 181 171 165 124 71 39 20 10 5 3 4 5 7 8 6 3 9 13 14 12 9 17 34 50 63 72 79 83 91 137 136 105 103 101 94 112
114 72 62 46 37 35 34 30 26 27 31 40 49 53 53 53 53 52 50 48 46 42 38 38 39 45 67 100 130 142 126 109 104 89 59 46 51 56 56 52 47 58 87 125 174 229 269 286 266 229 214 200 185 173 156 128 97 83 87 77 59 52 47 53 52 49 47 42 38 37 37 27 25 50 38 22 18 19 20 20 19 18 20 64 122 198 312 481 602 622 640 674 648 606 552 484 427 367 326 296 289 290 246 171 97 64 44 29 18 12 9 6 5 13 9 21 32 35 39 42 41 43 47 53 60 65 79 105 135 146 131 105 89 101 132
120 64 49 36 32 33 33 31 30 33 36 42 46 51 51 52 50 47 44 41 36 33 34 42 54 65 86 124 166 188 160 122 114 117 110 104 115 116 106 95 94 111 141 172 211 277 357 408 342 286 280 296 294 278 257 230 202 193 188 143 133 167 136 96 71 61 54 43 35 34 31 22 19 26 23 20 21 23 23 21 20 21 27 72 141 236 359 517 620 628 669 704 717 700 675 635 570 505 464 443 434 446 432 373 266 198 149 110 80 60 46 39 29 34 34 44 59 70 76 77 76 71 62 56 66 73 92 123 132 128 126 121 106 96 102
86 56 44 35 33 31 31 32 32 33 37 37 39 42 43 43 41 37 35 35 34 40 60 86 119 143 160 180 204 210 186 160 162 181 207 206 206 212 212 211 216 225 237 260 296 333 397 419 329 296 298 317 344 365 362 326 282 266 247 179 160 161 141 118 103 93 81 48 33 49 49 35 22 15 15 22 29 32 32 27 22 21 36 109 233 359 438 505 583 626 681 781 829 876 872 828 768 710 663 621 572 591 627 599 506 406 330 274 232 197 163 139 109 93 91 95 100 111 122 124 119 118 115 101 106 114 126 146 158 156 152 155 136 108 95
63 50 39 34 32 30 31 32 33 37 47 37 37 39 41 40 39 42 46 49 54 74 122 153 187 205 220 235 251 258 255 258 276 284 329 310 334 377 398 401 389 352 314 309 335 346 371 330 273 261 265 274 300 330 333 290 236 202 190 152 125 114 123 134 120 105 110 67 48 53 52 44 30 15 11 23 34 37 37 30 22 21 50 148 292 407 458 484 547 638 696 849 927 1001 1026 1003 973 941 887 815 725 729 760 767 724 647 564 494 448 406 358 307 262 222 205 201 196 193 204 221 222 220 224 208 200 200 191 189 202 205 202 203 180 153 124
49 38 32 30 29 29 30 32 36 44 58 44 42 46 52 57 61 66 74 87 107 131 167 195 225 238 250 269 288 303 315 344 398 336 360 404 448 468 477 483 441 354 285 257 258 270 288 265 251 241 224 207 192 185 195 191 176 158 160 160 157 143 138 145 144 131 86 88 86 78 68 52 44 39 31 32 38 34 29 23 21 27 86 176 289 423 496 496 567 679 734 854 947 1038 1123 1183 1203 1181 1112 1043 947 886 868 885 899 855 757 675 635 607 572 513 482 442 406 384 369 353 351 379 399 392 391 377 355 335 309 279 264 254 255 261 250 226 194
41 34 31 31 30 29 29 31 38 49 54 43 45 54 61 69 70 74 86 102 127 147 172 199 224 234 243 253 263 267 267 272 303 288 307 349 369 359 344 305 243 199 180 161 152 163 177 178 173 170 173 176 175 177 172 191 227 281 285 268 259 244 207 174 176 160 112 112 108 100 71 43 38 42 41 46 40 27 19 17 23 38 85 177 330 514 601 593 661 732 800 890 982 1090 1229 1372 1464 1484 1482 1422 1310 1189 1094 1021 981 942 864 818 754 717 697 680 675 662 644 629 622 610 568 567 576 594 596 575 538 503 483 447 405 376 356 350 342 322 291
36 29 31 33 33 31 32 38 44 48 44 39 41 48 50 56 60 67 83 96 114 127 148 171 183 185 186 193 203 210 218 233 254 255 252 245 222 198 176 151 125 110 100 95 90 92 103 114 130 145 157 167 173 190 199 237 268 311 306 290 283 259 211 188 182 165 152 132 98 74 50 32 30 33 32 32 28 24 21 21 29 55 117 233 410 624 700 741 766 811 893 1007 1102 1165 1286 1537 1708 1840 1958 1928 1817 1676 1510 1322 1194 1125 1071 996 870 812 787 784 795 812 844 880 892 869 824 818 835 834 807 781 762 735 696 656 628 596 557 534 517 492 453
33 27 31 33 32 28 28 33 34 34 32 32 31 33 38 46 52 59 74 85 93 97 108 126 137 141 146 154 163 174 188 212 227 212 185 148 106 79 68 66 66 64 60 63 66 68 71 83 100 115 127 131 139 135 150 207 220 219 220 225 225 206 155 115 134 146 135 108 74 50 38 31 27 27 25 29 25 25 25 27 37 78 183 346 469 620 688 741 803 869 963 1103 1221 1261 1398 1615 1696 1827 2038 2183 2221 2191 2114 1942 1736 1550 1419 1285 1202 1175 1108 978 878 914 997 1083 1113 1121 1108 1059 999 981 993 977 937 898 894 873 854 844 822 802 787 762 705
38 41 45 44 37 28 22 21 23 25 26 27 26 27 35 45 51 53 57 62 66 74 86 98 107 114 119 124 136 147 154 159 162 145 129 98 65 45 35 32 36 36 33 36 35 31 30 40 46 44 51 69 80 103 136 152 158 155 153 156 158 138 73 69 97 90 75 60 46 38 35 32 27 23 26 26 24 25 28 36 51 109 295 457 530 589 642 712 804 890 981 1099 1208 1266 1356 1341 1331 1424 1646 1924 2152 2311 2443 2506 2371 2118 1949 1842 1774 1620 1344 1098 1082 1185 1241 1251 1250 1251 1238 1218 1221 1223 1196 1127 1112 1134 1115 1075 1047 1038 1042 1050 1047 1023 974
61 83 100 92 72 55 35 33 35 32 32 31 29 29 32 38 39 38 38 42 49 50 64 80 91 97 101 107 116 122 124 111 120 108 92 67 42 27 20 16 15 12 15 14 11 10 13 20 23 23 23 25 35 49 83 106 114 112 108 105 103 91 45 78 71 55 45 38 32 30 29 28 25 20 20 20 22 25 30 53 106 180 404 521 518 554 612 686 774 856 922 968 986 1016 1069 1062 1033 1107 1295 1545 1769 1929 2067 2301 2337 2193 2121 2155 2190 2123 2018 1929 1731 1690 1599 1451 1426 1464 1483 1432 1320 1268 1269 1310 1331 1306 1269 1247 1226 1211 1218 1237 1251 1265 1228
99 136 135 118 109 86 58 56 54 48 41 32 26 25 28 31 32 32 31 31 41 45 61 77 86 88 90 95 99 96 91 80 76 66 49 27 12 9 10 12 12 11 12 10 8 9 11 15 17 20 17 18 22 31 47 69 83 81 68 56 59 49 35 36 37 36 35 34 30 28 27 28 27 24 19 19 21 29 49 95 183 286 460 546 527 546 601 671 736 776 797 788 705 636 652 733 825 908 1007 1153 1335 1348 1294 1427 1515 1516 1568 1795 2031 2042 1989 2031 1951 1904 1831 1782 1806 1800 1669 1484 1489 1544 1599 1574 1516 1503 1510 1471 1412 1406 1384 1392 1422 1446 1449
120 131 70 46 75 74 92 89 67 70 58 32 19 20 25 28 28 28 28 32 41 55 73 83 85 82 81 80 75 66 53 37 23 17 12 6 2 3 7 13 14 12 11 11 10 10 10 9 10 16 16 17 19 23 33 48 58 54 41 33 34 30 27 27 29 30 31 31 30 30 29 32 35 31 26 21 24 40 78 139 218 338 457 516 533 547 579 629 666 649 608 555 451 406 409 432 473 533 580 609 700 700 690 733 828 913 1000 1138 1282 1311 1237 1137 1274 1541 1760 1867 1931 1994 2006 1976 1794 1688 1740 1691 1592 1525 1465 1447 1580 1610 1599 1597 1576 1602 1633
58 63 41 14 15 35 93 101 82 102 97 50 24 24 24 24 22 25 31 40 58 82 96 94 82 70 67 60 46 32 20 9 3 1 1 1 2 4 11 17 16 13 11 11 10 11 12 10 8 8 9 13 16 21 25 31 37 36 28 23 22 21 22 24 27 29 30 32 34 34 33 32 34 33 33 33 37 50 80 123 176 320 444 465 451 475 513 531 525 453 381 319 268 262 273 263 244 250 265 268 299 331 363 408 493 553 582 634 713 775 800 827 832 1015 1215 1345 1470 1549 1467 1316 1424 1597 1672 1613 1540 1520 1586 1749 1819 1776 1819 1732 1609 1539 1549
10 17 29 30 19 18 59 95 106 128 149 130 83 42 24 21 18 21 33 57 87 102 99 86 67 47 38 29 16 7 3 1 0 0 0 0 2 6 11 15 14 12 11 9 7 7 8 7 5 5 7 10 14 19 21 23 25 23 18 13 12 11 15 21 27 31 33 36 39 41 40 38 36 35 36 37 42 54 78 108 167 282 369 396 404 398 373 338 302 232 184 151 135 137 153 163 141 137 143 143 140 174 217 244 269 305 358 424 486 519 603 706 766 831 876 843 828 861 895 1072 1192 1210 1226 1275 1329 1357 1491 1832 1774 1613 1648 1619 1508 1452 1549
9 21 32 32 19 17 39 88 125 167 186 155 94 47 35 34 29 33 50 87 118 111 86 66 44 24 14 7 2 0 0 0 0 0 0 1 3 8 8 7 7 6 4 3 3 3 2 2 1 2 4 9 13 15 16 16 15 14 12 7 8 9 12 19 26 30 33 35 39 43 43 41 40 40 41 44 50 57 79 110 173 221 226 201 178 174 175 137 109 86 72 67 66 65 68 84 77 81 89 94 100 133 166 187 218 251 275 308 353 375 423 469 558 670 701 633 643 709 714 673 666 748 857 967 1046 1016 1053 1198 1178 1139 1215 1282 1278 1314 1406
10 12 10 7 10 16 30 80 140 197 207 159 88 57 87 114 87 60 69 92 104 87 61 44 27 13 6 2 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 2 4 6 7 8 8 9 9 8 7 8 12 18 24 26 27 29 33 36 38 38 39 42 44 45 50 51 58 77 99 96 75 56 48 40 48 47 43 39 35 38 43 45 46 49 50 54 64 77 87 108 134 147 160 192 232 274 322 352 380 413 448 500 629 696 790 816 776 715 653 622 652 697 719 703 662 632 649 718 808 900 1000 1095 1223
7 8 7 9 9 16 26 77 136 182 195 157 107 112 160 173 110 71 56 53 50 39 26 18 12 7 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 2 3 5 5 5 5 6 9 15 21 21 20 22 24 26 28 30 34 42 49 48 48 47 38 37 38 32 22 19 20 26 30 31 30 30 29 31 34 34 34 36 38 41 48 58 74 102 132 153 168 182 220 254 294 330 370 414 420 460 605 727 845 894 874 793 684 616 575 554 550 552 501 448 453 510 578 624 681 761 847
8 8 8 9 9 18 26 62 106 127 125 100 68 57 49 46 44 33 22 17 13 11 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 0 0 1 1 1 2 3 6 9 9 12 14 16 17 19 20 21 29 39 44 40 36 29 20 15 15 13 9 13 19 26 29 29 27 27 27 28 30 30 32 33 33 36 40 49 64 83 107 149 191 212 229 253 286 310 322 379 395 426 508 642 796 888 884 841 789 711 611 569 561 530 474 435 429 450 508 526 549 593 624
12 9 6 6 9 18 33 60 60 49 40 31 21 14 11 11 11 10 8 6 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 1 2 3 4 6 8 10 13 15 16 20 30 37 32 24 17 10 7 6 7 8 9 13 19 24 29 29 26 24 23 23 26 31 42 43 42 45 51 60 70 77 99 136 182 221 253 284 316 343 320 299 274 286 339 446 602 732 771 743 688 656 573 512 472 435 407 393 388 398 462 504 546 598 640
12 7 3 4 9 17 31 41 23 7 5 5 3 2 0 1 2 4 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 1 1 1 3 6 11 13 14 16 17 16 16 12 8 6 5 5 6 8 10 13 20 26 29 29 26 23 21 21 25 34 45 49 50 54 62 67 70 75 92 124 163 193 221 253 270 288 267 215 163 137 160 245 373 493 556 558 550 496 409 338 294 275 281 284 279 298 345 397 464 550 634
7 3 1 2 10 16 19 15 5 0 0 0 0 0 0 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 1 3 7 9 10 7 5 3 3 3 3 3 4 4 5 6 9 13 19 24 27 28 27 24 22 22 25 33 40 42 42 45 49 52 51 55 73 92 108 118 128 148 148 140 128 108 84 76 95 137 193 244 295 308 306 255 203 172 149 136 148 152 157 173 198 229 265 317 398
3 0 0 3 9 13 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 1 3 3 2 1 0 0 0 0 1 1 2 1 2 3 7 11 15 19 22 24 24 23 22 21 23 26 27 26 28 29 27 29 28 28 28 35 47 53 57 57 54 47 43 39 41 46 56 70 83 90 101 100 98 87 76 73 63 58 58 58 61 65 74 86 101 124 163
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