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 4 4 4 3 2 2 2 3 3 4 4 3 3 3 3 3 3 3 3 4 4 3 3 3 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 6 6 7 7 7 8 10 13 16 15 11 6 5 5 5 5 5 5 5 4 3 3 4 5 5 5 5 3 0 -1 1 4 4 4 4 5 5 6 7 8 8 9 9 9 9 9 8 7 6 5 5 5 5 5 6 6 6 6 6 7 6 6 5 5 5 5 5 4 5 5 6 6 6 6 5 5 4 4 5 6 6 nan
nan 3 4 4 5 5 4 3 2 2 3 3 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 7 8 10 14 16 14 8 5 5 5 5 5 5 4 4 3 3 4 5 5 5 5 5 3 2 2 4 5 5 4 5 5 6 7 7 8 8 9 9 9 9 9 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 4 5 7 7 nan
nan 4 4 5 5 4 3 3 2 3 3 4 5 4 4 4 4 3 3 3 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 8 12 16 17 14 8 6 5 6 6 6 5 4 4 4 5 5 5 5 5 6 5 3 2 1 3 6 6 5 5 5 6 7 7 8 8 8 9 9 10 10 9 8 8 7 7 7 7 7 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 5 5 6 7 nan
nan 4 4 4 4 3 3 2 2 3 4 5 5 4 4 4 4 4 4 4 4 4 5 5 5 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 5 5 5 5 5 5 5 6 9 13 17 17 13 9 6 6 7 7 7 6 5 5 7 8 8 7 6 6 6 5 2 -1 -0 3 6 6 5 5 5 6 7 7 8 8 8 9 9 10 10 9 9 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 6 6 6 5 5 5 5 6 6 6 6 6 6 nan
nan 3 3 3 3 3 2 2 3 4 5 5 4 4 4 4 4 4 4 4 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 5 5 5 5 5 6 6 6 6 6 6 6 7 9 12 15 14 11 8 6 6 7 7 6 6 6 7 7 8 8 8 7 6 6 4 1 -1 0 3 5 5 5 5 5 6 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 6 6 7 7 7 7 7 6 6 6 6 5 5 5 6 6 6 6 6 nan
nan 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 4 4 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 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 10 11 10 9 7 6 6 6 6 6 6 6 7 7 6 6 6 6 6 5 3 1 1 2 3 4 5 5 5 6 6 7 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 7 7 7 7 7 7 7 7 6 6 6 5 5 6 6 6 6 nan
nan 3 3 3 3 3 3 3 3 4 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 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 7 7 6 6 6 6 6 7 7 7 6 6 5 6 6 4 1 1 2 3 4 5 5 6 6 6 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 6 5 5 6 6 6 nan
nan 3 3 4 4 4 3 4 4 4 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 10 10 9 9 8 7 6 5 6 6 7 7 7 7 7 7 7 6 6 6 4 2 2 4 5 6 7 7 7 7 7 7 7 6 7 7 7 7 8 8 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 nan
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nan 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 9 9 10 10 11 12 12 13 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 13 13 12 12 12 11 11 11 9 8 9 8 8 7 7 7 7 7 7 7 6 5 5 5 5 5 5 5 6 7 7 8 8 9 9 9 8 8 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 nan
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nan 7 7 7 7 7 7 8 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 7 6 5 5 6 7 8 8 8 8 8 8 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 7 6 6 7 7 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 8 8 7 6 5 1 -3 -5 -3 0 2 3 5 7 7 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 9 9 nan
nan 7 7 7 7 7 7 8 9 9 8 7 7 7 7 7 7 7 8 8 9 9 8 7 7 7 7 7 8 8 8 8 7 5 5 5 6 7 7 8 8 8 7 7 7 7 8 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 7 6 6 7 9 9 9 9 9 8 9 9 8 8 8 8 7 7 8 8 8 8 7 6 5 4 2 0 0 1 2 3 6 8 8 6 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 9 9 9 9 nan
nan 8 7 7 7 8 8 9 9 9 8 8 7 7 7 7 7 7 8 8 9 9 9 8 7 7 7 7 8 8 8 8 7 6 5 5 5 6 7 7 8 8 7 7 7 8 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 7 8 8 8 8 7 6 6 7 9 9 9 9 8 8 8 8 7 8 8 8 8 8 8 8 8 8 7 6 6 6 5 4 3 2 3 5 8 10 8 5 3 1 2 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 nan
nan 8 7 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 8 8 9 10 10 9 8 7 7 7 8 9 9 8 8 7 5 4 4 5 6 6 7 7 7 7 8 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 8 8 6 5 6 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 6 6 5 5 8 11 11 8 3 -0 -1 1 3 4 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 9 9 9 9 9 nan
nan 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 9 10 10 8 8 7 7 8 9 9 9 8 7 6 5 5 5 6 6 7 7 8 8 9 10 10 10 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 6 5 6 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 7 7 6 7 8 10 10 7 2 -3 -3 -0 3 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 9 9 8 8 nan
nan 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 8 9 10 9 9 8 8 8 7 6 6 7 7 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 7 8 8 8 8 8 7 6 5 6 7 8 8 8 7 7 8 8 7 8 8 8 7 8 8 8 8 8 7 7 7 7 8 8 8 7 6 7 8 9 9 7 2 -2 -2 1 2 3 4 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 7 7 7 8 8 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 8 8 8 8 9 10 10 11 10 10 8 7 7 7 8 9 10 10 10 10 10 10 9 9 10 11 11 10 9 8 7 6 6 7 7 7 7 7 7 6 5 5 6 8 8 8 8 7 7 7 7 7 8 8 7 7 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 8 8 7 4 2 2 3 2 2 3 4 5 6 6 6 6 6 6 5 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 nan
nan 7 6 7 7 8 8 9 8 8 8 8 8 7 7 7 7 7 7 6 6 7 8 8 8 8 8 8 7 7 8 9 11 12 11 10 8 7 7 7 8 9 10 11 11 11 10 9 9 10 11 12 12 11 9 8 7 6 7 6 6 6 7 8 8 7 5 5 7 8 9 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 6 7 8 8 8 8 8 7 7 7 7 8 7 7 6 7 6 5 3 3 3 4 5 6 6 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 nan
nan 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 7 8 8 8 8 9 9 8 6 6 8 9 10 10 9 8 8 7 8 9 10 11 11 11 10 10 9 9 10 12 12 12 11 10 9 9 8 8 7 7 7 8 10 9 7 5 5 7 9 9 9 8 7 7 7 7 8 7 7 7 8 8 8 8 7 7 6 7 8 8 9 8 8 7 7 7 7 7 7 7 7 8 8 6 6 5 5 5 6 6 7 7 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 nan
nan 7 7 8 8 8 7 7 8 8 8 8 7 7 6 6 6 7 7 7 8 8 8 9 10 10 10 10 9 7 6 6 7 8 8 7 7 7 7 8 9 11 11 10 10 9 9 9 9 10 12 12 11 11 11 10 10 9 9 8 8 8 9 10 8 6 6 6 8 9 9 9 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 8 8 9 8 7 7 8 7 7 7 7 7 8 8 7 7 7 7 7 6 6 7 8 10 11 11 9 8 7 6 6 7 7 7 7 7 7 7 7 7 8 8 8 7 7 nan
nan 7 8 8 8 8 7 8 8 7 7 7 7 6 6 6 7 7 7 8 8 8 8 9 10 10 11 11 10 9 7 6 6 6 6 6 6 6 6 7 8 11 11 10 9 8 8 8 9 10 11 11 11 11 10 10 9 9 9 9 9 8 8 7 6 6 7 8 8 9 9 8 8 7 7 7 7 7 7 6 7 7 7 7 7 7 8 8 8 9 8 8 8 7 7 7 7 7 7 7 7 8 7 7 7 7 8 8 7 8 9 12 15 16 15 11 8 5 5 6 7 7 7 7 7 7 7 7 7 7 8 7 7 7 nan
nan 8 8 8 8 7 7 8 8 8 7 6 6 6 6 7 7 8 8 8 8 8 8 9 10 10 11 11 11 10 9 8 7 6 6 6 5 5 6 6 7 9 10 10 9 8 8 8 9 9 10 10 10 10 10 9 10 10 11 11 10 9 6 3 3 5 7 8 9 10 9 8 7 7 7 7 8 7 7 7 7 7 7 7 6 7 8 9 9 9 8 7 7 7 7 7 7 8 7 7 7 7 7 7 6 6 7 8 8 9 11 13 16 16 13 8 2 -0 3 6 7 7 7 7 7 7 7 8 8 7 7 7 7 7 nan
nan 8 8 8 8 7 7 8 8 8 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 9 10 11 11 10 10 9 8 8 7 7 7 6 6 7 7 8 9 9 9 9 9 9 9 9 10 9 9 8 8 9 10 11 12 12 11 9 5 2 2 4 7 9 10 10 9 8 7 7 8 8 8 7 7 7 8 8 7 6 6 7 8 8 8 8 8 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 8 9 10 11 11 10 5 -3 -8 -5 2 5 7 7 7 7 7 8 8 8 8 7 7 7 6 6 nan
nan 8 8 8 7 7 8 8 8 8 8 9 8 7 7 7 7 7 8 7 7 7 7 8 8 8 9 10 10 10 10 10 10 9 9 9 9 8 7 7 7 8 8 9 10 10 11 10 10 9 9 8 8 8 8 9 10 11 12 11 10 7 3 1 2 5 8 10 10 9 8 8 8 8 8 8 7 7 8 8 9 8 7 6 6 7 7 7 7 8 7 8 8 8 8 8 8 8 7 8 8 7 7 7 7 7 7 7 8 8 8 8 7 4 -3 -11 -12 -4 3 6 8 8 7 7 7 8 8 8 7 7 7 6 6 6 nan
nan 8 8 7 7 7 8 8 8 8 9 10 9 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 8 8 7 7 8 9 9 10 11 12 11 10 9 8 8 8 9 9 10 10 10 9 6 3 1 1 4 8 11 12 10 8 7 7 7 8 8 7 6 7 8 9 9 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 1 -7 -11 -7 1 7 9 9 8 8 8 8 8 8 8 7 7 6 6 6 6 nan
nan 8 8 8 8 8 8 8 8 8 9 10 9 8 7 7 6 6 6 7 7 7 8 8 8 9 9 9 8 9 9 10 10 10 10 10 10 10 9 8 7 7 8 9 8 8 9 11 12 11 10 9 9 9 9 9 9 9 9 6 3 0 0 3 8 12 14 13 10 7 6 6 6 7 7 7 7 8 9 9 9 9 8 8 8 7 6 6 6 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 4 -1 -7 -6 2 10 13 12 10 9 8 8 8 8 8 7 7 6 6 6 6 6 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 7 6 6 9 11 12 11 11 10 10 9 9 9 8 8 5 3 1 3 7 12 16 17 14 11 8 6 6 6 7 7 8 8 8 8 8 8 8 9 8 7 6 6 7 7 7 8 9 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 7 7 7 6 6 4 1 0 6 14 20 19 15 12 10 9 8 8 8 7 7 6 6 6 6 6 6 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 7 7 7 8 8 8 9 9 9 8 8 7 7 7 6 5 6 9 11 12 12 12 11 10 9 8 8 7 6 4 4 6 11 14 16 15 12 10 8 8 8 8 8 8 8 7 6 6 6 7 8 8 7 6 6 7 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 7 6 6 6 7 8 10 17 22 23 19 15 13 11 9 8 7 7 6 6 6 6 6 6 7 7 nan
nan 9 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 8 7 7 7 8 8 9 9 8 6 6 6 7 7 7 8 10 10 10 8 7 8 9 7 5 5 7 9 10 10 11 12 11 9 8 8 7 6 5 6 9 12 13 13 11 9 9 9 10 10 10 10 9 7 6 5 6 7 7 8 7 6 6 6 8 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 9 11 13 16 17 16 14 12 12 10 7 4 4 5 6 6 6 6 6 7 7 7 nan
nan 8 8 8 9 9 9 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 8 10 11 10 9 8 9 10 9 8 6 6 6 7 8 9 10 9 8 7 7 7 6 6 7 10 11 11 10 8 8 9 10 11 10 10 9 8 7 6 6 7 7 7 7 6 5 6 7 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 9 9 10 10 10 9 8 8 8 6 2 -0 2 4 5 6 6 6 7 7 7 7 nan
nan 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 7 6 7 9 10 10 10 10 10 10 10 9 8 6 4 4 5 6 7 7 7 6 6 6 6 6 8 10 10 10 8 8 9 10 12 11 9 9 9 8 6 6 7 7 7 7 6 5 6 6 7 9 9 9 8 8 7 7 8 8 8 8 9 10 9 9 9 9 9 9 9 9 9 9 8 7 8 9 9 9 8 6 4 2 1 -0 -2 -5 -5 1 4 6 6 7 7 7 7 7 7 nan
nan 8 8 8 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 8 9 10 11 11 11 10 9 9 9 10 9 8 6 6 7 8 9 10 10 10 10 10 9 8 6 4 3 4 4 5 6 6 6 6 6 6 6 7 9 9 10 9 8 9 10 11 10 9 9 8 7 6 7 8 8 7 6 5 6 6 7 8 8 8 8 8 7 7 7 8 8 8 8 9 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 6 2 -2 -6 -8 -9 -10 -11 -6 1 5 6 7 7 7 7 7 7 8 nan
nan 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 7 8 10 10 11 11 10 9 9 9 10 9 7 6 5 6 7 8 9 10 10 10 10 9 7 7 6 6 6 5 5 6 6 7 7 7 6 5 5 6 8 9 8 8 8 9 9 8 8 8 7 7 8 8 9 8 6 5 5 7 8 8 8 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 5 1 -2 -5 -7 -8 -8 -6 -0 4 6 7 7 7 7 7 7 7 8 nan
nan 8 8 8 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 10 9 9 9 8 6 5 5 5 6 7 8 9 9 10 9 9 8 8 9 9 9 8 7 7 7 7 8 8 7 4 3 4 6 7 7 7 8 8 6 6 7 7 7 8 8 9 8 7 5 5 6 8 9 9 9 9 9 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 8 9 10 10 9 8 8 8 8 9 9 8 7 7 6 6 5 3 2 3 5 6 7 7 7 7 7 8 7 7 8 nan
nan 8 8 8 9 9 9 8 8 8 8 8 9 9 8 8 7 7 7 8 8 8 8 8 7 7 8 9 10 11 11 11 10 9 8 6 5 5 5 6 6 7 7 8 8 8 8 8 9 10 11 11 10 10 10 9 9 10 10 9 7 5 5 6 6 7 7 8 7 5 5 5 6 7 8 8 7 6 5 5 6 8 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 10 11 13 14 13 10 6 4 4 6 7 7 7 7 7 7 8 8 8 nan
nan 8 8 8 8 9 9 9 8 8 8 8 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 10 11 12 12 11 11 10 9 6 5 5 6 6 6 6 7 7 7 7 7 8 9 10 10 11 11 11 11 11 12 11 11 11 11 9 8 7 7 7 7 7 6 5 5 5 6 6 6 6 5 5 5 6 7 9 10 10 9 8 8 8 8 8 8 9 9 8 8 7 7 7 8 8 8 8 9 9 10 10 10 9 9 9 9 8 9 9 9 10 10 12 12 11 6 1 -0 2 5 7 7 7 7 7 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
128 118 100 78 63 61 67 82 80 70 58 45 34 28 25 24 24 24 26 24 25 23 23 25 26 28 28 27 26 26 27 27 30 32 34 34 32 31 32 33 38 45 56 77 97 121 139 154 173 193 204 213 227 219 203 201 184 154 124 104 88 74 61 45 28 4 3 11 8 3 1 1 2 2 1 2 0 1 1 1 1 1 1 2 14 38 53 52 47 57 48 35 29 23 18 14 14 19 25 24 21 22 25 27 30 34 40 49 63 91 150 206 265 292 282 249 168 101 68 52 42 41 42 40 38 36 47 80 141 243 362 482 606 682 648
132 118 91 65 55 52 62 77 73 60 47 37 31 28 26 26 24 24 27 27 24 23 24 25 27 28 28 29 28 29 30 30 32 36 39 39 37 38 43 47 54 57 68 98 121 144 166 189 215 238 255 268 277 271 254 262 272 254 210 173 151 121 93 54 37 13 7 11 10 4 2 3 2 2 3 3 3 2 2 1 2 1 1 5 17 42 66 70 70 95 86 69 53 37 25 18 16 16 20 19 17 19 22 24 27 29 32 37 44 55 86 136 222 271 284 259 198 130 86 66 46 43 50 45 43 40 39 47 70 113 182 280 390 476 415
123 100 74 68 62 60 64 64 56 45 34 29 28 27 28 28 26 28 29 28 28 27 26 28 32 33 32 31 33 33 34 34 35 36 37 37 37 38 48 60 57 57 65 82 96 112 134 165 203 235 265 286 272 258 253 269 298 303 264 224 219 169 115 77 54 31 16 12 8 4 3 3 2 3 3 4 4 3 3 1 1 1 2 4 10 32 80 90 94 109 110 111 104 75 36 24 20 19 19 18 16 16 19 22 25 27 29 30 31 35 47 64 105 143 163 161 142 113 79 63 49 48 49 47 45 45 46 49 57 70 89 128 235 303 306
115 90 88 87 80 69 61 53 44 34 25 22 24 25 28 27 29 30 29 27 27 27 28 31 35 38 39 36 39 43 45 46 47 45 40 37 36 38 49 59 60 59 61 61 66 77 94 120 157 190 226 247 226 214 218 235 260 280 266 237 255 207 140 98 69 50 29 17 11 7 5 3 1 1 2 3 2 2 1 1 0 0 2 3 5 18 74 107 124 122 123 129 129 117 87 49 31 25 22 19 14 13 16 20 23 24 25 26 26 28 32 38 45 56 65 67 67 70 57 49 47 51 54 49 43 45 54 65 71 81 84 85 135 194 282
138 123 123 107 87 67 56 48 36 27 21 19 23 27 28 30 31 31 30 28 28 28 30 33 37 41 44 45 47 55 62 66 71 65 49 44 44 49 63 68 71 77 76 72 72 76 83 99 118 138 158 166 170 175 174 181 200 218 220 203 197 151 129 99 74 60 41 24 15 11 10 4 0 1 0 1 0 0 0 0 0 0 2 3 4 36 73 126 175 174 151 155 162 173 180 135 76 39 26 22 16 15 16 16 16 18 20 23 25 27 29 31 32 35 38 41 40 43 44 45 50 55 54 48 42 41 46 52 68 85 105 105 100 114 210
183 162 141 93 69 59 53 43 32 24 22 25 30 33 33 33 33 34 33 32 33 34 35 40 45 51 57 61 63 71 71 67 69 67 55 53 55 61 73 83 93 113 122 121 118 112 104 105 111 121 126 127 136 134 125 125 136 152 167 174 168 136 119 93 69 53 40 28 19 18 21 11 4 2 0 0 0 0 0 0 0 0 2 2 4 21 75 146 221 244 205 193 202 217 225 202 132 67 41 32 23 17 16 15 13 14 18 22 25 28 30 32 32 34 37 41 39 37 38 44 51 53 53 48 43 40 42 52 61 73 95 109 101 80 85
199 137 88 53 48 51 46 37 30 28 30 35 40 41 39 40 40 39 38 37 39 42 48 56 67 74 83 88 92 95 80 59 52 53 52 55 65 66 70 78 106 148 178 190 192 187 180 174 161 153 149 136 123 111 103 103 110 124 140 169 185 175 147 114 84 62 48 37 25 25 25 21 16 11 5 3 2 1 0 0 0 1 3 9 26 65 135 201 267 312 281 247 246 248 229 225 170 116 90 74 45 19 18 18 17 18 21 25 27 29 30 31 33 36 40 43 37 34 32 31 34 41 45 45 44 39 36 46 53 55 64 81 91 78 65
150 73 54 47 46 44 37 32 32 35 39 43 46 48 52 59 57 51 49 50 48 52 63 74 91 98 105 114 121 115 91 66 57 61 72 75 77 78 77 87 127 176 215 246 272 283 288 297 279 249 220 189 157 138 134 135 141 144 139 174 196 196 179 153 120 88 70 61 39 32 21 16 13 10 7 6 4 1 0 0 1 3 9 26 63 140 226 283 323 355 344 307 288 293 272 280 257 213 192 179 127 47 32 23 25 26 31 33 29 29 30 30 32 35 40 45 37 30 27 25 26 30 31 30 32 28 26 28 28 32 42 58 71 69 64
93 60 47 43 40 37 33 32 35 39 44 47 49 50 54 58 58 60 61 58 52 57 72 82 100 108 117 136 149 141 118 107 116 116 127 100 113 140 151 164 193 228 262 301 336 340 351 340 336 320 295 272 254 236 218 206 205 197 182 198 202 193 183 162 124 96 81 73 50 33 14 8 9 9 9 8 6 2 1 1 3 7 14 44 114 215 309 373 413 434 450 404 371 414 430 395 353 331 324 333 300 218 151 109 91 78 76 74 58 48 50 48 38 44 58 69 65 52 40 32 22 29 26 22 19 18 17 16 16 18 27 36 47 61 70
53 43 39 36 33 32 32 34 38 42 47 49 49 52 56 57 57 60 65 66 63 70 81 91 117 133 152 180 200 207 214 222 231 213 224 234 227 232 254 282 299 311 335 361 378 355 354 330 323 329 333 333 322 298 276 263 257 256 247 236 206 175 160 137 88 66 69 58 41 24 12 7 7 10 10 8 7 5 2 2 6 10 22 60 143 266 380 459 523 550 610 567 516 527 541 493 417 397 415 470 475 440 384 330 287 246 202 174 166 171 168 160 118 112 127 143 144 125 86 70 63 66 62 50 38 24 13 12 15 14 12 15 25 43 57
38 36 35 35 33 33 35 36 40 45 49 47 47 60 74 81 78 74 76 81 92 112 114 129 167 193 212 236 252 260 269 272 267 268 280 300 304 310 334 359 368 366 377 381 384 359 342 321 309 312 324 332 330 323 302 297 307 327 293 270 257 229 187 134 81 60 57 43 40 22 11 8 8 11 12 10 7 5 3 4 9 16 34 84 177 297 423 523 608 641 705 721 693 674 658 589 520 483 516 570 598 615 615 571 507 454 383 337 341 368 353 359 332 292 275 273 270 255 198 163 147 146 148 134 115 93 58 39 27 20 16 12 11 17 22
34 32 33 35 35 37 39 42 43 46 47 43 50 70 75 85 85 78 83 91 119 142 156 194 227 232 239 252 260 261 250 245 250 271 294 323 355 370 370 372 372 353 335 325 327 327 326 318 310 290 274 281 280 292 325 353 361 371 332 317 319 286 210 134 97 84 72 63 63 36 14 10 11 12 12 9 5 4 3 5 12 24 53 126 252 359 492 586 652 685 733 814 857 855 877 801 734 695 686 699 708 730 742 715 671 628 578 517 511 535 539 543 530 499 463 432 411 399 356 312 278 268 268 262 252 248 199 128 91 71 53 33 15 6 5
28 26 32 40 42 38 37 39 37 37 37 36 39 51 50 57 63 62 74 95 127 146 170 216 237 229 227 230 227 229 224 231 251 285 310 341 357 351 333 311 289 267 249 248 253 263 287 306 301 275 264 292 311 336 379 398 392 382 366 352 341 321 264 179 132 136 107 98 82 49 22 13 11 9 9 7 4 4 5 9 18 39 84 169 298 434 556 632 679 720 768 856 962 1031 1104 1085 1032 986 937 908 889 883 884 873 850 786 739 676 645 636 634 638 636 620 592 568 539 511 482 460 429 399 381 372 376 403 386 299 210 160 120 82 52 29 10
31 37 50 62 61 48 35 33 31 28 26 25 24 27 29 33 40 49 64 82 103 134 144 165 182 182 180 182 186 195 209 240 273 283 297 316 308 279 253 231 212 190 179 200 216 233 252 273 300 329 351 352 359 348 353 380 386 375 359 341 326 307 223 178 143 133 100 86 73 53 34 16 8 6 5 5 4 6 12 21 33 59 113 198 346 493 607 673 715 764 820 894 1003 1115 1229 1293 1272 1242 1202 1168 1133 1098 1076 1068 1090 1007 951 895 836 774 721 703 723 723 712 683 653 619 605 606 596 562 510 466 454 488 534 495 401 297 208 145 106 75 52
50 73 92 103 102 82 55 58 51 36 26 22 19 22 24 26 28 30 35 51 59 73 89 110 124 129 132 139 150 162 183 192 227 231 241 240 214 181 158 147 137 125 134 153 162 172 186 214 253 290 328 347 364 333 349 359 349 333 318 306 290 283 222 159 129 102 78 60 49 45 31 11 5 4 4 5 5 9 19 34 55 98 176 309 448 553 643 707 767 837 909 986 1057 1124 1161 1232 1295 1320 1321 1312 1297 1275 1263 1255 1306 1273 1238 1200 1146 1066 973 912 903 888 860 831 803 788 789 784 761 742 699 612 554 559 606 613 554 446 325 227 168 125 99
82 127 174 180 151 119 76 79 91 71 47 39 42 43 34 27 28 28 31 40 43 48 56 70 83 90 94 104 117 122 141 151 180 194 193 176 146 113 87 81 91 95 96 96 95 96 118 165 213 251 304 320 324 324 320 308 292 275 262 254 239 184 128 97 72 55 45 35 27 26 15 5 3 3 4 5 7 14 29 53 87 153 255 376 491 590 672 745 821 903 982 1059 1136 1170 1179 1202 1252 1290 1304 1320 1347 1352 1375 1420 1445 1461 1468 1472 1465 1416 1326 1233 1163 1125 1090 1067 1034 994 961 947 974 976 930 820 737 696 696 715 710 624 481 350 260 188 144
130 170 197 162 115 117 98 93 103 87 64 52 49 50 47 40 35 30 39 37 31 33 37 46 55 58 58 66 79 89 107 120 133 139 134 113 81 54 51 57 78 64 57 62 67 75 93 124 167 207 236 248 254 255 249 241 228 208 184 167 151 93 54 35 29 27 26 22 18 14 6 2 1 2 3 4 8 20 43 72 118 224 322 429 521 603 680 757 839 909 969 1021 1103 1175 1238 1294 1343 1365 1347 1375 1398 1424 1432 1437 1503 1574 1598 1586 1617 1664 1656 1617 1552 1471 1414 1373 1310 1243 1223 1242 1166 1119 1119 1088 989 882 831 839 861 789 657 525 396 277 203
131 121 73 26 39 102 119 85 72 67 62 63 67 76 86 84 58 34 36 30 22 19 21 28 36 40 41 49 62 75 88 99 102 95 85 71 54 47 47 51 48 37 38 41 42 40 40 66 111 148 169 187 199 204 201 192 176 135 92 62 50 37 30 25 22 21 21 19 16 9 5 3 5 6 6 7 12 29 53 89 150 292 375 457 540 605 668 739 807 845 879 918 1002 1107 1212 1314 1441 1532 1475 1485 1542 1615 1635 1671 1674 1671 1668 1671 1769 1821 1785 1788 1854 1806 1733 1670 1583 1521 1478 1328 1295 1382 1408 1316 1201 1115 1025 981 1005 963 863 724 574 432 321
56 40 35 40 61 104 123 61 69 63 64 79 91 101 115 107 60 27 25 17 13 14 18 28 41 51 56 62 73 80 78 79 72 61 58 55 52 46 35 34 41 53 47 35 31 21 17 40 81 121 134 145 154 161 159 150 131 80 40 28 27 26 26 23 20 21 21 21 18 12 7 5 6 6 8 10 19 35 58 114 209 314 379 433 489 551 617 669 709 713 726 761 838 951 1083 1236 1441 1592 1543 1558 1712 1836 1793 1715 1664 1633 1652 1731 1824 1784 1777 1853 1951 1963 1897 1835 1801 1754 1673 1672 1687 1652 1599 1571 1530 1393 1284 1267 1197 1135 1057 933 786 638 497
4 14 33 52 62 78 105 38 58 65 86 119 152 171 156 98 31 13 9 10 13 24 45 74 99 109 105 82 83 82 68 58 46 37 40 39 36 27 18 19 27 50 51 42 40 28 21 32 52 64 68 80 95 105 107 101 81 45 28 23 21 19 19 20 19 20 21 21 20 16 12 10 9 10 11 15 25 40 70 146 242 313 358 390 423 477 531 547 551 534 529 549 590 668 792 917 1087 1252 1295 1350 1525 1684 1636 1445 1353 1379 1466 1546 1599 1628 1696 1833 1911 1859 1804 1830 1907 1793 1683 1658 1708 1803 1875 1854 1702 1539 1479 1429 1394 1367 1283 1158 1021 875 738
2 6 12 19 26 30 53 23 40 87 138 171 187 183 148 84 13 10 11 22 45 85 132 172 197 198 149 102 88 71 51 36 27 24 22 19 17 14 15 16 17 23 29 34 37 36 41 28 25 37 34 37 47 53 57 53 39 28 22 20 19 16 14 14 16 18 21 23 22 19 15 14 13 13 16 23 30 45 90 169 238 292 335 365 400 423 402 377 352 324 315 330 354 383 434 460 499 608 710 782 917 1073 1113 1039 1047 1190 1252 1238 1204 1256 1343 1351 1334 1461 1582 1600 1571 1543 1593 1727 1794 1731 1707 1689 1655 1757 1868 1891 1800 1665 1534 1402 1226 1062 917
0 1 2 5 7 10 17 23 59 121 183 224 233 205 168 181 64 46 60 96 151 204 240 264 259 263 162 111 76 48 29 18 12 9 9 10 10 11 11 11 11 13 17 20 22 23 25 16 14 17 18 17 19 23 25 23 19 19 18 17 15 12 12 14 17 20 23 26 25 22 19 17 16 13 14 25 36 54 106 169 232 277 285 286 283 258 227 199 169 144 140 157 175 174 178 176 152 170 231 286 364 469 541 581 698 928 1007 977 941 999 1120 1207 1220 1282 1241 1208 1241 1355 1420 1390 1303 1260 1341 1370 1564 1780 1857 1908 1888 1795 1694 1555 1352 1185 1060
0 0 2 5 5 8 9 14 36 87 163 247 301 302 275 297 270 327 318 259 238 245 247 270 238 246 145 77 36 18 11 8 6 6 7 6 5 4 4 3 4 5 7 9 9 8 7 5 5 5 6 5 7 10 10 10 11 11 11 11 10 9 9 13 18 22 24 26 26 25 22 17 13 8 12 22 41 73 122 162 190 202 175 151 127 99 88 78 64 55 56 68 78 76 75 85 74 74 86 101 121 145 156 224 364 524 643 706 740 837 1038 1093 906 825 886 973 1068 1143 1114 994 982 1035 1038 958 1103 1263 1325 1336 1387 1467 1472 1360 1230 1151 1111
1 3 5 6 6 8 7 6 11 34 94 170 207 187 171 163 195 217 209 182 169 169 167 184 176 164 90 32 9 5 4 2 2 1 1 1 1 0 0 0 0 1 1 2 2 1 1 0 0 0 1 1 1 3 3 3 4 5 5 5 5 6 6 10 14 18 20 23 25 25 20 13 11 7 16 32 55 96 129 130 117 102 76 55 46 36 30 28 28 30 32 38 44 44 49 55 57 60 66 70 73 74 77 93 135 192 291 400 491 615 793 839 846 827 806 807 797 762 722 698 663 622 685 666 753 877 936 935 940 995 1042 997 949 966 1038
4 7 9 10 6 6 6 5 5 16 43 68 71 51 33 37 54 81 101 89 66 65 80 97 106 84 36 8 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 1 1 1 1 2 2 1 1 3 7 12 13 14 16 19 19 14 11 10 14 34 51 62 88 97 73 57 47 35 26 25 23 22 21 21 22 25 27 29 30 32 36 40 47 52 55 64 62 62 67 75 91 132 196 253 298 377 559 698 693 675 650 592 535 552 636 613 523 534 598 704 785 776 806 825 837 823 795 782 802 854
7 9 11 11 5 6 7 7 7 10 15 17 16 10 8 7 10 20 36 35 20 18 28 42 42 26 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 1 4 8 8 6 7 9 9 8 10 17 34 48 58 58 51 43 34 30 26 20 19 20 20 21 21 21 21 20 24 24 24 24 26 30 35 40 44 54 57 61 68 74 78 96 132 151 170 270 409 526 592 597 579 554 505 562 552 563 553 545 594 695 757 713 772 808 805 772 726 676 637 657
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