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 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 10 14 15 13 10 8 7 6 5 4 4 5 5 5 6 7 6 6 6 6 2 -2 -2 1 5 6 6 7 8 9 9 8 8 8 7 6 5 4 4 4 4 5 5 6 7 7 7 7 8 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 nan
nan 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 10 13 15 14 11 8 7 6 5 5 5 5 5 6 7 7 7 6 6 6 5 2 -1 1 4 6 6 6 7 8 9 9 9 9 9 8 7 6 5 4 4 4 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 8 9 12 16 17 13 9 7 6 5 5 5 5 5 6 6 7 7 6 5 5 5 3 1 -1 1 4 5 6 6 6 7 8 9 9 9 9 9 8 7 6 6 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 10 13 15 15 12 9 6 5 5 4 4 4 5 5 6 6 6 5 4 4 4 2 -0 -2 0 4 5 5 5 6 6 7 8 9 9 9 9 9 8 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 nan
nan 3 3 3 3 4 4 4 3 2 2 3 4 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 3 3 3 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 10 12 12 11 10 7 5 4 4 4 4 4 5 6 6 6 6 5 5 6 5 3 -1 -2 1 3 5 4 5 5 6 6 7 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 6 7 7 nan
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nan 3 3 3 3 3 3 2 2 2 3 3 4 5 5 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 9 8 6 6 5 6 7 8 8 8 8 8 7 7 7 7 5 2 1 2 3 4 6 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 7 7 7 7 7 nan
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nan 7 7 6 6 5 6 7 10 10 8 7 7 7 7 7 8 8 8 8 8 8 7 6 7 7 8 8 8 8 7 7 6 6 6 7 7 8 8 8 8 8 8 7 6 7 8 8 9 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 8 8 7 6 5 6 7 8 8 9 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 7 5 2 -3 -5 -3 0 2 3 5 6 7 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 nan
nan 7 6 6 6 5 6 8 10 10 9 8 7 7 7 7 7 8 8 8 9 8 8 7 6 7 7 8 8 8 8 7 6 6 6 6 7 8 8 8 8 8 8 7 6 7 8 9 9 8 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 7 6 6 6 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 7 7 6 4 1 -0 0 1 2 4 6 8 7 6 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 nan
nan 7 6 6 6 7 7 9 10 10 9 8 7 7 7 7 7 8 8 9 9 9 9 8 7 7 7 7 8 8 8 7 6 5 5 6 6 7 7 8 8 8 8 7 7 7 8 9 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 7 6 6 7 8 9 9 9 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 7 5 4 4 3 3 3 6 9 10 8 6 3 2 2 4 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 9 9 8 8 8 nan
nan 7 6 7 7 8 8 9 10 10 8 8 8 7 7 7 7 8 8 9 9 10 9 9 8 7 7 8 8 9 9 8 7 6 5 5 5 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 6 6 7 8 9 9 9 9 9 8 7 6 6 6 7 7 7 7 8 8 9 9 8 7 5 6 6 5 5 5 8 11 11 8 5 1 -1 1 3 4 5 5 5 5 5 5 5 5 6 5 5 5 5 5 6 6 7 7 8 8 8 9 9 9 9 8 8 nan
nan 7 7 8 8 8 9 9 10 9 9 8 8 8 8 7 8 8 8 9 9 9 9 9 8 8 8 8 8 9 10 9 8 7 6 6 5 6 6 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 6 6 6 7 8 9 9 9 9 8 7 7 6 6 7 7 7 7 8 8 8 8 7 6 6 7 7 7 7 7 8 10 10 7 3 -1 -2 0 2 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 8 8 8 8 9 9 9 9 9 8 nan
nan 7 8 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 10 10 9 8 8 7 7 6 6 7 7 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 6 6 7 8 7 7 7 8 8 8 7 3 -0 -0 2 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 8 8 8 8 9 9 9 9 8 8 nan
nan 7 7 7 8 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 9 11 11 10 9 8 7 7 7 7 8 9 9 10 10 10 9 9 8 8 9 10 10 10 9 8 8 7 7 7 7 7 7 7 8 7 7 6 6 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 7 8 8 8 7 7 7 7 7 6 5 4 4 5 4 4 4 4 5 5 6 6 6 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 8 9 9 8 8 nan
nan 7 7 7 8 9 9 9 9 9 9 8 8 7 8 8 8 8 8 7 7 8 8 8 8 8 8 7 6 6 8 10 11 11 10 9 8 7 7 7 8 9 10 10 10 10 9 8 8 9 10 11 11 10 10 9 8 7 7 7 6 6 6 8 9 8 7 6 6 7 8 9 9 8 7 7 7 7 7 7 7 7 8 8 8 9 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 6 7 8 7 6 5 5 4 5 5 6 6 6 6 6 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 9 8 8 nan
nan 6 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 6 5 6 8 9 10 9 8 8 8 8 8 9 9 10 10 10 9 9 8 8 9 11 11 11 11 11 11 10 9 8 7 7 6 7 9 9 8 7 6 6 7 8 9 9 8 8 7 7 7 7 7 7 8 8 9 9 9 8 7 6 6 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 6 6 6 7 7 8 8 7 6 6 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 9 nan
nan 7 7 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 9 10 10 10 9 8 6 5 6 7 8 8 7 7 7 7 8 9 10 10 10 9 8 8 8 8 9 11 11 11 11 11 11 10 9 9 8 8 8 8 9 8 8 7 6 6 7 8 9 8 8 8 7 7 7 7 7 7 8 8 9 9 9 8 7 6 7 7 8 8 8 8 8 8 7 7 6 6 7 8 8 8 9 9 8 7 7 8 9 11 12 12 10 8 6 5 5 6 6 7 7 7 8 8 8 8 8 8 8 9 9 nan
nan 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 10 11 11 11 10 9 8 6 6 6 6 6 6 6 6 7 7 9 10 10 9 8 8 8 8 8 9 10 10 11 11 11 10 9 9 9 9 9 9 9 8 7 7 7 6 6 7 9 9 8 8 7 7 7 7 7 6 7 7 8 9 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 6 6 7 7 7 8 8 8 8 8 9 10 13 16 18 17 13 9 5 4 5 6 6 7 7 7 7 8 8 8 8 8 9 9 9 nan
nan 8 9 9 8 8 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 10 10 11 11 11 11 9 8 7 6 6 6 6 6 6 6 7 8 9 10 10 9 8 8 8 8 10 10 10 10 10 9 9 9 10 10 10 10 9 8 6 6 6 6 6 7 9 9 9 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 9 9 9 8 8 8 7 7 7 7 6 7 7 7 7 7 7 7 8 8 10 12 15 18 18 15 10 4 -0 1 4 6 6 7 7 7 7 8 8 8 8 9 9 9 9 nan
nan 9 9 9 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 8 9 9 9 10 11 11 11 11 10 9 8 7 7 7 7 7 7 7 8 8 9 10 10 9 9 9 9 10 10 10 9 8 8 8 10 11 12 11 11 10 8 5 5 5 6 7 8 10 10 9 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 8 8 9 9 9 9 8 7 7 6 7 7 7 7 7 7 8 7 7 7 7 8 9 10 12 13 12 7 -1 -7 -6 -0 4 6 7 7 7 7 7 8 8 8 8 8 9 9 9 nan
nan 9 9 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 9 9 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 9 10 10 11 11 10 10 10 9 8 8 7 8 9 10 11 12 12 10 8 6 4 4 5 6 8 9 10 9 9 8 8 8 7 6 7 8 9 9 9 8 7 7 7 7 8 8 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 9 8 6 -1 -9 -13 -7 0 4 7 7 7 7 7 8 8 8 8 8 8 8 8 8 nan
nan 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 10 10 10 11 11 10 9 9 7 7 8 8 9 10 11 11 10 7 4 3 2 3 6 8 10 10 9 8 8 8 8 8 7 6 7 9 10 10 9 7 7 7 7 7 8 8 8 8 8 8 7 8 8 8 8 8 8 9 9 8 8 8 7 7 7 8 8 8 8 7 3 -5 -10 -9 -2 4 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 9 8 8 8 8 8 8 8 9 9 9 8 7 7 6 6 6 6 7 7 7 7 8 8 9 9 9 8 8 9 10 10 10 9 9 9 9 8 7 7 7 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 7 4 1 1 2 6 9 12 13 11 9 7 6 6 7 7 7 7 8 9 10 10 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 8 7 7 7 8 8 8 7 5 0 -5 -6 -0 7 12 13 11 10 9 8 8 8 8 8 8 8 8 7 8 8 nan
nan 8 8 8 8 8 8 8 8 9 10 9 9 8 7 7 6 6 6 6 7 7 7 8 8 9 9 9 8 8 9 10 10 9 9 9 9 9 8 8 7 7 7 7 8 8 7 8 10 11 11 11 10 9 9 8 8 8 7 5 3 1 2 5 10 13 15 15 12 9 7 6 6 7 7 8 9 9 8 8 8 9 9 9 8 7 7 7 7 7 7 7 8 8 9 9 9 8 8 9 9 8 8 8 8 8 7 8 8 8 7 6 4 2 1 5 13 19 20 17 14 12 10 9 8 8 8 8 8 7 7 7 7 7 nan
nan 9 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 6 6 6 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 6 6 7 7 6 6 8 10 11 11 11 10 9 8 8 8 7 5 4 3 5 9 13 15 15 14 11 9 8 8 8 8 8 8 8 8 7 7 7 8 9 9 7 6 6 7 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 9 8 8 8 7 7 7 7 7 8 10 16 21 23 21 18 15 13 10 8 7 7 7 8 7 7 7 7 7 7 nan
nan 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 7 8 9 10 9 9 8 8 8 8 8 7 8 10 10 9 7 6 7 9 8 6 5 6 8 9 10 10 10 9 8 8 7 7 6 5 6 8 11 13 14 12 10 9 9 9 10 10 9 9 8 8 7 7 7 7 8 8 7 6 6 6 8 8 8 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 9 10 13 16 17 16 15 14 13 11 8 5 4 5 7 7 7 7 7 7 7 7 nan
nan 9 9 9 9 9 8 8 8 8 8 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 7 7 7 8 7 7 7 9 10 11 9 8 7 9 10 10 8 6 5 5 6 7 8 8 8 8 7 6 6 6 6 7 9 11 11 10 9 8 8 10 10 10 10 10 8 8 7 7 8 8 8 8 7 6 5 6 7 8 8 8 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 10 9 9 8 7 7 8 9 10 11 10 9 9 9 9 7 4 1 2 4 6 6 7 7 7 7 7 7 nan
nan 8 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 7 7 7 8 8 8 9 9 9 9 9 8 7 7 7 8 8 7 7 8 9 10 9 9 9 10 11 11 10 8 5 3 3 5 6 7 7 7 6 6 6 6 6 7 9 10 10 9 8 8 10 11 11 10 10 9 8 7 7 7 8 8 8 7 6 5 5 6 7 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 9 8 7 7 8 8 9 8 7 5 3 1 0 -2 -4 -4 -0 3 6 7 7 7 7 7 7 7 nan
nan 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 8 8 7 7 7 7 8 9 10 10 10 9 8 8 8 8 8 7 6 6 7 8 9 9 9 10 10 11 11 10 7 4 3 5 6 8 8 7 6 6 6 6 6 7 8 9 9 8 8 9 10 11 10 10 10 9 8 7 7 8 9 8 8 6 6 5 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 9 9 9 9 9 9 8 7 8 8 9 9 7 3 -1 -5 -8 -10 -12 -13 -7 -0 4 7 7 7 7 7 7 7 7 nan
nan 8 8 8 8 9 9 8 9 9 8 8 8 8 8 9 9 9 9 8 7 6 6 6 8 9 10 10 10 9 9 9 8 8 8 6 5 4 5 7 8 8 9 9 10 10 10 10 9 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 8 7 8 9 9 8 8 9 8 7 8 8 9 9 8 6 5 5 6 7 7 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 9 8 5 2 -1 -4 -7 -10 -11 -8 -2 4 7 8 8 7 7 7 7 7 7 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 7 6 6 7 8 9 9 10 10 10 9 9 8 7 5 4 4 5 7 8 8 8 8 9 9 9 9 9 10 10 9 9 7 7 7 8 9 9 7 5 4 4 5 7 7 7 8 8 7 6 7 7 7 7 8 9 9 8 6 5 5 6 7 8 9 9 9 8 8 7 7 7 7 8 8 8 8 8 9 8 8 8 9 9 9 9 9 8 7 8 8 9 9 8 7 7 8 7 5 2 1 3 5 6 7 8 8 7 7 7 7 7 8 nan
nan 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 8 9 10 11 10 10 9 9 8 5 4 4 5 7 7 7 7 7 8 8 8 8 9 10 11 11 10 9 9 9 10 10 10 9 8 6 5 6 6 7 8 8 7 5 4 5 6 6 7 8 9 8 6 5 4 6 7 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 9 8 8 9 9 9 9 9 10 11 13 15 15 12 8 6 5 6 7 8 8 7 7 7 7 7 8 nan
nan 8 8 9 9 9 9 9 9 8 8 8 9 9 8 8 7 7 8 8 8 9 9 9 9 8 8 10 10 10 10 10 10 10 9 7 6 6 6 7 7 7 7 7 7 7 7 8 9 10 10 11 11 11 11 11 12 12 12 12 11 10 9 8 8 8 8 7 6 4 4 5 5 6 7 7 6 6 5 4 6 7 9 10 10 9 9 8 8 8 8 9 9 8 8 8 7 7 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 10 12 13 13 10 6 2 2 4 6 7 7 7 7 7 7 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
23 22 19 17 17 14 13 15 16 16 13 11 12 15 18 19 17 19 23 26 32 38 41 42 42 44 46 47 47 47 47 44 43 42 42 41 42 46 50 54 58 63 66 69 71 74 75 72 70 70 68 62 61 72 66 42 38 38 34 29 24 21 19 14 10 6 7 8 7 8 8 7 6 4 4 5 2 2 3 2 2 1 1 3 16 40 51 54 50 43 33 36 36 37 35 30 25 25 30 29 31 36 38 41 44 47 49 52 53 56 65 85 117 135 123 94 77 71 70 72 80 83 82 73 60 53 51 50 49 47 44 43 44 47 52
23 20 16 16 14 15 15 16 17 16 13 12 13 17 19 19 17 18 22 27 34 38 41 42 43 45 49 50 49 48 48 46 44 42 41 43 46 51 56 60 61 67 68 71 79 91 107 117 120 119 124 132 139 132 112 83 66 58 50 40 35 36 33 21 12 13 13 12 9 7 6 5 5 6 4 3 2 3 4 2 2 2 3 5 13 32 53 63 69 64 48 38 31 29 28 24 19 21 33 31 29 30 35 42 47 49 49 51 52 54 58 61 65 72 71 72 75 79 80 77 83 82 83 74 65 56 52 50 49 50 49 50 49 48 47
25 23 19 19 16 16 16 18 19 20 18 17 17 19 18 18 17 17 20 25 30 37 41 44 48 54 58 55 51 49 48 50 53 52 51 52 53 56 62 67 69 75 77 78 86 107 135 157 163 157 168 182 182 171 151 125 103 91 80 68 67 73 57 39 28 29 34 33 20 8 6 5 4 4 3 2 2 4 3 2 3 4 5 7 10 22 55 67 82 84 75 55 35 24 26 26 20 22 31 33 32 31 32 35 40 46 48 50 52 54 56 56 57 59 60 61 67 75 82 71 65 62 62 61 60 55 51 50 49 50 52 54 53 50 49
28 24 24 24 21 19 18 21 24 26 26 24 20 21 18 17 17 18 20 22 26 31 37 44 53 67 71 66 61 61 64 68 75 82 80 70 65 72 86 98 95 99 106 108 108 126 158 181 181 171 181 196 198 191 172 149 131 121 112 104 102 96 73 49 39 35 40 41 26 9 6 6 6 6 3 4 4 4 3 3 3 4 5 8 11 15 56 65 76 88 92 85 71 54 33 24 22 25 29 34 34 32 30 31 35 39 41 44 49 51 53 55 54 54 54 54 57 61 65 58 50 46 45 46 49 50 49 48 48 49 52 53 53 51 49
31 27 28 28 26 22 23 27 30 30 28 23 18 19 19 19 19 19 20 21 24 27 31 37 44 56 67 73 73 79 88 90 95 106 109 96 90 97 104 108 113 128 145 147 141 152 172 176 167 158 161 170 178 181 166 145 133 128 125 129 122 90 74 53 34 27 28 26 17 8 8 7 5 4 4 5 5 4 3 2 2 3 5 7 9 34 68 93 109 107 100 115 126 98 56 30 26 33 34 33 32 31 30 30 33 34 35 37 42 43 44 44 43 45 46 44 46 47 47 43 41 40 39 39 41 43 44 47 46 47 49 50 51 51 51
32 29 32 31 31 29 29 33 34 32 24 14 9 12 15 19 19 19 21 22 22 22 26 29 33 39 53 70 81 94 101 98 99 109 122 125 124 123 121 120 129 160 187 184 173 182 187 166 136 123 128 136 139 148 141 125 119 118 119 126 108 80 60 49 40 30 23 19 12 5 5 4 3 4 3 3 2 2 2 1 1 2 4 7 12 39 93 153 195 192 168 176 184 160 121 93 75 76 69 62 58 52 40 37 43 36 35 36 37 39 41 42 40 43 47 45 45 46 45 45 42 39 37 36 36 38 39 42 44 45 46 46 48 52 56
41 37 39 37 39 38 37 37 35 30 20 9 4 6 8 12 13 18 20 20 20 20 21 21 24 29 41 61 90 106 106 107 116 124 133 143 144 128 132 145 165 205 233 228 217 226 225 190 139 112 110 107 100 103 110 110 112 114 112 144 109 79 58 45 32 19 14 10 8 4 2 1 1 1 1 1 0 0 0 0 0 1 2 13 35 71 141 229 301 335 341 327 304 296 236 200 181 161 152 151 138 110 63 38 38 40 45 45 42 45 52 52 49 57 64 62 60 60 56 49 46 45 42 40 40 40 39 38 41 42 43 44 46 50 56
58 54 55 54 58 58 51 41 34 29 21 12 8 3 4 4 9 12 15 17 19 20 18 18 20 24 34 63 102 122 128 140 159 172 173 159 151 146 179 205 229 259 275 268 264 268 261 218 171 134 120 109 100 111 129 133 156 150 116 182 145 95 69 61 51 35 19 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 6 34 78 145 237 331 416 483 525 540 503 448 366 332 323 312 310 312 258 223 162 111 93 100 114 122 131 144 135 130 111 112 117 115 115 117 110 92 72 67 60 59 56 54 51 47 42 40 40 42 44 47 55
102 103 91 96 103 100 82 58 38 32 25 17 14 7 6 7 10 13 16 21 24 24 24 25 26 36 57 97 131 149 160 178 202 220 222 238 208 218 253 279 299 308 293 273 266 255 242 216 188 166 160 155 158 182 195 175 233 193 152 184 142 90 66 73 82 61 28 13 5 3 2 3 3 3 2 1 1 2 1 1 2 5 18 61 137 254 370 442 511 571 617 680 686 669 616 571 561 553 528 531 446 425 377 331 304 290 290 297 306 319 314 298 265 254 247 240 236 233 224 195 158 152 122 109 96 88 80 64 50 47 43 42 43 44 57
143 141 143 157 166 156 130 95 60 38 28 20 18 14 13 12 13 16 21 26 29 32 44 49 58 78 111 145 169 181 192 215 246 252 236 242 253 267 288 326 359 343 284 241 221 212 202 186 178 183 190 192 198 204 200 175 254 225 207 210 164 102 64 63 82 77 55 22 7 4 4 5 5 5 5 4 4 4 2 3 7 15 35 82 167 284 401 494 563 598 629 689 730 756 780 794 799 800 752 738 677 635 603 582 558 532 513 502 491 480 471 467 443 429 422 423 431 435 417 374 307 286 242 203 172 152 136 113 93 76 61 44 41 40 50
179 190 194 211 223 207 172 132 90 47 28 20 18 17 16 16 17 22 27 27 28 36 71 83 105 139 166 187 209 228 238 253 276 283 270 269 275 280 290 324 350 313 242 197 176 178 168 154 156 165 165 162 156 138 175 187 257 281 265 249 203 139 91 71 77 87 65 20 8 8 9 6 4 7 9 7 3 3 1 3 11 24 46 99 204 347 472 531 570 611 650 694 730 757 798 867 919 958 947 929 913 871 819 786 771 749 726 702 686 655 630 630 608 579 570 589 620 651 648 603 528 465 407 348 292 253 228 189 159 135 108 67 48 42 43
246 256 265 264 252 222 180 137 92 48 26 18 17 18 18 18 22 27 28 30 40 63 95 114 145 188 216 231 252 277 284 291 295 297 295 296 296 288 280 292 297 237 199 178 141 128 131 130 157 167 150 162 158 156 220 248 282 290 275 247 217 190 146 92 72 83 65 26 12 8 8 8 5 5 9 10 4 4 2 5 16 33 62 126 255 401 484 515 567 637 699 747 786 824 870 927 1003 1062 1081 1100 1113 1094 1057 1024 995 958 924 899 897 861 827 809 782 742 709 709 735 791 819 816 788 708 611 527 455 392 342 295 260 223 187 135 90 61 43
322 301 290 261 224 186 145 105 66 35 26 19 19 20 22 23 23 24 28 44 81 128 160 173 198 229 256 273 285 300 308 312 303 287 271 249 254 258 242 226 208 178 197 209 157 158 214 319 399 377 314 322 334 331 311 258 232 214 202 190 180 166 128 76 44 55 44 28 13 5 5 6 5 4 6 6 6 7 9 15 27 49 90 171 340 474 512 546 603 680 763 833 892 946 1003 1050 1099 1134 1154 1194 1230 1241 1244 1240 1200 1145 1114 1103 1106 1072 1025 993 974 946 899 861 863 889 910 937 940 877 792 719 646 577 498 438 386 340 291 234 171 112 69
308 258 220 191 165 135 102 68 39 28 25 21 20 21 23 23 23 26 42 82 135 174 208 237 250 261 281 301 311 311 303 284 257 216 203 160 170 195 177 164 150 159 239 331 347 429 447 432 427 418 440 393 327 272 216 171 136 111 103 117 129 114 63 43 19 19 12 8 7 6 7 8 6 5 3 3 5 7 13 25 41 70 145 268 431 530 592 655 704 766 843 913 967 1015 1053 1092 1150 1197 1223 1263 1300 1312 1343 1412 1378 1365 1354 1356 1347 1312 1261 1212 1180 1180 1165 1095 1021 945 921 980 1036 1009 951 878 807 734 683 621 547 483 426 372 307 220 160
212 202 183 166 152 131 98 64 31 27 23 21 19 20 21 23 32 56 96 148 185 230 245 269 288 298 306 312 303 278 249 206 174 140 132 118 133 163 173 190 223 294 327 376 351 317 263 224 209 196 177 189 171 146 106 90 83 80 91 102 88 82 32 10 8 4 2 2 3 4 4 4 4 4 5 7 6 7 16 36 66 108 204 325 442 546 634 715 775 819 865 916 955 980 1005 1057 1135 1204 1248 1279 1297 1306 1359 1482 1551 1585 1617 1629 1605 1548 1486 1443 1363 1380 1361 1280 1221 1220 1252 1237 1148 1104 1073 1034 981 917 871 824 767 693 627 595 540 435 324
186 201 176 152 153 154 146 102 46 28 28 30 24 21 23 30 55 108 163 213 242 270 296 313 317 306 294 293 253 215 194 153 152 201 290 360 331 267 276 325 319 323 258 203 150 106 90 96 102 104 85 114 89 77 58 57 63 63 55 39 31 29 8 1 0 0 0 0 0 1 1 2 4 5 5 5 6 13 31 62 103 158 259 366 462 557 637 695 728 736 754 796 827 837 850 927 1040 1120 1160 1208 1280 1451 1631 1702 1746 1811 1876 1900 1852 1750 1648 1569 1538 1510 1427 1441 1479 1424 1286 1189 1275 1331 1324 1278 1240 1177 1108 1051 990 907 858 848 801 706 564
122 108 71 67 92 108 157 144 93 54 46 50 36 28 34 46 85 143 190 235 268 294 305 296 288 271 248 290 245 210 240 298 338 330 306 268 221 213 226 235 164 93 60 46 42 45 58 77 85 83 59 72 60 55 53 43 30 19 10 3 4 3 1 0 0 0 0 0 0 1 2 3 6 9 8 7 10 26 57 93 129 191 277 367 442 512 558 571 568 549 549 593 626 629 649 749 889 980 1014 1152 1381 1633 1847 2000 2059 2086 2088 2047 1965 1933 1914 1854 1824 1687 1578 1617 1605 1465 1420 1529 1602 1532 1543 1551 1485 1396 1343 1285 1167 1070 1037 1016 980 903 788
37 45 44 47 53 52 92 124 147 112 95 103 100 93 94 100 132 175 221 238 255 259 237 200 201 227 186 207 195 194 209 211 183 140 102 66 32 22 40 49 32 14 9 11 15 16 23 48 58 48 23 17 18 15 6 1 1 0 0 0 0 0 0 0 0 0 0 1 2 5 6 6 9 13 13 11 18 42 78 114 136 202 277 347 405 430 413 378 353 332 342 366 371 376 419 524 668 775 756 857 1062 1295 1544 1858 1963 1901 1859 1904 1994 2005 1980 2105 2104 1899 1732 1626 1483 1427 1632 1740 1730 1745 1801 1726 1545 1411 1342 1244 1215 1163 1120 1086 1055 1006 942
12 16 18 24 35 38 43 56 98 127 121 151 184 195 199 198 202 208 227 253 271 203 144 118 126 171 147 147 172 185 169 172 174 147 90 30 6 5 10 5 3 3 4 5 5 12 37 42 29 14 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 10 11 13 15 16 19 32 55 87 107 137 190 250 295 315 301 263 217 183 165 180 191 186 191 246 352 446 496 447 487 582 699 786 909 1010 1034 1177 1304 1411 1506 1519 1699 1812 1752 1666 1591 1467 1593 1813 1791 1756 1839 1846 1665 1456 1348 1305 1264 1233 1196 1146 1101 1064 1030 997
4 7 9 8 10 16 19 17 25 43 54 77 102 137 188 214 222 233 240 222 229 147 87 98 113 135 150 171 232 262 229 167 123 99 64 19 7 15 16 6 2 2 2 2 3 7 15 9 4 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 11 13 16 17 18 19 26 42 59 78 85 123 165 183 177 164 152 126 103 82 76 84 95 100 105 147 247 302 302 293 306 304 304 304 318 394 464 546 591 650 738 831 965 1083 1220 1377 1438 1485 1636 1623 1545 1649 1813 1734 1453 1272 1187 1178 1209 1223 1203 1165 1121 1074 1036 1009
1 2 1 0 1 2 4 5 5 5 11 18 23 35 60 93 103 99 83 69 75 62 56 82 106 113 133 130 133 159 161 128 117 122 64 7 3 2 2 2 2 2 2 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 12 15 17 19 19 20 29 43 53 55 65 95 111 95 68 57 52 47 47 49 51 49 58 79 108 162 231 278 306 287 265 236 214 211 225 250 252 287 323 335 343 358 374 472 661 789 840 990 1101 1143 1215 1443 1585 1403 1139 991 926 956 1010 1079 1125 1141 1133 1105 1064 1001
0 0 0 0 0 0 0 1 2 3 5 7 10 14 17 14 16 23 17 12 12 14 27 52 69 70 93 90 78 79 74 55 35 17 8 3 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 2 5 7 10 12 13 13 14 26 30 31 35 46 56 55 42 35 34 32 34 42 58 69 62 58 97 171 216 227 243 272 267 266 286 310 296 250 256 265 293 302 281 242 207 193 185 196 309 444 553 637 737 905 1042 1002 901 809 738 737 786 825 887 976 1053 1100 1110 1074 1004
0 0 0 0 0 0 0 0 0 1 2 4 7 11 10 7 4 5 4 3 4 4 7 11 22 41 59 63 64 59 45 26 10 3 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 2 2 3 3 3 12 17 19 22 25 29 33 35 31 32 33 34 37 49 68 85 86 75 92 116 126 144 158 171 182 207 247 285 320 261 285 320 339 338 321 296 278 276 247 258 326 424 504 543 560 555 514 500 561 589 640 716 770 785 803 852 933 1005 1036 1031 1001
1 1 2 3 1 0 1 1 1 2 2 2 3 3 2 1 2 2 3 3 2 3 8 16 22 25 28 29 32 32 24 12 3 1 0 0 0 1 0 0 0 0 0 0 0 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 6 12 13 13 16 20 24 26 29 33 30 32 35 41 53 66 78 88 94 91 95 120 156 178 188 192 218 247 291 315 373 418 406 367 337 300 275 290 309 326 361 418 484 541 570 559 527 477 465 504 605 713 790 837 835 804 838 892 930 950 960
2 3 6 7 2 1 1 2 2 2 2 2 1 1 1 1 1 2 2 2 2 3 7 19 12 9 9 10 11 10 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 9 9 12 18 23 24 26 30 25 26 31 34 39 49 65 79 91 108 124 140 173 221 258 261 307 359 401 442 516 575 537 435 373 310 282 311 354 388 423 448 466 504 576 596 553 447 390 393 451 548 661 758 771 750 761 790 817 829 841
1 2 5 6 1 1 2 2 2 2 2 1 1 1 1 1 2 2 2 2 2 3 5 9 7 5 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 5 4 5 10 19 26 28 22 23 22 24 30 37 43 42 56 69 80 97 114 123 134 165 218 274 351 431 487 521 617 719 686 539 429 386 388 388 432 494 527 514 462 414 475 471 418 328 246 207 209 234 287 357 422 487 542 564 550 538 547
1 1 1 2 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 3 6 6 4 4 3 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 1 4 10 19 27 31 28 27 26 28 34 42 54 40 43 57 70 81 94 104 104 114 145 200 261 317 374 406 453 532 511 413 341 310 307 311 311 333 371 381 353 309 333 309 241 161 98 68 58 49 49 60 95 139 197 229 212 181 195
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