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 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 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 6 8 13 16 14 11 8 6 5 5 6 6 7 7 7 7 6 6 6 6 6 3 -2 -5 -4 1 4 6 8 7 7 7 8 7 6 6 6 6 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 6 5 5 5 5 5 6 6 6 6 6 7 7 7 7 6 6 7 7 7 7 6 nan
nan 2 2 2 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 9 12 15 15 12 9 7 6 5 5 6 7 7 8 8 7 7 6 6 7 6 3 -1 -4 -2 1 4 6 8 8 8 8 8 7 6 5 5 6 6 7 7 7 7 8 8 8 8 8 7 7 7 7 6 6 6 5 5 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 7 8 8 nan
nan 2 2 2 3 3 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 8 10 13 17 18 15 10 7 6 5 5 5 6 7 7 7 7 7 7 6 6 6 5 1 -2 -4 -2 1 4 6 8 9 9 8 8 7 6 6 5 6 6 6 6 7 7 7 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 6 6 6 7 8 8 nan
nan 2 2 2 2 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 5 5 5 5 6 6 6 6 6 7 7 9 12 16 19 18 14 9 6 5 5 5 5 5 6 6 6 6 7 6 5 5 5 3 -0 -4 -4 -0 3 4 6 7 9 9 9 8 8 7 6 6 6 6 7 7 7 7 7 7 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 nan
nan 3 2 2 2 3 3 3 3 3 3 3 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 5 5 5 5 5 5 5 6 6 5 5 6 6 6 6 6 6 7 7 8 10 12 14 15 14 11 7 5 4 4 4 4 5 5 5 5 6 6 5 5 5 5 2 -2 -5 -2 2 4 5 5 7 9 9 9 9 8 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 nan
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nan 7 7 6 5 5 6 7 10 11 10 8 8 7 7 7 7 7 8 8 9 9 8 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 7 8 8 8 8 7 7 7 8 8 9 8 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 7 6 5 5 6 6 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 7 6 5 2 1 1 2 2 4 6 7 7 5 3 3 4 5 6 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 7 nan
nan 7 6 6 6 6 7 9 11 11 10 9 8 8 7 7 7 7 8 9 9 9 9 8 7 7 7 8 8 8 8 8 8 7 6 5 5 5 6 7 8 8 8 7 7 7 8 8 8 7 7 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 7 5 5 5 6 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 8 7 6 6 5 4 4 3 3 5 9 10 7 4 2 1 2 4 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 nan
nan 7 7 7 7 8 8 10 11 10 9 8 8 8 8 8 7 7 8 8 9 10 10 9 8 7 8 8 8 9 9 8 8 7 6 5 5 5 5 6 7 7 7 7 7 8 8 8 8 7 7 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 5 4 5 6 8 8 8 8 8 8 7 7 8 8 7 7 7 8 8 9 9 7 6 6 6 6 6 5 5 8 11 11 7 3 -0 -1 1 4 5 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 nan
nan 7 7 8 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 8 7 7 6 5 5 6 6 7 7 7 8 8 9 9 9 8 8 8 8 8 9 9 10 9 9 9 8 8 8 8 8 8 8 8 6 3 4 5 7 8 9 9 9 9 8 7 7 7 7 7 7 7 8 8 9 8 7 6 6 7 7 7 7 7 8 10 9 6 2 -2 -3 1 3 4 5 5 6 7 7 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 nan
nan 7 7 8 7 7 8 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 8 8 8 7 6 6 6 7 7 8 9 9 9 9 9 9 8 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 7 4 3 4 6 8 8 9 9 9 9 8 8 8 7 7 7 7 7 8 9 8 8 7 6 6 7 7 7 7 7 7 8 8 6 3 -1 -1 1 3 3 4 5 6 7 7 8 8 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 9 9 nan
nan 7 7 7 7 8 9 10 10 9 9 9 8 8 8 8 8 8 8 8 7 8 8 9 9 9 9 8 8 8 9 10 10 10 10 10 8 7 6 6 7 8 9 10 10 10 9 9 8 8 9 10 10 10 10 9 8 7 6 7 7 7 7 8 8 8 6 4 3 5 7 8 9 9 9 9 8 8 8 8 7 7 7 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 5 3 3 3 3 3 3 4 5 7 7 8 8 7 7 7 6 6 6 6 7 7 7 8 8 8 8 8 8 9 9 9 9 nan
nan 7 6 7 7 9 9 9 9 9 8 8 8 7 7 7 8 7 7 7 7 8 8 8 9 9 9 9 7 7 8 9 10 11 11 10 8 7 6 6 7 9 10 10 10 9 9 8 8 9 10 11 11 11 10 9 8 7 7 6 6 6 7 8 9 7 5 3 4 5 8 9 9 9 8 8 8 8 7 7 7 7 8 8 9 9 8 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 6 4 3 3 4 5 6 7 8 8 8 7 7 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 10 nan
nan 7 7 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 10 10 9 8 6 6 7 9 10 10 9 8 7 6 7 8 9 10 10 9 9 9 8 9 10 11 11 11 11 11 11 10 8 8 7 7 7 8 9 10 7 4 3 4 7 9 10 10 9 8 8 8 8 7 7 7 8 8 9 9 9 8 7 6 7 7 8 8 8 7 7 7 7 7 7 7 8 9 8 7 6 5 4 4 5 6 7 8 9 9 8 7 7 6 6 7 7 8 8 8 9 9 9 9 9 9 10 10 10 nan
nan 7 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 11 11 9 7 6 6 7 8 9 9 7 7 7 7 9 10 10 9 8 8 8 8 9 10 11 12 12 12 11 11 10 9 8 8 8 8 9 10 9 6 4 4 5 8 9 10 9 9 8 8 7 7 7 7 7 8 8 9 9 9 8 7 6 7 7 8 8 8 7 7 7 7 7 7 7 8 8 8 7 7 7 5 4 4 6 8 10 12 11 9 8 6 6 6 7 8 8 8 9 9 9 9 9 9 9 10 10 9 nan
nan 8 8 9 9 8 8 8 8 8 7 7 7 6 6 7 7 7 7 7 7 7 8 9 9 10 11 11 10 9 7 7 7 7 8 8 7 6 6 7 8 10 10 9 8 7 7 8 9 10 11 12 12 11 11 10 9 9 9 9 9 9 9 8 6 5 5 5 7 9 10 10 9 8 7 7 7 7 7 7 7 8 8 9 8 8 8 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 7 7 6 6 7 10 14 15 13 10 7 4 4 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 nan
nan 8 8 8 8 8 8 9 9 8 7 6 6 6 6 6 7 7 7 7 7 8 8 8 9 10 11 11 11 10 9 8 8 8 8 8 7 6 6 7 8 9 9 9 8 7 7 8 9 10 11 11 11 10 9 9 9 10 10 11 10 9 7 4 3 3 5 6 8 10 11 9 8 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 8 7 7 8 8 7 7 7 6 7 7 7 8 9 11 14 14 12 6 1 -1 2 6 8 9 9 9 8 9 9 9 9 9 9 9 9 9 nan
nan 9 8 8 8 7 8 9 9 9 8 7 6 6 6 6 6 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 8 7 7 7 8 8 8 8 8 8 9 9 10 11 11 10 9 8 8 9 10 11 12 12 11 9 5 1 1 2 5 8 10 11 10 9 8 7 7 7 7 8 8 8 9 9 8 7 7 7 7 8 8 9 9 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 10 9 4 -3 -9 -5 2 6 8 9 9 8 8 8 8 9 9 9 9 9 9 8 nan
nan 9 9 8 7 8 8 8 9 9 9 8 8 6 6 6 6 6 7 7 7 8 8 8 8 8 9 9 9 10 10 10 11 11 10 10 9 8 8 8 7 7 8 8 9 9 10 10 11 10 10 8 7 7 8 9 10 12 13 13 11 7 2 -0 -0 3 7 10 11 11 9 8 7 7 7 7 7 8 9 9 10 9 7 7 7 7 7 7 8 9 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 4 -3 -11 -12 -4 3 8 9 9 9 8 8 8 8 9 9 9 9 9 9 8 nan
nan 9 9 8 7 8 8 8 8 9 9 10 9 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 9 9 10 11 11 10 10 9 9 8 7 7 8 8 8 8 10 11 11 10 9 8 7 8 8 9 10 11 12 11 7 3 -0 -1 2 6 10 12 11 9 7 6 6 7 7 7 7 8 9 10 10 9 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 7 6 6 6 6 7 5 1 -6 -11 -6 2 8 10 10 9 8 8 8 9 9 9 9 9 9 9 8 8 nan
nan 9 9 8 8 8 8 8 8 9 10 10 9 8 7 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 9 10 10 10 10 10 10 9 9 8 7 8 8 7 7 8 9 10 10 10 9 9 9 9 9 9 9 9 7 3 -0 -1 1 6 11 14 14 11 8 6 5 6 7 7 7 7 8 9 10 10 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 7 6 6 6 6 6 6 4 -1 -6 -5 3 10 14 13 11 9 9 8 9 9 9 9 9 9 8 8 8 7 nan
nan 9 9 9 8 8 8 8 8 9 9 9 9 8 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 8 7 7 7 7 7 8 9 11 11 11 10 9 8 8 8 8 7 5 2 0 2 6 11 15 17 15 11 7 6 5 6 7 7 7 8 8 9 9 9 9 9 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 6 6 5 5 5 4 1 1 6 14 20 19 16 12 10 9 8 8 9 9 9 9 8 8 7 7 7 nan
nan 9 9 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 8 8 7 7 7 8 8 9 8 7 7 7 7 8 8 8 9 10 10 9 8 7 6 7 7 7 7 8 9 10 11 10 10 9 8 7 7 6 5 3 3 5 10 13 15 15 12 9 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 7 6 5 5 6 6 7 10 15 21 21 18 15 13 11 9 7 7 8 8 9 8 8 7 7 7 6 nan
nan 9 9 8 8 9 9 9 8 8 8 9 9 8 8 7 7 7 7 7 7 8 8 7 7 7 7 8 9 8 7 6 7 7 7 7 8 9 10 11 10 9 7 7 8 9 7 6 6 7 8 8 9 10 9 8 7 7 6 5 4 6 8 11 13 13 10 8 6 7 8 10 10 9 8 7 8 8 8 7 7 8 8 7 6 6 7 8 8 8 8 9 10 10 9 9 8 8 8 8 8 8 9 9 9 9 8 7 6 5 5 6 8 10 12 15 16 14 13 12 11 9 6 5 5 7 8 8 8 7 7 6 6 6 nan
nan 9 9 8 8 9 9 9 9 8 8 9 8 8 8 8 7 7 7 6 7 7 8 8 7 7 7 8 8 8 7 7 7 7 7 6 7 9 10 10 10 9 8 9 11 11 9 7 6 4 4 6 7 8 8 8 7 6 6 5 5 7 10 11 10 9 7 5 6 9 10 10 10 9 8 7 8 8 8 8 7 8 8 7 6 6 7 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 7 6 5 6 7 8 9 10 9 8 8 8 7 5 3 1 3 6 7 7 7 7 6 6 6 6 nan
nan 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 6 7 7 8 8 8 8 8 8 8 8 7 7 8 9 8 7 7 8 8 9 9 9 10 11 12 12 11 9 6 3 2 4 6 7 7 7 7 6 6 6 6 8 10 10 9 7 6 7 9 11 11 10 10 9 8 8 8 8 8 8 8 8 7 6 6 6 7 8 8 8 9 9 9 8 9 9 8 9 9 9 9 9 10 10 9 9 8 8 7 7 6 6 7 8 8 8 6 5 3 2 1 -1 -4 -3 2 5 7 7 7 6 6 6 6 6 nan
nan 8 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 8 7 8 9 9 9 7 7 7 7 8 9 10 11 12 12 11 10 7 4 4 6 8 9 9 8 7 7 7 6 7 8 9 9 9 8 7 8 10 10 10 10 10 9 8 7 8 8 8 8 8 7 6 6 6 7 7 8 8 9 9 8 8 8 8 8 9 9 9 9 10 10 10 9 9 8 8 8 8 7 6 7 7 8 8 6 3 -0 -4 -6 -8 -10 -10 -4 2 6 7 7 6 6 6 6 6 6 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 8 8 7 7 8 9 8 7 6 6 7 8 8 10 11 11 11 10 9 8 7 8 9 9 9 8 7 7 7 7 7 6 6 7 7 8 8 7 8 8 8 8 8 9 8 8 8 8 9 8 8 7 6 6 6 7 7 8 9 9 8 7 7 7 7 8 8 9 9 9 9 10 10 9 9 8 8 8 8 7 6 6 7 8 8 8 5 2 -0 -3 -6 -7 -9 -6 0 5 7 7 7 6 6 6 6 6 6 nan
nan 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 8 8 8 7 6 7 8 8 8 8 8 8 8 8 7 7 7 6 5 6 7 8 8 9 10 10 10 9 8 8 9 11 11 11 9 8 7 8 8 8 7 6 5 5 5 6 7 7 7 7 6 6 7 7 7 7 8 9 9 8 7 6 6 7 7 8 9 9 10 9 8 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 9 9 8 7 7 7 8 8 9 8 7 7 8 7 5 3 1 3 6 7 7 7 7 7 7 6 6 6 6 nan
nan 9 8 8 8 8 8 8 8 8 8 8 9 9 8 7 6 6 7 8 9 8 7 7 6 6 7 8 8 9 10 10 9 8 7 6 6 5 6 6 7 7 8 8 9 9 8 8 8 9 11 11 12 11 10 10 10 10 10 9 8 6 6 6 6 7 7 7 6 5 4 5 6 6 7 8 8 8 7 6 6 7 8 9 10 10 10 10 9 8 7 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 10 11 13 14 13 10 7 5 5 6 7 7 7 7 7 7 6 6 6 nan
nan 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 6 6 7 8 8 8 8 7 7 6 7 8 10 11 11 11 10 9 9 8 7 6 6 6 6 7 7 7 7 7 7 8 8 9 10 10 11 11 12 12 13 12 12 11 11 10 9 7 7 7 7 7 6 5 5 5 6 6 7 7 7 6 6 6 6 8 9 10 10 9 9 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 9 9 9 9 9 9 9 10 11 12 11 7 3 1 2 5 7 7 7 7 7 7 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
17 17 16 16 13 10 11 11 4 0 0 0 3 8 13 15 15 16 19 22 23 24 26 27 27 30 34 36 36 36 36 28 26 27 28 27 26 26 27 30 36 41 37 33 29 29 30 29 28 27 27 26 24 25 32 32 30 33 35 35 34 34 34 32 28 24 17 14 9 7 7 5 4 3 1 0 0 0 0 0 0 0 0 3 6 7 10 17 23 26 30 35 33 30 29 30 32 36 41 44 39 40 41 43 48 55 58 59 59 57 54 49 49 54 57 57 54 49 42 38 38 39 39 39 38 39 42 44 43 45 54 66 66 55 52
19 20 19 17 15 13 13 13 9 6 3 3 6 11 13 15 13 13 17 19 22 24 26 27 28 33 42 45 42 43 42 33 28 25 24 26 28 31 38 42 47 55 58 51 42 38 37 35 32 30 28 25 26 25 27 27 26 26 26 26 26 27 28 27 25 21 17 15 12 8 7 5 2 2 1 0 0 0 0 0 0 0 0 3 9 13 14 17 22 25 30 33 32 28 26 26 31 40 42 44 44 48 49 48 48 50 51 53 57 59 62 61 58 56 55 55 55 53 52 49 43 43 42 41 42 43 44 46 49 52 62 80 76 57 47
23 25 24 21 17 15 14 15 16 15 12 10 13 15 13 14 14 15 17 21 25 28 31 34 37 42 46 47 41 39 34 31 29 28 27 29 31 33 34 36 54 62 72 71 63 58 54 49 43 39 36 25 23 22 23 23 23 24 24 21 21 24 29 28 22 19 17 15 12 8 7 6 4 3 2 0 0 0 0 0 0 0 0 2 9 21 22 20 20 23 28 31 31 26 22 22 35 35 35 38 46 54 56 55 53 51 50 51 54 59 62 64 63 60 57 54 53 53 54 53 47 47 45 45 46 47 47 49 53 58 69 87 86 64 51
31 29 26 25 21 18 18 19 22 23 19 14 14 16 14 15 18 19 19 22 26 34 44 53 57 56 48 47 41 37 30 29 32 35 33 32 39 48 54 58 64 71 80 85 85 84 83 75 63 56 52 44 37 33 30 30 30 31 32 28 22 23 32 29 26 24 20 16 11 7 5 5 5 4 1 0 0 0 0 0 0 0 0 3 14 33 31 26 23 22 23 26 28 28 25 25 29 29 30 33 38 45 50 53 53 53 51 51 54 57 61 63 63 60 56 53 51 50 49 48 51 55 53 51 53 55 54 51 53 56 58 68 71 61 54
41 35 30 29 27 25 22 22 25 23 16 10 11 14 14 15 18 19 19 21 27 39 54 66 72 65 53 51 46 44 42 43 48 55 55 42 45 60 69 74 79 83 91 100 106 107 105 95 81 75 72 63 54 51 48 51 55 54 63 73 58 26 30 29 27 26 21 15 10 5 4 4 4 2 2 1 0 0 0 0 0 0 0 3 18 28 31 32 28 23 20 20 23 22 24 25 25 27 28 29 32 36 41 45 50 53 50 51 53 56 59 61 61 59 55 50 46 45 48 54 58 60 58 57 60 60 56 52 54 56 54 54 56 58 63
58 52 45 43 41 41 31 24 23 17 9 5 6 10 12 13 12 15 17 19 24 33 48 59 69 67 63 59 53 55 61 66 68 69 71 61 66 77 76 77 86 99 109 116 118 115 110 101 93 93 95 91 82 75 71 78 87 86 103 111 80 46 33 29 22 17 16 13 8 4 4 3 4 2 3 3 3 2 1 0 0 0 1 5 14 21 38 55 53 36 24 16 18 19 21 21 22 25 26 29 32 36 38 41 47 50 48 48 49 50 54 56 56 54 54 48 45 45 47 49 53 56 56 58 60 59 57 55 54 55 55 54 54 56 67
81 80 76 72 69 65 45 28 19 12 5 3 4 5 7 9 10 12 12 13 17 24 33 43 57 66 70 72 66 67 68 72 80 86 101 112 108 91 83 93 108 119 124 121 116 120 122 113 118 119 122 121 111 100 96 102 109 115 124 113 81 57 47 37 24 17 14 10 7 4 3 2 3 3 4 4 4 3 2 1 1 2 4 6 10 25 57 88 94 70 43 22 15 15 21 20 22 23 24 29 33 34 36 38 41 44 48 49 49 48 49 50 44 47 50 49 49 46 45 46 47 50 52 55 57 58 61 61 59 57 56 56 57 59 62
103 104 108 111 106 92 64 37 19 10 5 1 1 3 3 4 5 7 8 9 12 15 20 29 44 57 76 88 84 82 85 90 97 104 116 125 124 112 124 141 146 147 145 135 136 143 144 126 136 138 138 135 130 127 126 129 138 134 126 139 112 83 63 42 21 10 9 5 5 3 2 1 2 3 3 2 2 2 1 1 1 3 3 5 9 33 67 97 120 117 88 55 44 46 40 31 29 28 28 30 34 36 35 38 44 50 58 58 51 50 49 49 46 46 47 47 48 47 45 43 43 46 48 53 54 56 58 61 63 61 58 59 60 62 59
135 146 155 158 147 121 86 52 26 13 5 0 0 1 2 2 1 3 6 9 11 13 15 24 48 71 106 115 105 100 109 115 112 112 114 125 116 143 160 170 186 197 187 173 167 152 130 125 129 128 128 129 137 152 159 158 174 161 159 178 155 103 61 40 21 3 4 3 3 2 1 1 1 0 0 0 1 1 0 0 0 1 2 3 13 48 93 129 161 167 158 108 83 71 58 50 50 52 50 48 52 49 50 53 53 61 76 79 71 67 63 62 51 53 52 49 47 46 46 45 44 44 45 47 48 49 52 56 59 60 59 59 59 62 62
178 197 204 197 174 139 99 62 35 20 7 1 0 0 1 1 3 8 11 10 13 15 22 39 84 116 143 146 131 123 130 129 113 113 114 126 148 165 179 207 242 247 217 199 161 138 116 107 105 111 119 138 164 174 168 174 200 200 191 188 161 116 79 49 21 4 3 2 1 1 0 0 0 0 0 1 0 0 0 0 0 0 1 3 19 63 131 196 234 222 219 184 149 120 101 95 97 105 106 100 97 96 99 93 86 93 109 120 125 123 119 116 107 97 84 71 59 50 48 48 47 50 47 44 43 42 44 50 55 58 60 60 60 61 63
227 238 229 206 173 135 96 62 37 22 7 1 1 4 5 6 9 17 19 9 14 32 54 80 126 161 173 169 164 162 155 138 122 116 119 136 159 179 197 225 251 240 199 188 150 142 130 118 121 131 143 166 185 178 181 191 216 218 197 190 165 122 89 64 25 10 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 28 87 189 268 314 318 330 320 301 287 257 219 212 222 215 198 185 182 182 169 154 152 163 182 197 197 203 198 186 168 145 123 104 83 64 58 56 55 51 48 45 44 43 44 47 52 57 60 62 63 64
239 225 204 175 142 110 80 54 34 21 14 12 15 14 11 9 9 8 8 12 21 55 99 120 149 174 178 181 191 188 166 143 137 141 157 184 205 223 236 250 258 229 202 204 182 170 164 157 196 211 196 219 213 203 214 224 241 201 169 178 180 147 102 67 42 22 14 7 3 1 1 0 0 0 0 0 0 0 0 0 0 1 4 18 55 123 254 330 374 411 435 452 467 461 438 416 389 377 353 334 317 306 298 285 271 258 252 265 284 290 292 289 277 254 225 198 172 146 112 93 84 73 63 59 56 52 47 42 39 42 47 53 59 63 65
193 168 146 123 100 79 60 45 33 22 15 19 24 14 12 13 9 6 12 36 72 114 139 151 173 191 194 197 200 183 163 153 155 169 192 221 241 268 289 292 274 243 257 249 219 211 227 240 259 257 234 247 258 283 282 258 255 217 196 200 200 178 129 69 47 29 21 15 8 3 1 1 0 0 0 0 0 0 1 1 2 5 11 33 104 183 279 351 402 448 484 521 550 539 536 540 533 516 475 456 445 436 421 402 392 384 372 371 388 399 398 382 363 348 325 299 260 215 177 151 133 107 83 80 80 75 57 43 39 34 36 43 51 57 61
119 106 94 83 72 61 51 41 31 15 11 10 8 6 9 10 7 9 26 64 108 138 179 192 192 203 209 200 185 168 158 147 157 179 220 257 305 330 317 308 298 273 302 285 284 318 336 304 247 213 233 273 302 326 309 281 266 251 231 211 195 165 65 43 38 31 22 15 9 5 7 10 1 1 1 1 0 1 2 3 5 10 19 49 140 243 327 393 436 471 505 531 549 564 584 602 606 605 577 560 560 557 546 530 500 495 491 482 488 497 490 457 423 438 435 416 368 301 244 214 193 158 120 110 113 122 93 69 52 41 35 37 42 48 55
78 87 93 92 84 73 57 36 24 12 18 17 14 10 7 11 27 49 62 95 127 155 175 187 193 202 203 194 189 184 200 215 211 227 270 307 350 371 340 330 385 311 328 383 433 457 444 412 386 373 354 362 349 348 317 289 265 241 216 191 167 162 64 38 28 19 12 7 5 5 6 6 0 0 0 0 1 1 2 4 10 20 45 110 211 305 379 452 497 516 536 550 568 593 619 623 633 647 648 644 650 660 650 638 613 598 587 581 583 591 589 556 516 520 514 509 474 400 335 312 300 251 182 149 140 141 136 123 98 72 53 44 42 43 47
93 132 162 161 146 126 91 49 18 20 29 23 10 6 11 25 59 120 149 148 170 179 195 209 218 225 231 231 240 259 276 288 294 310 343 387 400 373 356 351 456 404 441 501 549 570 547 499 475 458 443 385 331 311 287 262 238 212 185 158 133 91 33 16 10 6 4 3 3 4 3 1 0 0 0 0 1 1 4 8 16 33 76 147 252 350 427 495 541 561 582 609 623 646 688 701 707 714 718 716 728 753 747 759 744 720 703 697 699 704 706 685 674 671 654 644 610 537 472 452 438 398 328 248 196 165 148 143 141 130 103 75 60 45 41
138 159 164 149 152 157 129 84 36 31 37 33 20 14 23 52 104 142 177 201 217 233 253 263 264 268 275 287 304 353 379 396 408 417 416 388 343 337 390 421 514 542 497 462 454 448 425 397 382 359 315 304 270 242 225 209 186 157 125 94 74 33 7 1 0 1 2 1 1 1 1 0 1 1 1 1 1 4 9 16 26 53 103 185 299 390 453 503 537 563 591 636 666 698 744 775 786 794 808 802 807 818 816 827 837 829 820 818 819 824 835 825 824 826 827 828 805 742 655 565 532 530 507 420 322 235 169 141 163 185 162 122 93 62 43
109 78 53 45 78 119 133 113 69 52 57 60 47 34 40 73 134 184 223 238 259 292 311 308 309 320 327 360 359 399 473 544 524 520 515 445 403 440 426 413 396 353 306 268 248 242 243 268 292 286 257 232 206 179 157 139 120 84 47 20 12 3 0 0 0 1 2 1 1 1 1 1 3 4 3 1 3 8 15 24 35 81 147 238 332 398 445 484 519 560 584 614 647 687 729 770 811 855 901 919 926 927 924 913 916 920 921 916 908 904 919 939 955 948 957 987 998 949 885 751 680 657 642 591 495 368 250 185 192 224 221 173 128 94 67
33 39 38 40 53 77 112 135 109 94 104 123 111 83 77 92 136 182 216 248 281 320 334 339 364 394 417 441 420 389 410 467 483 490 482 437 417 385 335 281 225 173 134 113 128 170 201 229 239 223 197 162 131 108 89 73 64 31 7 1 0 0 0 0 0 1 2 3 3 3 3 3 5 6 5 4 6 13 20 30 47 98 177 263 331 379 427 476 523 566 584 599 631 677 725 773 829 892 960 1037 1102 1117 1111 1098 1089 1075 1063 1050 1041 977 958 969 1003 1035 1052 1047 1032 1094 1136 1058 931 839 790 739 644 525 398 299 277 313 321 260 184 128 91
7 15 20 24 34 50 71 99 118 123 153 195 210 194 169 149 138 185 221 266 308 353 368 373 400 410 401 400 419 299 233 229 227 215 212 221 215 195 169 124 92 69 55 64 104 162 197 186 161 133 97 75 59 46 37 29 23 7 0 0 0 0 0 1 1 1 2 4 4 4 4 5 5 5 5 6 10 17 25 38 63 114 187 261 314 341 389 443 500 538 552 568 626 700 734 750 788 857 930 1012 1117 1196 1268 1341 1356 1321 1300 1272 1245 1164 1114 1084 1083 1097 1085 1074 1130 1237 1249 1194 1107 993 911 864 786 683 565 468 414 427 433 382 284 186 125
1 3 6 10 16 23 28 37 50 63 95 138 194 257 286 285 230 277 310 334 370 350 295 274 282 267 225 240 323 246 157 106 83 80 89 91 143 127 120 66 37 27 34 61 91 115 120 100 76 49 27 17 13 11 8 6 4 0 0 0 0 0 0 0 1 2 3 4 5 5 6 6 6 6 7 10 17 22 30 45 72 117 163 199 234 260 290 332 380 419 451 473 507 572 620 640 680 727 778 810 856 939 1089 1293 1436 1503 1570 1565 1525 1451 1394 1362 1313 1221 1127 1163 1233 1236 1170 1082 1003 942 906 901 888 818 709 599 543 540 543 507 413 289 194
0 0 1 1 2 5 8 11 16 26 35 46 69 115 204 276 238 307 309 274 244 193 123 86 98 112 93 112 196 216 190 167 169 165 108 29 96 132 166 99 35 13 22 45 56 49 37 24 16 8 3 0 0 0 1 0 0 0 0 0 0 0 1 2 4 5 5 6 7 7 7 8 8 9 11 16 22 27 34 47 74 104 118 118 120 130 152 175 198 229 281 319 308 319 367 405 448 493 519 524 531 574 686 888 1123 1349 1530 1625 1682 1689 1653 1626 1548 1363 1231 1306 1385 1281 1094 974 912 855 820 828 860 858 802 743 705 688 672 628 561 440 322
1 1 0 0 0 0 3 6 14 20 21 21 21 14 24 48 66 61 26 18 26 30 26 17 35 59 58 61 88 117 130 128 116 95 58 6 20 52 86 62 24 12 17 17 16 12 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 6 8 8 9 10 10 10 11 12 13 16 20 24 27 35 46 57 63 56 54 53 51 60 72 82 97 132 181 190 173 177 196 218 240 258 272 274 262 271 395 611 810 1003 1170 1331 1475 1535 1507 1417 1286 1337 1508 1544 1330 1057 905 836 799 762 747 761 776 779 793 814 823 810 768 710 612 494
3 4 5 5 2 0 1 3 5 7 6 5 7 1 1 1 2 2 2 2 2 3 4 4 13 27 37 36 36 43 50 50 43 29 16 14 13 19 17 9 7 11 9 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 12 11 10 9 9 10 11 12 12 12 15 18 23 28 34 41 41 36 28 26 26 31 40 46 53 63 87 133 174 185 156 141 138 133 136 146 137 113 95 144 220 294 399 521 668 844 902 958 1011 1160 1378 1492 1397 1153 951 843 772 736 703 674 669 683 702 727 759 817 852 841 819 770 678
4 7 11 13 2 1 1 1 1 1 1 1 2 2 2 2 2 2 1 1 2 2 2 2 4 9 14 15 14 18 24 21 16 11 23 46 49 19 1 1 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 4 6 6 6 7 7 6 5 5 8 9 8 9 12 13 18 25 30 31 28 21 18 19 20 26 32 38 45 54 68 95 130 148 161 155 138 115 104 128 109 90 85 101 105 103 126 177 241 319 358 519 799 1085 1161 1126 1059 957 918 926 805 704 642 596 570 574 603 637 660 711 766 786 788 787 770
1 3 8 9 1 1 2 2 2 1 2 2 2 2 2 2 2 1 2 2 2 2 2 1 2 3 4 4 7 17 27 23 24 25 26 35 29 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 2 3 3 3 4 5 5 5 4 3 2 2 4 4 3 1 4 9 14 17 18 18 16 15 16 20 23 26 31 36 39 43 50 57 68 66 79 111 126 102 91 133 126 122 135 149 138 121 128 140 144 149 179 268 374 461 584 726 810 872 1041 1102 986 820 663 538 457 438 490 555 621 670 710 739 745 737 740
0 0 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 2 2 6 10 11 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 2 4 5 6 6 5 4 3 2 0 0 1 1 0 0 4 8 9 9 10 12 15 17 20 23 27 30 34 38 38 39 44 51 55 50 51 70 101 107 120 136 140 145 177 207 201 171 156 160 162 149 137 159 219 306 409 504 565 643 926 1139 1180 1065 869 723 648 585 588 633 679 713 756 794 802 778 747
0 0 0 0 0 1 1 1 1 1 2 2 2 1 2 2 1 1 2 2 2 1 1 1 1 1 0 0 1 3 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 1 1 1 2 2 1 1 0 0 0 0 0 0 1 3 5 6 7 9 14 17 19 21 24 26 29 32 36 36 37 47 68 86 86 72 76 106 148 186 183 180 176 189 222 233 204 155 165 177 168 164 189 218 227 225 258 298 388 653 992 1269 1376 1336 1346 1361 1368 1294 1142 1003 944 933 932 921 884 835
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