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 8 7 5 3 2 1 1 1 1 1 1 1 1 2 2 3 3 3 4 4 3 3 3 3 3 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 3 4 4 6 7 10 11 12 11 9 7 7 7 7 6 6 6 6 7 7 6 6 6 6 6 5 6 7 7 6 6 6 6 5 3 2 3 5 6 6 6 7 7 6 6 5 3 2 1 0 1 1 2 3 4 5 5 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 3 3 3 3 2 2 2 2 2 nan
nan 7 6 4 3 2 2 1 1 1 1 1 1 1 2 2 3 3 3 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 4 4 4 5 7 9 11 12 12 11 8 6 6 7 7 6 6 6 6 7 7 7 6 6 6 6 6 6 6 7 6 6 6 5 4 2 2 4 6 6 6 6 6 6 6 6 6 5 4 3 3 3 4 4 5 5 5 6 6 6 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 3 3 nan
nan 5 4 4 3 3 2 2 2 2 2 2 2 2 2 2 3 3 4 3 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 6 6 5 5 6 8 10 12 13 12 10 9 7 6 6 6 6 6 6 6 6 7 7 6 7 7 6 6 6 6 6 5 4 4 4 3 2 3 4 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 7 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 5 5 5 5 4 4 4 4 nan
nan 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 4 3 3 2 2 3 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 7 7 6 6 7 9 10 12 12 11 10 9 9 8 7 6 6 6 6 6 6 6 6 6 6 7 6 5 5 6 5 4 2 1 2 1 2 3 5 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 nan
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nan 8 8 8 8 7 7 8 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 7 8 8 9 10 10 10 9 9 9 8 7 7 8 9 10 10 10 9 8 6 6 5 5 5 6 6 6 6 6 4 1 1 1 3 5 7 8 8 6 4 3 2 2 2 4 6 9 10 11 11 9 8 6 5 5 4 4 4 4 4 4 3 4 4 4 5 6 6 5 5 5 nan
nan 7 7 7 8 8 8 9 10 11 10 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 8 8 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 7 7 6 7 9 10 10 10 9 8 7 6 5 5 6 6 7 7 7 6 5 4 2 2 3 5 8 9 7 4 2 1 1 2 2 4 7 9 10 10 9 8 6 5 4 4 4 4 4 4 4 4 4 5 6 6 7 8 8 7 7 7 nan
nan 7 7 8 8 8 8 9 11 11 10 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 6 5 5 6 7 8 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 9 10 10 10 10 11 10 9 9 9 8 8 7 6 7 8 9 10 10 9 8 7 6 5 5 6 7 8 8 7 6 6 5 4 3 4 6 8 8 5 3 0 0 1 2 3 5 7 8 9 9 8 7 5 4 3 3 3 3 3 4 4 5 6 6 7 8 9 9 9 10 10 10 nan
nan 7 7 8 8 8 8 9 11 10 9 9 8 8 8 8 8 8 8 8 8 9 9 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 7 6 5 5 6 7 9 10 10 9 8 8 8 8 8 8 9 9 8 8 8 8 9 10 11 11 11 11 11 11 10 9 8 8 8 8 8 8 9 10 10 10 9 8 7 6 5 5 6 8 9 8 7 6 6 6 6 5 6 7 7 6 4 1 -1 -1 1 2 3 4 6 8 8 8 7 5 4 2 2 2 2 3 3 4 5 6 7 7 8 9 10 11 11 11 11 11 nan
nan 7 7 7 7 7 8 10 11 11 10 9 9 8 8 8 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 11 10 9 8 7 6 5 6 8 9 10 10 9 9 9 9 9 9 9 9 9 8 7 7 7 9 10 11 12 12 11 11 11 10 8 8 7 8 8 9 9 10 11 11 10 9 8 7 6 5 5 7 9 9 8 7 6 7 7 6 7 7 7 7 6 4 2 -0 -1 0 1 1 3 4 6 7 6 5 4 2 1 1 1 2 3 4 5 6 7 7 9 10 11 12 12 12 12 11 11 nan
nan 7 6 6 7 8 9 11 11 11 10 9 9 9 8 7 7 8 8 7 6 6 6 6 7 7 8 8 9 8 8 8 10 11 12 13 12 10 8 7 7 6 7 8 10 10 10 10 9 9 10 10 10 10 9 8 7 7 7 7 8 9 10 12 12 12 11 10 9 8 7 7 7 8 9 10 11 11 10 9 9 8 7 6 6 6 8 10 10 8 7 7 7 7 7 7 8 7 7 6 6 4 2 1 -1 -2 -1 0 2 4 5 5 4 2 1 1 1 2 3 4 5 6 7 8 9 11 12 12 12 12 12 11 11 10 nan
nan 7 6 6 7 9 10 10 11 10 10 9 9 9 8 7 7 7 7 6 5 5 6 7 7 8 9 9 9 8 8 8 10 11 12 13 12 10 9 8 7 7 8 9 10 10 10 9 9 10 10 11 10 10 10 9 8 8 8 8 7 8 10 12 13 11 10 8 8 8 7 7 7 8 9 11 11 11 10 9 8 8 7 7 7 8 10 10 9 9 8 8 7 7 7 8 8 8 8 7 7 6 6 4 1 -2 -3 -2 -1 1 2 2 3 2 2 1 2 2 3 4 5 7 8 9 11 12 12 13 13 13 12 11 10 9 nan
nan 7 7 7 8 9 9 9 10 10 10 9 8 8 8 7 7 7 6 6 5 6 7 8 8 9 10 10 9 8 7 8 9 10 11 11 10 10 9 8 7 8 8 9 10 10 9 9 9 10 11 11 11 11 11 11 11 10 10 9 8 9 11 12 11 10 8 7 7 8 8 8 9 10 11 12 12 11 10 9 8 8 8 8 9 10 11 10 9 9 9 8 8 7 8 8 9 9 8 8 8 9 8 7 4 2 -1 -3 -4 -3 -1 0 2 2 2 2 2 2 3 5 6 8 9 11 12 13 14 14 14 13 12 11 10 9 nan
nan 8 7 8 9 9 8 8 9 10 9 8 8 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 9 7 7 7 8 9 10 9 8 8 8 8 9 10 9 9 9 8 9 9 10 11 11 11 11 11 11 11 10 10 10 10 10 11 10 8 7 7 7 7 7 8 9 10 11 12 12 11 10 9 8 7 7 8 10 11 12 11 10 9 9 9 8 8 8 8 9 10 10 9 10 10 10 10 9 8 6 3 -1 -4 -5 -3 -1 2 3 2 1 1 2 3 5 7 9 10 12 14 15 16 16 14 13 12 10 9 8 nan
nan 9 8 8 8 8 7 8 9 10 9 8 7 7 7 7 8 8 9 9 9 9 9 9 10 11 11 11 11 10 9 8 8 8 9 9 8 7 7 7 8 9 10 9 8 8 8 8 9 10 11 11 11 11 10 10 10 9 9 9 9 10 10 7 5 5 6 7 7 7 8 9 10 11 12 11 10 9 7 6 6 7 8 9 11 11 11 11 10 9 9 9 8 9 9 10 10 10 10 10 10 10 9 9 8 8 6 3 -0 -2 -2 0 4 5 3 1 -1 -1 2 6 8 10 12 14 16 17 17 16 14 11 9 8 7 7 nan
nan 9 9 9 8 8 7 8 9 10 9 8 7 7 7 8 8 9 9 10 10 9 9 9 10 10 11 12 12 11 10 9 9 9 9 9 8 7 7 7 7 9 10 9 8 8 8 8 9 10 11 10 10 9 9 9 9 10 10 9 9 8 6 4 4 4 6 7 7 8 8 9 10 11 11 11 9 7 5 5 6 7 8 9 10 11 11 10 10 9 9 9 9 9 10 10 10 9 10 10 9 9 8 8 8 7 7 6 5 3 2 3 6 7 4 -2 -6 -4 2 7 9 11 13 15 16 17 16 14 12 9 8 7 7 8 nan
nan 10 9 9 8 8 7 8 9 10 10 9 8 7 7 7 8 9 9 9 9 9 8 8 8 9 10 11 11 10 10 10 10 10 10 9 9 8 7 7 7 8 9 9 9 8 9 9 10 10 10 9 8 8 8 9 10 10 10 10 8 5 2 2 3 5 6 7 8 8 9 10 10 11 11 9 8 6 5 5 6 7 8 9 10 10 10 9 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 7 6 5 5 6 6 2 -6 -10 -6 3 7 10 12 14 15 15 15 14 12 10 9 8 8 8 9 nan
nan 10 10 9 8 8 8 8 8 9 9 10 9 7 7 7 8 8 9 9 8 8 8 7 7 8 9 10 10 10 9 10 10 10 10 10 9 8 8 7 7 7 9 9 9 9 10 10 10 10 9 8 7 7 8 9 10 10 10 9 6 2 0 1 3 6 8 9 9 9 10 10 11 10 9 7 6 5 5 6 6 7 8 9 10 9 9 7 7 7 7 7 8 9 9 9 8 7 7 7 7 7 7 8 9 9 9 8 7 6 5 5 5 2 -3 -10 -10 -2 4 8 11 13 14 14 14 14 13 12 10 9 9 9 9 10 nan
nan 10 10 9 9 8 8 7 7 7 9 10 10 8 7 7 7 8 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 10 10 10 10 9 9 7 7 7 8 9 9 9 10 11 10 10 9 8 7 8 9 9 9 10 9 7 3 -0 0 2 5 9 10 9 9 9 9 10 10 9 7 5 4 5 6 6 6 7 8 10 10 9 8 7 6 6 6 7 8 8 9 8 7 7 7 7 7 7 7 9 10 10 10 8 7 5 5 5 3 -1 -8 -11 -5 3 8 10 12 13 14 14 14 14 12 11 10 9 9 9 9 10 nan
nan 10 9 9 9 9 8 8 7 7 9 10 10 9 8 7 7 7 6 6 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 10 10 10 9 8 7 7 7 8 8 8 9 10 11 10 10 9 8 9 9 9 9 8 7 5 2 0 2 5 9 12 12 10 9 9 9 10 10 8 5 4 4 5 6 7 7 8 10 10 10 9 8 7 6 6 7 8 8 8 8 8 7 7 6 6 7 7 8 9 10 10 10 8 7 5 5 4 2 -3 -8 -7 1 9 12 12 13 14 14 13 12 11 10 9 9 8 9 9 10 10 nan
nan 9 9 9 9 9 9 8 7 8 9 10 10 10 9 8 6 6 6 6 7 7 8 7 7 6 7 7 8 9 9 9 9 9 8 9 9 10 9 9 8 7 7 7 8 8 8 8 10 10 10 10 10 10 9 8 8 7 6 4 2 2 5 9 13 14 13 10 8 8 9 10 9 7 5 4 5 6 7 8 8 10 11 11 9 8 7 7 7 7 8 8 9 8 7 7 6 6 5 6 7 8 9 10 11 11 10 9 7 6 4 3 1 -1 -3 2 10 14 14 13 13 14 12 10 8 6 7 8 8 8 9 9 9 10 nan
nan 9 10 9 9 9 9 8 8 8 9 9 10 10 9 7 6 6 6 7 7 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 8 8 9 10 9 7 6 6 8 9 8 7 8 9 9 10 10 10 9 8 7 7 6 5 5 5 8 11 14 14 11 8 7 8 9 9 8 7 6 5 6 7 8 8 9 10 11 10 8 7 7 7 7 8 9 9 9 8 7 6 5 5 5 6 7 9 10 11 12 12 11 10 8 6 4 3 2 2 4 9 14 16 14 13 12 11 8 5 3 2 4 7 8 9 9 9 9 9 nan
nan 9 9 10 9 9 9 8 8 8 9 9 10 9 8 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 7 8 10 10 10 8 6 6 9 10 9 8 7 7 8 8 9 10 10 9 8 7 6 6 6 8 10 12 12 11 8 6 7 8 9 8 7 7 6 6 7 8 9 9 9 10 10 9 7 6 6 8 8 9 9 9 8 7 6 5 5 6 6 7 9 10 11 12 12 12 11 10 8 5 3 3 4 4 6 10 12 13 13 12 10 6 2 -1 -2 -0 3 7 8 9 9 9 10 10 nan
nan 8 9 9 9 9 8 8 8 9 9 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 8 10 10 10 9 8 7 9 10 10 10 9 8 8 7 7 8 8 8 7 6 6 6 7 8 10 10 9 7 5 5 7 9 8 7 6 6 6 7 8 9 10 10 10 10 9 8 6 6 7 8 9 10 10 9 7 6 5 5 5 7 8 9 10 11 12 12 11 11 10 9 7 5 3 3 4 5 7 9 10 12 14 12 8 2 -4 -7 -6 -1 3 7 9 9 10 11 12 12 nan
nan 8 8 9 9 9 8 8 8 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 8 7 7 8 8 9 10 10 10 9 9 9 9 10 10 9 8 7 7 7 7 7 7 6 6 6 7 7 8 8 7 6 5 7 9 10 8 6 7 7 8 8 10 10 11 11 10 10 9 7 7 7 8 9 9 9 9 8 6 5 5 5 6 8 9 10 11 11 11 11 10 9 8 8 7 6 4 3 5 6 8 10 11 12 12 9 4 -3 -11 -13 -7 -1 4 7 9 10 11 12 12 12 nan
nan 8 8 9 9 9 8 8 8 8 9 9 9 8 8 8 9 9 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 10 10 9 8 7 7 8 9 10 11 11 9 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 7 7 7 6 6 7 9 9 7 7 8 9 9 10 11 11 11 10 9 8 7 7 7 8 9 9 9 8 7 7 6 6 6 7 8 9 10 10 11 11 11 10 9 9 8 8 7 6 4 4 5 7 10 10 10 9 7 4 -1 -9 -15 -13 -5 1 6 9 10 10 11 11 11 10 nan
nan 8 8 8 9 9 8 8 8 8 9 9 9 9 8 8 8 8 7 8 9 10 10 9 9 10 10 10 10 10 9 9 9 10 10 9 8 7 7 7 8 9 10 10 10 8 7 6 6 7 8 9 9 9 8 7 7 7 7 6 5 5 5 6 7 7 7 7 8 8 7 8 9 10 10 10 11 10 10 8 7 7 7 7 8 9 10 10 9 8 7 7 6 7 8 8 8 9 10 10 11 11 10 10 9 9 8 8 7 6 5 5 6 8 11 10 8 6 4 1 -5 -13 -14 -8 -1 5 8 9 9 9 9 8 8 7 nan
nan 8 8 8 8 9 9 8 8 8 8 9 9 10 9 8 7 7 7 9 10 10 9 9 9 9 9 9 9 10 9 9 9 9 9 9 8 8 7 7 8 8 9 9 9 8 7 6 6 7 8 10 10 9 8 7 8 8 8 7 5 4 5 6 7 7 7 7 7 7 7 8 9 9 8 9 9 9 8 6 6 6 8 9 9 10 11 11 10 8 8 7 7 7 7 8 8 9 10 10 10 10 9 9 10 10 9 8 7 6 6 6 7 10 10 9 8 7 5 2 -6 -12 -10 -5 2 6 8 8 8 7 7 6 6 6 nan
nan 8 8 8 8 9 9 9 8 8 8 9 10 11 9 8 7 7 7 8 9 9 8 8 7 7 8 9 10 10 11 11 10 9 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 8 9 10 10 10 10 10 10 9 8 6 6 6 6 7 7 7 7 7 6 6 7 7 7 7 7 7 7 6 6 6 8 9 10 11 11 10 10 9 9 9 9 8 7 7 7 8 9 10 10 9 9 8 9 10 10 10 8 7 6 6 7 9 11 10 9 9 9 7 1 -8 -11 -9 -3 3 6 8 8 8 7 6 6 5 6 nan
nan 9 8 8 8 9 9 9 9 8 9 10 11 11 10 9 8 8 8 8 8 7 7 7 7 7 8 9 11 11 11 11 10 9 8 8 7 7 7 7 7 7 8 8 7 7 7 7 7 8 8 9 10 10 11 12 12 12 11 11 10 9 8 7 7 7 7 7 6 5 6 6 6 6 6 7 7 6 6 7 8 9 10 11 10 9 9 9 9 9 10 10 9 8 7 7 8 9 9 9 8 8 8 8 10 10 10 8 7 7 7 8 11 12 12 12 11 10 6 -1 -9 -12 -7 -0 5 8 9 8 8 7 6 5 5 5 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
328 338 370 405 420 367 274 210 203 187 162 123 82 61 48 34 28 23 21 21 22 19 17 15 13 13 14 15 17 17 18 19 21 25 31 42 62 87 111 134 157 175 192 215 224 237 235 212 178 138 94 53 37 20 12 8 2 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 7 31 49 3 2 6 22 41 61 77 131 302 601 930 1120 1163 962 620 249 87 53 41 37 33 31 31 30 27 28 34 41 49 52 51 61 89 137 196 267 384 520 632 679 717 738 716 665 609 575 531
352 362 380 400 410 331 247 188 182 177 153 119 90 72 58 44 36 35 33 33 32 29 26 23 20 19 19 20 21 20 20 23 29 38 45 55 71 92 112 141 167 206 245 283 296 312 318 301 267 222 169 117 87 47 26 14 8 9 7 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 2 9 6 0 0 3 20 46 76 103 125 161 257 434 557 577 431 237 101 55 41 34 31 28 27 30 30 32 31 33 41 49 50 48 46 46 57 71 111 186 302 389 443 536 608 578 542 537 516 474
379 390 385 384 379 308 234 181 159 143 123 106 91 76 67 55 50 48 48 46 42 39 37 35 33 31 30 29 29 29 29 34 44 56 64 69 76 88 103 148 169 229 277 315 350 381 404 406 373 319 265 199 148 104 62 34 29 33 24 5 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 1 2 0 0 0 2 13 36 71 111 143 153 159 173 198 172 139 89 52 41 36 32 30 29 33 35 34 35 36 39 42 46 49 46 42 39 43 48 61 93 164 230 266 306 307 291 345 435 425 390
381 380 365 355 334 277 214 171 144 127 117 105 90 86 82 73 70 68 67 64 59 57 56 54 52 50 48 47 47 49 51 55 63 72 77 76 79 87 99 138 176 235 294 344 383 422 473 515 501 453 389 315 239 174 118 81 75 73 45 11 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 6 1 0 0 0 1 5 20 52 96 139 156 155 147 133 120 104 77 50 38 34 35 41 45 48 49 47 44 41 38 38 41 41 33 24 26 35 52 71 88 119 154 169 184 191 189 227 298 287 271
361 338 317 302 282 240 193 158 136 125 116 103 98 107 104 97 95 97 101 105 103 99 97 90 82 76 73 73 74 79 78 80 86 90 94 98 99 110 111 128 165 212 271 321 367 425 497 567 585 556 505 437 364 275 194 147 129 103 56 15 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 8 34 74 124 161 159 151 135 119 105 85 65 49 38 41 52 61 65 65 64 60 53 46 43 45 34 26 24 28 56 86 106 119 126 128 121 130 142 147 163 179 181 186
334 294 255 229 219 201 172 145 128 117 108 103 113 130 136 144 154 155 160 174 173 164 159 139 122 112 106 103 101 109 102 99 105 109 108 113 120 127 127 140 154 175 221 280 343 407 475 548 589 591 573 529 471 368 272 218 178 120 58 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 14 5 0 0 0 0 0 2 20 55 106 171 168 156 145 127 108 91 73 65 48 52 58 67 71 69 66 63 59 54 55 52 41 42 54 57 77 114 137 152 145 140 130 121 123 125 115 97 85 86
304 248 200 178 164 156 145 133 120 108 106 116 133 147 160 183 200 223 243 263 273 253 212 173 146 139 136 131 126 128 123 121 124 125 124 123 120 124 133 135 131 149 188 240 295 346 408 463 522 549 557 541 479 411 355 299 223 129 49 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 5 0 0 0 0 0 0 0 9 40 77 151 182 184 183 173 155 132 99 86 65 63 65 66 64 60 54 48 43 45 58 63 69 71 60 59 85 117 147 172 157 135 108 104 115 113 93 70 49 39
294 228 183 155 134 123 121 119 113 108 112 123 138 154 182 243 302 324 328 335 328 297 246 194 165 164 156 152 148 146 145 145 142 139 137 133 131 127 138 142 149 161 174 192 223 270 335 364 442 471 493 512 507 482 447 385 270 126 37 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 12 11 3 0 0 0 0 0 0 1 19 43 70 128 191 231 241 233 205 216 160 109 83 73 68 62 54 48 38 26 23 29 43 61 79 85 75 60 59 96 116 140 137 127 115 105 105 113 109 98 81 64
333 253 197 155 129 117 112 110 111 115 120 126 140 161 191 249 309 341 345 331 308 282 250 207 196 197 181 168 162 162 161 157 152 148 149 119 130 135 134 134 144 157 166 171 185 212 256 280 328 370 416 459 494 531 539 475 319 143 44 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 18 16 2 0 0 0 0 1 6 18 40 62 82 115 173 243 275 299 287 285 237 154 107 93 82 69 56 46 30 23 28 28 29 46 71 85 84 74 37 58 68 72 78 99 117 111 101 108 118 121 123 113
419 317 238 182 144 124 118 119 122 127 133 139 151 173 193 228 276 306 304 287 270 250 230 212 204 199 191 177 164 160 161 160 155 139 140 134 135 132 128 129 136 147 153 159 175 197 204 213 239 280 331 406 536 672 675 584 383 201 72 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 10 4 0 0 0 0 4 15 28 47 73 101 124 138 164 213 257 315 313 284 279 221 150 124 107 90 76 58 29 24 44 39 27 35 54 70 59 38 29 30 33 36 44 74 114 118 106 105 110 117 139 156
512 429 331 248 190 159 147 145 146 149 155 163 177 199 218 237 259 278 277 257 235 213 197 189 181 173 166 157 149 145 144 150 151 136 138 127 120 121 120 122 130 140 145 153 173 190 190 192 197 223 265 350 529 740 792 675 467 262 99 19 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 1 4 18 36 54 79 114 165 216 229 227 206 231 288 322 334 319 261 197 163 136 118 105 88 50 48 52 41 27 28 33 46 38 30 30 35 35 32 37 48 66 72 80 87 96 109 134 157
524 527 472 371 286 236 210 197 189 187 195 212 232 246 259 271 277 274 258 234 213 195 181 170 158 148 140 134 133 132 128 130 132 133 134 134 133 130 125 121 124 134 142 156 166 174 180 185 184 183 208 313 530 762 793 686 508 303 123 27 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 2 8 19 36 57 83 120 165 218 303 356 351 294 260 279 323 356 339 272 229 204 171 153 137 117 86 70 68 60 45 46 54 68 65 55 45 62 72 55 46 38 40 40 44 56 74 95 116 134
434 504 524 467 388 328 290 266 248 240 242 253 265 276 279 274 263 246 226 210 197 183 170 164 152 140 130 124 123 124 126 129 126 128 127 122 123 127 129 132 136 133 143 158 165 169 175 179 176 167 183 290 524 738 658 619 489 311 146 44 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 15 25 37 57 83 116 166 231 284 366 452 495 458 372 325 330 334 310 263 245 232 213 198 175 151 126 98 79 86 91 93 97 93 88 82 80 95 112 94 70 45 57 48 52 58 68 87 99 90
345 406 456 463 431 382 342 322 302 284 276 275 277 275 265 249 231 215 206 201 197 190 179 171 157 143 132 123 117 115 119 125 130 137 136 143 144 138 136 136 137 142 150 159 173 181 183 188 192 189 198 265 456 694 606 546 433 291 158 62 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 23 32 50 79 117 162 218 298 373 426 497 573 586 514 425 366 324 289 250 267 263 263 258 220 177 157 135 118 129 138 145 139 116 104 102 98 100 108 107 108 88 82 78 79 80 78 84 89 70
363 403 441 472 475 428 361 350 339 313 291 274 262 251 242 233 225 219 215 211 205 196 183 170 157 146 138 131 127 122 118 118 125 131 133 136 140 142 142 140 140 145 150 156 172 183 184 185 185 180 177 186 303 512 532 468 369 259 159 77 18 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 14 20 28 40 65 104 153 213 276 354 441 495 544 602 633 612 548 459 374 390 348 330 327 332 335 296 217 201 180 166 166 170 190 195 179 158 135 119 114 103 102 114 106 96 89 86 81 79 79 84 90
493 560 592 587 577 535 409 372 353 322 288 263 249 242 237 232 229 228 220 212 204 192 181 170 159 151 143 131 131 138 135 143 141 139 140 137 130 130 136 140 140 139 140 141 148 152 152 149 144 135 121 120 187 331 395 380 296 193 124 78 40 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 16 23 32 52 86 131 190 262 341 412 491 559 613 653 666 642 609 571 491 472 435 422 427 428 423 390 305 277 260 255 243 228 235 246 235 206 167 142 137 123 110 104 102 107 113 104 83 76 75 78 88
671 727 658 540 553 623 510 424 360 313 275 254 245 243 239 233 228 222 213 204 195 186 177 170 165 164 160 140 131 136 136 141 142 143 145 145 143 143 140 138 132 123 117 115 116 114 112 114 111 103 97 99 139 220 303 292 196 120 89 86 57 19 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 13 19 26 42 69 109 159 222 301 380 461 532 592 654 706 705 659 635 601 542 514 498 494 503 520 523 484 425 405 396 422 414 374 341 329 312 264 227 202 184 165 139 117 102 98 119 119 102 91 85 85 91
619 597 433 315 422 589 608 538 383 307 268 251 246 243 237 228 218 208 200 196 193 188 184 178 171 165 161 148 138 134 136 141 137 131 136 143 140 142 142 142 138 117 114 124 121 110 115 114 109 101 93 104 128 179 223 204 134 72 38 25 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 16 23 33 53 83 125 181 244 317 404 492 560 604 654 713 705 670 638 584 531 504 503 518 541 564 581 570 528 568 599 624 628 594 539 501 479 434 367 318 275 223 177 156 146 126 126 130 129 123 115 105 98
471 469 414 380 411 492 585 639 445 323 275 262 257 250 240 228 216 207 205 206 204 200 197 189 175 161 152 143 138 136 133 132 134 138 142 144 140 151 182 201 215 202 194 191 179 166 169 153 136 126 118 118 126 151 175 168 113 35 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 10 17 25 39 62 93 134 188 246 308 383 466 532 563 591 647 643 635 609 558 504 480 484 495 515 537 576 637 648 712 771 812 842 839 805 760 711 657 567 480 394 315 252 227 226 202 172 151 150 156 156 149 136
373 391 387 379 379 395 450 558 591 468 362 307 281 269 259 251 245 237 235 234 226 215 201 187 172 158 147 139 135 139 136 141 148 148 145 146 172 236 272 270 276 270 242 210 186 172 163 149 132 120 114 113 120 129 135 112 45 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 16 28 43 69 97 138 184 231 279 341 407 451 483 519 542 551 566 539 499 470 459 460 454 458 467 518 607 686 769 844 918 991 1035 1024 973 924 870 785 662 538 457 386 343 323 303 279 230 204 203 208 211 198
304 315 335 353 356 334 361 402 572 611 550 439 349 322 317 314 309 297 284 275 261 240 216 191 169 154 144 138 136 144 153 166 167 153 152 193 266 299 274 240 209 180 152 127 110 105 106 95 90 84 79 85 94 97 90 48 6 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 10 34 57 77 100 134 171 204 243 292 336 366 400 431 450 461 476 466 446 428 409 399 397 406 412 461 540 621 695 773 865 979 1072 1092 1069 1037 980 913 818 688 621 565 520 488 465 441 391 332 296 286 288 282
300 320 336 361 350 306 302 310 399 541 655 607 462 421 421 427 412 384 363 343 318 283 241 203 175 160 151 148 154 166 172 169 163 162 182 234 272 220 181 132 89 63 46 34 30 32 44 48 47 47 48 51 57 59 46 7 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 5 33 62 82 104 129 154 178 209 251 288 314 326 338 356 373 383 380 367 353 339 328 333 356 386 432 491 551 615 686 725 833 941 995 1021 1037 1030 993 933 865 809 770 739 705 669 633 588 530 464 429 417 389
301 331 337 365 344 284 238 252 312 436 633 707 583 525 524 569 564 533 494 464 438 394 330 269 213 192 181 176 183 194 198 190 176 174 196 238 224 177 110 52 20 7 2 1 2 3 7 9 12 13 15 17 22 27 14 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 48 73 92 111 132 153 174 198 228 251 258 261 270 292 319 336 338 331 319 311 303 310 335 370 411 459 513 567 597 641 723 816 894 951 980 1005 1042 1046 1031 991 963 941 913 877 833 791 755 690 647 614 575
265 242 260 323 318 247 196 212 281 448 649 719 658 682 703 741 760 771 753 703 641 579 503 410 306 267 235 214 213 220 227 227 217 219 215 201 159 102 50 17 2 0 0 0 0 0 0 0 0 0 1 1 2 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 0 0 0 1 7 31 62 84 106 127 148 167 183 202 224 229 231 243 264 296 330 355 365 359 356 356 354 352 363 385 416 460 513 576 604 623 678 749 823 887 942 998 1062 1084 1132 1123 1102 1088 1074 1050 1017 981 957 909 863 826 793
244 205 219 271 261 199 165 185 321 482 620 722 729 798 903 932 959 1027 1057 1003 879 728 613 511 416 345 284 266 260 242 223 216 204 196 181 149 98 40 9 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 1 9 37 60 79 104 130 152 170 186 198 217 234 239 246 265 298 341 385 414 444 459 474 483 471 456 455 466 487 523 566 610 637 649 679 726 782 850 927 995 1082 1122 1168 1205 1229 1235 1213 1171 1140 1122 1108 1088 1059 1023 983
196 181 169 174 159 130 118 155 276 405 526 652 711 771 853 892 898 951 1017 1035 927 696 535 442 381 314 261 246 235 207 173 152 136 134 120 74 35 10 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 5 33 56 82 108 134 160 181 200 218 222 245 261 268 278 303 344 396 447 479 530 584 625 631 607 588 593 604 620 644 667 682 688 699 723 758 796 844 925 980 1054 1132 1212 1285 1340 1360 1339 1305 1251 1215 1203 1204 1203 1189 1170
101 94 73 56 49 48 52 87 153 237 332 421 472 511 470 542 522 502 516 530 503 414 319 246 220 198 169 145 121 95 78 67 55 42 36 10 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 7 41 71 100 129 162 195 223 245 266 272 288 305 313 321 342 383 433 485 520 563 599 633 674 701 705 721 738 764 790 798 793 789 795 810 833 853 873 939 1003 1091 1196 1291 1352 1413 1463 1471 1453 1411 1349 1292 1283 1310 1340 1354
22 21 12 4 2 6 10 23 44 72 109 145 170 172 116 130 141 134 122 123 137 139 125 100 99 91 69 48 30 15 12 12 10 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 0 0 0 0 2 11 39 73 110 152 201 248 283 309 329 338 350 369 379 379 390 421 462 486 504 534 572 625 689 739 770 795 827 858 888 901 906 917 930 933 945 957 978 1030 1094 1173 1270 1361 1406 1463 1513 1557 1607 1639 1568 1443 1400 1421 1465 1506
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