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 5 4 4 3 3 3 4 4 4 4 5 7 10 13 15 12 7 3 2 1 1 1 1 2 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 6 7 10 14 16 13 9 8 7 7 7 6 6 6 6 6 6 6 6 6 7 7 5 1 -3 -2 2 5 7 8 8 7 7 7 8 8 8 7 7 6 6 7 7 7 7 6 6 5 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 3 3 3 4 4 4 3 nan
nan 6 5 4 4 4 4 4 4 4 4 4 6 10 16 19 15 9 5 3 1 0 1 2 3 4 4 4 4 4 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 6 7 10 13 15 14 11 9 8 7 7 7 7 7 7 7 7 7 7 6 6 7 7 4 1 -1 -1 2 5 7 8 8 7 7 7 7 7 8 7 7 6 7 7 7 7 7 6 6 5 5 4 4 4 4 4 4 4 5 5 5 5 4 4 4 3 3 2 2 2 2 2 3 3 4 4 4 3 nan
nan 6 5 5 5 4 4 4 4 4 4 4 5 9 15 18 16 11 7 4 2 1 2 3 4 5 5 5 5 4 4 4 4 3 3 3 4 4 4 5 5 4 4 5 5 4 4 4 4 4 4 4 4 4 4 5 5 6 8 12 16 17 13 10 9 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 3 0 -2 -2 1 5 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 4 4 3 3 4 4 5 5 5 6 6 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 nan
nan 5 5 5 4 4 5 5 4 4 4 3 3 6 10 12 11 9 6 4 3 3 3 4 5 6 6 6 6 5 5 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 9 13 16 16 13 10 9 8 7 7 7 7 7 7 7 7 7 6 6 6 6 5 2 -2 -4 -2 2 5 6 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 5 4 3 3 3 4 4 5 5 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 4 nan
nan 4 4 4 4 5 5 5 5 4 4 3 2 2 4 5 5 5 4 3 3 3 4 5 5 6 7 6 6 5 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 7 9 12 13 12 11 11 9 8 7 6 6 6 6 6 6 6 6 6 5 5 6 4 1 -3 -3 -1 2 5 6 7 8 9 9 8 8 8 7 7 7 6 6 7 7 7 7 8 8 7 6 6 5 4 4 4 4 4 5 5 5 6 6 6 6 6 6 5 5 5 5 4 4 5 5 5 5 5 nan
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nan 7 8 8 8 8 8 8 10 10 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 6 6 6 7 7 7 7 7 7 8 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 7 6 5 5 5 5 6 8 9 9 8 8 7 7 8 7 7 7 7 7 7 6 5 3 4 6 7 8 10 12 12 9 6 3 3 3 3 4 5 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 nan
nan 7 7 8 8 8 8 9 10 11 10 8 8 8 7 7 7 7 7 7 8 8 9 9 8 8 8 9 9 8 8 8 8 8 7 7 6 6 5 6 6 7 7 7 7 8 9 9 9 8 8 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 9 9 7 6 5 5 5 5 5 7 8 9 9 8 8 8 7 8 7 7 7 7 6 6 7 7 6 6 6 7 10 14 15 12 8 4 2 1 2 3 4 5 5 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 nan
nan 7 7 8 8 9 9 10 11 10 9 8 8 8 8 8 8 7 7 7 8 8 9 9 9 8 8 9 9 8 8 8 8 8 7 7 6 5 5 5 6 6 7 7 8 9 10 9 9 8 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 9 8 6 5 4 5 5 5 6 8 8 8 8 9 8 8 8 7 7 7 7 6 6 8 8 7 7 7 8 9 11 15 15 11 6 2 -1 -1 2 3 4 5 6 7 7 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 7 6 6 6 6 6 6 nan
nan 7 7 8 8 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 9 8 8 7 6 6 5 5 5 6 7 8 9 10 10 10 9 8 7 7 7 8 9 10 10 9 9 8 7 7 7 8 8 9 9 9 7 5 4 4 4 5 6 8 8 8 7 8 9 9 8 8 7 7 7 7 6 7 9 8 7 8 8 8 9 11 12 11 8 4 -1 -3 -1 2 4 4 5 7 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 nan
nan 7 7 7 7 8 9 10 10 10 9 8 8 7 8 8 8 8 8 8 8 7 8 8 9 8 8 8 9 8 8 8 9 10 10 9 8 7 6 6 6 6 7 9 10 11 11 10 8 7 7 8 9 10 10 10 9 8 8 7 7 7 7 8 8 9 9 8 7 5 4 4 5 6 7 8 8 8 8 9 9 9 8 7 7 7 7 6 7 8 9 8 8 8 9 8 8 9 9 9 7 3 -1 -2 1 3 4 5 6 7 8 9 9 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 nan
nan 6 6 6 7 8 9 11 10 9 9 8 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 9 9 9 8 9 10 11 12 12 10 8 7 6 6 7 8 10 11 11 10 9 8 8 9 10 11 11 10 9 8 7 6 6 6 6 7 8 9 9 9 7 5 3 3 4 5 7 8 9 8 8 8 9 9 9 8 7 7 7 6 6 8 9 9 8 8 9 9 8 8 8 8 7 6 4 3 3 4 4 5 6 6 7 8 9 10 10 11 11 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 7 6 7 nan
nan 6 6 7 7 8 9 10 10 9 9 8 7 7 7 7 7 7 7 6 7 7 7 7 8 8 9 9 8 8 9 9 10 11 12 12 10 8 6 6 7 8 9 10 11 11 10 8 8 8 10 12 12 12 11 10 8 7 6 6 6 6 7 8 9 9 7 5 3 2 3 5 7 8 9 9 9 8 8 8 8 8 8 8 8 7 6 7 9 9 9 8 9 9 9 8 8 7 6 6 6 6 6 7 6 5 5 6 7 7 8 9 10 10 11 11 10 9 9 8 8 7 7 7 7 7 8 7 7 7 7 7 7 7 nan
nan 7 7 7 8 8 9 10 10 9 8 8 7 6 6 6 6 6 6 6 6 7 7 7 7 8 9 9 8 7 8 8 9 10 10 10 9 7 6 6 7 9 10 10 10 10 9 8 8 10 12 13 13 13 12 11 9 8 7 7 7 7 8 9 9 8 6 3 2 3 5 7 9 9 9 9 8 8 7 8 8 8 8 8 8 8 7 8 9 9 9 9 9 9 8 8 7 6 6 6 6 7 8 8 8 7 7 7 7 7 8 9 10 11 11 11 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 7 8 8 8 8 9 10 9 9 8 7 6 6 6 6 6 7 7 7 7 7 7 8 8 9 10 8 7 7 8 8 9 9 9 8 7 6 7 8 10 10 10 9 9 8 8 9 11 12 13 13 13 12 11 9 8 8 9 9 9 9 8 8 6 4 2 2 4 7 9 10 9 9 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 7 6 6 5 6 6 7 8 9 8 8 9 9 8 7 7 8 10 12 13 13 12 10 7 6 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 nan
nan 8 8 8 8 7 7 8 9 9 9 8 7 7 6 6 6 6 7 8 8 8 8 8 8 8 9 10 9 8 8 8 8 9 9 8 7 7 7 7 9 10 10 9 8 8 8 8 9 11 12 13 13 13 12 10 8 8 9 11 11 11 9 6 5 4 3 3 5 7 9 10 10 9 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 6 6 5 6 7 8 8 9 8 8 8 9 9 8 8 8 9 12 15 17 15 12 8 4 3 5 6 7 8 8 8 8 8 8 9 9 9 9 10 10 nan
nan 8 8 8 8 7 7 8 9 9 9 9 8 7 6 6 6 7 8 8 8 8 8 8 8 9 10 10 9 9 9 9 9 9 9 8 7 7 7 7 8 9 9 8 8 7 8 9 10 11 12 12 12 11 10 9 8 10 12 13 13 10 6 3 3 3 3 5 7 9 10 10 9 9 8 7 7 7 8 9 9 8 8 8 8 8 9 9 8 8 8 8 7 7 6 6 6 8 8 8 9 8 8 8 8 8 8 8 8 9 10 13 15 16 13 8 1 -2 1 5 6 8 8 8 8 8 9 9 9 9 10 10 10 10 nan
nan 9 8 8 8 7 7 8 8 9 9 9 8 7 7 6 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 8 7 6 6 7 8 8 8 7 7 8 8 9 10 11 11 11 10 9 8 8 10 12 14 15 13 7 1 -0 0 2 5 7 9 10 10 10 9 8 7 6 7 8 10 11 10 9 8 7 7 8 8 8 7 8 8 8 7 7 7 7 8 9 8 8 8 8 8 8 8 7 7 7 8 9 9 10 11 10 6 -2 -9 -7 0 5 7 8 8 8 8 9 9 9 10 10 10 10 10 10 nan
nan 9 9 8 8 8 7 8 8 8 9 9 9 8 7 7 7 7 7 7 7 8 7 7 7 7 8 8 8 8 9 9 10 10 10 9 7 7 7 8 9 8 7 7 7 8 9 10 11 11 10 9 8 8 8 9 11 13 15 14 10 3 -2 -3 -0 3 7 10 11 10 9 8 7 7 6 7 8 9 10 10 10 9 7 7 7 7 7 7 7 8 8 8 8 7 7 8 9 8 8 8 8 8 8 8 7 7 6 7 7 8 8 8 8 5 -1 -10 -12 -5 2 7 9 9 9 8 9 9 9 10 10 10 10 10 10 10 nan
nan 9 8 8 8 8 8 7 7 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 9 8 8 8 9 9 8 8 7 7 8 9 11 11 11 9 8 8 8 8 9 10 12 12 11 5 -1 -3 -2 2 7 10 12 11 9 8 7 7 7 7 8 8 9 10 10 10 9 8 7 7 7 7 7 7 8 8 8 8 7 8 9 9 8 8 8 8 8 8 8 7 7 6 6 7 8 8 8 7 2 -5 -10 -7 2 8 10 11 10 9 9 9 9 10 10 10 10 10 10 10 10 nan
nan 9 9 8 8 8 8 7 7 8 9 9 9 8 8 7 7 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 9 10 10 9 8 7 7 7 8 9 10 10 10 9 9 9 9 9 9 9 9 6 1 -2 -1 2 7 11 13 13 10 7 6 6 7 7 8 9 9 9 9 9 9 9 8 8 7 6 6 7 7 8 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 7 6 7 8 8 8 8 5 0 -5 -5 3 11 15 14 12 10 10 9 9 9 9 9 10 10 10 10 10 10 nan
nan 9 9 9 8 8 8 7 7 8 8 9 9 9 8 7 6 6 7 7 7 8 8 8 7 7 8 8 8 8 8 8 7 8 8 8 8 9 10 11 11 10 8 7 7 7 6 7 9 10 10 10 10 9 9 8 8 7 6 3 1 -0 2 6 10 13 14 11 8 6 7 8 8 8 8 8 8 8 8 9 9 9 8 7 7 6 7 7 8 8 8 9 9 10 10 9 9 9 8 8 8 8 8 8 8 7 7 8 8 7 8 7 5 2 1 6 14 20 19 16 13 11 10 9 9 8 8 9 9 9 10 10 10 10 nan
nan 9 9 8 8 8 7 8 8 8 9 9 10 9 8 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 7 7 6 7 7 7 8 9 10 11 10 9 8 8 8 7 6 6 7 9 10 10 10 9 8 8 7 6 4 3 2 3 6 9 12 13 11 8 6 7 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 9 15 20 21 18 15 13 11 9 7 6 7 8 9 9 10 10 10 11 11 nan
nan 8 8 8 8 8 8 8 9 9 9 9 10 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 8 7 6 6 6 7 7 8 9 10 10 10 9 8 8 9 9 7 6 6 7 8 8 9 9 8 7 6 5 4 3 4 6 9 11 12 11 8 6 6 8 9 10 9 9 8 7 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 9 9 11 14 15 14 13 11 11 9 6 4 3 6 8 9 10 10 10 10 11 11 nan
nan 8 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 7 7 7 7 7 8 8 7 7 8 8 8 8 8 8 8 7 6 6 7 9 9 9 9 9 8 9 10 10 9 8 7 6 5 6 7 7 8 7 6 5 4 4 5 7 10 11 10 8 5 6 7 9 10 9 9 8 8 7 8 9 9 8 7 8 8 8 7 7 8 9 9 9 9 9 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 7 9 9 9 9 9 9 9 8 7 5 2 -1 2 5 8 9 10 10 10 10 10 10 nan
nan 7 8 8 9 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 8 8 8 8 9 10 11 11 11 10 7 5 4 5 7 8 7 6 6 5 5 5 6 8 10 9 8 6 5 7 9 11 10 9 8 8 8 8 8 9 9 8 8 8 8 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 6 7 8 9 9 8 7 6 4 3 1 -1 -5 -5 1 5 8 9 10 10 10 9 9 9 nan
nan 7 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 7 8 9 9 8 6 6 6 7 8 8 9 10 11 11 11 9 7 6 7 8 9 9 8 7 7 7 7 7 7 8 8 8 7 7 7 8 10 10 9 8 8 8 8 8 9 9 8 8 7 8 7 7 6 7 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 6 8 8 9 9 7 4 1 -2 -4 -5 -8 -11 -6 1 6 9 9 9 9 9 9 8 8 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 6 6 7 8 8 8 8 9 10 10 10 9 8 7 7 7 8 8 8 7 6 7 7 7 8 9 10 10 11 10 9 8 8 9 10 10 10 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 8 8 8 8 8 8 9 9 9 8 7 7 7 7 6 7 7 8 9 8 8 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 8 6 3 1 -2 -3 -4 -7 -5 -0 4 7 8 9 9 8 8 8 8 8 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 6 7 8 8 8 7 7 8 9 10 9 9 8 7 8 8 7 7 7 6 6 7 7 8 8 8 9 9 9 9 9 8 8 9 10 10 10 9 8 9 9 9 8 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 9 10 9 8 7 6 7 7 8 8 9 9 10 9 8 7 7 7 7 8 8 8 8 8 8 7 7 7 8 9 9 9 8 7 7 8 9 9 9 8 8 7 7 7 6 4 2 3 4 5 6 7 8 8 8 7 7 8 8 nan
nan 8 7 7 8 8 8 8 8 8 8 9 10 10 9 7 7 6 7 8 8 7 6 6 7 8 9 9 9 9 9 9 9 8 7 7 6 6 6 7 8 8 8 8 8 8 8 8 7 8 9 10 10 10 10 10 10 10 10 9 8 8 8 7 7 7 7 7 6 5 5 7 8 8 9 9 9 8 7 7 7 8 8 9 9 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 10 9 8 8 8 9 9 10 10 9 10 11 12 12 12 8 4 2 2 3 5 7 7 7 7 7 7 8 8 nan
nan 8 7 7 7 8 8 8 8 8 9 10 11 10 9 8 7 7 8 8 8 7 7 6 7 7 8 9 9 10 11 10 10 9 8 8 7 6 6 6 7 8 8 8 8 8 7 7 7 7 8 9 9 10 10 11 11 11 11 11 11 10 9 7 7 6 7 6 5 5 5 7 8 8 9 9 8 8 7 7 8 9 9 9 9 9 9 8 8 8 8 9 9 8 8 7 7 7 8 8 8 8 9 9 10 9 9 9 9 9 9 8 9 9 9 9 10 11 11 8 3 -1 -3 -1 3 5 6 6 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
42 44 44 34 27 25 15 8 3 3 9 19 30 45 71 100 104 66 45 25 19 16 13 12 12 13 13 13 11 10 9 7 5 5 7 8 7 7 7 6 6 6 5 6 7 9 13 15 16 17 20 23 25 26 27 28 28 29 30 31 34 38 40 39 35 27 22 17 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 4 7 2 1 4 7 11 22 36 40 36 27 22 22 26 31 38 46 52 55 55 53 48 42 38 34 31 28 27 27 31 36 45 68 105 145 174 189 194 192 171 154 148 141 128 105 78 59 53 59 75 100
48 48 39 24 21 15 5 2 2 1 4 10 23 50 104 175 241 122 68 39 26 22 19 17 16 15 16 16 16 16 15 14 12 13 13 13 12 12 13 12 11 10 10 11 11 12 16 19 20 22 24 26 27 26 27 28 28 27 27 27 28 29 26 25 21 23 22 18 12 6 2 1 0 0 0 0 0 0 0 0 0 0 2 6 5 0 0 1 1 7 16 30 37 38 34 28 22 25 31 38 41 47 56 67 72 65 53 47 42 39 35 31 29 30 31 31 38 51 63 76 114 149 154 151 144 141 136 125 106 84 68 59 59 72 104
77 63 42 24 17 9 4 2 1 1 2 8 26 71 162 301 446 263 125 62 40 33 29 26 24 21 20 20 21 22 22 22 21 22 21 19 18 18 17 18 16 16 15 15 14 15 19 22 23 24 24 23 23 24 27 30 31 30 29 30 33 28 20 17 17 19 19 17 14 10 6 2 1 0 0 0 0 0 0 0 0 0 2 7 8 0 0 0 0 3 10 20 28 33 34 31 27 25 26 31 34 38 49 68 84 86 79 68 57 48 44 39 35 31 27 25 27 29 32 40 55 87 104 113 112 107 103 98 93 84 73 65 61 71 90
105 80 51 26 13 6 2 1 1 1 2 7 31 96 195 439 621 422 208 104 69 56 48 41 35 31 29 27 31 32 34 33 30 29 31 30 30 28 25 24 24 22 21 18 16 18 22 25 24 23 22 22 23 25 27 30 31 32 32 34 39 34 24 16 13 14 15 15 14 12 7 3 1 0 0 0 0 0 0 0 0 0 1 4 6 0 1 1 1 3 8 13 20 27 28 29 33 28 23 22 23 29 41 61 85 104 109 99 80 62 52 46 41 36 31 28 27 27 27 32 42 54 61 73 77 69 64 67 77 80 73 66 60 59 63
92 72 50 31 15 6 1 2 3 2 4 7 27 92 159 335 444 356 222 140 102 77 62 54 42 35 34 33 37 41 46 50 55 57 55 52 48 45 40 36 36 32 30 25 23 26 28 27 26 25 23 23 26 28 28 28 30 31 32 34 34 29 25 20 14 12 11 11 11 11 7 3 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 2 3 4 8 11 15 22 22 24 30 30 27 25 25 29 38 52 72 99 121 122 108 83 61 49 45 42 39 36 33 33 31 29 31 43 51 54 54 49 48 51 60 66 67 64 59 57 56
61 56 46 36 23 9 2 6 10 9 11 18 32 61 96 160 203 190 153 128 95 64 60 53 39 33 31 29 33 43 55 69 81 84 82 71 59 58 60 61 60 50 49 48 46 44 36 31 29 28 27 27 28 28 27 26 27 28 30 30 26 24 21 19 16 13 12 11 9 8 6 3 0 0 0 0 0 0 0 0 0 0 1 3 2 1 3 5 6 6 8 10 13 19 20 22 26 28 31 33 34 37 41 48 65 89 117 129 121 95 66 50 47 45 42 41 41 41 39 35 35 42 46 45 44 44 44 48 50 58 63 63 62 60 48
47 48 46 40 30 16 11 17 25 31 43 62 65 50 50 56 71 76 73 69 61 50 42 33 25 22 18 15 20 31 44 56 64 68 71 65 59 60 61 62 67 64 63 68 70 65 60 48 43 32 31 31 30 29 27 26 25 24 25 28 24 22 21 20 19 16 13 10 8 6 5 3 0 0 0 0 0 0 0 0 1 1 2 4 5 7 6 6 7 7 8 10 13 15 15 19 20 24 30 35 38 40 44 49 59 83 100 107 103 87 65 49 43 41 39 40 40 40 40 39 40 41 41 41 39 41 41 45 50 55 58 60 64 64 58
42 40 42 40 35 27 25 30 40 55 78 102 104 74 42 27 23 25 28 26 18 10 8 9 11 12 5 4 7 14 23 31 37 45 51 52 50 49 48 47 51 59 64 67 70 74 87 71 51 36 32 31 30 29 27 24 21 21 27 44 39 28 23 21 19 15 12 10 8 5 3 1 0 0 0 0 0 0 0 1 0 1 3 4 5 6 7 7 7 7 8 10 13 16 15 16 19 22 28 34 38 40 43 47 52 59 67 71 70 64 52 45 41 38 36 36 34 34 36 36 35 35 36 38 35 35 36 41 46 49 52 55 60 60 54
33 31 34 34 32 27 23 27 40 59 82 81 84 77 52 35 28 26 25 22 17 9 4 3 6 12 8 6 7 10 14 18 24 26 30 34 38 41 43 42 44 48 51 53 52 52 59 59 42 33 30 28 28 28 25 22 22 25 41 70 68 41 25 23 20 16 13 9 6 3 1 0 0 0 0 0 0 0 0 0 0 1 3 3 4 6 7 8 8 8 8 9 12 16 16 16 18 22 25 29 35 39 42 46 49 52 53 54 53 49 45 41 39 38 37 37 35 33 33 34 39 36 35 36 34 34 37 38 38 44 48 49 50 50 48
23 21 20 20 19 15 12 14 23 37 49 37 38 45 46 48 52 52 45 34 21 16 11 4 5 6 7 11 15 19 22 26 28 18 22 28 31 33 35 35 34 34 35 35 34 28 28 35 34 33 38 35 27 35 34 39 44 47 60 81 78 49 27 25 20 14 10 5 2 1 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 5 7 8 10 11 9 9 12 17 18 16 17 22 24 25 31 38 43 46 48 49 49 48 46 43 41 39 37 37 37 37 37 37 37 38 38 36 37 36 36 36 41 46 47 49 49 48 46 46 45
6 6 9 10 8 5 2 2 6 10 14 14 19 28 38 50 62 68 64 47 22 15 4 3 3 4 10 18 25 27 26 25 29 24 34 38 31 26 25 24 24 24 23 22 23 20 20 24 29 45 62 54 47 86 84 95 96 93 81 85 81 52 25 21 16 10 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 2 4 7 8 12 13 12 13 15 17 18 18 19 22 24 25 28 32 36 41 45 46 47 46 42 38 36 33 32 33 34 35 36 38 39 42 43 42 40 40 40 42 46 49 50 51 52 52 50 48 47
0 0 1 2 2 1 0 0 0 0 2 6 13 25 39 53 66 70 61 44 21 8 1 1 1 5 13 22 30 34 31 29 34 40 47 47 39 30 24 22 20 18 19 18 18 19 24 27 30 53 82 97 123 140 143 141 131 133 101 83 77 53 26 15 11 7 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 5 9 11 14 17 18 18 20 22 23 22 22 23 23 25 26 28 32 37 42 46 47 46 43 41 39 34 30 28 28 30 32 33 36 39 41 41 41 43 46 48 49 51 51 51 53 55 55 53 50
0 0 0 0 0 0 0 0 0 0 0 2 8 23 38 49 52 46 34 23 12 2 1 1 4 9 14 21 30 36 33 34 42 55 55 62 51 40 38 35 31 30 33 32 29 41 47 46 50 64 88 119 114 100 112 128 125 128 103 78 68 53 30 12 9 6 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 6 12 16 21 25 26 26 27 28 27 25 26 26 26 28 29 31 35 39 44 48 50 49 46 45 43 39 34 30 29 26 26 27 29 33 36 39 41 45 48 50 52 54 53 52 54 57 63 66 55
0 0 0 0 1 2 1 1 0 0 0 0 7 19 30 34 32 26 20 13 7 2 3 8 11 14 20 25 30 33 34 36 41 51 55 65 69 71 79 79 76 77 77 76 67 73 83 94 106 116 120 119 104 95 89 102 102 100 90 75 68 58 23 15 13 8 5 5 5 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 3 11 21 31 40 45 45 47 43 39 32 33 33 32 32 33 36 39 41 43 50 52 55 55 52 48 45 42 38 36 30 26 22 22 25 29 33 37 40 43 46 51 54 56 56 55 55 57 64 78 72
1 1 3 9 16 13 6 5 2 1 0 2 9 17 22 24 23 19 16 13 11 11 16 21 25 28 33 40 45 42 49 50 58 61 65 76 93 110 120 121 131 145 149 144 148 161 165 163 165 168 171 147 117 98 85 85 82 78 77 77 75 79 33 22 16 10 7 6 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 1 8 22 38 52 62 67 68 69 66 62 51 42 41 41 43 46 50 56 54 58 74 78 81 84 79 66 53 47 46 45 36 26 20 18 20 24 28 33 38 40 43 46 50 55 58 57 57 58 61 82 90
5 11 35 58 56 34 14 12 9 7 5 8 15 21 24 24 22 21 20 20 22 25 29 37 44 49 53 58 68 64 74 79 88 94 103 116 126 132 139 137 133 165 186 186 194 203 198 183 172 161 140 132 108 92 82 76 72 68 70 80 79 61 31 21 16 12 9 8 7 6 4 2 0 0 0 0 0 0 0 0 0 0 2 6 14 31 49 62 70 78 85 88 79 75 69 65 59 58 64 70 78 86 89 113 126 132 138 140 131 117 106 90 78 62 47 36 28 21 18 17 19 23 32 35 39 41 47 53 57 59 59 60 63 73 89
19 46 77 77 55 34 18 20 24 21 17 19 24 27 26 24 23 22 26 30 35 40 47 56 65 72 75 77 85 87 95 102 112 126 146 171 183 171 158 155 141 150 167 174 175 173 159 128 118 105 97 106 98 87 80 76 71 65 63 66 62 39 22 17 15 13 11 10 9 6 2 1 0 0 0 0 0 0 0 0 0 2 5 12 25 42 58 72 82 87 95 99 97 95 89 83 79 80 86 89 97 105 119 144 163 175 185 192 193 183 173 163 153 112 78 62 50 39 31 27 17 17 22 28 33 37 42 48 52 56 61 64 67 84 103
34 67 48 8 6 16 25 36 28 38 39 31 27 29 30 29 28 27 32 39 47 55 63 73 83 90 95 98 103 109 118 123 131 151 176 192 198 207 180 162 148 145 161 176 178 171 149 104 88 97 110 106 94 81 73 72 71 58 43 35 30 24 19 16 14 13 12 11 8 5 2 0 0 0 0 0 0 0 0 1 3 9 18 31 46 57 68 80 89 93 98 105 108 108 107 106 104 103 111 109 115 122 135 158 178 195 208 224 241 243 243 244 215 173 137 108 84 67 43 45 29 22 20 22 27 32 38 43 45 50 57 63 78 105 122
20 20 12 3 3 9 38 82 44 61 60 47 43 45 42 35 34 36 44 53 63 71 80 89 97 107 117 124 131 139 148 152 158 169 181 189 189 199 200 197 206 216 224 221 206 180 149 105 85 90 93 89 80 73 68 68 66 45 29 25 23 20 17 16 14 14 13 11 7 4 2 0 0 0 0 0 0 0 2 4 11 21 32 44 56 65 73 82 89 99 105 110 112 113 115 121 126 127 134 134 134 137 144 151 168 193 213 231 250 260 265 265 255 236 212 179 133 101 83 67 45 31 24 22 23 26 31 37 41 44 49 54 70 85 83
7 5 6 5 3 7 33 124 101 83 64 50 43 39 39 36 38 45 59 70 81 91 99 107 114 128 143 151 157 163 167 168 166 164 168 184 218 240 254 282 314 318 282 231 187 148 118 92 77 74 65 66 67 62 61 61 52 31 24 24 23 20 19 19 18 15 13 9 5 3 2 0 0 0 0 0 0 1 4 10 21 32 42 54 66 71 76 88 98 109 114 114 113 113 119 129 133 139 145 152 153 155 160 166 177 200 227 241 263 271 271 274 286 298 297 253 185 145 131 112 79 53 41 34 28 25 25 29 35 38 40 44 51 58 61
3 4 4 4 4 5 18 100 126 97 70 72 89 91 66 45 49 59 78 93 108 118 122 125 132 145 160 169 170 164 157 159 168 170 174 225 296 311 340 339 318 281 228 170 125 94 78 68 62 58 51 50 52 50 49 48 32 23 20 21 21 20 19 20 19 14 11 8 5 3 2 0 0 0 0 0 2 4 8 16 27 39 50 62 77 79 82 92 100 110 119 124 125 128 130 139 146 151 155 164 168 173 181 193 206 231 265 281 289 286 297 329 355 359 367 308 245 195 168 154 132 100 78 62 45 36 29 28 31 33 36 40 43 46 50
1 2 2 1 2 3 16 97 150 145 123 106 98 92 65 60 76 96 122 152 171 179 177 164 157 163 174 174 153 123 101 96 105 126 179 307 369 405 397 319 232 166 119 88 66 52 48 49 47 43 40 39 38 35 29 24 18 18 18 18 17 16 16 17 17 11 10 9 7 4 2 1 0 0 1 2 4 7 12 19 31 45 58 72 85 88 90 96 104 118 132 140 146 146 146 157 160 164 170 177 184 189 202 224 235 266 302 330 340 337 342 353 345 378 410 378 317 233 191 187 170 147 122 103 90 66 48 38 32 31 34 40 39 42 45
0 0 1 0 0 4 21 111 225 263 197 113 96 106 97 129 186 232 257 258 264 290 314 305 272 246 231 181 109 59 39 35 41 81 227 413 468 459 359 234 135 77 49 35 33 30 31 34 34 35 35 33 29 23 12 10 13 14 15 15 13 12 12 14 15 12 11 11 8 4 2 1 0 0 2 4 6 9 15 23 36 52 65 81 96 97 98 107 117 130 146 157 165 167 172 180 180 182 187 196 207 217 228 250 247 277 319 363 400 431 452 450 457 483 490 475 418 315 244 243 222 181 153 139 131 111 86 58 41 38 34 38 39 41 41
0 0 0 0 0 5 17 66 148 206 172 88 62 88 144 177 181 180 191 200 219 281 387 472 472 400 310 199 85 29 22 25 44 116 370 480 487 403 273 160 84 41 28 16 18 16 15 17 21 25 24 20 18 12 6 7 9 10 10 11 11 11 9 9 13 12 11 10 8 4 2 1 1 1 2 4 8 13 20 29 41 59 75 92 107 103 105 115 126 138 153 169 178 186 187 195 197 197 201 210 228 244 257 274 284 300 334 381 431 481 531 576 610 619 605 585 538 452 368 314 256 218 187 168 158 147 130 104 77 60 53 51 48 47 46
0 0 0 0 1 5 11 23 73 120 122 88 56 77 100 90 65 52 37 28 54 139 280 445 548 504 334 160 54 23 23 47 143 302 423 477 421 294 178 104 58 27 21 12 8 6 5 6 9 11 12 11 10 6 5 5 6 6 6 5 3 3 5 7 8 8 9 9 7 4 1 1 1 1 4 7 10 16 24 35 48 67 87 103 108 109 113 122 135 148 161 175 177 185 192 197 199 200 207 215 237 257 274 298 327 347 371 413 454 497 550 624 688 730 722 694 664 625 578 473 351 281 238 212 197 186 168 142 132 114 101 88 74 61 55
0 0 0 0 0 3 6 13 33 58 67 46 26 30 34 34 13 9 13 14 24 67 163 314 470 449 284 111 30 21 23 43 115 239 370 376 305 205 109 50 32 23 16 9 4 1 0 0 1 2 3 5 6 5 4 6 6 5 3 2 1 1 3 4 4 4 6 6 5 2 1 1 0 1 6 11 16 21 31 45 61 83 102 106 104 106 116 128 142 155 166 178 183 187 191 199 204 203 212 217 238 263 285 310 346 382 414 458 493 531 583 657 702 732 751 758 760 756 754 678 543 425 335 276 251 238 209 183 168 159 157 140 110 90 81
0 0 0 0 0 1 3 13 19 18 15 10 7 6 5 6 6 10 15 15 16 33 84 175 244 212 144 73 33 27 29 51 107 208 269 234 169 101 50 28 22 18 12 5 3 2 3 3 2 1 0 2 3 2 4 7 8 6 4 2 1 1 2 3 3 3 3 4 3 2 2 1 0 4 12 20 27 35 47 60 78 97 102 97 95 105 120 135 148 161 172 183 196 210 219 224 228 221 224 227 238 252 268 299 344 391 438 484 521 555 599 682 733 743 754 765 803 820 851 829 761 663 541 412 345 312 270 229 205 203 211 197 159 130 106
0 0 0 1 1 1 2 8 10 6 2 2 2 3 5 4 5 7 9 9 8 15 27 36 41 37 38 37 32 31 31 37 46 48 91 112 99 75 52 32 20 13 11 8 7 6 5 4 3 2 3 4 3 2 5 7 7 6 4 1 1 3 3 4 4 4 4 5 4 3 2 2 5 15 28 39 45 52 62 73 86 93 89 87 92 106 127 143 157 169 180 194 214 233 245 250 254 253 249 248 249 253 264 291 332 381 433 487 541 568 606 676 750 816 867 818 817 815 835 869 891 869 794 654 546 467 377 297 248 236 245 245 221 177 140
2 1 1 1 2 3 3 3 3 1 0 1 3 5 7 6 4 4 4 3 3 7 13 11 10 11 14 17 22 28 25 19 20 28 44 55 57 51 40 29 20 15 16 14 12 10 6 3 2 4 6 6 8 7 7 8 8 5 3 2 4 4 6 7 8 8 8 8 6 6 6 6 9 21 39 56 63 66 69 76 81 83 84 87 93 103 126 144 162 177 189 203 223 245 258 267 273 279 287 290 293 300 310 319 338 376 422 487 554 590 606 623 661 768 910 885 871 872 882 903 921 920 915 871 780 680 563 441 340 279 263 275 281 237 190
3 2 2 3 4 3 3 1 0 0 1 3 5 6 5 4 2 1 1 1 3 3 10 7 5 7 10 13 15 18 15 13 16 19 24 30 33 31 28 24 18 17 18 16 13 10 6 5 6 5 6 6 8 8 9 8 8 7 6 5 6 8 9 9 8 8 7 7 5 3 4 5 8 17 32 50 60 64 66 67 68 71 77 84 87 93 110 130 150 168 185 204 225 240 252 266 270 282 304 324 339 352 370 393 375 408 453 507 547 562 558 532 504 592 708 797 905 967 938 884 903 920 964 992 954 869 765 644 501 375 299 288 311 286 242
4 4 4 5 5 4 3 1 1 2 3 6 6 5 4 4 3 1 1 3 4 5 6 5 5 6 9 14 17 20 15 11 11 14 16 17 17 17 17 15 13 13 11 9 7 5 4 4 6 3 3 5 6 7 7 8 8 8 7 6 7 8 8 6 5 3 2 2 1 0 0 1 4 11 20 33 43 50 54 54 54 55 58 64 73 81 92 103 118 135 153 171 189 204 218 237 245 266 297 328 352 369 407 440 418 460 524 566 550 485 443 436 418 420 472 630 836 967 975 919 877 914 971 1021 1042 1029 976 868 709 544 422 369 363 335 283
5 6 6 6 6 6 4 2 1 3 7 8 6 5 4 4 3 2 2 3 4 4 4 4 5 5 7 12 14 16 13 9 7 6 6 6 7 8 8 6 5 5 4 2 1 1 0 1 0 0 1 2 4 5 3 5 5 5 5 4 3 3 3 2 1 1 0 0 1 0 0 0 3 10 18 26 33 41 43 42 42 44 45 45 51 63 75 82 91 101 113 126 138 153 166 182 200 226 257 291 325 354 381 393 422 482 559 613 586 434 348 333 349 347 392 509 660 817 896 865 863 909 947 988 1033 1079 1120 1132 989 803 641 534 474 434 378
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