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 4 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 7 7 7 7 7 7 7 7 7 7 6 6 5 4 4 3 3 3 3 3 5 7 8 9 10 13 14 14 12 9 6 4 4 5 6 6 5 5 5 6 6 6 7 6 6 7 9 11 11 9 8 6 5 6 7 7 7 8 8 8 7 7 7 6 6 6 5 4 3 2 2 2 2 3 3 4 4 5 5 5 5 6 7 11 17 20 18 16 15 17 17 18 19 20 21 22 21 19 17 15 13 11 10 nan
nan 4 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 5 6 7 7 7 6 6 6 5 5 5 5 5 5 4 4 4 3 3 3 2 2 3 5 7 9 9 10 11 12 11 9 7 7 7 6 5 5 6 6 5 5 6 6 6 7 6 6 7 8 10 8 4 1 1 3 4 4 5 5 6 6 7 7 7 7 7 8 8 7 6 5 4 3 2 2 2 2 3 4 5 5 5 5 5 5 6 8 9 9 8 9 10 11 12 14 16 18 20 22 22 22 20 18 16 15 nan
nan 5 5 5 5 4 4 4 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 4 4 4 3 3 3 4 4 4 4 4 4 3 3 2 3 5 7 9 10 10 11 11 10 6 3 4 7 9 7 5 5 6 6 6 5 6 6 6 6 6 7 7 8 9 8 5 2 2 3 3 3 3 3 4 5 5 6 6 7 7 8 8 8 7 7 5 4 3 3 2 2 2 3 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 8 10 13 15 18 20 21 22 21 20 19 nan
nan 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 3 4 5 7 9 10 11 12 12 11 8 3 -0 1 4 7 7 5 5 6 7 6 5 6 6 6 6 7 7 7 8 9 9 7 5 5 4 4 4 3 3 3 3 4 5 5 6 6 7 8 8 8 8 7 6 5 4 2 2 1 1 2 3 4 4 5 5 5 4 4 4 4 4 4 4 4 5 6 7 9 11 14 16 18 19 19 18 nan
nan 5 5 4 4 4 3 3 3 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 5 7 8 9 11 12 13 13 11 7 3 1 1 2 3 5 6 6 6 6 6 5 5 6 6 7 8 8 9 9 10 9 8 6 6 7 6 5 4 4 3 3 3 4 4 5 6 6 7 8 8 8 8 7 6 5 3 2 1 1 1 2 3 3 4 4 4 4 4 4 4 4 3 3 3 3 4 4 5 6 8 10 11 13 13 12 nan
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nan 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 6 6 7 8 9 9 8 7 7 7 6 6 7 7 7 7 7 8 8 8 8 8 7 8 8 8 8 8 8 8 9 9 8 8 7 7 6 6 6 7 7 6 6 7 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 9 9 10 9 9 8 7 3 -2 -4 -1 2 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 8 7 7 7 7 7 6 6 6 6 6 6 7 nan
nan 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 6 6 6 7 8 9 9 8 8 8 7 7 7 7 6 6 7 7 7 8 8 7 7 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 7 8 9 9 9 9 9 9 9 9 9 8 6 2 -2 -2 -0 2 3 4 4 3 3 3 3 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 nan
nan 9 9 9 8 8 7 7 7 8 8 8 7 7 7 7 7 7 8 8 9 9 9 8 7 7 6 6 6 7 8 9 9 8 8 8 7 7 7 6 6 6 7 7 7 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 8 7 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 7 6 2 0 -1 0 2 3 2 2 1 1 2 3 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 7 7 7 6 6 6 6 7 7 7 6 7 nan
nan 9 9 9 9 8 7 7 7 7 7 8 8 7 7 7 7 7 8 8 9 9 8 8 8 8 7 7 6 7 7 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 8 8 8 7 8 8 8 8 8 8 9 9 9 9 7 6 5 5 5 5 6 6 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 6 4 2 1 2 3 2 1 -0 -1 -0 2 3 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 nan
nan 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 8 8 7 7 7 7 8 9 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 6 6 6 5 6 6 6 7 8 8 7 7 8 8 8 7 7 6 6 6 6 6 6 7 7 6 5 5 5 5 4 2 -1 -3 -2 1 2 3 4 5 5 5 5 5 5 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 nan
nan 8 8 8 8 8 6 6 7 7 7 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 7 7 6 7 9 10 11 11 11 10 9 9 8 8 8 7 7 7 7 6 6 7 8 8 7 7 6 7 8 8 8 9 9 9 9 8 8 9 8 8 7 6 6 6 6 6 6 7 7 7 7 7 8 8 8 7 7 6 6 6 6 5 5 5 6 6 6 7 7 7 7 5 1 -3 -3 -0 1 3 4 4 5 5 5 5 5 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 nan
nan 8 8 7 7 8 7 7 7 8 8 7 8 7 7 7 6 6 6 7 7 8 8 8 9 8 8 7 7 7 7 6 7 7 8 9 10 10 10 10 9 8 8 8 8 8 7 7 6 6 7 7 7 7 6 7 7 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 6 7 7 7 7 7 7 4 1 -0 -0 0 2 3 4 5 5 5 5 5 4 5 5 6 6 6 6 6 5 5 5 6 6 6 7 7 7 7 7 6 nan
nan 8 7 7 8 8 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 8 8 8 8 7 6 5 5 6 6 6 6 6 6 7 8 10 10 10 9 8 8 8 8 7 7 7 7 7 7 7 7 6 6 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 7 8 8 8 7 7 7 5 4 2 1 1 2 4 4 5 5 5 5 5 5 5 6 6 6 6 5 5 5 5 6 6 6 7 7 7 7 7 6 nan
nan 7 7 7 8 8 7 7 7 8 8 7 7 8 7 7 7 7 7 8 8 8 8 8 7 6 5 4 5 5 6 6 6 6 6 6 7 8 9 10 9 9 9 8 7 6 7 7 7 7 8 8 7 7 6 6 6 6 7 8 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 6 6 6 7 7 8 8 7 7 7 7 7 6 7 7 7 8 9 8 8 8 8 8 7 5 3 3 3 3 4 4 5 5 4 5 5 5 6 6 6 6 5 5 5 5 6 6 7 7 7 7 7 7 6 nan
nan 7 7 7 8 7 6 6 7 8 8 7 8 8 8 7 8 8 8 9 9 9 8 8 7 6 5 5 6 6 6 6 6 6 6 5 6 7 8 9 9 9 9 8 7 6 6 6 6 7 8 8 8 8 7 6 5 5 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 6 5 5 6 7 7 8 8 8 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 7 6 6 5 4 4 4 5 6 6 5 5 5 6 6 6 6 5 5 5 5 6 6 7 7 7 7 7 6 6 nan
nan 8 7 7 7 6 5 5 6 7 7 7 7 8 8 8 9 9 10 10 10 9 8 8 7 7 6 7 7 6 6 6 7 6 5 6 6 7 7 8 8 9 9 8 7 6 6 6 6 6 7 8 8 8 8 8 7 6 6 6 5 6 7 7 7 8 9 9 8 9 9 9 9 8 8 8 7 7 5 4 4 5 6 7 7 8 8 8 8 8 8 8 8 8 9 10 10 9 8 8 8 8 8 8 8 8 7 6 6 5 6 7 9 9 8 7 5 5 5 6 6 5 5 5 6 6 6 7 7 7 7 7 6 6 nan
nan 8 7 7 6 6 5 5 6 7 7 7 7 7 8 10 11 11 10 9 9 9 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 9 9 8 7 7 6 6 6 6 6 7 7 8 8 8 8 8 7 6 6 6 6 5 6 8 9 9 8 8 9 9 9 8 8 8 7 6 5 4 5 6 7 7 8 8 8 8 8 9 9 9 9 9 10 10 9 8 7 7 7 8 8 8 7 8 8 8 7 8 8 10 12 11 10 6 3 2 5 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 nan
nan 8 7 6 6 6 6 6 6 7 7 6 6 7 8 10 11 11 10 9 9 8 8 7 7 6 5 5 6 6 6 6 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 6 6 7 6 6 7 7 8 8 7 6 6 5 5 4 5 7 8 8 8 7 8 8 8 8 8 8 7 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 9 10 10 9 8 7 7 8 8 8 8 7 8 8 9 9 8 8 9 10 10 9 6 1 -3 -0 4 5 6 6 6 6 6 7 7 7 7 7 7 7 6 6 nan
nan 8 6 5 5 6 6 6 7 7 7 6 6 6 7 8 9 9 9 9 8 7 7 7 6 6 5 6 6 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 6 6 6 6 6 6 6 5 5 4 4 5 6 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 8 8 9 9 10 10 8 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 6 1 -5 -5 -0 4 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 nan
nan 8 6 5 5 6 6 6 7 7 8 8 7 7 7 6 7 8 8 8 7 7 6 6 6 5 6 7 8 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 9 9 8 8 9 9 9 8 7 7 7 6 6 6 6 6 5 4 4 4 5 6 7 8 8 8 8 8 7 7 8 9 9 8 8 8 9 9 10 10 10 10 9 8 8 8 8 9 9 8 7 8 8 9 9 9 9 8 9 9 8 8 8 8 8 9 8 7 4 -2 -5 -3 1 4 6 6 6 7 7 7 8 8 7 7 7 7 6 6 6 nan
nan 7 6 5 5 6 7 7 7 7 8 8 8 8 7 6 6 7 7 7 6 6 6 6 6 5 6 7 8 8 7 7 7 6 6 6 6 6 7 8 9 10 10 10 10 9 8 8 8 8 9 9 9 9 9 9 8 7 7 8 8 7 5 4 4 5 5 6 7 8 8 8 7 7 7 8 9 9 8 7 8 9 10 11 10 10 9 8 8 7 7 7 7 7 6 6 7 8 9 9 9 9 9 9 9 9 8 8 8 9 9 8 6 2 -2 -3 1 5 7 6 6 6 7 8 8 8 8 7 7 7 7 6 7 7 nan
nan 7 6 5 5 6 7 8 7 7 7 8 8 8 7 7 7 8 8 7 6 5 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 7 8 9 10 10 10 10 9 8 8 8 8 8 9 10 11 10 9 8 8 10 10 8 6 4 4 5 5 6 7 7 6 6 7 7 8 8 8 7 6 6 7 9 10 11 10 8 7 7 7 7 7 6 6 6 6 7 8 8 9 9 9 9 9 9 9 9 8 7 7 8 8 8 5 2 1 4 9 11 10 8 7 8 8 8 8 8 7 7 7 7 7 7 7 7 nan
nan 8 7 5 6 8 9 9 8 7 7 7 8 8 8 7 8 9 8 7 6 6 6 7 7 6 6 6 7 7 7 7 6 6 6 7 6 6 6 7 8 8 9 10 11 11 10 9 9 9 8 8 8 10 11 10 9 8 8 10 11 9 7 6 6 6 6 6 6 6 6 6 7 8 8 7 6 5 5 5 6 8 9 9 8 7 6 6 6 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 7 7 8 7 7 6 8 12 15 15 12 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 nan
nan 8 8 7 8 9 9 9 8 6 5 6 8 8 8 8 8 8 8 8 7 8 7 7 7 7 6 6 6 7 7 7 6 6 7 8 7 7 6 7 7 8 8 9 10 11 11 10 10 10 10 8 7 7 8 8 8 7 8 10 11 10 9 8 7 7 7 7 7 7 7 7 7 8 8 7 6 5 5 6 7 7 7 7 7 6 6 6 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 9 11 13 14 13 11 11 11 9 7 6 7 7 7 7 7 7 7 7 7 7 nan
nan 8 8 8 9 9 9 9 8 6 5 5 7 7 8 8 8 8 8 8 9 9 9 8 8 7 6 5 6 6 6 6 6 7 8 9 8 7 6 6 6 7 8 8 9 10 10 11 11 12 11 9 8 7 7 8 9 9 10 10 10 9 9 8 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 7 7 7 6 6 6 6 6 6 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 9 10 11 10 7 4 3 5 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 9 10 10 9 8 5 5 5 6 7 7 8 9 9 9 9 10 10 9 8 7 7 6 6 6 6 6 6 7 9 10 10 9 8 7 6 5 6 6 7 8 9 9 10 11 12 12 10 10 10 10 10 11 12 12 10 9 8 8 7 6 6 7 8 8 9 9 9 9 8 8 7 6 6 7 8 8 7 6 6 7 6 6 6 7 7 8 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 8 8 7 7 8 7 4 1 1 5 6 7 7 7 7 7 7 7 7 nan
nan 7 6 7 8 10 11 10 7 5 4 5 6 6 7 8 9 9 9 10 10 9 8 7 7 7 7 7 6 6 6 7 8 9 10 10 9 8 7 6 5 5 5 7 8 9 9 8 9 10 11 11 11 12 13 14 14 14 12 10 9 8 8 7 6 6 7 7 8 9 9 9 9 9 9 8 8 8 8 9 9 9 8 7 8 7 7 7 6 6 7 8 8 9 8 8 8 8 8 9 9 9 9 9 9 8 8 9 10 10 9 8 8 9 9 8 4 2 1 3 3 1 -1 2 5 7 7 7 7 7 7 7 7 7 nan
nan 7 7 7 8 10 11 10 7 5 4 5 6 7 8 9 10 10 10 10 10 9 8 7 8 8 8 8 7 7 7 9 9 9 9 8 8 8 8 7 6 5 5 6 7 8 8 8 8 9 10 11 11 12 14 15 15 15 13 12 10 9 9 9 8 7 7 6 7 7 8 9 9 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 7 7 7 7 8 8 9 8 8 8 8 8 9 9 9 9 9 8 8 9 10 10 9 8 8 8 9 6 1 -2 -3 -0 2 1 2 5 6 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 9 10 10 10 8 6 5 5 6 7 8 9 9 10 10 10 9 8 8 8 8 8 9 9 9 8 9 9 10 9 8 7 7 8 8 7 7 6 6 6 6 7 7 7 7 8 9 9 9 10 11 12 14 14 15 14 13 12 12 11 10 9 8 7 6 6 7 8 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 9 8 8 7 7 7 8 8 8 8 8 9 8 9 10 10 9 9 9 9 9 9 8 7 7 8 7 4 1 -0 -1 1 2 3 4 5 6 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 9 10 10 10 8 6 5 5 6 7 8 9 9 10 10 10 9 9 9 8 8 8 9 10 10 10 9 9 9 9 7 7 7 8 9 8 8 7 6 6 6 6 6 6 7 8 8 7 7 7 7 8 10 12 13 14 14 13 12 12 12 11 10 9 7 7 6 7 8 9 9 10 10 11 11 11 10 10 10 10 10 10 11 10 9 9 9 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 10 10 8 7 7 7 8 8 7 6 5 4 4 3 1 1 2 4 6 7 7 7 7 7 7 7 7 7 nan
nan 8 8 8 8 9 10 9 8 6 5 6 7 8 8 9 10 10 10 10 10 10 10 10 9 9 9 10 9 9 9 9 9 8 7 7 8 9 10 10 9 7 7 7 7 7 6 5 6 7 7 7 7 7 7 7 7 8 9 10 10 10 11 12 12 12 12 11 9 7 7 7 7 8 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 8 8 8 8 9 9 9 8 8 8 8 9 9 10 9 8 7 7 8 8 9 9 9 8 8 6 2 -3 -3 0 5 7 7 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
4 9 16 19 13 7 4 10 13 23 30 26 19 14 10 9 11 16 23 29 35 50 69 72 59 55 74 103 131 157 176 123 89 88 95 106 118 129 145 175 229 276 260 223 167 80 29 9 1 0 1 3 8 15 20 24 26 31 39 42 36 24 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 146 453 688 741 785 843 856 819 794 732 614 563 492 373 266 198 156 145 164 218 399 542 590 634 678 707 719 737 787 910 1031 957 903 889 911 1102 1211 1077 894 922 1144 1335 1091 971 848 719 582 448 349 279 226 195 187 168
6 8 12 14 6 3 2 2 3 6 6 5 6 8 10 13 17 20 25 48 71 92 112 115 101 98 130 188 272 348 329 221 167 166 176 184 204 243 288 353 381 429 373 239 107 36 9 1 0 0 0 2 8 18 21 19 18 21 25 24 16 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 57 271 538 674 729 823 857 864 869 915 842 706 559 437 350 264 176 123 97 82 135 227 298 335 385 477 563 616 665 714 739 702 693 750 754 733 795 853 838 886 957 1135 1359 1303 1249 1210 1134 1017 860 699 569 466 372 316 300
19 23 29 23 11 6 4 3 3 3 3 3 3 4 5 8 12 18 25 47 76 97 113 125 128 135 155 213 325 404 365 267 205 197 211 217 220 269 380 525 335 263 158 63 20 7 2 0 0 0 1 1 10 20 21 17 14 13 12 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 85 240 396 493 543 574 647 657 761 907 924 849 718 557 416 349 286 199 150 98 93 117 164 209 246 298 364 430 492 521 532 627 664 679 674 630 564 492 427 459 621 778 936 1072 1200 1266 1247 1184 1089 980 870 749 619 541 549
40 48 44 29 17 11 8 6 4 4 4 4 4 4 4 4 6 10 17 26 32 44 62 72 82 112 98 129 185 218 206 168 137 125 121 115 114 112 124 122 71 43 25 12 6 3 1 0 1 4 15 23 24 24 23 18 14 11 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 27 81 160 250 351 447 501 430 476 582 681 762 797 750 644 539 464 410 358 262 164 115 100 117 160 205 239 279 337 390 396 429 502 541 555 571 558 482 383 325 311 345 428 520 670 858 1015 1114 1164 1143 1115 1065 982 894 849 858
59 63 50 31 20 15 13 11 9 8 7 5 6 7 8 7 6 8 10 13 13 15 20 23 31 56 49 56 72 81 77 68 63 61 49 32 35 29 21 8 4 4 7 9 10 6 2 0 1 11 22 22 24 23 22 18 14 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 19 50 89 133 194 228 245 221 244 287 315 356 444 534 570 630 680 578 489 449 345 232 168 143 127 124 151 197 227 259 291 298 316 334 348 383 410 435 415 366 349 352 317 297 313 373 478 601 716 879 985 1046 1056 1042 1028 1028 1061
76 68 47 29 22 19 18 18 18 16 15 14 14 14 16 19 19 18 17 16 15 18 24 26 29 35 38 48 53 51 49 40 32 27 16 7 7 7 4 1 2 6 8 9 10 7 2 0 2 11 22 16 9 14 22 18 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 40 78 103 119 159 160 143 122 133 146 147 159 209 278 314 347 402 405 402 473 450 342 256 212 176 122 115 146 167 181 197 213 225 229 242 273 274 298 309 308 301 293 283 279 281 288 305 339 371 416 589 729 809 872 919 915 909
81 66 51 35 28 26 27 30 35 38 34 26 28 33 47 64 65 53 46 44 42 50 68 72 70 69 62 58 48 35 26 17 11 7 3 1 1 2 3 4 5 7 9 10 9 5 2 0 1 5 15 12 11 18 20 15 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 18 55 116 149 147 153 150 133 116 116 118 112 107 121 158 190 196 216 352 520 606 553 431 324 248 210 141 115 103 106 112 117 127 152 180 173 162 167 181 200 213 212 206 215 237 250 249 255 255 263 290 350 425 503 610 734 782 783
73 69 61 43 37 39 47 64 87 103 100 85 111 97 130 149 154 140 122 110 110 120 125 109 85 70 55 40 25 13 6 2 1 1 1 1 1 1 2 4 6 7 8 8 5 2 1 0 0 1 4 8 13 16 13 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 23 62 131 175 174 172 165 161 150 145 142 134 129 132 148 172 196 227 323 369 363 350 322 263 217 170 131 109 90 79 75 72 77 96 112 86 80 89 98 110 121 126 132 146 161 168 165 174 179 188 206 226 257 305 373 473 498 432
53 53 50 48 52 66 91 126 167 210 262 366 443 320 314 298 269 230 189 164 152 138 118 82 57 38 23 12 5 2 0 0 0 0 0 0 1 1 1 1 2 3 3 3 2 0 0 0 0 1 3 7 10 8 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 28 62 102 139 159 181 192 219 234 206 181 177 177 166 164 177 184 180 182 181 165 153 154 144 126 101 91 86 78 73 68 64 63 66 64 53 57 57 60 63 67 69 72 75 72 84 78 77 83 90 101 116 133 153 173 214 209 147
48 58 59 63 75 98 135 190 263 352 486 756 794 604 497 414 313 230 179 144 125 99 64 36 21 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 2 3 4 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 24 44 72 95 121 149 178 209 223 207 192 195 196 178 163 158 151 136 117 104 95 86 85 84 78 73 72 71 70 68 66 62 59 57 54 45 44 45 46 48 50 50 48 45 39 45 41 35 33 32 28 26 37 51 66 83 94 86
43 54 67 87 115 188 302 409 494 593 730 978 932 664 479 358 243 154 108 77 55 31 17 8 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 16 32 44 66 75 84 102 124 142 149 153 157 163 162 146 130 119 109 95 84 78 74 70 69 68 66 64 63 63 63 63 63 61 59 57 51 43 38 35 36 37 39 43 43 42 38 35 30 25 21 16 13 9 8 16 27 40 52 54
55 79 105 150 227 406 645 803 831 817 801 786 599 430 308 208 124 67 41 24 13 4 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 0 0 0 0 0 2 7 19 33 39 55 60 64 73 84 91 92 102 112 114 113 107 100 94 87 79 74 69 66 64 63 62 61 58 57 57 58 59 58 58 58 54 46 38 33 32 31 29 27 30 35 38 36 32 29 24 18 14 14 10 5 7 15 26 34 37
80 116 187 293 433 627 829 920 858 736 572 428 283 200 136 80 39 16 6 4 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 0 0 0 0 0 0 2 8 18 30 39 46 51 54 58 61 69 71 77 81 84 87 90 91 88 84 79 75 70 66 63 61 59 57 56 55 54 54 53 51 51 49 42 36 32 30 30 31 30 27 27 27 28 27 26 27 25 20 16 16 12 9 8 10 17 23 27
139 203 340 492 596 642 647 599 487 386 268 178 115 74 43 21 8 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 2 2 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 4 12 20 29 42 49 51 52 52 55 59 61 65 69 74 79 83 83 82 79 76 73 69 65 62 59 56 53 52 51 48 48 46 45 44 42 38 34 29 25 24 26 27 28 26 24 22 23 25 24 25 23 19 18 16 14 12 11 12 15 17
251 347 468 542 529 444 337 251 178 133 97 62 34 18 9 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 0 1 4 8 7 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 13 21 27 34 42 46 48 50 54 57 59 61 64 68 73 76 74 70 68 64 62 61 59 57 54 51 47 44 41 42 43 43 42 40 37 33 28 24 23 22 22 23 23 22 22 22 21 21 22 23 24 22 20 19 17 16 14 13 14 13
372 411 405 372 312 227 144 92 63 45 33 19 8 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 1 3 7 10 11 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 17 25 28 29 33 38 43 47 51 54 56 59 61 65 67 66 63 56 54 51 48 47 48 47 45 42 41 40 40 40 39 38 37 36 32 28 23 22 21 20 18 18 18 17 18 19 19 19 19 20 21 21 20 18 17 17 16 14 13 12
344 307 240 189 151 104 58 32 21 13 9 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 0 0 0 0 0 0 0 1 3 5 8 10 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 18 29 33 31 31 36 40 44 49 52 53 56 58 60 57 54 49 41 40 38 36 35 36 37 36 36 36 36 37 34 31 28 28 29 25 20 18 18 16 15 13 13 13 12 14 16 13 15 16 16 17 18 19 17 15 15 13 11 12 13
188 146 93 62 58 47 26 13 7 3 2 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 1 3 6 8 7 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 6 20 36 42 36 32 34 37 40 44 48 49 50 50 49 46 42 37 32 29 27 26 26 26 27 25 24 24 25 23 20 19 19 18 16 15 13 12 13 12 12 12 12 10 9 8 7 8 10 11 11 12 14 14 14 12 12 10 9 9 9
59 49 43 39 36 27 11 4 2 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 1 2 3 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 6 22 40 46 39 35 34 34 34 38 41 41 39 39 38 36 31 25 19 16 15 15 13 12 14 13 12 13 13 11 10 11 11 10 9 8 8 8 9 10 9 9 9 9 7 7 7 7 7 7 8 8 9 8 8 8 9 9 8 8 8
10 24 40 46 38 22 5 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 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 23 44 45 40 36 34 31 29 29 30 29 31 32 33 30 23 15 9 7 6 6 5 4 5 5 5 7 7 6 7 7 7 7 7 5 5 5 5 5 6 6 6 6 5 6 5 6 6 6 6 6 6 6 7 7 7 8 8 7 7
7 24 40 43 34 13 5 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 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 7 24 41 42 40 36 33 30 26 26 27 30 29 28 26 21 14 8 5 4 3 2 2 1 1 2 2 3 3 3 4 5 6 5 5 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 4 5 5 6 6 5 5 5
5 21 32 24 23 11 8 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 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 3 12 25 34 36 35 31 27 25 25 24 25 25 24 19 12 6 4 2 1 1 0 0 0 0 1 1 1 1 2 2 2 4 4 4 4 5 5 5 5 5 5 6 5 5 6 5 6 6 6 6 5 4 4 4 4 5 4 4 4 5
2 10 18 9 13 13 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 13 23 29 31 29 26 25 24 24 24 21 18 12 6 3 2 1 0 0 0 0 0 0 0 0 1 2 2 3 3 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 4 4 4 4 4 4 4 4 5
1 1 4 4 5 7 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 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 3 7 12 17 21 23 23 23 22 21 20 16 11 7 3 2 1 0 0 0 1 0 0 0 0 1 1 1 2 3 3 4 4 5 6 5 5 6 6 7 6 6 6 6 6 7 6 6 6 6 5 5 4 3 4 4 4 4 4 4
0 0 0 1 2 3 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 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 3 4 5 7 11 15 18 19 19 17 15 11 7 4 2 1 1 0 0 1 0 0 0 0 0 0 0 0 1 2 3 3 4 5 6 5 5 6 7 6 6 7 7 7 7 8 6 6 6 5 5 5 3 5 5 4 4 4 5 5
0 0 0 0 1 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 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 3 3 4 6 9 11 10 11 11 9 7 5 3 1 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 2 3 4 4 4 5 6 6 6 6 6 6 7 7 7 6 6 5 4 4 3 3 5 5 5 4 4 4 5
0 0 0 0 0 2 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 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 2 2 2 4 6 7 6 6 6 6 5 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 4 5 5 5 6 6 6 6 7 7 6 6 6 6 5 5 4 3 3 4 5 5 4 4 4 5
0 0 0 0 0 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 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 1 1 2 4 4 4 4 4 4 4 3 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 3 4 5 6 7 7 6 5 5 6 6 6 5 5 4 3 3 4 5 5 5 5 5
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 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 2 2 2 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 2 4 6 6 7 7 7 7 6 6 5 6 6 5 4 4 4 4 5 6 6 5 5
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