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 4 4 4 4 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 3 1 0 2 4 5 6 5 5 5 5 6 8 11 13 13 12 10 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 6 6 6 7 7 7 8 7 7 7 7 7 8 8 9 9 9 9 8 9 10 11 12 12 11 10 9 9 10 9 7 5 5 5 6 6 6 7 7 6 6 6 6 6 6 7 7 7 6 3 -0 -0 2 5 6 6 6 5 5 5 5 6 8 10 12 12 11 10 9 9 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 nan
nan 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 11 13 13 12 11 10 10 11 12 12 10 6 4 5 6 6 6 7 7 7 7 6 6 6 7 8 8 7 5 2 -1 -1 3 5 6 6 5 5 4 5 5 5 7 8 10 11 11 11 11 12 12 14 14 13 12 11 10 8 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 nan
nan 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 9 9 9 9 10 10 11 12 12 12 13 13 12 11 10 9 9 10 12 13 14 12 8 5 5 6 6 7 7 7 7 7 6 6 7 8 8 8 6 3 -0 -2 0 4 5 5 5 5 5 4 5 5 6 7 9 10 10 11 11 12 14 16 19 20 21 19 17 14 12 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 12 13 14 14 13 12 11 9 8 7 7 9 11 12 12 11 9 7 6 6 7 7 7 7 7 6 6 6 7 7 7 7 5 1 -2 -2 2 5 5 5 5 5 5 5 6 7 8 10 12 13 12 11 10 11 13 17 21 25 28 28 25 22 17 14 11 10 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 12 12 12 10 9 8 7 6 6 8 9 10 10 9 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 6 3 -1 -4 -1 3 5 6 5 5 5 6 7 8 10 12 14 16 16 14 11 9 8 9 12 16 22 29 32 32 28 24 19 16 14 12 11 10 10 9 9 8 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 nan
nan 5 5 5 6 6 6 6 6 6 6 7 7 7 6 6 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 8 9 8 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 6 4 1 -3 -4 -0 4 6 6 6 6 7 8 10 13 15 16 17 18 17 14 10 7 5 4 5 8 14 22 28 31 29 26 23 19 18 17 16 16 15 14 13 12 11 10 9 9 8 8 7 7 7 6 6 6 6 6 5 nan
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nan 8 7 8 8 8 8 5 4 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 6 5 4 5 6 7 7 7 8 9 10 9 9 7 6 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 8 9 9 9 7 5 5 6 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 6 6 6 7 7 7 8 10 11 11 10 9 7 6 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 nan
nan 8 10 11 10 9 7 6 6 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 6 6 6 6 6 7 7 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 7 6 6 7 7 7 7 8 11 13 13 12 10 8 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 11 11 10 8 6 6 7 7 8 8 7 7 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 6 6 7 7 8 8 6 5 6 6 7 7 8 10 13 15 14 11 8 6 6 6 6 6 7 6 6 6 6 6 6 7 7 7 7 8 8 8 7 7 7 7 6 6 6 7 7 7 7 7 nan
nan 10 11 9 8 7 7 7 8 8 8 8 7 7 7 6 7 7 7 7 7 8 9 9 8 8 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 7 6 6 6 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 7 5 5 6 6 7 7 9 10 12 12 11 9 6 4 5 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 7 8 nan
nan 9 9 8 8 8 8 9 8 8 8 8 7 7 7 7 8 7 7 7 7 8 9 9 9 8 8 8 8 9 8 8 7 7 7 7 8 8 8 8 8 8 9 9 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 9 9 8 7 7 6 6 6 6 7 7 7 8 8 8 8 9 8 8 7 7 7 7 7 7 7 8 8 6 5 6 6 7 8 8 9 9 10 9 8 6 4 4 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 8 8 7 6 6 6 6 6 6 6 7 7 7 8 8 nan
nan 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 8 8 9 9 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 9 8 8 7 6 6 6 6 6 6 7 7 7 8 8 8 9 8 8 8 8 7 7 7 7 8 8 7 6 6 6 7 8 8 9 9 9 8 8 7 5 5 7 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 8 7 6 6 5 5 5 6 6 7 7 7 8 8 8 nan
nan 8 10 10 9 8 7 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 10 9 9 10 10 10 9 9 8 7 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 6 6 6 6 7 7 7 8 8 8 8 7 7 7 8 9 9 8 8 8 8 8 7 7 8 8 8 9 9 9 9 8 7 6 5 5 5 5 6 6 7 7 8 8 8 8 nan
nan 9 10 9 7 5 5 6 7 7 8 8 9 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 7 6 7 8 8 8 8 7 6 7 7 7 8 9 10 12 12 12 12 11 11 11 12 12 12 11 10 10 10 10 10 10 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 8 8 6 5 5 6 6 7 7 7 8 8 8 8 7 7 8 9 9 8 8 8 9 9 9 8 8 8 9 10 10 10 9 8 7 5 4 4 4 5 6 6 7 7 8 8 8 8 8 nan
nan 9 9 7 5 4 5 6 7 7 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 8 8 8 7 7 7 7 8 8 8 7 6 6 7 7 8 9 11 13 13 13 12 11 10 11 12 13 13 12 11 11 10 10 10 10 10 8 7 6 5 5 5 5 6 6 6 7 7 7 8 8 8 8 8 7 7 8 8 9 9 8 7 5 5 5 6 7 7 7 7 8 8 8 7 6 7 7 8 8 8 8 9 9 9 9 9 10 11 12 12 11 10 9 7 5 4 4 4 5 6 6 7 8 8 8 8 8 8 7 nan
nan 10 9 7 5 5 6 7 7 7 7 8 7 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 8 8 7 7 7 8 8 7 6 6 7 8 9 10 12 13 13 12 11 10 9 10 12 13 13 13 12 11 10 10 10 10 9 8 7 6 5 4 5 5 6 6 6 7 7 7 8 8 8 8 7 6 6 7 8 8 8 7 6 6 6 6 7 7 7 7 8 8 8 7 6 6 6 6 7 7 7 7 7 8 9 10 11 13 14 15 15 13 10 7 5 4 3 4 5 6 7 8 8 8 8 8 8 7 7 7 nan
nan 11 9 7 7 7 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 8 8 7 7 8 8 7 7 7 7 8 9 10 12 12 12 10 9 8 9 10 11 13 13 13 13 11 9 9 9 9 9 8 7 6 4 4 4 5 6 6 7 7 7 7 8 8 8 8 6 6 6 7 8 8 7 7 7 7 7 8 7 7 7 8 8 8 7 5 5 5 5 6 6 6 6 6 7 8 9 10 12 14 15 16 14 11 7 4 3 3 4 5 6 7 8 9 9 9 8 8 7 7 6 6 nan
nan 10 9 8 8 9 9 8 8 8 8 8 8 8 8 7 7 7 7 6 6 7 7 7 8 8 9 10 10 9 9 8 8 8 8 7 7 7 7 7 8 10 11 12 11 10 9 8 9 10 11 11 12 12 12 11 10 9 9 9 9 9 8 7 5 5 5 5 6 7 7 7 7 7 8 9 8 7 6 6 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 6 4 4 5 6 6 6 6 6 8 9 9 9 9 10 11 12 11 8 4 -0 -0 2 3 5 6 8 9 9 9 9 8 8 7 6 6 6 5 nan
nan 10 8 8 8 9 8 8 8 9 9 8 8 8 7 6 6 6 6 6 6 6 7 7 7 8 9 10 10 10 10 9 9 8 8 8 7 7 7 7 7 8 10 11 10 10 9 9 10 10 10 10 10 11 11 12 11 11 10 9 9 9 8 7 6 5 6 6 7 7 7 7 7 8 8 8 7 6 6 7 7 8 8 7 7 7 8 8 9 9 8 8 8 8 8 7 5 5 5 6 6 6 6 6 7 9 9 9 8 8 8 8 8 7 2 -3 -4 -0 3 5 7 8 9 9 9 9 8 8 7 6 6 5 5 5 nan
nan 9 8 9 9 8 8 8 8 9 9 8 8 7 6 5 5 5 5 6 6 6 6 7 7 7 8 9 10 10 11 10 10 9 9 8 7 6 7 6 6 7 9 10 10 10 10 11 11 11 11 10 9 9 10 11 12 13 12 10 8 7 6 5 5 6 7 8 8 8 7 7 7 8 8 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 6 6 6 7 7 7 7 8 9 9 8 7 7 8 8 7 4 -0 -3 -1 3 7 9 9 10 10 9 9 8 8 7 6 6 5 5 5 5 nan
nan 9 9 8 8 8 8 9 9 9 9 8 8 7 6 6 5 5 6 6 6 6 6 6 7 7 8 8 9 10 10 11 11 10 9 8 7 7 7 6 6 7 8 9 10 10 11 12 12 12 11 10 9 9 9 10 11 12 11 9 6 3 2 3 4 6 8 9 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 8 7 7 6 6 5 6 6 6 7 7 7 7 8 8 8 8 7 7 8 8 8 6 3 -0 0 5 10 12 12 11 10 9 9 8 8 7 6 5 5 5 5 5 5 nan
nan 9 8 7 8 8 9 10 10 9 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 7 7 8 8 9 9 10 12 11 10 8 8 7 7 7 7 7 7 8 9 10 11 11 12 11 11 10 9 9 9 10 10 10 9 6 3 1 1 3 6 8 10 10 10 9 8 7 7 7 7 7 8 8 7 7 7 8 8 9 8 8 8 8 7 7 7 6 6 5 5 5 6 6 7 7 7 7 8 8 8 8 7 7 7 8 8 7 6 4 4 8 13 16 16 13 12 10 9 8 7 6 6 5 5 4 4 5 5 5 nan
nan 9 8 8 9 10 10 10 9 8 8 7 7 8 8 8 8 7 6 5 5 6 6 6 6 7 7 8 8 8 9 10 12 11 10 8 8 7 8 8 7 7 7 7 8 9 10 10 10 10 10 10 11 11 11 10 9 8 7 4 3 2 4 7 9 11 11 11 10 9 9 9 8 8 8 8 8 7 6 6 7 8 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 7 7 7 7 10 15 18 18 15 13 12 11 9 7 6 5 4 4 4 4 5 5 5 6 nan
nan 9 9 9 10 10 9 9 8 7 6 6 7 8 8 8 8 7 6 6 7 7 7 7 6 7 7 7 8 7 7 9 10 11 10 8 8 8 8 9 8 7 7 7 7 8 9 9 9 10 10 10 11 12 11 10 9 8 6 5 4 5 8 10 11 11 11 10 9 9 9 9 9 9 8 8 7 7 6 7 7 8 7 7 6 7 6 6 6 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 12 14 14 13 12 12 12 10 7 5 4 4 4 4 4 5 5 5 6 6 nan
nan 9 9 9 9 8 8 7 7 6 5 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 7 8 10 10 9 8 8 9 9 8 7 7 6 7 7 7 8 8 8 9 10 10 10 10 9 8 7 6 5 6 8 10 11 11 10 9 8 9 9 10 10 9 9 8 8 8 8 8 8 7 6 5 5 5 5 5 5 6 7 8 8 8 8 8 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 9 8 7 4 2 3 3 3 4 5 5 6 6 6 6 nan
nan 8 8 8 8 8 7 7 7 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 7 6 6 7 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 6 7 9 11 11 9 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 7 6 5 4 4 4 4 5 6 7 7 7 7 7 7 8 9 9 8 8 8 8 8 7 8 8 8 8 9 9 10 10 9 8 8 7 6 5 4 3 3 1 -1 -1 2 3 4 5 6 6 6 6 6 6 nan
nan 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 7 6 6 7 7 7 8 8 8 8 7 6 6 7 8 9 10 9 9 8 8 7 7 8 8 8 8 7 6 7 7 7 7 7 6 6 6 6 6 6 7 9 10 9 9 8 8 8 9 10 10 11 11 11 10 10 9 9 9 9 8 7 7 6 5 5 5 5 5 5 6 6 6 7 7 9 10 9 8 8 8 8 8 8 8 8 8 9 10 11 11 10 8 7 7 6 4 1 -1 -3 -3 -5 -6 -3 2 5 6 6 6 6 6 6 6 6 nan
nan 9 9 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 8 7 6 6 7 7 7 7 8 8 8 8 7 7 7 7 9 10 10 9 8 8 8 8 8 9 9 8 7 7 7 7 7 7 6 6 5 5 5 5 5 5 6 7 8 8 8 8 8 9 9 10 10 11 11 11 11 11 10 10 10 9 9 9 9 8 8 8 8 7 6 6 6 6 7 8 9 9 8 8 8 9 9 9 9 9 8 8 9 11 12 11 9 8 7 7 6 3 -0 -2 -3 -3 -4 -2 2 5 6 7 6 6 6 6 6 6 6 nan
nan 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 6 7 7 7 7 8 8 8 8 8 8 7 7 7 9 10 10 9 8 8 8 8 9 9 9 8 8 7 7 8 8 8 7 7 6 6 5 5 4 3 3 4 5 6 7 7 8 8 8 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 8 8 7 6 7 7 7 7 7 8 9 9 9 10 9 9 8 9 10 11 10 8 7 6 6 6 5 4 4 4 6 6 5 6 7 7 6 6 6 6 6 6 6 6 6 nan
nan 9 8 8 7 8 8 8 8 8 8 8 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 8 8 8 8 8 9 8 8 7 7 8 9 9 9 9 9 9 8 8 7 6 4 3 4 5 5 6 7 7 7 7 7 7 8 8 9 10 11 11 10 9 9 9 10 10 11 11 11 11 11 11 10 8 7 6 6 6 7 8 8 9 9 9 9 9 9 9 10 10 9 8 7 6 6 6 6 6 6 8 11 12 11 9 7 6 6 5 5 5 5 6 6 6 6 7 nan
nan 8 7 7 7 7 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 10 10 10 11 11 11 10 9 8 7 7 6 6 6 6 6 6 5 5 6 6 8 9 10 10 9 9 8 8 9 9 10 10 10 10 11 12 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 7 7 7 8 8 8 8 8 9 10 11 11 9 6 4 4 5 5 5 5 5 6 6 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
35 22 18 17 18 20 25 26 29 32 36 39 39 40 40 36 32 28 27 21 17 15 15 15 15 15 16 18 21 22 26 20 12 10 7 6 7 9 10 10 7 8 11 15 21 40 57 69 71 62 44 27 27 32 27 48 77 84 67 45 30 23 20 19 12 9 11 8 8 8 10 13 15 17 19 19 21 22 21 19 17 15 11 5 1 1 6 20 58 132 218 324 463 732 1210 1614 1664 1477 1266 1063 847 666 526 430 378 367 352 308 249 190 138 104 82 57 43 36 36 39 42 44 46 47 49 52 54 60 70 81 94 121 145 160 177 183 172
31 22 19 16 18 20 23 24 26 27 29 31 32 32 32 29 25 22 20 18 19 20 23 25 24 23 23 26 40 51 57 38 23 17 15 13 12 14 16 15 16 21 20 19 30 58 83 92 88 77 69 65 75 83 77 113 144 138 103 67 46 35 29 24 12 15 15 14 14 14 15 17 18 20 21 20 21 20 20 19 18 15 10 5 2 3 7 23 71 155 225 311 427 658 1041 1473 1770 1790 1641 1407 1125 900 750 650 592 577 556 501 438 367 275 185 139 98 70 60 58 58 59 60 58 59 61 66 71 76 80 82 93 116 144 172 186 196 174
32 26 26 24 24 22 20 19 19 20 21 22 25 26 25 24 22 20 21 22 24 27 35 43 40 33 36 40 55 67 71 55 38 27 21 20 21 28 49 45 53 54 42 38 48 67 81 80 68 56 57 77 121 164 177 189 186 165 122 70 45 33 37 32 28 25 19 17 18 20 22 25 28 28 24 18 18 18 20 21 20 18 19 23 22 8 14 30 88 185 262 343 467 667 961 1361 1732 1806 1654 1409 1168 1033 991 997 977 905 829 730 654 597 488 353 256 195 153 127 113 102 91 85 82 83 87 95 102 103 102 104 112 131 158 178 184 194 189
36 34 35 34 30 24 18 15 15 16 17 19 23 25 25 25 24 25 27 29 30 40 74 100 74 53 59 65 62 67 73 70 61 52 50 52 52 66 101 88 103 93 73 60 59 65 68 57 34 28 32 70 155 225 251 223 183 163 134 85 64 50 46 44 39 33 24 22 25 29 32 34 36 36 26 17 18 21 25 25 22 25 41 62 84 23 32 48 109 213 311 395 515 725 1011 1269 1366 1355 1280 1208 1122 1123 1198 1248 1238 1182 1093 960 882 801 696 568 448 357 281 225 201 179 159 143 128 126 127 136 141 136 133 135 140 151 171 187 193 196 202
41 40 40 37 30 24 19 17 18 19 22 25 27 29 29 29 30 32 34 35 38 63 117 143 96 71 80 88 75 61 56 59 69 74 76 95 114 136 165 146 118 95 70 49 44 54 60 49 31 39 41 49 105 199 229 195 152 127 109 76 48 31 32 32 42 37 29 27 28 34 38 39 40 41 29 25 28 32 34 30 27 42 88 67 211 125 65 71 141 260 372 459 593 817 1123 1180 956 847 984 1203 1342 1407 1454 1519 1503 1432 1337 1182 1068 932 828 765 708 616 495 388 338 306 274 233 204 196 189 189 196 195 187 194 191 204 221 243 259 258 253
43 42 40 34 25 21 19 20 22 26 28 30 32 34 34 34 36 37 39 54 55 65 102 96 65 40 59 78 74 60 43 38 50 62 67 90 109 118 122 116 86 57 38 25 28 49 69 83 98 123 140 156 199 200 157 106 68 50 53 35 17 14 21 31 44 48 45 42 40 41 42 44 45 45 38 36 37 39 39 34 31 46 94 62 187 196 104 86 166 297 425 554 720 912 1175 1273 1037 932 1061 1185 1228 1277 1378 1543 1732 1701 1517 1333 1161 1005 908 897 932 887 768 661 576 518 474 440 397 367 341 322 329 332 335 349 336 353 367 381 399 407 407
44 41 36 28 22 20 21 23 25 28 30 31 35 37 35 35 37 44 54 71 72 53 57 65 49 31 37 57 63 69 57 41 41 43 47 49 39 46 48 36 29 28 31 38 51 73 100 132 180 214 196 169 146 115 84 63 50 45 45 10 3 7 24 43 56 61 62 57 52 49 47 47 44 39 36 36 38 41 40 36 42 58 65 62 90 77 66 91 186 327 483 711 918 964 1207 1545 1437 1177 942 760 648 615 722 956 1334 1494 1442 1316 1167 1044 975 948 960 991 991 929 862 785 722 694 681 646 587 562 575 567 596 586 584 601 610 612 608 601 593
44 39 32 23 21 21 24 27 28 31 33 32 35 35 33 33 35 50 64 68 63 57 68 78 53 40 36 46 52 78 94 79 54 39 31 25 28 41 56 56 49 50 61 77 91 98 101 101 104 115 100 77 59 57 65 61 60 57 62 13 1 2 16 39 59 68 68 60 53 52 48 43 35 27 24 24 29 35 37 39 57 59 49 67 106 108 101 144 263 415 596 948 1114 948 992 1145 1009 677 437 355 306 279 325 450 728 958 1149 1218 1149 1058 999 1027 1084 1119 1146 1124 1072 999 945 931 950 910 828 796 786 786 810 858 888 882 876 860 839 827 829
42 35 26 19 18 22 27 29 31 34 38 35 36 34 30 30 33 43 62 84 103 118 131 122 96 77 63 59 64 79 78 53 42 44 54 53 43 44 50 54 58 63 68 72 76 70 53 37 22 21 24 25 34 57 76 55 41 25 26 7 1 1 8 26 49 62 60 51 47 47 42 34 24 18 17 18 20 26 30 45 59 44 38 69 179 255 231 262 409 600 813 1143 1095 814 646 576 490 365 290 306 278 244 242 291 395 566 817 990 996 989 964 1001 1050 1167 1241 1264 1241 1191 1119 1074 1083 1052 1012 982 982 981 997 1030 1049 1062 1066 1037 1010 1019 982
37 31 22 16 16 22 29 33 33 36 39 35 35 33 32 39 61 83 94 99 108 123 138 124 105 93 89 85 78 66 46 34 41 45 43 31 26 25 26 27 30 33 34 31 26 21 11 5 2 3 10 19 28 42 52 30 13 3 1 1 1 0 2 9 24 39 42 41 38 37 29 21 15 11 9 11 15 20 26 42 39 27 35 95 231 365 395 442 548 752 914 1010 819 526 336 284 283 289 313 342 325 318 333 335 308 327 434 553 594 575 649 876 977 1097 1135 1133 1148 1152 1115 1096 1040 1039 1063 1090 1108 1130 1199 1264 1248 1264 1256 1174 1130 1179 1147
27 21 15 12 16 22 29 33 32 35 35 34 34 34 34 35 40 55 70 72 79 82 91 82 67 61 70 75 66 49 39 47 47 31 23 21 19 16 14 13 11 8 7 7 2 2 1 0 1 5 11 15 25 37 11 8 3 1 4 14 12 2 1 4 11 23 30 29 27 26 21 16 11 8 8 8 10 13 19 24 19 15 29 101 257 427 493 606 571 641 658 580 422 280 217 214 232 260 290 304 332 401 492 499 410 360 368 390 403 257 422 636 708 723 732 751 793 846 878 901 906 959 994 1033 1077 1133 1207 1313 1412 1439 1383 1346 1347 1400 1425
12 8 9 12 17 22 24 27 30 32 32 32 33 33 34 39 51 63 69 66 65 64 66 65 55 47 47 55 54 41 38 41 29 15 10 7 4 3 3 2 1 0 0 1 0 0 0 0 0 3 7 8 10 9 3 3 2 3 8 24 36 32 16 3 9 16 18 18 17 16 14 11 8 7 6 7 8 9 9 8 7 9 20 74 210 402 464 557 470 404 333 253 184 154 173 193 203 206 218 253 297 369 460 535 579 611 625 623 606 563 606 575 501 467 457 483 536 605 668 702 736 795 842 886 947 994 1039 1132 1210 1314 1368 1414 1463 1512 1549
4 4 13 23 30 31 31 30 28 28 28 29 29 28 30 39 51 56 59 55 48 44 46 48 44 34 31 37 38 31 26 20 10 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 5 4 3 3 3 3 5 11 17 18 6 2 9 14 16 14 11 9 8 8 7 6 3 6 5 6 4 2 3 9 26 79 178 292 350 357 302 235 178 139 122 133 151 161 174 189 221 256 290 332 384 456 550 621 684 719 709 686 635 577 541 524 512 464 459 483 513 545 586 634 677 717 771 814 880 985 1038 1143 1225 1283 1332 1355 1381
6 17 37 57 69 68 59 44 29 25 25 28 29 28 28 33 39 43 44 41 33 31 31 24 21 18 16 16 16 14 9 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 4 3 1 1 1 2 3 3 1 3 11 14 13 10 7 6 7 7 7 6 3 2 3 3 2 1 4 12 32 87 162 216 239 238 216 184 155 138 143 158 167 175 184 205 249 296 336 370 399 408 444 502 514 554 566 551 551 565 547 520 495 454 426 411 392 389 407 433 466 513 545 584 672 758 824 893 968 1035 1086 1105 1113
24 35 52 70 88 103 96 53 31 24 22 26 28 27 25 26 28 33 38 30 18 11 10 7 5 5 4 4 3 3 1 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 1 2 0 1 6 10 10 10 8 6 5 6 6 6 7 5 2 2 1 0 2 7 16 37 86 137 180 206 221 210 183 167 161 167 167 170 169 182 205 245 295 338 369 394 421 441 445 439 426 399 375 369 368 377 383 378 376 371 360 344 330 319 317 329 358 357 350 377 424 484 544 595 651 683 672 694
57 51 26 25 54 92 116 63 36 25 23 24 24 22 22 22 23 22 16 10 5 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 1 0 2 4 5 5 5 4 4 4 5 5 6 7 6 3 1 0 0 3 10 16 33 63 114 175 214 220 199 170 161 162 162 158 159 160 165 175 194 220 249 286 310 345 348 338 316 293 270 238 221 208 223 249 272 276 271 263 252 248 254 264 288 286 270 262 262 257 257 268 276 342 399 393 384
52 52 37 26 39 61 88 55 29 22 22 20 19 19 19 17 15 11 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 1 2 3 4 3 2 2 2 3 4 4 6 7 7 4 0 0 0 2 6 14 28 64 123 176 197 182 154 138 136 148 143 137 132 127 126 128 131 141 158 181 198 212 217 208 185 162 146 130 118 112 119 132 148 155 153 149 142 138 154 167 185 194 202 213 222 223 221 233 236 267 333 377 411
34 22 28 33 42 47 53 35 21 20 18 16 14 13 11 7 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 1 2 2 2 2 2 1 2 4 4 5 6 4 2 0 0 0 1 3 13 29 65 117 151 153 133 114 106 103 109 103 94 85 78 75 76 72 76 79 86 91 87 92 94 86 72 63 63 58 51 48 58 71 77 75 73 71 63 70 79 86 95 104 114 129 145 150 152 159 186 233 272 304
24 15 18 23 29 35 40 36 26 21 15 11 7 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 1 1 1 1 1 2 1 1 4 5 5 4 2 1 0 0 0 2 6 13 27 53 84 107 110 97 84 77 72 68 59 50 43 38 35 35 34 35 34 37 37 38 43 42 40 39 34 35 35 34 35 38 39 39 38 38 38 34 35 38 38 38 40 46 54 54 64 71 72 79 99 119 137
8 5 5 7 13 24 37 38 32 24 17 10 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 1 2 2 4 5 4 2 0 0 0 0 1 4 8 13 22 40 64 82 84 75 67 58 49 41 34 28 22 20 20 19 19 20 22 24 25 25 27 27 27 28 25 25 26 28 30 32 33 30 28 28 27 26 27 29 30 31 31 30 30 28 32 33 30 30 36 48 60
3 1 2 5 10 22 34 32 25 19 14 9 5 1 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 2 4 5 4 2 1 0 0 0 0 0 3 6 11 16 25 43 67 66 60 50 41 34 28 24 20 17 15 14 14 14 15 17 20 22 23 25 29 26 26 25 24 24 26 28 29 32 30 29 29 27 26 25 26 29 31 31 29 28 27 27 26 25 25 29 36 49
4 0 0 2 9 20 25 21 16 13 11 8 5 4 3 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 1 3 4 2 1 0 0 0 0 0 0 1 3 7 12 20 38 53 54 51 41 33 29 26 23 20 17 13 11 12 11 11 12 15 16 18 22 26 25 23 22 20 20 23 24 24 27 29 31 31 29 27 26 26 27 29 29 30 31 30 30 30 28 27 30 34 44
5 0 0 1 6 12 12 11 12 11 8 5 4 7 5 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 1 0 1 2 1 0 0 0 0 0 0 0 0 0 1 3 9 18 33 44 48 48 40 33 29 24 20 18 15 12 10 9 8 6 7 9 11 13 17 21 21 20 17 15 15 15 16 16 19 23 25 25 23 20 20 22 23 25 28 30 30 31 31 29 27 26 30 34 42
3 0 0 0 2 4 4 5 5 4 2 2 1 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 15 24 37 43 44 41 36 31 24 18 16 14 10 6 5 5 5 5 5 5 7 12 16 18 17 14 13 13 11 10 11 13 15 15 13 11 11 11 12 16 18 20 22 23 25 27 25 24 24 27 31 37
0 0 0 0 0 0 1 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 22 32 38 41 40 35 31 26 20 16 13 8 5 4 5 5 5 5 5 7 10 12 14 14 13 11 10 10 10 9 8 8 9 8 9 8 6 8 11 13 13 13 15 17 18 20 20 21 22 24 28
0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 20 26 32 36 34 31 29 24 19 14 11 7 4 4 5 5 5 5 6 8 10 12 12 12 11 10 10 9 8 7 6 6 6 6 6 7 6 5 7 8 9 8 10 11 13 15 16 16 17 19 21
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 14 18 23 27 24 23 22 19 16 12 8 4 4 5 6 6 6 5 5 7 9 11 11 11 10 7 6 5 5 6 5 5 5 5 6 7 6 6 5 6 6 6 6 7 9 11 12 12 13 13 13
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 0 0 0 0 0 0 0 0 0 0 0 1 4 7 11 14 17 17 17 17 16 13 8 5 3 4 6 7 7 6 5 5 6 7 8 8 7 7 5 4 4 4 4 3 4 4 5 5 5 5 5 4 5 5 4 3 4 5 7 8 8 8 7 6
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