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 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 4 4 5 6 6 7 7 7 6 6 6 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 4 4 4 3 3 2 2 3 4 6 7 8 10 13 13 11 9 9 10 9 9 9 8 7 6 5 4 3 3 4 5 5 5 2 -0 0 3 5 6 7 8 9 12 13 14 13 12 13 16 21 23 22 19 18 18 18 17 14 12 12 12 13 15 16 15 13 10 8 7 7 7 7 7 6 6 6 5 5 5 5 5 5 4 3 3 2 3 nan
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nan 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 5 5 5 5 5 6 6 7 8 7 7 6 6 5 5 4 4 4 4 5 5 6 6 6 6 6 6 6 5 5 4 4 3 3 3 2 2 3 5 7 8 8 8 8 9 9 10 11 12 11 10 8 7 6 5 5 4 4 4 6 6 7 7 6 3 1 1 4 7 8 9 13 19 24 27 25 20 16 16 18 16 14 15 17 19 20 20 18 17 16 17 18 21 24 27 30 29 25 19 14 10 9 9 9 8 8 8 7 7 6 7 7 6 6 6 5 4 4 nan
nan 4 4 4 4 4 4 4 5 5 5 6 6 6 6 5 5 4 5 5 6 6 7 8 7 7 6 5 5 4 4 3 4 4 5 6 6 6 6 6 6 6 6 5 5 4 4 3 3 3 2 2 3 4 6 8 8 9 9 9 7 7 9 10 10 10 8 8 7 7 6 5 4 5 6 7 7 7 8 7 4 2 3 7 8 8 10 13 18 23 24 21 16 15 19 20 16 13 12 13 14 14 14 13 13 14 15 16 19 22 26 29 32 30 24 18 14 12 13 13 13 13 12 11 9 8 7 7 7 8 7 7 6 6 nan
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nan 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 6 7 8 9 9 8 8 7 7 6 6 6 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 6 6 6 6 6 6 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 7 4 0 -1 1 4 5 6 7 7 6 6 6 5 4 4 4 4 5 5 5 6 6 6 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 nan
nan 8 8 8 8 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 6 6 7 7 8 9 9 8 8 8 7 6 6 6 6 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 6 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 7 6 3 0 0 1 3 4 6 6 6 5 5 5 4 4 4 4 5 5 5 5 6 6 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 nan
nan 8 8 8 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 9 9 9 9 8 8 7 7 6 6 6 7 7 7 8 8 8 9 9 9 9 9 9 9 10 9 9 8 8 8 8 7 7 7 8 8 8 8 7 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 7 7 6 4 2 1 1 3 4 4 4 3 3 4 4 4 4 4 4 4 5 5 5 6 6 7 7 7 8 8 9 8 8 8 7 7 7 7 7 8 8 8 8 7 nan
nan 8 8 8 8 8 7 7 7 7 7 7 7 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 8 7 6 6 5 6 7 8 8 8 9 9 9 9 8 8 9 10 10 10 9 9 9 9 8 8 8 8 8 9 9 8 7 5 5 5 5 6 7 7 7 7 7 7 7 7 8 9 9 9 9 9 8 7 6 7 7 7 5 3 3 3 4 4 3 1 1 2 4 4 4 4 4 4 4 5 5 5 6 6 7 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 nan
nan 8 8 9 9 8 7 6 7 7 7 7 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 8 7 7 7 8 9 10 11 10 9 8 7 6 6 7 7 8 8 9 9 9 9 8 7 8 10 11 10 10 9 9 9 9 9 9 8 8 9 9 9 8 7 6 5 5 5 6 6 6 7 7 8 7 7 7 8 9 9 9 9 9 8 7 6 6 7 7 7 6 6 6 6 6 3 0 -1 0 3 4 5 5 5 5 5 4 5 5 5 6 7 7 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 nan
nan 8 8 9 9 8 6 6 7 7 7 8 8 8 8 7 7 6 6 6 7 8 8 9 9 10 10 8 8 7 7 7 8 10 11 10 9 8 7 7 7 8 8 9 9 9 9 8 8 7 8 9 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 8 7 6 6 6 6 6 6 6 7 7 7 7 7 7 8 9 9 10 9 9 8 7 6 6 6 6 6 7 8 8 7 7 5 2 -2 -1 2 4 5 5 5 5 5 5 4 5 5 6 6 7 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 nan
nan 8 8 8 8 7 6 6 7 7 7 8 8 8 8 7 7 6 6 6 7 7 8 8 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 8 9 10 11 11 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 6 6 7 7 7 7 7 7 8 9 9 10 10 9 7 6 6 5 5 6 6 7 7 7 7 7 6 4 1 0 1 2 4 5 6 6 5 5 5 5 5 5 6 7 8 8 9 9 8 8 7 7 7 7 7 7 7 6 6 6 nan
nan 8 8 9 9 7 5 6 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 6 5 6 6 6 6 6 6 6 6 7 8 9 9 10 10 10 9 7 7 7 7 8 8 9 10 9 9 8 8 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 7 8 9 9 9 8 6 6 5 5 5 6 6 7 7 7 7 7 6 5 4 3 1 1 2 4 5 6 6 6 6 5 5 5 6 7 8 8 8 8 8 7 7 7 6 6 6 7 7 6 6 6 nan
nan 8 8 9 8 6 5 5 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 7 6 6 5 5 5 6 6 6 6 5 5 5 7 8 9 9 10 10 9 8 6 6 6 7 8 9 9 9 9 8 7 6 6 7 7 9 9 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 6 6 6 6 7 8 8 8 7 6 5 5 5 5 6 6 7 7 8 7 7 6 6 6 5 3 2 2 2 4 5 6 6 6 6 5 5 6 7 7 8 8 8 8 7 7 7 7 6 6 7 7 6 6 6 nan
nan 8 8 8 8 6 5 5 7 8 7 7 7 8 8 7 7 8 8 9 9 8 8 7 7 6 5 5 6 6 6 6 6 6 5 4 6 7 8 9 10 10 9 7 6 6 7 8 9 9 9 9 9 8 7 6 5 5 6 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 6 5 5 5 6 7 7 8 8 7 6 5 5 6 6 6 7 7 8 8 8 7 6 6 6 6 5 4 3 2 2 4 5 7 7 7 6 6 6 6 6 7 8 8 8 7 7 7 7 7 7 7 7 6 6 6 nan
nan 8 8 8 7 6 5 6 7 7 7 6 7 7 8 8 9 9 9 9 9 9 8 8 7 7 7 7 6 6 6 7 7 6 5 5 5 6 7 8 9 10 9 7 7 7 8 9 9 9 9 9 8 8 7 7 6 5 5 5 6 6 7 7 7 8 9 8 8 8 9 10 9 8 8 7 7 6 5 4 4 5 6 7 7 8 7 6 6 6 6 6 7 7 7 8 9 9 8 7 6 6 6 6 6 6 5 4 3 3 5 7 8 8 7 5 4 4 5 6 7 8 8 7 7 7 7 7 7 7 7 7 6 6 nan
nan 8 8 7 6 6 6 6 7 7 6 6 6 7 8 10 10 10 10 9 8 8 8 8 8 7 7 6 6 6 6 7 8 7 7 7 6 6 6 8 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 5 6 6 5 5 7 8 8 8 8 9 9 9 8 8 8 7 6 4 4 4 6 7 7 8 8 7 7 7 7 7 7 7 7 8 9 9 8 7 6 6 6 6 6 6 6 6 5 5 4 5 6 8 8 6 3 0 1 4 6 7 7 8 8 8 8 8 7 7 7 7 7 6 6 nan
nan 8 8 6 5 6 6 7 7 7 6 6 6 7 9 10 11 10 9 9 8 8 8 7 7 6 6 6 5 5 6 7 8 8 9 9 8 7 6 8 10 10 9 9 9 9 8 8 7 7 7 7 8 8 9 10 10 9 8 7 6 5 4 4 4 6 7 8 7 8 8 9 9 8 8 8 8 7 6 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 6 6 7 7 6 6 6 7 7 6 6 6 6 7 6 3 -2 -5 -1 3 5 7 7 8 8 8 8 8 7 7 7 7 6 6 6 nan
nan 8 7 6 5 6 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 7 7 7 7 6 5 6 6 6 6 6 7 8 9 9 9 7 7 8 10 10 9 9 9 8 8 7 7 7 7 8 8 9 9 10 11 10 9 7 6 5 4 4 4 5 6 7 7 8 8 8 8 8 8 9 8 8 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 8 7 7 7 6 6 4 -1 -5 -5 -0 4 5 6 7 7 8 8 8 8 8 7 7 6 6 6 6 nan
nan 7 6 6 6 6 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 6 6 6 6 7 8 7 6 6 7 9 10 10 9 8 8 8 7 7 7 8 9 9 8 8 10 10 10 9 7 6 5 4 5 5 5 5 6 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 7 6 2 -3 -5 -2 3 5 6 7 7 7 8 8 8 8 7 7 7 6 6 6 6 nan
nan 7 6 6 6 7 8 8 8 8 8 7 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 5 5 6 9 10 10 9 8 7 7 6 7 8 9 9 8 8 8 9 9 9 8 7 6 6 6 6 6 6 5 6 7 8 8 8 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 6 2 -3 -3 2 6 7 7 6 7 7 7 7 8 8 7 7 6 6 6 6 6 nan
nan 6 6 6 6 8 9 9 9 8 7 7 7 7 8 7 7 6 6 7 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 5 5 5 7 10 10 10 8 7 7 6 7 7 8 8 8 7 8 8 8 8 8 7 7 6 6 6 7 7 6 7 7 7 7 6 7 7 8 8 8 8 8 7 8 9 10 11 10 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 8 6 3 -0 2 7 10 9 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 nan
nan 6 6 6 7 8 9 10 9 9 7 6 6 7 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 7 8 8 7 6 6 7 7 7 6 5 6 8 9 10 10 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 6 6 5 6 7 8 8 7 6 6 6 7 9 10 10 9 9 9 9 9 9 9 9 8 9 9 9 9 10 10 10 10 10 10 9 9 9 8 7 7 7 8 8 7 5 4 8 11 11 9 8 7 7 6 6 6 6 7 7 7 6 6 6 7 7 nan
nan 5 6 7 8 9 10 10 9 8 6 5 6 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 6 6 7 8 9 8 7 5 5 6 8 9 10 10 9 8 8 8 7 7 6 6 6 7 7 8 8 8 7 7 8 9 9 9 8 7 7 7 6 6 6 7 7 7 6 6 6 6 8 8 9 8 8 8 8 8 9 9 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 7 7 8 8 7 7 9 10 10 9 9 8 6 5 4 4 5 6 6 6 7 7 7 7 7 nan
nan 5 7 8 9 10 10 9 9 7 5 4 6 7 8 8 8 8 8 7 8 8 9 8 8 7 7 6 7 7 7 6 5 6 8 9 9 8 8 6 5 5 6 8 10 10 11 11 10 9 8 7 6 6 6 7 9 10 10 10 8 8 9 10 10 9 9 8 8 8 7 7 7 7 7 6 6 5 6 7 7 7 7 7 7 8 7 8 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 8 7 7 8 8 8 8 7 5 3 1 2 4 5 6 6 7 7 7 7 7 nan
nan 5 7 8 9 10 10 9 8 6 4 4 5 7 8 8 8 8 8 8 8 9 9 9 8 8 7 6 6 6 6 6 6 7 9 10 10 9 8 7 6 6 6 7 8 10 11 12 12 10 9 8 8 8 8 10 11 12 12 11 9 8 8 9 10 10 9 9 9 9 8 8 7 7 7 6 5 5 6 7 7 7 6 7 7 7 7 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 9 8 7 7 7 6 4 3 2 -1 -2 1 4 5 6 7 7 7 7 7 7 nan
nan 5 6 8 9 10 10 10 8 5 3 4 5 6 8 8 8 8 9 9 8 8 8 8 8 8 7 7 7 6 7 7 8 9 10 10 10 9 8 7 7 7 6 6 7 9 10 11 11 10 10 11 11 12 12 12 13 13 13 11 9 7 7 8 9 9 9 10 10 10 9 9 9 9 8 8 7 6 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 8 6 3 -0 -2 -3 -4 -5 -3 1 4 5 6 6 7 7 6 6 6 nan
nan 5 6 7 9 10 10 10 8 5 4 4 5 6 7 9 9 10 9 9 8 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 9 8 8 7 7 7 7 6 6 7 8 8 9 10 11 12 12 13 14 14 14 14 13 11 9 7 7 7 8 8 9 9 9 10 10 10 10 10 10 9 9 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 11 11 11 10 10 10 10 10 9 9 9 10 9 7 4 1 -2 -4 -4 -4 -3 0 3 5 6 6 7 7 6 6 6 6 nan
nan 6 6 7 8 9 10 9 8 6 5 5 5 6 7 9 10 10 10 8 7 7 7 7 8 8 9 10 10 10 10 10 10 9 8 7 7 7 7 7 7 7 7 6 6 6 6 6 7 8 9 10 10 11 12 13 14 14 13 12 10 9 9 8 8 8 8 8 8 9 10 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 10 10 11 11 11 11 10 10 9 9 8 8 8 8 7 6 5 4 3 2 2 1 2 4 5 5 6 6 6 6 6 6 6 6 nan
nan 6 6 7 7 8 9 8 8 7 6 5 5 6 7 8 10 10 9 8 7 7 8 8 8 8 9 10 11 11 10 10 9 9 8 7 7 8 8 8 8 7 7 6 6 6 6 6 5 6 6 7 8 8 8 10 12 13 13 12 11 10 9 9 9 9 8 8 8 8 8 10 11 10 9 9 10 10 10 10 9 9 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 10 10 10 11 11 11 10 8 8 8 8 9 8 6 6 7 8 9 9 7 5 4 4 5 6 6 6 6 6 6 6 6 6 nan
nan 7 7 6 7 7 8 8 7 7 6 5 5 5 7 9 10 10 9 8 7 8 9 9 8 8 8 9 10 9 9 9 9 9 8 8 8 8 9 9 9 8 7 7 7 7 7 7 6 6 6 7 7 7 7 7 8 9 11 11 11 9 9 9 10 10 9 8 7 7 7 8 8 9 9 10 11 11 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 8 8 8 8 9 8 8 9 10 11 11 10 9 8 8 9 10 9 8 8 8 9 10 9 6 3 3 4 6 6 7 7 7 6 6 6 6 6 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
29 32 36 42 40 38 39 40 39 44 47 44 41 40 40 44 47 41 31 19 10 7 11 21 31 37 45 49 52 56 55 61 67 72 74 86 84 60 44 53 99 152 119 68 104 174 201 208 196 160 108 59 28 11 7 2 1 10 22 32 38 41 39 30 30 40 44 36 28 22 18 21 29 34 33 29 21 6 2 2 1 4 30 61 72 79 102 130 133 119 129 162 238 398 608 719 704 687 707 606 380 261 241 215 189 170 166 180 198 212 217 204 169 135 103 81 65 58 55 54 59 66 76 85 83 84 102 126 135 122 114 126 141 159 173
32 36 35 41 38 38 39 39 39 42 44 42 40 48 90 183 59 52 31 15 6 4 12 29 52 74 82 70 74 68 59 70 74 69 60 51 36 18 6 5 16 35 23 10 26 58 79 75 63 57 43 19 4 0 1 0 8 22 26 23 30 38 28 25 27 37 42 34 25 26 28 28 27 25 20 16 8 2 1 1 0 9 47 86 91 95 126 166 202 201 214 269 334 417 528 644 685 604 590 489 351 301 317 311 292 257 240 266 300 329 375 383 325 258 194 144 110 86 70 73 67 72 81 95 100 104 117 138 147 139 125 118 131 147 179
30 31 30 35 33 34 37 35 36 39 42 44 51 62 80 184 76 53 32 19 14 19 30 54 95 138 148 104 105 86 74 79 72 48 24 9 3 1 1 1 0 7 6 13 26 39 44 38 30 30 16 3 0 0 0 2 17 23 13 8 14 24 18 26 31 35 38 32 25 27 28 24 18 11 7 5 1 0 0 0 0 19 73 131 153 153 194 264 361 445 543 654 704 650 592 661 685 545 542 522 476 409 455 587 542 338 283 316 356 380 452 567 553 442 318 221 165 128 101 106 98 98 98 103 108 109 114 125 133 128 121 119 141 161 212
23 25 26 30 28 28 27 27 30 35 41 58 95 109 75 92 56 43 32 28 31 39 64 116 171 196 206 141 116 91 71 60 42 20 5 1 1 1 1 2 1 1 4 15 28 32 29 29 27 21 5 0 0 0 0 4 12 10 1 1 3 6 13 26 30 26 27 21 15 15 14 10 6 1 1 0 0 0 0 0 0 17 80 185 236 236 328 514 725 923 1129 1284 1219 983 977 1055 921 674 591 598 582 489 439 425 349 284 293 351 367 387 446 562 636 602 485 327 248 199 171 165 164 160 148 138 129 122 119 121 118 112 126 139 163 186 238
38 32 25 32 26 26 33 33 32 37 53 90 135 165 111 65 47 38 33 33 38 58 121 219 287 261 228 157 102 67 46 30 15 4 2 2 1 1 1 2 2 2 5 11 17 19 15 13 7 3 0 0 0 0 0 1 3 1 0 0 0 0 8 20 26 20 14 9 6 4 3 1 1 0 0 0 0 0 0 0 0 11 67 234 316 398 578 860 1138 1321 1446 1479 1271 997 1300 1574 1337 899 663 601 531 425 367 300 218 244 372 452 462 490 549 644 694 706 724 511 382 297 270 265 289 308 292 250 201 160 130 109 123 125 146 172 192 206 237
45 41 24 33 25 31 49 45 36 42 75 140 183 175 109 48 29 32 36 41 46 93 211 325 383 340 238 145 71 38 25 13 3 0 0 0 0 1 1 2 1 2 4 6 7 7 4 2 0 0 0 0 0 0 0 3 6 3 0 0 0 1 7 15 19 12 5 3 2 2 1 0 0 0 0 0 0 0 0 0 0 9 79 294 493 674 904 1107 1192 1164 1088 962 756 697 1127 1412 1421 1125 855 712 597 455 389 416 280 380 483 518 567 621 630 629 641 650 800 630 469 396 399 461 543 593 578 501 377 234 177 145 142 151 171 196 216 227 245
46 47 25 31 32 48 58 53 45 53 94 157 178 117 77 37 35 53 54 71 118 210 356 417 387 321 180 85 34 16 10 4 0 0 0 0 0 0 0 0 1 1 1 2 3 2 1 0 0 0 0 0 0 0 0 2 4 1 0 0 0 0 5 10 9 5 2 1 1 0 0 0 0 0 0 0 0 0 1 7 35 72 192 383 681 959 1164 1132 900 677 538 445 396 470 587 640 851 981 915 818 764 624 438 581 399 497 463 445 496 551 552 509 504 512 566 490 414 422 505 660 817 872 911 951 772 391 259 200 177 178 188 203 229 261 297
56 58 52 47 50 57 59 57 54 62 104 155 188 105 96 66 94 141 126 118 184 270 338 361 263 180 54 15 8 6 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 2 4 0 2 3 2 1 2 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 6 60 271 575 672 578 772 1155 1258 966 602 399 336 317 352 352 393 391 405 425 477 570 639 500 399 412 302 259 290 341 377 385 372 348 340 379 393 384 368 409 512 662 802 882 1035 1333 1097 640 380 287 263 258 264 270 298 333 406
71 60 63 60 63 61 57 61 68 90 154 192 197 188 210 220 342 379 247 124 146 217 234 191 130 62 17 3 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 2 9 2 8 15 13 5 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 20 147 525 1042 1270 1115 1150 1337 1188 775 465 369 370 345 432 572 751 831 661 352 224 290 370 317 328 300 240 214 240 282 295 265 238 228 233 265 299 326 337 357 427 572 743 758 882 1122 1006 739 516 416 403 402 433 477 514 553 694
85 82 87 86 88 105 120 121 130 206 412 464 430 415 446 494 514 386 193 93 83 123 159 82 48 16 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 1 10 9 18 25 22 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 31 181 477 919 1280 1383 1375 1289 972 599 434 390 393 376 503 873 1354 1495 1157 588 278 267 289 305 320 274 223 203 204 219 230 224 204 191 194 204 242 276 291 315 371 446 545 708 736 760 736 677 607 546 520 555 608 701 812 832 913
113 109 116 115 126 190 239 229 260 413 693 691 617 606 633 600 429 221 124 129 154 178 112 40 11 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 1 6 12 17 18 16 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 21 136 321 540 718 819 835 690 487 385 381 354 354 347 402 546 746 959 984 627 378 334 334 327 302 262 234 214 194 189 184 172 157 167 179 185 196 217 242 263 321 451 560 620 598 551 540 569 585 582 602 627 624 678 763 776 784
133 123 151 161 177 249 319 353 452 664 797 665 617 658 636 486 265 111 94 130 113 59 12 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 2 3 6 7 8 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 19 116 247 344 377 366 350 333 304 289 268 260 257 246 242 252 262 307 398 377 325 321 311 313 316 307 299 267 219 197 164 138 128 133 140 143 150 168 196 224 275 392 504 537 503 452 430 436 458 508 524 535 518 516 521 516 530
165 162 204 235 259 307 392 511 663 812 693 603 543 620 539 345 188 116 100 77 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 1 3 6 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 13 47 120 200 264 310 327 343 314 275 224 190 181 167 142 128 142 197 263 296 293 270 250 237 261 300 321 318 282 212 183 151 127 117 117 122 134 148 157 173 193 220 284 349 399 413 394 371 346 353 391 401 420 426 420 415 428 436
208 202 206 232 281 363 487 635 740 749 555 547 524 545 444 279 160 84 34 11 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 1 4 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 20 63 102 131 171 227 227 256 257 227 192 166 147 122 92 81 91 136 229 308 317 294 269 249 235 234 244 259 218 159 141 128 114 110 118 122 131 144 150 154 160 190 246 282 291 304 306 306 300 309 321 341 355 359 357 349 361 375
226 227 201 207 279 403 563 733 770 655 549 541 560 510 366 205 91 31 8 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 28 45 60 88 147 183 194 188 180 171 148 122 102 83 73 75 87 130 198 230 248 256 234 186 157 147 146 136 115 107 104 97 92 95 101 105 110 116 122 125 164 216 222 229 243 233 236 231 228 236 250 260 267 269 269 294 306
198 209 234 277 355 472 591 719 725 612 559 541 514 414 262 122 37 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 19 23 39 81 117 124 126 123 113 100 91 83 76 73 72 80 86 110 137 151 151 133 103 99 90 88 85 80 79 80 80 74 75 78 76 77 80 84 84 92 106 117 142 152 158 164 162 160 160 159 159 158 161 170 174 179
103 121 193 268 348 451 509 559 576 560 549 514 443 321 176 64 20 22 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 0 0 0 0 0 0 0 0 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 13 23 21 15 14 22 43 82 97 95 91 85 77 70 66 69 77 80 90 102 108 104 93 85 76 69 69 65 63 62 61 60 62 62 60 59 58 57 57 59 58 56 55 52 50 81 88 96 102 102 96 87 86 84 80 84 87 93 96
21 38 66 114 203 315 379 423 480 514 547 507 396 264 146 50 15 13 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 0 0 0 0 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 20 29 24 19 19 22 32 48 60 68 67 63 61 59 59 64 74 82 90 95 97 93 79 76 70 63 58 54 53 53 53 52 53 53 53 52 52 52 52 51 49 46 48 49 46 52 56 58 61 62 56 51 48 43 39 42 41 46 49
2 8 17 40 96 183 262 353 440 481 525 475 349 227 131 50 16 12 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 2 9 21 26 26 30 32 32 34 42 50 54 55 56 57 58 59 61 65 70 73 75 78 85 80 79 76 70 61 53 50 50 49 47 45 45 46 45 45 46 47 48 46 43 45 46 45 46 46 45 44 46 43 40 38 36 32 30 27 28 32
3 2 5 17 48 99 175 300 387 433 468 423 329 240 147 60 19 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 18 29 28 33 41 45 43 41 44 50 55 58 59 61 62 62 60 57 57 58 56 60 64 69 74 78 75 65 54 49 48 47 43 41 40 39 38 38 39 40 43 43 41 42 42 42 43 42 41 41 41 39 38 40 41 39 35 30 27 27
3 2 3 8 20 50 123 236 322 374 409 402 348 254 136 56 9 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 0 0 0 0 0 0 0 0 0 0 2 11 29 35 35 40 48 54 55 52 51 58 62 64 65 66 63 61 58 55 50 48 46 47 51 55 60 66 67 64 56 49 46 43 39 37 36 35 33 32 32 32 35 36 36 37 38 39 39 39 38 38 37 36 40 44 43 41 37 34 29 27
2 2 2 3 10 32 99 196 272 330 381 383 311 199 95 32 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 0 0 0 0 3 15 28 34 40 44 48 56 63 62 59 61 62 65 63 59 55 53 50 46 43 43 41 40 40 42 45 50 54 55 53 54 45 39 35 34 34 32 30 30 27 26 29 30 32 34 36 36 36 36 36 36 38 41 45 46 43 41 38 36 33 28
1 2 2 3 11 33 91 175 252 331 394 380 271 148 59 18 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 0 0 0 0 2 16 22 29 39 45 49 55 63 64 63 64 66 66 60 52 46 42 39 35 35 35 36 35 34 34 34 36 39 41 38 48 42 36 32 30 29 28 24 26 26 24 25 26 28 30 31 32 32 33 33 35 38 42 44 45 44 41 39 36 34 30
2 2 2 3 9 30 80 158 247 357 416 355 222 108 34 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 0 0 0 0 0 0 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 16 25 37 47 52 55 59 62 63 64 66 64 57 47 38 33 29 26 25 26 28 27 25 23 22 22 24 28 28 32 33 33 30 26 26 24 18 18 18 20 20 22 23 24 25 26 26 28 28 29 31 36 40 42 42 39 37 35 33 31
2 2 2 3 5 17 63 154 309 426 415 303 178 91 35 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 0 0 0 0 0 0 0 0 0 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 5 10 19 32 43 49 51 50 56 60 59 57 54 48 40 32 28 25 23 22 20 18 16 15 13 13 13 15 16 18 21 22 23 22 18 17 15 14 14 14 14 14 16 17 17 19 19 19 20 20 21 24 27 31 36 36 34 32 30 28 25
2 2 2 3 3 12 80 209 359 427 370 245 132 74 46 12 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 3 9 18 28 38 47 49 50 52 51 47 43 39 34 29 25 20 17 13 10 7 7 7 6 4 5 7 10 12 10 8 9 9 8 9 10 11 12 11 10 10 11 11 10 12 12 12 12 13 14 16 20 24 28 28 26 22 19 19 18
2 2 2 2 2 30 139 275 370 370 276 147 55 28 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 0 0 0 0 0 0 0 0 0 2 5 11 20 32 36 38 38 38 37 35 32 27 21 16 11 7 4 1 0 0 2 1 0 1 1 0 3 4 1 1 1 2 3 7 8 7 6 7 8 9 9 9 9 9 9 9 10 10 11 14 17 16 14 13 11 9 9 8
2 2 2 2 2 52 166 254 253 191 122 39 4 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 1 2 6 12 18 23 26 27 27 25 22 16 11 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 5 7 8 8 8 8 8 9 9 9 9 9 10 9 8 7 6 6 6 6 6
2 2 1 1 1 44 124 158 107 34 16 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 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 9 12 13 14 10 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 4 5 6 6 7 7 7 8 7 7 7 7 7 6 6 6 6 5 5 5 6
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