Vorticity
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nan 4 3 2 2 2 3 6 9 13 17 18 16 13 10 8 6 4 4 5 5 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 7 7 7 7 8 9 10 10 9 8 8 8 7 6 6 5 6 7 8 8 7 6 6 6 5 3 1 -1 0 4 6 7 6 7 11 16 15 11 7 5 4 3 3 3 4 4 4 5 5 4 4 4 5 6 6 6 6 6 6 6 7 7 8 8 8 7 8 8 8 8 7 7 7 7 8 8 7 6 6 6 nan
nan 4 3 2 2 3 5 9 14 19 23 23 20 15 10 7 6 5 5 5 6 6 7 7 7 7 8 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 9 8 8 8 8 8 8 8 7 7 7 6 7 8 9 9 8 7 7 6 6 6 6 6 7 8 8 7 7 7 6 5 4 1 -1 1 4 7 7 6 6 7 8 9 8 7 6 5 3 3 3 3 4 4 4 4 4 4 5 7 8 8 7 7 7 7 9 10 11 11 11 12 12 12 12 11 10 10 9 9 8 9 8 7 6 7 7 nan
nan 4 3 2 2 4 8 12 16 18 19 18 14 10 7 5 5 5 6 6 6 7 7 7 7 7 8 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 7 7 6 5 5 7 9 9 7 6 6 6 6 7 7 7 7 7 7 7 7 6 4 3 1 -0 2 5 6 7 7 6 5 5 5 5 6 6 5 4 4 4 4 4 4 4 4 4 5 8 11 13 11 10 10 11 13 16 18 18 16 17 19 21 21 20 17 16 16 17 17 15 13 9 7 7 8 9 nan
nan 4 3 2 3 5 8 12 13 13 12 9 7 5 5 5 5 6 7 7 7 6 6 6 7 7 7 7 6 6 5 5 5 5 5 6 6 6 7 7 7 8 8 8 8 9 9 10 10 10 11 11 11 10 9 8 8 9 8 6 4 5 8 8 7 6 6 6 6 6 7 8 8 8 7 7 7 5 3 1 -1 0 3 5 6 7 6 6 5 4 4 4 5 5 5 5 5 5 4 4 4 4 5 5 7 12 16 16 14 13 15 18 21 24 25 23 21 21 26 31 31 26 22 22 25 31 35 32 21 12 10 9 9 10 nan
nan 4 3 2 3 5 7 9 9 8 6 4 3 3 4 5 6 7 8 7 7 6 6 7 7 7 7 6 6 5 5 5 5 5 5 6 6 7 7 8 9 9 9 9 9 10 10 11 11 11 12 12 12 11 10 9 9 11 11 10 7 5 6 6 5 6 6 6 5 5 6 7 8 8 8 7 6 5 2 -1 -2 0 4 5 6 6 6 6 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 7 11 15 15 15 16 19 21 24 25 24 22 20 21 25 29 29 24 21 23 30 42 52 46 29 18 13 11 11 11 nan
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nan 7 8 8 8 9 10 9 7 6 6 7 7 7 7 7 7 7 7 7 7 8 8 7 5 4 5 7 8 9 9 9 8 8 7 6 6 7 7 8 8 8 9 9 8 7 6 6 7 8 8 7 7 8 9 9 9 8 8 7 7 6 6 7 7 7 7 7 7 8 9 8 8 8 8 7 7 7 7 8 9 9 9 9 9 10 10 10 9 9 7 3 -2 -5 -3 1 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 7 7 8 8 9 9 9 9 9 9 8 8 7 7 7 7 6 6 6 6 6 6 6 nan
nan 8 8 8 9 10 10 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 5 5 6 7 8 9 10 9 9 8 7 6 7 7 6 6 7 8 8 8 7 6 6 6 7 7 7 7 8 9 8 8 8 7 7 7 7 7 8 9 9 8 8 7 7 7 7 7 7 7 7 6 6 6 7 8 8 9 9 9 9 10 10 10 10 8 6 1 -4 -5 -4 -1 1 2 3 3 4 4 5 5 5 5 5 5 6 6 6 7 7 8 9 9 9 9 9 9 8 8 7 7 7 7 6 6 6 6 6 6 6 nan
nan 8 9 10 10 10 10 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 5 5 6 7 9 10 10 9 9 8 7 7 6 6 6 6 7 8 8 7 6 6 6 6 6 6 7 8 9 8 7 7 7 7 7 7 7 8 9 9 9 8 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 5 1 -3 -4 -4 -2 -1 -0 0 1 3 4 5 6 6 5 5 5 5 6 6 7 7 8 9 9 9 9 9 8 8 7 7 7 7 7 6 6 6 6 6 6 nan
nan 8 10 11 11 10 9 8 7 6 7 7 7 8 7 7 7 7 7 7 8 8 8 8 8 8 7 6 5 6 8 9 10 10 10 10 9 8 7 6 6 6 7 7 7 7 6 7 6 6 6 6 7 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 7 6 6 6 6 6 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 4 1 -1 -1 -1 -1 -1 -1 -0 3 5 6 6 6 6 5 5 5 6 6 7 8 8 9 9 9 9 8 8 7 7 7 7 7 6 6 6 6 6 6 nan
nan 9 10 10 10 10 8 7 7 7 6 7 7 7 7 7 7 6 6 7 7 8 8 9 9 9 8 7 6 6 7 8 9 11 12 12 11 9 8 8 7 7 7 7 7 6 6 6 6 5 6 7 8 7 7 6 7 7 7 7 8 8 8 8 9 9 9 9 8 7 6 6 6 7 7 7 8 8 8 8 7 8 8 8 8 8 8 8 8 8 7 8 9 8 8 6 5 4 4 3 1 -2 -3 0 4 6 6 6 6 6 5 5 5 6 6 7 8 8 9 9 8 8 8 7 7 7 7 7 6 6 6 6 6 6 nan
nan 8 9 10 10 9 7 6 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 9 9 9 9 8 7 7 7 7 9 10 11 12 12 11 10 9 9 8 8 7 7 6 6 6 5 5 6 7 8 8 7 7 7 7 8 8 8 8 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 7 8 8 8 9 8 8 8 8 8 8 8 8 8 8 7 5 0 -3 -2 1 4 5 6 6 6 6 5 5 6 6 7 7 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 nan
nan 8 9 10 10 9 7 6 6 7 7 7 8 7 7 7 7 6 6 5 6 7 8 9 9 8 8 7 6 6 6 7 8 8 8 9 10 11 11 10 9 8 8 8 7 6 6 6 5 6 6 7 8 7 7 7 8 9 9 10 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 8 8 8 8 8 8 8 7 7 7 8 9 9 8 8 7 3 -1 -2 -2 0 3 5 6 6 6 6 5 5 6 6 7 7 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 nan
nan 9 10 12 11 9 6 5 6 6 7 8 8 8 8 7 7 6 6 6 7 7 7 8 8 7 5 5 4 4 5 6 7 7 6 6 8 9 10 10 9 9 9 8 7 6 6 6 6 7 7 7 7 7 6 7 7 8 10 10 10 10 9 9 8 7 7 7 7 8 9 9 9 9 8 8 8 8 8 7 6 6 6 7 8 8 9 9 8 7 8 7 7 7 7 8 9 9 8 8 7 6 4 1 -2 -2 -1 2 4 5 6 6 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 nan
nan 9 11 12 11 8 5 5 6 7 7 8 8 8 8 7 7 7 7 8 8 8 7 7 6 5 4 4 4 4 5 6 7 7 6 5 6 8 8 9 9 9 9 8 6 5 5 6 7 7 8 8 8 7 6 6 6 7 8 8 9 9 9 9 8 7 6 7 7 8 9 9 9 9 8 8 8 8 8 7 6 5 6 6 7 9 10 9 8 7 7 7 7 7 7 8 9 9 8 8 8 8 7 5 2 -1 -2 -1 1 3 4 5 5 5 5 6 7 7 7 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 nan
nan 9 10 10 10 8 6 5 6 7 7 7 8 8 8 8 8 8 8 9 9 8 8 7 6 6 5 5 5 5 6 7 8 7 6 5 6 6 6 7 8 9 9 7 5 4 5 6 7 8 8 9 9 8 7 7 6 5 6 6 7 8 8 8 8 7 7 7 7 8 9 9 9 9 8 8 8 8 8 7 6 6 6 6 7 8 9 9 9 8 7 7 7 7 8 8 9 9 8 8 8 8 8 8 6 4 2 -1 -1 0 2 4 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 5 6 nan
nan 8 9 9 8 8 7 6 6 7 7 7 7 8 9 9 9 9 9 9 9 9 8 7 7 7 7 6 6 6 7 8 8 7 6 6 7 6 5 6 7 9 9 7 6 5 5 6 6 7 8 9 9 10 9 8 7 6 6 5 5 6 7 6 7 8 9 8 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 9 9 8 8 8 8 8 9 9 8 7 6 3 1 1 2 4 6 6 6 6 5 6 6 6 6 6 6 6 7 7 7 6 6 6 5 5 5 5 nan
nan 8 8 8 8 8 7 7 7 6 6 6 7 8 9 11 11 11 10 9 9 9 8 7 7 7 7 6 6 6 7 8 8 8 8 9 8 8 6 6 7 8 9 8 6 6 6 6 6 6 7 8 9 9 9 9 9 8 7 6 5 6 6 5 5 8 9 8 8 8 8 9 9 9 9 9 9 8 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 9 9 9 8 7 8 9 8 9 9 8 8 8 8 7 6 4 4 5 7 8 7 5 3 4 6 6 6 6 6 6 7 7 7 6 6 6 5 5 5 5 nan
nan 8 7 7 8 8 8 7 7 6 6 6 6 7 9 11 11 11 10 9 9 9 7 6 6 6 5 5 5 5 6 7 8 8 9 10 11 10 9 8 8 8 8 8 7 7 7 7 6 6 7 7 7 7 8 8 8 8 7 6 5 5 4 4 5 7 9 8 8 7 8 8 8 9 9 9 9 7 7 6 6 6 7 8 9 9 8 7 6 6 7 8 8 9 9 9 8 7 8 8 9 9 8 8 8 9 9 9 8 7 7 7 7 7 5 2 0 3 6 6 6 6 6 6 7 7 7 6 6 6 6 6 5 5 nan
nan 7 6 6 8 8 8 8 7 7 6 6 6 7 8 9 10 10 9 9 9 8 6 5 5 5 5 6 6 6 5 6 6 7 9 10 11 11 10 9 9 8 8 8 8 8 8 8 7 8 8 8 7 6 6 6 7 6 6 6 5 5 4 3 5 6 8 8 8 8 8 8 8 8 9 9 9 7 6 6 6 7 8 10 10 10 9 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 10 9 9 8 8 8 8 7 5 2 -1 0 4 6 6 6 6 6 6 7 7 7 6 6 6 6 5 5 5 nan
nan 7 5 6 7 8 8 8 8 8 6 6 6 7 7 8 8 8 7 8 8 8 6 5 4 4 5 6 7 7 7 6 5 5 6 8 10 9 8 8 8 8 8 8 8 8 8 7 7 8 9 9 8 6 6 7 7 6 6 6 6 5 4 4 4 5 6 8 9 9 9 9 8 8 8 9 9 7 6 5 7 9 10 11 11 10 9 8 7 7 6 7 7 6 6 6 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 7 4 1 -0 3 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 nan
nan 7 6 5 6 7 8 9 10 8 7 6 6 6 7 7 7 7 7 7 7 7 6 5 4 4 5 7 7 7 7 7 5 4 5 6 7 7 6 6 7 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 8 7 7 8 8 7 5 4 3 4 5 6 8 9 9 9 9 8 9 9 8 7 5 5 7 10 11 11 11 10 9 8 7 7 6 6 6 6 6 7 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 7 4 1 2 6 8 8 7 7 7 8 8 7 7 7 7 7 6 6 6 6 6 nan
nan 7 6 5 5 7 9 10 10 9 7 6 5 5 6 7 8 9 8 7 7 7 6 5 4 4 6 6 7 7 7 7 7 5 5 5 6 6 5 6 6 8 8 8 8 8 8 8 7 6 6 7 9 10 11 10 9 8 8 9 9 8 6 5 4 5 5 6 7 7 7 8 9 10 10 9 8 7 6 7 8 10 11 11 10 9 8 6 6 6 6 6 6 6 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 8 6 3 2 5 9 11 9 7 7 8 8 8 8 7 7 7 7 6 6 6 6 6 nan
nan 7 6 5 6 8 10 10 10 8 7 5 4 4 6 8 9 10 9 8 7 6 6 6 5 5 6 6 6 6 6 7 7 6 6 6 6 7 6 6 6 6 7 8 8 8 9 9 8 7 7 7 7 9 10 10 9 8 7 8 10 10 9 7 6 6 6 6 6 5 5 6 8 10 10 9 8 7 8 9 9 10 10 10 9 8 7 6 6 6 6 6 6 7 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 8 7 5 6 9 12 11 9 7 7 8 8 7 7 7 7 7 7 7 6 6 6 6 nan
nan 7 6 6 8 10 10 10 9 7 6 4 4 4 6 7 9 9 9 8 8 7 6 6 6 6 6 6 6 7 6 6 6 6 7 7 8 7 7 6 5 5 5 6 8 9 9 9 9 10 9 8 7 7 8 8 8 7 7 9 10 11 11 9 7 6 6 6 6 5 5 6 8 9 9 8 7 7 8 9 10 10 10 10 9 7 6 6 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 10 10 10 9 8 7 6 5 5 6 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 9 10 9 9 8 6 5 4 4 4 6 7 8 9 9 9 9 8 7 7 7 6 6 6 6 6 6 5 5 7 8 9 9 7 7 6 5 5 5 7 9 10 10 10 11 11 11 9 8 7 8 8 9 8 9 10 11 11 10 8 5 4 5 6 7 7 6 7 7 8 8 7 6 6 7 9 10 10 10 10 9 7 6 7 8 9 8 8 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 9 7 4 2 2 5 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 8 9 9 9 8 6 4 3 4 5 6 7 8 9 10 10 10 9 8 7 7 6 6 6 5 5 4 4 5 8 10 11 10 8 7 6 5 5 6 7 9 9 9 10 11 12 11 10 10 10 10 11 11 11 12 12 11 10 9 7 4 3 4 5 7 7 8 7 7 7 7 6 6 6 7 9 9 10 10 10 9 8 7 7 8 8 8 8 8 7 7 6 6 6 6 7 8 8 8 8 8 8 8 9 9 10 10 9 9 9 10 10 9 9 10 9 7 3 -1 0 5 6 7 7 7 7 7 7 7 7 nan
nan 7 7 7 8 8 9 8 8 6 3 3 4 5 6 7 8 9 10 11 10 8 7 7 6 6 6 6 5 5 5 5 6 8 10 12 11 10 7 6 5 5 6 7 8 8 8 8 9 10 10 11 11 12 13 14 13 13 13 12 10 9 9 8 6 5 5 5 5 7 7 7 7 6 6 6 6 7 8 9 9 9 9 8 8 7 7 7 7 7 7 8 8 7 7 6 6 5 6 7 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 9 7 6 6 7 7 2 -1 2 5 6 7 7 7 7 7 7 7 7 nan
nan 7 7 8 8 8 8 8 8 6 4 3 4 5 7 8 9 10 11 10 9 7 7 7 6 5 6 6 6 6 6 7 8 8 9 10 10 9 7 6 6 6 6 7 7 7 7 6 7 8 10 10 11 12 14 14 14 14 14 12 11 9 9 10 9 8 6 5 4 5 6 6 6 6 6 6 6 8 9 10 9 9 8 7 7 7 6 6 5 5 6 6 7 7 7 7 6 6 6 7 7 8 8 9 8 8 9 9 10 10 10 9 8 8 8 7 3 0 0 3 5 3 2 5 6 7 7 7 7 7 7 7 7 7 nan
nan 8 8 8 8 8 8 8 8 7 5 4 4 5 7 8 9 10 10 9 7 6 8 8 7 6 6 6 7 7 8 9 9 9 9 8 8 7 6 6 6 6 6 6 6 6 5 5 6 7 8 8 9 10 11 12 13 15 15 15 13 11 11 11 11 11 9 7 5 5 5 5 5 7 7 6 7 8 9 10 10 9 8 7 6 6 6 5 4 4 5 5 6 6 6 7 7 6 7 7 7 8 9 8 8 8 9 9 9 9 8 8 7 8 7 5 1 -1 -2 0 2 4 5 6 7 7 7 7 7 7 7 7 7 7 nan
nan 8 8 8 8 8 8 9 8 7 6 5 3 4 6 8 10 11 10 7 5 6 8 8 8 8 7 7 7 8 8 9 9 9 8 7 7 7 7 8 7 7 6 6 6 6 6 5 5 6 7 7 7 7 8 8 10 12 14 15 14 13 12 12 13 13 11 10 8 6 5 4 5 6 7 7 7 8 9 9 9 9 8 8 7 7 6 6 5 5 5 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 7 7 7 8 7 6 4 3 1 0 0 2 4 6 7 7 7 7 7 7 7 8 8 8 nan
nan 8 7 7 7 8 9 9 9 8 6 4 2 3 5 8 10 11 10 8 7 7 8 8 9 8 7 6 6 6 7 8 9 9 7 6 6 8 9 9 9 7 6 6 7 7 7 6 6 7 7 7 7 7 7 7 7 9 10 10 11 11 11 12 13 13 13 12 11 9 7 5 5 6 6 6 7 8 8 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 8 8 7 7 8 8 8 8 7 8 8 8 8 8 8 8 7 5 1 -2 -1 3 7 7 8 7 7 8 8 8 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
8 8 6 8 14 30 51 73 82 87 91 109 156 217 260 247 154 94 98 107 121 128 123 126 133 139 153 161 156 166 152 122 106 105 108 101 76 52 39 43 47 30 36 48 43 30 18 10 5 2 0 0 0 3 26 41 34 18 11 11 10 10 9 6 7 5 6 6 4 4 3 2 1 0 0 0 0 0 0 0 0 2 17 56 85 85 80 114 296 717 939 445 191 148 141 136 132 114 86 78 55 56 61 79 96 115 135 155 170 180 203 207 199 207 222 255 277 293 317 340 339 338 327 322 276 234 219 234 313 411 418 318 205 145 130
7 4 6 9 15 40 67 99 131 177 247 339 436 515 538 465 285 147 145 160 204 252 282 299 313 325 346 353 340 321 252 169 120 92 71 57 48 31 18 20 24 12 10 6 5 3 2 1 0 0 0 0 0 0 13 25 17 8 5 5 4 2 2 3 6 4 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 14 36 57 67 65 64 149 495 825 642 426 345 310 240 173 101 58 48 30 31 36 45 65 107 150 168 175 188 209 212 204 241 257 279 315 350 385 414 336 350 313 297 266 204 174 199 319 489 532 400 255 202 193
25 12 9 15 30 61 101 166 247 334 415 488 557 586 526 381 216 166 170 203 273 350 394 417 457 507 526 511 505 413 283 170 101 64 46 35 19 6 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 6 6 4 2 1 2 1 1 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 20 32 49 59 40 53 272 595 771 835 794 572 291 172 85 61 48 44 37 44 54 74 134 205 233 213 235 273 311 308 312 301 305 348 398 442 534 521 500 446 393 363 306 246 258 362 507 531 389 290 265 283
34 30 18 26 50 92 168 280 355 365 336 321 349 353 297 222 177 190 232 300 367 400 400 419 498 559 548 526 492 349 206 115 62 30 14 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 2 2 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 8 19 43 30 32 108 279 465 585 612 519 229 115 77 71 63 53 58 83 111 154 233 330 382 309 342 385 412 425 409 380 372 410 556 766 938 879 768 690 612 589 602 586 508 426 424 399 354 367 419 533
29 27 27 40 74 146 258 347 322 237 181 160 163 173 181 197 224 274 348 431 455 420 373 364 474 523 487 412 313 190 99 49 22 8 2 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 17 19 20 33 81 163 237 259 228 156 94 81 95 92 82 85 106 145 200 297 477 555 484 492 535 571 566 548 624 691 703 824 1046 1177 1099 942 823 765 770 824 879 874 612 446 387 451 666 964 1216
26 26 34 53 101 204 294 295 211 138 120 117 128 170 223 273 328 413 488 504 453 412 405 370 412 410 342 241 154 85 35 10 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 12 16 30 61 107 171 219 211 131 117 122 116 103 93 118 178 172 271 546 599 555 575 612 580 538 673 989 1150 1074 1029 1068 1027 1068 1039 863 755 759 894 1129 1307 960 664 573 701 1031 1426 1651
33 28 43 63 127 233 279 227 154 125 124 135 190 271 351 417 503 600 683 652 530 460 455 405 314 248 185 122 70 33 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 12 23 41 73 116 184 150 118 105 97 103 112 121 180 136 212 415 475 490 565 668 704 646 662 911 1072 1083 1029 947 929 992 901 712 598 595 817 1273 1499 1271 1004 916 994 1171 1344 1325
55 52 60 79 157 232 247 201 153 140 149 194 271 386 512 596 646 783 863 720 490 426 486 385 226 146 93 62 29 8 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 1 0 0 0 0 0 0 0 1 2 4 8 13 21 35 65 82 78 69 69 79 93 109 108 138 259 397 444 429 473 590 706 614 506 642 823 961 905 709 541 434 448 428 431 428 547 800 1012 1085 1035 987 1029 1057 983 838
72 58 66 105 184 244 243 206 180 169 172 250 376 547 723 786 797 892 951 772 459 383 523 338 164 79 41 21 7 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 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 0 0 0 0 0 1 2 3 5 8 11 18 32 46 55 60 58 60 70 116 253 423 534 510 390 366 441 530 509 528 610 696 702 572 436 405 443 411 316 301 239 224 267 287 386 567 600 664 642 538 419
82 65 83 138 202 242 232 207 210 212 234 360 568 801 987 962 801 759 836 754 453 342 374 249 123 57 28 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 2 0 0 0 0 0 0 0 0 0 0 2 3 5 7 12 21 36 51 51 49 53 73 160 349 492 505 456 334 279 343 423 503 606 631 569 442 315 273 281 379 409 290 189 120 97 104 117 141 203 279 278 244 229 213
79 68 90 148 195 224 218 196 211 264 362 526 712 901 1044 973 764 619 605 578 407 320 273 190 99 44 16 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 1 9 8 3 0 0 0 0 0 0 0 0 0 1 3 6 13 19 16 26 33 36 49 59 74 132 247 339 343 366 289 254 326 405 447 467 465 428 344 213 192 196 189 174 157 130 110 103 99 103 111 157 200 182 172 185 198
112 92 106 148 176 185 180 178 218 331 459 508 540 674 834 809 631 497 475 449 372 290 233 167 87 32 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 14 18 8 0 0 0 0 0 0 0 0 0 1 3 8 22 24 16 22 25 32 54 61 59 75 134 250 383 448 341 319 369 394 350 277 255 307 346 283 255 221 172 135 116 111 114 121 132 136 143 163 214 215 202 205 228
171 152 161 170 163 136 117 147 249 390 440 374 373 501 664 675 558 453 406 390 349 275 221 146 75 24 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 2 13 15 5 0 0 0 0 0 0 0 0 0 1 3 6 15 20 22 22 22 30 50 61 64 91 200 406 676 631 483 413 390 348 266 185 170 257 344 340 308 251 165 116 115 121 131 159 179 174 201 187 189 193 201 205 192
214 228 219 191 148 111 116 187 306 406 336 255 276 407 551 577 491 403 371 371 342 271 201 112 56 21 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 3 11 13 1 0 0 0 0 0 0 0 0 0 1 3 7 16 28 28 24 21 33 56 82 117 201 458 750 917 749 563 450 355 261 211 171 173 240 274 253 237 219 193 170 156 136 130 149 156 141 142 133 121 126 139 143 149
216 213 204 181 152 149 212 328 379 333 230 182 229 365 499 533 461 372 349 375 325 250 173 102 48 15 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 26 59 25 0 0 0 0 0 0 0 0 0 1 4 13 29 47 74 110 136 136 137 201 349 509 689 919 989 861 662 512 408 308 234 210 212 222 219 208 187 184 191 180 151 129 119 102 94 86 74 67 64 64 66 65 71 83
221 201 199 206 211 236 317 388 361 251 185 180 236 350 471 501 409 322 319 373 295 223 140 78 36 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 49 134 73 0 0 0 0 0 0 0 0 2 7 23 95 263 405 488 571 626 638 670 811 1008 1289 1543 1320 980 686 502 408 351 287 261 218 195 200 186 164 147 137 129 112 90 80 79 67 54 46 41 38 34 32 32 27 28 28
257 244 244 252 273 320 365 337 279 223 202 213 260 351 456 474 365 324 311 333 272 195 126 66 22 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 1 39 174 235 21 0 0 0 0 0 0 3 17 67 209 493 840 1147 1310 1321 1251 1216 1218 1336 1328 1345 1276 993 699 494 370 301 265 210 162 139 130 128 117 102 94 86 73 60 50 47 44 37 30 26 22 21 18 15 13 10 8 8
268 259 256 270 308 357 346 273 233 217 226 245 283 355 434 442 342 275 290 302 243 159 92 40 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 55 241 327 73 4 0 0 0 1 3 17 99 339 720 1111 1289 1281 1174 1107 1083 1072 972 870 786 727 596 451 343 283 230 187 153 120 99 83 72 60 50 45 44 44 43 35 26 21 18 14 10 8 4 5 5 4 3 2 1 1
258 261 272 293 319 326 274 199 192 187 213 240 284 350 411 436 389 294 243 253 198 119 57 18 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 7 32 85 142 426 317 94 9 0 0 2 11 40 119 401 778 1068 1133 948 678 496 399 440 494 438 361 310 267 197 145 124 126 114 87 69 56 42 32 27 23 19 15 14 14 9 7 7 5 4 2 1 1 0 0 0 0 0 0 0 0
228 232 241 260 270 243 183 121 120 126 165 211 263 323 380 418 392 280 180 198 148 79 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 1 1 1 1 1 0 0 0 0 0 0 0 0 0 9 64 202 297 394 564 325 91 6 0 1 14 78 249 557 878 981 829 535 285 202 210 216 198 169 155 126 94 75 63 57 57 53 46 37 29 23 16 11 8 5 3 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
156 164 173 187 186 143 102 63 56 66 110 171 231 291 352 397 373 292 248 186 109 45 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 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 5 52 232 552 595 659 557 278 66 9 9 20 81 313 694 1000 959 676 374 179 107 109 104 79 59 50 48 39 31 30 28 25 21 19 18 16 12 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0
69 79 89 104 105 67 47 36 32 44 87 150 211 265 332 420 399 310 225 140 68 23 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 1 2 1 0 0 0 0 0 0 0 0 0 0 1 17 120 472 727 791 707 457 181 41 35 59 133 342 673 877 804 510 248 131 93 83 64 43 31 27 24 21 18 16 17 15 14 12 10 7 5 3 1 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 2 3 1 1 2 6 4 1 0
14 20 29 44 47 31 24 27 32 51 96 152 202 256 320 415 377 283 187 99 36 8 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 1 24 184 560 821 847 728 503 279 198 277 474 707 875 806 604 352 169 95 76 56 35 24 24 24 23 18 14 12 12 10 7 6 4 3 1 1 0 0 0 0 0 0 0 1 1 0 1 2 2 3 2 2 2 4 6 5 4 6 8 4 3 4
1 3 6 11 13 12 16 24 38 69 116 161 195 237 318 373 322 227 135 57 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 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 2 13 150 421 704 860 891 809 738 818 893 890 851 677 433 230 119 75 55 41 27 22 19 17 15 12 9 8 9 8 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 6 8 7 6 5 6 6 5 7 8 6 6 7 5
2 2 3 3 3 4 8 17 47 90 130 163 198 242 319 337 262 192 112 38 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 1 0 0 0 0 0 0 0 0 0 0 0 1 16 76 195 381 597 725 737 714 713 717 574 388 206 102 63 45 33 24 21 16 12 9 8 7 7 7 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 16 16 12 11 10 9 7 5 3 4 4 5 5 6 4 1
2 2 3 3 3 3 4 12 40 81 119 143 168 219 278 251 212 201 138 50 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 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 55 120 196 259 314 319 267 211 138 88 63 45 34 26 20 16 13 11 8 5 3 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 16 22 18 13 10 8 7 3 1 0 1 2 2 2 2 1 0
2 2 3 3 3 3 3 6 18 45 77 98 110 149 178 156 129 118 83 32 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 3 9 17 33 52 65 86 105 82 67 59 49 37 27 22 19 14 11 8 6 4 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 2 1 2 4 9 11 13 13 10 7 6 5 3 0 0 0 0 0 0 0 0 0 0
2 2 2 2 3 3 3 4 8 19 34 48 70 127 130 83 41 23 15 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 0 0 0 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 7 10 14 19 24 35 42 39 38 35 29 24 20 17 15 10 8 5 3 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 7 8 7 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0
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