Vorticity
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nan 11 11 11 11 10 10 9 9 10 10 11 11 12 13 12 11 10 11 12 13 13 14 14 12 11 11 12 12 12 11 11 11 11 11 11 10 9 9 10 10 10 10 11 11 10 10 10 10 10 11 12 12 10 9 9 8 8 8 9 10 10 9 7 7 8 9 10 10 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 9 10 10 10 9 8 7 7 7 7 7 7 7 8 8 9 9 9 9 8 7 7 6 6 7 8 9 9 9 8 8 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 9 10 10 10 9 8 8 9 8 7 5 5 4 5 6 8 13 18 22 23 22 21 19 19 18 18 16 14 13 12 nan
nan 11 12 12 12 11 11 11 10 11 11 12 12 13 14 13 11 9 10 12 13 14 14 14 13 12 13 13 11 10 10 10 10 9 9 8 8 8 8 9 10 10 10 10 9 8 8 9 9 9 9 10 10 10 9 9 8 8 8 9 10 10 9 7 6 8 9 10 10 9 9 10 9 9 8 7 7 7 8 8 8 8 9 9 9 10 10 9 8 7 7 7 7 7 7 7 7 8 8 9 8 8 8 7 7 6 5 5 6 7 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 6 6 7 7 7 7 7 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 9 8 7 8 9 9 10 10 10 9 9 9 9 8 7 6 6 6 6 6 8 11 15 20 22 23 24 24 24 23 21 17 14 13 nan
nan 11 12 12 12 12 12 12 11 11 11 12 12 13 13 12 10 9 9 11 12 13 13 13 13 13 12 10 9 8 7 7 7 7 7 7 7 8 9 9 9 9 9 9 8 7 7 8 9 9 9 9 9 9 9 8 8 8 8 9 10 10 8 6 6 8 10 10 9 9 9 10 10 9 8 7 6 6 8 8 8 9 9 9 10 10 9 8 7 7 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 4 5 6 6 7 7 8 8 8 8 7 7 6 6 7 7 8 8 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 8 8 9 9 10 10 10 9 9 9 9 9 8 7 7 8 8 6 6 6 9 13 16 18 19 22 24 25 24 20 17 15 nan
nan 12 12 12 12 11 11 11 11 11 11 11 12 13 13 11 9 8 10 12 13 13 11 11 11 10 9 8 7 6 6 6 7 8 8 8 8 8 9 9 8 8 8 8 8 7 7 8 8 9 9 9 8 8 8 8 9 9 9 10 10 9 7 5 6 8 9 9 8 9 10 10 10 10 9 8 7 7 7 8 8 8 9 10 11 11 10 9 8 8 8 8 7 7 6 6 6 6 6 6 7 6 6 6 6 6 6 5 4 4 5 6 7 8 8 8 8 8 9 8 8 8 9 10 9 8 8 7 7 7 7 8 8 8 8 8 7 7 7 8 8 7 7 8 8 8 8 8 8 8 9 9 10 9 9 9 9 10 10 10 10 9 9 9 8 8 8 7 8 8 8 8 7 6 7 8 10 10 11 14 17 22 24 22 20 17 nan
nan 12 11 11 11 10 10 10 10 10 10 11 11 12 11 10 9 9 11 14 15 14 11 9 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 7 7 7 8 8 8 7 7 8 8 8 9 8 8 8 8 9 9 10 10 10 10 9 7 5 5 8 9 8 8 9 10 10 10 10 9 8 8 7 7 8 8 8 8 9 10 11 10 9 9 8 8 8 7 7 6 6 5 6 6 7 7 7 6 6 7 8 8 8 7 6 6 6 7 8 8 8 8 9 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 9 10 11 10 10 10 9 9 9 8 8 9 9 9 9 8 8 7 6 7 7 7 8 11 17 21 24 23 20 nan
nan 11 11 11 10 9 9 8 8 8 9 10 10 10 10 9 9 10 12 15 16 15 13 9 7 6 7 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 7 8 8 8 9 9 8 8 8 8 9 10 10 10 10 10 10 8 6 6 7 8 9 9 9 9 9 10 10 9 9 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 8 7 6 6 5 5 6 7 8 8 8 8 8 9 10 10 10 9 8 7 7 7 7 7 8 9 9 10 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 8 7 7 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 11 11 11 11 10 10 9 9 9 10 10 11 10 9 9 8 7 6 6 7 7 7 9 13 17 22 24 24 nan
nan 10 10 10 9 9 8 8 8 8 8 8 9 9 8 8 9 10 13 16 17 16 13 11 8 7 8 9 10 10 9 9 9 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 10 10 10 10 10 8 8 8 9 9 9 9 8 9 9 9 9 9 8 7 7 7 8 8 9 9 9 8 9 10 10 9 9 9 8 7 6 6 5 5 6 7 8 9 9 10 10 10 10 10 10 10 9 8 7 6 6 7 7 8 9 10 11 12 11 10 9 9 9 9 9 10 10 10 10 11 12 12 12 12 11 10 9 8 7 6 6 7 8 9 9 9 9 8 8 8 8 8 8 8 9 10 10 11 11 11 10 10 10 10 11 11 10 10 9 9 8 7 7 7 7 8 8 10 12 16 21 25 nan
nan 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 11 14 15 15 15 14 12 10 9 8 9 10 10 10 10 9 8 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 10 9 9 9 9 9 8 8 8 9 10 10 9 9 8 7 7 7 8 8 9 9 9 8 9 10 10 9 9 9 9 8 8 7 7 7 8 9 9 9 10 10 10 9 8 8 9 10 10 9 8 7 7 8 8 8 9 10 12 12 11 9 8 8 8 8 9 9 9 9 10 11 12 13 13 13 13 12 11 9 8 7 6 7 8 9 9 9 9 9 9 9 8 8 8 7 7 7 8 9 10 11 11 11 11 11 11 11 11 10 10 10 9 8 7 7 8 8 8 8 9 11 15 20 nan
nan 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 9 11 14 14 14 13 13 13 12 10 8 8 9 9 10 10 9 9 8 8 8 9 9 9 9 8 8 8 8 8 7 8 8 8 8 9 9 8 9 10 11 10 9 10 10 10 9 9 9 10 10 10 8 8 9 10 10 10 9 8 7 6 6 7 7 8 8 8 8 8 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 9 9 10 11 11 10 10 9 9 9 9 9 10 10 9 7 7 7 7 7 8 9 9 9 10 10 11 12 12 13 13 13 12 11 9 8 7 7 8 9 9 9 9 9 9 9 9 8 8 7 7 6 6 7 8 9 10 11 11 12 11 11 11 10 10 10 9 8 7 7 7 7 7 7 7 8 10 13 nan
nan 7 8 8 7 8 8 9 11 11 10 8 6 6 7 8 9 11 13 14 13 12 12 13 13 12 10 8 8 8 8 9 9 10 10 9 9 10 10 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 10 10 10 9 8 9 9 8 8 9 10 11 11 10 9 10 10 10 9 8 8 8 7 7 7 8 8 8 8 9 9 9 9 8 8 9 9 10 9 10 11 11 12 12 11 9 9 9 9 9 9 9 9 9 10 11 12 12 11 10 9 9 9 9 10 9 7 6 5 5 5 5 6 7 8 8 8 9 9 10 10 11 11 12 13 13 12 12 11 9 8 8 9 9 10 9 9 9 9 8 8 8 8 7 6 6 6 7 8 9 10 11 12 11 11 10 10 9 8 8 7 8 7 7 6 6 6 6 6 7 8 nan
nan 7 8 8 8 8 9 10 11 12 12 9 6 6 7 8 9 10 12 13 13 11 11 12 14 14 12 9 8 7 7 7 8 9 10 9 10 10 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 10 10 10 9 9 8 8 8 9 10 11 12 12 12 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 11 11 12 11 11 10 10 10 10 10 10 9 9 9 9 10 11 12 11 10 9 9 10 11 11 10 7 5 4 4 4 5 7 8 8 8 8 8 8 8 9 10 10 11 12 12 13 14 13 11 9 8 9 10 10 9 9 9 8 8 8 9 9 8 7 6 6 7 8 9 9 10 10 11 11 11 10 9 7 7 7 8 8 7 6 6 5 5 6 6 7 nan
nan 8 9 9 9 9 9 9 10 12 12 10 7 6 7 8 9 9 11 12 12 11 10 10 13 14 13 11 9 8 8 7 7 8 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 11 11 11 10 9 9 10 10 11 11 12 13 13 13 13 13 12 11 11 11 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 10 9 9 10 10 11 11 11 10 10 10 11 11 11 10 9 8 8 9 9 10 10 10 10 10 10 11 12 13 12 10 7 5 4 5 7 8 9 9 8 7 7 8 8 8 8 9 10 10 11 13 14 15 13 12 10 10 10 10 10 10 9 9 8 8 9 10 10 9 8 8 8 8 9 9 9 9 10 11 11 11 10 8 8 8 9 9 8 7 7 6 6 6 6 6 nan
nan 10 10 9 9 9 8 8 8 10 11 9 7 6 7 8 9 9 10 11 11 10 10 10 12 13 13 12 11 10 9 8 8 8 9 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 12 12 12 12 13 13 13 13 14 15 15 16 15 14 14 14 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 10 10 10 11 11 11 11 11 10 9 9 9 9 9 9 9 10 10 11 12 13 14 14 12 9 7 6 7 8 9 9 8 8 8 8 8 8 8 8 8 8 9 10 12 14 15 15 14 13 11 10 10 9 10 10 9 9 9 10 11 12 11 10 9 9 9 9 9 8 9 9 10 11 11 12 11 11 10 10 10 9 8 8 8 7 6 5 5 nan
nan 9 9 9 9 8 8 7 7 8 9 8 7 7 8 9 9 10 10 10 11 11 11 12 12 12 12 12 11 11 10 10 10 11 12 12 11 11 11 12 11 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 12 13 14 13 13 13 14 14 15 14 14 14 15 16 17 17 16 15 14 13 14 14 14 13 13 13 12 12 11 11 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 11 11 11 10 10 9 8 8 8 9 10 11 11 12 14 14 13 11 9 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 10 11 12 14 15 15 15 13 12 10 10 9 9 10 10 10 11 11 12 12 11 10 10 9 9 9 9 8 8 9 10 10 11 12 12 12 12 11 10 9 9 9 8 7 6 5 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 10 11 11 12 11 11 11 11 12 12 12 13 12 12 12 13 12 12 11 11 11 10 11 11 11 11 11 11 12 12 11 11 11 11 11 10 10 10 10 11 12 12 11 10 11 12 13 12 12 12 13 14 15 15 15 14 13 13 14 14 14 14 14 14 13 12 11 11 11 11 11 12 12 12 11 10 9 9 10 11 12 12 13 13 13 12 12 12 12 11 10 9 8 8 8 9 9 9 10 11 12 12 12 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 10 12 13 14 14 13 12 11 9 9 9 10 10 11 10 11 11 11 11 10 10 10 9 9 9 8 8 9 9 10 11 11 12 12 11 11 10 9 9 9 8 7 6 nan
nan 6 5 5 5 6 6 6 5 5 6 6 7 8 8 8 9 11 11 11 11 11 11 10 9 10 13 14 15 15 15 15 13 13 12 11 11 11 11 10 10 11 12 12 13 13 12 12 11 11 11 10 10 10 10 10 9 9 9 8 7 6 6 6 6 7 7 7 8 10 11 12 13 13 12 12 12 13 13 14 14 14 13 12 11 12 12 12 12 12 13 13 12 11 9 8 9 10 11 12 13 14 14 14 13 13 12 11 10 9 9 9 9 9 8 8 9 10 10 11 11 12 12 12 10 8 8 7 7 7 6 6 6 6 5 5 6 6 7 8 8 7 7 7 8 9 10 11 12 12 12 11 10 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 10 9 9 9 8 7 nan
nan 6 5 5 5 5 5 4 4 4 5 6 7 8 8 8 9 10 11 11 11 11 10 9 8 11 14 15 16 16 16 15 14 13 13 12 11 11 12 12 12 12 12 12 12 12 11 11 10 9 9 9 9 9 9 9 8 8 7 5 3 2 2 3 3 3 3 4 5 7 8 9 11 12 11 11 11 11 11 12 12 12 12 11 12 13 13 13 13 14 14 13 12 10 9 8 8 9 9 11 12 13 13 13 14 14 12 11 10 11 11 11 10 9 8 8 9 9 9 10 11 13 14 13 12 10 9 8 7 6 6 6 6 5 5 4 5 6 7 7 7 6 6 6 7 7 8 8 9 11 13 13 12 10 10 10 10 10 9 8 8 8 8 8 8 9 9 9 9 10 10 11 11 10 10 9 10 10 11 11 10 10 10 9 9 8 nan
nan 6 6 7 7 7 6 6 5 5 6 7 8 8 8 9 9 9 10 10 11 11 10 9 9 11 14 15 14 14 14 14 13 14 15 15 14 13 13 12 12 11 11 10 10 9 9 9 8 7 6 6 6 6 7 7 7 6 5 4 3 3 3 4 5 5 5 4 4 5 6 7 9 10 10 10 10 9 10 10 10 10 10 11 12 13 13 13 14 15 15 13 11 10 9 8 7 8 8 9 10 11 11 12 13 13 12 11 11 12 13 12 10 9 8 8 8 9 9 10 12 14 15 14 13 12 12 10 8 6 6 6 6 6 5 5 5 6 6 7 7 7 7 7 8 8 7 7 9 10 12 12 12 11 11 11 11 11 10 8 8 7 7 7 7 8 8 9 9 9 10 10 11 11 11 10 10 10 11 11 10 10 10 9 9 8 nan
nan 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 11 10 9 9 11 14 15 14 13 12 11 12 13 15 15 15 14 12 11 10 10 9 9 8 8 7 7 6 5 4 4 3 3 4 5 6 6 6 6 6 6 6 7 7 7 6 5 4 4 5 6 7 9 9 10 9 9 9 9 9 8 9 9 10 11 11 12 13 14 13 12 10 10 9 8 7 7 8 8 9 9 10 11 11 12 11 11 12 12 12 11 10 9 8 8 8 9 9 10 11 13 14 14 14 13 13 13 10 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 9 10 10 11 11 12 12 12 12 11 10 9 9 8 7 6 6 6 7 7 7 7 8 9 10 11 11 11 11 11 11 11 11 10 10 9 9 9 nan
nan 7 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 11 11 10 9 11 14 16 15 13 11 10 10 11 13 14 14 13 12 11 9 9 8 8 7 7 6 5 5 4 5 5 4 3 3 4 5 6 7 7 7 7 8 8 8 7 7 5 4 3 3 4 6 7 9 9 10 9 8 8 8 8 8 8 8 8 9 10 11 12 12 11 10 9 8 7 7 7 8 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 13 13 13 14 14 12 10 9 9 9 8 8 8 8 8 9 9 10 9 9 9 9 8 8 8 9 9 9 9 9 10 11 12 12 11 11 11 11 11 9 7 6 6 6 5 5 6 7 8 9 10 11 11 11 11 11 12 12 11 11 10 10 10 nan
nan 8 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 8 9 9 9 10 12 15 17 15 12 10 8 7 8 10 11 12 12 10 9 8 8 7 7 6 5 4 3 3 4 7 9 9 7 5 5 6 7 7 7 8 8 8 8 8 8 8 6 4 3 3 3 4 6 7 9 10 10 9 9 8 7 7 7 7 8 8 8 9 11 11 11 10 8 7 6 6 7 8 9 9 9 9 9 9 9 9 10 10 10 10 9 10 11 11 11 11 9 9 9 10 11 11 11 11 12 12 13 12 11 10 9 9 8 7 7 7 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 11 11 11 12 12 12 12 11 10 9 8 7 6 6 6 6 7 7 8 9 10 10 11 11 11 12 12 12 11 10 10 nan
nan 9 10 11 11 10 10 9 8 8 8 8 8 8 8 8 8 9 10 9 8 7 7 8 10 12 15 17 15 12 9 7 6 6 7 9 11 11 10 8 8 7 6 5 5 4 3 2 4 7 10 12 12 10 8 7 7 7 7 7 8 8 8 8 8 8 8 7 6 4 4 3 3 4 6 8 9 10 10 10 9 7 7 7 7 8 8 8 9 10 10 11 10 8 6 6 6 7 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 10 10 11 10 9 9 10 11 10 10 10 10 10 11 11 11 11 11 10 10 9 8 8 7 6 5 5 5 6 7 8 8 8 8 8 8 8 8 8 7 7 8 10 11 12 12 12 12 12 12 12 12 12 11 10 9 8 7 7 6 7 7 8 9 10 10 10 11 12 13 12 12 11 nan
nan 9 10 10 10 9 9 8 8 7 7 8 8 9 9 9 9 9 9 9 8 7 7 8 10 12 14 16 15 13 11 9 7 6 7 8 10 10 9 8 8 8 7 6 5 4 4 6 9 12 14 14 13 11 11 10 8 7 7 9 10 10 9 8 7 8 8 8 7 6 5 4 3 4 5 7 9 10 11 10 9 7 6 7 7 8 8 9 9 9 9 9 9 8 6 6 7 7 7 7 7 7 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 11 11 12 12 13 13 12 11 10 9 7 6 6 7 8 8 8 8 8 7 7 8 7 7 7 8 9 10 11 11 11 12 12 12 13 13 13 14 14 13 12 10 9 7 7 7 8 8 9 9 9 10 11 12 13 13 11 nan
nan 9 9 9 8 8 7 7 7 7 8 8 9 9 10 10 10 10 10 9 9 9 9 9 10 11 12 14 14 13 12 10 8 7 8 9 9 9 9 8 8 8 8 7 7 6 6 9 12 13 14 13 12 12 12 11 9 8 9 10 11 10 9 8 7 7 8 9 8 7 6 5 4 3 4 6 8 9 10 10 8 7 6 7 7 8 9 9 10 10 9 7 7 7 7 7 8 8 8 7 7 7 7 7 8 9 9 10 10 9 9 9 9 9 9 9 9 8 9 9 10 10 10 9 9 9 9 9 10 10 11 11 12 14 15 15 15 15 14 13 11 10 9 9 9 8 8 7 7 7 7 7 6 7 7 8 8 8 8 8 9 11 12 12 12 13 13 13 13 13 12 12 10 9 8 8 8 8 9 9 9 10 11 12 13 12 nan
nan 9 8 7 7 7 7 8 8 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 12 13 13 11 10 9 9 10 10 9 9 8 8 8 9 10 9 9 9 10 11 11 11 11 11 12 11 10 9 9 10 10 10 10 10 9 9 8 9 9 9 9 7 6 4 3 3 5 7 9 10 10 9 8 7 7 8 8 8 9 9 9 8 7 6 7 7 8 8 8 8 8 8 7 7 7 8 8 9 9 9 8 8 8 9 9 9 9 9 9 8 8 9 9 9 9 9 8 9 9 9 9 9 9 10 11 12 13 14 15 15 15 15 13 11 10 9 9 8 7 7 7 7 7 7 7 7 7 6 5 5 5 7 9 10 11 12 12 12 12 12 12 13 13 12 11 10 9 9 9 9 9 9 9 10 11 12 12 nan
nan 9 8 7 7 8 9 9 10 10 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 12 12 12 12 12 12 11 10 10 10 9 9 9 11 12 12 11 10 10 10 10 10 10 10 11 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 7 5 4 3 4 6 9 11 11 11 9 8 8 8 8 7 7 8 8 7 7 7 7 7 8 8 8 8 9 8 8 8 8 8 8 8 8 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 10 11 12 12 12 12 13 14 13 12 11 10 8 7 7 7 7 7 7 7 7 6 6 6 5 4 5 6 8 9 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 9 9 9 9 10 11 11 nan
nan 9 9 9 10 10 10 11 11 11 11 11 10 10 9 9 8 8 8 8 9 9 10 10 10 10 9 10 10 11 11 12 12 12 13 12 11 10 10 10 9 9 10 11 11 11 10 10 10 9 9 9 9 10 9 9 9 8 8 8 9 10 10 9 9 9 9 9 9 9 8 7 6 4 3 3 5 8 10 12 12 10 9 7 8 8 7 8 8 8 7 7 7 8 8 8 8 8 9 8 8 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 11 11 11 11 10 10 10 10 11 11 11 10 9 7 6 6 6 7 7 6 6 6 6 6 6 6 6 7 7 8 9 9 9 10 10 11 11 11 11 11 11 11 12 11 11 10 10 10 10 9 9 9 9 10 nan
nan 11 11 11 11 11 11 11 11 11 11 10 9 9 8 8 8 7 7 8 9 9 9 10 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 5 3 3 4 7 9 11 12 11 9 7 7 8 9 9 9 9 8 7 7 8 8 8 8 9 8 8 8 9 9 9 9 9 8 9 9 9 10 9 8 7 7 8 8 8 8 9 9 8 8 8 8 9 9 9 9 9 10 10 11 11 10 9 9 9 9 8 8 9 9 9 8 7 7 7 8 8 7 6 5 5 5 7 7 7 7 7 7 8 8 8 7 8 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 nan
nan 12 12 12 11 11 11 11 11 11 10 9 9 8 7 7 7 7 7 8 8 9 9 9 9 9 8 8 9 9 10 10 10 9 9 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 9 9 8 8 8 8 7 8 8 8 7 7 7 7 8 8 7 5 3 3 4 6 9 11 12 11 9 7 7 9 10 10 9 9 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 10 10 10 9 8 7 6 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 8 9 9 8 8 8 8 9 8 8 9 9 10 10 9 8 6 6 6 7 7 7 7 6 6 7 7 7 7 7 8 8 8 8 9 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
19 10 3 9 19 44 72 168 532 1036 1672 2532 3058 2665 1966 1514 1272 1418 1476 1381 1288 1263 1354 1460 1562 1531 1345 1099 871 687 534 401 310 254 211 171 126 93 72 61 56 52 48 44 39 29 14 1 0 0 2 3 6 7 8 10 10 9 7 9 12 14 16 16 16 16 15 13 13 12 13 15 19 28 34 37 40 44 49 54 56 54 49 44 37 28 19 15 15 16 16 15 16 15 12 7 3 2 1 1 5 8 10 12 18 24 22 24 27 29 32 38 43 47 48 46 46 48 55 59 58 63 72 72 70 66 60 50 40 33 29 28 29 32 34 37 40 41 41 39 32 28 25 19 13 10 9 9 10 9 8 11 11 7 7 5 6 9 14 23 26 25 27 33 38 41 43 42 41 37 45 51 61 81 99 96 77 64 50 32 21 20 27 36 43 45 47
24 24 13 16 25 48 72 240 628 1115 1665 2384 2963 2845 2300 1814 1502 1448 1485 1429 1345 1378 1461 1501 1559 1542 1378 1140 928 763 607 456 369 311 264 209 154 110 77 64 56 50 46 46 41 31 24 14 1 1 3 5 7 8 8 12 14 14 14 14 15 17 18 17 16 15 14 13 12 13 13 13 16 27 32 33 35 38 44 50 55 54 49 42 37 29 17 17 18 18 16 15 17 17 14 12 9 6 3 2 5 9 10 12 15 17 14 19 23 30 35 38 42 45 45 45 45 47 53 58 58 65 71 70 67 64 57 47 36 31 28 26 28 32 35 37 39 42 41 38 36 34 32 28 24 19 14 17 20 19 21 28 31 37 37 30 17 16 26 34 32 29 37 49 56 62 60 55 51 50 57 69 84 109 132 123 90 78 64 36 24 29 39 58 66 66 61
26 25 19 19 26 47 71 269 676 1136 1677 2366 2933 2976 2517 2007 1698 1440 1338 1399 1354 1427 1545 1597 1606 1551 1408 1181 966 830 692 524 446 380 322 263 197 129 80 64 56 50 46 43 39 31 20 5 1 1 3 6 7 7 11 15 17 18 18 16 14 17 19 18 18 16 14 13 11 12 13 15 21 28 31 30 30 34 40 46 50 50 47 44 44 34 19 16 18 19 17 16 17 17 16 14 12 7 3 4 6 9 10 12 10 7 10 18 24 30 37 41 42 43 43 44 44 45 50 55 59 65 67 65 63 60 53 43 33 29 27 22 29 35 38 40 41 43 41 39 38 38 34 30 26 22 19 19 20 21 26 29 32 37 51 62 52 45 54 59 52 45 52 59 70 76 73 66 59 60 68 86 119 149 148 130 104 86 72 39 39 36 45 64 89 98 83
24 15 10 14 21 43 73 270 707 1192 1641 2172 2737 2929 2534 2077 1890 1633 1313 1326 1290 1341 1552 1695 1657 1559 1442 1213 963 852 778 640 540 454 381 315 233 151 92 66 56 52 46 40 34 28 18 7 2 2 3 5 6 8 12 16 18 19 20 17 17 22 25 24 25 22 17 14 14 14 15 20 25 29 30 27 27 31 37 42 46 47 44 42 44 39 27 19 18 19 18 19 20 19 18 16 12 7 3 3 7 10 11 13 10 8 12 17 21 29 39 43 43 42 41 42 42 44 49 55 60 65 66 63 60 56 48 37 29 26 25 24 32 36 39 42 43 44 44 41 39 37 32 25 17 8 6 7 10 12 15 18 20 25 37 47 51 55 64 76 84 71 59 64 72 76 74 66 61 66 76 93 121 144 141 119 93 77 71 62 57 48 65 104 153 157 115
22 12 4 9 16 36 72 248 714 1219 1601 2037 2606 2884 2528 2070 1818 1526 1209 1149 1197 1331 1546 1667 1660 1565 1423 1189 957 861 818 756 627 528 462 384 285 185 110 72 59 54 49 42 35 26 17 8 3 2 4 5 5 9 13 16 16 17 22 23 25 28 31 33 33 29 22 19 19 18 19 23 27 28 26 25 25 29 34 39 43 46 43 39 39 38 32 27 25 23 22 23 25 25 24 18 12 8 4 5 8 10 11 13 15 16 16 18 20 26 36 42 40 38 37 38 40 43 48 53 59 63 65 64 59 52 43 36 26 22 20 25 34 37 37 39 41 43 43 40 36 31 23 11 1 0 0 1 2 5 9 13 16 22 27 30 31 30 34 62 108 98 72 67 68 65 59 53 56 67 74 84 108 135 140 115 83 67 67 79 68 70 125 223 282 240 159
19 11 1 3 14 33 70 203 699 1234 1587 2047 2641 2909 2676 2264 1885 1560 1330 1198 1231 1492 1609 1666 1614 1496 1328 1115 988 984 930 805 672 591 525 446 337 221 135 81 61 56 49 41 33 24 15 5 0 1 5 5 3 10 14 16 15 20 27 31 31 31 32 33 33 31 28 26 26 24 24 25 25 25 24 24 25 27 32 38 41 44 43 41 38 36 33 29 28 28 28 32 35 33 29 20 12 6 4 6 9 11 13 14 15 17 19 21 21 22 29 35 34 35 36 36 37 40 46 51 56 60 63 63 58 47 38 31 22 20 18 20 30 34 34 36 40 42 39 35 31 25 15 2 0 0 0 0 0 2 7 11 16 23 26 20 17 17 23 47 94 98 81 68 64 59 49 42 45 55 61 68 90 122 135 120 90 83 89 93 85 108 192 307 371 306 201
13 10 1 2 12 36 71 160 670 1211 1594 2030 2539 2854 2787 2400 2015 1777 1661 1529 1579 1760 1733 1658 1595 1468 1270 1092 996 940 857 767 694 651 598 505 365 237 156 90 64 54 41 33 30 23 13 1 0 0 4 4 5 11 15 15 16 22 29 33 33 31 31 32 31 30 30 29 29 28 26 25 24 23 23 24 26 29 32 36 38 40 40 38 36 35 34 30 29 29 31 36 39 37 31 22 12 7 7 8 10 12 14 16 16 14 16 21 23 21 25 29 32 34 35 35 36 38 42 49 55 58 59 59 54 44 36 28 21 18 17 16 27 31 34 39 41 39 35 30 26 20 10 0 0 0 0 0 0 2 6 9 13 20 25 16 8 11 18 35 63 80 85 70 54 47 41 38 40 47 49 53 73 111 130 123 110 109 115 118 114 145 245 388 486 373 180
5 4 1 1 13 39 75 166 649 1153 1523 1852 2247 2635 2769 2577 2275 1977 1875 1784 1730 1726 1589 1479 1482 1434 1261 1084 990 944 871 753 709 708 649 549 394 271 181 99 66 55 40 30 27 20 13 4 2 1 2 2 5 11 14 13 16 23 29 32 31 30 30 32 30 28 28 27 27 27 26 24 23 23 23 25 27 29 31 33 35 36 37 36 35 36 34 32 30 30 32 36 39 38 32 23 14 9 9 10 11 15 12 14 19 18 17 20 22 23 27 32 35 35 34 37 37 37 38 44 50 55 57 56 51 43 35 31 23 18 13 16 21 26 32 38 39 36 29 26 22 16 6 1 0 0 0 0 0 1 5 9 13 16 14 4 2 5 12 22 38 61 80 72 50 39 38 38 41 46 45 47 65 97 126 135 127 116 119 130 138 177 294 414 431 286 225
1 1 1 2 19 45 84 227 636 1061 1385 1654 2006 2430 2701 2652 2359 2006 1719 1549 1476 1393 1257 1264 1372 1373 1220 1049 937 914 949 861 767 790 695 601 437 311 202 111 71 53 37 29 25 17 6 2 1 1 2 2 5 11 13 13 17 23 27 29 29 29 29 30 25 25 26 25 26 26 25 23 22 22 22 24 26 28 29 30 32 35 37 35 35 35 35 34 33 33 33 35 37 37 32 24 12 6 9 11 12 14 14 19 24 25 23 22 21 22 26 33 35 34 34 36 36 36 36 39 46 51 55 56 52 46 35 32 24 19 14 14 19 26 32 38 37 31 25 23 19 13 4 1 0 0 0 0 0 1 4 9 13 21 22 3 0 2 4 9 18 39 65 72 55 39 38 40 44 48 44 48 63 88 126 153 156 141 127 130 141 173 266 422 559 512 597
1 2 2 2 21 53 98 240 540 909 1219 1462 1793 2225 2533 2518 2168 1664 1272 1077 1049 995 1018 1235 1356 1302 1162 1034 950 885 835 828 810 859 743 632 481 348 228 131 78 55 40 29 24 17 7 1 0 1 2 2 4 9 12 11 17 24 28 30 29 28 28 27 23 25 26 26 26 25 23 21 20 20 21 24 26 27 28 29 30 34 36 38 37 36 35 36 36 35 35 35 35 36 34 25 14 10 11 12 13 14 18 27 32 31 27 24 22 22 27 34 34 33 33 35 36 36 36 41 45 45 52 57 53 50 39 31 22 19 16 13 15 23 31 35 33 26 22 20 16 9 4 1 1 2 2 1 1 3 5 8 13 26 18 2 0 1 1 1 5 19 49 73 61 42 42 44 49 52 49 51 63 80 113 151 168 166 148 138 137 151 229 389 698 991 1111
1 1 1 5 27 64 117 231 452 731 970 1228 1619 2024 2288 2320 1907 1238 917 703 802 858 1084 1373 1350 1216 1115 1039 1012 958 830 842 846 868 793 681 538 391 261 158 93 60 42 30 25 20 12 6 0 1 3 2 3 9 11 9 14 22 27 29 29 28 25 22 21 24 24 23 22 21 21 19 18 18 20 23 25 26 27 28 30 33 35 36 36 34 34 35 36 36 37 37 36 37 35 28 19 15 14 14 14 15 21 29 37 38 31 27 24 24 28 33 33 33 33 35 38 38 36 37 40 40 49 55 54 52 45 34 24 19 19 21 20 19 26 30 27 24 21 18 12 7 6 7 8 8 9 8 8 9 10 5 14 28 9 1 0 0 0 0 1 10 35 66 53 44 43 46 51 54 55 55 63 75 96 125 148 165 161 146 126 130 189 355 683 1044 1192
2 2 2 11 41 80 136 236 409 616 803 1028 1431 1831 2122 2271 1890 1205 1085 801 957 1224 1494 1572 1380 1196 1109 1035 975 964 955 930 893 889 844 726 587 433 302 195 108 60 41 32 26 23 17 9 0 0 1 1 5 8 10 10 14 21 26 30 30 28 24 18 16 19 21 21 19 18 18 17 17 19 20 22 24 24 25 28 32 34 35 33 31 32 34 36 37 37 38 40 40 38 35 31 23 19 17 17 18 19 24 32 41 44 37 32 28 27 28 30 32 33 35 37 39 41 40 39 41 41 47 53 53 52 50 41 30 23 22 23 21 17 19 23 23 21 19 17 10 8 9 10 10 12 14 16 17 17 15 3 20 15 4 0 0 0 0 0 0 5 28 57 54 44 43 47 51 55 58 62 67 73 74 75 101 143 150 132 102 105 146 262 510 805 939
5 6 13 33 59 97 157 243 384 525 662 839 1240 1660 1998 2224 2004 1734 1751 1507 1532 1768 1871 1665 1359 1172 1101 1037 957 901 887 916 956 975 938 806 654 481 341 226 137 77 48 36 30 25 18 12 2 0 0 1 6 9 10 10 12 19 27 32 34 33 28 20 15 14 16 18 16 14 13 13 14 15 18 21 23 25 27 30 33 33 32 32 32 34 36 38 38 39 40 41 41 39 36 33 25 22 22 22 21 22 25 29 40 45 44 39 32 29 29 30 32 34 36 38 39 41 42 42 48 44 47 52 52 53 53 47 36 29 26 25 23 17 14 19 21 19 17 14 9 9 11 15 17 18 19 18 18 18 17 12 15 6 0 0 0 0 0 0 0 2 19 47 57 43 40 42 47 54 60 63 66 73 70 60 72 98 105 91 75 81 115 163 273 450 566
9 13 25 51 77 118 177 250 362 465 560 707 1094 1503 1817 2122 2304 2419 2404 2246 2112 2094 1960 1612 1273 1103 1047 1012 959 897 878 934 1009 1037 997 845 671 496 352 235 140 74 45 39 34 29 21 12 3 0 0 1 5 9 10 9 10 17 27 34 39 39 34 23 15 12 12 14 13 11 10 11 11 12 15 18 20 22 24 28 33 33 32 33 34 36 37 39 40 41 42 43 42 39 38 35 26 23 24 23 22 23 26 30 36 41 47 43 36 31 29 30 31 33 36 38 40 41 40 43 48 43 52 56 54 55 56 52 43 34 29 27 22 18 9 14 16 16 13 9 5 6 12 17 18 17 16 16 17 15 13 11 6 1 0 0 0 0 0 0 0 0 10 39 58 45 39 42 47 53 56 54 57 71 62 52 62 71 68 58 55 61 67 78 129 201 253
17 20 32 53 96 140 193 261 354 432 497 617 969 1364 1638 1920 2259 2486 2500 2325 2084 1890 1647 1359 1155 1053 1004 985 957 924 938 1006 1128 1110 1042 877 690 516 375 258 156 86 54 44 38 31 24 12 4 3 2 1 4 8 10 10 10 16 26 34 43 44 40 28 18 13 11 11 10 10 10 10 10 10 12 16 17 22 25 30 33 34 35 36 38 37 35 35 38 41 41 43 40 39 38 34 28 26 27 27 25 24 26 29 33 37 44 46 42 35 32 31 31 34 38 40 41 42 43 44 49 49 61 64 60 59 60 56 47 38 32 28 22 15 9 9 11 11 8 5 4 10 19 18 16 15 12 12 13 8 5 3 1 0 0 0 0 0 0 0 0 0 2 31 52 50 43 42 45 47 48 44 48 54 51 46 50 53 51 48 46 49 53 56 69 100 135
26 27 47 82 118 156 206 272 350 408 457 586 896 1256 1511 1714 1969 2185 2191 1966 1729 1502 1296 1128 1045 1002 993 991 957 938 992 1077 1182 1177 1052 871 681 528 402 275 170 101 63 48 44 37 29 20 8 6 4 3 4 8 11 11 10 14 25 34 45 48 47 36 23 14 11 10 10 10 10 10 11 11 12 14 15 23 29 32 34 36 38 40 40 36 32 30 32 36 36 37 35 34 30 28 27 29 30 30 27 26 26 28 35 35 38 45 46 41 36 33 33 36 39 43 47 47 48 48 53 62 71 72 67 65 64 59 48 37 33 30 23 17 10 7 6 6 4 3 8 19 21 16 12 9 8 10 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 21 43 47 37 33 32 35 39 35 35 38 40 38 38 38 42 44 40 41 47 55 64 69 79
30 30 47 90 132 171 220 282 350 393 449 621 919 1232 1437 1586 1756 1837 1784 1602 1443 1177 994 900 939 961 985 978 933 915 1015 1213 1224 1172 1015 805 643 522 402 280 185 124 82 56 49 43 33 22 8 7 5 5 6 9 12 12 12 15 22 33 45 53 54 45 30 17 11 10 10 10 11 11 11 12 13 15 19 27 31 34 35 35 36 35 34 31 29 29 30 31 30 31 28 25 23 24 27 31 32 30 26 24 26 27 33 37 39 43 45 42 39 37 36 37 40 44 49 50 52 55 63 70 77 79 75 71 68 60 50 40 34 30 26 20 14 8 6 4 3 5 13 23 19 12 8 6 4 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 3 20 46 46 23 21 19 23 26 25 22 19 20 20 23 27 32 34 32 33 47 62 87 86 90
34 41 67 107 142 182 235 295 353 389 472 733 1034 1262 1401 1567 1718 1630 1500 1317 1195 979 837 799 873 971 1015 997 959 1000 1162 1302 1271 1133 947 743 585 467 370 285 215 166 120 75 50 43 33 18 7 6 6 5 7 11 14 14 13 15 21 32 47 58 63 50 38 24 15 13 13 13 12 12 13 15 17 19 24 29 31 31 31 31 31 30 28 26 25 26 27 28 28 27 23 20 21 24 29 34 33 27 22 20 23 29 34 37 40 41 39 36 34 33 32 33 35 38 44 47 50 56 65 72 79 81 80 77 72 62 50 41 37 33 28 23 17 10 5 4 4 9 19 22 16 8 3 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 3 24 55 49 17 13 13 15 17 18 17 13 11 11 13 17 22 24 26 34 51 95 126 125 124
43 60 101 143 162 195 250 310 364 405 495 829 1121 1279 1369 1496 1601 1501 1316 1123 997 891 815 825 897 1001 1041 995 960 1033 1193 1306 1263 1083 893 714 552 435 367 313 256 207 158 97 52 40 28 7 5 6 6 6 8 12 14 15 15 17 22 32 48 59 68 54 43 29 20 16 14 13 13 14 16 18 19 21 23 26 25 25 25 25 24 23 21 20 21 20 20 22 23 23 20 20 22 26 31 33 31 28 22 21 21 27 35 38 40 39 32 27 25 22 20 22 23 24 28 32 35 43 53 63 70 73 75 77 72 62 49 42 41 37 31 26 20 13 7 4 6 14 22 19 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 17 53 40 15 10 10 10 12 15 15 12 11 11 10 12 17 20 27 41 66 108 130 128 124
58 91 137 163 180 210 268 332 381 422 583 922 1189 1303 1351 1412 1461 1398 1205 1029 933 897 885 936 977 989 981 955 968 1077 1240 1323 1231 1035 865 705 547 455 394 333 277 236 191 124 63 38 26 9 3 6 7 7 10 12 14 14 15 17 23 32 47 59 69 60 49 35 24 17 14 12 13 14 16 17 18 19 21 23 20 19 18 17 16 14 14 15 16 16 15 18 21 22 20 22 26 29 31 31 27 23 21 20 21 24 34 38 40 38 32 25 21 17 15 16 16 16 18 18 19 24 31 38 46 51 57 64 65 59 48 41 42 40 35 29 22 15 8 5 8 21 22 13 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 19 54 45 12 9 11 11 13 15 15 13 12 12 11 13 16 20 31 49 78 106 110 97 88
69 111 158 169 195 229 293 355 403 447 736 1016 1193 1282 1330 1367 1354 1249 1114 1003 918 920 974 1005 1004 979 953 946 1006 1146 1286 1307 1172 991 856 702 568 498 427 362 315 274 218 141 72 37 22 8 2 5 7 8 10 13 14 14 15 17 23 34 47 61 70 67 56 41 28 19 14 12 12 13 15 17 18 19 21 22 20 18 16 15 15 15 14 13 13 15 14 20 22 23 23 25 29 31 29 26 22 20 21 18 20 21 32 38 39 38 33 28 23 19 16 16 16 15 17 17 17 17 19 21 23 28 36 45 53 52 45 41 42 42 37 31 24 16 7 5 7 22 15 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 3 8 24 63 39 13 9 11 14 16 16 14 13 14 15 15 11 14 18 28 48 70 71 56 48 49
67 91 143 177 209 250 314 372 420 478 772 1062 1212 1296 1351 1353 1271 1133 1039 988 911 934 1044 1098 1072 1048 1027 1019 1080 1212 1303 1249 1090 940 823 685 577 525 465 406 357 302 232 155 82 35 17 8 1 5 7 7 8 11 14 14 14 16 23 36 47 60 79 81 64 48 33 23 17 13 12 14 18 22 22 21 21 21 20 19 19 18 18 18 18 18 16 17 17 20 23 25 27 29 30 29 25 21 19 21 21 19 19 20 27 34 37 38 34 30 25 22 20 18 17 17 16 17 17 17 17 17 16 15 23 32 40 44 41 42 45 44 39 32 25 17 7 6 12 19 9 2 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 11 6 1 2 6 10 9 64 28 8 6 10 14 17 16 15 14 15 16 11 8 12 15 24 40 50 46 40 37 37
56 61 118 184 229 273 329 382 430 554 838 1112 1287 1377 1419 1392 1262 1090 1007 1009 963 996 1136 1240 1209 1169 1149 1138 1175 1250 1275 1197 1048 909 810 709 611 554 501 442 397 347 274 184 93 33 16 4 2 5 6 6 7 9 10 11 12 16 24 36 47 70 157 208 115 57 41 28 22 16 14 16 20 24 25 25 23 22 21 21 21 22 24 24 22 22 20 21 22 25 27 29 30 30 28 24 19 18 15 17 18 15 13 16 21 27 33 36 35 32 28 24 22 20 19 18 17 16 16 16 15 15 15 15 21 28 35 39 40 42 46 46 39 31 26 19 10 10 21 17 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 9 26 34 25 8 6 6 9 7 36 26 9 5 9 15 17 17 16 15 14 14 11 9 11 12 19 30 38 40 38 35 33
45 44 102 183 245 290 337 383 432 600 918 1169 1352 1461 1514 1463 1275 1081 1048 1078 1057 1100 1265 1338 1356 1302 1246 1216 1224 1244 1223 1149 1032 902 795 707 620 538 486 461 439 385 292 183 80 29 17 5 3 4 5 6 6 7 7 8 11 16 24 35 46 67 211 346 198 78 49 35 28 23 19 19 22 23 25 25 24 23 23 24 25 28 29 29 26 22 21 21 24 27 30 31 29 25 22 20 17 17 16 16 15 13 11 13 16 20 26 31 33 32 29 26 24 21 20 18 17 16 15 12 11 11 13 17 22 29 34 38 40 44 49 48 39 31 27 19 13 17 25 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 7 20 36 56 57 25 12 6 4 15 29 18 5 5 9 15 18 17 16 14 13 13 10 8 8 10 13 18 22 27 30 27 26
51 67 135 212 262 298 339 382 432 580 911 1194 1383 1498 1555 1513 1337 1161 1152 1183 1205 1249 1373 1415 1431 1377 1299 1255 1256 1258 1215 1129 1025 923 810 674 600 508 460 459 458 397 274 148 60 28 14 5 3 3 5 7 8 9 8 8 9 14 25 33 42 64 270 424 280 115 57 41 32 27 24 25 26 22 25 25 26 25 25 27 29 31 31 28 22 17 16 19 21 26 29 29 26 21 19 17 13 10 9 10 9 8 7 9 11 14 20 24 28 29 29 28 26 22 20 18 14 12 12 10 9 10 10 15 21 27 32 37 40 44 47 46 38 30 26 19 16 24 26 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 26 65 79 44 21 7 3 15 35 25 2 6 11 17 19 17 16 14 14 11 8 7 7 8 9 10 11 12 15 16 17
42 68 148 221 262 302 342 381 432 525 797 1188 1406 1498 1547 1529 1417 1291 1260 1308 1364 1391 1444 1454 1438 1398 1342 1305 1297 1284 1235 1158 1071 991 872 717 671 563 516 499 472 393 260 133 56 25 11 3 2 4 6 8 11 13 11 8 10 15 27 34 44 101 326 390 240 106 62 45 35 31 29 28 29 24 25 26 27 27 27 30 31 30 27 24 19 13 12 15 18 22 25 26 24 20 17 12 8 5 4 3 3 3 4 4 5 8 13 19 24 28 30 29 26 22 22 20 15 12 11 10 10 11 12 13 18 23 28 34 39 43 46 44 37 29 22 16 19 28 24 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 41 51 38 19 7 6 19 31 21 4 5 12 18 18 17 17 15 12 9 6 5 4 4 4 5 5 7 8 9 9
53 91 191 257 274 302 335 371 423 508 753 1161 1400 1487 1531 1540 1498 1432 1403 1446 1483 1476 1470 1454 1426 1404 1387 1373 1362 1331 1264 1189 1141 1051 936 813 759 669 613 565 497 387 247 124 51 19 7 4 3 4 7 10 13 15 14 12 16 24 35 44 58 152 360 432 308 152 71 48 39 34 32 32 33 27 25 26 26 27 28 29 29 27 23 17 13 11 11 12 15 19 22 24 24 20 15 9 6 3 4 4 4 4 4 5 5 5 8 13 20 27 32 32 29 26 24 21 18 15 13 11 9 9 11 13 16 19 24 30 36 40 43 42 37 27 19 15 21 28 19 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 20 16 8 3 12 31 33 10 3 7 14 17 16 17 16 14 11 8 5 2 1 2 3 4 4 5 5 6 5
56 80 149 221 262 291 331 381 424 512 706 1105 1378 1477 1535 1608 1637 1602 1563 1557 1558 1539 1496 1470 1431 1409 1404 1410 1387 1341 1296 1238 1182 1093 996 914 863 784 707 625 520 385 241 117 41 12 3 4 2 3 6 11 15 17 16 18 23 32 43 54 75 175 357 443 375 220 95 56 47 39 35 35 35 29 26 26 26 27 29 30 30 27 21 13 11 11 10 11 14 18 21 25 25 22 17 11 9 5 4 4 4 4 5 5 5 5 6 7 12 22 29 32 31 29 27 23 20 17 15 13 12 9 11 14 16 18 23 28 31 36 40 42 35 25 17 13 22 28 18 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 4 2 4 15 25 21 8 2 8 15 16 16 17 16 12 9 7 4 1 1 2 3 4 4 4 4 3 3
72 99 121 178 240 270 302 351 421 518 674 1040 1348 1456 1524 1649 1747 1751 1697 1623 1578 1540 1480 1437 1408 1401 1392 1409 1406 1370 1332 1279 1208 1130 1061 1022 973 888 790 676 536 371 213 98 31 8 5 4 1 2 5 11 17 20 21 23 29 38 50 66 111 230 407 479 421 276 138 78 58 47 42 40 36 31 27 26 27 29 32 32 29 24 20 13 10 8 8 10 13 18 22 25 26 23 17 14 12 8 6 5 5 5 5 5 5 6 6 4 5 14 21 27 31 31 29 28 24 22 17 17 16 15 15 16 17 20 21 22 24 32 37 40 35 25 16 14 24 31 18 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 3 12 20 19 0 3 9 14 16 17 17 16 13 9 8 5 3 3 3 3 4 4 4 4 3 2
96 124 119 129 161 189 211 244 331 481 679 958 1259 1405 1510 1661 1787 1834 1808 1711 1604 1532 1464 1420 1400 1408 1401 1408 1395 1349 1316 1298 1245 1173 1127 1099 1047 952 834 696 534 351 183 77 26 12 12 6 2 2 4 10 18 24 27 29 32 41 62 131 274 445 562 605 507 316 170 101 72 57 51 46 40 32 28 27 28 31 33 31 26 19 15 12 9 6 7 10 14 18 22 25 27 26 21 17 15 13 10 7 6 5 5 6 5 5 5 5 5 8 12 17 23 28 31 30 29 26 21 19 18 18 19 19 18 21 24 25 24 28 35 38 36 28 19 16 26 32 16 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 16 31 7 5 10 15 19 21 19 16 14 11 9 7 6 5 5 5 4 4 4 3 3 3
104 118 106 101 125 161 190 213 255 379 600 868 1157 1349 1499 1656 1776 1835 1837 1757 1626 1529 1454 1407 1399 1419 1424 1420 1401 1371 1345 1319 1271 1216 1184 1160 1097 988 850 693 522 341 178 72 27 18 15 10 5 2 4 9 18 27 33 35 37 48 93 338 606 748 742 693 557 363 236 169 116 66 57 50 40 31 29 28 28 32 34 32 26 18 13 12 10 7 9 12 15 18 22 25 28 28 25 23 21 19 16 12 8 5 5 5 4 4 4 4 4 5 6 8 11 15 19 24 24 23 22 19 18 19 21 21 19 21 25 30 30 29 32 39 39 32 22 19 27 33 16 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 12 22 15 9 11 15 21 24 21 17 15 13 11 9 7 6 7 6 5 5 4 4 3 2
120 135 140 145 174 212 239 255 267 310 425 757 1051 1276 1456 1616 1737 1800 1807 1760 1657 1544 1457 1420 1423 1441 1446 1428 1398 1368 1345 1322 1280 1245 1217 1189 1119 993 850 691 515 340 188 82 31 19 16 13 7 2 2 7 15 25 34 39 45 55 139 516 877 969 857 721 619 545 481 349 171 63 61 52 38 32 31 31 31 34 36 33 27 17 14 12 10 7 8 11 14 19 22 25 28 29 28 29 28 26 23 17 11 8 7 6 5 4 4 4 4 5 5 5 6 7 9 12 13 14 13 15 16 17 19 20 20 20 23 28 31 32 35 40 42 36 27 23 31 35 19 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 12 19 18 12 11 15 18 22 20 17 15 14 12 11 9 8 8 7 7 6 4 4 3 3
132 134 149 176 214 251 279 298 312 331 376 689 963 1185 1369 1521 1650 1725 1746 1740 1679 1583 1504 1466 1457 1458 1447 1417 1384 1358 1340 1322 1272 1244 1222 1185 1114 986 840 681 507 336 195 94 37 21 17 9 5 1 1 5 11 20 32 43 51 61 169 514 893 1011 855 649 572 588 557 418 153 71 64 53 41 36 35 35 36 37 38 37 32 20 16 13 10 5 4 6 11 17 21 24 28 30 29 28 29 27 25 23 20 16 14 13 12 9 5 6 7 6 6 5 5 5 5 6 7 10 11 12 13 15 16 17 19 18 19 20 20 27 32 36 41 39 32 27 34 39 19 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 10 18 17 11 10 14 16 18 16 15 16 14 12 12 12 9 8 7 6 7 6 5 4 3
142 150 172 208 242 278 312 336 346 345 367 647 916 1127 1287 1420 1545 1625 1654 1668 1659 1621 1555 1503 1477 1455 1429 1390 1364 1347 1329 1310 1252 1227 1200 1151 1075 958 822 670 501 333 198 104 43 23 18 8 2 2 2 3 7 13 27 44 57 69 146 383 695 821 702 490 373 392 400 270 120 76 62 49 42 39 38 39 40 41 41 40 37 26 20 16 12 7 3 3 7 11 19 24 28 30 30 32 31 29 28 26 24 23 22 22 20 15 10 10 11 10 7 6 6 5 5 6 6 7 8 8 9 10 11 13 13 12 14 15 15 20 28 35 40 40 36 31 40 43 17 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 10 18 18 9 8 12 15 15 14 13 14 14 13 13 13 11 7 5 4 6 6 5 4 4
144 174 198 221 248 294 345 373 380 378 385 580 838 1052 1186 1302 1431 1522 1557 1577 1599 1622 1595 1541 1504 1453 1413 1382 1367 1353 1331 1308 1255 1202 1141 1074 1006 924 812 676 516 344 198 102 45 25 18 13 6 5 3 3 5 11 23 41 61 79 114 263 454 533 462 315 203 177 184 148 97 66 51 44 41 39 40 41 43 44 45 43 40 31 24 20 16 12 8 7 7 8 16 23 25 27 28 29 30 31 31 30 28 27 25 26 25 22 17 14 13 12 9 7 5 6 3 6 6 6 6 7 7 7 8 9 8 8 10 9 11 15 21 28 35 40 38 37 48 44 20 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 17 20 12 6 9 14 14 13 12 13 14 14 13 14 12 8 6 6 6 6 5 4 3
124 166 200 231 266 313 357 383 397 410 428 550 767 975 1120 1232 1334 1420 1478 1512 1527 1549 1555 1505 1488 1451 1420 1406 1389 1362 1331 1296 1246 1174 1097 1023 964 909 818 703 558 380 210 97 44 27 21 15 10 8 6 4 5 9 19 38 57 84 106 182 258 286 247 173 110 82 81 80 68 56 48 43 41 39 38 39 43 47 48 46 42 35 28 23 19 16 14 13 12 11 16 21 22 24 26 28 30 32 33 32 31 30 29 28 27 25 23 20 17 13 10 8 7 6 5 5 5 5 6 7 7 7 8 9 8 8 9 8 8 10 15 19 26 38 38 44 51 45 25 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 15 20 16 6 8 13 14 14 14 15 17 17 14 14 12 9 7 6 5 4 3 3 3
89 135 183 230 276 322 362 392 416 444 491 582 715 908 1088 1182 1244 1333 1419 1456 1469 1481 1501 1496 1471 1443 1426 1423 1420 1390 1331 1276 1231 1153 1073 988 935 895 830 739 607 428 243 119 59 33 25 19 15 12 8 4 4 9 16 34 51 81 96 113 135 142 124 94 71 60 58 59 57 55 52 48 45 41 40 41 44 48 49 47 43 38 30 25 21 18 17 17 17 17 19 22 23 25 27 28 29 32 34 34 33 32 32 31 29 28 27 26 23 18 12 10 10 8 6 5 4 5 5 6 8 6 8 9 8 8 9 9 9 9 10 16 22 31 35 45 52 46 29 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 14 20 17 10 10 13 15 15 15 16 20 21 19 16 13 10 8 6 5 4 3 3 3
52 91 143 202 264 324 375 416 453 492 537 593 634 831 1035 1087 1171 1289 1367 1404 1425 1431 1427 1433 1418 1399 1387 1391 1399 1385 1346 1300 1247 1167 1096 983 902 862 821 751 628 459 298 184 98 43 27 20 16 14 10 6 6 9 13 30 47 71 83 87 91 89 79 69 62 55 54 64 68 67 61 56 52 48 46 46 48 49 50 47 43 37 31 26 23 21 20 19 20 21 23 24 25 27 30 32 34 36 36 35 35 34 34 33 32 30 29 29 28 25 21 17 15 12 10 7 5 5 5 5 6 6 7 7 8 9 9 9 9 10 10 14 19 26 33 44 53 48 32 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 18 16 14 13 14 16 17 17 19 22 24 21 17 14 10 9 9 7 6 5 5 3
24 52 103 173 249 323 389 444 490 527 557 609 570 779 970 1014 1119 1245 1319 1361 1381 1373 1357 1350 1342 1326 1320 1322 1331 1336 1324 1296 1254 1196 1119 1004 913 864 817 751 648 511 375 259 159 86 48 27 19 15 11 8 8 9 13 26 42 60 74 83 87 85 77 72 71 65 65 81 106 107 87 68 58 53 51 50 50 51 50 47 43 36 31 27 25 23 23 22 23 25 27 26 27 29 31 33 36 37 39 39 39 37 36 35 34 33 31 31 30 29 27 24 21 18 14 12 9 7 6 6 5 6 6 7 9 10 10 10 10 10 10 13 18 25 30 42 51 47 32 16 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 15 14 13 13 14 16 18 18 19 23 24 20 15 13 12 11 11 10 9 6 6 5
6 21 68 153 243 326 402 461 502 534 574 629 481 703 901 983 1075 1180 1249 1281 1296 1295 1275 1270 1268 1244 1240 1257 1274 1279 1268 1244 1210 1183 1102 1032 971 888 826 779 720 632 510 367 290 199 137 71 33 19 14 10 9 8 10 21 37 52 67 81 96 141 198 195 120 95 92 133 222 307 286 163 73 56 53 53 53 52 51 49 44 37 33 30 27 25 25 25 26 28 29 29 29 30 30 30 33 37 39 41 42 41 39 37 36 35 33 32 31 30 29 26 23 22 21 17 13 10 9 8 7 6 7 7 8 10 12 13 13 14 12 12 17 24 30 40 48 45 32 17 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 11 12 11 11 13 15 17 18 20 22 22 19 16 14 12 11 9 8 8 6 6 5
4 20 68 148 246 333 402 455 491 518 560 595 487 664 852 952 1024 1091 1135 1156 1177 1195 1175 1173 1171 1144 1106 1146 1187 1192 1182 1159 1123 1104 1044 1018 940 815 775 778 762 730 665 528 459 341 264 141 57 26 18 14 10 7 7 16 35 49 65 81 111 203 286 270 223 153 92 163 263 367 424 305 137 67 60 57 55 54 53 54 50 45 42 37 31 27 27 28 30 29 29 30 31 30 28 28 31 36 40 41 42 42 41 39 38 37 36 33 32 31 31 29 26 24 23 21 18 14 11 8 9 7 7 7 7 8 11 13 14 14 13 14 17 23 29 37 45 46 36 21 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 10 9 9 12 14 16 18 20 22 22 21 18 15 13 12 10 11 8 7 6 6
67 34 94 137 234 313 373 427 464 478 495 535 584 714 835 902 942 976 997 1012 1038 1058 1039 1047 1065 1054 986 996 1018 1024 1041 1053 1047 1032 985 946 878 754 715 729 728 714 689 614 541 434 314 158 64 35 29 20 13 10 6 8 32 50 68 124 187 218 207 189 189 155 93 100 134 181 272 288 205 119 85 68 60 60 63 64 63 65 62 52 41 33 30 31 32 31 29 28 29 31 29 27 27 32 39 42 44 45 43 41 40 39 37 33 31 30 30 29 28 25 22 22 23 17 13 6 8 7 7 7 7 7 9 12 14 16 15 17 19 24 28 35 44 48 38 25 11 3 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 5 6 10 15 17 18 19 21 22 22 21 17 14 14 12 9 8 8 7 7
56 29 80 116 190 252 311 381 433 440 431 474 594 744 825 839 829 836 846 860 896 922 910 915 941 954 913 902 909 908 917 946 972 976 926 882 839 749 687 672 671 661 644 617 549 461 314 182 140 106 60 28 20 28 15 5 28 48 69 99 120 140 156 142 109 91 63 49 45 52 114 196 214 160 109 81 71 82 91 84 79 71 58 50 47 45 39 35 33 33 31 30 31 33 31 27 25 30 36 42 50 51 46 42 41 39 36 32 30 28 28 28 28 26 22 19 22 15 17 9 7 6 6 7 7 7 8 9 13 18 18 19 23 29 32 37 47 52 44 34 18 4 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 4 7 14 17 19 20 20 21 22 23 20 15 14 12 12 11 10 14 23
48 42 62 98 149 195 251 328 391 402 386 421 542 718 814 807 735 692 695 726 772 806 805 809 834 857 840 829 825 809 795 820 867 896 845 799 776 716 659 611 580 579 591 584 527 438 327 272 260 197 95 29 24 33 18 7 21 49 68 63 58 71 86 80 66 53 44 39 35 32 35 63 100 102 74 51 58 97 113 97 80 53 29 28 41 51 52 45 37 33 33 33 34 34 33 29 25 27 32 41 49 48 44 42 40 37 32 29 27 25 25 24 24 26 26 22 19 16 18 14 9 7 6 6 6 7 9 9 10 13 18 22 27 33 35 37 44 46 43 32 19 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 1 1 4 5 11 16 19 20 20 20 21 23 23 18 16 14 12 10 10 25 56
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