Vorticity
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nan 14 14 13 12 12 11 11 11 11 11 11 12 12 11 10 10 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 11 12 13 13 13 13 12 12 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 8 9 9 10 10 10 9 9 8 8 8 8 8 8 9 9 10 11 13 13 14 14 14 14 14 14 14 13 12 10 9 9 10 11 12 13 13 13 12 12 11 10 10 9 9 9 9 9 10 11 11 11 12 12 12 12 12 11 10 10 10 11 11 12 12 13 13 13 12 12 11 11 10 10 9 9 9 9 9 10 11 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 14 14 13 13 12 11 11 10 10 9 9 9 9 9 10 nan
nan 14 13 13 13 12 12 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 11 12 13 14 13 13 12 12 11 11 11 11 11 11 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 6 7 7 8 9 10 10 10 10 10 9 9 9 9 9 9 8 9 10 11 13 14 15 15 15 15 15 15 14 12 11 10 9 10 11 13 14 14 14 14 13 12 11 10 10 9 9 8 8 9 10 11 12 11 11 11 11 12 12 11 11 10 10 11 11 12 12 12 13 12 12 11 11 10 10 9 9 9 9 10 10 11 12 13 13 13 13 12 12 11 11 11 11 12 12 12 12 12 12 12 12 13 13 14 14 14 14 14 14 13 12 12 11 11 10 10 10 9 9 10 10 10 nan
nan 13 13 13 12 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 11 13 14 14 13 13 12 11 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 10 10 10 9 9 9 8 7 6 6 6 6 7 8 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 12 13 15 15 15 15 14 14 13 12 11 10 9 10 11 13 14 15 15 15 14 13 12 11 10 9 9 8 8 8 9 10 11 12 12 11 11 11 12 12 12 11 10 10 11 11 12 12 12 12 12 12 11 10 10 9 9 9 9 10 10 11 12 12 13 12 12 12 11 11 11 11 11 12 12 12 13 13 12 12 12 12 13 13 14 14 14 14 14 13 13 12 12 11 11 10 10 10 10 10 10 10 10 nan
nan 13 13 12 12 11 10 10 10 11 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 8 8 7 8 8 10 11 13 13 13 13 12 12 11 10 10 10 10 10 10 10 10 9 10 9 9 9 9 9 10 10 10 10 10 10 9 8 8 7 6 6 6 6 7 8 9 10 10 11 11 11 12 11 11 11 10 10 11 11 12 13 14 15 14 13 13 12 12 12 11 10 10 10 11 13 14 15 15 15 14 12 11 10 9 9 8 8 8 8 8 9 10 11 12 12 12 12 13 13 13 12 11 10 10 11 11 11 12 12 12 12 11 11 10 9 9 9 10 10 11 11 12 12 13 13 12 11 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 nan
nan 13 13 12 12 11 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 10 10 9 9 8 8 8 8 9 10 12 12 13 13 13 12 11 11 10 9 9 9 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 9 10 10 11 11 12 12 12 12 12 11 11 11 11 12 13 14 16 16 15 14 12 11 11 10 10 10 10 11 12 13 15 15 15 14 13 11 10 10 9 9 8 8 8 8 8 8 9 10 11 12 12 13 13 14 14 13 13 11 10 10 11 11 11 12 12 12 11 11 10 10 9 10 10 10 11 11 12 12 12 12 12 12 11 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 11 11 11 11 10 10 10 10 10 10 nan
nan 13 12 12 11 11 10 10 10 10 10 9 8 8 8 8 9 9 9 10 10 10 10 9 9 8 8 8 9 10 11 12 13 13 13 13 12 11 10 9 9 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 10 10 9 10 10 12 14 16 18 18 17 15 13 11 10 10 10 10 11 12 14 15 15 15 15 13 12 10 9 9 9 9 8 8 8 8 8 8 9 10 11 12 13 13 13 14 14 13 13 11 11 10 10 11 11 12 12 11 11 11 10 10 10 10 11 11 11 11 12 11 11 11 11 11 11 11 10 10 10 11 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 nan
nan 12 12 12 12 11 11 10 10 10 10 9 9 8 9 9 9 9 8 9 9 9 9 9 9 8 8 9 10 11 12 13 14 14 14 13 12 11 10 9 8 8 7 7 8 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 10 9 9 8 8 9 10 12 15 17 19 19 17 16 13 11 11 11 11 12 13 15 15 15 15 14 13 12 11 10 9 9 9 9 9 8 8 8 8 8 9 10 11 12 13 13 14 14 14 13 12 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 11 11 10 10 10 nan
nan 12 13 13 12 12 11 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 8 8 8 9 10 12 13 14 14 14 14 13 12 11 10 9 8 7 7 7 8 8 9 10 10 10 10 10 10 9 9 9 10 10 11 11 12 13 13 13 12 12 11 11 11 12 12 12 12 11 10 9 8 8 8 9 10 11 13 16 18 19 19 17 15 13 11 11 11 12 13 14 14 14 12 12 11 10 10 10 9 9 9 9 8 8 8 8 8 8 8 9 10 10 11 12 13 14 14 14 13 12 11 11 11 11 11 12 12 12 12 12 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 11 nan
nan 13 13 13 12 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 12 14 14 15 15 14 13 12 11 10 9 8 7 7 8 8 8 9 10 10 10 10 10 10 9 9 10 10 11 12 12 13 13 13 12 11 11 10 10 10 10 11 11 11 11 10 10 9 9 9 10 11 12 14 17 19 19 18 17 15 13 11 10 10 10 11 11 11 10 9 9 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 12 13 14 15 14 13 12 11 11 11 11 12 12 12 12 12 12 12 11 11 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 13 13 13 12 11 10 10 10 10 10 9 9 9 9 9 9 8 8 7 7 7 7 8 7 8 8 9 11 13 14 14 15 15 14 13 12 11 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 12 13 13 13 12 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 12 14 17 18 19 18 16 14 13 11 10 10 10 10 9 9 9 9 9 9 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 11 12 13 14 15 14 13 12 12 11 11 11 12 12 12 11 11 11 11 11 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 12 11 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 9 11 12 14 14 15 15 14 13 12 11 10 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 9 10 10 11 12 12 13 12 12 10 9 8 8 8 8 8 8 9 9 10 10 11 11 12 12 12 12 12 14 16 18 18 18 16 14 13 11 10 9 10 10 10 10 11 11 11 11 11 10 10 10 9 8 8 8 9 10 10 10 9 8 8 10 12 13 14 14 15 14 13 13 12 11 11 11 11 12 11 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 nan
nan 12 12 12 11 11 10 11 11 10 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 8 10 11 13 14 14 15 14 13 12 11 11 10 10 10 9 9 8 8 8 8 8 8 7 7 7 8 8 9 10 10 11 12 12 12 12 11 10 9 8 7 7 7 8 8 8 8 9 10 10 11 12 12 12 12 12 13 14 16 17 17 16 14 13 11 10 10 10 11 11 12 12 12 12 11 11 10 10 9 9 8 8 8 9 11 11 10 9 9 10 12 14 15 15 15 15 14 13 12 12 11 11 11 11 12 12 11 11 12 12 12 12 12 11 11 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 8 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 nan
nan 12 12 12 12 11 11 11 11 10 9 9 9 9 9 10 10 9 9 8 8 7 7 7 7 7 9 10 12 13 14 14 15 14 13 12 12 11 10 10 10 9 9 8 8 8 8 7 7 7 7 7 7 8 8 9 10 11 11 12 12 12 11 10 9 8 8 7 7 8 8 8 8 9 9 10 10 11 12 12 12 12 13 13 14 15 15 14 13 13 12 11 11 11 12 12 12 12 12 11 11 10 10 10 9 9 8 8 8 9 11 11 11 11 11 13 14 15 15 15 15 14 13 12 11 11 10 10 11 11 12 12 12 12 12 12 12 12 11 10 10 9 9 8 8 9 9 9 9 10 10 10 9 9 9 9 8 8 9 9 9 9 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 nan
nan 13 13 13 13 12 12 11 10 10 10 10 9 9 10 10 10 9 9 8 8 7 7 7 7 8 9 11 12 13 14 14 14 14 13 12 12 11 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 8 8 9 10 10 11 11 11 10 9 9 9 8 8 8 8 8 8 8 8 9 10 10 11 12 13 13 13 13 13 13 14 14 14 13 12 12 11 12 12 12 12 12 11 11 11 10 10 9 9 9 9 9 8 8 9 10 11 12 13 15 16 16 16 16 15 14 14 13 11 11 10 10 10 10 11 11 12 12 12 12 12 12 11 10 9 9 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 nan
nan 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 8 8 9 11 12 13 14 14 14 14 13 12 12 11 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 10 10 10 10 9 9 9 9 9 9 8 9 9 9 9 9 9 10 12 14 15 15 15 15 14 13 13 13 13 13 12 11 11 11 12 12 12 11 11 10 10 10 9 9 9 9 9 8 8 8 9 10 12 13 16 17 18 17 17 16 15 14 13 12 11 10 9 9 9 10 10 11 11 11 11 11 11 11 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 12 12 12 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 nan
nan 13 13 13 12 12 11 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 7 7 8 9 10 11 12 13 13 14 13 13 13 12 11 11 11 10 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 9 9 9 10 12 14 16 17 18 17 16 14 14 13 13 13 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 9 10 12 14 17 18 18 18 17 16 14 13 12 11 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 7 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 9 9 10 10 11 11 11 12 12 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 nan
nan 13 13 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 9 10 11 12 13 13 13 13 13 12 11 11 11 11 11 11 10 10 9 8 7 7 7 6 6 6 6 6 6 7 7 8 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 11 14 16 17 19 19 18 16 14 13 13 13 13 13 12 12 11 10 10 9 9 9 9 9 9 9 9 8 7 7 7 7 9 10 12 15 18 19 18 17 15 14 13 12 12 11 10 10 10 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 12 11 11 10 10 10 9 10 10 10 11 11 12 12 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 nan
nan 13 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 11 11 12 13 14 14 13 12 11 10 11 11 11 11 11 10 9 8 7 6 6 5 5 5 5 6 7 7 8 8 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 14 16 19 20 19 17 16 15 14 15 15 14 14 12 11 10 9 9 9 10 10 10 9 9 9 8 7 6 6 7 8 10 12 16 19 19 18 16 14 12 11 11 11 11 10 10 10 10 10 9 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 12 12 12 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 12 12 12 12 11 11 10 10 10 9 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 11 12 13 13 13 13 13 11 10 10 10 11 11 10 9 8 8 7 6 5 5 5 5 6 6 7 8 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 11 12 13 15 18 19 18 18 17 17 18 18 17 15 13 11 10 9 9 9 10 10 10 10 9 9 9 8 7 7 6 7 7 9 12 16 18 18 18 15 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 12 12 12 11 11 10 10 9 9 9 10 10 11 11 11 11 10 9 9 9 8 8 8 8 9 10 12 13 13 13 13 12 11 11 10 10 10 10 10 9 9 8 7 7 6 6 6 7 7 8 9 9 9 10 10 9 9 9 9 9 10 11 11 11 11 10 10 10 11 11 12 12 12 12 12 13 14 15 16 16 16 15 15 16 17 17 15 13 11 9 8 8 9 10 10 11 11 10 10 10 9 9 8 8 7 7 7 8 11 14 16 17 17 15 12 11 10 9 9 10 10 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 nan
nan 12 12 12 12 12 11 11 10 10 9 10 10 11 11 11 11 11 11 10 10 9 9 8 8 7 7 8 10 12 13 13 13 12 11 11 10 10 10 10 10 10 10 9 8 8 7 7 7 8 8 9 10 10 10 11 11 11 11 10 10 10 10 11 12 12 11 11 10 10 10 10 11 12 12 12 12 12 13 14 14 14 13 12 12 11 12 13 13 12 10 9 8 8 8 9 10 11 12 12 12 12 11 11 10 10 8 7 6 6 8 10 12 14 16 16 14 13 12 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 10 10 11 11 11 11 nan
nan 11 12 12 12 11 11 10 10 10 10 10 11 11 12 12 12 11 11 10 9 9 8 8 8 8 8 9 10 12 13 13 13 11 10 9 9 9 9 10 11 11 10 10 8 7 7 7 8 9 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 10 9 9 10 11 12 13 13 13 13 13 13 13 13 12 12 12 12 12 13 13 12 11 10 9 9 9 9 10 11 12 12 12 12 12 11 10 10 8 7 6 6 7 9 11 13 15 15 14 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 10 10 9 9 10 10 10 11 11 12 12 12 12 12 11 11 11 11 10 10 10 11 11 11 11 nan
nan 12 12 12 11 11 11 10 10 10 11 11 11 12 12 12 12 11 10 10 9 8 8 8 9 9 9 10 11 12 13 13 12 11 10 9 8 8 9 10 10 11 10 10 8 7 7 7 7 8 9 10 11 11 12 12 13 13 14 14 14 14 13 13 13 12 12 11 10 10 10 10 12 13 14 14 14 13 13 13 13 13 13 13 14 15 16 17 17 16 14 11 9 8 8 9 10 11 11 12 12 11 10 9 8 8 7 6 5 6 7 8 10 12 13 13 13 13 13 13 13 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 13 12 12 12 12 11 11 10 10 9 9 9 10 10 10 11 11 11 12 12 12 11 11 11 10 10 11 11 11 11 11 11 nan
nan 12 12 11 11 11 11 11 10 11 11 11 12 12 12 12 11 10 9 8 8 7 8 9 10 10 11 11 12 12 13 13 12 11 10 9 8 7 8 9 10 10 10 9 9 8 8 8 8 9 10 10 11 11 12 13 13 14 14 15 15 15 14 13 13 12 12 12 11 10 10 11 13 15 15 15 14 13 13 12 13 13 13 14 16 17 19 18 17 15 11 8 7 7 7 8 10 10 11 11 11 10 9 8 7 7 6 5 5 5 7 8 9 10 11 11 12 13 13 13 13 13 13 13 12 12 12 11 11 11 10 10 10 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 12 12 12 12 11 10 10 10 9 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 nan
nan 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 8 7 8 8 9 10 11 11 11 12 13 13 13 13 12 11 10 9 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 13 13 13 14 14 15 15 14 14 13 12 12 12 12 12 12 12 12 14 16 16 16 15 14 13 12 12 13 13 14 15 16 16 15 13 10 7 6 6 7 8 9 10 11 11 11 11 11 10 9 8 7 6 5 5 6 6 7 8 9 9 10 10 11 12 13 13 14 14 14 13 13 13 12 12 12 11 11 11 11 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 12 12 12 13 13 13 13 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 10 nan
nan 12 12 11 11 10 10 10 11 11 10 10 9 9 9 8 8 8 7 8 8 10 10 11 11 10 11 12 13 14 14 12 10 10 9 9 9 9 10 10 10 10 10 10 9 10 10 10 11 12 12 13 13 13 13 13 13 13 13 14 14 14 13 13 12 12 13 13 13 12 13 13 14 16 16 16 16 15 13 13 12 12 12 13 13 13 13 12 10 7 6 6 7 8 9 10 11 11 12 12 13 13 11 10 8 7 6 6 6 6 7 7 8 8 8 8 9 10 11 12 13 13 14 14 14 14 14 13 13 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 13 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 nan
nan 12 10 10 9 9 9 10 11 11 10 9 8 7 8 8 8 9 8 8 9 10 10 10 10 10 11 12 14 14 13 11 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 13 13 13 13 14 15 15 16 16 15 13 12 12 12 12 12 12 13 13 13 11 9 8 8 8 9 10 11 11 11 12 12 13 12 12 10 9 8 7 7 7 7 7 8 8 7 7 7 8 9 10 11 12 13 14 14 14 14 14 14 13 13 13 12 12 12 12 13 13 14 13 13 13 13 12 12 13 13 13 13 13 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 10 10 10 nan
nan 10 9 8 8 7 8 9 11 12 11 10 8 7 8 8 9 9 9 8 9 9 10 10 11 12 13 13 14 14 12 10 9 9 9 10 10 10 10 11 11 11 10 10 10 10 9 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 13 13 14 14 15 15 13 12 11 11 11 12 12 13 13 13 13 12 11 10 10 9 10 11 11 11 11 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 11 12 13 14 14 14 14 14 14 13 13 13 12 12 12 12 12 13 12 12 11 11 11 12 12 13 13 13 13 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 11 11 10 9 9 9 10 10 10 nan
nan 9 8 8 8 9 9 10 12 13 13 13 11 9 9 9 9 10 9 9 9 9 10 11 12 13 14 14 14 13 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 10 10 10 10 10 10 11 11 12 12 12 12 13 13 13 13 13 13 13 14 14 14 14 13 12 11 11 11 12 12 13 13 13 12 11 11 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 9 10 12 13 14 14 14 14 14 14 13 13 12 12 11 11 11 11 11 10 10 10 10 10 11 12 13 13 13 13 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 10 10 11 11 11 11 10 10 10 10 10 10 10 nan
nan 10 9 10 11 12 12 11 12 13 14 15 13 10 10 10 10 10 9 9 9 9 10 11 12 13 13 13 13 13 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 10 10 9 9 9 8 7 7 7 8 8 9 10 10 11 11 12 12 13 13 13 13 13 13 13 13 13 14 14 14 14 13 13 12 12 12 12 12 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 7 8 8 10 11 12 13 14 14 14 14 14 13 13 12 11 11 11 11 10 10 9 9 9 10 11 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
134 147 131 92 49 21 11 14 24 42 42 32 20 13 14 16 32 55 72 87 102 112 110 94 82 74 70 85 125 165 172 149 124 107 88 67 48 32 24 24 37 48 46 32 21 23 30 30 24 12 8 9 13 19 27 39 49 50 42 30 19 13 10 8 7 6 6 6 6 6 6 8 10 13 15 18 21 23 24 26 28 30 30 31 31 30 29 30 32 38 44 48 51 55 59 63 68 70 73 74 74 72 68 64 59 52 43 33 23 16 11 9 6 5 4 3 1 0 0 0 0 2 5 2 1 2 3 3 1 0 0 0 0 0 0 0 0 1 5 9 10 10 9 5 5 9 11 10 11 16 20 21 19 15 18 20 22 23 20 15 14 15 17 22 27 28 28 27 26 25 25 23 18 12 12 11 13 12 7 3 2 3 7 13 19 23 26 29 32
201 207 179 132 81 38 22 22 26 36 38 31 21 12 11 13 21 34 47 59 70 83 96 107 107 108 104 101 106 129 166 151 115 78 49 32 23 22 29 46 73 87 79 59 46 57 75 67 42 14 8 10 14 21 30 41 54 50 39 27 16 11 9 8 7 6 6 6 6 6 6 8 11 15 18 21 23 25 28 29 30 31 30 31 31 31 32 35 40 45 51 54 57 61 65 70 74 76 79 80 78 74 69 64 57 48 38 30 22 15 11 8 6 4 2 1 0 0 0 0 1 4 10 8 9 9 7 3 1 0 0 0 0 0 1 1 1 1 6 10 12 12 10 7 11 15 16 14 18 22 23 17 11 19 14 16 21 24 24 23 21 19 20 23 22 22 22 19 15 12 14 15 11 8 22 18 14 9 3 0 3 12 21 26 28 29 30 32 36
157 180 175 148 113 80 51 32 23 21 22 23 20 14 10 11 11 15 22 30 38 50 54 58 72 80 87 86 84 98 155 143 104 64 38 24 21 26 43 66 75 74 62 56 67 102 139 108 57 17 9 11 16 24 34 47 56 47 34 23 15 10 8 8 7 6 6 6 6 6 7 9 13 17 21 24 26 28 30 32 32 30 29 30 31 35 38 43 47 50 54 57 62 67 71 75 77 79 80 80 78 73 67 59 50 41 30 25 18 12 8 6 4 2 1 0 0 0 0 1 3 6 14 13 10 7 3 0 0 0 0 0 0 0 0 1 1 3 11 14 16 16 15 12 21 25 23 18 16 17 16 16 18 19 18 19 23 26 26 26 20 18 18 16 10 11 8 2 0 1 5 11 16 19 24 17 10 6 8 21 28 34 37 38 37 36 36 37 39
67 89 109 124 129 120 76 41 21 14 14 17 23 21 13 10 8 13 21 29 38 68 60 52 57 64 73 83 93 107 129 131 128 112 91 76 75 67 56 47 39 34 37 55 92 154 227 166 85 27 10 12 17 27 39 49 52 43 32 20 13 9 8 8 7 7 6 6 6 7 8 10 14 18 22 25 27 29 32 32 31 28 28 32 37 42 46 48 50 53 56 62 68 73 76 78 77 78 76 73 68 60 51 42 34 26 18 13 8 4 2 1 0 0 0 0 0 0 1 3 5 7 10 7 4 2 1 0 0 0 0 0 1 2 3 4 5 7 12 16 17 17 15 8 20 26 25 22 22 22 20 18 18 21 19 16 16 17 22 21 20 19 18 15 9 12 9 3 2 5 13 22 28 26 17 15 16 21 29 45 50 51 51 49 48 45 43 42 41
87 37 48 84 128 156 119 70 35 18 15 18 27 28 22 15 12 21 33 40 43 69 112 131 134 133 133 135 132 115 88 111 128 124 110 103 113 98 78 55 37 32 32 57 121 216 289 198 101 35 11 15 24 38 48 52 52 41 29 19 12 8 8 8 8 7 7 7 7 8 9 12 15 19 22 25 28 30 31 29 28 29 32 37 42 46 49 49 52 55 60 66 72 76 79 79 77 75 70 62 52 40 28 21 16 11 7 4 2 1 0 0 0 0 0 0 0 0 1 2 3 3 2 0 0 0 0 0 0 0 1 1 2 5 6 6 7 10 13 13 12 12 14 18 19 19 22 25 25 21 24 28 27 18 10 8 10 16 18 14 12 12 14 22 11 6 3 4 9 20 31 37 37 36 38 40 43 47 53 59 61 61 60 57 53 39 28 24 26
215 60 25 44 87 125 124 77 38 16 9 11 21 31 32 26 20 22 26 27 28 43 124 171 189 182 159 132 94 64 48 47 53 56 56 59 69 56 46 39 37 48 70 118 202 273 236 158 101 62 41 34 44 49 53 54 51 40 29 20 13 8 8 8 8 8 7 7 8 9 11 13 16 19 22 25 28 29 29 29 30 33 37 39 42 46 50 54 60 65 71 76 78 79 79 76 70 63 53 41 29 19 13 10 7 5 4 3 1 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 2 2 2 2 4 7 6 6 7 10 11 8 7 11 18 26 29 29 26 25 25 24 23 21 15 9 4 3 5 8 9 12 14 12 9 16 10 8 11 18 26 38 45 48 50 54 60 63 64 64 67 70 71 70 67 60 52 41 40 50 62
288 141 15 15 32 47 50 34 17 10 11 18 28 57 61 50 33 20 16 22 34 53 104 133 151 157 151 114 63 37 29 26 27 28 29 30 34 32 32 34 47 80 138 197 252 262 203 157 141 123 95 62 52 54 55 53 48 39 29 20 13 8 9 9 8 8 8 8 8 9 11 13 15 18 21 24 27 29 30 32 35 37 38 38 40 44 50 57 64 69 73 74 73 70 65 58 50 41 30 21 13 8 6 6 6 6 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 5 6 8 8 9 10 11 12 12 17 23 26 27 25 25 25 27 31 27 21 13 6 6 5 5 6 8 12 15 13 8 5 6 9 14 20 27 36 43 45 46 49 55 61 66 70 72 75 78 79 79 76 63 63 67 72 75 76
223 115 6 11 15 16 13 8 10 25 50 78 103 175 164 111 52 14 17 30 49 72 105 109 106 105 98 69 42 30 24 21 18 17 17 20 23 24 28 33 51 86 135 137 145 139 117 115 129 128 104 70 54 60 59 54 48 40 31 21 14 10 9 9 9 9 8 8 9 10 11 13 15 17 19 22 26 30 33 35 36 37 37 35 37 42 48 54 59 62 64 63 60 52 45 37 30 23 16 11 8 6 7 8 9 10 10 10 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 7 9 12 15 18 21 24 24 25 30 36 40 43 46 48 49 49 43 35 27 19 11 10 7 9 11 12 12 8 5 4 2 4 9 14 20 25 31 31 30 32 37 46 51 58 66 73 80 86 89 85 76 79 91 96 96 91 87
158 26 6 11 13 11 8 8 16 53 121 194 264 361 305 186 72 10 16 38 89 134 149 128 102 88 79 65 45 36 28 22 14 10 8 13 19 22 26 29 33 38 39 30 28 32 41 53 66 77 79 76 75 79 70 59 49 41 32 22 16 13 11 10 10 9 9 8 8 9 11 13 15 16 18 21 25 28 31 32 33 32 30 27 29 33 37 42 46 48 47 44 40 38 33 26 19 13 10 7 6 7 10 11 12 11 10 8 3 2 1 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 1 3 5 8 10 14 18 23 28 32 36 35 37 40 44 48 51 54 56 58 61 52 41 30 19 9 7 6 7 10 13 14 9 6 5 1 1 4 11 16 15 17 18 20 24 33 40 47 55 65 75 84 87 94 100 104 110 113 113 111 107 104
133 4 7 10 10 7 6 17 46 128 218 302 377 435 358 209 80 11 16 49 109 151 156 132 102 85 70 55 43 38 31 23 14 6 4 8 14 19 21 21 21 21 21 23 21 21 25 31 42 53 67 82 93 91 75 60 49 41 32 25 21 17 14 11 10 9 8 8 9 10 11 12 13 14 18 21 23 24 25 26 24 21 18 17 18 21 25 28 31 33 33 30 25 19 16 14 11 10 8 7 8 9 11 12 11 10 8 5 2 2 2 1 1 3 4 3 1 0 0 0 0 0 0 0 0 0 1 2 3 7 10 14 19 25 31 36 40 43 42 41 42 42 44 47 50 55 59 57 45 32 22 14 8 6 4 4 7 13 14 9 5 3 2 1 3 10 16 15 14 13 16 25 37 41 47 56 67 80 88 90 95 103 108 115 121 125 126 125 124
70 4 6 8 7 9 26 74 172 354 361 429 462 418 292 144 53 16 30 76 113 131 128 106 76 70 58 43 31 28 26 23 17 9 4 4 8 12 14 15 16 16 18 23 23 24 25 29 35 45 63 86 105 105 84 63 50 45 42 34 27 20 15 11 9 7 6 7 8 9 10 10 12 14 19 19 18 18 19 18 15 10 7 7 8 10 13 15 17 19 18 17 17 20 20 17 15 12 7 6 8 10 12 13 12 10 8 5 2 1 2 2 3 4 3 2 1 0 0 0 0 0 0 0 1 2 4 6 9 12 16 19 23 26 31 33 34 33 34 36 37 40 44 48 50 49 44 34 23 12 8 8 10 12 12 11 9 9 5 2 1 1 3 9 12 15 17 15 17 26 33 38 43 52 61 70 77 84 88 94 100 107 114 121 128 135 141 143 144
15 5 6 11 25 55 126 242 406 599 563 518 432 306 158 50 27 38 65 100 111 109 98 79 55 53 46 36 27 22 19 15 10 5 2 2 4 7 9 12 13 14 18 25 29 31 33 37 43 52 65 81 93 95 81 63 53 48 45 35 27 19 14 10 9 7 6 6 6 6 6 7 10 14 15 14 13 13 13 11 7 4 3 2 3 4 5 6 7 10 15 21 26 28 24 19 16 12 8 9 12 15 18 19 15 10 6 2 1 2 4 6 6 5 3 1 0 0 0 0 0 1 2 3 5 8 11 14 15 15 16 17 18 19 20 21 21 21 23 28 34 39 40 39 34 26 18 10 6 3 2 4 7 8 8 5 3 2 1 0 0 1 3 15 17 18 19 21 27 34 41 50 60 69 74 77 77 78 86 96 105 113 120 126 130 136 144 154 158
3 6 6 40 104 189 294 431 558 634 710 523 310 141 44 24 51 90 112 107 91 80 71 59 40 34 30 27 24 20 14 10 6 3 2 3 4 6 9 11 15 16 19 25 34 41 44 48 52 56 59 68 77 82 77 64 55 48 41 31 23 16 11 8 7 6 5 3 3 2 3 3 5 7 8 8 8 8 7 5 3 2 2 3 3 3 3 4 6 9 17 24 29 27 18 14 12 11 10 13 16 19 20 18 11 5 1 0 1 4 6 7 6 3 2 1 2 2 3 4 6 9 13 17 19 20 19 17 14 11 9 6 5 5 5 6 7 8 10 14 18 20 19 16 13 10 7 4 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 10 15 18 24 31 40 49 59 68 77 82 84 84 84 86 94 105 114 121 125 123 117 116 130 156 169
4 5 10 73 173 285 375 449 597 664 524 273 107 32 17 38 89 137 146 122 92 80 74 64 49 39 31 25 20 16 12 7 3 2 2 3 5 9 12 16 23 25 24 24 31 43 54 61 66 70 77 85 91 92 85 62 47 37 30 22 15 11 8 6 5 4 3 2 1 0 1 1 2 2 3 4 4 4 4 3 2 2 3 3 4 4 5 5 6 10 18 25 30 31 22 16 12 12 14 17 19 19 16 8 3 1 0 0 1 4 6 5 4 3 6 10 11 9 11 13 16 20 23 25 25 23 19 15 11 7 4 1 0 0 0 1 3 4 6 8 9 9 8 7 6 4 3 2 0 0 0 0 0 0 0 0 0 1 2 4 6 8 10 16 20 25 31 38 47 56 66 75 81 86 89 89 87 90 99 108 116 122 122 118 110 110 126 155 177
12 30 53 106 177 256 330 427 471 412 263 101 22 3 8 38 125 172 171 143 109 91 87 80 71 61 47 36 29 23 16 10 4 2 3 5 9 13 18 23 32 33 28 23 23 34 53 77 93 101 110 110 102 87 64 37 22 15 12 11 9 6 4 3 3 3 2 1 1 0 0 0 0 1 1 1 2 3 4 3 3 3 3 3 3 4 4 5 6 12 19 24 27 26 23 18 15 15 16 18 18 14 9 3 1 0 0 0 1 4 6 9 15 23 28 28 24 20 19 20 21 22 23 24 23 19 15 11 7 4 1 0 0 1 2 4 6 9 14 17 19 18 13 7 4 2 0 0 0 0 0 0 0 0 0 0 1 3 7 10 11 13 16 18 20 25 32 42 50 60 68 75 78 78 79 80 80 84 91 98 107 115 115 116 117 119 126 144 171
186 219 178 125 119 143 184 230 198 137 69 19 3 5 23 91 213 231 186 131 89 77 103 108 95 74 57 46 35 36 39 22 9 3 3 7 12 18 23 29 34 35 30 24 22 28 47 80 105 116 115 99 76 51 27 11 5 2 2 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 3 3 3 3 3 3 3 3 2 3 3 4 6 12 18 22 22 20 16 16 18 20 22 22 19 14 10 7 6 5 4 4 4 6 9 14 21 31 42 45 41 33 27 24 21 20 19 14 9 6 4 3 2 1 0 1 4 8 11 13 13 14 16 17 18 17 10 2 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 10 13 16 18 21 25 31 39 48 58 66 71 70 64 61 61 64 68 72 78 86 95 103 109 115 118 119 122 135 161
296 312 220 100 43 33 41 42 30 24 25 28 26 33 156 257 294 228 134 73 44 47 70 73 68 62 59 54 41 38 41 32 14 5 4 9 15 23 28 32 34 32 28 24 22 27 40 59 70 70 61 45 28 15 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 3 2 2 3 4 6 11 17 19 18 18 18 21 25 28 30 29 28 25 22 20 19 19 18 17 17 16 16 18 22 26 33 39 39 33 27 22 19 16 13 6 5 4 3 1 1 0 3 7 8 11 17 18 18 20 19 17 13 7 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 12 16 19 23 27 30 36 45 54 63 70 71 65 54 51 53 57 61 68 74 81 88 95 105 114 121 126 129 136 153
209 210 164 90 46 36 26 17 24 73 145 222 281 277 358 342 255 133 49 26 20 20 22 27 34 42 47 48 45 44 39 27 11 4 5 10 17 24 28 30 30 29 26 23 22 23 29 29 24 19 14 9 5 2 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 3 2 1 2 3 4 5 9 13 14 15 16 18 22 26 29 32 36 40 39 36 32 32 33 34 34 32 29 29 29 31 35 41 41 40 37 33 29 25 22 20 14 11 9 7 5 3 7 12 16 18 21 25 26 24 22 18 13 9 4 0 0 0 0 0 0 0 0 0 1 2 2 1 2 5 9 12 15 18 22 27 31 35 40 48 58 67 74 75 67 56 52 52 57 63 71 77 83 88 94 103 114 125 134 137 142 151
198 212 205 190 204 191 155 131 148 229 349 459 507 455 386 238 112 35 10 12 13 14 16 20 26 32 37 41 47 42 32 18 7 4 6 10 16 21 26 28 29 27 25 22 20 18 13 9 6 4 3 1 1 1 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 2 3 4 7 10 11 13 15 19 24 27 30 34 42 46 45 43 41 42 42 41 39 37 36 36 37 39 42 47 50 51 51 50 45 39 34 31 27 25 24 24 22 19 22 24 25 27 29 29 28 24 17 12 8 4 1 0 0 0 0 0 0 0 0 2 5 6 6 6 6 7 10 14 18 22 25 29 35 42 50 58 67 75 82 84 77 67 60 59 63 70 76 80 83 87 92 96 106 120 131 136 141 147
69 132 218 294 325 243 194 181 216 304 420 484 482 397 248 119 40 6 6 7 9 11 13 17 23 29 37 43 43 33 24 16 12 10 9 10 14 19 23 24 25 25 25 21 15 10 6 3 3 2 2 2 1 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 3 3 3 2 2 3 5 8 11 13 15 19 24 31 37 42 45 47 46 47 47 49 52 53 50 46 43 40 38 38 41 47 54 60 63 65 63 58 52 45 40 36 33 33 33 33 32 32 32 31 30 28 23 19 15 12 7 4 1 0 0 0 0 0 0 1 1 3 5 7 8 9 9 10 12 15 18 22 25 28 33 41 50 59 68 77 85 93 97 93 84 76 71 70 75 78 79 79 79 83 86 96 112 129 143 155 160
5 62 165 224 199 99 92 115 175 269 370 337 289 223 120 50 15 3 5 7 10 11 14 18 24 30 38 41 32 23 30 36 33 19 10 10 13 17 18 18 19 19 19 16 11 7 5 4 4 3 2 2 1 0 0 0 0 0 1 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 3 3 2 1 3 7 10 11 13 14 17 23 30 39 43 46 47 48 50 52 56 59 62 60 55 50 45 41 40 42 48 59 67 72 75 78 77 70 60 50 42 37 35 35 35 35 33 31 29 27 24 20 17 14 10 6 2 1 0 0 0 0 2 3 4 5 7 7 8 9 9 10 12 15 17 19 22 25 28 32 41 49 58 66 75 84 93 103 110 110 101 92 84 80 79 78 77 73 69 70 77 90 108 129 144 150 157
11 53 151 213 209 153 133 155 202 258 300 232 160 93 36 7 5 8 11 14 15 16 19 23 29 35 36 31 26 42 74 85 63 15 9 10 13 14 14 13 13 12 12 9 8 6 5 5 5 5 4 2 2 0 0 0 0 1 2 3 3 3 2 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 3 3 3 3 5 8 9 9 10 12 17 23 30 39 47 51 53 55 59 62 66 68 69 65 58 50 44 40 45 54 66 77 84 88 94 96 90 77 61 48 38 34 33 32 31 30 27 24 21 19 17 14 11 8 5 4 3 3 3 2 2 3 6 9 10 12 12 13 13 13 14 15 18 21 23 25 29 31 34 42 53 62 70 76 82 91 101 111 119 121 112 102 94 88 82 77 73 70 68 70 74 85 104 130 147 152 156
23 47 90 205 283 292 259 226 209 199 186 154 91 42 13 4 7 12 17 20 19 20 24 29 33 36 27 34 67 140 177 146 78 14 11 11 13 13 12 10 8 7 6 6 6 5 5 5 6 7 6 4 2 1 0 0 1 3 4 5 5 4 2 1 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 2 3 4 5 6 5 5 6 6 9 14 17 19 23 27 32 41 49 58 67 73 73 69 70 72 72 65 57 50 47 49 61 74 85 93 99 104 104 98 86 70 55 42 34 32 31 29 27 24 20 17 13 11 9 8 7 7 8 9 9 10 9 8 8 9 11 14 18 20 21 21 22 22 23 26 28 30 31 33 37 41 47 56 67 76 83 87 91 98 107 115 123 128 119 107 95 85 78 74 71 67 64 63 68 82 106 133 147 151 151
14 19 4 55 133 193 198 143 94 77 75 69 36 16 7 7 12 17 19 18 17 19 23 27 30 29 23 92 155 179 151 107 53 13 11 13 14 14 12 8 6 5 5 5 5 4 4 4 4 4 4 3 2 1 0 0 1 3 5 5 4 3 2 1 1 1 0 0 0 0 0 1 1 1 1 2 2 2 2 3 4 6 7 8 9 11 12 21 31 39 41 39 40 43 47 55 66 76 84 87 83 75 75 76 73 67 63 62 65 71 82 90 97 101 103 102 96 85 71 55 43 34 30 30 29 27 24 20 16 11 7 4 4 6 8 10 12 14 15 16 16 15 15 17 19 22 26 29 31 32 32 32 33 34 36 37 39 43 49 55 62 71 80 88 93 95 100 105 110 115 122 131 126 114 98 82 74 73 73 71 69 68 75 90 115 135 143 145 144
0 0 0 0 3 4 3 1 5 8 11 12 7 6 8 12 16 17 18 18 16 16 20 24 24 26 72 181 223 183 90 50 22 10 13 15 15 14 12 8 6 5 4 4 4 4 4 4 3 3 3 3 2 1 0 0 1 3 5 4 3 2 1 1 0 0 0 0 0 0 0 1 2 2 2 3 3 3 4 4 5 8 10 14 20 27 33 49 61 68 71 72 71 72 74 79 85 88 87 85 90 84 83 84 84 81 81 82 84 89 95 99 101 101 99 92 82 70 56 43 33 29 28 29 28 25 22 18 11 6 3 3 5 9 12 14 16 18 20 21 22 22 22 26 29 32 34 37 40 42 43 41 40 39 40 41 44 50 58 66 75 82 90 96 100 104 108 110 110 111 118 128 128 119 102 82 70 74 80 78 74 73 80 95 118 128 132 133 134
1 0 0 0 2 3 3 2 1 3 3 3 3 6 10 14 17 19 19 18 16 15 18 22 27 63 179 225 201 131 46 16 9 9 13 17 18 15 12 8 7 6 6 5 5 4 4 3 3 2 2 2 2 2 2 2 2 2 3 3 2 2 1 1 1 1 0 0 0 0 0 1 2 3 3 4 5 9 6 5 6 10 17 29 42 53 59 69 77 85 93 99 99 98 97 96 97 97 96 97 101 99 101 103 103 100 101 100 99 99 100 100 100 97 91 80 68 56 46 38 33 32 31 29 27 24 21 17 11 8 7 8 10 13 15 18 22 26 28 30 31 31 31 34 37 40 42 45 47 50 51 51 50 48 46 45 48 56 65 75 84 91 98 102 106 110 111 112 111 112 117 125 126 118 104 88 83 83 83 79 73 72 80 94 107 111 112 113 115
0 0 0 1 5 6 4 2 2 13 11 7 6 8 11 14 17 20 20 17 15 13 15 25 77 138 190 166 110 54 13 4 7 11 15 18 18 15 12 10 8 8 7 6 6 5 4 3 3 2 2 2 2 2 3 3 3 4 4 4 2 2 1 1 1 1 1 1 1 1 1 1 1 2 3 4 6 8 6 7 10 16 29 52 65 71 76 80 87 97 107 114 113 110 107 105 104 105 106 107 107 106 106 109 111 109 110 109 108 107 106 104 100 92 81 69 57 46 38 33 33 33 31 29 26 24 21 18 15 14 14 15 16 18 21 25 30 35 38 40 41 41 42 44 46 48 49 50 52 55 58 60 61 61 59 57 59 65 73 82 91 98 103 107 109 111 111 113 115 116 115 117 117 114 107 103 100 94 86 76 68 67 73 83 89 90 87 86 93
1 1 1 2 5 6 4 2 5 17 13 9 8 11 14 15 17 17 16 13 12 18 38 127 180 166 107 55 31 14 5 6 10 13 16 17 17 15 12 11 10 8 7 7 6 5 4 3 2 2 2 3 4 4 3 4 4 4 3 3 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 3 3 4 5 8 14 24 37 58 69 73 77 82 89 97 104 108 110 111 110 110 111 114 115 114 112 108 108 112 115 112 111 112 112 113 111 109 102 90 75 61 50 41 35 32 33 32 31 29 27 25 23 21 19 19 19 21 23 26 30 35 39 42 45 47 49 51 53 54 55 56 56 56 60 63 63 62 58 64 69 71 72 75 79 84 90 96 102 106 109 111 111 112 112 109 106 106 106 107 109 109 104 96 85 73 67 65 67 71 74 73 70 77 107
2 2 2 2 2 2 5 13 25 40 23 13 11 14 19 19 18 15 10 6 13 42 113 287 165 75 27 9 5 6 9 12 14 15 15 15 14 13 12 10 9 7 7 7 6 5 5 4 3 3 3 4 4 4 3 3 3 3 2 1 1 1 1 1 2 1 2 3 3 3 2 2 1 1 1 2 3 6 10 17 24 32 40 52 60 67 73 77 82 88 94 99 104 107 109 110 112 114 113 111 108 106 107 114 120 119 116 116 117 117 115 111 100 85 69 56 46 40 36 35 35 34 33 32 31 29 26 24 23 23 24 28 35 38 41 44 47 50 54 57 59 61 62 64 67 70 71 71 69 65 58 52 47 58 70 78 82 84 83 82 84 88 96 103 109 113 115 113 109 104 101 102 105 109 114 112 106 97 85 74 68 65 63 62 60 59 61 79 130
3 4 3 2 5 13 42 109 143 137 76 29 15 19 22 20 17 13 8 5 16 61 98 72 32 13 4 3 6 11 17 19 18 15 13 12 12 12 10 9 8 7 6 7 7 6 5 4 4 4 4 4 3 3 3 2 2 2 2 1 1 1 1 2 2 2 3 3 4 5 4 4 3 3 4 6 8 12 18 24 29 36 43 53 59 63 65 68 72 77 83 89 94 98 101 103 105 107 105 103 100 99 106 117 125 124 123 123 122 120 116 106 94 80 67 53 46 42 39 37 36 36 36 35 35 33 31 30 30 30 33 38 44 50 52 54 56 59 64 67 69 71 73 75 79 82 82 81 71 59 48 40 43 49 59 71 86 89 88 85 83 90 99 105 109 116 121 121 116 112 112 118 124 127 125 119 110 99 87 76 69 65 61 57 52 48 52 68 94
3 3 2 2 13 51 143 231 244 189 96 31 19 22 21 19 15 12 9 7 8 16 19 12 8 5 4 6 12 20 23 22 17 13 10 9 10 11 9 8 8 7 6 6 5 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 4 5 5 7 8 7 7 7 8 9 11 13 15 18 21 25 31 37 42 46 49 50 54 58 64 71 78 85 89 92 96 101 101 99 98 102 119 128 131 131 129 127 124 120 114 99 86 76 67 53 47 43 41 39 38 38 39 39 40 39 37 36 36 40 43 47 52 58 61 64 65 67 71 75 79 81 83 86 88 89 90 89 87 84 75 56 58 66 78 90 96 97 94 90 90 98 108 116 120 129 133 133 130 126 128 130 133 134 132 124 113 102 90 79 71 64 59 54 49 45 46 51 59
3 2 1 22 66 124 193 175 129 78 37 20 24 26 23 19 15 12 11 9 7 6 5 5 4 2 5 12 22 27 25 21 16 11 9 7 8 11 10 10 9 9 9 8 6 5 4 3 3 3 2 2 2 3 3 3 2 2 2 3 3 3 3 3 3 4 5 6 6 7 7 9 11 14 16 17 18 18 20 23 26 28 29 29 29 31 33 33 37 40 43 48 56 65 73 81 89 95 97 99 104 115 131 139 140 137 134 131 126 120 112 96 83 72 63 51 46 43 41 39 39 42 45 48 48 46 44 44 45 51 54 58 63 66 69 73 75 77 80 83 86 89 93 94 94 95 97 97 96 93 87 76 77 84 94 103 105 103 98 95 96 107 118 128 136 144 147 148 145 139 140 139 138 137 136 126 116 106 94 82 71 61 52 48 46 47 50 56 55
12 22 22 21 51 71 75 60 38 23 18 25 30 27 23 19 17 15 13 10 5 4 3 3 2 2 4 12 21 27 23 19 15 12 9 8 8 10 11 11 11 11 11 11 10 9 7 6 5 4 4 4 4 4 4 3 2 2 3 3 4 5 4 4 5 6 6 6 7 8 9 13 20 27 34 38 40 42 44 46 47 44 41 36 34 33 32 30 30 31 33 36 41 51 59 67 77 86 93 103 116 129 141 145 144 141 139 135 128 117 101 84 73 65 58 52 47 43 41 40 44 49 53 56 56 54 53 54 56 60 64 69 73 77 79 81 84 86 89 91 93 95 100 99 99 100 101 102 101 95 88 84 86 91 99 107 110 108 104 101 102 111 122 133 141 148 154 159 161 153 158 160 159 154 147 135 122 107 93 81 66 52 42 39 39 41 45 49 50
11 18 19 10 13 14 11 9 11 17 25 31 29 22 18 17 16 15 13 9 5 5 4 3 2 2 5 14 22 24 22 20 16 13 10 9 9 10 11 12 12 12 12 12 13 13 12 11 11 10 10 10 10 10 9 8 5 4 5 5 6 7 6 6 7 8 8 9 11 13 18 27 37 48 58 64 66 66 67 72 74 70 63 54 47 41 37 33 30 29 29 33 39 44 47 55 67 81 95 110 126 138 145 148 147 143 136 134 126 111 90 73 66 61 55 51 47 44 42 43 50 57 62 66 65 62 61 62 66 70 74 78 82 87 87 89 92 95 97 100 101 100 102 101 100 100 101 99 99 98 97 95 93 94 99 106 111 111 109 107 107 113 122 131 140 149 159 170 178 178 186 190 188 180 163 144 124 105 89 75 63 52 41 34 34 37 41 43 40
3 5 5 3 3 6 7 9 15 25 31 30 22 17 15 15 15 14 13 12 9 7 4 2 1 3 6 14 20 22 22 20 17 14 11 10 10 11 11 13 15 16 17 17 17 17 17 17 17 18 18 18 18 18 18 16 12 10 10 12 14 15 14 13 12 12 13 14 18 25 34 45 58 70 79 81 78 76 77 82 84 81 75 66 58 48 41 35 30 25 23 24 28 35 42 52 66 82 95 108 121 131 136 136 135 134 133 131 122 109 91 71 66 62 57 53 49 45 44 48 57 64 69 71 71 70 70 71 74 78 81 84 88 95 96 98 100 100 99 100 99 98 98 97 97 96 96 96 97 100 103 106 102 100 101 105 109 112 112 112 112 117 123 130 139 150 162 174 186 197 205 207 203 192 171 146 121 100 85 71 60 49 37 32 35 41 46 47 45
2 1 2 3 7 11 15 21 30 38 35 27 18 14 14 15 16 16 18 16 12 7 4 2 2 4 9 13 16 17 17 15 15 14 13 12 12 13 13 14 16 20 23 25 25 25 25 25 25 27 27 27 25 24 23 22 19 17 17 18 20 21 21 21 20 20 21 25 32 40 51 64 77 85 88 84 78 75 75 77 77 75 69 61 52 44 36 28 21 14 12 14 19 25 34 45 57 70 83 93 102 110 113 114 116 119 122 113 106 101 96 78 72 67 62 60 56 49 47 54 64 70 74 77 80 80 79 79 80 82 84 88 92 99 100 100 98 96 92 90 89 87 87 86 85 84 84 86 88 93 101 110 112 112 112 112 112 115 116 115 117 121 127 133 140 149 158 168 178 190 198 198 191 177 155 132 112 97 83 69 56 44 35 33 40 48 53 51 48
7 7 6 6 9 18 29 38 44 45 33 22 14 12 13 15 16 16 17 14 10 6 4 3 3 5 7 10 12 12 12 12 13 14 14 15 15 16 17 18 20 24 29 33 35 35 36 37 37 39 38 37 34 32 31 30 28 26 26 26 27 29 30 31 32 33 36 41 48 57 67 81 89 91 89 84 79 75 72 69 66 62 56 48 40 30 21 13 7 3 4 7 11 16 23 30 37 45 54 65 73 79 80 81 89 100 104 101 97 95 94 83 78 75 73 70 65 53 49 61 70 76 82 87 93 92 87 83 81 84 86 90 95 99 99 98 95 90 84 78 73 70 69 68 64 59 56 58 65 76 92 110 116 119 121 119 116 116 118 119 121 124 128 135 143 149 156 165 175 183 184 180 170 156 138 122 108 95 79 64 51 39 31 35 44 54 59 57 53
11 12 13 13 18 29 45 54 54 45 31 22 16 13 12 14 15 15 12 10 7 5 4 4 4 5 7 8 10 11 12 12 12 14 16 18 19 19 21 23 25 30 35 40 44 45 48 51 52 53 53 51 47 44 43 43 43 42 41 42 42 44 45 46 48 52 55 60 67 75 85 94 95 90 83 78 77 74 70 65 60 54 45 34 25 15 7 2 0 1 2 4 6 10 15 21 26 30 32 38 44 50 50 58 68 78 82 81 81 80 81 81 86 90 90 83 68 56 54 64 75 83 89 94 97 94 88 83 82 86 89 94 101 103 104 101 96 87 77 68 61 56 54 47 37 29 25 31 42 58 78 99 111 120 124 124 117 115 116 115 115 118 124 134 146 152 160 169 179 185 181 172 161 148 134 118 100 82 72 59 48 38 34 43 53 62 67 64 59
11 12 17 22 34 54 80 88 70 41 32 26 22 19 16 15 14 12 10 7 6 5 4 4 4 4 5 6 7 8 9 10 13 16 19 21 21 21 25 30 35 40 45 50 54 56 61 65 68 68 66 62 59 56 55 56 57 56 55 55 56 58 61 64 66 68 72 75 82 87 90 89 81 69 63 64 62 61 60 59 57 50 38 24 12 5 2 1 1 1 4 7 10 14 17 22 26 30 31 35 38 39 36 54 66 74 78 80 78 74 72 79 90 101 108 110 75 61 59 65 74 85 91 93 93 88 84 80 80 89 94 99 104 106 102 95 87 78 66 56 49 45 40 30 19 12 10 15 24 39 61 82 99 113 122 126 121 118 117 116 118 120 125 133 148 157 166 173 180 181 175 165 154 141 128 113 97 81 67 54 44 39 42 54 66 75 77 71 63
6 9 14 22 44 74 105 105 69 36 33 29 25 22 20 20 15 12 11 12 10 6 4 3 3 3 3 3 3 4 5 7 13 17 18 20 23 28 32 39 47 56 63 68 72 75 80 81 79 74 68 64 62 62 62 61 60 60 58 58 59 61 66 69 72 75 77 80 82 79 73 63 53 47 44 44 46 50 54 57 58 49 34 19 8 2 2 2 2 5 9 14 18 21 25 27 30 33 37 40 43 46 46 60 68 72 76 81 81 74 65 65 69 73 76 75 54 47 47 52 63 80 89 91 90 86 81 79 81 90 95 98 98 95 86 77 69 61 50 42 36 32 26 17 9 4 2 4 11 26 48 69 88 105 119 128 132 132 129 127 130 131 133 139 148 159 169 176 180 174 163 150 137 126 115 101 87 73 60 49 43 44 53 67 80 88 86 75 66
4 5 9 17 41 71 96 98 56 30 26 26 25 23 22 23 20 15 12 12 11 9 5 3 2 1 1 1 1 1 2 5 10 13 17 22 29 38 43 49 57 68 77 81 83 85 86 85 82 76 68 63 60 59 58 57 54 52 51 51 53 55 58 61 64 68 69 68 63 57 49 41 37 37 43 52 59 62 63 61 56 41 26 14 6 4 4 4 5 10 15 19 23 26 30 33 35 37 41 46 54 61 65 68 69 70 73 76 70 56 41 30 31 34 37 36 41 45 51 58 63 71 79 85 87 85 82 80 83 89 91 89 84 76 62 53 46 39 32 28 25 21 14 8 4 1 0 1 8 22 42 62 79 98 116 131 140 144 144 143 150 148 146 147 150 156 163 166 162 150 137 126 118 110 99 88 75 64 56 49 47 53 65 79 92 98 90 76 65
4 4 6 12 32 53 69 73 47 32 25 22 21 20 19 19 20 18 15 12 10 9 8 6 4 2 2 2 2 2 2 3 6 11 16 21 27 34 44 53 62 72 82 85 86 85 85 84 83 79 74 68 61 56 53 50 47 44 42 42 42 44 46 50 55 58 57 52 46 41 37 35 36 41 50 60 65 62 55 46 38 24 14 8 4 3 4 7 10 14 17 20 23 26 30 32 33 35 38 43 49 55 59 62 63 64 63 61 53 42 35 33 39 39 40 42 45 46 46 45 44 51 61 71 76 74 73 75 78 80 77 72 64 54 42 34 29 25 22 20 17 11 6 3 1 0 0 4 10 20 35 51 63 84 109 129 141 149 151 148 149 147 143 141 140 142 144 143 138 130 123 114 104 92 81 71 61 53 50 51 55 63 76 89 99 103 90 74 61
4 5 7 11 22 35 46 51 43 38 32 25 20 19 17 17 20 19 16 13 9 9 9 8 5 3 2 2 2 2 3 5 7 12 18 22 26 32 43 52 60 68 77 82 83 82 81 79 77 74 69 64 57 51 48 47 46 42 37 33 31 33 38 43 45 45 43 38 35 34 34 35 39 45 52 56 57 51 43 33 24 16 10 7 4 3 9 13 17 19 22 24 25 26 28 30 30 32 33 36 39 43 48 51 52 52 51 46 40 33 27 23 22 22 24 28 29 29 32 37 44 49 54 58 62 63 64 65 67 65 59 54 47 37 27 20 17 16 18 16 12 6 2 1 0 0 0 3 8 15 23 31 42 65 98 122 136 142 142 137 133 129 127 125 123 122 121 120 120 118 114 103 85 69 58 50 45 41 43 49 58 70 83 95 103 101 84 65 50
5 7 10 15 21 30 38 43 41 49 48 42 34 30 24 20 20 17 13 11 9 7 9 9 6 4 3 3 3 4 6 9 13 16 20 22 27 32 41 48 53 57 60 66 71 73 71 67 62 56 49 46 44 43 43 44 42 37 29 22 19 20 23 27 32 35 34 31 28 29 30 33 38 45 49 51 50 47 39 29 21 15 13 13 14 14 17 20 23 26 30 29 28 28 29 30 30 29 29 30 31 34 37 38 38 37 35 33 30 27 22 17 14 13 13 14 15 17 22 27 33 38 43 48 52 53 55 57 58 57 52 42 31 23 18 14 12 12 14 10 5 2 0 0 0 1 3 5 8 12 16 22 27 45 74 105 125 130 124 115 105 96 90 88 90 92 96 100 104 104 97 81 55 38 30 28 27 27 33 43 56 70 86 97 101 94 76 58 43
6 8 12 16 23 29 33 37 42 53 56 52 44 40 33 28 23 18 13 10 7 6 7 7 7 5 4 5 6 7 10 15 20 23 23 24 26 30 35 40 43 43 42 48 53 55 54 50 46 38 31 29 30 36 43 47 34 25 18 13 11 11 15 21 28 29 27 23 20 22 23 26 29 34 36 33 33 42 43 39 34 31 30 29 25 18 15 16 18 24 32 30 28 29 30 30 29 27 25 22 22 24 26 26 24 21 19 17 16 14 12 10 9 9 10 12 14 15 16 18 23 27 30 35 40 40 42 44 45 46 41 30 17 14 14 13 10 7 6 3 1 0 0 0 0 0 1 3 6 10 15 20 21 29 44 65 92 106 106 97 82 65 50 43 45 52 61 71 77 79 71 54 29 13 9 10 9 11 17 29 44 62 78 88 90 81 65 51 40
4 5 8 13 18 22 27 38 50 59 63 63 56 43 36 30 24 17 11 9 8 7 8 9 8 8 8 9 10 12 16 23 28 30 28 25 24 23 24 26 29 30 28 28 29 29 30 31 32 27 21 18 19 23 30 34 26 20 16 14 15 23 34 38 29 23 19 15 13 17 17 17 17 17 16 17 26 49 58 58 52 43 38 33 26 19 15 15 19 24 30 31 32 32 32 30 28 25 21 16 15 15 15 11 8 6 5 4 3 3 2 2 2 4 8 13 16 16 16 17 20 24 28 31 31 33 33 32 31 30 28 23 18 15 13 10 7 2 1 0 0 0 0 0 0 0 0 1 4 7 11 14 16 18 23 28 42 58 74 84 78 56 28 12 10 14 21 30 40 47 45 35 19 6 1 1 1 1 4 9 16 37 53 60 59 51 43 38 35
14 12 9 8 9 13 20 42 66 85 94 85 67 45 35 28 22 15 8 7 7 8 9 10 11 12 12 16 18 20 23 28 32 33 30 24 19 15 12 10 12 11 9 6 5 6 7 11 17 17 17 17 17 17 21 24 23 23 23 23 23 28 31 28 19 12 10 10 9 7 8 8 8 7 11 25 42 57 60 59 56 53 53 45 37 31 26 26 28 32 35 37 37 35 31 26 24 20 16 11 8 6 5 2 1 0 0 0 0 0 0 0 0 3 9 15 19 17 17 20 23 26 29 30 29 29 29 27 25 23 23 22 21 18 13 9 5 1 0 0 0 0 0 0 0 0 0 0 2 4 6 7 8 10 11 10 12 20 33 49 68 56 30 18 11 5 2 4 8 15 20 20 17 10 4 1 0 0 0 0 0 3 9 14 17 14 15 18 23
86 77 51 19 7 9 16 49 99 145 170 113 72 45 32 27 21 15 8 6 6 7 8 9 12 13 15 22 24 25 26 29 35 38 38 35 25 15 7 3 6 6 5 4 3 5 6 7 9 12 17 22 25 21 20 21 23 28 30 27 21 14 11 9 7 7 9 11 13 14 15 12 10 12 29 47 57 56 50 46 45 47 51 47 43 40 37 34 35 38 40 40 37 33 28 23 17 12 8 5 3 1 0 0 0 0 0 0 0 0 0 0 2 6 12 17 19 18 19 22 26 28 30 30 29 28 26 24 23 23 25 25 23 18 9 4 2 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 2 3 3 2 2 3 5 10 23 33 40 41 33 15 0 0 0 1 3 5 9 6 2 0 0 0 0 0 0 0 0 0 0 0 1 4 8
155 148 108 37 12 9 17 71 141 194 205 103 62 38 25 21 18 13 8 5 6 7 6 7 10 14 19 26 29 32 35 39 46 49 50 48 39 27 16 8 8 7 6 6 7 9 14 17 15 14 17 24 32 34 31 31 36 39 35 25 14 12 9 9 10 14 21 31 32 17 8 12 23 38 54 58 55 48 40 38 42 46 48 47 45 41 38 37 38 39 39 38 34 29 24 17 12 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 14 19 20 23 24 26 28 28 28 27 25 22 19 18 18 21 21 20 16 12 4 1 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 7 18 31 46 41 23 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
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