Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 15 14 13 12 11 11 11 11 11 11 12 12 12 12 11 11 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 11 10 10 10 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 11 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 11 12 13 15 16 17 17 17 16 15 14 13 12 12 13 14 14 14 13 12 11 9 7 6 6 6 6 7 7 7 8 9 11 12 12 12 11 11 12 13 14 14 13 12 11 10 10 10 10 11 11 12 12 12 12 12 11 11 10 10 10 11 11 12 13 14 14 14 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 nan
nan 14 13 13 12 12 11 11 11 11 11 12 12 12 11 11 11 11 12 13 13 12 12 11 11 11 11 11 11 11 12 12 11 11 11 10 10 9 9 8 8 8 8 8 9 9 9 10 10 10 10 11 12 12 12 12 12 11 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 11 12 12 11 11 11 10 9 9 10 10 12 14 15 17 17 17 16 16 15 14 13 12 12 13 14 14 13 12 11 9 7 6 6 6 6 6 7 7 8 8 10 12 13 14 13 12 12 12 14 14 14 13 12 11 10 10 10 10 11 11 12 13 13 13 13 12 12 11 11 11 11 12 13 14 14 15 14 14 13 12 11 11 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 10 10 10 10 nan
nan 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 11 11 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 9 9 10 10 10 11 11 11 12 12 13 12 12 11 10 10 9 8 8 8 8 9 9 10 10 10 10 9 9 10 10 11 12 12 12 12 12 11 11 10 10 10 11 13 15 16 16 16 16 15 14 13 13 12 13 13 14 14 14 13 12 10 8 7 6 6 6 6 7 8 8 9 10 11 13 14 15 14 13 13 13 14 14 14 13 12 11 10 10 11 11 11 12 12 13 13 13 13 13 12 12 12 11 12 12 13 14 15 15 15 14 13 12 11 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 10 nan
nan 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 11 11 12 13 13 13 12 11 10 10 10 9 9 10 10 10 11 11 10 10 9 9 9 8 8 8 8 9 10 10 11 11 11 12 12 12 13 13 12 12 11 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 12 13 13 12 12 11 11 11 12 13 14 15 16 16 15 14 14 13 12 12 12 12 13 14 14 13 13 12 10 9 7 7 7 6 7 7 7 9 9 10 11 12 13 14 14 14 14 14 14 15 14 14 12 11 10 10 11 11 12 12 12 12 13 13 13 13 13 12 12 12 12 13 13 14 14 14 15 15 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 nan
nan 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 11 12 13 14 13 12 11 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 10 11 11 12 12 12 13 13 13 12 12 11 10 9 9 8 8 8 8 8 9 9 10 10 10 10 10 11 11 12 12 12 12 12 11 11 10 11 12 13 14 16 17 17 16 15 13 12 11 11 11 12 12 13 13 13 13 12 11 9 7 7 7 7 7 7 8 8 9 10 11 12 12 13 14 14 14 14 14 15 15 14 13 11 10 10 10 11 11 12 12 12 13 13 13 13 12 12 12 12 12 13 13 14 14 14 14 14 14 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 12 12 12 12 11 11 11 11 11 10 10 9 9 9 9 10 11 12 12 13 12 12 11 10 10 9 9 10 10 10 10 10 10 10 9 9 9 8 7 7 7 8 9 10 11 12 12 13 13 13 13 13 12 11 10 9 9 8 8 8 8 8 9 9 9 10 10 11 11 11 12 12 12 12 11 11 10 10 9 10 10 12 13 15 17 18 18 17 15 13 11 11 11 11 12 13 13 13 12 12 11 9 8 7 7 7 8 8 8 8 9 10 10 11 12 13 14 14 14 14 14 14 14 14 14 12 11 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 14 14 14 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 nan
nan 13 13 12 12 12 12 11 11 11 10 10 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 10 10 10 9 9 9 9 8 8 7 7 8 9 10 11 12 13 13 13 13 13 13 12 10 9 9 8 8 8 8 8 8 8 9 9 10 10 11 11 12 12 12 12 11 10 10 9 9 9 9 10 11 13 15 17 18 18 17 16 13 12 12 12 13 13 14 13 12 11 10 9 8 8 7 7 8 8 9 9 9 9 10 10 11 12 13 14 14 15 15 14 15 15 14 13 12 10 10 9 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 14 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 nan
nan 12 13 13 13 12 12 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 10 10 10 11 11 11 11 10 10 10 10 9 9 8 8 7 7 8 9 10 11 11 12 13 13 13 13 12 11 9 9 8 8 8 8 9 8 8 8 9 9 10 11 11 12 12 12 12 11 11 10 9 8 8 8 8 9 10 13 16 17 18 19 18 16 13 12 12 12 13 14 13 11 10 9 8 7 7 7 7 8 8 8 9 9 9 9 10 10 11 12 13 13 13 14 14 15 15 15 14 13 11 10 10 9 9 10 10 10 11 11 11 11 11 11 11 11 12 12 11 12 12 12 13 13 13 14 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 nan
nan 13 13 13 13 12 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 10 10 11 11 12 12 11 11 11 11 10 10 9 9 8 8 8 8 9 10 10 11 12 12 13 13 12 11 10 9 8 8 8 8 8 9 9 8 8 8 9 10 10 11 11 12 12 12 11 10 10 8 8 7 7 7 7 9 12 15 16 18 19 18 16 13 12 11 11 11 11 10 9 7 7 7 7 7 8 8 8 8 8 8 9 9 10 10 11 11 11 12 12 12 13 14 15 15 15 13 12 11 10 9 9 9 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 nan
nan 12 13 13 12 11 11 11 11 11 10 10 10 10 10 10 9 9 8 8 9 9 10 10 10 10 10 11 11 12 12 12 12 12 11 11 10 10 9 9 9 8 8 9 9 10 10 11 12 12 12 11 11 10 9 8 8 8 8 9 9 9 8 8 8 9 10 10 10 11 11 11 11 11 10 10 9 8 8 7 7 7 8 11 13 15 17 18 18 16 13 11 10 10 10 9 8 8 7 7 7 8 9 9 9 9 9 8 8 9 9 10 10 10 10 10 11 12 14 15 15 15 15 14 13 12 11 10 9 9 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 13 13 13 14 14 14 14 14 13 13 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 nan
nan 12 12 12 11 11 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 11 13 14 16 18 17 16 14 11 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 9 9 9 9 9 8 9 11 14 16 17 17 16 15 14 12 11 10 10 9 10 10 10 10 11 10 10 11 11 11 11 12 12 12 12 13 13 13 13 14 14 14 14 14 14 14 14 13 13 12 12 11 11 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 nan
nan 12 11 11 11 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 12 12 13 13 13 12 11 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 12 11 11 11 11 12 13 14 16 17 16 14 12 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 6 6 7 9 12 16 17 18 17 16 15 13 12 11 10 10 10 10 10 10 11 11 11 10 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 14 14 14 14 14 14 13 13 13 12 11 11 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 nan
nan 12 11 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 12 12 13 13 12 13 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 8 9 10 10 11 11 11 11 11 10 10 10 9 9 10 10 11 11 12 13 12 12 11 11 11 13 15 15 15 14 12 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 6 5 5 6 7 11 15 17 18 17 16 15 14 13 12 11 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 12 12 12 13 13 13 12 12 13 13 13 14 14 14 14 14 13 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 11 nan
nan 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 12 12 12 13 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 9 10 11 12 12 11 11 10 10 10 9 9 9 10 11 12 13 14 14 13 12 11 11 12 13 14 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 6 6 6 6 8 10 14 17 17 18 17 16 15 14 13 12 11 10 10 10 11 11 11 11 11 11 10 10 10 9 10 10 10 11 11 12 12 12 11 11 11 12 12 13 13 13 14 14 14 13 13 13 12 12 11 11 11 11 12 12 12 11 11 10 10 10 9 9 10 9 10 10 10 10 10 10 10 10 10 nan
nan 12 13 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 12 12 12 13 13 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 12 12 11 11 10 10 10 10 10 10 11 13 15 17 17 16 15 13 12 12 13 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 6 6 7 8 10 13 16 17 17 17 17 16 15 14 13 12 11 10 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 12 12 12 12 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 13 13 13 12 11 11 11 11 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 13 13 13 13 13 13 13 13 12 12 11 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 12 12 12 12 12 11 11 10 10 10 10 12 15 17 18 19 18 16 14 13 13 13 13 13 13 12 11 10 10 9 9 9 10 10 10 10 10 10 9 8 7 6 6 6 7 9 12 14 16 17 17 17 16 16 15 14 13 12 12 11 11 11 11 11 11 11 10 10 9 9 9 8 9 9 9 10 10 10 10 10 10 10 11 11 11 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 nan
nan 13 13 12 12 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 9 9 10 10 11 11 11 11 12 12 13 13 13 13 13 13 12 13 13 13 12 12 12 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 12 13 13 13 13 12 12 11 10 10 9 10 12 14 16 18 18 17 15 14 13 13 14 14 14 13 12 10 9 9 9 9 10 10 11 11 11 10 9 7 6 5 6 6 7 10 13 15 16 16 16 16 16 15 15 15 14 13 12 12 12 12 12 11 11 11 10 10 9 9 8 8 8 9 9 9 10 10 10 10 10 11 11 11 11 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 13 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 nan
nan 13 12 12 12 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 10 10 11 11 11 12 13 13 13 13 13 12 12 12 13 13 13 12 12 12 12 11 10 9 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 10 11 11 12 13 13 14 14 13 13 12 11 10 9 9 10 12 14 16 17 17 16 15 14 15 16 16 15 13 12 10 9 9 10 10 10 11 11 12 12 11 9 7 6 6 6 6 8 10 13 14 15 15 15 15 15 15 15 15 14 13 13 12 12 12 12 12 11 11 10 10 9 9 8 8 8 9 9 9 9 10 10 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 13 13 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 11 nan
nan 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 9 9 8 8 8 9 10 11 12 13 14 14 14 13 13 13 13 13 13 13 13 13 12 12 11 11 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 12 12 13 13 13 13 13 13 12 12 11 10 11 12 14 16 16 16 16 17 17 18 17 16 14 12 10 9 10 10 10 10 11 11 11 12 12 11 10 8 7 7 6 6 8 10 12 13 14 15 14 14 14 15 15 15 14 13 13 13 13 12 12 12 12 11 10 10 9 9 8 8 8 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 13 13 13 13 13 13 13 12 12 12 11 11 10 10 10 10 10 10 10 10 10 11 10 nan
nan 11 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 10 9 9 8 7 7 7 7 9 10 12 14 14 14 14 13 13 13 13 13 13 13 14 13 13 12 11 10 9 9 9 9 9 9 8 8 8 8 9 10 10 9 9 9 9 10 11 11 12 12 12 12 12 12 12 13 13 12 12 12 12 13 14 14 14 14 14 15 16 16 15 14 12 9 9 9 10 10 11 11 11 12 12 12 12 11 11 10 9 8 7 6 7 9 10 12 13 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 12 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 11 12 12 12 13 13 13 13 13 13 12 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 nan
nan 11 11 11 12 12 12 11 11 11 10 10 10 11 11 11 11 11 10 10 9 8 7 7 7 7 7 9 11 13 14 15 14 13 13 13 13 13 14 14 15 15 14 13 12 10 9 9 9 9 10 10 10 10 9 9 9 10 10 10 9 9 9 9 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 12 12 11 11 11 12 12 12 11 10 9 9 9 10 11 11 12 12 12 12 12 13 13 13 12 10 9 7 7 7 9 10 12 13 14 14 14 14 14 14 14 13 13 13 12 13 13 13 13 13 12 11 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 nan
nan 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 10 10 9 9 8 8 7 7 7 8 8 10 12 14 15 15 15 13 12 12 12 13 14 15 16 16 15 14 11 9 8 7 8 9 10 11 11 10 10 10 10 11 11 11 10 10 9 9 10 10 11 11 11 10 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 11 10 9 9 10 11 12 12 12 12 12 11 12 12 12 11 9 7 6 7 8 9 11 13 14 14 14 14 14 14 13 13 13 12 12 12 12 13 13 14 14 13 12 11 11 10 10 9 9 9 9 10 10 10 10 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 10 10 11 10 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 8 8 7 8 8 9 9 10 12 13 14 15 15 15 14 12 12 12 12 13 15 16 16 15 14 11 8 7 7 7 8 10 10 10 10 10 10 10 11 12 11 11 10 10 10 10 10 11 11 11 11 11 12 13 13 13 13 13 13 12 12 12 12 12 13 13 14 15 16 16 16 14 11 9 9 9 9 11 11 12 12 12 11 10 9 9 8 8 7 6 6 6 7 8 11 13 14 14 14 14 14 13 13 12 12 12 12 12 12 13 13 14 14 13 13 12 12 11 10 10 10 10 10 10 10 10 11 11 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 10 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 8 8 7 8 9 10 11 11 12 13 14 15 15 16 15 15 13 12 12 11 13 14 15 15 15 13 10 8 7 8 8 9 10 10 10 10 10 10 10 11 12 12 12 11 10 10 10 11 11 11 11 12 12 13 14 15 16 15 14 13 12 12 12 12 12 13 14 16 17 17 16 14 11 8 7 8 8 9 10 11 11 12 12 11 10 8 7 7 6 6 6 6 6 7 8 10 13 14 14 14 14 13 12 12 12 12 12 11 12 12 13 13 14 14 14 14 13 12 12 11 11 10 10 10 10 10 10 11 11 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 10 10 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 8 8 9 9 11 11 12 12 12 13 14 15 15 15 15 14 13 12 11 11 12 13 14 14 14 12 10 9 9 9 10 11 11 11 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 12 13 15 16 17 16 15 14 13 12 12 12 12 13 13 14 14 13 12 9 7 6 7 8 9 10 11 11 11 12 13 13 12 10 9 8 7 7 7 7 7 7 8 10 12 13 14 14 13 13 12 12 11 11 11 11 11 11 12 12 13 14 14 14 13 13 12 12 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 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 11 11 nan
nan 11 11 11 11 11 10 11 11 11 10 10 9 9 9 9 9 9 9 9 10 11 12 13 12 12 12 13 14 15 15 14 13 12 12 11 11 11 12 13 14 14 13 11 10 9 9 10 11 11 11 12 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 12 14 15 16 16 16 15 14 12 12 12 12 12 12 12 12 11 9 7 6 6 7 9 10 10 11 11 11 13 14 14 14 12 10 9 8 7 7 7 7 8 9 10 11 12 13 14 13 13 12 11 11 10 10 10 10 11 11 12 12 12 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 11 11 11 10 10 10 11 11 11 nan
nan 11 10 10 9 9 9 10 10 10 10 9 8 8 8 9 9 10 10 10 11 12 13 12 12 11 12 13 14 14 14 13 11 11 11 11 12 12 12 13 14 14 13 12 11 10 9 9 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 12 12 12 12 12 12 12 13 14 15 16 15 14 12 12 12 12 12 12 12 12 11 10 9 8 8 8 9 10 10 10 11 11 12 14 14 14 13 11 10 9 8 8 8 7 8 9 9 11 12 13 14 13 13 12 11 11 10 10 10 10 10 10 11 11 11 11 12 12 12 13 13 13 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 13 13 12 12 12 12 12 11 11 10 10 10 10 10 11 11 nan
nan 9 8 8 7 7 8 9 11 11 11 10 8 8 8 9 10 11 11 11 11 11 12 12 12 12 12 13 13 14 13 12 11 11 11 12 12 12 12 13 13 13 13 12 12 11 10 9 9 9 9 9 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 14 14 14 13 12 11 11 12 12 12 12 12 11 11 10 10 9 9 10 10 10 10 10 11 11 12 12 12 11 11 11 11 10 9 8 8 8 8 9 10 11 12 13 13 13 12 11 11 10 10 9 9 10 10 10 10 11 11 11 12 12 13 13 13 12 12 11 11 11 11 11 11 11 12 12 12 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 12 11 11 11 10 10 10 10 11 11 11 nan
nan 8 7 8 8 9 9 10 11 12 13 12 10 9 9 10 10 11 11 11 11 11 11 11 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 11 10 9 9 9 8 8 8 9 9 10 10 11 11 11 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 13 13 13 13 12 12 12 12 13 13 13 12 11 10 9 9 9 10 10 10 10 10 10 10 11 10 10 10 10 10 11 11 11 10 9 9 9 9 9 10 11 12 13 14 14 13 12 11 10 10 9 9 9 10 10 10 10 11 11 12 13 13 13 13 12 12 11 11 11 11 11 11 11 12 12 12 13 13 13 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 10 11 11 11 11 11 12 nan
nan 9 9 10 11 12 11 11 12 13 14 14 13 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 10 9 9 9 8 8 7 8 8 9 10 10 11 11 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 12 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 14 14 13 12 12 11 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 13 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
6 6 7 9 15 23 35 60 96 124 145 157 161 163 176 175 156 126 94 61 36 24 21 23 26 31 33 34 35 36 36 39 42 45 54 57 48 33 21 20 26 34 36 34 32 31 31 33 34 33 25 20 19 18 19 18 17 15 14 13 13 12 11 11 10 9 8 7 7 6 5 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 5 5 6 6 6 7 8 9 10 10 11 13 14 14 12 10 9 8 7 7 8 9 8 5 5 6 7 9 11 16 21 28 35 40 45 50 52 57 62 66 69 71 73 76 79 82 87 91 95 99 101 87 98 83 55 34 26 24 22 20 19 28 28 23 16 11 6 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 3 4 4 4 4 6 8 9 9 8
10 6 6 8 10 12 16 30 57 84 104 114 116 116 129 143 157 160 148 114 68 34 19 17 20 28 31 29 26 24 26 34 37 35 33 30 26 25 26 31 32 34 35 34 34 34 35 37 36 31 24 20 19 18 18 17 15 14 14 13 13 13 12 11 11 10 9 8 7 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 7 9 10 11 13 15 19 23 25 23 20 18 16 14 13 13 13 13 12 12 13 17 20 25 33 42 52 62 72 80 88 90 91 92 93 94 95 96 98 100 102 103 105 112 120 125 120 111 99 82 56 16 20 20 17 18 20 17 12 7 5 8 10 12 14 12 7 6 3 2 2 1 1 0 0 1 2 3 3 4 4 4 3 3 4 4 6 7 7 8 8 10 13 15 15 14 13
33 13 5 5 6 7 7 12 20 29 36 39 40 42 46 56 86 121 148 155 127 72 40 26 19 21 25 27 26 24 23 30 33 34 34 33 30 29 32 37 42 38 33 29 28 28 29 32 30 24 19 17 16 16 16 15 13 13 14 14 14 14 13 12 12 11 9 8 8 7 6 6 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 6 7 8 9 10 12 15 16 20 25 31 35 36 36 34 32 31 30 31 32 33 32 34 39 45 51 57 65 76 86 95 103 109 112 114 114 113 111 109 109 109 109 109 110 113 115 115 111 103 97 94 84 62 23 22 25 27 31 34 32 31 30 30 26 21 19 18 16 11 3 2 2 2 2 3 3 3 3 3 4 5 6 8 8 7 7 8 9 10 11 12 12 13 15 17 17 16 16 17
62 32 14 4 1 2 6 8 8 8 7 9 12 14 16 18 34 66 112 163 200 149 89 47 27 23 27 29 29 27 24 25 28 32 34 35 34 34 36 37 33 28 25 22 20 19 21 23 21 17 14 14 14 15 15 15 15 16 16 16 16 15 14 13 12 11 10 9 8 8 7 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 5 6 7 8 9 9 9 10 11 14 17 20 24 28 33 37 40 42 45 48 50 52 54 54 54 55 58 62 67 70 75 82 92 101 110 118 123 124 121 116 111 112 112 113 113 113 113 113 112 109 103 94 89 86 78 63 49 51 52 53 55 57 56 56 54 45 32 23 18 16 14 10 4 1 0 0 1 1 4 5 3 3 4 5 7 8 10 11 11 12 12 12 11 12 12 13 14 15 16 17 20 21
57 46 34 19 8 6 8 5 4 3 3 4 7 9 10 12 19 36 73 134 206 237 163 90 44 27 29 30 28 25 24 22 24 27 29 31 32 32 29 25 21 19 17 16 15 14 13 15 14 13 12 12 14 16 17 18 18 19 19 19 18 16 15 14 13 13 12 10 9 8 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 6 8 9 9 9 9 8 8 10 12 14 18 22 25 27 28 32 36 40 45 49 52 54 56 59 63 64 65 67 69 74 79 85 93 102 111 119 124 126 125 123 119 116 113 112 114 118 120 118 113 105 98 91 86 83 75 62 66 65 62 61 62 62 59 56 50 42 34 27 20 16 13 9 4 1 0 0 0 0 0 0 0 1 2 3 4 5 7 10 12 13 13 11 10 11 11 10 10 11 14 18 22 25
47 39 40 40 32 21 10 4 2 1 2 3 5 7 8 8 11 19 42 91 171 274 219 132 61 26 23 24 24 25 25 23 22 22 21 22 24 22 21 19 17 17 16 15 13 12 12 12 12 12 12 13 16 19 20 21 21 21 20 20 19 18 17 16 15 14 13 11 10 9 8 8 8 8 8 7 7 7 7 7 6 6 6 6 7 8 8 11 11 10 10 9 10 10 11 13 15 17 21 25 28 31 35 38 42 45 48 50 52 54 57 61 64 66 69 73 77 82 87 94 102 108 113 116 117 115 111 102 90 90 97 111 127 134 130 121 110 99 90 82 79 74 62 61 58 55 53 55 54 52 49 44 40 35 29 23 18 14 9 4 1 0 0 0 0 0 0 0 0 0 0 1 1 2 5 8 10 11 11 10 10 10 9 10 12 15 19 25 31
43 10 11 21 19 13 12 9 5 5 8 10 8 10 9 7 6 9 22 61 145 254 242 155 75 27 17 18 19 22 23 20 18 17 16 16 17 17 19 21 21 20 18 15 14 13 12 13 14 14 15 17 20 22 23 23 22 21 21 20 19 19 18 17 16 15 14 12 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 11 12 13 13 12 12 13 14 14 15 17 19 22 27 30 31 33 36 40 44 47 51 56 54 53 55 58 63 69 75 79 82 84 86 89 92 94 95 96 93 88 79 78 86 100 119 140 145 141 130 117 104 93 81 75 70 63 59 55 50 47 47 47 46 45 43 40 36 32 26 20 15 9 4 1 0 0 0 0 0 0 0 0 0 1 1 2 3 4 6 8 9 10 10 9 9 8 8 11 15 21 29 38
68 10 3 4 3 7 15 20 20 26 37 43 35 24 14 7 4 5 12 49 145 243 237 164 93 41 15 10 15 20 23 23 20 19 18 19 20 22 26 27 26 22 17 14 13 13 13 14 15 16 18 20 22 24 24 24 23 22 22 21 20 20 19 18 17 15 14 13 12 11 10 10 10 10 9 9 9 9 9 10 11 12 13 13 14 15 16 16 16 16 14 12 13 15 18 21 23 25 28 31 33 34 36 37 41 48 56 63 67 61 56 55 58 63 70 75 77 75 72 68 67 66 66 67 71 72 73 75 83 96 113 131 145 146 139 128 115 100 88 78 70 65 61 58 57 55 52 48 48 46 45 43 39 35 31 26 20 13 6 2 0 0 0 0 0 0 0 0 1 2 2 3 4 5 6 6 7 7 8 8 8 8 7 8 11 14 20 26 34
102 27 7 1 0 4 11 21 35 60 91 102 81 49 26 12 6 5 13 56 153 224 209 162 125 86 51 28 23 21 22 25 26 23 23 25 30 33 35 31 25 18 14 14 15 16 15 14 15 17 19 21 23 24 24 24 24 23 22 22 21 20 19 17 16 15 14 13 12 11 11 10 10 10 10 10 10 10 11 14 16 17 17 17 17 18 19 20 20 20 18 18 20 28 31 31 32 35 37 44 51 53 49 48 55 67 77 81 78 72 67 65 65 68 73 74 70 64 57 53 52 51 49 50 55 61 67 75 86 102 118 128 133 132 125 114 101 89 81 75 69 66 63 63 63 62 58 54 51 47 44 41 38 34 29 24 17 11 5 1 0 0 0 0 0 0 0 0 0 1 2 3 3 4 5 7 7 7 7 8 10 12 12 13 13 14 17 22 29
152 63 14 3 1 5 14 31 59 113 169 146 87 49 26 13 12 21 41 99 163 197 190 170 163 139 103 67 45 31 26 25 25 23 25 27 31 33 32 26 20 17 17 20 21 20 18 17 17 19 20 21 22 23 23 23 23 22 21 20 19 18 17 15 14 13 12 12 11 11 10 10 10 11 11 11 11 13 15 18 19 20 20 20 21 22 24 26 28 29 29 31 34 36 38 39 42 47 57 67 79 86 86 84 85 91 95 93 88 82 76 72 71 74 77 76 72 64 57 51 48 44 39 42 49 56 64 71 79 91 101 108 112 112 107 100 92 85 80 77 73 70 68 68 66 63 59 53 48 43 39 37 34 30 25 19 13 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 6 6 7 11 14 16 15 13 12 12 14 20 25
133 57 14 7 10 21 44 82 147 254 163 122 84 45 17 18 38 67 103 152 168 163 146 131 129 122 97 66 43 30 22 18 17 18 19 20 21 22 22 22 21 22 25 27 26 25 23 22 21 21 22 22 21 21 21 20 19 18 17 17 16 15 14 13 12 12 11 10 10 9 9 9 10 11 12 13 14 17 19 21 22 23 23 25 28 31 35 39 42 41 42 42 44 46 49 52 56 60 65 73 87 102 109 107 102 101 100 95 92 89 85 83 83 86 87 86 83 75 65 56 49 44 40 45 52 58 63 66 70 76 84 91 99 102 102 99 96 92 87 82 75 70 68 71 67 60 54 49 43 36 32 30 29 27 21 15 10 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 5 7 12 15 16 15 14 14 14 17 21 23
43 17 11 22 44 77 128 180 198 169 61 39 35 28 19 36 95 130 141 147 127 107 93 81 66 62 53 40 28 18 13 9 6 5 9 13 15 16 18 22 24 28 31 31 28 27 26 24 22 21 21 20 19 18 18 17 16 16 16 16 16 15 14 13 14 14 13 13 12 13 13 13 13 15 17 18 20 23 24 24 25 26 30 36 42 47 51 53 53 50 50 51 54 58 63 68 71 71 67 75 89 103 111 104 98 93 89 88 88 88 87 88 90 95 98 97 94 87 76 64 57 54 55 60 63 63 61 59 59 66 78 92 105 107 108 107 105 102 96 88 80 74 73 74 68 60 52 44 36 28 22 20 20 19 16 11 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 8 11 13 14 14 16 16 17 19 23 24
8 15 30 67 127 203 278 304 200 44 52 40 25 20 30 61 151 175 155 119 81 60 52 43 28 24 27 27 23 17 13 9 6 6 7 10 14 18 20 23 26 30 30 27 23 22 21 20 18 18 18 17 17 17 18 18 18 19 19 19 19 19 19 19 20 21 21 20 20 19 18 18 20 21 22 24 26 29 32 32 33 36 42 48 55 61 64 63 60 58 59 61 66 71 77 81 83 82 78 83 91 99 101 97 91 86 83 80 78 79 79 82 88 99 106 107 104 97 87 76 71 71 73 76 75 67 59 54 54 64 81 99 112 111 112 113 113 110 103 93 83 76 72 69 62 53 43 32 25 19 16 14 14 14 13 10 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 8 12 14 15 16 21 20 18 21 29 30
50 66 80 136 228 337 423 362 216 81 41 28 22 32 67 133 228 214 163 103 53 30 22 18 15 11 17 21 21 19 15 14 12 9 9 11 16 20 22 22 25 26 25 22 18 16 16 15 15 16 16 17 18 19 21 23 24 25 26 27 27 28 28 28 27 27 26 24 22 20 19 18 19 22 25 28 31 34 38 40 42 46 50 55 60 65 68 70 69 68 69 71 75 81 88 94 98 99 97 98 100 102 102 98 92 85 78 69 61 61 67 76 89 103 110 111 108 101 94 84 78 78 82 86 79 69 61 58 59 66 75 82 87 95 100 103 104 101 95 87 78 69 62 55 48 39 30 22 17 13 11 11 11 11 10 8 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 4 8 11 13 14 16 18 20 24 28 32 31 30 35 43 46
125 130 98 125 208 310 373 263 170 99 54 27 31 77 170 276 334 257 170 97 49 31 30 34 36 30 23 20 20 21 20 20 18 15 12 12 15 18 20 19 20 20 19 17 16 16 16 16 17 17 17 17 18 19 21 27 32 33 33 31 32 31 30 29 29 27 25 23 21 18 17 18 19 22 25 28 32 35 39 43 45 49 54 59 63 67 72 76 78 79 82 86 89 92 98 104 108 110 110 107 108 108 106 99 94 84 73 63 59 62 69 77 85 93 100 108 109 104 99 87 81 81 87 92 85 77 69 65 63 64 68 72 73 76 81 84 83 78 68 62 58 55 50 44 37 30 23 17 14 11 9 8 10 10 9 8 6 5 3 1 0 0 0 0 0 0 0 0 2 4 6 9 13 16 20 24 26 27 29 32 36 40 44 48 51 53 55 63 69
185 122 53 46 90 152 189 133 93 58 36 36 82 215 345 418 394 308 223 158 118 104 101 84 68 56 41 29 21 20 23 23 22 20 17 14 13 15 17 17 16 16 15 14 15 15 16 17 17 16 16 14 14 15 16 22 27 29 29 29 29 28 27 26 26 25 22 21 19 19 20 21 23 23 24 26 29 32 35 38 42 45 50 54 59 66 72 78 83 89 95 98 98 98 101 106 109 109 104 89 89 91 89 79 69 62 59 64 80 89 94 95 93 89 90 102 112 113 104 97 98 100 102 103 98 89 78 70 67 70 74 78 81 87 87 82 73 63 51 44 40 40 38 33 29 26 22 19 16 14 11 9 15 13 11 9 6 2 0 0 0 0 0 0 0 0 0 1 4 9 15 21 26 31 35 38 40 43 47 52 57 61 66 71 74 76 79 93 106
194 95 27 9 19 32 39 28 20 23 59 134 253 413 495 475 385 303 244 205 185 176 166 131 94 67 53 42 25 20 22 24 24 23 21 18 13 14 15 15 15 13 13 14 14 14 14 14 14 13 12 11 11 10 10 10 14 19 23 26 26 26 27 27 27 26 23 20 19 19 21 23 24 25 26 26 27 29 33 36 39 43 48 53 59 63 68 74 79 86 91 92 91 91 93 95 95 92 83 63 64 70 75 75 70 64 60 65 84 97 98 94 88 84 82 93 106 114 114 112 111 111 110 108 100 89 78 70 67 71 71 73 79 88 91 89 81 70 58 45 36 34 38 32 27 25 24 23 20 18 15 15 17 15 11 7 3 0 0 0 0 0 0 0 0 1 3 6 12 19 25 31 36 42 46 49 53 57 64 70 76 82 90 96 104 114 124 133 144
127 69 24 3 4 4 3 4 5 54 153 287 429 496 385 302 237 179 143 138 152 167 164 138 92 54 35 37 29 23 23 24 23 24 24 23 17 13 13 13 13 13 13 14 14 15 14 14 13 12 11 11 9 8 6 5 7 11 18 25 30 30 30 31 31 30 26 23 21 22 24 26 27 29 29 30 32 35 39 43 46 48 49 50 50 48 49 51 54 56 56 54 51 48 46 43 43 51 57 32 30 42 58 68 64 48 45 54 68 75 73 67 64 66 89 91 95 104 109 109 110 109 106 102 96 87 75 66 64 64 66 71 79 88 90 88 85 79 67 54 44 39 40 39 36 32 29 24 21 19 19 19 19 17 12 7 2 0 0 1 2 3 0 1 4 9 12 18 25 31 37 43 49 52 55 58 63 70 78 86 95 103 108 115 124 135 144 152 162
37 18 8 7 16 26 24 32 62 148 268 374 426 381 187 91 55 45 41 42 55 80 102 106 71 34 13 19 34 28 25 24 21 21 23 23 19 12 10 10 11 12 12 13 14 15 14 15 14 14 13 12 10 8 6 6 9 13 19 25 29 33 35 35 35 33 31 29 28 29 31 34 36 37 39 40 43 47 49 51 49 46 41 35 29 21 14 10 9 10 10 10 9 8 6 4 4 12 18 4 8 21 39 59 77 53 49 55 60 60 56 48 44 51 61 63 62 62 63 78 89 89 80 72 72 73 70 64 65 66 69 73 75 71 70 71 71 69 60 48 43 45 51 47 43 39 35 29 26 24 24 25 22 18 13 7 1 0 0 2 5 7 4 7 13 19 24 30 38 45 50 55 59 61 62 64 69 76 85 93 102 107 107 112 120 126 131 140 154
2 2 16 54 111 122 105 113 160 245 336 382 376 308 144 68 41 39 35 12 4 19 49 75 56 24 5 7 17 21 22 22 21 20 19 18 16 11 9 9 10 12 13 13 14 14 15 15 15 15 15 13 11 9 8 9 12 16 23 28 31 36 39 40 38 36 34 34 35 37 40 43 44 44 45 46 50 52 51 47 40 32 25 17 9 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 8 20 34 50 66 44 37 38 40 45 54 48 42 46 43 43 46 47 44 53 66 70 66 63 66 66 65 65 68 73 78 81 77 56 70 73 67 62 55 42 38 43 50 49 45 41 39 40 36 35 34 31 24 17 12 8 2 0 1 3 8 14 15 19 24 30 36 43 51 59 66 71 73 72 70 68 71 78 83 87 88 90 93 99 107 115 126 139 153
2 3 31 134 260 255 228 208 215 259 327 314 263 187 105 76 68 55 34 4 3 15 34 51 42 15 3 2 6 13 17 20 20 18 16 15 12 10 8 8 9 11 12 12 13 14 14 14 14 15 15 14 12 11 11 12 14 19 23 29 34 38 40 41 41 41 40 41 42 44 45 44 42 41 40 40 43 44 41 35 26 19 13 7 3 1 0 0 0 0 0 1 1 1 0 0 0 0 0 2 10 21 32 38 34 20 15 14 19 31 63 58 44 42 36 34 37 38 34 37 54 66 67 62 61 66 71 76 79 81 80 75 65 58 67 71 69 65 58 48 45 48 52 50 45 41 41 46 45 42 37 31 24 18 13 9 5 3 5 9 15 20 25 29 34 39 45 57 67 76 84 88 85 77 70 69 70 74 77 77 73 74 81 92 106 120 135 146 160
1 2 23 119 219 250 269 241 213 213 257 221 164 110 72 55 43 26 13 3 3 10 21 30 27 8 5 12 20 17 13 13 15 16 15 10 7 6 6 6 7 9 11 11 12 12 12 12 12 12 12 13 13 14 16 16 16 20 21 25 31 35 36 39 43 48 49 49 47 44 40 34 31 29 28 26 25 24 23 22 20 12 6 3 2 1 0 0 0 0 1 2 2 4 5 0 0 0 2 7 19 34 43 42 27 13 5 4 9 22 53 44 28 25 26 27 30 33 34 42 61 79 88 85 78 74 76 81 84 81 76 71 68 69 75 79 79 73 65 60 58 57 55 51 46 44 46 49 48 43 38 31 26 20 17 14 13 12 13 16 21 26 31 36 42 48 56 70 82 92 98 97 87 74 64 63 65 68 71 72 71 73 82 95 111 131 149 161 173
1 3 12 35 70 116 174 171 146 144 174 168 147 115 85 72 71 41 15 4 5 4 7 10 11 5 17 39 57 52 34 19 13 14 14 8 4 4 5 8 9 10 10 9 10 12 13 12 10 10 11 14 17 19 19 18 17 19 18 22 26 29 31 33 37 40 40 40 38 32 26 22 20 20 21 21 21 20 18 19 22 11 4 2 1 1 0 0 0 0 0 0 1 5 8 4 6 9 13 20 31 51 58 51 33 15 4 1 4 11 21 17 11 8 12 16 19 24 34 52 71 87 95 92 83 77 74 74 73 71 70 71 74 77 83 86 85 76 73 70 67 64 58 53 50 50 52 52 49 44 38 32 27 23 22 22 22 23 23 24 28 32 39 47 54 62 71 83 94 101 102 95 81 65 53 48 53 59 65 68 69 71 80 95 116 137 150 157 163
1 4 12 25 33 43 56 57 49 60 81 86 94 86 76 69 68 40 16 3 0 0 1 1 2 5 65 64 46 29 17 11 8 10 13 6 3 4 7 11 13 10 8 7 8 8 9 9 8 10 17 22 25 26 26 21 17 16 15 16 17 19 21 26 30 29 23 18 15 12 11 11 14 17 19 21 22 24 18 15 15 10 5 2 1 0 0 0 0 0 0 1 5 14 24 24 23 25 30 36 42 50 54 48 32 14 4 1 4 13 27 26 20 15 22 25 20 16 20 36 57 75 84 78 75 71 67 63 61 65 71 77 82 86 90 90 85 75 77 75 70 63 59 56 54 53 53 52 49 45 39 35 31 31 31 32 33 32 32 34 39 46 54 61 68 75 83 92 99 102 99 88 73 56 42 36 42 52 61 68 73 76 82 93 114 129 134 135 131
1 1 1 9 8 8 9 10 8 11 19 29 42 51 58 62 63 33 14 3 0 0 0 2 9 47 231 191 110 45 20 9 5 6 9 5 3 3 6 10 14 9 6 5 5 6 6 7 9 12 19 27 33 37 35 25 16 10 8 8 8 8 9 13 12 9 7 5 3 2 3 5 9 15 19 19 17 15 11 8 8 8 6 3 1 1 2 1 0 0 1 4 11 20 28 28 27 28 31 36 46 48 46 39 29 20 10 5 6 12 24 32 36 40 51 50 42 34 31 38 52 67 73 64 63 62 61 58 56 66 76 84 87 87 88 88 85 78 81 79 72 65 63 58 56 54 53 52 51 48 44 39 37 37 38 40 41 41 42 46 53 61 69 75 80 87 94 100 104 103 97 83 66 51 39 33 38 52 68 83 92 89 83 82 94 98 104 109 110
2 1 1 2 9 19 27 28 14 13 15 20 29 43 53 55 46 18 7 2 0 0 0 6 52 182 475 463 349 209 95 24 8 6 8 7 4 3 5 8 12 7 4 3 4 5 5 10 16 16 20 25 28 27 16 11 6 3 3 2 3 5 7 11 8 5 4 3 4 3 2 3 5 10 13 13 10 7 6 7 8 8 5 3 2 2 3 2 1 0 2 5 10 10 8 10 11 12 14 21 33 38 36 32 26 22 16 14 17 21 28 34 39 44 50 49 46 43 41 43 49 54 55 50 50 51 52 53 50 59 69 77 83 84 79 78 79 80 83 80 76 71 66 61 58 56 54 54 55 54 50 45 41 40 42 44 47 48 52 57 64 72 78 84 92 99 105 108 108 102 89 74 59 44 35 37 45 57 74 95 110 86 59 45 53 74 98 116 122
3 1 1 3 12 21 26 27 24 23 23 26 30 34 33 27 17 5 1 0 0 0 1 20 163 372 595 608 483 313 143 11 5 5 7 7 5 2 2 5 8 5 3 2 3 5 6 12 20 28 31 27 17 7 4 3 3 2 2 2 4 6 9 11 8 5 4 4 4 3 2 3 4 6 6 7 7 9 10 11 10 8 4 2 1 1 1 1 0 0 1 1 0 0 0 1 2 2 5 8 9 16 22 24 21 18 19 27 37 44 47 49 47 43 40 40 39 38 37 37 41 44 44 42 40 41 43 45 43 46 53 64 76 85 79 76 76 78 80 79 77 74 70 66 65 65 65 65 65 64 61 56 52 52 52 53 57 60 64 68 73 81 89 97 105 113 119 121 115 101 81 62 46 36 33 39 44 50 61 81 113 89 61 54 73 110 138 153 154
3 1 0 1 3 4 4 8 16 15 18 19 18 15 10 6 2 0 0 0 2 15 54 217 311 387 443 438 354 240 115 7 4 5 6 7 5 2 2 4 6 5 3 4 6 11 16 22 27 30 30 26 16 7 5 6 6 6 7 6 8 11 14 17 16 13 12 11 8 7 6 6 6 6 5 5 7 11 14 14 11 7 2 1 0 0 0 0 1 1 1 0 0 0 0 1 2 1 2 3 7 16 28 37 42 40 40 46 54 60 62 61 61 56 44 37 35 37 40 40 41 40 36 33 33 32 34 35 32 37 48 60 72 83 83 81 78 75 73 74 76 77 74 73 74 75 76 78 80 80 78 72 62 68 72 70 70 72 75 77 81 87 98 110 120 128 124 117 103 84 63 46 36 33 38 41 42 42 45 57 102 93 76 81 119 151 170 174 165
3 3 2 1 1 1 4 7 8 8 2 1 2 2 1 0 0 0 0 0 19 79 204 460 392 329 288 250 177 96 38 5 3 5 6 6 5 2 1 5 9 7 5 7 13 21 25 27 26 23 20 18 14 12 12 15 16 16 17 18 21 25 28 30 29 26 24 21 15 11 10 9 7 5 5 6 7 10 14 13 9 3 0 0 0 0 0 0 0 1 1 2 2 3 5 6 8 6 7 11 17 28 42 56 63 59 63 68 72 75 74 62 48 35 27 24 24 25 28 31 33 33 30 26 24 25 26 28 30 39 52 61 67 77 79 78 76 72 71 70 72 75 78 86 98 103 96 103 106 102 92 82 71 84 93 91 86 83 83 85 86 90 102 118 134 142 122 107 90 72 54 44 39 40 44 45 45 44 45 52 91 101 101 112 156 169 172 169 149
3 4 3 2 5 15 47 78 98 96 52 13 0 0 0 0 0 0 1 3 36 142 280 390 281 204 150 104 36 12 1 2 4 6 7 6 5 1 2 3 5 6 8 16 23 27 23 19 17 15 13 15 18 21 24 26 28 30 32 36 41 43 42 39 34 30 26 22 17 11 10 9 8 6 9 10 11 12 11 7 3 0 0 0 0 0 0 1 3 6 10 16 19 20 20 21 21 20 21 24 28 36 56 66 67 70 73 74 72 67 60 50 37 25 16 14 13 15 19 22 23 24 26 28 22 21 23 30 44 62 70 73 72 71 69 68 69 71 73 76 80 84 89 100 111 114 106 120 120 108 93 86 89 89 87 86 90 86 86 88 91 96 106 123 141 150 132 112 91 72 57 51 49 48 48 49 49 48 47 54 90 118 136 146 181 190 183 162 127
3 3 2 23 73 155 280 322 322 272 151 37 4 0 0 0 8 16 23 30 57 153 246 283 207 111 43 10 2 3 3 5 6 7 7 6 4 1 2 3 5 6 8 13 16 18 16 13 11 11 15 21 24 27 30 35 40 45 50 52 51 48 42 34 25 22 20 19 18 14 13 13 12 8 13 16 16 15 11 4 1 0 0 0 1 1 2 4 10 17 27 39 49 48 44 41 39 39 40 42 46 52 66 75 78 74 68 64 58 50 39 33 26 21 17 18 19 21 23 24 22 19 17 18 25 26 29 34 42 49 67 81 87 86 81 77 77 84 88 95 101 104 105 113 117 117 120 137 158 167 157 124 122 120 117 110 97 89 88 91 96 101 110 127 149 155 143 124 102 79 62 55 52 50 49 50 51 49 47 59 89 119 143 159 187 201 197 172 131
10 15 37 91 162 272 425 458 403 292 153 33 7 1 1 2 31 47 53 58 86 124 152 151 104 48 15 2 3 4 6 7 8 8 6 5 4 2 2 3 6 9 13 17 15 13 13 11 10 12 17 24 28 32 37 42 49 49 49 50 48 41 33 24 16 13 15 17 17 14 10 9 9 9 13 15 15 13 9 4 1 0 0 1 4 6 8 12 20 33 46 57 63 59 58 59 62 65 69 74 80 89 92 87 77 66 57 53 48 41 34 30 27 25 23 23 26 29 32 33 32 31 30 31 30 35 46 59 70 62 55 63 83 101 99 98 101 109 112 113 114 116 120 127 132 137 145 157 168 174 171 151 144 140 134 122 103 94 93 96 102 107 114 130 152 156 148 134 113 88 72 68 66 60 48 47 48 49 51 66 86 106 122 139 175 202 213 204 178
89 187 226 186 214 242 258 243 198 140 73 13 3 1 2 9 45 69 74 76 95 67 47 30 14 5 2 1 2 4 6 8 9 8 7 6 5 5 4 5 7 9 10 13 13 11 9 9 10 16 23 29 33 36 39 43 48 49 49 48 43 33 22 15 12 9 14 18 19 17 8 7 7 7 11 13 14 13 10 7 6 5 6 8 14 19 27 40 54 66 75 78 77 74 75 80 87 93 96 98 102 106 107 103 95 80 61 54 48 42 36 30 26 22 20 24 27 30 32 33 33 32 30 29 27 36 51 63 63 50 42 42 52 64 73 82 93 105 115 124 128 130 131 138 151 168 185 194 193 186 173 152 144 143 139 126 110 102 100 102 108 113 120 132 151 158 152 141 121 89 65 56 57 60 47 45 46 49 54 63 79 94 105 121 140 152 151 139 129
83 161 190 141 100 78 62 43 25 13 5 1 2 3 4 9 27 53 65 63 51 23 10 4 2 1 0 1 2 3 5 7 8 8 8 7 7 7 8 8 10 10 10 10 8 7 7 8 14 22 29 34 37 38 40 41 42 43 42 40 38 31 20 14 12 13 19 26 28 23 9 8 8 9 14 21 26 27 26 26 33 37 38 37 49 64 80 95 105 106 102 96 89 89 90 91 93 93 94 96 99 104 112 117 115 104 84 73 63 55 49 43 38 31 24 22 22 23 25 27 31 31 28 24 20 21 25 27 27 30 32 32 31 31 40 53 69 88 109 127 140 148 147 160 182 204 219 216 206 192 176 158 147 145 142 130 118 111 109 110 114 119 125 135 148 157 159 154 135 89 49 30 35 56 51 49 49 51 55 61 74 85 91 94 94 94 95 94 93
24 45 52 37 13 7 4 2 1 2 2 3 4 4 4 4 4 6 11 13 10 5 3 3 3 2 1 0 0 1 3 5 6 8 10 7 8 9 10 10 10 8 7 7 5 6 8 12 18 25 29 32 34 35 37 40 43 43 41 38 32 24 16 14 16 20 27 32 30 22 10 15 18 23 33 45 54 57 56 60 70 79 89 99 115 123 124 123 122 116 105 93 85 79 77 77 78 79 83 87 92 100 109 116 116 110 97 84 74 65 59 54 47 38 28 23 22 23 26 30 34 35 32 26 22 21 22 24 28 32 33 32 32 38 48 61 74 90 107 124 140 153 159 182 205 216 209 201 186 173 164 158 148 146 144 133 123 118 116 116 118 124 130 136 142 150 160 167 161 123 78 49 48 76 69 61 56 56 58 66 73 78 79 76 75 75 79 83 88
1 2 3 2 0 1 1 1 2 3 3 4 5 6 6 6 5 4 3 3 3 3 3 4 4 3 0 0 1 1 1 3 4 5 7 7 8 9 9 9 8 6 5 5 5 7 11 15 18 25 28 30 31 33 34 37 41 40 37 32 27 23 26 26 27 29 31 29 25 21 21 33 46 59 70 77 82 86 90 95 104 114 120 123 123 124 124 122 116 106 92 80 72 68 66 66 67 71 72 75 79 84 91 96 97 92 81 68 58 52 49 49 44 36 29 25 26 28 33 40 43 42 38 33 30 30 31 33 37 40 42 42 45 52 60 70 81 94 105 115 125 136 151 171 187 190 177 171 161 153 148 148 146 148 149 141 132 127 125 124 125 129 133 134 133 137 146 163 183 180 147 113 92 98 84 71 63 61 63 69 72 72 68 66 68 72 77 80 84
4 4 3 3 3 2 3 3 3 2 3 4 5 6 6 6 6 6 4 4 3 3 4 4 4 3 1 0 1 1 2 3 3 2 2 5 7 9 9 8 7 6 5 6 6 9 14 19 22 26 29 31 33 34 34 35 36 34 31 30 28 26 33 37 38 36 32 28 28 33 41 55 67 77 85 87 91 93 96 101 110 118 120 119 118 117 114 111 105 96 83 73 67 63 59 54 52 53 48 48 50 53 55 57 56 53 48 43 39 36 34 33 30 26 24 25 27 30 37 48 53 52 48 44 42 43 43 44 47 49 51 53 55 60 67 76 86 96 102 109 117 124 132 143 154 160 154 148 144 142 142 145 147 151 154 150 143 136 133 132 131 131 131 129 125 127 135 151 175 193 193 173 143 120 97 78 66 61 63 66 67 65 62 66 70 74 76 77 78
4 5 5 4 4 4 3 2 2 2 2 3 4 5 5 5 5 5 4 4 5 5 5 5 4 3 2 1 1 1 1 1 1 0 1 4 7 8 9 8 7 7 6 7 8 11 16 19 22 26 28 30 32 34 33 33 33 31 32 35 34 32 36 40 39 35 31 35 40 47 56 64 72 80 87 90 99 94 90 94 107 112 110 105 106 105 105 103 99 92 81 72 64 56 45 37 32 32 32 32 32 31 30 28 27 27 28 28 26 24 22 21 19 19 20 21 23 30 43 58 66 65 62 57 55 55 55 55 57 59 61 62 65 69 75 84 92 98 104 110 115 121 126 131 136 139 139 140 142 143 145 149 153 156 159 160 152 143 133 125 119 120 123 125 122 124 131 142 156 164 180 180 163 143 118 90 70 64 68 70 70 69 70 73 76 77 77 76 73
3 3 4 4 4 3 3 2 2 1 2 2 3 3 4 4 5 5 5 5 5 5 6 6 4 3 2 1 1 1 1 1 0 0 2 6 9 9 9 9 8 8 8 9 11 14 18 20 22 23 25 27 29 31 32 33 33 35 37 42 44 45 48 46 42 38 37 42 49 56 64 70 75 81 87 93 96 93 92 96 104 103 102 101 101 101 101 101 99 91 78 66 56 47 36 32 31 30 29 28 27 25 22 19 19 20 22 24 21 18 17 16 15 16 17 19 23 36 53 68 76 77 75 71 66 64 63 64 65 70 71 73 76 80 85 92 97 101 107 112 117 121 123 126 129 132 136 141 147 151 153 157 159 162 166 171 166 142 109 77 61 63 74 88 99 109 120 130 136 135 138 143 148 147 132 116 102 95 93 89 85 82 82 82 82 81 78 73 69
1 2 4 3 3 2 2 1 1 1 2 2 2 3 3 4 5 6 6 5 6 6 6 6 5 4 2 1 1 1 0 0 0 1 4 7 10 10 10 10 10 10 9 10 11 14 18 20 22 25 27 27 29 32 34 35 37 39 42 44 48 53 56 55 52 49 48 47 56 63 66 67 67 77 87 92 92 91 93 95 94 92 93 95 97 97 98 97 94 85 69 55 45 39 34 32 31 29 27 25 24 22 20 17 17 19 22 24 25 25 23 21 20 21 23 26 31 41 53 63 73 82 85 83 78 76 74 73 74 79 80 83 88 92 95 98 102 106 111 116 121 124 125 127 130 134 138 144 151 155 156 158 160 164 170 181 182 145 89 36 15 9 7 10 35 65 96 122 134 135 137 140 146 154 155 151 145 138 127 114 103 97 92 89 87 83 77 70 66
1 1 3 3 2 2 2 2 2 2 2 3 3 3 3 3 5 5 5 5 6 7 7 7 6 5 4 2 2 1 0 0 0 3 6 9 11 9 9 9 8 8 8 8 9 12 17 20 22 24 26 25 26 29 33 37 40 42 42 43 49 56 61 62 57 56 53 48 53 58 59 58 60 67 73 75 71 72 80 90 94 92 91 91 93 96 97 94 88 77 62 49 40 37 34 31 29 27 24 23 22 20 19 17 19 23 28 35 37 38 37 35 33 31 32 35 41 48 56 65 73 83 88 90 91 88 85 83 81 85 89 94 99 102 103 106 109 112 116 121 126 128 128 132 138 143 146 145 151 155 154 157 167 178 186 189 188 162 115 52 11 2 1 2 5 22 64 111 133 142 146 148 151 163 165 162 155 147 140 127 114 104 98 93 88 83 76 68 62
1 1 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 6 6 7 6 6 5 4 3 2 1 1 1 2 5 8 10 10 9 7 6 6 7 7 9 13 16 18 18 17 16 14 17 22 31 38 41 42 43 42 47 52 57 58 51 49 47 44 46 48 48 48 53 54 58 63 69 77 83 89 96 94 91 90 91 92 97 93 83 71 59 49 42 37 32 28 26 24 23 23 22 20 18 19 24 32 41 48 49 49 46 42 38 36 36 39 42 46 53 62 74 82 89 93 94 91 89 87 87 90 96 101 105 109 109 111 114 118 122 126 130 132 134 139 144 149 154 159 157 154 153 155 158 163 168 171 182 183 164 118 70 38 17 6 4 8 40 89 128 146 149 144 141 147 149 146 140 133 128 119 109 101 97 92 86 79 69 60 53
2 2 2 4 4 4 3 3 3 4 4 4 4 4 3 3 3 4 4 4 5 6 6 6 6 6 6 6 5 4 3 2 1 0 1 3 4 4 3 3 3 5 6 7 9 12 14 14 13 12 12 11 15 22 30 36 38 41 44 43 43 46 49 52 48 46 44 42 41 42 42 43 47 47 50 56 66 82 88 90 90 87 86 89 92 94 99 90 77 64 57 51 45 39 31 27 24 23 22 22 20 20 20 24 33 45 56 61 61 59 54 49 45 43 42 43 45 47 49 55 72 80 87 92 94 92 92 93 95 98 99 103 108 110 109 110 112 114 119 125 130 133 133 133 137 142 146 153 159 160 155 140 124 115 114 125 147 170 185 184 135 93 64 46 33 31 51 89 127 145 145 135 128 132 133 130 122 114 107 101 96 93 90 85 78 68 55 44 37
3 4 6 6 6 5 4 3 3 3 3 3 3 4 4 4 3 4 4 5 5 6 6 6 6 6 6 7 6 5 3 2 1 1 0 1 2 2 2 2 2 4 5 5 7 9 11 11 10 9 9 10 17 23 29 33 36 39 41 42 41 42 44 49 52 49 41 34 29 33 36 38 40 41 47 56 68 77 80 79 76 75 79 84 89 93 91 81 69 60 58 55 49 40 30 25 21 19 18 19 19 19 21 27 41 55 66 72 73 72 67 59 55 53 52 52 51 50 49 51 58 67 77 85 92 92 93 94 95 97 101 106 109 104 102 100 96 92 99 109 115 116 114 112 112 117 133 146 151 149 137 115 91 77 79 97 126 154 175 185 142 104 83 82 82 77 83 104 126 137 139 134 126 120 117 111 100 86 78 74 74 76 77 72 64 52 41 31 22
4 5 7 7 6 5 4 3 2 2 2 2 1 3 3 3 3 4 5 5 6 6 6 6 6 6 6 7 7 6 4 3 2 2 2 1 1 1 1 1 2 3 3 3 5 7 9 10 10 10 10 11 16 22 29 35 35 40 42 41 41 42 42 41 42 37 31 26 22 25 28 29 31 36 46 58 68 69 67 66 68 74 82 83 83 83 72 59 54 59 78 66 51 37 26 20 17 15 14 16 16 17 21 28 45 60 72 79 83 86 82 72 69 67 66 63 58 52 48 46 47 53 62 72 80 81 82 83 85 89 96 100 100 92 87 80 74 68 76 82 86 90 92 89 86 90 108 124 133 132 116 91 69 58 59 73 95 121 142 143 124 100 77 64 65 73 84 97 113 123 128 123 95 64 63 71 59 45 36 34 37 46 51 50 44 34 23 15 10
4 4 5 5 4 4 3 3 2 1 1 2 2 2 3 3 3 3 4 5 6 6 5 5 5 5 6 6 6 6 5 4 4 3 3 3 3 3 3 3 4 4 4 4 5 6 7 9 12 13 13 13 17 24 30 34 35 37 37 37 36 34 33 30 27 24 22 21 21 23 24 25 28 37 52 63 68 66 61 61 65 73 80 81 79 76 68 64 67 77 95 72 51 33 21 17 15 14 13 14 14 14 18 26 43 59 71 79 83 87 87 82 81 80 78 74 66 57 51 47 46 50 59 65 65 63 63 64 66 68 70 70 69 65 61 56 53 53 57 60 63 66 70 68 66 69 79 95 116 120 93 64 48 43 47 57 67 86 110 125 131 115 82 39 29 30 37 50 79 94 103 102 75 27 10 14 10 6 5 6 8 11 16 19 18 12 7 4 3
1 1 2 2 2 3 3 3 2 1 1 2 2 2 2 3 3 4 5 5 6 6 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 5 5 5 6 6 7 9 13 17 17 15 14 17 24 28 30 34 33 32 29 26 24 23 21 17 15 15 14 15 18 18 21 27 37 50 59 63 63 59 60 65 74 78 74 73 74 77 79 79 77 70 52 35 22 13 8 8 9 9 11 13 14 17 26 40 53 64 72 77 81 84 83 81 79 80 80 71 62 55 51 50 52 57 59 56 53 51 52 52 50 49 46 43 38 37 40 43 46 49 50 51 53 57 55 53 54 59 73 100 112 82 55 38 31 34 46 54 60 68 81 97 93 74 43 27 12 4 8 18 35 50 61 57 36 18 6 0 0 0 0 0 1 0 0 0 0 0 0 0
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