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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 7 8 8 9 9 9 8 7 7 6 6 7 7 8 9 8 8 8 7 7 8 8 9 10 10 11 10 10 8 8 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 6 6 7 7 8 8 8 8 8 7 6 6 6 6 6 6 7 7 8 8 8 8 8 9 9 9 9 8 8 8 9 10 11 11 11 11 10 8 6 6 6 7 7 7 8 8 7 7 7 8 10 12 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 9 9 9 9 8 8 8 9 10 11 nan
nan 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 6 5 5 7 8 8 8 8 9 9 8 7 7 6 6 7 7 8 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 8 8 7 7 6 6 6 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 11 11 11 11 11 11 11 10 10 10 10 11 11 10 10 10 9 9 8 7 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 6 7 8 8 8 8 8 9 9 9 9 8 8 7 7 7 8 10 11 11 10 9 6 5 5 6 7 7 7 7 7 7 7 8 9 10 11 11 11 10 10 11 11 11 10 10 9 9 9 9 9 9 10 11 10 10 10 9 9 8 9 9 9 9 10 nan
nan 6 6 5 5 6 6 6 7 7 7 7 7 7 7 7 7 6 6 7 8 8 8 8 8 8 7 7 6 7 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 12 12 11 10 10 9 9 8 8 7 7 6 6 7 7 7 8 8 8 7 6 6 6 7 8 8 8 8 8 8 9 9 9 9 8 7 6 6 7 8 9 10 10 9 8 6 5 6 7 7 7 7 7 8 9 9 10 10 10 11 10 10 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 8 8 8 9 nan
nan 6 6 6 6 6 6 6 6 6 7 7 8 8 8 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 9 9 10 9 9 9 10 10 10 10 11 11 10 9 8 7 7 7 7 6 6 6 7 7 7 7 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 10 10 11 12 13 12 11 11 10 9 9 9 9 8 8 7 7 7 8 8 9 9 8 8 8 8 8 9 9 9 8 8 8 9 9 9 8 7 6 6 6 7 7 8 8 8 8 7 6 6 7 8 7 7 7 8 10 11 12 12 11 10 10 10 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 9 9 9 9 8 7 7 7 7 nan
nan 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 8 8 8 9 10 10 10 10 10 9 8 7 8 8 8 8 8 8 8 9 10 10 11 11 11 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 8 8 9 9 10 11 12 13 13 12 11 10 10 10 9 9 9 9 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 7 6 7 7 7 8 8 7 7 7 7 8 8 9 9 8 7 8 10 11 11 11 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 11 12 11 9 8 8 9 9 9 8 8 7 7 7 6 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 10 8 7 7 7 7 7 7 7 7 8 9 10 11 11 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 7 7 7 7 8 9 10 11 12 12 12 11 10 10 10 9 9 9 9 8 7 7 8 8 9 9 9 9 9 8 9 9 9 9 9 9 10 10 9 9 9 8 9 9 9 9 9 8 7 7 7 8 9 10 10 10 9 8 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 12 11 9 8 9 9 9 8 8 8 8 8 7 6 nan
nan 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 10 9 8 8 7 7 7 7 7 7 7 7 8 9 9 10 10 9 8 7 7 7 7 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 7 7 8 8 8 8 7 7 7 6 6 7 7 9 10 11 11 11 11 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 9 9 9 10 10 10 10 10 10 9 10 10 10 10 9 9 8 8 8 9 9 10 10 10 9 8 8 9 10 10 10 10 10 10 10 11 12 12 12 12 12 12 11 10 11 12 12 12 12 12 10 9 8 8 9 10 9 9 9 9 9 8 8 8 nan
nan 9 9 9 9 9 8 8 9 9 9 9 10 10 10 10 10 11 11 12 11 11 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 6 6 6 7 8 8 9 10 10 10 9 9 8 8 9 9 10 10 10 9 9 8 8 8 8 7 6 7 8 9 9 9 9 10 10 10 10 10 9 10 10 9 9 8 8 9 9 10 10 10 10 10 9 8 8 9 10 11 11 11 11 10 10 10 10 11 11 11 11 10 9 9 10 11 13 14 14 13 11 10 8 8 9 9 10 10 10 10 9 9 10 10 11 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 8 7 6 6 7 7 8 8 8 8 8 8 9 9 8 8 7 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 6 6 7 7 8 9 9 9 9 8 8 8 8 9 9 10 11 11 10 10 9 9 8 7 6 6 7 8 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 10 10 10 9 9 8 8 9 10 11 12 11 11 11 11 10 10 10 10 10 10 9 8 7 8 10 12 13 13 13 13 12 11 9 8 8 9 9 9 9 9 10 11 12 12 11 nan
nan 9 9 10 10 10 9 9 10 10 10 10 10 10 10 11 11 11 10 10 9 9 8 7 7 7 8 8 9 9 9 8 9 9 9 9 8 7 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 7 6 5 5 6 7 8 8 8 8 8 8 7 6 6 5 6 6 7 7 8 7 7 7 7 8 8 9 9 9 8 8 7 8 8 9 10 11 11 11 11 10 9 8 8 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 7 7 8 8 9 9 9 9 9 10 11 12 12 11 11 11 10 10 10 10 10 10 10 9 8 6 6 8 10 11 11 11 11 12 12 11 10 9 9 10 10 9 8 10 11 13 13 12 10 nan
nan 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 9 9 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 7 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 6 6 5 6 7 8 9 9 9 9 10 9 9 8 7 6 6 6 6 7 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 9 10 11 11 11 11 11 10 10 9 9 10 10 11 11 10 10 10 9 9 8 8 7 7 6 6 5 5 6 6 8 8 9 8 8 9 9 11 12 13 13 12 10 10 9 9 9 9 9 10 10 10 9 7 6 7 9 11 10 10 9 9 9 10 10 10 11 11 11 11 10 10 11 12 11 10 9 9 nan
nan 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 8 9 9 9 9 9 9 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 6 5 6 6 7 7 7 7 8 9 9 9 9 9 10 10 11 10 10 8 7 6 6 7 7 8 8 7 7 7 7 8 9 9 9 9 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 10 9 8 7 6 6 5 5 6 8 9 11 11 10 9 9 10 12 13 13 13 12 11 10 9 9 9 9 9 10 10 11 10 9 8 8 10 11 11 10 9 8 8 8 8 9 9 10 11 12 12 12 12 12 10 9 8 8 8 nan
nan 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 5 6 7 7 8 7 7 7 8 9 8 8 8 9 9 10 11 11 10 9 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 9 9 9 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 10 9 9 8 7 6 6 7 9 11 12 12 11 10 10 11 13 14 13 12 11 10 10 9 9 9 9 9 10 10 11 10 10 9 9 11 12 13 13 11 9 9 8 8 8 8 8 9 9 10 10 11 10 9 8 8 8 8 9 nan
nan 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 8 7 7 7 8 8 7 6 6 6 7 9 10 10 10 9 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 10 11 11 11 12 12 12 12 12 12 11 11 10 10 9 9 9 8 7 7 7 9 10 12 12 12 11 10 10 11 13 14 13 11 10 9 8 9 9 9 9 9 9 10 10 10 9 9 10 11 13 13 13 12 11 10 9 9 8 8 8 8 8 8 9 9 8 7 7 7 7 7 8 nan
nan 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 8 8 8 8 8 8 9 9 9 9 8 8 7 7 6 6 6 7 7 8 8 8 8 8 8 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 7 6 4 4 5 7 8 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 9 10 11 11 11 11 12 12 12 11 10 10 10 9 8 8 8 8 7 7 8 10 11 12 12 11 11 11 11 11 11 11 10 9 8 7 7 8 8 9 9 9 9 9 9 10 10 10 10 11 12 12 12 11 11 11 10 9 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 nan
nan 11 11 11 11 11 11 11 10 10 10 9 10 10 10 10 11 10 10 9 8 7 7 7 8 8 8 7 7 7 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 9 9 9 9 9 9 9 9 10 11 11 9 6 4 4 5 6 7 7 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 8 9 10 11 12 12 11 12 12 11 10 10 10 9 9 8 8 7 7 8 9 10 12 13 13 12 11 10 10 10 10 10 10 9 8 7 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 8 8 7 7 7 7 7 7 8 8 nan
nan 12 12 11 11 11 11 10 9 9 8 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 7 5 5 4 4 4 5 5 6 6 6 7 7 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 9 10 10 9 9 8 8 9 8 8 9 10 11 12 10 7 5 5 5 6 6 7 7 8 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 8 8 7 7 8 9 10 11 12 12 12 12 11 11 10 10 10 9 8 7 7 7 7 9 10 12 13 13 13 11 10 9 9 10 10 9 9 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 9 9 8 8 7 8 8 9 10 11 11 nan
nan 12 11 11 10 10 9 8 7 7 7 8 8 9 8 8 7 7 7 7 7 8 8 8 7 6 5 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 9 10 9 8 7 7 7 8 7 7 7 8 10 11 10 8 7 6 6 6 6 7 7 8 8 8 9 9 10 10 11 11 11 11 11 12 12 11 11 10 9 8 8 8 8 9 9 9 10 10 11 11 11 10 10 10 9 9 9 8 7 7 7 7 8 9 11 12 13 12 11 10 9 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 9 9 10 10 10 10 9 9 9 9 10 11 11 12 11 nan
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nan 10 9 8 8 7 6 6 6 6 7 8 8 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 8 8 8 9 9 10 10 10 9 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 6 5 4 4 5 5 5 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 11 12 12 12 12 11 10 9 10 10 10 10 9 8 7 8 8 7 6 5 4 4 5 5 4 3 3 3 4 5 7 8 8 8 7 6 5 5 5 6 7 7 7 7 8 9 9 9 9 9 9 8 9 9 9 8 7 6 5 4 4 4 4 4 5 6 8 9 8 8 10 11 11 11 11 11 11 12 12 12 13 13 12 11 10 10 nan
nan 10 9 9 8 7 7 6 7 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 11 10 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 7 5 5 4 4 4 5 6 7 9 9 7 6 6 7 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 12 12 12 12 12 12 12 11 10 9 8 8 8 8 8 7 6 5 4 4 4 4 3 4 4 5 5 6 6 5 5 5 5 5 4 4 4 4 4 4 6 8 9 9 9 9 9 8 8 8 8 8 6 4 3 2 3 5 6 6 7 9 11 10 9 8 9 10 11 12 12 12 12 12 12 12 12 12 12 11 11 10 10 nan
nan 9 8 8 8 8 7 7 7 8 8 8 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 10 10 11 12 12 12 11 10 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 6 5 4 5 5 5 5 6 7 8 8 7 6 6 6 7 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 11 12 13 13 14 14 12 11 10 9 8 8 8 8 8 9 9 8 6 5 4 4 5 6 6 6 6 5 4 4 4 5 5 5 5 4 3 2 2 3 5 7 8 9 9 9 9 8 8 8 7 7 5 4 4 4 5 6 8 10 12 13 13 11 10 9 10 11 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 nan
nan 8 8 7 7 7 7 8 8 9 9 9 9 10 10 10 11 11 11 10 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 11 9 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 9 8 6 5 5 5 5 5 5 6 7 7 8 8 7 6 6 6 7 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 11 13 14 14 14 13 11 10 9 8 8 8 8 9 11 12 11 10 8 6 5 5 6 7 7 7 6 5 5 5 4 4 3 3 4 3 3 3 4 5 6 7 8 9 9 8 8 7 7 7 7 8 9 9 9 9 9 10 12 13 12 12 11 11 11 12 12 11 11 11 11 11 11 10 9 8 8 9 9 10 10 9 nan
nan 7 7 8 8 8 8 8 9 9 10 10 10 11 11 10 10 10 9 9 8 9 9 10 10 11 11 12 12 12 12 12 12 11 11 9 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 7 6 5 5 5 5 5 5 6 6 7 8 9 8 7 6 6 7 8 9 9 9 9 9 8 9 9 10 10 10 10 9 9 8 8 9 9 11 12 14 14 13 12 11 10 9 8 8 7 8 9 11 12 13 13 12 9 7 7 7 8 7 7 7 7 7 7 6 5 4 4 4 4 4 5 6 7 7 8 8 8 8 8 8 8 7 8 9 10 11 12 11 10 10 10 10 9 9 9 10 12 13 13 12 11 9 9 8 8 8 7 6 6 7 8 8 9 9 9 nan
nan 7 7 8 9 9 9 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 12 12 13 13 13 13 13 12 11 10 9 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 7 7 6 6 6 6 6 6 6 6 7 8 9 9 9 8 7 7 7 8 9 9 9 9 9 8 9 9 9 10 11 10 9 9 8 8 8 9 10 11 12 13 12 11 10 9 8 8 8 8 8 9 10 11 12 14 13 11 10 9 9 9 8 8 8 9 9 10 10 9 9 8 7 6 5 5 6 7 8 8 8 6 6 7 7 8 8 8 8 8 8 8 8 9 9 8 6 5 6 7 9 12 13 13 12 10 8 8 7 7 7 6 7 8 9 9 9 9 9 9 nan
nan 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 13 13 13 13 13 13 13 13 12 11 10 9 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 7 7 7 7 6 6 6 7 7 7 7 7 7 8 9 9 9 9 8 7 7 8 9 10 11 10 10 9 9 9 10 10 11 11 10 9 9 8 8 9 9 10 11 11 11 10 9 8 8 9 9 9 9 9 9 9 10 12 12 11 11 11 11 10 9 9 10 11 13 13 13 13 12 12 11 9 7 5 5 6 7 8 8 7 6 6 6 6 6 5 4 4 5 7 9 9 8 6 4 4 5 6 8 10 11 11 10 9 9 9 9 9 8 8 9 11 11 11 11 10 10 9 nan
nan 9 9 10 10 10 11 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 6 6 7 7 7 7 7 8 9 9 9 9 8 8 7 7 8 10 11 11 11 10 9 9 9 10 11 11 11 10 10 9 8 8 8 9 10 10 10 10 9 9 8 8 9 10 9 9 9 9 8 9 10 10 11 12 12 12 11 11 12 13 14 15 15 14 14 13 13 13 12 9 7 6 5 6 7 8 9 9 8 7 6 6 5 5 6 8 11 12 12 10 7 6 6 7 8 10 10 10 9 9 10 11 11 11 9 8 9 10 10 10 10 10 10 9 8 nan
nan 8 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 7 6 6 5 5 6 7 7 8 8 8 8 9 9 8 7 7 7 7 9 11 11 11 11 10 10 10 10 10 11 11 10 10 10 9 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 8 9 9 9 9 9 10 11 11 12 11 12 12 13 13 14 14 14 14 14 15 15 16 15 14 13 11 9 8 7 9 10 11 10 9 8 8 7 8 11 12 13 13 12 10 9 8 8 9 11 12 12 12 11 11 11 11 10 8 7 8 8 8 8 8 9 8 8 7 7 nan
nan 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 10 10 10 11 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 4 5 6 7 8 9 9 9 9 9 9 8 8 7 7 8 10 11 11 11 10 10 11 11 10 10 10 10 9 9 9 8 8 8 8 7 8 8 8 8 8 7 7 8 8 8 8 8 9 10 10 10 10 11 11 11 11 11 11 12 12 13 12 12 12 13 15 16 17 17 17 17 18 18 17 16 14 13 13 12 11 11 10 10 10 11 12 11 11 10 8 8 8 8 9 11 13 14 14 13 12 11 10 8 7 6 7 8 9 8 8 8 8 7 7 7 7 nan
nan 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 6 6 6 5 5 5 4 4 4 4 4 5 5 6 6 5 5 5 5 6 7 9 10 11 10 10 9 9 9 9 9 9 10 11 12 11 11 11 11 12 11 11 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 14 15 15 15 15 17 20 23 24 23 21 18 16 14 12 12 12 11 11 11 10 9 8 7 6 7 8 9 10 12 13 14 14 12 11 9 8 7 6 7 9 10 10 9 9 9 9 9 9 8 8 nan
nan 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 10 10 11 11 11 10 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 6 5 5 4 4 4 4 5 5 6 6 7 6 6 6 6 6 8 10 11 11 11 10 9 9 9 9 10 10 11 11 11 10 10 11 12 12 12 11 10 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 10 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 12 12 12 13 13 13 12 12 13 16 19 22 23 22 19 17 16 14 14 13 12 11 11 10 9 9 9 8 9 9 10 11 12 12 13 13 12 11 10 10 10 9 9 10 10 10 10 10 11 11 12 12 12 11 11 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 9 10 11 11 12 12 12 11 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 7 6 5 5 4 4 5 5 6 6 7 7 7 7 6 6 8 10 11 12 11 11 10 9 9 9 10 9 9 9 10 10 10 10 11 12 12 12 11 11 10 9 9 8 8 8 8 8 7 7 7 7 8 8 9 9 10 10 11 12 12 11 10 10 10 11 11 12 13 14 13 13 13 13 13 12 12 12 12 12 12 12 12 12 15 17 19 20 18 16 14 13 14 14 13 12 11 10 9 9 9 11 11 11 11 10 10 10 10 11 12 12 12 11 11 12 13 13 12 12 12 11 11 12 13 14 14 14 12 12 12 nan
nan 7 8 8 9 9 9 9 9 9 8 9 9 9 10 10 10 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 9 10 11 12 12 12 12 11 11 11 10 11 11 11 11 11 11 11 11 10 10 10 9 9 7 6 6 5 5 5 5 6 7 7 8 8 8 8 9 11 12 12 11 11 10 10 10 10 10 9 8 8 8 9 10 11 11 11 12 12 12 12 12 11 11 11 10 9 9 9 9 8 8 9 9 9 10 10 10 10 11 12 12 12 11 10 8 8 9 10 12 13 14 13 12 11 11 11 11 10 10 11 11 12 12 13 15 18 20 20 18 15 12 10 10 11 11 10 9 8 8 8 8 9 10 11 11 10 9 8 8 9 11 11 12 12 12 13 14 14 14 14 14 13 13 14 14 15 14 13 11 10 10 11 nan
nan 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 9 10 11 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 11 11 10 10 9 8 7 6 5 5 5 6 7 8 9 10 10 10 11 11 12 11 11 10 10 10 10 10 9 8 7 7 8 10 11 12 11 11 11 12 12 12 12 12 12 13 12 11 11 10 10 11 11 11 11 10 10 10 10 11 11 11 12 11 11 10 8 7 7 9 11 13 13 12 10 9 9 9 9 9 9 10 11 11 12 14 16 19 21 20 17 14 11 9 8 7 6 6 5 4 5 5 6 6 6 6 6 6 7 7 7 8 9 9 9 10 12 13 13 13 13 14 14 14 15 15 15 14 11 9 9 9 10 10 nan
nan 9 10 10 10 9 8 8 9 9 9 9 9 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 10 10 11 11 12 12 13 13 14 15 16 17 17 16 15 15 14 13 12 11 10 9 8 7 6 6 5 6 6 8 10 12 12 11 11 11 10 10 10 10 9 9 8 7 6 6 6 7 9 11 12 11 10 10 10 11 12 12 12 13 13 14 14 13 12 12 12 13 12 12 11 10 10 10 10 10 11 11 11 11 11 10 8 7 7 9 11 13 12 10 9 7 7 8 8 9 9 10 11 11 12 14 16 19 20 20 18 16 13 10 8 6 5 4 3 2 2 2 2 3 2 2 2 3 4 5 6 6 5 5 6 6 7 9 10 11 12 12 12 13 13 13 13 11 9 9 9 9 10 11 nan
nan 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 11 12 12 13 15 17 19 20 20 19 18 16 15 14 13 12 11 9 8 7 6 6 6 6 8 9 11 12 11 10 10 9 9 9 9 8 8 6 4 4 6 7 9 10 11 10 9 8 9 9 10 11 12 12 13 14 14 13 13 13 13 14 14 13 11 10 10 10 10 11 11 11 12 12 12 11 11 10 9 8 9 12 12 11 9 8 7 8 9 9 10 10 11 11 12 13 14 15 17 19 20 20 19 17 15 12 11 9 8 6 5 5 4 3 4 4 4 5 5 6 7 9 9 8 7 6 5 5 7 9 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 nan
nan 10 10 10 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 14 17 19 21 22 21 20 19 17 16 14 13 12 10 9 8 7 6 6 6 7 9 10 12 11 11 10 9 8 8 8 8 6 3 3 5 8 11 11 10 8 7 6 6 8 9 11 11 11 12 13 13 13 12 12 13 15 16 15 12 11 9 9 10 10 11 11 12 12 12 12 11 11 10 9 8 10 11 11 10 9 9 10 11 11 11 11 11 12 12 12 13 13 14 15 17 17 18 20 20 19 17 16 16 15 14 13 13 12 11 10 10 11 12 13 14 15 16 16 15 14 13 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 nan
nan 10 11 11 10 9 9 9 9 9 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 14 16 18 19 21 21 21 20 18 17 16 14 13 11 9 8 8 7 6 7 7 9 11 12 12 11 9 8 8 8 9 8 5 2 3 5 9 12 11 8 6 5 5 6 9 11 12 12 11 11 12 12 13 13 13 14 16 17 15 13 11 9 9 9 10 10 11 11 12 12 11 10 10 9 8 8 10 11 12 11 10 10 12 13 13 12 12 12 13 13 13 13 12 12 12 13 14 15 17 18 18 18 18 18 17 18 19 20 19 18 17 17 18 19 20 22 22 22 22 21 20 19 18 16 14 10 8 7 7 7 8 9 10 10 10 10 9 8 8 8 9 nan
nan 11 12 11 10 9 9 9 10 10 9 9 8 8 7 7 6 6 6 6 7 7 7 7 7 7 8 8 8 9 9 10 10 10 11 11 12 12 12 12 12 11 11 12 13 14 15 16 17 18 19 20 20 19 18 16 15 13 11 10 9 8 7 6 6 7 9 11 13 13 12 10 9 8 9 10 10 7 4 4 5 9 11 10 8 6 5 5 7 10 12 12 12 11 11 11 12 14 14 13 14 15 17 16 16 13 10 9 9 9 9 9 10 10 10 10 9 8 8 7 7 10 11 12 11 10 11 12 13 13 12 12 12 12 13 12 12 11 10 10 11 11 12 13 14 14 15 15 15 15 17 19 20 20 20 20 20 20 21 22 22 23 24 24 23 21 20 20 17 14 10 7 6 6 6 8 10 11 11 10 9 8 8 8 8 8 nan
nan 11 12 11 10 9 9 9 9 9 9 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 9 9 10 10 11 12 12 12 13 13 13 13 12 12 13 14 15 16 16 15 16 17 18 19 19 18 16 14 12 11 9 8 7 7 6 6 6 8 11 15 15 13 11 9 8 9 10 10 8 6 5 5 8 10 9 8 7 6 7 9 11 12 12 12 10 10 11 13 14 14 12 12 14 15 17 18 16 13 10 9 8 8 9 9 9 9 9 8 7 7 7 8 10 11 12 11 11 11 11 12 12 12 12 12 11 11 11 10 9 9 10 11 12 12 11 11 11 12 12 12 12 14 16 17 17 18 18 17 17 17 17 17 19 21 22 21 20 19 18 17 15 12 9 7 7 8 10 11 11 11 9 9 8 8 8 9 9 nan
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nan 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 11 13 14 15 15 15 15 15 14 13 13 12 12 12 11 11 11 10 10 9 9 8 8 8 9 9 9 9 9 9 10 10 11 12 13 14 13 11 10 9 10 12 14 15 15 14 14 15 15 15 14 13 12 11 10 10 10 9 9 8 8 9 9 9 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 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 13 14 13 12 12 11 11 11 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 12 12 11 10 10 10 10 10 10 10 11 11 11 10 10 10 nan
nan 15 14 14 13 12 12 12 12 12 12 12 11 10 10 10 10 9 8 8 8 9 9 10 11 13 14 15 15 15 14 14 13 13 12 11 11 11 12 12 12 11 11 10 9 9 9 8 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 11 11 12 12 13 13 13 12 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 13 13 12 12 11 11 11 11 12 12 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 11 10 9 10 10 10 10 10 10 10 10 10 10 9 nan
nan 15 15 15 15 13 12 11 11 12 13 12 11 11 10 10 9 9 8 8 8 9 10 11 12 14 15 15 15 14 13 12 12 11 11 11 11 11 12 12 12 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 13 13 12 12 11 10 10 9 9 10 10 10 11 11 11 11 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 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 12 11 11 11 11 11 12 12 13 13 13 12 12 12 12 12 12 12 12 11 10 10 9 9 9 10 10 11 10 10 10 10 10 10 10 nan
nan 12 14 15 16 14 12 11 11 11 12 12 11 10 10 9 9 8 8 9 9 10 11 12 13 14 14 14 13 12 11 11 10 10 10 11 11 12 12 12 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 13 13 12 11 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 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 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 13 12 10 9 9 8 9 10 10 11 11 11 10 10 10 10 10 nan
nan 10 12 14 15 14 12 11 11 12 12 11 11 10 9 9 9 8 8 9 10 11 13 14 14 14 13 13 12 11 10 10 10 10 11 11 12 12 12 12 11 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 12 13 13 13 13 12 11 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 11 11 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 13 13 13 13 12 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 12 12 12 12 12 12 12 12 13 13 14 13 12 11 9 8 8 9 9 10 11 11 11 11 10 10 10 10 nan
nan 9 11 14 14 13 12 12 12 13 13 12 12 10 9 9 8 8 9 10 11 13 14 14 14 13 12 11 10 10 9 9 10 10 11 12 12 13 12 12 11 10 10 10 10 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 12 12 13 13 13 11 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 9 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 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 10 10 10 10 11 11 11 12 11 11 11 12 11 11 11 12 13 12 11 10 9 8 8 9 9 10 11 11 11 11 11 11 11 11 nan
nan 9 11 12 12 13 13 13 13 13 13 12 11 10 9 8 8 9 10 11 13 14 15 14 14 12 11 10 10 9 9 10 10 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 10 10 10 11 12 12 11 12 12 13 12 11 10 10 9 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 10 9 9 9 10 10 10 10 10 10 10 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 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 10 10 11 11 12 11 11 10 10 11 11 11 11 11 11 11 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 nan
nan 10 11 11 12 13 14 13 13 12 12 12 11 10 9 9 9 9 11 13 14 14 14 13 12 11 10 9 9 9 9 10 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 11 12 12 12 12 12 11 11 10 10 9 10 11 12 13 12 12 12 13 12 11 10 10 9 8 8 9 9 9 9 9 9 9 10 10 10 10 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 11 11 10 10 10 11 11 11 11 11 12 12 12 12 12 11 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 11 10 10 10 10 10 nan
nan 11 12 12 13 14 14 13 13 12 12 12 11 10 9 9 9 11 12 13 14 14 13 12 11 10 9 9 9 9 10 11 11 12 11 11 11 11 11 11 11 10 11 10 10 10 10 11 12 12 13 13 12 12 11 10 8 7 7 8 10 11 12 12 12 13 13 12 11 11 10 9 8 8 9 9 9 10 9 9 9 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 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 13 13 13 13 13 12 12 11 11 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 nan
nan 12 13 13 14 15 15 14 14 14 14 13 12 11 10 10 10 12 13 13 13 13 12 11 10 9 9 9 9 10 11 11 12 12 11 11 11 11 11 11 10 10 11 11 11 11 11 11 12 12 13 12 12 11 10 9 8 7 6 6 8 9 11 11 12 12 12 12 11 10 10 9 8 8 8 9 9 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 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 12 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 11 12 12 12 11 11 11 10 9 8 9 9 9 9 8 8 9 10 10 10 10 10 10 10 nan
nan 13 13 14 15 16 16 16 16 15 15 14 13 12 11 11 11 12 13 13 13 12 11 10 9 9 9 10 10 11 11 11 12 12 11 11 11 11 11 11 10 10 10 11 11 11 11 12 12 12 12 12 11 11 10 9 8 8 7 7 8 9 10 11 12 12 12 12 11 10 10 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 11 11 10 9 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 10 9 9 9 9 9 8 8 9 10 10 10 10 10 10 10 nan
nan 15 15 15 16 16 16 16 16 16 15 14 13 13 12 12 12 13 13 13 12 11 10 9 9 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 10 10 10 11 11 11 12 12 12 12 12 12 11 10 10 9 9 9 9 9 9 9 10 11 12 12 12 12 11 10 10 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 11 12 10 9 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 11 11 11 11 12 12 12 12 12 11 11 10 10 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 10 10 10 10 10 10 11 11 nan
nan 15 15 15 16 16 16 16 16 16 15 15 14 13 13 13 13 13 13 12 11 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 11 11 11 10 10 10 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 9 9 8 8 9 9 9 10 10 10 10 10 10 10 9 10 10 11 10 10 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 16 16 15 15 15 15 15 15 15 15 14 14 13 13 13 13 13 12 11 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 11 11 11 10 10 10 11 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 10 10 10 11 11 11 10 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 13 12 11 10 10 10 10 10 10 11 12 12 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 nan
nan 15 15 15 15 15 14 14 14 14 14 14 14 14 13 13 12 12 11 10 9 10 10 10 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 10 10 10 11 11 11 12 12 12 12 11 11 11 11 10 10 10 9 9 9 9 10 11 11 11 12 12 11 11 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 12 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 11 11 11 11 10 11 11 11 11 11 11 11 11 12 12 12 12 10 9 9 8 8 9 10 10 11 11 11 10 9 9 9 10 11 11 11 11 11 10 10 10 10 nan
nan 15 14 14 14 14 14 14 14 14 14 14 14 13 13 12 11 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 11 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 8 7 6 7 8 9 10 10 11 10 9 8 7 8 8 9 10 10 10 9 9 9 9 9 nan
nan 14 14 14 14 14 14 14 14 14 14 13 13 12 11 11 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 11 11 11 12 12 12 12 12 11 11 10 10 9 9 8 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 14 14 13 13 13 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 8 7 6 6 7 8 9 9 10 10 9 9 8 7 7 7 8 8 9 8 8 8 8 8 9 nan
nan 14 14 14 14 14 14 14 14 13 13 12 11 11 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 13 13 13 13 13 13 13 13 14 14 14 13 13 13 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 11 11 11 10 10 9 9 8 7 7 7 8 9 10 10 9 9 8 8 8 8 8 7 8 8 8 7 7 8 8 8 9 nan
nan 13 14 14 14 14 13 13 13 12 11 11 10 10 10 10 10 10 11 11 12 13 13 13 13 12 12 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 10 10 11 11 11 11 11 11 11 10 10 9 10 10 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 9 9 9 9 10 10 10 10 11 13 14 15 14 14 13 13 13 13 13 13 13 13 13 12 12 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 8 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 nan
nan 13 13 13 13 13 12 12 12 11 10 10 10 10 10 10 11 11 12 12 13 13 13 13 13 12 12 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 9 8 8 8 9 10 10 10 10 11 13 14 16 16 15 14 13 13 13 13 13 13 13 13 12 12 11 10 9 9 9 10 10 10 11 11 12 12 12 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 9 8 8 8 8 8 7 7 7 7 8 9 9 10 9 9 10 nan
nan 13 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 9 9 9 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 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 11 11 11 11 12 12 12 12 12 12 12 11 11 10 9 9 9 8 9 9 10 10 11 12 13 15 16 17 16 15 13 13 12 12 12 13 13 12 12 11 10 9 8 7 8 8 9 9 10 11 12 12 13 13 13 13 13 13 12 11 11 10 10 11 11 10 10 10 10 10 10 10 10 11 11 11 10 9 8 8 8 8 8 8 7 6 6 6 7 8 9 10 11 11 11 nan
nan 12 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 9 9 9 9 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 11 11 12 11 11 11 11 10 9 8 7 8 9 10 11 12 13 15 17 17 17 15 14 13 12 12 12 12 12 12 12 11 9 7 5 4 5 5 6 8 10 11 12 12 13 14 14 14 14 13 13 12 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 10 9 8 8 8 8 8 8 8 7 6 6 6 7 7 8 10 11 11 11 nan
nan 11 11 10 10 10 10 10 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 11 11 11 10 10 10 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 11 9 8 7 7 9 10 11 11 12 14 16 17 16 15 14 12 12 12 12 12 11 11 10 9 6 4 2 2 3 5 7 10 12 14 15 14 14 14 13 13 14 14 14 13 13 12 11 11 10 10 10 10 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 10 10 11 11 nan
nan 12 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 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 10 10 9 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 11 11 10 10 11 12 13 13 13 12 11 10 8 7 8 9 10 10 10 10 12 14 15 15 14 13 12 12 12 11 10 10 9 9 6 3 1 1 3 5 8 12 14 16 17 17 16 14 13 12 12 13 14 14 14 13 12 12 11 10 10 10 9 9 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 11 nan
nan 13 12 12 12 12 12 13 13 13 13 13 13 13 13 14 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 10 10 10 11 11 12 12 13 13 13 13 13 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 11 10 10 10 12 13 14 14 13 12 11 10 9 8 9 10 10 10 8 9 11 12 13 14 14 13 13 12 12 10 9 9 8 7 5 2 1 2 6 9 12 15 16 18 18 17 14 12 11 11 13 14 15 15 14 13 12 12 12 11 10 10 9 9 9 10 10 11 10 9 8 7 7 8 8 9 8 8 8 8 9 10 10 10 10 10 10 10 11 11 nan
nan 13 13 13 13 13 13 13 13 13 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 10 10 10 11 12 12 13 13 13 13 13 13 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 13 12 12 12 12 12 13 13 13 13 13 12 12 11 11 11 11 12 13 13 13 12 12 11 11 10 9 9 10 9 9 8 9 10 11 12 13 13 13 13 13 12 11 10 9 9 7 5 3 4 6 9 12 14 15 17 18 18 16 14 12 12 13 15 16 15 14 13 13 12 12 12 11 10 10 9 10 11 12 12 12 11 9 8 8 8 9 9 9 8 8 8 9 10 11 11 11 11 10 10 11 11 13 nan
nan 13 13 13 13 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 10 9 9 9 9 9 9 9 9 10 10 11 12 12 13 13 13 13 13 13 12 12 11 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 11 11 11 10 10 10 10 9 8 9 10 11 11 11 12 12 13 13 13 12 11 10 9 9 8 6 5 6 7 9 11 13 15 16 18 19 18 17 15 14 15 16 16 15 14 13 12 12 12 12 11 10 10 10 11 12 13 13 13 12 11 10 10 10 10 10 10 10 9 8 8 9 11 12 13 12 11 10 10 11 12 13 nan
nan 13 13 13 12 12 12 12 12 12 12 12 13 13 13 13 14 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 10 10 10 11 12 12 13 13 13 13 13 12 12 11 10 10 9 9 10 10 10 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 11 11 12 12 12 12 12 12 13 12 12 11 10 9 9 10 10 11 10 9 8 10 11 12 13 12 12 12 13 13 12 11 9 8 7 6 6 6 7 8 10 12 13 14 16 17 19 20 19 18 17 17 17 17 15 14 13 12 12 12 11 11 10 10 10 11 12 13 13 13 13 13 12 12 12 12 12 12 12 11 10 9 9 10 12 13 14 13 12 11 10 10 11 13 nan
nan 13 13 12 12 12 12 12 12 12 12 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 10 10 10 9 9 9 9 9 10 10 10 11 11 12 12 13 13 13 13 12 11 11 10 9 9 9 9 10 10 11 11 11 11 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 12 12 12 13 13 12 12 11 9 8 8 9 10 11 11 10 10 11 12 14 14 13 13 13 13 12 11 8 6 5 5 5 6 8 10 12 13 13 14 15 16 18 18 18 18 17 17 18 18 18 17 15 14 14 13 12 11 11 10 10 9 10 10 11 12 13 13 14 14 15 14 14 13 13 13 12 12 11 11 11 13 14 15 14 13 11 11 11 11 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
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28 27 24 27 31 32 29 26 23 20 17 13 10 8 7 5 5 6 7 6 7 6 5 5 4 1 2 3 7 12 18 24 30 36 41 46 51 55 57 55 58 64 72 83 94 106 120 138 156 176 188 192 190 183 180 175 168 157 144 142 143 142 139 133 126 113 95 68 31 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 28 56 83 103 112 110 104 93 79 63 51 54 58 61 60 53 43 35 32 33 29 29 28 28 32 32 27 17 4 2 0 0 0 0 0 0 0 3 10 24 27 25 23 24 31 47 60 66 76 95 116 127 121 121 102 78 52 22 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 7 23 38 51 60 68 67 65 60 54 48 40 35 32 30
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35 35 32 30 30 29 25 25 25 25 26 28 31 35 38 37 32 27 22 18 15 14 14 16 17 19 22 25 29 35 41 45 46 45 44 45 44 43 43 44 44 45 49 56 62 72 88 107 122 126 127 128 131 138 147 151 155 159 159 156 151 146 140 137 134 132 128 122 108 67 25 0 0 0 0 0 0 0 0 0 0 0 0 1 4 13 34 64 81 79 66 70 76 78 77 76 80 91 101 103 98 96 92 92 93 57 26 8 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 17 22 22 22 21 23 30 47 79 100 105 97 88 90 92 91 85 85 97 107 105 102 103 108 115 121 123 108 94 85 74 96 106 101 89 83 90 74 41 9 3 2 4 12 27 44 55 59 59 63 66 72 77 71 67 63 60 57 55 53 47
30 29 29 29 30 30 28 28 28 29 30 32 35 39 42 39 33 29 25 23 20 20 21 22 23 26 29 32 36 41 46 46 42 34 26 22 21 20 22 25 26 28 33 41 53 65 79 94 106 109 111 114 121 129 136 142 147 152 155 153 149 144 140 137 133 131 130 125 112 81 40 0 0 0 0 0 0 0 0 0 0 0 0 2 7 21 52 71 64 39 9 9 20 33 46 56 72 91 104 109 104 95 90 99 122 76 34 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 15 23 24 23 20 18 17 22 35 46 54 57 40 34 33 32 33 41 61 86 90 88 91 100 110 113 112 107 101 98 96 95 92 87 80 79 89 95 81 44 24 15 20 38 51 60 66 67 68 71 70 67 68 69 67 62 60 61 61 59 52
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39 38 37 38 40 42 45 46 47 49 52 50 49 48 46 44 41 38 35 32 30 28 29 31 36 42 48 51 52 51 50 42 28 10 2 1 3 8 15 22 28 35 44 54 63 76 88 93 97 100 101 105 115 126 136 141 142 140 149 152 151 148 143 138 134 129 125 119 109 95 70 15 3 0 0 0 0 0 0 0 0 0 0 4 13 28 31 25 13 2 0 0 0 0 0 1 19 40 58 74 80 80 80 89 93 80 61 39 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 17 23 23 21 18 13 12 10 7 4 2 1 0 0 1 1 3 4 5 8 13 20 44 90 112 116 113 109 104 95 84 73 65 60 54 54 61 69 57 47 47 55 66 73 72 68 67 67 65 63 62 53 47 51 59 61 63 63 60 57 55
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35 41 44 45 46 45 49 56 62 67 70 72 72 73 73 71 63 54 45 38 35 39 47 59 71 73 74 73 71 70 71 72 72 74 63 57 56 59 66 72 80 89 96 102 106 108 110 114 118 124 132 140 148 155 162 170 180 184 171 152 142 129 120 114 109 98 87 57 27 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 10 10 9 8 9 10 11 13 13 13 10 6 2 0 1 2 2 2 2 2 3 3 2 2 2 2 2 3 2 3 2 1 0 0 0 0 0 0 0 0 0 1 1 2 6 23 47 66 75 70 56 47 45 47 54 65 60 50 39 26 14 7 5 7 8 10 12 14 15 17 18 17 16 17 20 23 28 34 41 47 52 62 66 65 61 60 59 61 65 63
41 46 50 54 56 53 58 63 65 65 65 73 77 78 79 79 78 74 66 51 46 52 64 77 82 80 78 77 74 73 73 74 76 81 76 72 70 71 78 82 87 93 98 102 107 113 118 122 125 128 132 136 142 146 151 156 163 162 150 132 121 109 99 92 87 77 67 53 37 21 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 6 7 11 13 14 13 13 8 4 2 1 1 2 2 3 4 4 4 3 3 4 4 4 2 3 3 1 0 0 0 0 0 0 0 0 0 0 1 3 7 18 37 63 65 54 40 29 30 40 53 66 65 57 48 39 31 19 11 7 7 8 8 8 8 9 12 14 14 13 13 14 15 17 21 27 32 37 43 53 58 59 58 58 58 59 60 54
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52 56 59 60 62 66 72 76 80 83 85 85 87 89 91 92 91 89 87 85 87 91 94 97 95 94 92 90 87 83 81 83 88 97 107 116 125 136 133 123 113 104 97 95 98 105 113 119 118 115 111 112 113 115 117 116 116 111 104 95 86 74 60 48 38 32 28 25 23 22 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 12 14 15 15 14 13 11 8 4 2 3 3 5 6 7 7 7 7 6 7 7 6 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 4 20 39 53 42 25 11 3 4 17 35 52 58 52 45 40 38 36 31 27 25 26 25 18 10 4 2 4 7 9 10 11 11 12 13 16 18 20 21 25 27 29 31 32 34 37 38 38 34 31
60 61 63 64 66 69 74 77 77 76 81 85 88 91 93 95 95 94 93 92 93 95 98 100 101 101 101 100 97 89 87 89 93 101 114 131 151 168 159 143 128 118 107 102 101 103 107 111 112 111 108 103 101 100 99 95 90 89 87 83 76 63 49 37 27 19 15 14 15 14 10 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 14 18 19 18 15 8 6 4 3 2 3 4 4 6 7 7 7 7 7 7 6 6 6 5 3 1 0 0 0 0 0 0 0 0 1 3 9 15 8 5 12 14 10 5 2 2 15 31 39 34 35 34 35 38 43 43 39 35 34 39 41 32 15 3 1 3 6 8 8 8 9 12 14 16 16 16 14 18 22 25 25 24 26 27 28 29 27 26
60 60 65 64 61 59 63 67 68 69 72 77 83 88 93 97 98 99 99 98 96 97 99 101 103 105 107 108 105 98 96 97 100 106 116 136 160 169 162 150 139 133 125 116 109 106 108 109 109 108 104 101 98 95 91 88 86 85 83 78 69 55 41 29 19 12 9 8 6 5 4 3 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 13 16 14 13 11 8 2 1 2 3 3 4 5 5 6 7 7 6 6 6 6 5 5 4 5 4 2 0 0 0 0 0 0 0 0 2 8 16 14 6 1 0 0 0 1 4 16 35 46 43 29 28 31 37 41 46 49 48 45 42 47 44 34 19 6 3 5 7 9 8 7 7 10 12 13 14 13 13 16 19 21 21 20 20 20 21 23 23 21
44 51 54 50 44 42 50 58 62 63 64 68 74 83 92 99 104 106 106 105 104 106 108 107 107 108 110 111 111 108 107 107 110 116 120 128 139 147 147 142 136 130 123 117 114 113 114 113 110 107 105 104 102 98 92 86 84 83 82 76 63 49 35 24 16 10 7 5 3 1 0 1 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 12 14 12 8 5 3 2 1 1 1 2 3 4 5 5 5 4 4 3 3 4 3 4 4 4 4 3 3 2 0 0 0 0 0 0 0 1 4 9 13 6 1 0 0 0 1 5 18 39 50 50 45 41 41 44 46 42 46 50 53 52 55 55 50 42 32 21 14 11 10 10 9 8 7 7 8 9 10 11 12 13 15 14 14 15 15 16 16 18 18 18
28 30 28 28 30 37 49 55 56 55 54 56 62 72 85 96 105 111 114 116 117 118 118 116 113 113 114 114 115 115 116 118 120 125 128 131 135 138 138 134 129 124 119 117 118 121 118 116 112 109 107 106 104 100 94 88 84 82 80 73 59 44 30 19 12 8 5 2 1 0 0 1 3 3 1 0 1 0 1 2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 1 10 11 7 2 1 1 1 1 1 0 0 1 2 3 3 2 2 1 1 1 2 2 2 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 5 18 39 47 48 49 55 53 52 53 50 42 44 51 59 59 59 57 53 48 39 29 20 14 11 9 8 8 7 6 5 6 7 8 9 9 10 9 10 11 12 13 13 14 15 15
23 23 26 31 38 44 51 51 50 46 42 40 44 53 68 84 99 110 118 124 125 126 126 125 118 117 116 114 114 117 120 124 129 135 141 147 151 148 143 137 132 126 122 119 117 117 119 118 115 111 109 108 106 103 98 92 85 80 77 67 55 42 29 17 10 6 2 0 0 0 1 3 5 5 3 1 2 1 3 5 6 1 0 0 0 0 0 0 0 0 0 0 0 0 2 7 7 5 3 3 2 2 1 1 0 0 2 4 4 2 1 1 2 2 2 2 2 2 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 19 43 54 51 50 62 61 62 63 60 45 40 44 54 62 58 56 55 52 46 36 27 19 12 9 8 7 6 6 5 5 6 6 7 7 8 9 9 9 10 10 12 12 12 12 11
24 27 32 38 44 46 48 47 44 39 33 30 32 39 53 72 89 103 115 124 128 131 132 132 126 124 122 120 120 122 124 128 137 147 158 165 167 160 153 145 137 130 126 123 123 123 122 120 116 112 110 109 108 106 102 95 88 81 74 64 52 41 30 19 11 6 2 0 1 2 3 4 3 1 0 0 1 1 1 1 1 0 0 1 2 4 2 1 1 0 0 1 2 4 6 8 8 8 10 9 7 6 6 7 7 7 7 5 3 2 2 2 2 1 1 1 1 1 1 1 2 1 1 0 0 0 1 2 3 2 1 0 0 0 0 0 0 0 0 3 13 31 50 51 46 42 44 48 57 63 56 50 50 52 56 59 57 55 53 50 44 37 28 19 12 10 10 9 8 7 6 5 5 6 7 8 8 9 9 9 11 11 11 10 9 8 6
31 36 40 42 43 42 42 41 40 36 31 30 31 37 46 61 77 94 109 120 127 133 137 140 141 138 134 130 131 131 133 138 145 157 171 179 176 167 159 150 142 133 129 128 127 126 124 120 115 112 110 109 109 107 104 98 91 84 76 65 54 43 33 21 11 5 1 2 4 5 5 3 1 0 0 0 0 0 0 0 0 0 1 1 3 7 14 16 11 6 11 12 11 11 13 16 19 24 29 29 27 23 17 12 8 7 5 2 1 0 1 1 0 0 0 0 0 0 0 0 2 1 1 1 1 2 4 5 4 2 1 0 0 0 0 0 0 0 1 4 11 23 27 36 47 52 57 55 55 60 59 55 48 43 51 54 55 55 54 49 42 34 27 18 14 12 12 12 9 8 6 6 6 6 7 7 8 8 8 9 9 9 8 6 4 3 3
39 41 41 39 38 38 40 42 41 39 35 34 36 39 44 50 64 83 103 118 126 132 137 141 145 145 144 143 145 145 145 146 150 160 177 187 176 166 157 150 144 139 137 135 133 129 125 120 116 112 110 109 108 108 105 99 93 86 76 65 53 43 35 24 12 4 0 2 4 5 4 1 0 0 0 0 0 0 0 0 0 1 2 3 3 10 20 28 27 15 18 19 17 18 21 27 34 39 41 39 33 23 17 10 5 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 1 3 7 23 43 60 72 84 81 71 65 61 55 50 49 51 51 50 50 52 47 37 27 23 17 13 12 12 13 12 10 8 7 7 7 7 8 7 7 7 8 8 6 5 4 3 4 4
41 40 36 34 35 38 41 43 43 41 39 38 39 42 45 47 58 75 93 103 106 112 121 129 136 141 143 143 145 146 147 146 147 160 175 181 170 158 152 151 152 153 152 150 145 137 130 123 117 112 109 108 106 105 101 96 88 79 69 58 48 41 36 28 16 6 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 1 6 11 7 11 15 17 15 9 12 18 21 24 27 29 33 34 36 37 34 25 19 12 6 3 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 21 47 72 74 72 64 54 46 46 47 46 43 43 42 40 42 41 34 25 16 13 11 10 9 10 12 12 12 11 10 9 9 8 7 6 6 7 7 6 5 4 4 4 5 6
38 35 33 33 35 37 39 41 43 42 38 37 39 43 45 51 64 79 90 90 92 101 114 121 125 129 131 131 131 132 134 138 145 159 169 169 160 151 154 165 176 173 167 160 154 146 138 129 120 112 107 104 103 101 94 85 71 57 52 46 41 37 36 33 24 15 10 6 4 2 0 0 0 0 0 0 0 0 0 0 0 1 6 15 10 9 10 11 5 7 13 20 25 25 19 14 12 16 23 29 32 26 17 10 5 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 34 59 74 65 51 38 26 21 29 41 47 50 48 41 33 33 28 22 15 9 5 3 2 2 4 7 10 13 11 10 10 9 9 8 6 6 6 6 5 4 4 5 6 7 8
33 32 33 33 33 34 35 38 39 37 35 36 43 54 67 83 99 111 117 107 107 112 118 118 116 117 119 119 117 115 115 117 118 126 135 140 139 137 151 172 183 176 168 161 155 145 136 128 121 111 104 101 100 98 92 79 59 35 35 32 30 29 30 29 26 21 16 10 6 2 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 7 5 4 8 13 19 23 19 11 4 2 5 13 23 31 27 18 10 5 4 3 3 2 1 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 4 15 33 58 64 53 34 17 14 24 41 59 71 77 72 61 51 41 29 18 12 6 2 0 0 0 1 3 6 12 11 10 9 9 9 8 7 6 5 5 4 4 4 5 7 8 9
34 34 34 34 33 33 37 40 41 40 39 43 61 93 134 155 157 152 149 135 128 121 110 95 89 94 102 106 107 106 105 107 107 110 114 120 130 129 138 148 136 116 125 136 118 94 83 86 97 99 97 97 97 96 90 79 61 38 27 21 18 16 17 17 17 15 13 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 5 1 1 3 7 13 16 10 4 1 1 2 14 30 39 32 19 8 5 3 2 2 2 1 1 0 0 0 1 1 0 0 1 1 2 3 2 1 0 2 6 8 7 5 2 0 0 0 0 0 0 0 0 0 2 6 14 30 31 23 11 3 12 31 55 75 82 83 80 76 70 47 24 16 9 4 1 0 0 0 0 1 1 6 8 9 9 10 9 8 7 6 5 4 5 4 5 6 8 8 9
40 40 39 38 37 36 39 41 43 44 46 50 69 100 137 163 169 166 161 148 135 119 99 78 68 67 73 86 99 101 94 86 81 83 98 124 121 118 121 125 103 66 47 38 25 15 15 22 34 61 75 83 86 84 79 69 54 34 21 13 8 4 5 5 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 5 2 0 0 0 3 16 36 41 32 22 15 10 6 3 2 3 3 2 2 1 1 2 2 2 3 3 4 4 3 2 1 0 2 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 1 3 7 7 4 1 0 7 16 24 33 48 58 64 70 75 61 35 19 9 3 0 0 0 0 0 0 0 2 3 5 7 8 8 7 6 5 4 4 4 5 6 8 9 9 10
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49 50 47 45 44 43 42 42 43 45 45 45 45 48 54 67 84 101 115 115 109 102 98 96 88 77 65 53 52 48 45 52 56 52 44 33 20 15 18 30 54 47 27 6 0 0 0 0 0 0 0 1 0 0 4 8 10 9 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 20 42 56 49 37 32 30 29 23 14 7 6 7 8 8 7 8 7 7 6 7 6 5 5 4 4 3 2 2 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 17 36 52 59 52 28 12 4 0 0 0 0 0 0 0 0 0 2 4 6 7 6 5 5 4 5 5 6 7 9 10 10 10
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22 24 29 37 45 49 50 52 53 52 48 44 40 39 39 40 49 65 84 133 188 222 197 149 117 99 93 85 73 58 43 34 30 28 28 28 29 30 33 38 42 56 69 51 38 39 41 15 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 13 3 1 1 3 11 35 46 47 40 29 18 11 8 7 7 7 7 6 8 9 9 7 7 7 6 5 4 4 4 2 1 1 1 0 0 2 4 7 7 13 21 25 26 24 18 7 2 1 1 1 2 1 1 0 0 0 0 1 0 0 2 6 13 24 33 39 42 42 40 39 38 42 41 31 15 5 2 3 4 1 0 0 0 0 2 6 11 10 9 8 9 9 8 7 6 7 8 9 10
19 21 25 31 36 40 44 53 59 58 51 45 41 39 38 36 37 42 54 76 99 115 103 89 82 79 77 68 56 43 33 29 28 29 30 30 30 31 31 32 31 34 42 55 79 98 100 69 42 18 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 13 19 8 2 0 0 1 26 38 38 30 19 13 12 10 9 7 7 6 6 6 7 7 6 6 6 6 5 4 3 3 2 1 1 0 0 0 1 2 5 6 10 17 24 28 26 21 11 4 1 1 1 2 3 2 1 1 0 0 1 0 0 0 1 6 15 23 29 31 30 28 26 27 27 22 12 6 3 4 8 12 7 2 0 0 1 2 6 9 10 9 6 8 9 9 9 7 7 7 8 9
19 23 22 20 17 13 15 33 47 51 47 43 40 39 37 35 33 31 31 33 35 38 39 41 44 48 48 43 36 31 28 27 28 28 29 29 29 29 29 30 30 31 34 44 64 87 104 95 71 44 17 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 14 31 42 33 21 19 22 11 18 26 30 23 17 14 13 12 11 10 8 7 6 5 5 5 5 5 5 5 5 4 3 2 2 2 2 1 1 1 1 0 2 3 5 9 16 19 19 17 10 5 2 3 4 5 4 3 3 3 3 4 4 2 1 1 1 2 6 12 16 18 19 19 18 20 20 16 2 0 2 6 14 15 10 4 1 0 1 2 6 8 8 7 6 7 7 8 9 8 7 8 9 9
28 34 34 29 19 7 3 13 25 35 42 43 42 40 38 35 32 29 25 17 14 13 14 16 19 21 23 23 23 24 25 26 27 27 27 27 27 25 25 27 31 35 40 45 58 72 81 75 59 39 19 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 15 40 59 62 52 46 44 43 33 31 29 23 19 15 13 12 12 11 10 8 7 5 5 4 4 4 4 4 3 3 2 2 2 2 3 3 3 3 3 3 1 1 1 3 6 10 12 11 7 3 1 1 2 3 4 4 4 5 6 6 7 7 6 4 2 1 0 1 3 4 6 7 8 9 12 14 17 7 2 1 3 9 11 10 7 3 1 2 4 7 8 7 6 6 6 8 9 9 8 8 8 9 9
40 45 49 44 33 20 21 25 32 41 47 47 45 42 40 38 35 31 26 18 12 9 8 8 8 10 12 15 19 22 23 24 24 24 24 23 22 22 23 27 33 40 48 59 64 65 60 50 37 23 11 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 37 52 53 47 46 44 41 38 32 25 20 18 15 12 11 10 10 9 7 7 6 5 4 3 3 3 3 3 2 2 2 2 1 2 2 2 1 0 1 3 1 0 0 1 3 4 5 4 1 0 0 1 2 3 3 4 5 6 7 8 8 8 7 6 4 2 1 0 0 0 0 1 1 3 4 5 9 6 4 2 2 4 5 6 3 2 2 4 6 7 7 6 6 6 7 8 10 10 9 8 7 7 7
43 44 44 43 44 46 53 58 60 60 55 50 47 45 42 38 33 28 21 15 10 7 5 4 6 8 11 14 18 21 22 22 22 22 21 20 19 21 23 29 38 48 57 64 66 60 49 35 21 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 34 49 52 48 45 46 45 42 35 27 20 16 14 12 9 8 7 7 6 5 5 4 3 2 1 1 1 2 1 1 1 1 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 3 3 4 4 5 7 8 8 9 9 9 8 7 5 3 2 2 2 2 2 1 0 0 1 2 2 2 2 1 1 3 4 4 4 4 6 6 6 6 6 6 6 6 8 9 9 9 8 7 7 7
43 37 31 31 37 47 54 59 60 59 56 51 47 44 40 34 28 21 16 11 8 5 2 2 5 8 11 15 19 22 21 21 21 21 19 18 18 19 23 31 42 53 61 63 58 48 33 20 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 8 27 42 44 45 48 46 45 44 41 34 25 18 14 12 11 9 8 6 5 4 4 3 1 0 1 1 1 1 1 1 1 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 5 6 7 8 9 9 9 9 9 9 9 8 7 7 7 7 7 5 2 0 0 0 0 0 0 0 0 0 1 4 5 4 4 3 2 2 4 6 6 6 5 6 7 7 9 8 8 7 5
42 35 27 22 24 35 43 48 51 51 49 46 42 38 35 31 25 18 13 10 7 6 5 6 8 10 13 17 19 19 18 19 19 18 16 16 17 21 26 35 44 52 57 54 46 34 20 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 8 31 39 42 43 46 39 36 35 36 31 23 16 13 11 9 8 8 5 4 3 2 1 0 0 0 1 1 2 2 2 2 2 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 4 5 7 9 10 10 10 10 9 10 10 9 8 7 7 7 7 7 7 5 2 2 1 0 0 0 0 0 0 3 7 8 7 2 1 1 1 4 5 6 7 5 4 4 7 7 7 6 5 7
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49 42 35 29 27 29 40 52 55 45 42 42 42 42 37 29 22 16 12 7 4 4 5 6 8 11 14 15 16 17 18 18 19 19 18 19 20 24 31 36 41 43 41 34 24 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 12 17 17 11 5 2 0 0 1 2 1 1 0 0 0 5 18 36 37 29 23 21 18 17 18 21 25 22 17 11 7 6 5 3 2 2 2 1 1 0 0 0 0 2 4 6 7 5 3 3 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 4 4 6 7 8 9 9 9 8 7 5 5 6 6 7 7 7 7 6 5 3 1 0 0 0 0 0 2 6 11 16 11 6 4 1 1 2 6 9 9 9 8 7 6 5 3 7 11
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33 32 24 23 29 40 13 20 34 41 46 46 43 36 29 24 18 13 7 4 5 6 7 9 11 13 15 15 14 13 12 10 10 9 10 11 12 13 15 17 20 25 23 17 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 8 11 12 11 7 7 10 14 13 14 18 27 32 35 35 34 37 37 36 31 29 27 25 23 18 12 8 7 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 4 5 5 5 5 6 7 8 8 8 6 5 4 4 6 6 6 6 5 4 4 4 2 1 1 0 0 0 0 1 3 4 5 3 1 0 0 1 3 5 7 8 8 7 6 6 7 10 13
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