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 6 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 6 7 7 8 8 7 7 7 7 7 7 6 6 7 8 8 8 6 6 6 6 6 6 7 6 5 5 6 7 8 8 8 7 6 6 6 7 8 9 10 9 8 7 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 5 5 5 6 6 7 7 8 9 10 11 11 10 8 7 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 7 7 7 6 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 6 5 5 5 5 5 6 6 6 nan
nan 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 7 7 6 7 8 9 8 7 7 6 6 6 7 7 7 6 6 7 8 9 9 8 7 6 5 4 5 6 8 8 9 8 7 7 6 6 6 6 7 8 9 8 8 7 6 6 6 6 6 7 7 7 7 7 6 6 5 6 6 7 7 7 7 8 9 11 12 12 10 9 7 6 6 6 7 7 6 6 6 6 6 6 7 7 7 7 7 7 6 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 6 6 5 5 5 5 6 6 6 nan
nan 6 6 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 9 9 9 9 8 8 7 8 8 8 8 7 7 8 9 9 9 8 8 6 5 4 4 5 6 7 8 8 8 7 6 6 6 6 7 8 9 10 10 9 7 6 6 6 6 7 7 7 7 7 7 6 6 7 7 7 7 7 8 8 8 10 11 12 12 11 9 8 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 nan
nan 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 7 6 7 8 8 8 8 8 9 9 10 10 10 9 8 8 9 9 9 8 8 8 9 9 10 10 9 8 7 6 5 5 5 5 7 8 8 8 7 7 7 7 7 7 8 8 9 10 9 8 6 6 6 6 6 7 7 7 7 7 7 7 7 8 7 7 7 8 8 8 9 10 11 12 12 11 9 8 7 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 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 6 6 6 nan
nan 6 6 6 7 6 6 6 7 7 7 7 7 7 7 8 8 8 8 9 9 7 6 6 7 8 9 9 10 10 10 10 11 11 11 10 9 9 9 10 9 9 9 9 9 10 10 10 10 9 8 7 6 6 6 6 7 8 8 7 7 7 7 8 8 8 7 7 8 9 9 8 7 6 6 6 6 6 6 6 6 7 6 7 7 8 8 8 8 8 8 9 9 10 10 12 13 12 11 9 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 6 6 nan
nan 6 6 6 7 6 6 6 7 7 7 7 7 7 7 7 7 8 9 9 8 7 7 7 8 9 9 10 10 11 11 11 11 12 12 11 10 10 10 11 11 11 11 10 10 10 11 11 10 9 9 8 7 6 7 8 8 8 8 7 7 8 8 8 8 7 7 7 8 9 9 8 7 7 6 6 5 5 5 6 7 7 6 7 7 8 9 9 9 8 8 9 9 10 10 11 12 12 12 11 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 5 5 5 4 4 4 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 6 6 nan
nan 6 5 6 7 7 7 7 7 7 7 7 7 6 6 6 6 8 9 9 8 8 7 8 9 10 10 10 10 10 10 10 10 11 11 10 10 10 11 12 12 11 10 10 9 9 10 11 10 10 10 9 7 6 6 7 8 8 8 7 7 8 9 8 8 7 7 7 8 9 9 8 8 7 7 6 6 5 6 6 7 7 7 7 7 8 9 10 10 10 9 9 10 10 10 10 10 11 12 12 11 10 8 7 7 7 7 7 7 8 8 9 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 nan
nan 8 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 7 9 9 9 8 8 9 10 10 10 9 8 8 7 7 8 8 8 8 8 9 10 10 10 10 9 7 7 7 8 10 10 10 10 9 8 6 5 6 8 8 8 7 7 8 9 9 8 8 7 7 8 9 9 8 8 8 7 7 7 6 6 7 7 7 7 7 7 8 8 9 10 11 11 11 10 10 9 9 9 10 12 13 13 11 10 8 7 7 6 6 7 7 8 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 nan
nan 9 8 6 6 6 7 7 7 7 8 7 7 7 7 7 7 7 8 8 8 8 8 9 10 10 8 7 6 6 6 6 7 6 6 6 6 7 7 8 8 8 7 6 5 5 6 8 8 8 7 7 8 8 7 8 8 9 8 7 7 8 9 9 9 10 9 8 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 10 10 10 10 9 8 8 9 10 11 12 13 13 12 10 9 8 7 6 6 6 7 8 9 9 10 10 9 8 8 7 7 7 7 7 8 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 nan
nan 10 9 7 5 5 6 7 8 8 8 7 7 7 7 8 7 7 7 7 7 8 8 9 9 8 7 6 6 6 7 7 7 7 6 5 6 6 7 7 7 7 6 6 5 4 5 6 6 6 6 6 7 8 9 9 9 9 9 8 7 8 8 9 10 11 11 9 7 7 7 8 9 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 8 8 8 8 8 8 9 10 11 13 14 14 13 11 10 8 7 6 6 7 7 8 9 10 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 nan
nan 8 8 7 6 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 6 6 7 7 7 7 7 7 6 5 6 7 7 7 8 8 7 7 6 6 6 6 6 5 5 6 7 8 8 8 9 9 9 9 8 7 7 8 9 10 10 10 8 7 7 8 9 9 9 8 8 7 7 7 8 8 7 6 7 7 8 8 8 8 8 7 6 7 8 8 9 9 9 10 12 14 15 15 14 13 11 9 8 7 6 6 6 8 9 11 11 11 10 9 9 8 8 8 8 8 8 9 9 9 8 8 8 7 7 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 6 6 7 7 7 7 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 7 6 6 6 6 7 7 8 8 8 8 7 7 7 7 7 6 6 6 7 7 7 7 7 8 8 8 7 7 7 8 9 9 10 9 8 8 7 8 9 9 9 8 8 8 7 8 8 8 6 6 7 7 7 8 8 8 8 7 7 7 8 9 9 9 9 9 11 13 14 15 16 16 15 13 11 9 8 6 6 6 8 10 11 12 12 11 10 9 9 8 8 8 9 9 10 9 9 9 8 8 7 7 7 7 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 6 6 6 7 7 8 8 7 6 6 7 7 7 7 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 6 6 6 7 7 7 8 8 8 8 7 7 7 8 9 10 10 10 10 11 12 13 14 16 16 16 15 13 11 10 7 6 6 7 9 12 14 13 12 11 10 9 9 9 9 10 11 11 11 10 10 9 9 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 nan
nan 5 6 6 6 6 7 7 8 8 8 7 7 7 8 8 9 9 8 6 5 5 6 7 8 8 8 7 8 8 8 8 8 8 8 8 7 6 5 5 5 6 7 7 7 8 8 8 8 8 8 9 8 8 7 7 7 7 8 9 9 9 9 9 9 8 8 8 8 9 9 8 8 7 8 8 8 7 8 8 9 8 7 6 6 6 6 7 7 7 7 7 7 7 7 8 9 10 10 10 10 9 9 10 12 13 15 16 16 16 15 14 12 9 7 6 7 10 13 14 14 13 12 11 10 10 10 11 12 13 13 13 12 12 11 10 9 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 nan
nan 5 5 6 6 6 7 7 7 8 8 8 8 8 8 9 10 9 8 6 5 5 6 7 7 8 8 7 7 7 8 8 8 8 8 8 7 7 5 4 4 5 6 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 10 9 9 8 8 8 8 8 9 9 8 7 7 8 8 8 7 7 8 9 8 7 7 6 7 7 7 7 6 7 7 7 7 7 7 8 9 10 10 9 8 8 9 10 11 12 13 14 15 16 16 15 13 10 7 6 7 10 12 14 14 14 12 12 11 11 13 13 14 14 15 14 14 13 12 10 10 9 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 nan
nan 5 5 6 6 7 7 7 7 7 8 8 9 9 9 10 10 9 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 7 7 6 5 5 6 7 7 7 7 7 8 8 8 8 7 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 7 6 6 6 7 7 7 7 7 8 8 9 9 9 8 8 9 9 9 10 10 11 12 14 15 16 16 14 11 7 6 7 10 13 15 15 15 13 12 12 13 13 13 13 14 14 14 14 13 12 11 10 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 6 7 7 6 nan
nan 6 5 6 6 7 7 7 7 7 7 8 8 9 10 10 9 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 6 7 7 7 7 7 6 6 7 7 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 8 8 8 8 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 12 14 15 16 14 10 7 5 7 10 13 15 16 15 14 13 13 12 11 11 10 11 11 11 12 11 11 10 9 8 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 nan
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nan 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 8 9 9 9 9 9 8 7 7 8 9 9 9 9 9 8 7 6 6 6 7 8 9 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 10 10 9 9 8 8 9 10 10 11 11 12 12 12 10 9 9 9 9 9 10 10 10 11 11 12 11 10 7 4 2 5 9 12 13 13 11 10 9 9 9 10 11 11 11 11 11 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 7 7 7 6 6 6 6 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 9 9 8 9 10 11 12 12 12 12 11 11 10 9 8 6 7 8 9 9 10 10 11 11 11 11 11 11 11 10 10 9 9 9 10 11 11 11 10 9 8 9 11 12 14 14 14 12 11 10 10 10 11 11 10 10 10 10 10 9 9 8 8 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 6 5 5 6 6 6 5 5 6 8 8 9 9 9 9 9 9 9 10 10 9 9 10 10 10 10 9 9 9 8 8 9 10 11 11 11 11 11 11 11 11 10 10 9 8 8 8 10 10 10 10 10 10 10 10 10 9 7 6 6 8 8 9 8 9 9 10 10 10 11 12 13 13 12 11 10 10 9 9 9 9 10 10 10 11 11 11 10 9 9 9 9 10 10 11 11 10 8 8 9 10 10 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 nan
nan 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 9 9 8 8 7 7 7 6 6 5 5 4 5 6 8 8 7 8 8 9 9 10 10 10 10 10 9 9 10 9 9 9 9 10 10 10 10 9 9 8 8 9 10 11 12 12 11 11 12 12 11 10 9 9 9 9 9 10 10 9 8 8 8 9 10 10 9 8 7 8 9 9 9 8 8 8 8 8 9 10 11 12 13 13 13 12 10 9 7 7 8 10 10 11 11 11 9 5 3 3 4 5 6 7 8 8 7 5 7 10 11 9 7 6 7 8 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 11 nan
nan 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 9 9 9 8 8 7 7 7 7 7 6 6 6 6 6 7 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 9 10 10 10 11 11 10 10 10 10 10 9 9 9 10 10 11 10 10 9 9 8 9 9 9 10 9 9 9 10 10 10 10 9 8 8 7 6 7 9 10 11 12 12 12 11 10 8 7 7 8 10 11 11 12 12 9 6 4 3 3 3 3 5 6 7 5 5 8 10 10 7 5 6 7 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 9 10 10 11 11 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 7 7 6 7 7 7 7 7 6 6 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 10 9 8 8 9 10 11 11 10 10 10 9 9 9 9 9 9 9 9 10 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 10 10 9 8 7 5 6 6 8 10 11 11 10 9 9 8 8 8 9 10 10 11 12 12 11 9 8 7 6 5 5 7 8 9 8 9 10 11 9 7 7 8 9 10 9 9 8 8 7 6 6 7 8 9 8 7 7 7 8 9 10 11 11 10 nan
nan 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 9 8 6 5 6 6 7 8 8 7 6 6 7 8 9 9 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 11 11 10 8 7 7 8 10 11 11 11 10 10 9 9 9 9 9 10 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 7 6 5 5 8 10 10 9 8 8 9 9 10 10 10 10 10 11 12 11 11 10 10 9 8 9 10 11 11 11 12 13 14 14 12 11 12 12 12 11 11 10 8 7 6 6 7 9 12 11 8 7 6 7 8 9 10 10 10 9 nan
nan 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 7 6 6 7 8 9 9 8 7 7 7 9 9 10 9 9 9 9 9 9 10 9 9 9 10 10 10 9 7 7 7 8 9 9 9 8 9 10 11 10 9 8 7 8 9 10 11 11 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 7 7 8 9 9 9 8 8 9 10 11 12 12 12 11 11 11 11 10 10 9 8 9 10 11 12 12 12 13 14 16 15 14 14 15 15 14 14 13 11 9 8 8 8 10 13 14 11 7 5 6 8 9 9 9 9 8 7 nan
nan 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 7 7 8 9 8 7 7 7 8 9 10 10 10 10 9 9 10 10 10 10 10 10 10 11 11 11 9 7 6 7 8 9 8 7 6 6 8 10 11 11 10 9 8 8 9 10 10 10 10 10 9 9 9 8 8 9 9 10 10 9 8 9 9 9 9 10 10 9 9 8 7 7 8 9 9 9 7 7 8 9 10 9 8 9 9 10 10 9 9 10 10 11 13 14 13 13 12 11 10 9 9 8 7 8 9 10 10 10 11 12 13 13 12 12 12 13 14 14 14 13 12 11 11 11 11 12 14 12 9 6 6 8 10 10 9 8 7 6 6 nan
nan 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 11 12 11 10 9 9 9 9 8 8 8 9 10 10 11 10 9 8 7 6 6 7 7 7 6 6 7 8 9 10 10 10 10 11 11 11 12 13 12 12 11 10 9 9 9 9 9 8 7 7 8 9 9 8 7 5 5 6 9 11 14 13 10 9 8 8 9 9 10 9 9 9 9 9 8 7 7 9 10 10 9 9 9 9 9 10 10 10 9 7 6 6 7 8 9 9 9 8 7 8 9 11 10 8 8 9 11 11 10 10 10 10 12 13 14 15 14 12 10 9 8 8 6 6 7 7 8 8 9 11 12 12 10 9 9 10 10 11 12 12 11 11 13 14 14 13 13 13 12 11 10 10 11 11 10 7 5 4 5 6 nan
nan 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 11 13 16 16 15 13 11 10 9 9 8 8 9 10 10 11 10 9 8 7 7 7 6 6 5 5 6 7 9 11 12 11 11 11 12 12 14 15 16 15 13 11 10 9 8 8 8 8 8 7 7 8 8 9 10 9 7 5 6 7 9 12 15 14 11 9 8 8 8 8 8 8 9 9 10 10 9 8 7 8 10 10 9 9 8 8 8 9 10 10 9 7 5 6 7 8 9 9 9 8 8 8 9 9 8 8 8 10 11 11 10 10 10 11 12 13 14 15 14 12 10 9 8 6 4 4 5 7 8 8 10 12 13 12 10 9 9 9 9 10 10 10 10 11 13 13 13 12 13 14 14 13 11 9 7 7 5 3 2 3 5 7 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 13 17 19 19 17 15 12 11 10 9 8 9 9 10 9 9 8 7 8 8 8 7 6 5 5 6 8 10 12 13 13 12 11 11 11 12 15 18 17 15 12 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 11 13 13 11 9 8 7 7 7 7 7 7 7 8 9 9 8 6 6 8 9 9 8 7 7 7 8 9 10 10 8 6 5 6 7 9 10 10 10 9 8 7 8 8 8 8 8 9 10 10 10 10 10 11 12 13 14 15 14 13 12 11 8 3 2 2 4 7 9 10 11 14 15 13 10 8 8 8 9 10 10 10 10 11 11 11 10 10 11 12 11 8 2 -1 -2 -1 -0 0 2 5 7 8 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 12 16 19 19 17 15 14 12 11 10 10 10 10 9 8 7 7 7 8 9 8 7 6 6 7 9 10 11 12 12 12 11 10 10 9 10 11 14 15 14 12 10 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 11 11 10 9 7 7 7 7 7 6 6 6 6 7 8 8 6 4 5 8 9 8 7 6 6 6 7 9 10 9 8 6 5 6 8 9 10 11 10 9 8 7 8 8 8 8 8 8 8 9 9 9 9 10 11 12 13 13 14 14 13 11 7 2 0 1 5 8 9 10 11 14 14 12 10 8 8 9 10 10 10 10 11 11 10 10 9 9 9 8 5 -1 -6 -7 -5 -1 1 3 5 7 8 8 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 14 18 19 17 15 13 12 11 11 10 9 9 8 7 7 7 7 8 9 8 7 6 7 9 10 12 12 11 11 10 9 8 8 8 8 8 9 11 12 12 11 9 8 8 8 9 10 10 10 10 9 8 8 9 9 9 10 10 10 10 10 11 10 10 9 8 8 8 8 7 6 5 6 7 8 8 7 5 5 7 9 9 8 7 7 6 6 7 8 9 10 9 7 6 7 8 10 10 10 10 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 12 13 13 10 6 2 0 2 6 8 9 10 12 14 14 13 11 9 8 9 10 10 10 10 11 10 10 10 9 9 8 6 0 -5 -7 -5 -1 3 5 6 8 8 9 9 nan
nan 9 9 9 9 9 9 9 9 10 9 9 9 9 9 8 8 8 8 8 8 9 12 17 19 18 15 13 12 11 10 9 8 7 5 5 6 8 9 9 9 8 7 7 8 9 11 12 12 11 10 9 8 7 6 6 6 7 8 9 10 10 11 10 9 8 7 7 8 8 10 10 10 9 9 9 9 9 10 10 11 11 11 10 10 10 9 9 9 10 10 9 8 6 6 7 9 10 10 7 6 7 8 9 9 8 8 8 7 7 7 8 9 10 10 8 8 8 9 10 9 9 9 10 12 11 10 8 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 9 6 4 3 4 7 8 9 11 13 14 14 14 12 10 9 10 9 9 10 10 10 10 10 10 9 8 5 0 -5 -7 -6 -2 3 6 7 8 8 8 8 8 nan
nan 9 10 9 9 9 9 9 10 9 9 9 9 9 9 8 7 6 6 6 7 9 14 19 19 17 14 11 11 10 9 8 6 4 3 4 7 9 10 10 9 8 8 9 10 11 11 11 11 10 9 8 8 7 7 7 7 7 8 9 10 11 11 11 10 8 7 6 5 5 6 7 8 8 9 9 9 10 10 11 11 11 11 11 10 9 9 8 8 9 9 8 7 7 7 9 10 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 12 13 12 10 8 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 8 9 8 8 6 6 7 8 9 10 12 13 14 15 15 13 11 10 9 9 9 10 10 10 10 10 10 8 5 -1 -5 -7 -6 -2 2 5 7 8 8 8 8 8 8 nan
nan 10 10 10 10 10 9 10 9 9 9 9 9 9 9 7 6 5 4 6 8 13 19 21 19 15 12 10 10 9 8 7 5 3 2 4 7 9 9 9 9 9 8 9 10 10 11 11 10 10 9 9 8 8 8 8 8 8 8 9 10 11 11 11 10 9 8 5 4 4 4 5 6 6 7 8 9 9 10 10 11 11 11 11 10 9 8 7 7 7 7 7 7 7 8 9 10 11 11 11 10 10 8 7 7 7 8 8 9 8 8 7 6 6 6 7 8 8 8 8 8 8 10 12 12 11 9 8 8 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 8 8 9 8 8 8 9 10 11 12 12 12 14 14 12 11 9 8 8 9 9 10 10 10 10 10 8 3 -2 -4 -3 -0 3 5 6 7 8 8 8 8 8 8 nan
nan 10 10 10 10 10 10 10 9 9 9 9 9 9 8 6 5 4 5 8 12 18 22 21 18 13 10 9 9 8 8 7 6 4 3 3 4 6 7 8 9 9 9 8 9 9 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 10 11 10 10 10 10 9 7 7 7 6 5 4 6 6 7 8 9 9 10 10 10 10 10 9 9 8 7 6 6 6 7 8 9 10 11 11 11 11 11 11 9 8 7 8 8 9 8 7 7 6 6 7 7 8 8 8 8 8 9 9 10 9 9 8 8 8 9 9 10 10 9 9 9 9 9 8 8 7 7 7 7 7 8 9 10 9 8 8 8 10 11 11 10 11 13 13 12 11 8 7 7 8 9 10 10 10 11 11 9 6 5 5 5 6 6 6 6 7 7 7 8 8 8 8 nan
nan 10 10 10 10 10 10 10 9 9 9 9 9 8 6 5 5 6 8 11 15 19 21 20 16 11 8 8 8 7 7 7 7 5 4 3 3 3 6 9 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 10 10 10 11 12 13 13 12 11 8 6 5 5 5 6 6 7 8 8 9 10 10 11 11 12 11 9 7 6 6 7 8 9 10 11 11 11 11 11 10 10 10 10 10 10 9 8 6 6 7 8 8 9 9 9 9 9 10 11 11 9 8 7 7 8 9 10 11 11 11 10 9 9 9 8 7 7 8 8 7 7 7 8 10 9 8 7 7 8 10 10 10 10 12 13 13 13 11 8 7 7 8 9 10 10 11 11 11 10 10 11 12 9 7 5 4 5 6 7 7 8 8 8 9 nan
nan 10 10 10 10 10 9 9 9 9 9 8 7 6 5 5 6 8 10 12 14 16 18 17 14 10 7 7 7 7 7 7 7 7 6 4 3 3 6 9 11 10 9 10 11 11 11 10 10 9 9 9 9 9 9 9 8 7 7 7 7 7 8 8 9 10 11 13 14 14 12 9 7 5 5 4 5 6 7 7 8 9 10 10 12 13 14 13 11 9 8 9 10 11 11 12 11 11 11 11 11 11 12 13 13 12 10 9 7 6 7 8 9 9 10 10 9 9 10 11 12 11 10 9 8 8 9 10 11 11 10 9 9 8 7 6 6 6 6 7 7 6 6 7 9 10 9 9 8 8 9 9 10 10 11 13 13 13 13 10 8 7 7 8 10 10 11 11 11 10 9 10 11 9 5 3 2 3 5 6 7 7 8 8 9 9 nan
nan 10 9 9 9 9 9 9 9 9 9 7 6 6 7 8 9 11 11 12 13 15 18 18 14 10 8 7 7 7 7 7 8 8 7 6 4 3 6 9 11 10 10 11 12 12 11 10 9 8 8 8 8 9 9 9 8 7 7 7 7 6 6 6 7 8 10 11 12 11 10 9 7 6 5 5 5 6 7 8 9 9 9 10 11 13 13 12 11 11 11 12 13 13 14 14 13 12 12 12 13 15 16 16 14 11 9 7 7 7 8 9 9 9 9 9 8 9 10 12 12 12 11 10 9 10 10 10 9 8 8 8 8 7 6 6 5 5 6 6 7 7 8 9 11 11 11 11 10 10 10 10 9 10 11 11 11 12 11 9 8 8 8 9 10 11 11 10 10 9 9 9 8 4 1 -0 1 4 6 7 7 8 8 9 9 9 nan
nan 9 9 9 9 9 9 9 9 9 9 7 7 8 9 10 12 12 12 13 14 18 20 19 14 11 9 8 8 8 8 8 8 8 8 7 4 3 5 7 9 10 10 11 11 11 11 10 10 9 8 8 8 9 9 9 8 8 8 7 7 6 5 5 5 6 8 9 9 9 8 7 7 7 6 6 6 7 8 9 9 8 8 8 9 9 9 9 10 11 12 13 14 14 15 14 13 12 12 13 15 17 16 14 11 8 7 7 7 8 9 10 10 9 8 8 8 9 10 12 13 12 11 11 10 10 9 9 8 8 8 8 8 7 7 7 7 7 8 9 9 10 12 13 14 14 14 14 14 14 13 12 11 11 10 10 10 11 10 9 8 7 8 10 10 10 10 10 10 9 9 9 7 4 3 3 4 6 7 7 8 8 9 9 9 9 nan
nan 9 9 9 9 9 9 10 10 9 9 8 8 9 10 11 12 12 12 13 14 18 20 18 14 11 9 9 8 8 8 8 8 8 8 6 3 2 4 7 10 11 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 7 6 5 5 5 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 6 7 8 9 10 11 11 12 12 12 11 10 10 10 11 12 12 11 9 7 7 7 7 8 9 10 10 10 9 7 7 8 10 11 12 12 12 12 11 11 10 10 9 9 9 9 9 8 8 8 9 9 10 11 12 13 14 15 16 16 15 15 16 16 17 16 15 13 12 10 10 10 10 9 8 7 7 9 10 10 10 10 10 9 9 9 9 8 9 9 8 8 8 7 8 9 9 9 9 9 9 nan
nan 9 9 9 9 10 10 10 10 10 9 9 9 10 11 11 12 12 12 12 14 17 18 16 14 11 9 9 9 8 8 8 8 9 8 6 3 3 4 8 11 11 11 11 11 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 7 7 6 6 6 7 7 6 6 7 7 7 7 7 7 7 8 7 7 7 8 8 8 8 8 9 9 9 10 10 10 9 9 7 6 6 6 7 8 7 7 6 7 7 8 8 9 10 10 9 8 6 5 6 7 10 11 11 11 12 12 11 11 11 11 11 11 11 10 10 8 8 9 11 12 13 13 13 14 15 16 16 15 13 13 14 15 16 16 14 13 11 10 10 10 9 9 8 7 9 10 10 10 10 10 9 9 9 9 9 10 12 12 12 11 9 8 9 9 9 9 9 9 8 nan
nan 10 10 10 10 10 11 11 10 10 9 9 9 10 10 11 11 11 11 11 13 16 17 15 13 10 8 8 8 8 8 8 8 8 8 6 3 3 5 8 10 10 10 11 11 12 12 11 11 10 10 10 10 9 9 10 10 10 10 9 9 9 8 8 7 7 7 7 7 6 6 7 8 8 7 7 7 7 8 8 8 9 10 10 10 10 10 10 9 9 9 9 9 8 6 5 3 2 3 5 6 7 7 7 7 7 7 8 8 8 8 6 3 1 2 3 5 6 6 6 7 9 10 11 12 12 12 12 12 11 10 9 8 9 10 12 12 12 12 12 13 13 14 13 12 12 11 11 11 12 13 13 12 10 9 10 9 9 9 9 9 10 11 10 10 10 9 9 8 9 9 10 11 11 12 13 13 11 10 10 10 9 9 9 8 8 nan
nan 10 10 10 10 10 10 10 10 9 9 8 9 10 10 10 10 10 10 10 12 14 15 13 10 8 7 7 7 8 8 8 8 8 7 5 5 6 8 9 8 8 8 9 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 7 6 4 5 6 8 8 8 8 8 8 9 10 11 11 11 10 9 9 9 9 9 9 9 9 8 8 6 4 2 3 5 7 7 8 8 8 6 5 5 5 5 4 3 2 1 1 2 3 3 3 2 2 4 6 9 10 12 13 13 14 13 11 9 7 8 9 11 11 11 11 11 11 12 12 12 11 11 11 11 9 9 10 12 14 13 11 10 9 9 10 10 10 11 10 10 10 9 9 9 8 9 9 10 10 10 10 12 14 14 13 12 10 10 9 9 9 8 8 nan
nan 9 9 9 9 9 9 9 9 9 8 8 9 10 11 10 10 9 9 9 11 12 12 11 9 7 7 7 7 7 7 7 7 7 7 7 8 10 11 10 8 7 7 8 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 8 7 5 3 4 5 7 8 8 8 8 9 11 12 12 11 10 8 8 8 8 8 8 8 7 8 8 9 8 8 7 8 9 10 10 10 9 8 7 6 5 5 4 3 3 3 3 4 5 6 5 5 5 5 7 9 10 10 11 11 13 14 13 11 9 8 9 10 12 11 12 12 12 12 12 12 11 11 10 10 10 9 8 8 10 12 12 11 10 10 10 11 11 11 11 10 9 9 8 9 9 9 10 10 11 11 10 10 12 14 15 15 13 11 10 10 9 9 8 8 nan
nan 9 8 8 8 8 9 9 9 9 8 9 10 10 11 10 9 8 8 8 8 9 10 10 9 7 7 7 7 7 7 7 7 8 8 9 10 11 11 10 8 8 8 9 10 10 11 10 10 11 12 13 13 13 12 10 9 8 7 6 6 6 7 8 8 9 9 7 4 2 3 5 7 9 8 8 9 10 12 13 12 11 9 8 8 8 8 8 6 6 6 7 9 10 11 11 12 12 13 12 11 11 11 10 9 9 8 7 7 7 7 7 7 7 7 8 8 9 10 11 12 13 12 12 12 12 14 16 15 14 13 12 13 14 15 15 15 15 14 13 12 11 10 10 9 9 8 8 8 9 10 11 12 10 10 10 10 11 11 10 10 9 9 9 9 10 10 11 11 12 12 12 11 11 12 13 15 16 15 13 11 10 10 10 9 9 nan
nan 8 8 8 8 8 8 9 9 9 8 9 10 10 10 9 8 8 7 5 5 6 9 10 9 8 7 6 6 7 7 7 7 8 9 10 11 10 9 9 9 9 10 10 10 10 10 9 10 10 12 13 14 14 12 11 9 7 5 3 2 2 3 6 8 9 9 7 3 2 2 5 8 8 8 8 10 12 14 14 12 10 9 9 9 9 8 8 6 6 7 8 10 10 11 12 12 13 13 13 12 12 12 11 11 11 11 11 10 10 9 9 8 8 8 8 10 12 14 14 15 15 15 15 16 17 18 18 16 16 15 15 15 16 17 18 17 16 14 12 11 10 9 9 8 8 8 8 9 10 12 12 12 11 10 10 10 10 10 10 9 9 9 9 10 10 11 12 12 13 13 13 13 12 12 12 14 16 17 15 13 13 13 12 11 10 nan
nan 8 8 7 7 8 8 9 8 8 8 8 10 10 9 8 8 7 6 4 3 6 8 10 11 9 7 6 6 6 6 6 7 8 9 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 10 12 13 13 13 12 11 9 8 6 4 3 3 5 8 9 9 7 4 2 3 6 8 8 8 8 11 13 14 13 12 9 8 8 8 8 8 8 7 7 8 9 10 11 10 10 10 11 12 13 13 13 14 14 14 14 14 13 12 11 9 8 8 8 9 12 14 16 16 15 15 15 16 18 19 19 18 16 14 15 15 14 14 13 14 14 14 13 12 10 9 8 8 8 8 9 10 11 12 13 14 13 12 11 11 10 10 10 10 9 9 9 9 9 9 10 11 12 13 13 14 14 14 13 12 12 13 15 17 18 19 19 18 17 15 13 nan
nan 8 7 7 7 8 9 8 8 7 7 8 10 10 10 8 7 6 5 3 4 7 9 12 12 10 7 6 6 6 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 12 13 13 13 13 13 12 11 9 8 8 8 8 8 7 5 3 3 5 8 9 9 8 9 10 12 12 12 11 9 8 8 7 8 8 8 8 8 10 11 12 11 10 9 9 9 10 11 12 13 15 17 18 18 17 16 13 12 11 11 12 13 16 18 19 18 15 13 13 14 15 17 18 18 17 15 14 13 12 12 11 11 11 12 12 11 10 9 8 8 9 9 9 10 11 13 14 15 15 13 11 11 11 11 11 10 9 8 8 8 8 8 8 8 10 11 13 14 14 15 14 14 13 13 12 13 15 19 21 22 21 20 20 20 nan
nan 8 8 8 9 9 9 9 8 7 6 7 9 10 10 9 7 5 4 4 6 9 11 13 13 11 8 7 6 6 6 6 7 7 8 8 8 8 10 10 9 9 8 8 8 9 9 9 8 8 8 9 10 12 12 12 12 13 13 12 11 11 11 10 8 7 5 3 3 5 7 9 9 9 9 9 10 10 11 10 10 9 9 8 8 8 8 8 9 10 13 14 14 12 10 9 8 8 8 9 10 11 13 16 17 17 15 13 12 12 13 14 17 19 20 20 19 16 12 11 11 12 13 14 16 18 19 18 15 12 10 10 10 11 12 12 12 11 10 9 9 9 9 9 9 10 12 13 14 15 13 11 11 11 10 10 10 9 8 7 7 8 8 8 7 8 10 11 12 13 14 15 15 14 14 12 11 10 12 15 16 17 17 19 21 23 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 17 31 37 30 22 11 12 18 24 30 36 38 39 40 40 40 39 38 37 36 34 33 32 33 32 34 40 51 61 68 64 51 46 45 44 39 33 29 23 20 20 20 21 21 21 22 22 20 19 19 17 16 15 14 12 12 12 14 17 21 24 28 30 31 29 26 24 24 22 16 14 17 26 34 39 43 46 50 54 56 55 53 51 50 51 48 33 21 16 16 15 15 17 21 23 20 21 22
4 3 3 3 3 3 3 3 4 4 4 4 4 4 3 2 2 2 1 1 1 2 2 1 1 1 1 1 0 0 1 1 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 11 27 36 33 15 11 13 18 25 31 36 41 43 44 44 45 45 44 43 42 38 39 39 39 39 43 53 61 60 55 47 40 38 39 41 35 32 27 21 19 18 19 19 19 20 21 21 22 23 22 20 17 15 14 13 13 12 13 14 14 15 17 18 18 18 18 17 14 12 10 12 17 23 27 31 35 39 42 44 46 48 47 45 46 48 39 27 18 16 16 15 15 16 23 21 21 21
5 4 3 3 3 3 2 2 3 3 3 3 3 2 2 2 2 1 2 2 2 2 1 1 1 1 0 0 0 0 0 0 1 1 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 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 22 36 26 17 13 13 17 24 30 40 46 48 51 54 53 51 51 51 51 50 49 49 49 51 56 60 61 56 49 44 42 42 45 40 33 28 22 18 17 16 16 17 18 19 22 25 26 25 23 21 17 16 15 14 13 13 13 12 13 13 13 13 14 14 14 12 11 9 10 12 14 16 19 24 30 33 36 39 41 41 40 40 41 40 30 20 17 17 17 16 15 20 22 22 20
5 4 3 3 2 2 1 2 2 2 2 2 2 2 2 2 1 1 1 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 27 33 30 22 12 12 18 24 36 43 49 54 58 58 56 56 58 58 57 57 58 58 58 59 59 56 53 50 48 49 50 50 45 35 28 24 20 17 14 14 15 16 19 24 27 28 26 25 22 21 19 18 16 15 14 14 13 13 13 12 12 13 13 14 15 13 11 11 11 10 10 12 16 21 26 30 33 35 36 37 37 37 36 32 24 19 18 18 16 14 17 21 25 22
4 3 3 3 2 2 1 1 1 2 2 2 1 1 1 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 10 20 29 35 24 13 13 18 28 38 47 55 61 62 63 65 65 66 66 65 66 66 64 63 61 59 57 54 53 52 54 53 50 43 35 29 23 19 14 13 14 16 19 24 29 31 26 25 23 22 22 21 20 19 18 17 16 15 15 15 13 13 14 15 14 14 13 13 12 11 9 9 11 14 18 23 27 31 33 35 36 35 34 31 27 20 19 19 18 16 16 18 27 27
3 3 3 3 2 3 1 1 0 1 1 1 1 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 14 36 38 24 14 14 21 33 45 54 60 65 72 81 86 87 86 82 82 79 76 72 69 68 64 62 60 56 57 56 53 48 42 34 26 23 18 15 13 14 17 22 29 31 28 24 22 21 21 22 21 22 21 21 21 21 19 18 17 14 14 15 15 14 14 15 14 13 11 10 11 12 13 17 20 23 27 31 34 36 35 33 29 22 19 19 19 18 17 14 23 28
3 3 3 2 2 2 1 0 0 0 1 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 24 36 34 23 15 16 25 37 49 57 69 87 107 118 114 110 105 101 97 94 90 87 83 79 75 71 67 63 61 57 53 48 42 35 29 23 18 16 16 17 23 29 31 29 25 20 19 20 21 22 23 23 24 24 24 24 23 21 19 18 17 16 16 16 16 15 14 13 13 13 13 13 13 15 17 20 24 28 32 36 34 29 22 18 16 17 20 18 16 18 23
3 3 2 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 16 25 32 38 31 16 19 27 40 55 70 95 119 131 132 130 126 121 117 112 106 101 96 92 90 88 85 81 78 72 64 58 51 44 36 29 24 22 22 23 27 29 30 29 26 22 20 19 20 21 22 23 24 24 25 26 26 25 24 23 22 21 20 18 17 17 17 17 16 16 15 14 13 13 15 17 20 24 27 33 30 23 18 15 14 13 16 17 17 17 18
1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 14 22 30 35 27 21 20 31 44 58 80 109 132 139 141 140 140 138 134 127 118 112 106 104 102 101 100 100 98 90 79 68 58 49 40 33 31 28 27 28 30 31 30 27 25 22 19 18 19 20 22 23 24 25 26 26 26 26 26 26 25 24 22 21 20 19 18 17 16 16 16 15 13 14 16 21 25 27 30 29 25 20 16 14 12 14 17 18 18 19
0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 7 14 23 33 39 32 23 26 33 42 62 92 117 118 133 145 152 156 155 151 144 136 129 123 117 116 118 123 121 114 101 88 75 65 55 47 42 36 33 32 32 32 31 29 27 25 21 19 19 19 21 22 24 25 25 25 26 26 26 28 27 26 26 26 24 24 22 20 19 19 19 18 15 15 20 24 27 29 30 30 29 26 20 18 15 16 17 16 19 23
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