Vorticity
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nan 5 5 5 5 5 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 5 5 5 5 6 6 6 7 7 7 7 7 7 6 5 4 3 2 2 2 2 2 2 2 2 3 3 4 7 11 16 16 11 8 7 7 6 6 7 8 8 8 8 8 8 8 7 7 8 9 9 6 4 3 2 3 3 3 4 4 4 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 5 5 5 4 5 5 5 5 5 5 nan
nan 5 5 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 7 7 8 7 7 6 6 5 4 3 2 2 2 2 2 2 2 2 3 4 6 10 15 17 13 8 7 7 7 7 6 7 7 8 8 8 8 8 8 7 7 8 8 7 5 3 2 2 2 3 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 nan
nan 5 6 7 7 7 7 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 7 7 7 7 6 6 5 4 3 3 2 2 2 2 2 2 3 3 4 7 12 17 16 11 8 7 7 7 7 6 7 7 8 8 8 8 8 8 7 7 8 8 7 5 3 2 2 3 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 nan
nan 6 7 8 8 8 8 7 7 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 7 7 7 7 6 6 5 4 3 3 2 2 2 2 2 3 3 4 5 8 13 15 13 10 9 8 7 7 7 7 7 7 8 8 9 8 8 8 7 7 8 8 8 5 4 3 3 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 7 8 9 9 9 8 7 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 7 6 6 6 5 4 4 3 3 2 2 2 2 3 4 4 6 9 11 11 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 7 7 7 8 8 7 5 4 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 7 8 9 9 8 7 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 5 4 4 3 3 2 2 2 3 3 4 5 6 8 10 9 7 8 9 9 8 8 8 7 7 7 7 7 8 7 7 7 7 7 8 8 6 5 5 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 6 7 8 8 7 7 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 3 2 2 2 3 3 4 4 5 6 7 9 9 8 8 8 8 8 8 9 8 7 7 6 7 7 7 7 7 7 8 8 7 6 6 6 5 6 6 6 7 7 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 5 6 6 7 7 6 6 5 5 5 4 4 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 4 5 5 5 5 5 5 5 5 5 4 4 3 3 2 3 3 4 4 5 5 6 7 8 9 9 8 8 8 9 9 9 8 8 7 7 6 6 6 6 6 7 8 7 6 6 7 7 6 6 6 7 7 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 6 6 6 7 7 7 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 3 3 3 4 4 5 5 5 6 6 6 7 8 8 8 7 8 9 9 9 8 8 8 7 6 5 4 4 4 6 7 7 6 7 8 8 7 6 6 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 7 7 7 8 9 9 8 7 6 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 4 4 4 4 5 5 5 5 5 4 4 3 3 4 4 5 5 5 6 6 6 6 6 7 7 7 7 8 8 8 7 7 8 8 8 7 5 3 3 4 6 7 7 7 7 8 8 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 9 9 9 9 10 10 9 8 7 6 6 5 6 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 4 4 4 4 5 4 4 4 4 4 4 4 4 5 5 6 6 6 6 6 6 6 7 8 8 7 7 7 6 6 7 8 8 8 7 6 4 4 6 9 10 9 8 8 8 8 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 11 10 9 9 10 11 10 9 8 7 7 6 6 6 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 7 8 8 7 6 7 7 7 8 8 7 7 7 6 6 6 9 11 12 11 9 8 8 7 7 6 6 6 6 6 5 5 5 5 5 5 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
nan 12 11 9 9 9 10 10 10 9 8 7 7 6 6 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 4 4 5 5 5 5 6 6 6 6 6 6 6 5 5 5 6 8 7 6 6 7 7 8 8 8 8 7 7 7 6 7 10 12 13 11 9 8 8 7 6 6 6 6 6 6 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 4 nan
nan 11 10 9 8 9 9 10 10 9 8 7 7 6 6 5 5 5 5 5 6 6 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 6 6 6 6 6 6 6 6 6 6 5 4 5 7 9 7 6 5 6 7 8 9 10 9 8 7 6 6 8 11 13 12 10 8 8 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 nan
nan 8 7 8 8 8 8 8 8 8 7 7 6 5 5 5 5 5 5 5 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 10 10 9 7 5 6 7 8 10 10 10 9 7 6 6 10 13 14 11 9 7 7 6 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 4 nan
nan 2 3 6 8 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 7 7 7 7 7 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 7 6 6 6 6 6 7 7 7 7 6 7 7 7 8 10 12 13 12 10 8 7 6 6 7 8 9 9 9 8 7 6 8 13 15 13 9 7 7 6 6 6 6 6 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 4 4 4 nan
nan 0 2 6 8 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 9 12 13 13 11 9 8 7 7 7 8 8 9 8 8 7 6 7 10 14 14 11 8 7 7 6 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 nan
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nan 11 11 11 9 7 6 6 5 5 5 4 4 4 4 4 4 5 5 6 6 7 7 8 9 9 9 9 9 9 9 9 9 8 8 7 6 5 5 6 7 7 6 5 5 6 7 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 6 6 8 13 15 13 10 8 9 8 8 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 nan
nan 9 9 9 8 8 7 7 6 5 4 4 4 4 4 4 4 4 5 6 6 7 7 8 8 9 9 9 9 9 8 8 7 7 6 5 4 4 5 8 10 10 10 8 7 6 7 9 9 9 9 8 8 9 9 8 7 8 8 8 9 9 8 7 6 8 9 8 7 7 6 7 10 14 14 10 9 9 9 9 8 7 6 5 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 nan
nan 6 7 8 8 8 8 7 6 5 4 4 4 5 5 5 4 5 5 6 6 7 7 8 8 8 8 8 8 7 7 6 6 5 4 3 3 4 5 8 10 13 14 13 11 10 10 10 10 10 8 6 5 7 9 9 8 8 9 9 9 9 8 7 7 8 9 8 8 7 7 7 10 12 10 8 8 8 9 8 8 7 6 5 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 nan
nan 6 8 8 7 8 8 8 6 5 4 5 5 5 6 5 5 5 5 5 6 6 7 7 7 8 7 7 7 7 6 5 4 3 2 3 4 5 6 7 8 10 13 15 14 14 13 11 10 9 8 6 4 5 7 8 8 8 9 9 8 8 8 7 8 8 8 8 7 7 7 9 12 12 9 7 7 8 8 8 8 7 6 5 5 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 nan
nan 8 9 8 7 7 8 8 7 6 5 5 6 6 7 7 7 6 5 5 6 6 6 6 7 7 7 7 7 6 6 5 3 2 2 3 4 6 6 6 6 7 9 11 13 14 15 13 11 10 10 8 6 6 6 7 7 8 9 9 8 7 7 8 8 8 8 8 7 7 8 11 15 14 9 6 6 7 8 8 8 7 7 6 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 nan
nan 10 10 8 7 7 8 9 8 8 7 6 6 7 8 9 9 8 6 5 5 5 6 6 7 7 7 7 6 6 5 5 4 3 3 4 5 6 6 6 6 6 6 6 8 11 13 13 11 10 9 9 8 8 7 7 7 8 8 9 8 7 7 8 8 8 8 8 8 7 8 12 16 14 9 6 6 7 7 8 7 7 7 6 6 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 nan
nan 9 10 8 7 8 8 9 10 10 10 8 7 7 8 9 10 10 9 8 7 6 6 6 7 8 8 8 6 5 6 7 7 6 5 5 6 6 7 7 7 7 6 6 6 8 10 11 10 9 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 8 7 8 13 16 13 8 6 6 6 7 7 7 7 7 7 6 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 nan
nan 9 9 9 8 8 8 9 10 12 12 10 9 9 8 7 8 8 9 10 10 9 7 6 8 10 11 11 8 6 6 8 9 8 7 6 6 6 7 7 7 7 7 6 6 6 7 8 9 8 8 7 7 8 8 8 8 8 7 6 7 8 8 8 8 8 8 9 9 8 10 14 16 13 9 6 6 6 7 7 7 7 7 7 6 6 5 5 4 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 nan
nan 8 9 9 8 7 7 8 9 10 11 10 10 10 8 6 5 6 8 10 12 12 8 7 9 11 13 13 11 9 6 7 7 8 8 7 6 6 6 7 7 7 8 7 7 6 7 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 12 15 16 13 8 6 6 6 7 7 7 7 7 7 6 6 6 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 nan
nan 8 8 8 7 7 6 6 7 8 8 8 9 8 6 4 4 5 6 8 12 12 9 7 8 9 11 12 11 9 6 6 6 7 8 8 6 5 6 7 7 7 8 7 7 7 7 8 9 8 7 8 8 9 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 10 12 16 17 14 8 6 6 6 6 7 7 7 6 6 6 6 6 6 5 5 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 5 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 nan
nan 7 7 7 7 7 6 6 6 6 6 7 7 6 4 4 4 5 6 7 9 9 8 7 7 8 8 9 8 7 6 6 6 8 9 9 7 6 6 6 6 7 8 8 7 7 7 8 8 8 7 8 8 9 9 8 8 8 9 8 8 8 8 8 8 8 8 8 8 9 13 17 18 14 8 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 4 4 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 8 8 8 7 7 7 7 6 6 7 7 6 5 5 5 6 6 7 8 7 7 6 7 7 8 8 7 6 6 6 7 8 9 9 8 7 7 7 6 6 7 7 7 7 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 13 18 18 13 8 6 6 6 6 6 6 6 6 6 5 5 6 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 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 6 6 6 6 6 nan
nan 7 8 8 8 8 8 8 7 7 7 7 8 7 7 6 6 6 6 7 7 7 7 6 7 7 8 8 8 7 6 7 7 8 8 8 8 8 8 7 7 6 7 7 7 6 6 5 6 7 7 7 7 7 7 8 7 7 8 8 8 8 8 8 8 8 8 8 8 9 13 17 18 14 9 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 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 6 6 5 6 6 nan
nan 7 8 8 9 8 8 9 8 7 7 7 8 8 8 8 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 7 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 11 15 17 14 10 7 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 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 6 6 6 6 5 nan
nan 7 7 8 8 9 9 9 9 8 8 8 8 9 9 8 8 8 7 7 7 8 8 8 7 7 8 8 8 8 9 8 8 7 7 7 8 8 8 8 8 8 8 8 7 7 7 6 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 7 8 8 8 8 10 13 16 15 11 8 7 7 7 7 6 5 5 5 5 5 5 5 5 5 4 4 5 5 5 5 5 5 4 4 4 4 4 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 6 6 6 nan
nan 7 7 7 8 8 9 9 9 8 8 8 9 9 9 9 8 8 8 7 7 8 8 8 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 9 8 7 7 7 8 8 7 8 11 15 16 13 10 8 8 7 7 6 6 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 4 4 4 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 6 6 6 6 nan
nan 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 8 8 8 9 8 7 6 7 7 8 7 7 10 14 16 15 13 10 8 7 7 7 7 6 6 6 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 nan
nan 8 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 8 8 7 7 7 7 7 7 7 8 8 8 7 6 6 7 8 8 8 10 14 17 17 15 11 8 7 7 7 7 7 7 7 6 6 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 nan
nan 8 8 7 7 7 7 8 8 7 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 9 9 8 8 7 8 8 9 8 8 7 7 8 8 8 7 7 7 8 8 8 8 8 8 7 6 6 7 8 8 9 10 13 17 18 17 13 10 8 7 7 7 8 8 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 7 8 8 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 7 7 8 8 9 8 8 8 8 7 7 7 7 8 8 8 10 13 16 18 17 14 11 9 8 7 7 7 8 8 8 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 8 9 9 10 10 9 8 8 8 8 8 8 7 7 7 7 8 7 7 8 9 9 9 9 8 7 7 7 7 8 8 8 8 9 11 14 16 17 16 13 10 8 7 7 7 8 9 9 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 7 8 9 9 8 7 7 7 7 8 8 9 10 10 10 9 8 8 8 7 8 7 7 7 7 8 7 7 7 8 8 9 9 9 8 7 7 8 8 8 8 8 9 10 12 15 18 19 16 12 9 8 7 7 8 9 9 9 9 8 8 7 7 6 6 6 5 5 5 5 6 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 7 7 7 8 9 8 8 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 6 6 7 8 9 10 9 8 7 8 8 8 8 8 9 9 11 14 18 20 19 16 12 9 8 8 8 8 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 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 6 6 nan
nan 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 7 7 6 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 9 10 9 8 8 8 8 7 8 8 9 9 10 12 16 19 21 20 16 12 9 8 8 9 9 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 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 6 6 nan
nan 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 6 6 6 7 7 8 8 8 8 7 7 7 7 7 8 8 8 7 8 9 9 9 9 8 7 7 7 7 6 6 6 6 7 9 9 8 8 8 8 7 7 7 8 8 9 9 11 13 17 20 22 21 16 12 10 9 9 9 10 10 10 9 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 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 6 6 nan
nan 8 8 8 7 7 8 8 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 7 7 7 7 7 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 8 7 7 7 8 9 9 9 8 7 7 8 7 7 6 6 6 7 8 9 8 8 8 8 7 7 7 7 7 8 9 9 10 13 17 21 23 21 17 13 11 10 10 10 10 11 10 9 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 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 6 nan
nan 8 8 7 7 7 8 8 8 8 7 7 7 7 8 8 8 7 7 6 7 8 8 8 7 8 7 7 7 7 7 8 7 7 7 8 8 9 9 8 7 7 7 7 7 6 7 7 8 9 8 8 7 8 8 8 7 7 6 6 7 7 8 9 9 8 8 8 7 7 6 6 7 8 8 9 10 13 16 20 22 21 18 15 13 12 11 11 11 11 10 10 9 8 8 8 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 6 6 6 6 6 6 6 nan
nan 8 8 7 7 7 7 8 8 8 8 8 7 7 8 8 9 8 7 6 6 7 7 8 8 8 8 8 7 8 8 8 8 7 7 7 8 9 9 8 8 7 8 8 8 7 8 8 8 8 8 8 7 8 8 8 8 8 7 7 7 7 8 9 9 9 8 8 8 7 6 6 7 7 7 8 9 10 12 15 18 20 20 19 18 17 15 13 12 12 11 10 10 9 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 8 7 7 7 7 8 8 8 8 8 8 7 8 9 9 8 7 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 7 8 8 8 8 9 8 8 9 9 8 7 7 8 9 9 9 9 9 7 7 7 8 9 9 9 8 8 7 7 6 7 7 7 7 8 8 9 11 13 15 17 19 20 21 20 16 13 12 11 10 10 9 9 9 9 8 8 8 8 7 7 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 6 6 6 6 nan
nan 8 8 7 7 7 7 7 8 8 8 8 8 7 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 8 7 8 8 9 10 10 10 9 7 7 8 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 9 9 11 12 14 18 22 22 21 17 14 12 10 10 10 10 10 9 9 9 8 8 8 8 7 7 7 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 6 nan
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nan 7 7 7 7 7 7 8 8 9 9 8 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 8 8 9 8 8 7 7 7 8 8 8 8 8 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 8 7 7 7 8 8 7 7 8 9 9 10 12 15 21 25 27 24 20 15 12 11 11 11 11 11 10 10 10 9 9 9 9 9 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 7 8 8 8 9 9 8 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 7 7 7 8 8 9 9 8 7 7 8 8 8 8 8 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 9 9 9 8 8 7 7 8 8 8 7 8 8 8 9 9 11 14 19 24 27 25 20 15 12 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 8 8 8 8 9 9 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 8 8 8 8 9 9 8 8 7 7 7 7 7 8 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 9 9 10 13 18 24 27 25 19 14 12 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 8 8 8 9 8 7 6 6 7 7 7 7 7 7 7 8 7 8 8 7 7 6 6 7 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 8 9 9 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 8 8 8 9 12 18 24 26 23 17 13 12 11 11 11 12 12 12 12 12 11 11 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 nan
nan 7 7 7 8 8 8 8 8 7 6 6 7 7 7 7 7 7 8 8 8 8 8 8 7 6 6 7 7 8 8 8 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 9 9 9 8 8 8 9 13 20 25 25 21 17 14 12 11 11 11 12 12 12 12 12 12 11 11 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 nan
nan 8 8 8 8 8 8 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 8 8 8 7 7 7 8 8 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 9 8 8 8 9 11 16 21 24 24 21 18 15 12 11 11 12 12 12 12 12 12 12 11 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 nan
nan 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 12 16 20 23 24 23 20 17 15 15 14 13 12 12 11 11 11 11 11 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 7 7 7 nan
nan 8 8 8 9 9 8 9 8 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 9 9 10 9 8 7 6 6 6 7 7 8 7 7 8 8 8 8 8 8 8 7 7 8 8 9 9 8 8 8 8 8 8 7 8 8 9 9 10 10 9 9 8 8 8 7 7 7 8 9 10 12 15 19 22 23 22 21 21 20 20 18 14 12 11 10 10 10 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 7 7 nan
nan 7 8 8 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 9 8 8 7 7 8 8 9 9 9 10 10 9 9 8 7 7 6 6 7 8 8 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 8 7 8 8 9 9 10 11 10 9 9 8 8 8 7 7 8 9 9 10 11 14 16 17 18 19 20 22 24 22 18 14 12 10 10 9 10 10 10 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 7 8 8 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 9 8 7 7 8 8 9 9 9 10 10 10 9 9 9 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 8 8 8 8 8 9 9 10 10 10 9 9 9 8 8 8 8 9 9 9 9 10 11 11 12 13 15 19 23 25 23 19 15 12 10 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 nan
nan 7 7 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 7 7 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 10 10 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 9 11 14 19 23 25 24 20 16 13 11 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 nan
nan 7 8 8 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 5 6 7 7 7 7 7 7 6 7 7 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 8 9 9 9 8 8 7 7 8 9 9 9 8 8 8 7 7 7 7 9 11 14 19 24 26 26 23 18 14 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 7 7 nan
nan 7 8 8 9 8 8 7 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 7 7 6 6 6 6 6 7 7 8 8 9 9 9 9 8 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 7 7 8 9 11 14 19 24 27 27 25 20 16 14 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 8 8 8 nan
nan 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 8 7 6 6 6 6 6 6 6 6 6 7 7 7 6 6 5 5 5 5 5 5 6 7 7 8 8 9 9 8 8 8 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 8 9 9 9 9 8 8 8 7 7 7 7 8 8 9 9 10 13 17 22 26 28 26 23 20 17 16 15 14 13 12 12 11 11 11 11 11 10 10 10 10 10 10 9 9 8 8 nan
nan 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 9 9 8 7 8 8 8 7 6 6 6 6 6 6 7 7 6 6 5 5 5 5 5 5 5 5 5 6 6 6 7 8 8 9 9 8 8 7 7 6 6 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 11 14 19 24 26 27 25 23 23 23 21 19 16 14 13 12 12 11 11 11 11 10 10 10 10 9 9 9 8 nan
nan 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 9 8 8 7 7 7 7 7 8 7 6 6 6 6 7 7 8 7 6 5 5 4 5 5 6 6 6 6 6 6 7 7 7 8 8 9 9 8 8 8 7 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 9 10 12 16 20 24 25 25 26 27 28 27 24 19 15 14 13 12 12 12 11 11 10 10 10 10 9 9 9 nan
nan 7 7 7 7 8 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 5 5 5 6 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 7 8 8 9 10 10 9 9 9 9 10 10 9 8 8 8 7 8 8 8 9 10 13 16 18 20 21 23 26 29 27 23 19 16 14 13 13 12 11 11 10 10 10 10 9 9 9 nan
nan 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 7 7 7 7 7 7 8 9 9 9 8 6 5 6 6 7 7 7 7 7 7 7 7 7 7 6 7 8 9 9 10 10 10 9 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 10 11 11 10 9 9 10 10 10 9 8 8 7 7 7 7 7 7 7 8 10 11 13 14 16 20 23 24 22 20 17 16 15 14 13 12 11 11 10 10 10 10 10 9 nan
nan 8 7 7 7 8 8 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 6 7 7 7 7 7 7 7 7 7 7 8 9 10 9 7 6 5 6 6 6 6 6 6 6 7 7 7 6 6 6 8 9 10 11 11 11 10 10 9 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 9 10 10 9 9 8 8 7 7 6 6 6 6 7 7 8 8 10 11 13 16 19 20 20 19 17 16 15 15 14 14 13 12 11 11 10 10 10 10 nan
nan 8 7 6 7 7 8 8 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 7 9 9 9 8 6 6 5 5 5 6 6 7 7 8 8 8 8 7 7 8 9 11 12 12 12 12 12 11 10 9 8 7 7 8 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 11 10 10 10 9 8 8 8 8 8 7 6 7 7 7 7 7 7 8 9 10 14 17 19 19 19 18 17 16 16 16 16 15 15 14 13 12 11 11 10 10 nan
nan 9 7 6 6 6 7 8 9 9 8 8 7 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 8 7 7 7 7 6 6 7 7 7 6 7 8 9 9 9 8 7 6 5 5 5 6 7 8 9 9 9 9 9 8 8 8 9 10 11 12 13 14 14 13 11 10 9 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 10 10 9 8 8 7 7 8 7 7 7 8 8 8 8 8 8 8 10 14 17 18 19 20 20 20 18 17 17 17 16 16 15 14 13 12 11 10 10 nan
nan 9 8 7 6 6 6 7 8 9 8 8 7 7 7 8 8 8 9 9 10 9 9 8 8 8 9 9 9 8 8 8 7 6 6 6 7 7 7 7 7 8 9 10 9 8 7 6 5 5 5 6 7 7 8 8 9 8 8 7 6 6 7 8 9 11 13 15 15 14 13 11 10 9 9 10 11 11 12 11 10 10 9 9 9 8 8 9 9 9 8 8 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 12 13 15 16 19 21 22 21 19 18 17 16 16 15 15 14 12 11 10 10 nan
nan 9 8 8 7 7 7 7 7 8 8 8 8 7 7 8 8 8 9 9 10 10 10 9 9 8 8 9 9 9 9 9 8 7 6 6 6 7 7 7 7 8 9 10 9 8 8 8 7 6 5 5 6 6 6 7 8 8 8 8 7 6 5 5 6 8 10 12 14 14 14 13 12 10 10 10 11 12 12 11 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 10 10 10 10 12 15 19 21 21 21 19 16 15 15 15 14 13 12 11 10 10 nan
nan 10 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 11 10 10 9 8 8 8 8 8 9 9 8 7 6 7 7 7 7 7 7 7 9 9 9 8 9 9 9 8 6 5 6 6 5 6 7 9 11 11 11 10 8 7 7 7 8 9 11 13 13 13 12 11 10 10 10 10 10 9 8 7 7 8 8 7 7 7 7 7 7 7 8 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 9 11 13 16 19 21 21 16 13 13 13 13 12 12 11 10 9 nan
nan 10 10 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 9 10 10 10 10 9 9 8 8 7 7 8 9 9 8 7 7 8 7 6 6 6 7 8 9 9 9 8 9 10 9 7 6 6 6 5 5 6 8 12 13 13 12 11 10 9 8 7 7 8 10 11 12 11 11 10 10 9 9 8 7 7 7 7 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 9 8 8 8 9 12 16 20 21 17 13 12 11 11 11 11 10 10 9 nan
nan 10 10 10 10 10 9 8 7 7 7 7 7 8 8 8 8 8 8 8 9 10 10 10 9 9 8 8 8 8 8 9 9 8 8 8 8 7 6 6 5 6 7 8 9 9 9 9 9 8 7 6 6 6 5 5 5 7 9 11 11 10 9 9 9 8 6 5 6 7 9 10 11 11 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 7 7 8 11 17 20 18 15 12 11 10 10 10 10 10 10 nan
nan 9 9 10 10 10 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 10 10 10 9 8 8 8 8 8 9 9 9 9 8 7 6 6 5 5 5 6 7 8 9 9 10 9 8 7 7 7 7 6 6 6 6 6 7 7 6 6 6 7 6 5 4 4 4 6 8 9 10 10 10 9 8 8 7 7 6 6 6 6 6 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 9 9 8 7 6 9 13 16 16 15 13 12 11 11 11 11 10 11 nan
nan 8 8 9 10 10 9 8 7 6 6 6 7 8 8 8 9 9 8 8 8 8 9 10 10 9 9 9 9 9 8 8 8 9 10 9 8 6 6 6 5 4 5 6 7 8 9 10 10 10 9 8 8 8 8 8 7 7 7 7 6 6 6 6 6 5 5 4 3 3 4 5 7 9 9 9 9 9 8 8 7 6 6 6 6 6 7 7 8 8 8 8 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 8 9 9 9 10 11 11 10 9 9 11 13 14 14 14 14 13 13 13 13 12 12 nan
nan 8 8 8 9 10 10 9 8 7 7 6 7 7 8 9 9 9 9 8 8 8 9 10 10 10 10 10 10 10 9 8 7 9 10 10 8 7 7 6 5 5 5 5 5 6 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 4 2 2 3 4 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 9 9 9 10 11 12 13 13 13 13 12 12 11 12 13 14 14 15 15 15 14 14 13 nan
nan 9 8 8 9 10 11 10 9 8 8 7 7 7 8 9 9 10 9 9 8 9 9 10 10 10 10 10 10 10 9 7 7 8 9 10 9 8 8 7 6 6 6 5 5 6 7 8 9 9 10 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 7 5 3 2 1 1 3 6 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 7 7 8 8 8 8 9 9 10 10 11 12 13 14 16 16 14 11 10 11 12 13 14 15 15 14 14 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
CAPE
0 0 0 1 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 5 9 17 21 25 26 22 17 13 12 11 10 11 12 14 15 16 17 16 12 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 0 0 0 0 0 0 0 0 2 7 13 17 19 21 21 18 13 10 10 10 10 10 9 9 8 7 6 6 5 4 4 5 5 5 5 4 3 2 1 1 1 1 1 1 1 1 2 3 3 2 2 2 1 1 1 1 1 0 0 0
0 0 1 4 2 1 1 1 1 1 0 0 0 1 1 1 0 1 2 2 2 2 2 2 2 2 2 3 3 3 6 13 17 20 21 19 16 15 14 12 11 9 12 15 16 17 17 16 12 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 12 18 21 22 22 20 16 13 10 8 7 6 8 7 8 8 6 7 6 4 4 5 5 5 5 4 3 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 1 1 1 0 0 0 0
0 0 3 8 8 6 7 7 6 6 4 3 1 2 1 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 5 9 14 17 18 17 16 15 13 12 11 9 11 14 16 17 16 14 10 5 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 9 19 22 23 22 20 16 13 9 5 4 4 4 5 5 6 5 5 5 4 4 4 4 4 4 3 2 1 1 0 0 0 1 1 1 2 2 2 2 2 1 1 1 1 1 1 0 0 0 0
1 3 10 13 15 14 14 14 13 12 12 10 8 5 2 2 3 2 2 2 2 2 3 3 3 3 3 3 4 4 4 6 11 14 15 14 14 13 10 9 10 10 12 15 17 18 17 14 10 4 1 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 15 19 21 19 16 13 9 6 4 3 3 3 4 4 4 4 4 4 4 4 4 4 3 3 2 2 1 1 0 0 0 0 1 1 1 2 2 2 2 1 1 1 1 1 0 0 0 0 0
6 10 17 22 26 25 23 22 20 18 18 19 17 13 6 3 3 3 2 2 2 2 2 3 4 4 4 4 4 4 4 6 10 13 15 14 12 11 9 9 10 12 14 17 18 20 19 14 10 4 0 0 0 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 3 5 10 14 15 14 13 11 7 4 3 3 3 2 2 3 3 4 4 4 4 4 4 3 3 3 2 2 2 1 0 0 0 0 0 0 1 2 2 2 1 1 1 1 1 0 0 0 0 0 0
11 17 27 34 36 36 35 33 29 26 26 26 26 23 15 6 3 3 2 2 2 2 2 3 4 4 4 4 4 5 4 6 8 11 13 12 9 9 9 10 10 11 14 18 20 20 19 15 10 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 2 4 6 9 11 12 12 9 5 4 2 1 1 0 1 2 3 3 3 4 4 4 4 3 3 3 3 2 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0
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