Vorticity
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nan 16 14 12 10 8 7 7 7 7 7 8 8 9 8 7 7 7 7 8 9 10 11 10 10 9 9 8 8 8 9 10 10 10 10 11 11 10 9 8 8 8 9 9 9 9 9 8 8 7 7 6 6 6 5 5 6 6 6 5 4 4 6 7 7 7 7 7 6 6 7 7 8 8 8 8 9 9 8 8 8 8 8 9 9 10 9 9 9 9 9 8 8 9 10 10 9 8 8 8 8 8 7 8 8 8 8 7 8 8 7 7 7 7 6 6 6 7 7 7 8 8 8 8 9 10 10 11 11 10 9 7 6 6 6 6 6 6 6 6 7 8 11 11 10 9 8 8 8 9 10 11 11 11 11 10 10 9 9 9 9 9 8 8 7 6 6 7 8 8 9 9 8 8 7 7 7 7 7 7 6 7 7 7 7 7 nan
nan 14 12 9 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 6 6 6 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 9 8 8 7 8 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 7 6 6 6 6 7 7 8 8 8 8 8 8 9 10 10 11 11 11 10 9 8 7 6 6 6 5 5 6 6 7 9 10 10 9 8 8 8 9 9 10 10 10 10 10 9 10 10 11 11 10 9 6 3 3 5 7 8 9 10 9 8 7 7 7 7 8 7 7 7 7 7 7 7 6 nan
nan 12 9 8 7 7 7 7 7 7 8 8 8 8 9 9 8 7 7 7 7 9 10 10 11 11 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 8 7 7 8 8 7 6 6 6 6 7 8 9 9 8 8 8 8 9 9 8 7 6 6 7 7 8 8 7 7 7 7 7 7 6 6 5 6 6 6 7 8 9 9 8 7 6 6 7 8 8 9 9 10 10 10 9 9 8 8 8 8 8 8 8 7 7 8 8 8 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 9 10 11 11 10 10 9 8 8 7 7 7 6 6 7 7 8 9 9 9 9 9 9 9 9 10 9 9 8 8 9 10 11 12 12 11 9 5 2 2 4 7 9 10 10 9 8 7 7 8 8 8 7 7 7 8 8 7 6 6 nan
nan 10 9 7 7 7 7 7 7 7 7 7 8 9 10 10 9 7 6 6 8 9 10 11 12 12 12 10 9 9 9 9 8 8 10 11 10 10 10 10 9 7 6 6 7 7 6 5 6 7 7 7 7 8 8 9 10 10 11 10 9 8 6 6 7 8 8 8 9 8 8 8 8 8 8 7 6 6 6 6 6 6 7 7 7 6 6 6 7 7 8 8 8 9 9 10 10 10 9 8 8 8 8 8 8 7 7 8 8 8 8 8 9 8 7 7 7 7 7 8 7 7 7 7 8 8 8 9 10 10 10 10 10 10 9 9 9 9 8 7 7 7 8 8 9 10 10 11 10 10 9 9 8 8 8 8 9 10 11 12 11 10 7 3 1 2 5 8 10 10 9 8 8 8 8 8 8 7 7 8 8 9 8 7 6 6 nan
nan 10 9 8 7 7 7 7 7 7 7 7 7 9 9 9 8 7 6 7 9 9 10 11 13 13 12 11 10 9 9 8 7 9 11 12 12 11 10 9 8 6 5 6 7 6 5 6 7 9 9 8 7 7 8 10 12 12 11 9 8 7 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 6 6 5 5 6 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 9 10 9 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 8 8 7 7 8 9 9 10 11 12 11 10 9 8 8 8 9 9 10 10 10 9 6 3 1 1 4 8 11 12 10 8 7 7 7 8 8 7 6 7 8 9 9 8 7 7 7 nan
nan 11 9 8 7 7 7 7 7 7 7 7 8 9 9 8 7 7 7 9 9 9 10 11 12 12 11 10 10 9 9 8 8 10 12 12 11 10 8 7 6 5 5 6 5 5 6 7 9 10 10 9 8 8 9 12 12 11 10 9 9 9 10 11 11 10 10 10 10 10 9 8 7 7 7 7 7 7 6 6 7 7 7 6 5 6 7 8 9 8 8 8 9 9 9 9 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 9 10 9 8 7 7 6 6 6 7 7 7 8 8 8 9 9 9 8 9 9 10 10 10 10 10 10 10 9 8 7 7 8 9 8 8 9 11 12 11 10 9 9 9 9 9 9 9 9 6 3 0 0 3 8 12 14 13 10 7 6 6 6 7 7 7 7 8 9 9 9 9 8 8 8 nan
nan 11 9 8 7 7 6 6 6 7 7 7 8 8 8 7 7 7 8 9 9 9 9 10 10 10 10 10 9 8 8 8 9 11 11 10 9 8 6 6 6 6 5 5 5 6 7 10 11 11 10 9 9 9 10 11 11 10 10 10 11 12 12 12 11 10 9 9 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 9 9 8 8 8 9 10 10 9 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 7 6 6 9 11 12 11 11 10 10 9 9 9 8 8 5 3 1 3 7 12 16 17 14 11 8 6 6 6 7 7 8 8 8 8 8 8 8 9 8 7 nan
nan 10 9 8 7 7 6 6 6 6 7 7 8 8 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 7 6 6 6 6 5 5 6 8 10 13 13 11 9 8 8 7 8 8 9 9 10 10 11 11 11 10 8 7 6 5 4 4 4 5 6 6 6 6 6 6 6 6 5 5 5 5 6 8 9 9 9 8 8 8 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 7 7 7 8 8 8 9 9 9 8 8 7 7 7 6 5 6 9 11 12 12 12 11 10 9 8 8 7 6 4 4 6 11 14 16 15 12 10 8 8 8 8 8 8 8 7 6 6 6 7 8 8 7 6 nan
nan 11 9 8 7 7 6 6 6 6 6 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 7 7 6 6 7 9 11 14 15 13 10 8 7 6 5 5 6 7 7 8 8 7 7 6 4 4 3 3 3 2 3 4 5 6 6 6 6 7 7 7 6 6 6 5 5 6 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 8 7 7 7 8 8 9 9 8 6 6 6 7 7 7 8 10 10 10 8 7 8 9 7 5 5 7 9 10 10 11 12 11 9 8 8 7 6 5 6 9 12 13 13 11 9 9 9 10 10 10 10 9 7 6 5 6 7 7 8 7 6 6 nan
nan 12 11 9 8 8 7 7 6 6 6 6 7 7 8 8 9 9 9 9 9 9 8 8 7 7 8 8 9 10 9 8 8 8 9 9 9 9 9 9 8 8 9 10 11 13 14 14 11 9 7 6 5 6 7 8 8 7 6 4 3 2 2 2 2 2 3 3 3 4 5 5 6 6 6 7 7 7 7 7 6 6 5 5 6 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 8 10 11 10 9 8 9 10 9 8 6 6 6 7 8 9 10 9 8 7 7 7 6 6 7 10 11 11 10 8 8 9 10 11 10 10 9 8 7 6 6 7 7 7 7 6 5 6 nan
nan 14 12 11 9 8 8 7 7 6 6 6 6 7 8 8 9 9 9 9 9 8 7 7 7 7 8 10 11 10 9 8 7 9 10 9 9 9 9 9 9 10 11 11 11 12 12 11 10 7 6 6 6 8 10 10 9 7 4 2 1 2 2 2 3 3 4 4 4 5 5 6 7 7 7 7 7 7 7 7 6 6 6 6 8 9 9 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 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 7 6 7 9 10 10 10 10 10 10 10 9 8 6 4 4 5 6 7 7 7 6 6 6 6 6 8 10 10 10 8 8 9 10 12 11 9 9 9 8 6 6 7 7 7 7 6 5 6 6 nan
nan 14 13 11 10 8 8 8 7 6 5 5 6 7 8 8 9 9 9 9 8 7 6 7 8 9 10 11 11 10 9 8 8 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 8 6 5 5 7 9 10 10 8 6 3 2 2 4 5 5 4 4 4 5 5 6 7 8 9 8 8 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 8 9 10 11 11 11 10 9 9 9 10 9 8 6 6 7 8 9 10 10 10 10 10 9 8 6 4 3 4 4 5 6 6 6 6 6 6 6 7 9 9 10 9 8 9 10 11 10 9 9 8 7 6 7 8 8 7 6 5 6 6 7 nan
nan 13 12 11 10 9 8 8 7 6 5 5 5 6 7 8 9 9 9 8 7 6 6 7 9 10 11 11 11 10 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 11 11 10 8 5 4 5 6 8 8 9 7 5 3 3 4 6 7 6 5 5 5 6 7 8 10 10 10 9 8 7 6 7 7 7 7 7 7 6 6 7 7 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 7 8 10 10 11 11 10 9 9 9 10 9 7 6 5 6 7 8 9 10 10 10 10 9 7 7 6 6 6 5 5 6 6 7 7 7 6 5 5 6 8 9 8 8 8 9 9 8 8 8 7 7 8 8 9 8 6 5 5 7 8 8 nan
nan 11 11 10 10 9 8 8 7 6 5 5 5 6 7 8 9 9 8 8 7 6 7 8 9 11 11 11 10 10 9 9 9 9 9 9 10 10 10 9 8 8 8 9 10 10 10 9 7 4 4 5 6 7 8 8 7 5 4 3 5 6 7 6 6 6 7 8 9 10 11 11 9 8 7 6 6 7 7 7 7 7 7 6 6 6 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 10 9 9 9 8 6 5 5 5 6 7 8 9 9 10 9 9 8 8 9 9 9 8 7 7 7 7 8 8 7 4 3 4 6 7 7 7 8 8 6 6 7 7 7 8 8 9 8 7 5 5 6 8 9 9 nan
nan 10 10 9 9 9 9 8 8 7 6 6 5 6 7 8 9 9 8 8 8 7 7 8 9 10 10 10 10 10 9 9 9 8 8 9 10 10 10 9 8 8 9 10 10 9 9 8 7 5 4 5 6 7 8 8 7 6 4 4 5 5 6 6 7 8 10 10 10 10 9 8 7 7 6 7 8 8 7 7 7 8 8 7 6 6 6 6 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 8 8 7 7 7 8 8 8 8 8 7 7 8 9 10 11 11 11 10 9 8 6 5 5 5 6 6 7 7 8 8 8 8 8 9 10 11 11 10 10 10 9 9 10 10 9 7 5 5 6 6 7 7 8 7 5 5 5 6 7 8 8 7 6 5 5 6 8 9 10 10 nan
nan 10 9 8 8 8 8 8 8 8 8 7 6 6 7 8 8 9 9 9 9 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 9 9 8 8 7 6 5 6 7 8 9 9 8 6 4 4 5 6 7 8 9 10 11 10 10 9 7 6 6 6 7 8 8 8 7 7 8 9 9 8 7 6 6 6 7 8 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 10 11 12 12 11 11 10 9 6 5 5 6 6 6 6 7 7 7 7 7 8 9 10 10 11 11 11 11 11 12 11 11 11 11 9 8 7 7 7 7 7 6 5 5 5 6 6 6 6 5 5 5 6 7 9 10 10 9 nan
nan 11 9 8 8 8 8 8 9 9 8 8 7 7 7 8 8 9 9 10 9 9 9 8 9 9 10 10 9 8 8 8 9 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 6 6 7 8 10 11 11 8 5 4 5 6 7 8 9 10 11 10 10 9 7 6 6 6 7 8 8 8 7 7 8 9 10 8 8 8 7 7 6 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 7 7 7 7 6 6 6 7 7 7 7 8 9 9 10 10 10 10 11 11 12 12 11 12 12 12 10 8 7 6 6 6 6 6 6 6 5 5 4 4 4 4 5 7 9 9 9 9 8 nan
nan 12 10 9 8 8 9 9 9 9 9 8 8 7 8 8 8 9 10 10 10 9 8 8 8 9 9 9 9 8 8 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 7 6 7 8 10 12 12 10 7 5 5 6 7 8 9 10 10 10 9 9 8 7 7 7 8 8 8 8 7 7 7 8 9 8 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 7 7 8 9 9 8 8 8 8 9 9 8 7 7 8 9 10 11 10 9 9 9 7 6 6 7 7 8 7 7 7 8 8 8 9 9 10 10 11 11 11 11 11 11 11 9 8 6 5 4 5 6 6 7 6 5 4 4 4 4 5 7 8 9 9 9 8 8 nan
nan 13 11 10 9 9 10 10 10 10 10 9 8 8 8 8 9 9 10 10 9 9 8 8 8 9 9 9 9 9 9 10 10 11 10 10 9 9 9 9 9 8 8 7 7 7 8 8 8 8 9 10 12 12 12 9 7 6 6 8 10 11 11 11 10 10 9 8 8 8 8 8 8 7 7 8 7 7 7 7 8 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 8 8 8 9 9 8 8 7 7 8 9 9 9 8 8 8 8 8 8 8 7 7 8 9 10 11 11 10 10 9 7 6 7 7 8 8 8 8 8 7 7 7 7 8 9 10 10 10 10 11 11 10 9 8 7 6 5 5 6 7 7 7 5 4 4 4 4 5 6 7 8 8 8 8 8 8 nan
nan 13 12 11 11 11 11 11 11 11 10 9 8 8 8 8 9 9 9 9 9 8 8 9 10 10 10 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 7 7 8 8 9 10 10 11 12 13 12 11 8 7 7 9 11 13 14 13 13 11 10 9 8 7 7 7 8 7 7 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 6 6 7 7 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 8 8 9 8 8 7 7 8 8 8 9 8 8 8 8 8 8 9 9 9 8 8 8 9 10 10 10 10 8 7 7 7 8 8 9 9 9 8 8 8 7 7 7 8 8 9 9 9 9 9 9 8 7 7 6 6 7 8 8 8 7 5 4 4 4 6 7 7 7 7 7 7 7 8 8 nan
nan 13 12 12 12 12 12 12 12 11 11 10 9 9 8 8 8 8 8 8 8 8 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 8 7 7 7 7 7 8 8 9 9 10 11 11 12 12 12 11 10 8 8 10 12 14 14 14 12 11 9 8 7 7 6 6 7 7 7 8 8 8 7 7 6 6 7 6 6 6 7 7 7 7 6 6 5 5 5 6 6 6 7 7 8 8 8 9 9 9 9 8 7 7 7 7 7 8 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 9 10 10 10 9 7 7 8 9 10 10 9 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 8 9 9 8 7 7 6 6 7 9 9 8 8 8 7 7 7 8 9 nan
nan 12 12 12 12 12 12 12 11 11 11 10 10 9 8 8 8 7 7 7 7 8 10 11 10 9 9 8 9 9 9 10 10 10 10 10 9 8 6 6 6 7 8 9 10 10 10 11 11 11 11 11 11 11 10 10 10 11 13 13 13 11 9 8 6 5 5 6 7 8 9 9 8 8 8 8 7 8 7 7 7 7 6 7 7 7 7 7 7 7 6 6 6 6 6 5 6 6 7 8 8 9 9 9 9 8 7 7 7 7 8 9 9 9 8 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 9 8 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 6 6 6 6 6 7 7 7 7 8 8 8 7 7 8 8 9 10 11 10 9 8 8 8 8 9 10 9 nan
nan 11 11 11 11 12 12 11 10 10 10 10 10 9 8 7 7 7 7 7 7 8 10 11 10 9 8 8 8 9 9 10 10 10 10 10 8 7 6 5 6 7 9 10 11 11 11 11 11 10 10 10 11 11 12 12 13 13 13 12 11 9 8 7 5 5 6 7 9 11 11 10 8 7 7 7 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 7 8 7 6 5 5 6 7 8 9 10 10 9 9 8 8 7 7 8 8 9 9 9 8 8 7 6 6 6 6 7 8 8 9 9 9 10 10 10 10 9 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 6 6 7 7 8 8 7 7 7 7 7 7 7 8 9 10 10 9 9 9 9 9 10 10 10 9 nan
nan 10 10 10 10 11 10 9 8 8 9 9 8 8 7 7 7 7 6 6 7 8 9 10 10 9 8 8 8 9 9 10 10 10 10 9 8 6 6 6 7 8 9 10 11 11 11 11 11 10 9 10 10 12 13 14 14 14 13 12 10 9 7 6 6 7 8 9 10 10 9 8 6 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 8 8 8 8 8 7 6 6 6 6 8 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 7 7 8 8 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 8 8 8 8 8 8 7 7 8 9 10 10 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 7 7 7 8 8 7 7 7 8 9 9 9 9 9 10 10 10 10 9 9 nan
nan 10 9 9 9 9 8 8 7 7 7 7 7 7 6 6 7 7 7 7 7 8 8 9 9 9 8 8 8 8 9 10 11 11 10 9 7 6 6 6 7 7 8 9 10 11 11 11 10 9 9 10 10 12 14 15 14 13 12 11 9 7 5 5 6 8 8 8 8 8 7 6 6 7 7 6 6 5 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 8 7 6 6 6 8 10 10 9 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 9 10 10 9 8 8 8 9 10 10 9 8 8 8 8 8 8 7 7 7 8 9 10 10 9 9 9 9 9 9 8 8 8 8 9 9 8 8 7 7 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 nan
nan 10 9 9 9 8 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 8 9 10 11 11 10 9 8 6 6 5 6 7 7 9 10 11 11 10 10 10 10 10 11 12 13 13 12 11 10 9 7 4 3 4 6 8 9 8 7 7 6 6 6 6 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 6 5 6 8 9 10 9 8 8 8 9 9 8 7 7 6 6 6 6 7 7 8 8 8 9 9 10 10 10 10 10 9 9 9 9 8 7 7 8 10 11 11 9 8 8 8 8 8 9 8 7 7 7 9 10 10 10 10 9 9 9 8 8 8 8 9 9 9 8 8 7 8 8 9 9 9 8 8 8 8 8 9 9 8 8 8 8 9 10 10 nan
nan 9 9 9 9 8 7 6 6 6 6 6 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 7 7 8 8 10 10 10 10 9 8 7 6 5 6 7 8 9 10 10 10 10 10 10 11 11 11 12 12 12 11 10 9 8 6 4 5 7 9 10 10 8 7 6 6 6 6 5 4 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 6 5 6 8 9 10 9 8 7 7 8 8 7 6 6 5 5 5 6 7 7 8 8 8 9 9 10 10 9 9 9 9 8 8 8 8 8 9 10 11 11 10 8 7 6 6 7 9 9 9 8 7 6 8 9 10 10 10 9 9 8 8 8 9 9 9 9 8 8 7 7 8 8 9 9 8 8 8 8 8 9 9 9 8 8 8 9 10 11 11 nan
nan 9 9 9 9 8 7 7 7 7 7 7 6 7 7 8 9 9 9 7 7 6 7 8 8 8 7 7 7 8 8 9 10 10 10 9 8 7 6 5 6 7 8 9 10 10 11 11 11 11 11 11 11 12 11 10 9 8 8 7 7 8 10 11 12 11 10 7 6 6 6 6 5 5 5 6 6 7 7 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 8 7 6 5 6 8 10 10 8 7 7 7 7 7 6 6 6 5 5 6 7 7 8 8 8 9 9 9 9 9 8 9 9 8 8 7 7 8 9 10 11 12 11 9 8 7 6 6 8 9 10 10 9 7 7 7 9 10 10 9 9 9 8 8 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 11 nan
nan 9 9 9 9 9 9 8 8 7 7 7 6 7 7 8 9 9 9 7 6 6 7 8 8 8 7 7 8 8 9 10 10 10 10 9 8 7 6 6 7 8 9 9 10 10 11 11 11 11 11 11 11 10 9 8 8 8 9 10 11 12 13 12 10 8 6 5 6 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 9 9 9 7 6 6 6 7 9 10 9 9 8 8 8 7 7 6 6 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 9 10 11 12 11 10 10 9 8 8 8 9 9 10 10 10 9 8 8 8 9 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 9 8 8 8 9 9 10 10 10 10 11 nan
nan 9 9 9 10 10 9 9 8 8 7 6 6 7 7 8 9 10 9 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 9 9 9 7 6 6 7 8 9 10 10 10 11 11 11 11 10 9 9 8 7 6 8 10 11 13 13 12 10 8 5 3 3 4 6 7 7 6 6 7 7 8 9 9 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 8 6 6 6 7 9 9 9 9 9 9 9 9 8 7 6 7 7 8 8 9 9 9 9 9 9 10 10 10 10 9 10 10 10 10 9 8 9 10 11 11 10 10 9 9 9 9 9 9 10 9 9 9 9 9 8 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 10 nan
nan 9 9 9 10 10 10 10 9 8 7 7 7 7 8 9 10 10 9 8 7 7 8 8 7 8 8 8 8 8 9 9 9 9 9 9 9 8 7 7 7 8 9 9 10 10 10 10 10 9 9 8 7 6 5 7 10 12 13 12 11 9 6 4 3 3 4 6 7 8 8 7 7 7 8 9 9 10 11 11 10 10 9 9 9 9 8 8 8 9 9 8 8 7 6 6 7 9 9 9 8 8 9 9 9 9 8 7 6 7 7 8 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 11 10 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 9 9 10 9 8 7 6 6 7 8 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 8 8 9 9 9 10 10 10 nan
nan 9 9 9 9 10 10 10 10 9 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 8 9 9 9 9 9 9 9 8 7 6 6 5 6 9 11 12 11 10 8 6 5 5 6 6 7 8 9 9 8 7 7 8 9 9 10 10 10 11 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 8 9 9 9 8 8 8 8 9 9 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 11 10 9 9 8 8 8 9 9 10 10 9 8 8 9 10 10 10 10 10 10 10 8 7 7 7 8 8 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 8 8 7 8 9 10 9 8 nan
nan 8 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 7 6 5 5 7 9 10 11 10 9 8 6 6 7 9 9 9 9 9 9 9 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 9 8 8 8 9 9 9 9 9 9 10 11 12 11 9 8 8 8 9 9 9 9 9 10 9 9 9 10 10 10 10 10 11 11 11 10 9 8 8 7 8 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 7 7 7 7 7 8 9 9 7 7 nan
nan 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 6 6 6 7 8 9 10 10 9 8 7 7 7 9 11 11 11 10 9 9 9 9 9 10 11 11 11 10 9 9 8 8 9 8 8 8 8 9 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 9 9 9 9 9 8 8 8 9 9 9 9 8 8 9 10 11 10 8 7 8 9 10 10 9 8 8 9 10 10 10 10 10 10 10 11 11 11 11 10 9 9 8 7 8 8 9 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 7 8 8 7 6 6 nan
nan 8 8 8 8 8 8 8 9 9 10 11 11 10 9 9 9 9 9 9 8 8 8 8 9 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 7 7 7 8 9 9 9 9 9 8 8 8 8 9 10 10 10 10 10 11 11 10 10 10 10 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 9 9 8 7 8 8 8 8 8 8 8 7 6 6 7 7 8 9 9 9 9 9 8 9 9 9 9 9 8 7 8 9 10 10 9 7 6 8 9 11 10 9 9 8 8 10 11 10 10 9 9 9 10 11 11 11 11 11 10 8 8 8 9 9 10 10 10 9 9 8 8 8 8 9 9 9 8 9 9 9 9 9 9 8 8 8 8 8 7 6 5 5 5 nan
nan 9 9 8 8 8 8 8 8 9 10 11 10 10 10 10 10 9 9 9 8 8 9 9 9 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 8 8 9 10 9 9 9 8 8 8 8 9 9 10 10 10 10 10 11 12 12 11 11 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 9 9 8 8 7 7 8 8 8 8 8 8 7 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 10 8 6 7 8 9 10 10 9 8 8 9 10 11 11 10 9 8 8 9 10 11 11 11 12 11 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 6 5 5 5 nan
nan 10 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 9 9 10 11 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 7 8 9 10 10 9 8 8 8 7 8 8 9 9 9 9 9 9 10 10 11 11 11 10 9 8 8 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 8 8 7 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 9 8 7 8 9 10 9 8 8 8 8 9 9 10 11 10 9 8 8 8 9 9 10 11 12 11 10 9 8 8 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 6 5 5 5 nan
nan 11 10 10 9 8 8 8 9 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 8 8 9 10 10 11 11 11 11 11 10 10 9 9 8 8 8 8 7 8 8 8 7 7 7 8 9 10 9 8 8 7 7 7 8 8 9 9 9 9 9 9 9 10 11 11 10 8 7 6 6 6 7 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 7 7 8 8 8 8 8 9 9 8 8 7 6 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 9 8 9 10 10 10 9 8 8 8 8 8 8 9 10 9 9 9 8 8 8 8 10 11 11 10 9 8 7 8 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 6 6 6 nan
nan 11 11 10 9 8 8 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 10 10 10 11 11 12 11 11 10 10 9 9 8 8 8 8 8 8 7 7 7 7 8 9 10 9 9 8 7 6 6 7 7 8 8 8 8 8 9 9 10 11 11 10 9 7 6 6 7 7 8 9 10 10 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 10 9 9 10 11 12 11 10 9 8 8 7 7 8 8 8 8 9 9 9 8 7 8 9 10 10 9 8 8 7 8 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 nan
nan 11 10 9 8 7 8 9 10 10 10 10 10 11 12 11 11 11 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 7 7 8 8 9 10 10 9 8 7 7 6 6 7 7 8 8 8 8 9 9 10 10 11 10 9 8 7 8 8 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 9 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 9 10 11 11 11 11 10 9 8 7 7 8 8 8 8 9 10 9 8 8 8 9 9 9 8 8 8 8 8 9 10 11 11 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 nan
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nan 12 13 13 13 13 13 14 14 14 14 14 14 15 15 14 13 12 11 10 9 9 9 10 10 10 9 9 9 9 9 9 8 8 7 7 8 9 9 8 8 9 9 9 9 8 8 8 9 9 9 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 8 7 7 7 7 7 8 8 9 10 10 11 11 10 9 8 8 8 8 9 10 10 10 11 10 10 10 10 10 10 10 11 11 10 10 9 9 8 8 7 8 8 7 5 2 -1 -1 0 3 6 9 10 11 14 18 19 19 18 16 14 12 10 9 9 10 11 11 12 13 13 11 9 7 8 8 7 5 0 -4 -4 -2 2 7 10 10 10 10 6 0 -4 -5 1 6 10 13 16 22 25 22 18 14 12 12 12 11 11 10 9 9 9 10 12 13 nan
nan 13 12 11 11 11 12 13 13 13 13 14 14 14 14 14 13 12 11 10 9 9 10 10 10 10 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 9 9 10 10 11 10 10 9 9 10 10 10 9 8 7 7 7 7 7 8 9 9 10 10 11 11 10 9 8 8 8 8 9 10 10 10 9 10 10 10 9 9 10 11 12 12 11 11 10 9 9 8 8 8 8 7 6 3 -0 -1 -1 2 5 8 10 11 13 17 19 21 21 18 14 12 10 9 9 11 12 11 11 11 11 10 9 9 9 10 10 9 5 2 2 3 5 9 10 9 7 5 0 -5 -7 -3 4 9 12 13 17 21 22 20 17 13 12 13 13 12 11 10 9 9 10 11 12 12 nan
nan 12 11 10 10 11 11 12 12 13 13 13 12 13 13 13 12 12 11 10 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 9 9 10 11 11 11 10 10 10 10 10 10 10 9 9 8 7 7 7 7 8 9 10 10 10 10 11 10 10 9 8 9 9 10 10 10 9 8 8 8 8 8 9 10 11 11 12 12 12 11 10 9 8 8 7 8 8 7 4 1 -1 -1 1 5 8 10 11 12 15 19 22 22 17 13 11 10 9 10 12 12 11 9 9 9 9 10 11 11 10 10 9 8 8 6 4 5 7 7 5 3 -1 -5 -7 -3 3 9 12 13 14 16 19 20 19 16 13 13 13 13 12 10 9 9 9 10 11 12 12 nan
nan 13 13 12 12 12 12 12 12 12 12 11 11 12 12 12 11 11 11 10 9 9 10 10 10 10 10 9 9 9 8 8 7 7 8 8 8 9 9 10 9 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 8 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 9 8 8 7 7 7 8 9 10 10 10 11 11 11 10 9 9 10 11 11 11 10 9 8 7 8 8 9 9 10 10 11 12 13 13 12 11 9 8 8 8 8 9 8 5 2 -1 -2 -0 4 7 9 10 11 14 18 22 21 16 13 11 10 9 10 11 10 9 7 8 8 10 12 12 11 10 9 10 10 10 9 6 6 7 6 4 2 -1 -2 1 5 10 13 14 13 13 14 15 15 15 14 14 14 14 13 11 9 9 9 9 11 12 12 13 nan
nan 14 15 15 15 14 14 13 12 11 11 11 11 11 11 10 10 10 10 10 9 9 10 10 10 10 10 9 9 9 8 7 7 8 8 8 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 10 10 10 11 11 11 10 10 10 11 11 11 11 9 8 7 8 9 10 10 9 10 10 12 12 13 12 11 10 9 8 9 9 10 9 6 3 -0 -2 -0 4 7 9 10 11 13 17 20 20 16 13 11 9 9 9 9 9 8 8 9 10 11 12 11 10 9 9 10 11 12 11 9 9 9 7 5 4 5 6 8 11 14 14 13 11 10 9 10 11 13 15 16 15 14 12 10 9 9 9 10 11 11 11 12 nan
nan 14 15 16 16 15 14 13 12 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 9 8 8 9 9 10 9 9 10 10 11 12 12 12 11 10 9 10 10 10 11 10 7 4 0 -2 -0 3 6 9 10 11 12 15 17 18 16 13 11 9 9 9 9 8 9 10 11 12 12 11 10 9 9 9 11 13 13 13 12 11 9 6 4 6 7 9 12 14 14 13 11 9 7 7 8 11 15 19 19 18 15 12 11 11 10 9 9 8 7 7 9 nan
nan 14 14 14 14 13 13 12 12 11 10 10 9 10 11 12 12 12 11 11 11 11 11 10 10 10 10 10 9 9 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 11 10 10 10 10 11 11 11 10 9 5 -0 -3 -1 2 6 9 10 11 11 12 15 18 17 15 11 9 9 9 9 9 10 11 11 11 11 10 10 10 10 11 12 13 13 13 12 10 7 2 1 4 7 10 13 14 13 10 8 6 7 8 10 13 17 20 21 19 16 13 12 10 8 5 2 -1 -1 3 8 nan
nan 13 13 12 12 12 12 12 11 10 10 10 11 11 12 13 13 12 12 12 12 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 11 11 11 10 9 9 9 9 9 9 10 10 9 9 10 11 11 11 11 12 11 10 10 10 11 11 11 11 11 11 9 5 -1 -4 -2 2 6 10 10 10 10 11 14 18 19 17 13 10 9 10 11 10 10 10 10 11 11 10 10 10 10 11 12 12 12 11 10 8 3 -1 -1 3 7 11 13 12 9 7 6 6 8 10 11 13 16 19 22 21 17 13 9 5 2 -2 -6 -6 -3 7 13 nan
nan 13 12 12 12 11 11 10 9 9 10 11 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 8 7 7 8 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 10 10 10 9 9 10 9 9 9 9 10 11 11 10 10 9 9 9 10 10 11 10 10 10 9 8 8 9 9 10 10 10 10 10 10 10 10 10 11 12 11 11 11 12 13 12 10 9 7 6 5 2 -2 -3 -1 3 8 10 10 10 9 9 12 17 20 18 14 10 10 11 11 10 9 10 10 10 10 10 10 10 10 10 11 11 10 9 8 5 1 -2 -1 3 8 11 10 8 6 5 6 8 10 11 12 13 15 20 23 23 18 10 2 -2 -4 -5 -5 -1 8 17 20 nan
nan 12 12 12 11 11 10 10 9 10 11 12 12 12 12 12 12 13 12 12 11 11 11 11 10 10 10 10 9 9 9 9 9 8 8 8 7 7 8 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 8 8 9 9 10 11 11 11 10 10 10 10 10 10 9 8 8 8 9 10 11 11 11 11 11 10 11 11 11 10 10 9 9 9 9 9 9 10 11 11 10 10 10 10 10 9 10 11 11 12 12 13 14 14 13 11 7 2 0 -0 -1 -2 -1 2 6 9 10 9 9 8 8 12 16 18 17 13 9 9 9 8 7 9 10 10 10 9 9 9 9 9 10 10 10 8 8 6 4 1 -1 1 4 8 8 6 5 5 6 8 10 12 13 13 13 16 21 25 24 15 4 -3 -5 -3 -1 3 8 17 23 24 nan
nan 12 12 12 12 12 11 10 10 10 11 12 12 11 11 12 12 13 12 12 11 11 11 11 10 10 10 10 9 9 9 9 9 8 8 7 7 8 9 9 10 11 11 12 12 12 12 11 11 11 10 10 10 9 9 9 8 8 8 8 9 9 10 10 11 11 10 10 10 11 11 11 9 8 7 7 8 9 10 11 12 12 11 11 11 11 11 10 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 11 12 13 13 14 14 14 13 12 8 4 1 -1 -2 0 4 8 8 8 8 8 8 8 8 10 13 14 13 10 7 5 3 4 8 11 12 11 9 9 9 9 9 10 10 10 9 8 8 7 6 3 1 1 3 5 4 3 4 6 9 11 12 13 13 13 15 19 24 26 19 7 -2 -5 -2 3 6 8 12 18 22 24 nan
nan 10 11 12 12 12 12 11 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 11 10 10 10 9 9 9 9 9 9 8 7 7 7 8 9 10 10 11 11 12 12 12 12 11 11 10 10 10 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 11 11 11 11 10 9 8 7 8 9 10 11 11 11 11 11 11 11 11 10 9 8 8 9 10 10 10 11 11 11 11 11 11 10 10 10 10 11 12 12 12 13 13 13 13 12 11 8 5 1 -2 2 9 12 11 7 5 6 7 8 8 9 9 9 9 8 6 3 2 6 13 15 14 12 11 11 11 10 10 11 11 10 9 9 9 9 8 4 0 -1 0 1 2 4 6 9 11 13 13 14 13 15 18 23 26 22 10 1 -3 -2 4 7 9 10 13 18 23 27 nan
nan 9 10 11 12 12 11 11 10 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 10 10 10 9 9 9 9 9 8 7 7 7 8 8 9 10 11 11 11 12 11 11 11 11 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 8 8 8 8 10 10 11 11 11 11 12 12 12 10 9 8 8 9 10 10 11 11 12 11 11 11 10 9 9 10 10 11 11 11 11 11 12 12 12 12 12 10 7 2 -2 3 11 13 10 4 2 4 7 8 8 8 8 8 9 8 6 5 5 12 18 17 15 13 13 14 13 12 12 11 11 10 9 9 10 9 7 1 -4 -4 -3 1 4 7 10 12 13 14 14 14 14 17 21 24 23 12 1 -2 -1 4 8 9 10 11 15 21 27 30 nan
nan 9 9 10 11 11 11 11 10 11 11 12 12 11 11 11 11 11 12 11 11 11 11 10 10 10 10 9 9 9 9 8 7 7 7 7 8 9 9 10 11 11 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 10 9 8 8 8 8 9 10 11 11 12 12 12 12 11 10 9 9 9 9 9 10 10 11 11 11 11 11 10 9 9 10 10 11 10 10 10 10 10 11 12 12 12 11 9 5 2 5 9 9 6 1 1 4 7 8 9 8 8 9 9 8 7 7 10 15 16 15 14 14 15 14 13 12 12 12 11 10 8 6 5 3 -1 -7 -8 -6 -1 5 9 11 13 14 14 14 14 14 15 17 19 19 12 2 -3 -2 3 8 10 10 11 14 19 26 30 29 nan
nan 9 9 10 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 10 11 11 10 10 10 9 9 8 8 7 6 7 8 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 10 9 8 7 7 7 8 9 10 11 11 12 12 12 11 11 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 9 7 7 6 4 2 1 3 6 8 8 8 8 8 8 8 8 8 8 11 13 13 13 15 16 15 14 12 12 12 12 10 7 3 -0 -3 -5 -7 -8 -6 -1 5 10 12 13 14 15 15 15 16 16 16 16 15 12 5 1 1 4 8 10 11 12 14 19 26 30 31 26 nan
nan 10 11 11 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 10 10 11 11 11 11 10 10 9 8 7 7 7 7 8 10 10 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 7 7 7 7 8 9 10 10 11 12 12 12 11 11 10 11 11 10 9 8 8 8 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 11 10 9 7 4 0 0 3 6 8 9 9 8 8 8 8 8 8 9 10 10 11 11 14 18 19 17 15 13 12 10 7 3 -0 -4 -6 -6 -4 -2 0 4 7 11 13 14 14 15 15 17 19 21 21 19 16 14 10 7 6 6 8 10 11 12 15 20 27 31 32 28 21 nan
nan 10 11 12 13 13 12 12 12 12 12 12 11 10 10 9 9 10 10 10 10 10 11 12 12 12 12 11 10 9 8 7 7 7 8 10 11 11 11 11 11 11 11 10 10 9 9 9 9 8 8 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 8 9 9 10 10 11 12 12 12 12 12 12 11 10 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 7 4 1 2 6 8 9 10 10 10 9 8 8 8 9 10 10 10 10 11 15 20 20 18 16 12 7 2 -1 -4 -5 -4 -3 0 4 7 9 10 12 13 14 15 16 17 19 22 26 27 24 20 17 14 11 9 8 8 10 11 13 16 22 28 31 31 27 20 15 nan
nan 11 12 12 12 13 13 12 12 12 12 11 11 10 9 8 8 9 9 10 9 10 11 12 12 12 12 12 11 10 9 8 8 8 9 10 11 12 12 12 12 11 11 10 10 9 9 9 8 8 8 9 9 9 8 8 8 8 9 9 9 9 10 10 10 9 9 9 10 10 11 10 9 8 7 6 7 7 8 8 9 10 10 10 10 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 9 10 10 10 10 10 9 6 6 8 11 12 11 12 12 11 9 7 7 9 10 11 11 11 11 12 15 17 18 17 15 8 2 -1 -2 -1 2 4 7 9 12 13 13 13 14 15 18 20 22 23 25 27 29 26 21 16 12 8 5 5 6 9 11 13 16 22 28 31 29 24 18 13 11 nan
nan 12 12 12 12 13 13 13 13 12 12 11 11 10 8 7 8 8 9 9 9 10 11 12 12 12 13 13 12 11 10 10 9 9 10 10 11 11 12 12 12 11 11 10 10 9 9 9 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 8 7 7 7 7 8 8 9 9 9 9 9 10 10 11 10 10 9 9 9 10 10 9 9 9 10 10 9 9 9 10 10 10 10 9 9 8 7 7 8 9 10 10 10 10 10 10 10 11 12 13 12 12 13 12 9 6 5 9 12 13 13 12 12 13 14 15 17 19 20 17 10 7 6 8 11 13 14 16 18 18 18 15 15 17 20 22 23 23 23 23 22 19 14 10 6 4 1 0 3 8 12 15 18 23 28 30 27 22 16 12 11 11 nan
nan 11 11 12 12 13 13 13 12 12 12 11 11 9 7 7 8 8 8 8 9 10 11 11 12 13 13 14 13 13 12 11 11 10 10 11 11 11 12 12 12 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 9 9 10 9 9 9 9 9 9 10 10 9 9 9 10 10 10 9 9 9 10 10 9 9 10 10 10 10 9 9 8 7 7 8 9 10 10 11 10 10 11 11 11 12 12 11 10 11 11 10 7 5 8 14 17 17 16 14 14 16 18 21 24 27 28 23 18 17 17 18 19 19 20 20 21 19 15 11 12 15 18 18 16 14 13 11 8 5 5 5 6 6 5 8 13 16 19 22 24 27 29 26 21 16 12 11 11 11 nan
nan 11 11 12 12 12 11 11 11 11 11 11 10 9 8 8 8 8 8 8 9 10 10 11 12 12 13 14 14 13 13 13 12 11 11 11 11 11 12 12 12 11 10 10 9 9 9 8 8 8 8 9 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 10 10 9 9 9 10 11 11 11 10 10 10 11 11 10 9 9 8 9 9 10 10 9 9 9 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 10 10 10 10 11 11 12 12 11 10 9 8 9 9 9 8 9 13 17 19 18 16 15 16 19 23 27 29 30 28 24 21 20 20 20 19 18 18 16 14 10 5 2 6 10 13 11 9 9 8 7 6 7 12 15 18 16 16 18 20 22 23 24 25 25 22 18 15 12 11 11 11 11 nan
nan 12 12 12 12 11 10 11 11 11 10 10 9 9 9 9 9 8 7 8 9 9 10 11 11 12 12 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 9 9 9 8 8 8 9 9 9 8 8 8 10 12 12 12 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 9 9 9 10 10 10 10 10 11 11 12 11 11 10 9 8 8 8 9 9 10 11 14 15 15 14 13 13 16 18 21 24 24 23 20 17 16 16 15 15 14 13 10 8 6 4 3 5 10 14 17 17 16 16 16 16 17 20 23 25 23 19 18 17 17 18 19 19 18 17 14 12 11 11 11 11 10 9 nan
nan 12 12 12 11 11 11 11 11 10 10 9 9 10 10 10 9 8 7 8 9 9 10 10 11 12 12 12 13 13 12 12 12 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 9 9 8 8 8 8 9 8 7 7 8 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 8 8 8 9 9 10 10 11 10 10 10 10 9 9 8 8 9 9 10 10 10 10 10 10 11 11 11 11 11 10 8 7 7 7 7 8 9 10 11 11 11 11 11 11 12 13 14 15 16 16 15 13 11 10 10 10 10 10 10 8 7 8 10 13 15 18 22 23 23 22 21 20 21 22 23 23 21 17 14 13 12 12 12 13 13 12 11 11 11 11 11 11 10 10 7 nan
nan 12 12 12 11 11 11 11 10 10 9 9 9 10 10 10 9 8 8 8 9 10 10 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 9 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 9 8 8 8 8 8 9 10 11 11 11 11 10 10 9 9 8 8 9 10 10 10 10 10 10 10 11 11 11 10 9 7 5 4 3 3 5 7 9 10 10 10 11 10 10 11 11 11 11 12 12 11 9 8 7 7 8 9 10 11 12 11 11 13 15 16 17 18 19 20 19 18 16 16 16 17 16 15 13 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 nan
nan 11 11 11 12 11 11 11 10 10 9 9 9 10 9 9 8 8 9 9 10 10 11 11 11 11 11 11 11 11 12 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 8 7 8 9 10 11 12 11 10 9 9 9 10 10 10 10 10 11 11 11 11 9 8 7 6 5 6 8 9 10 11 11 11 11 10 9 9 8 8 9 10 10 10 10 9 9 10 10 10 10 8 5 0 -2 -4 -5 -3 2 5 8 9 9 10 10 10 10 10 10 10 11 11 10 7 3 1 3 7 11 13 13 14 13 13 12 12 12 13 13 13 13 13 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 nan
nan 10 11 12 12 12 12 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 12 12 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 8 8 9 10 12 14 14 13 11 10 9 9 9 9 9 9 9 10 11 11 10 8 6 4 2 1 3 6 8 10 11 11 11 11 11 10 9 8 8 9 9 10 10 9 8 9 9 10 9 7 3 -3 -8 -9 -8 -6 -2 3 6 8 8 8 9 9 9 7 6 6 7 9 9 7 1 -5 -4 3 11 18 20 17 15 13 12 11 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 nan
nan 12 13 13 13 13 12 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 8 8 8 8 9 10 12 14 14 13 12 11 10 9 8 7 7 7 7 9 10 9 8 5 3 1 -1 0 3 6 8 9 10 9 9 9 9 10 9 8 9 9 10 10 9 8 8 8 8 8 6 2 -4 -10 -11 -8 -4 1 5 7 8 9 9 9 9 8 6 3 1 1 5 8 7 4 -4 -7 -1 9 19 26 24 19 14 12 11 11 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 nan
nan 13 14 14 13 13 12 12 12 12 12 12 11 10 10 9 9 10 10 11 11 11 11 11 11 10 10 10 10 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 9 10 11 11 11 12 13 13 12 9 7 6 5 5 5 7 8 8 6 4 2 1 2 4 7 9 9 10 8 7 6 5 6 8 9 9 10 10 10 9 7 6 5 4 3 1 -1 -5 -8 -9 -6 -1 4 8 9 9 10 10 11 11 10 9 6 3 2 3 7 9 7 4 -1 1 9 18 26 29 26 20 15 12 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 11 11 12 12 nan
nan 13 13 13 13 12 12 12 13 13 13 13 11 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 8 9 9 9 9 10 10 9 10 10 12 13 13 10 7 6 5 5 6 8 8 8 6 3 1 2 5 8 10 11 11 11 9 7 5 5 6 7 8 10 11 12 11 8 5 3 1 -0 -2 -3 -5 -5 -5 -2 2 6 9 10 10 10 11 11 11 12 11 10 9 8 8 9 11 11 10 8 8 13 20 26 30 28 24 19 14 12 11 11 11 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 nan
nan 11 11 12 11 11 12 12 13 13 12 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 7 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 10 11 12 11 9 8 7 7 8 9 8 8 6 4 4 5 8 10 11 11 11 11 11 10 9 9 9 9 10 11 12 13 11 8 5 3 2 1 1 1 1 1 3 5 7 9 9 10 11 11 11 12 12 12 12 12 11 11 12 12 12 12 12 12 15 20 25 29 29 24 20 16 13 11 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
0 0 0 0 0 0 1 3 5 8 9 10 11 12 12 11 8 6 6 6 6 6 7 10 16 19 15 11 8 6 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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