Vorticity
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nan 6 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 7 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 6 7 7 7 7 7 7 7 9 11 11 10 9 9 10 11 12 12 12 10 8 7 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 5 6 6 6 6 6 6 6 6 7 7 7 6 6 6 5 6 6 6 5 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 5 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 6 nan
nan 6 7 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 10 10 9 9 8 7 6 6 6 7 7 7 7 7 7 8 10 11 10 9 9 9 10 11 12 12 11 10 8 7 6 6 6 6 6 6 6 6 6 5 5 4 4 4 5 5 5 6 6 6 6 5 6 6 7 7 6 6 5 5 6 6 6 5 5 5 5 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 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 7 7 8 8 8 8 8 8 7 7 7 6 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 8 8 9 9 9 9 9 9 8 8 8 9 8 8 8 8 9 9 9 9 8 7 6 6 6 7 7 7 7 7 8 9 11 11 9 9 9 9 10 11 12 12 11 10 8 7 6 6 6 6 6 6 6 6 6 5 4 4 4 4 5 5 5 6 6 5 5 6 6 6 6 6 6 5 5 5 6 6 5 5 5 5 5 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 8 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 6 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 7 7 7 7 7 8 8 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 9 10 10 9 7 7 7 6 6 7 7 7 7 8 9 11 11 10 9 9 9 10 11 12 13 13 11 10 8 7 7 7 6 6 6 7 6 6 5 5 4 4 4 5 5 5 5 6 6 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 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 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 nan
nan 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 6 7 7 8 8 9 9 9 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 6 7 8 10 10 9 7 7 7 7 6 6 6 7 7 8 9 10 11 11 10 9 9 9 10 12 13 13 13 12 10 8 7 7 7 6 6 7 7 6 6 5 5 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 5 5 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 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 nan
nan 8 8 8 8 8 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 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 8 8 9 10 10 10 9 9 9 9 8 8 7 7 7 8 10 9 8 7 7 7 7 6 6 6 7 7 8 8 9 11 12 12 11 10 9 10 11 12 14 14 14 12 10 8 7 7 7 7 7 7 7 7 6 5 5 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 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 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 nan
nan 8 8 8 8 8 7 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 9 10 10 10 9 8 9 9 9 8 7 7 7 8 8 9 8 7 7 7 6 6 6 7 7 7 7 8 8 9 11 12 12 11 10 10 10 12 13 14 15 14 12 10 8 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 5 5 5 5 5 5 5 5 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 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 nan
nan 8 8 7 7 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 10 10 9 9 8 8 9 9 9 9 9 8 8 8 9 9 9 8 8 7 6 6 6 6 7 7 8 8 8 7 7 7 8 9 10 9 9 8 9 9 9 8 7 7 6 6 7 8 8 8 7 7 7 6 6 6 7 7 7 7 8 8 9 10 12 12 12 11 11 12 13 13 14 15 14 12 10 8 7 7 7 7 7 7 6 6 6 5 5 5 5 5 6 6 6 5 6 5 5 5 5 5 5 6 5 4 4 4 4 4 4 5 5 5 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 6 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 nan
nan 8 8 7 7 8 8 9 9 9 8 8 8 8 8 9 9 9 10 10 9 9 10 10 10 10 9 8 7 7 8 7 7 7 7 7 8 8 8 8 7 6 5 4 4 4 5 6 6 7 7 7 7 7 8 9 9 9 9 8 8 8 9 8 8 7 7 7 6 7 8 8 8 8 7 7 6 6 6 7 7 7 7 7 8 8 9 10 11 12 12 12 12 13 12 13 14 15 14 12 9 8 7 7 7 7 7 6 6 6 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 6 5 5 4 4 4 4 4 4 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 5 5 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 nan
nan 9 8 8 8 8 9 9 10 9 9 8 8 8 8 9 9 10 10 10 10 9 10 10 10 9 8 7 6 6 5 5 5 5 6 6 7 7 6 6 6 5 5 5 5 5 5 5 6 6 6 6 7 8 8 8 9 9 9 8 8 7 7 7 7 8 8 7 7 7 7 8 8 8 8 7 7 6 6 6 7 7 7 7 7 8 8 9 9 10 11 12 12 13 13 12 14 15 15 14 11 9 8 7 7 7 7 7 6 6 5 5 5 5 5 6 6 6 7 6 6 5 5 5 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 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 6 6 6 5 nan
nan 9 8 8 7 8 8 9 9 9 8 7 7 7 7 8 8 9 9 9 9 8 8 8 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 6 6 7 7 8 8 8 8 9 9 8 7 7 7 7 8 8 9 8 8 7 7 8 8 9 8 8 7 7 6 6 7 7 7 7 7 7 8 8 8 9 9 9 11 12 13 13 13 14 15 15 13 11 9 8 8 7 7 7 7 6 6 6 5 5 5 6 6 6 7 6 6 6 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 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 5 5 5 5 5 5 6 6 6 5 5 nan
nan 8 8 7 7 7 7 8 8 7 7 6 6 6 6 6 7 8 8 8 8 7 7 7 7 6 6 6 6 6 7 7 7 6 6 5 5 5 5 5 6 7 7 8 8 9 9 9 9 8 7 7 8 8 8 7 7 8 8 8 7 7 7 7 8 9 9 9 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 6 6 7 7 7 7 8 8 8 9 11 12 13 14 15 15 16 15 13 11 10 9 8 8 7 7 7 6 6 6 6 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 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 5 5 5 5 5 6 6 5 5 5 5 5 5 6 5 5 5 5 nan
nan 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 6 6 6 6 6 7 7 8 9 10 10 10 9 8 7 8 8 8 8 7 7 7 8 9 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 8 7 7 7 7 7 7 7 6 6 6 6 7 7 7 8 8 8 9 10 12 15 16 16 17 16 15 13 12 11 10 9 9 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 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 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 nan
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nan 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 7 5 5 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 9 10 10 9 8 7 5 5 5 6 7 7 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 7 7 7 8 9 9 9 8 7 7 7 7 7 7 6 7 7 6 6 6 6 6 7 7 7 8 9 12 15 17 16 15 14 14 15 17 17 16 14 11 10 9 9 8 8 8 8 8 8 7 7 6 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 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 6 6 7 7 8 7 7 7 7 7 7 8 8 9 8 6 6 6 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 8 9 9 10 9 8 7 6 6 6 6 6 6 7 8 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 7 7 7 8 8 9 9 9 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 8 9 11 14 15 14 13 12 14 16 18 18 16 14 13 12 11 10 9 9 9 8 8 7 7 6 6 6 6 5 5 5 5 5 5 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 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 nan
nan 6 5 5 5 6 7 7 6 6 6 7 7 8 9 9 8 7 7 7 7 7 7 7 7 6 7 7 7 7 8 8 7 7 7 7 7 9 10 10 10 9 8 7 6 5 5 5 5 7 8 9 9 9 9 8 8 9 8 8 8 8 8 8 8 8 7 8 8 8 8 7 8 7 7 7 7 8 8 8 7 7 7 7 6 6 6 6 7 7 7 7 7 7 6 6 6 7 7 9 12 14 14 12 11 11 14 16 18 17 16 15 14 13 12 11 10 10 9 8 8 7 7 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 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 5 nan
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nan 7 5 4 3 4 5 6 7 7 7 7 8 10 11 11 10 9 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 9 10 11 11 10 9 8 7 7 7 7 7 8 9 10 9 8 7 7 7 8 8 8 9 9 9 9 9 8 8 8 9 10 10 9 9 8 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 9 11 12 13 12 12 12 15 17 18 17 15 14 13 13 13 12 11 10 9 8 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 6 5 4 3 3 4 6 6 7 7 7 8 9 10 10 9 8 7 8 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 10 11 11 10 9 9 8 9 9 9 10 10 11 10 8 7 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 10 9 9 9 10 10 9 9 9 8 8 7 8 8 9 8 8 8 8 7 6 6 6 7 6 6 6 6 7 8 9 10 11 12 12 13 15 17 19 19 17 15 13 11 10 10 10 10 9 8 8 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 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 5 5 5 nan
nan 6 6 5 4 3 4 6 7 7 8 8 8 8 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 7 7 7 8 9 10 11 11 10 10 9 10 10 10 10 10 10 10 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 7 8 9 9 9 9 9 8 7 6 6 7 7 6 6 7 7 8 8 8 9 10 11 12 13 15 18 20 20 18 15 12 10 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 nan
nan 8 7 6 5 4 5 6 7 8 8 8 8 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 8 9 11 12 12 11 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 9 9 9 9 9 8 7 7 6 7 7 7 7 8 8 7 7 7 7 8 9 10 12 15 19 21 20 18 15 12 11 10 10 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 nan
nan 10 9 8 6 5 5 6 7 8 9 9 10 10 9 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 7 7 7 8 8 8 7 6 6 6 7 8 10 11 12 12 12 12 11 10 9 8 8 8 9 9 9 10 9 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 8 8 8 7 6 5 5 6 7 8 9 12 16 19 21 20 18 15 12 11 10 10 10 10 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 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 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 11 10 9 7 5 5 6 7 8 9 10 10 9 9 8 7 6 7 8 8 8 7 7 7 7 7 7 8 9 8 8 7 8 8 8 8 7 7 6 5 5 5 7 9 11 12 12 11 10 9 8 7 6 7 7 8 8 8 8 9 9 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 9 9 9 9 8 8 8 9 10 9 8 8 7 7 7 7 8 8 7 7 6 6 5 5 6 7 8 10 12 16 20 22 22 19 14 11 10 10 11 11 10 9 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 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 5 5 5 5 5 5 nan
nan 11 11 9 7 5 5 6 7 8 9 10 10 9 8 8 7 6 7 7 8 7 7 7 7 6 6 6 7 8 8 8 8 7 7 7 7 8 8 7 6 5 4 4 7 9 10 11 11 11 10 8 6 5 5 5 5 5 6 6 7 9 10 10 11 10 10 9 9 9 8 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 9 8 8 8 7 7 8 8 7 7 6 6 6 6 6 6 7 8 9 12 17 21 24 24 20 15 11 10 10 10 10 9 9 8 9 9 9 9 9 9 8 8 8 8 8 7 7 6 6 6 6 6 7 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 5 5 5 6 6 6 6 5 5 5 5 5 5 nan
nan 11 10 9 8 7 6 6 7 9 9 9 8 8 7 8 7 6 6 7 8 7 7 7 7 6 6 5 5 6 6 7 7 7 7 7 7 9 9 9 8 7 5 5 5 7 9 10 11 11 10 8 6 5 4 4 4 4 4 4 5 7 9 10 11 10 10 10 9 8 7 7 7 8 8 8 9 9 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 7 7 6 6 5 6 6 7 8 9 12 17 22 25 25 21 16 13 11 11 11 11 10 9 9 9 9 9 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 6 6 6 6 6 5 5 5 5 6 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 nan
nan 11 11 10 9 9 8 7 8 9 9 9 8 7 8 8 7 6 6 6 7 7 7 7 8 7 7 6 5 5 6 6 6 6 7 7 7 8 9 10 10 9 8 7 6 7 9 10 11 10 9 7 6 6 5 5 4 4 4 4 4 5 6 8 9 9 10 10 9 8 7 7 8 8 8 8 9 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 10 9 9 9 9 8 8 8 7 7 7 7 7 6 6 6 7 7 7 8 9 12 16 21 24 24 22 18 16 17 17 17 15 13 10 9 9 9 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 6 6 nan
nan 11 11 10 10 10 9 8 9 9 9 9 9 8 8 8 7 5 5 5 7 8 8 8 8 8 8 7 7 6 7 6 6 6 6 6 6 7 8 9 10 10 10 8 8 8 9 10 11 10 8 7 6 6 6 6 6 6 6 5 4 4 4 5 6 7 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 8 8 8 9 10 10 10 10 9 9 8 8 8 7 7 6 6 6 7 8 8 8 8 8 9 10 12 16 20 22 23 22 20 21 23 24 23 20 15 12 10 10 9 8 8 8 8 8 7 7 7 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 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 10 10 10 10 10 9 9 9 8 8 9 9 10 9 8 7 6 4 5 7 8 9 10 9 9 8 8 8 8 8 8 7 6 6 5 5 5 6 8 9 10 10 10 9 9 9 10 10 9 8 6 6 6 7 8 8 8 7 6 5 4 4 4 4 4 5 6 8 9 9 10 9 9 8 8 8 8 9 9 9 9 8 9 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 8 8 7 7 7 7 7 8 8 7 8 8 8 9 10 12 15 18 20 20 19 19 20 23 26 25 21 16 13 11 10 10 9 9 8 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 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 6 6 6 6 6 nan
nan 8 9 9 9 9 9 8 7 7 6 6 7 8 9 9 8 7 6 6 7 9 11 11 11 10 9 9 9 9 9 9 9 8 6 5 4 4 5 6 7 9 10 10 9 9 9 10 11 10 8 6 5 6 7 8 8 8 8 8 7 6 6 5 4 3 3 4 6 8 10 11 11 10 9 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 8 8 9 9 9 10 10 10 10 10 9 9 8 9 8 8 7 7 7 6 7 8 8 8 8 9 12 14 16 16 16 15 15 17 21 23 22 19 17 14 13 12 11 10 9 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 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 6 6 6 6 nan
nan 8 9 9 9 8 7 6 6 5 5 4 5 6 7 8 9 9 9 8 8 10 11 11 11 11 11 11 10 10 10 10 9 9 8 6 5 5 5 5 6 7 8 8 8 8 8 10 11 11 9 7 6 6 6 7 7 8 8 9 9 9 8 7 5 3 2 3 4 6 9 11 11 11 11 10 9 8 7 8 8 8 8 8 8 8 8 8 9 10 9 9 9 8 9 9 10 10 10 10 10 10 10 10 9 9 8 7 6 6 7 7 7 7 7 7 9 11 13 13 14 14 15 16 17 18 19 19 18 17 16 15 14 12 11 9 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 8 7 7 7 7 7 7 7 6 6 7 7 7 6 6 6 6 6 6 7 7 7 7 7 6 6 7 6 6 6 6 6 7 7 nan
nan 9 9 9 9 8 7 6 6 6 5 5 4 5 5 7 9 11 11 10 9 9 9 10 10 11 11 11 10 10 10 9 9 9 8 8 7 6 6 5 5 5 6 6 7 6 6 8 11 11 10 8 7 7 7 6 6 7 8 9 10 10 10 10 8 7 5 4 4 5 7 9 10 11 12 11 10 9 8 7 8 8 8 9 9 8 8 8 8 10 10 10 9 8 8 9 9 10 10 10 11 11 11 10 10 9 9 8 7 7 7 7 7 7 7 7 7 9 10 11 13 15 17 17 16 15 16 17 17 17 17 18 17 15 13 11 10 8 8 7 6 6 6 6 6 6 7 7 7 7 8 8 8 8 7 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 7 7 7 7 7 7 nan
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nan 11 10 9 8 9 10 10 11 11 10 9 8 7 7 8 9 10 10 9 7 6 6 6 7 8 8 9 9 9 10 10 10 10 10 10 9 9 9 8 6 5 5 6 6 7 7 7 9 11 12 12 12 11 9 8 6 6 6 6 6 7 8 9 9 10 9 8 8 7 6 5 6 9 11 12 11 10 9 9 8 8 9 9 9 9 9 9 8 8 9 10 9 8 8 8 9 9 9 10 11 12 12 12 11 10 10 9 9 8 8 8 7 7 7 7 8 8 9 10 12 14 14 13 12 13 16 18 16 15 15 16 18 19 19 17 15 13 11 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 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 7 7 7 7 7 6 nan
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nan 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 11 10 11 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 10 9 9 9 9 10 10 10 9 9 10 11 11 11 11 11 11 11 12 12 11 11 10 9 9 8 9 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 7 8 8 9 9 10 9 9 9 9 10 10 10 9 9 9 9 10 11 11 12 12 13 13 14 14 14 14 14 13 12 12 12 11 11 11 10 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 nan
nan 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 11 11 11 11 11 10 9 8 9 9 10 11 11 12 12 12 11 11 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 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 9 10 11 12 14 15 16 15 14 13 13 12 12 11 10 9 7 7 7 7 8 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 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 9 9 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 10 10 11 12 12 12 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 10 10 9 9 9 9 9 8 8 8 8 8 7 8 8 9 10 10 10 10 10 10 10 10 10 9 8 5 4 5 6 7 8 9 11 12 11 11 12 13 13 11 9 8 7 7 6 7 8 9 10 10 10 11 11 12 12 12 12 11 11 11 10 10 10 10 nan
nan 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 10 10 10 10 11 12 12 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 10 10 10 10 10 10 10 10 9 9 8 7 7 7 8 9 9 10 10 10 10 10 10 10 10 10 8 6 5 6 7 7 7 8 8 8 7 8 10 11 11 9 7 6 6 6 7 8 9 10 11 12 12 12 13 13 14 14 13 13 12 12 12 11 11 11 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 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 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 7 7 7 8 9 9 9 10 10 11 11 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 11 11 11 10 9 8 8 7 8 8 8 9 9 9 10 9 9 9 9 9 10 9 9 9 9 10 11 11 11 11 10 9 10 11 11 9 7 6 6 7 7 8 10 11 11 12 13 13 14 14 15 15 15 14 14 13 13 12 12 11 11 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 11 10 9 9 8 7 6 6 6 6 7 7 7 8 9 9 9 9 10 10 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 9 9 9 9 9 10 10 11 11 11 11 10 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 10 10 10 10 11 12 13 13 13 13 13 13 14 13 11 10 10 10 10 11 11 11 12 12 13 14 14 16 17 17 15 14 13 13 12 12 12 11 11 11 nan
nan 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 12 12 12 13 14 15 16 17 17 18 19 18 15 12 11 11 10 8 6 6 6 7 7 6 6 7 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 9 8 8 8 8 9 9 9 8 8 8 9 10 10 10 9 9 9 10 10 11 11 10 9 9 9 8 8 8 9 9 9 10 10 9 8 8 8 9 9 10 10 10 10 10 11 12 13 13 13 15 16 15 14 14 14 14 15 15 15 14 13 13 13 14 14 16 17 15 13 12 11 10 10 11 11 11 11 11 nan
nan 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 11 11 11 10 10 10 10 10 11 10 9 9 9 9 9 10 9 9 8 8 8 9 9 9 10 10 10 10 10 11 11 11 11 11 12 12 14 15 16 17 18 19 20 22 23 23 21 19 17 17 16 14 10 8 7 7 8 7 6 7 8 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 9 9 9 10 11 11 10 10 9 8 9 10 11 11 10 10 9 9 9 9 9 9 9 10 11 11 11 10 8 8 8 9 9 9 10 10 9 10 10 11 11 12 12 12 11 12 12 13 14 16 16 16 15 15 15 16 15 14 14 14 11 10 10 10 10 10 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 12 14 14 14 12 11 11 10 10 9 9 9 9 9 10 10 9 8 7 7 7 8 8 9 9 9 9 9 10 10 11 11 11 10 10 9 10 12 14 15 15 15 15 17 19 20 21 21 21 21 21 21 20 17 13 10 10 9 8 7 7 8 9 10 11 12 12 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 10 10 9 9 9 10 11 11 10 10 10 9 10 10 9 9 10 10 11 12 12 11 9 8 8 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 9 10 12 12 13 13 14 15 17 17 15 14 14 13 12 12 12 12 13 13 12 11 10 10 10 nan
nan 10 11 11 11 11 12 12 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 13 14 16 17 17 16 14 12 11 9 8 8 8 9 10 10 9 8 7 6 6 6 7 8 8 8 8 8 9 9 9 9 9 9 8 7 6 5 6 8 10 10 10 11 12 13 14 14 14 15 16 19 20 21 20 19 16 15 14 11 8 6 7 9 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 11 11 10 10 10 9 10 10 11 11 11 10 10 9 9 10 11 11 11 11 11 11 11 12 11 10 9 9 9 9 9 9 8 8 9 9 10 9 9 8 7 7 8 9 10 10 10 10 11 12 14 15 14 14 15 16 16 15 13 11 11 11 11 10 9 9 9 9 nan
nan 10 10 11 11 11 11 12 12 12 12 11 11 11 12 12 12 12 12 12 11 11 11 12 13 14 15 16 16 17 17 16 15 13 11 9 8 8 9 9 9 8 7 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 4 1 -0 -0 1 4 5 6 7 8 9 10 10 10 9 10 11 13 15 17 18 19 19 18 16 13 10 10 10 10 10 11 12 12 12 12 11 10 9 9 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 10 10 11 11 11 10 10 10 10 11 12 12 11 11 10 9 8 7 7 7 9 9 10 11 10 9 8 8 8 9 10 10 10 10 10 11 11 11 11 12 13 14 13 10 6 4 3 4 5 6 6 8 9 9 nan
nan 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 12 11 11 11 12 14 14 14 14 14 15 16 17 17 16 14 11 9 7 6 7 7 7 7 8 9 9 9 8 8 7 6 6 7 7 7 7 7 8 8 6 3 -1 -3 -4 -3 -1 0 1 2 3 4 6 8 8 9 8 8 8 9 10 11 13 14 16 16 16 15 15 15 14 12 10 10 10 12 12 11 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 11 11 11 10 10 10 9 9 9 10 10 10 9 9 9 9 9 10 11 12 12 12 10 9 8 7 6 7 8 9 10 11 11 10 9 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 7 3 -1 -2 -1 2 4 5 7 8 9 9 nan
nan 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 12 13 13 13 13 13 14 15 16 17 17 16 13 9 6 5 6 6 7 8 9 10 11 10 10 9 8 7 6 6 6 6 7 7 7 8 7 5 2 -1 -2 -2 -2 -1 -1 -1 -2 -2 1 4 7 9 9 9 8 8 8 8 8 9 11 12 13 14 16 18 18 15 11 9 9 12 13 11 10 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 10 9 8 8 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 9 10 10 11 11 11 10 9 8 6 6 7 8 9 10 11 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 7 2 -2 -3 -1 2 5 6 7 8 9 9 9 nan
nan 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 13 13 13 13 14 14 15 16 15 14 11 8 7 7 8 8 9 10 10 10 10 10 10 9 8 6 6 5 5 6 6 7 7 8 8 7 5 4 4 4 3 4 4 2 -2 -2 -0 3 6 9 10 11 10 10 9 9 9 9 10 10 11 13 16 17 16 13 12 13 14 15 14 12 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 10 11 12 10 9 8 8 8 9 9 9 10 11 11 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 11 11 10 10 9 8 6 6 7 7 9 10 10 10 10 10 9 9 10 10 11 10 10 10 10 9 9 9 9 6 1 -3 -4 -3 1 5 7 8 8 9 9 9 9 nan
nan 10 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 13 13 13 13 13 13 13 13 13 14 14 13 11 9 8 8 9 9 10 10 10 10 10 10 10 9 8 7 7 6 6 6 7 8 9 9 10 9 9 8 8 8 10 11 11 7 3 1 -0 2 5 8 11 13 13 12 12 11 11 10 10 11 11 13 13 13 13 14 16 17 17 17 15 12 11 10 9 9 10 10 10 10 9 9 8 8 8 9 10 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 11 11 10 10 10 10 8 7 6 6 7 9 9 9 9 9 8 9 10 10 11 11 10 10 10 9 9 9 8 5 0 -4 -6 -4 -1 3 6 8 8 9 9 9 9 10 nan
nan 10 10 10 10 9 9 8 8 8 8 7 7 7 7 7 6 6 6 6 7 9 10 11 12 13 12 12 12 12 12 11 11 11 12 13 13 12 9 8 8 8 9 10 10 10 9 9 9 9 9 9 9 8 7 7 7 8 8 9 10 10 10 10 9 7 6 9 13 15 14 12 7 2 -0 1 3 6 11 13 13 13 13 12 11 11 11 12 12 11 11 10 11 13 16 17 18 17 15 13 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 10 10 11 11 10 10 9 9 8 9 10 10 11 10 10 9 10 10 11 11 12 11 10 10 10 9 10 10 9 8 6 5 5 7 9 8 9 9 9 8 9 10 11 11 11 10 10 9 9 9 9 8 3 -1 -3 -2 0 3 6 7 8 9 9 9 9 10 10 nan
nan 10 9 9 8 8 7 7 7 7 7 7 7 8 7 7 6 6 5 5 6 7 9 10 11 12 12 12 12 12 11 11 10 9 10 11 13 12 10 8 8 8 9 10 10 9 8 8 8 9 9 10 9 9 8 8 9 9 9 9 10 10 10 9 7 4 0 2 7 11 13 14 11 6 3 2 0 1 4 8 10 11 11 10 9 9 10 10 11 11 10 9 9 9 11 13 15 16 16 15 13 11 10 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 9 10 11 12 12 11 10 8 7 7 8 9 10 10 10 9 9 8 8 8 9 9 8 7 7 8 8 9 10 8 6 4 4 6 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 9 7 6 6 6 5 6 6 7 9 9 9 10 10 10 10 nan
nan 9 9 8 8 8 7 7 6 7 8 9 10 10 9 9 9 9 8 7 6 6 6 7 9 11 11 11 11 11 11 10 9 8 9 11 13 14 12 9 9 9 10 10 9 8 8 7 8 8 9 9 9 9 9 9 10 10 9 9 9 9 9 9 7 3 -1 -2 1 4 7 9 9 9 8 6 3 1 1 3 5 6 6 5 4 5 6 7 7 8 8 8 8 8 8 9 11 13 14 15 13 12 11 11 11 11 11 10 9 8 8 8 8 8 8 8 8 9 9 10 11 12 11 9 8 7 6 7 8 9 10 10 10 9 8 7 6 6 6 6 6 5 6 6 8 9 9 8 6 4 5 8 10 10 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 12 12 9 6 5 6 7 9 10 10 10 10 11 11 nan
nan 10 10 10 10 10 10 9 8 8 9 10 10 10 10 10 10 11 11 9 8 7 6 6 8 9 10 10 10 10 10 10 9 8 9 10 13 14 13 10 9 10 10 10 9 8 8 8 8 8 9 9 9 8 8 9 10 10 10 9 9 9 9 9 8 5 2 2 3 4 5 7 8 9 10 9 8 6 5 5 4 4 4 3 2 3 4 5 4 4 4 6 8 8 7 7 8 9 10 11 12 12 13 13 12 11 9 8 7 7 7 7 7 7 8 9 10 10 10 11 11 9 7 6 6 5 5 6 7 8 8 8 8 8 7 6 5 5 6 7 7 6 6 7 8 10 10 9 7 6 8 10 10 10 11 11 10 10 10 9 9 9 9 10 11 10 10 11 11 11 11 12 13 9 5 2 2 5 8 10 10 10 11 11 12 12 nan
nan 9 10 11 12 12 11 10 10 10 10 10 10 9 9 9 10 12 12 11 10 9 9 8 8 8 9 9 9 9 9 9 8 8 8 9 11 12 11 10 9 10 10 9 9 9 9 9 8 9 9 9 8 8 8 9 9 10 9 9 9 9 9 9 8 7 7 8 9 8 8 8 9 10 10 10 10 10 11 10 9 8 7 6 5 6 6 6 5 4 4 5 7 8 8 7 7 8 8 9 11 15 18 17 14 10 7 7 7 9 10 8 7 6 6 8 10 11 12 12 10 7 5 5 5 5 4 4 5 6 7 8 7 7 7 6 6 6 6 8 9 8 8 8 10 10 10 9 7 7 9 10 10 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 8 3 -0 -1 1 6 9 10 11 11 12 12 12 12 nan
nan 8 8 10 11 11 11 11 10 10 11 11 11 10 10 10 11 12 13 12 11 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 9 10 9 9 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 8 8 8 9 10 11 11 10 10 11 11 11 10 9 10 10 11 12 12 11 10 9 8 9 9 8 7 7 7 7 7 7 8 8 8 9 9 10 13 17 19 18 13 8 5 5 8 12 12 9 6 5 6 8 10 12 13 12 9 6 5 5 6 6 5 5 6 8 9 9 8 8 8 8 7 6 6 8 9 9 9 10 11 11 10 9 8 8 9 9 9 9 8 8 9 10 11 11 11 10 10 10 10 10 11 11 10 10 10 9 6 3 1 1 5 9 10 11 12 12 13 13 13 12 nan
nan 8 8 8 9 10 10 11 11 10 11 11 11 11 10 10 10 12 13 13 12 9 7 6 6 7 8 7 7 7 7 7 7 7 7 6 5 6 6 7 9 10 9 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 10 9 9 9 9 9 9 9 11 11 10 9 9 10 12 12 11 10 9 10 10 11 11 11 10 10 9 8 8 8 8 9 9 9 9 8 8 9 9 9 9 10 12 14 14 12 8 5 4 5 9 13 12 9 7 7 8 10 11 12 13 11 8 6 6 7 8 8 8 9 10 11 11 11 10 10 9 8 6 5 5 7 9 10 11 11 12 11 11 11 11 10 9 8 7 7 7 8 9 11 12 13 11 9 9 9 10 10 10 10 9 9 9 8 7 7 6 7 9 10 11 12 12 13 13 13 13 12 nan
nan 9 9 9 9 9 10 10 9 10 9 10 10 9 9 9 9 10 11 12 12 11 8 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 7 9 10 9 9 8 8 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 6 6 8 10 12 12 11 10 9 9 9 9 9 9 9 9 8 8 9 9 9 9 10 9 9 9 9 8 8 8 9 10 10 10 8 6 5 5 8 11 12 11 9 8 9 10 10 11 12 11 9 7 7 8 9 9 10 10 12 13 12 12 11 11 10 8 6 5 5 6 8 9 11 12 12 12 12 12 13 13 12 10 8 7 6 7 8 10 12 13 12 9 8 8 8 10 10 10 9 9 9 9 9 10 11 10 10 11 11 11 12 13 13 13 12 12 11 nan
nan 10 10 9 8 8 9 9 9 8 7 7 7 7 8 8 9 9 10 11 11 10 8 8 8 8 8 8 8 7 7 7 7 7 7 5 4 4 5 6 8 9 9 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 5 4 6 9 11 12 12 11 10 8 7 7 7 8 7 7 7 8 9 10 9 9 9 10 9 8 7 7 7 7 7 8 8 8 7 7 7 8 10 11 10 8 7 6 7 7 7 8 9 7 5 5 6 8 10 10 10 10 11 11 11 10 10 9 8 7 6 6 7 8 9 10 11 11 10 10 10 11 12 13 13 12 10 9 7 7 8 10 11 11 9 7 7 7 8 10 10 9 9 9 9 10 10 11 11 11 12 12 11 12 13 13 12 12 11 10 10 nan
nan 10 10 9 8 8 9 10 10 9 7 6 6 7 9 9 9 9 9 9 9 6 5 5 7 8 8 8 8 8 8 8 9 9 8 6 5 5 6 7 8 8 8 7 7 8 8 8 8 7 7 8 9 9 10 10 10 9 9 8 8 8 8 8 8 8 9 9 7 5 5 6 8 11 13 14 14 12 9 6 5 6 7 7 6 7 8 10 11 10 9 9 10 9 7 7 6 7 7 7 7 7 7 6 6 7 8 8 8 6 5 4 4 4 5 6 7 6 4 3 3 5 8 9 10 10 9 9 9 9 9 9 8 8 7 7 8 9 10 10 10 9 8 7 7 9 10 11 12 13 14 13 10 8 8 8 9 10 10 9 8 7 8 9 9 10 10 10 10 10 10 10 10 10 11 13 13 13 13 12 11 11 10 9 9 8 nan
nan 10 10 9 8 7 8 9 10 10 8 7 8 9 9 10 9 8 8 7 7 4 3 3 5 7 8 8 8 9 9 10 10 11 11 10 9 8 8 8 8 8 7 6 6 7 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 8 8 7 7 8 8 8 6 4 5 6 8 11 14 16 17 16 11 7 6 7 7 7 7 7 9 10 10 9 9 10 10 10 9 9 9 8 7 7 6 6 5 5 5 5 6 6 6 5 4 5 5 6 7 8 8 7 7 6 6 7 8 8 8 8 8 9 9 8 8 9 9 9 9 9 9 8 8 8 8 7 7 6 7 9 10 10 9 11 12 12 11 9 9 9 10 11 10 9 9 8 8 9 9 10 11 11 11 11 11 11 11 11 12 14 13 13 12 11 10 9 8 8 7 7 nan
nan 9 8 7 6 6 8 9 10 10 9 9 9 9 9 9 8 7 6 6 6 5 3 2 4 6 7 8 8 8 9 10 11 13 14 13 12 11 10 9 9 9 7 6 6 7 8 8 8 9 10 11 11 10 9 9 9 10 10 11 10 9 8 8 7 8 8 7 5 4 4 6 8 10 13 16 18 18 14 10 8 8 7 7 6 7 8 8 8 9 10 11 10 10 10 11 10 10 8 7 6 6 5 4 4 4 5 6 6 6 7 8 8 8 8 8 9 9 9 9 10 9 8 7 7 8 9 10 9 8 8 9 10 10 9 9 8 7 7 7 7 7 7 8 9 10 10 9 8 8 10 11 11 10 10 11 11 11 11 10 8 8 8 9 10 11 11 12 12 12 12 12 12 12 13 13 13 13 12 10 9 8 7 7 7 7 nan
nan 7 6 5 4 6 8 10 11 10 9 9 9 9 9 9 8 7 7 7 7 6 3 2 3 5 7 7 7 8 8 9 11 13 14 14 13 11 10 10 10 9 8 7 7 8 9 9 9 10 11 12 11 10 8 8 8 9 10 11 11 10 10 9 8 8 9 7 4 3 4 5 7 9 11 14 18 18 15 12 9 8 7 5 5 5 6 6 8 9 10 11 10 10 10 10 11 10 10 9 8 7 7 6 5 5 7 7 8 8 9 9 9 9 9 9 9 10 10 11 11 10 10 9 9 10 11 10 8 8 8 8 9 9 8 8 8 7 8 8 8 8 8 9 11 11 11 9 9 9 10 11 11 10 10 10 11 11 10 10 8 8 8 8 9 11 11 13 13 13 13 14 14 14 13 12 13 13 13 11 10 9 9 9 8 7 nan
nan 4 3 3 4 6 9 12 12 11 10 9 9 9 9 9 8 8 7 7 7 5 3 2 2 4 6 7 7 7 7 8 9 12 14 14 13 11 10 10 9 9 8 9 9 10 11 11 10 11 11 12 11 10 9 8 8 8 9 9 10 10 10 10 9 9 9 7 4 2 4 6 6 7 8 11 15 15 13 11 9 8 7 6 5 5 5 7 9 10 11 10 10 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 9 10 10 10 11 11 11 12 12 12 12 12 12 13 13 13 13 12 10 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 10 11 11 11 11 11 11 12 12 11 10 10 10 10 10 9 9 8 7 7 8 9 10 12 13 14 15 15 15 14 14 12 12 12 13 13 15 15 16 15 14 13 11 nan
nan 2 2 3 3 6 9 11 12 13 12 11 10 10 10 9 8 8 7 7 7 5 4 2 2 4 5 6 6 7 7 7 8 10 12 13 13 12 10 10 9 9 8 8 9 11 12 12 11 11 11 12 12 12 11 9 8 7 8 9 9 9 10 9 9 9 8 5 3 2 4 6 6 6 7 9 12 13 12 10 9 9 9 8 7 6 7 9 11 11 11 10 10 10 9 8 8 9 9 10 12 13 14 15 16 15 14 13 12 12 12 13 14 14 15 15 16 15 13 12 14 15 16 17 16 15 14 13 12 11 11 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 13 13 14 14 13 11 10 9 9 9 9 9 8 7 6 7 8 9 10 12 13 14 14 15 15 14 13 12 12 11 11 14 17 19 20 19 18 18 19 nan
nan 5 5 5 5 6 7 9 11 13 13 12 11 10 10 9 9 8 7 7 7 7 5 3 2 3 5 6 6 6 6 7 7 8 11 13 14 12 10 10 9 9 8 8 9 10 11 12 11 10 11 12 12 12 12 10 8 8 8 8 8 9 9 8 7 6 5 4 3 4 5 6 6 6 7 9 10 11 11 10 10 11 11 9 8 7 8 10 12 12 11 10 10 10 10 9 8 7 7 8 9 11 12 13 14 14 13 14 14 14 15 16 17 18 18 18 17 16 13 12 14 15 17 18 19 19 18 17 16 14 14 15 16 16 16 15 15 15 15 14 14 13 13 12 11 11 12 12 14 15 14 12 10 8 7 8 8 8 8 7 7 7 8 10 10 11 11 12 12 12 13 14 13 13 12 11 10 10 12 14 16 16 16 17 20 22 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
78 103 110 101 82 63 49 36 23 9 3 1 1 2 2 1 2 2 3 3 3 3 3 3 3 3 2 2 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 5 14 18 29 54 89 124 133 110 73 46 32 20 11 9 10 13 15 17 19 22 24 26 27 27 28 27 25 20 17 17 18 20 22 24 26 23 20 17 16 15 16 20 26 25 15 10 8 7 7 7 7 10 11 9 7 5 6 8 9 10 10 11 12 13 15 17 19 18 16 15 16 17 17 16 16 16 15 15 15 13 11 11 10 10 9 7 6 5 5 6 7 8 9 9 9 8 8 7 6 6 6 7 7 7
62 92 117 121 103 83 67 54 40 21 8 2 0 0 0 0 1 0 1 1 2 2 2 3 3 3 2 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 1 3 4 12 32 59 98 132 134 98 57 34 25 13 8 8 10 13 16 18 20 23 25 27 29 29 29 26 22 20 19 20 21 23 25 30 30 28 25 21 18 17 19 25 28 20 11 8 7 7 7 7 8 9 9 8 6 5 6 6 8 10 12 13 15 16 18 19 17 14 14 15 18 19 17 16 16 16 15 15 13 11 11 10 9 8 7 6 5 6 8 9 9 9 8 7 6 6 6 5 5 6 6 6 8
41 70 104 124 117 105 88 73 57 35 16 4 0 0 0 0 0 0 0 0 1 1 2 3 2 2 2 2 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 2 17 36 66 105 130 117 71 38 27 17 10 7 8 10 14 16 19 22 25 28 29 29 29 27 23 21 20 20 22 23 25 33 37 39 38 32 23 18 18 24 27 22 13 8 7 7 7 6 6 6 8 9 8 7 5 4 5 6 8 9 10 11 11 12 11 11 11 14 17 19 17 14 14 14 14 13 12 11 10 9 7 6 5 5 6 8 9 9 8 8 7 7 6 5 5 5 5 5 6 7 7
23 50 85 114 125 124 110 93 72 46 24 8 0 0 0 0 0 0 0 0 1 1 1 1 1 1 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 7 19 41 72 104 115 87 53 32 21 14 10 7 7 12 14 17 21 26 31 33 31 29 27 24 21 19 19 20 21 24 30 37 44 47 42 30 21 17 21 32 29 19 11 7 6 6 6 6 5 6 7 9 8 7 5 4 4 4 4 5 5 6 6 7 8 11 13 16 16 13 10 11 12 12 12 11 10 8 8 6 5 5 5 7 9 8 8 8 8 8 7 6 6 6 6 6 7 7 7 7
11 33 66 99 124 136 129 108 81 52 29 15 5 2 0 0 0 0 0 0 0 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 2 10 25 48 88 89 87 67 42 24 18 16 9 7 10 13 16 21 27 32 34 34 31 29 25 22 20 19 19 19 21 23 28 36 44 45 40 27 18 18 27 32 28 19 7 6 6 6 6 6 5 5 8 8 8 7 6 5 4 4 4 5 5 6 7 8 11 13 15 14 11 9 9 10 10 10 9 8 7 6 5 5 6 8 9 9 9 8 8 8 8 6 6 8 8 7 7 7 8 8 10
4 18 44 74 106 134 136 123 94 61 38 24 14 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 28 51 68 79 75 55 31 20 18 12 8 9 12 15 19 27 32 34 36 35 31 26 22 20 20 20 21 20 19 19 26 35 41 48 36 23 18 21 27 30 30 12 7 6 5 5 5 6 5 6 6 7 8 8 8 6 6 6 5 6 6 8 9 10 12 14 12 10 8 8 8 8 8 7 6 6 5 6 6 8 9 9 9 9 9 8 8 7 6 7 8 9 8 7 8 8 11 13
1 6 21 44 76 111 127 131 108 77 53 36 24 14 8 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 1 5 16 33 50 64 72 65 41 26 19 13 8 7 11 14 17 25 32 40 45 42 36 30 25 21 20 21 21 21 20 19 21 24 31 44 42 31 21 16 18 23 32 19 10 6 6 6 8 6 5 5 5 5 6 7 9 8 8 7 7 7 8 9 10 10 11 12 11 10 8 7 6 7 6 6 5 5 6 7 8 9 9 9 9 9 9 9 8 7 6 7 8 8 8 7 6 8 12 14
1 3 11 27 49 74 105 123 120 102 77 52 36 21 7 3 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 2 6 13 21 37 55 55 54 50 33 19 9 6 9 13 17 25 33 43 51 53 47 38 29 23 21 21 21 20 20 20 22 22 27 37 42 38 28 16 11 17 25 24 17 11 9 7 6 6 5 5 5 5 4 5 7 7 9 8 8 8 8 9 10 10 10 10 10 9 8 7 6 6 5 5 5 7 9 9 9 10 9 9 9 9 9 9 8 7 6 6 6 7 7 6 7 8 11 12
1 2 7 20 31 47 81 111 124 118 93 61 47 36 21 13 8 4 2 1 1 0 0 0 0 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 1 1 3 12 27 29 42 58 46 27 13 7 7 12 18 24 32 41 52 60 57 47 38 29 24 22 21 19 17 16 23 22 26 33 41 47 45 22 14 15 20 25 23 15 10 6 5 5 5 5 5 5 5 5 4 6 7 7 7 7 8 8 10 10 10 10 9 8 8 6 6 5 5 5 6 8 10 11 10 9 9 9 9 9 9 9 8 7 7 6 5 7 7 6 7 7 9 11
0 0 3 11 19 31 53 78 105 118 101 64 46 37 29 24 19 14 9 6 5 3 1 1 1 1 1 2 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 1 8 11 18 37 43 36 21 7 4 10 15 21 29 37 46 54 58 55 48 37 30 26 24 22 19 21 21 21 24 29 35 40 50 35 22 16 16 19 20 14 9 6 4 4 5 5 6 6 5 5 5 6 6 6 6 7 8 9 10 10 10 10 8 7 7 7 6 5 5 5 7 11 12 11 10 9 9 9 9 9 9 8 8 7 6 6 5 6 7 7 7 6 8 9
0 0 1 4 10 18 29 46 76 105 100 67 46 39 35 32 29 23 18 12 11 8 6 4 2 2 2 3 3 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 1 2 4 17 35 43 31 0 3 11 15 19 25 32 40 49 55 60 54 43 35 31 28 30 29 29 27 24 24 27 31 32 38 36 29 21 14 13 14 11 8 6 5 5 5 6 6 6 6 6 6 6 5 6 7 8 9 9 10 10 10 11 10 8 7 5 5 5 5 5 7 10 11 11 10 9 9 8 9 9 8 7 7 6 5 5 5 6 7 7 6 6 6 8
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7 6 6 7 8 7 6 7 8 8 8 9 8 7 7 6 5 5 5 3 3 3 3 3 3 2 3 3 3 4 5 5 7 11 12 11 9 7 6 6 5 4 4 5 4 4 3 3 4 4 5 5 5 5 5 5 6 6 6 7 7 7 7 7 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 0 0 0 0 0 1 1 2 3 4 3 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 3 2 3 3 3 3 3 3 3 3 3 4 4 4 5 7 10 12 14 17 21 28 44 65 86 112 143 152 149 152 154 152 143 129 119 104 92 87 82 80 78 79 81 83 81 81 84 90 94 93 92 84 71 64 63
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9 9 8 8 8 7 5 5 6 6 7 8 9 8 8 8 7 5 3 2 2 2 3 3 2 1 1 2 3 4 4 4 4 6 7 8 7 6 6 5 5 5 5 4 4 4 4 4 4 4 5 5 6 7 7 7 7 6 5 4 4 4 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 1 1 2 3 3 4 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 1 2 5 7 7 6 4 2 3 2 3 3 4 5 6 8 11 16 20 22 24 30 45 67 83 94 102 110 106 106 113 112 99 83 78 69 57 49 44 37 31 31 34 39 45 46 46 48 49 48 49 49 51 51 51 56 60
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