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