Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 10 9 9 8 8 8 9 9 10 11 11 11 11 9 8 7 7 7 7 8 8 9 10 11 12 12 13 15 17 18 18 18 17 17 16 16 15 16 16 16 16 15 14 13 12 11 11 12 13 13 12 12 12 12 13 13 13 13 14 14 14 13 12 12 12 12 11 10 9 9 9 9 9 9 7 6 6 7 8 9 9 8 8 6 5 6 9 12 15 14 12 11 11 10 10 9 9 9 9 9 9 10 10 10 11 13 13 13 13 13 13 11 10 9 9 10 11 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 10 10 11 11 11 11 11 11 11 11 10 8 8 7 8 9 10 10 11 12 13 12 10 9 8 8 8 8 8 8 8 8 8 8 8 9 11 13 14 14 15 15 16 16 16 16 16 17 16 15 14 12 11 9 10 11 12 13 12 11 11 12 13 13 13 13 12 12 13 13 13 13 13 12 12 11 10 10 10 10 10 9 7 5 5 6 7 8 8 8 7 7 5 5 7 10 13 15 13 11 10 10 10 10 9 9 9 10 10 10 10 10 10 13 14 16 16 15 15 13 11 10 10 10 10 11 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 10 10 11 11 12 11 10 8 7 7 7 8 9 10 10 12 12 11 10 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 10 10 11 12 13 14 14 15 15 16 15 14 12 9 7 8 9 11 12 11 10 10 11 13 14 14 13 11 10 10 11 12 12 11 11 11 10 10 9 10 11 11 10 9 7 5 5 7 9 8 7 7 7 7 7 8 10 11 13 13 12 10 9 8 9 10 10 11 11 11 11 11 11 11 12 14 14 15 15 15 14 13 12 11 10 9 9 10 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 9 9 9 10 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 9 7 6 7 8 9 10 10 11 11 11 10 9 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 11 11 13 14 15 14 12 9 7 8 10 11 11 9 9 11 13 14 15 13 10 8 8 9 10 12 11 9 8 8 9 9 9 9 10 10 10 10 9 7 8 10 10 9 7 6 8 10 11 11 12 11 12 12 12 10 8 7 9 10 11 12 12 12 12 12 12 13 15 15 15 14 13 14 14 14 13 12 10 8 8 9 nan
nan 8 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 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 13 13 11 9 7 6 7 8 9 10 10 11 11 11 10 9 9 9 9 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 11 13 14 14 13 11 9 9 10 11 11 9 8 10 12 13 13 11 8 7 7 9 12 13 11 9 7 7 9 11 10 10 9 9 11 11 10 9 10 12 11 9 7 7 9 10 11 11 11 10 11 12 12 10 8 8 10 12 12 13 12 12 12 13 14 16 18 17 16 14 13 14 14 14 14 13 11 10 9 8 nan
nan 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 8 8 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 8 9 10 10 12 13 13 12 10 8 6 7 8 9 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 8 9 11 13 14 14 13 12 11 11 11 10 9 8 7 8 11 12 10 9 8 8 10 14 14 12 10 8 10 13 14 13 11 9 10 12 13 12 11 11 12 11 9 7 7 9 10 10 10 10 10 11 11 11 10 10 12 13 14 13 12 12 12 13 14 15 17 18 17 14 14 15 16 16 15 14 14 13 11 9 7 nan
nan 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 8 8 9 10 11 13 13 13 11 8 6 7 8 9 10 11 12 12 12 11 11 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 8 10 12 13 14 14 13 12 11 11 9 6 4 6 10 12 11 10 9 9 11 13 13 12 11 10 12 14 14 12 11 10 11 13 14 14 13 12 11 9 8 7 8 9 10 10 10 10 10 10 11 11 11 12 13 14 13 12 11 11 12 14 15 16 16 15 14 13 15 17 17 17 16 16 15 14 13 11 10 nan
nan 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 8 8 9 10 12 13 13 11 8 6 7 8 9 11 12 12 13 12 12 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 7 8 9 11 12 13 13 13 13 12 8 4 2 5 10 12 12 12 10 10 11 12 12 12 11 11 12 12 11 11 11 11 12 14 14 14 13 11 10 8 7 8 9 10 10 11 11 10 9 9 9 10 11 11 11 10 10 9 10 12 13 15 16 16 15 14 13 13 15 16 17 18 18 17 16 15 14 13 13 nan
nan 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 9 8 9 9 9 9 9 10 10 10 10 11 11 10 9 8 8 8 10 12 13 13 11 8 6 6 7 9 11 12 12 13 13 12 12 11 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 7 8 9 10 11 12 13 14 12 8 3 3 6 9 11 12 11 9 9 9 10 11 11 11 11 11 10 10 11 11 11 12 12 13 12 12 10 9 8 8 10 11 11 11 12 11 10 9 9 9 10 10 10 9 7 7 9 11 13 14 14 15 15 15 14 13 13 14 15 17 17 17 16 17 17 17 16 15 nan
nan 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 9 8 8 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 10 9 8 8 10 12 13 13 11 8 6 6 7 9 11 11 12 12 12 12 12 12 11 11 10 9 9 9 9 8 9 8 9 9 9 9 9 9 9 9 8 8 8 8 7 8 8 9 9 10 10 12 12 11 8 6 5 6 8 10 10 9 8 8 9 10 11 11 11 11 10 9 9 9 9 9 10 11 11 10 10 9 9 9 10 11 12 11 11 11 10 9 9 9 9 10 10 9 7 5 6 9 12 14 13 13 13 14 14 14 13 13 15 16 17 16 15 16 18 18 18 16 15 nan
nan 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 8 9 9 9 8 8 8 8 9 9 9 10 10 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 10 9 8 8 9 12 13 13 11 8 6 6 7 9 10 11 11 12 12 12 12 12 11 11 11 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 11 12 11 10 9 8 7 7 8 8 8 8 9 9 11 11 12 11 10 9 7 7 8 9 10 10 11 10 10 9 9 10 11 11 11 11 10 10 10 9 8 8 8 10 10 10 9 6 4 7 11 14 14 12 11 11 11 12 12 13 14 16 17 16 15 16 17 18 17 16 15 14 nan
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nan 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 11 14 16 13 10 7 7 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 8 8 7 6 6 5 4 5 7 11 14 14 14 14 12 8 7 8 9 9 10 12 11 11 11 11 12 14 16 16 14 12 11 11 12 12 12 12 12 11 11 10 10 11 11 11 10 10 10 10 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 10 10 10 9 10 10 10 10 11 12 12 nan
nan 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 10 11 12 14 15 13 9 7 7 9 10 11 11 11 10 10 10 10 9 9 9 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 9 7 6 5 4 3 3 2 3 5 8 10 11 11 12 11 10 10 10 9 8 10 10 11 11 12 13 14 15 16 15 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 10 9 9 9 8 8 8 8 8 9 10 11 11 11 10 10 10 10 11 11 12 14 15 14 nan
nan 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 11 12 12 12 11 9 7 7 8 9 11 12 12 12 11 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 10 10 10 9 6 4 3 3 4 4 4 4 4 5 6 7 8 10 12 13 14 15 13 9 7 9 10 10 11 13 15 15 15 14 13 12 12 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 10 10 10 9 8 8 8 9 8 8 8 8 8 8 8 8 9 10 11 11 11 11 11 11 11 12 13 14 16 17 15 nan
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nan 8 8 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 13 13 12 9 2 -5 -5 1 10 16 17 17 16 16 14 11 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 9 9 9 9 9 8 5 3 3 5 8 9 9 9 8 7 5 5 6 9 12 15 15 14 12 9 7 7 8 10 11 12 13 13 12 11 10 10 10 10 11 11 10 10 10 10 11 11 11 11 10 10 11 10 10 9 8 7 7 6 6 6 7 6 6 7 8 10 10 9 9 10 11 11 11 10 10 10 11 12 13 14 15 17 18 18 16 nan
nan 8 8 8 8 9 9 9 9 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 12 13 12 10 5 -3 -9 -6 3 13 18 18 17 17 16 15 13 11 9 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 11 10 10 9 9 9 8 7 6 5 6 8 10 10 10 9 9 7 5 4 6 9 13 15 14 12 10 8 7 8 9 10 12 13 12 11 11 11 11 11 10 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 9 7 6 5 6 6 7 7 7 8 8 10 11 11 9 8 9 10 10 11 10 10 10 10 11 11 12 13 15 16 17 17 14 nan
nan 8 8 8 8 8 8 9 9 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 8 8 9 11 12 12 11 9 3 -5 -9 -4 4 12 17 18 17 16 16 16 15 12 9 7 7 7 8 8 8 8 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 8 8 8 9 10 10 10 10 10 10 7 5 5 6 9 13 15 14 12 10 8 8 8 10 11 11 11 11 11 12 13 12 11 11 11 11 10 10 10 11 11 11 11 11 11 11 10 9 8 7 6 5 6 7 8 8 9 10 10 11 12 12 10 8 7 9 10 10 10 10 10 10 10 10 11 11 12 13 13 15 14 11 nan
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nan 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 8 4 1 0 2 4 5 5 8 12 16 20 18 15 14 13 12 9 5 4 5 7 8 8 7 6 7 8 9 9 10 10 10 10 10 11 11 11 11 11 12 11 10 8 5 3 5 10 14 15 15 14 14 15 15 14 12 11 10 10 10 12 13 13 14 15 15 13 11 10 10 11 11 10 10 10 11 12 13 13 13 12 11 10 9 9 9 9 9 9 9 9 11 11 11 10 8 8 8 8 8 8 7 7 7 8 11 13 13 12 9 9 9 10 11 12 12 11 9 6 4 nan
nan 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 9 5 2 0 1 4 5 5 6 9 15 20 20 18 17 14 12 9 5 3 4 6 7 7 6 7 8 9 9 10 10 9 9 9 10 10 11 11 11 11 11 11 9 7 6 6 9 12 13 13 13 13 14 15 16 15 13 12 10 10 10 12 13 14 14 16 15 13 11 11 12 13 12 11 10 10 10 11 13 14 15 14 13 12 11 10 10 10 10 10 11 12 13 12 11 8 8 8 9 9 9 9 9 8 9 12 14 14 11 8 7 7 8 9 9 10 10 8 6 4 3 nan
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nan 7 8 8 9 9 8 7 7 7 8 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 9 10 10 10 10 9 9 8 8 10 13 14 14 13 12 12 12 13 14 13 12 10 10 11 11 12 12 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 14 14 13 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 9 9 10 11 12 12 11 10 11 12 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 nan
nan 12 11 10 9 7 5 4 3 3 4 6 7 9 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 10 12 12 12 12 11 11 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 14 14 14 13 12 12 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 12 11 11 10 10 11 11 11 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 16 16 14 12 8 4 2 0 -0 1 3 6 8 10 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 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 11 12 12 12 12 12 12 12 12 12 13 13 14 14 13 13 13 12 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 12 12 13 13 12 12 12 12 12 12 nan
nan 17 18 18 16 12 7 4 3 3 4 6 7 9 10 11 10 10 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 14 14 13 13 12 11 11 10 10 10 10 10 11 11 11 10 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 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 12 13 13 13 12 12 12 12 12 nan
nan 15 18 20 19 15 10 7 6 7 9 9 9 10 10 10 9 9 9 9 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 8 9 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 13 13 12 13 13 12 12 13 13 13 14 14 14 14 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 12 13 14 13 13 12 12 12 12 nan
nan 13 16 19 19 16 12 9 8 8 8 9 9 9 10 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 6 5 4 3 6 10 13 14 14 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 13 13 13 13 13 13 13 13 13 13 14 14 14 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 11 12 12 13 13 12 12 13 13 12 nan
nan 13 15 16 16 15 13 11 9 7 7 7 8 9 9 9 9 9 9 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 8 6 4 3 2 3 8 12 16 18 16 13 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 13 13 13 13 13 14 13 13 14 14 14 13 13 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 nan
nan 13 13 14 15 15 15 13 11 9 8 8 8 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 6 4 3 3 6 9 13 16 18 17 14 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 13 13 14 14 14 14 14 14 14 13 13 13 13 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 nan
nan 12 12 13 13 14 14 13 11 10 9 9 9 9 8 9 9 9 10 10 10 11 11 10 11 10 11 11 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 9 8 6 5 5 6 7 9 12 15 17 16 14 12 11 11 11 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 11 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 14 14 14 14 14 14 14 14 13 13 13 13 12 12 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 nan
nan 11 11 11 12 12 12 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 6 6 7 9 11 15 17 16 15 13 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 12 12 13 14 15 15 15 15 15 14 14 13 13 13 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 9 10 10 10 10 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 11 11 11 11 11 11 11 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 7 6 6 8 10 12 15 16 16 14 12 11 11 11 11 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 11 11 11 10 10 11 11 11 11 11 11 11 11 11 12 13 14 15 15 15 15 15 15 14 14 13 13 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 12 13 12 12 12 12 12 12 12 12 12 12 12 nan
nan 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 8 10 12 14 15 15 14 13 11 11 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 15 15 16 16 16 15 14 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 12 12 12 12 12 12 12 12 12 12 11 11 12 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 10 11 12 14 14 13 12 11 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 12 13 13 14 15 16 16 16 15 15 14 14 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 9 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 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 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 12 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 15 15 16 16 16 15 15 15 14 13 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 11 nan
nan 10 10 11 11 11 10 10 11 11 11 11 10 10 10 10 10 10 11 11 10 10 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 15 16 16 17 17 16 15 14 13 13 12 12 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 12 11 11 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 16 16 17 18 17 16 15 14 13 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 11 12 13 13 12 12 11 11 10 nan
nan 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 12 12 13 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 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 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 12 14 15 16 17 18 18 17 16 15 13 12 12 11 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 12 12 12 12 12 12 12 11 nan
nan 10 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 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 10 10 10 10 10 10 10 10 10 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 11 11 11 11 12 12 12 12 11 11 11 10 10 9 9 9 9 9 9 9 10 11 12 13 13 14 16 18 19 19 18 16 14 12 12 11 11 11 11 11 11 10 10 11 11 11 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 nan
nan 11 11 11 10 10 10 10 10 11 10 10 10 9 9 10 10 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 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 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 10 9 8 8 9 9 10 9 9 9 10 12 13 13 12 13 15 17 18 20 19 17 15 14 13 12 12 12 12 11 11 10 10 11 11 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 nan
nan 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 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 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 9 8 9 9 10 10 9 9 10 11 12 13 13 12 12 13 15 16 19 19 18 17 15 14 13 13 13 13 12 11 10 11 11 12 12 13 13 13 12 11 10 9 9 8 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 11 12 12 13 12 11 11 nan
nan 11 11 11 11 10 10 10 10 11 11 10 10 10 10 11 11 11 10 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 10 10 10 9 9 9 9 9 10 11 11 12 14 14 13 12 12 13 15 17 18 18 18 17 15 15 14 14 14 13 12 11 11 11 11 12 12 13 13 12 12 11 10 9 8 8 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 12 11 11 11 11 11 10 10 9 8 8 8 9 11 12 13 13 12 11 nan
nan 11 11 11 11 11 10 10 10 11 10 10 10 10 11 12 12 12 11 8 8 8 9 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 7 7 8 10 11 11 11 13 14 14 14 13 12 11 12 14 15 16 18 18 17 16 15 15 14 13 11 10 10 10 10 11 12 12 12 12 12 12 11 10 9 9 8 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 12 12 11 11 10 10 9 8 8 7 8 9 10 12 12 12 11 nan
nan 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 13 14 12 10 9 9 9 10 11 11 11 11 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 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 11 11 11 11 11 10 10 10 10 11 12 12 12 11 10 8 7 7 9 11 11 11 11 12 14 14 14 13 12 10 10 11 12 14 16 18 18 18 17 16 14 13 11 10 9 9 9 9 10 11 12 12 12 12 11 10 9 9 8 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 12 12 11 11 10 10 9 9 8 8 9 10 11 11 11 10 nan
nan 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 12 13 13 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 11 10 9 8 9 11 12 13 13 12 11 10 8 7 8 10 12 12 11 10 11 12 13 13 12 11 10 9 9 9 11 14 15 17 19 19 18 17 15 13 11 9 8 8 8 9 11 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 10 10 10 10 11 11 10 10 nan
nan 11 11 11 11 11 10 10 10 10 11 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 11 10 9 9 9 11 13 14 14 13 11 11 10 8 8 9 11 12 11 9 9 10 11 12 12 12 12 11 11 10 9 10 12 13 16 18 19 20 21 20 18 15 12 9 7 7 8 10 12 12 12 11 10 9 9 9 9 9 9 9 9 9 8 8 9 9 10 11 11 11 10 11 11 11 12 12 11 11 10 10 11 12 12 12 11 11 11 11 11 11 11 nan
nan 11 11 11 11 10 10 10 10 10 11 10 10 10 10 10 10 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 11 11 10 10 11 12 13 14 13 12 11 11 10 9 8 9 10 10 9 8 9 10 10 11 11 12 12 13 13 12 12 11 11 11 13 17 19 22 26 27 24 20 15 11 7 6 8 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 10 11 12 12 12 11 10 9 10 11 12 13 12 11 10 10 10 10 11 12 nan
nan 11 11 11 11 11 10 10 10 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 12 12 12 11 11 10 9 8 8 8 9 8 7 8 9 10 11 11 10 11 12 12 13 14 13 12 11 9 8 10 13 18 27 34 35 32 26 19 13 9 8 8 9 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 11 12 11 11 9 9 10 11 13 13 13 11 10 9 9 9 10 11 nan
nan 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 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 11 11 11 11 11 11 10 11 11 10 11 11 11 11 11 11 10 9 8 7 7 8 8 8 7 7 8 10 12 13 12 11 11 12 13 13 12 12 10 8 6 5 7 13 21 34 42 44 40 32 23 15 11 9 9 10 9 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 11 11 11 10 9 9 9 11 13 14 13 12 10 8 7 7 8 9 nan
nan 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 7 6 5 6 7 8 8 8 8 10 12 14 14 14 13 13 13 13 11 9 7 5 4 4 5 9 15 27 40 45 48 44 34 24 16 12 10 11 10 9 8 7 6 7 7 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 9 9 9 10 12 14 14 12 11 9 8 8 8 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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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