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 9 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 7 7 9 10 9 9 8 9 9 9 9 9 9 10 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 8 8 8 7 7 7 8 8 8 9 9 7 6 6 8 8 8 8 8 7 6 5 5 6 9 11 11 10 9 9 9 9 8 8 8 7 7 8 8 7 7 7 8 8 8 9 10 10 10 9 9 9 9 9 nan
nan 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 9 9 10 10 9 9 9 10 10 10 9 9 9 8 8 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 12 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 7 7 6 6 6 6 7 7 7 8 8 8 8 7 7 8 8 9 9 8 8 8 8 8 9 8 8 8 7 7 7 7 8 8 8 8 7 5 4 6 7 8 8 7 7 6 5 5 5 7 10 11 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 9 9 10 10 11 11 10 10 9 9 9 9 9 nan
nan 10 11 11 11 10 10 9 9 9 9 8 8 7 7 7 7 8 8 9 10 10 10 10 10 10 10 10 11 11 10 9 8 8 7 7 7 6 6 6 7 7 7 8 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 10 10 10 9 9 10 10 10 9 9 9 8 8 8 7 6 6 6 6 7 7 8 8 9 8 7 7 7 8 9 9 8 8 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 7 6 5 5 6 7 7 7 6 6 7 7 7 8 9 10 10 10 9 8 8 9 9 9 9 9 9 9 8 8 8 8 10 9 9 10 10 11 10 10 10 9 8 8 8 nan
nan 11 11 10 10 10 10 9 8 8 8 8 8 7 6 6 7 8 9 10 11 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 8 9 9 9 8 8 8 7 7 7 7 6 6 6 6 7 7 8 9 9 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 7 7 7 6 6 7 7 8 9 9 9 8 8 9 9 9 9 8 7 6 6 7 8 8 8 7 6 6 7 7 7 7 7 7 7 7 6 6 8 8 7 6 6 7 8 9 10 10 9 9 10 10 9 8 8 9 10 10 10 10 9 9 9 8 9 10 11 10 9 9 10 10 10 10 10 8 8 8 8 nan
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nan 9 9 8 8 8 7 6 6 7 7 7 7 7 8 8 8 9 9 10 10 10 11 10 10 10 9 8 7 7 8 8 8 9 9 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 8 8 8 8 9 9 8 8 8 8 9 10 9 9 8 8 9 9 9 8 8 8 9 9 9 9 9 10 9 8 6 7 8 8 8 8 8 9 10 11 12 11 11 12 13 14 13 12 10 9 9 9 10 12 12 11 9 8 10 11 10 10 10 10 10 9 8 7 nan
nan 8 8 9 8 8 6 6 7 7 8 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 7 8 8 7 7 7 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 9 10 11 11 11 11 11 10 10 9 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 9 8 8 7 6 8 8 8 8 9 9 9 10 10 10 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 9 7 7 7 8 9 9 8 9 9 10 11 11 12 12 13 14 13 12 11 10 10 10 10 11 11 11 9 8 9 11 11 11 10 10 11 10 10 9 9 nan
nan 10 10 10 10 9 8 8 9 10 11 11 12 12 12 13 12 12 12 11 11 10 9 9 10 10 10 11 11 11 10 9 9 8 8 8 8 7 7 8 8 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 10 11 11 11 11 10 10 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 7 6 7 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 9 9 10 10 11 11 10 10 10 9 8 7 8 9 9 10 10 10 9 9 9 10 10 11 11 11 11 10 9 10 11 11 12 12 12 11 10 9 9 10 10 11 11 11 11 11 10 11 12 12 nan
nan 12 12 12 12 11 11 11 12 12 13 13 13 13 13 13 12 12 12 11 11 10 9 8 9 9 10 11 11 11 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 7 7 7 8 9 10 11 11 11 10 9 9 8 7 7 6 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 8 7 6 6 8 8 8 8 7 6 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 11 11 10 9 9 10 10 10 10 9 8 7 8 10 11 12 12 13 13 12 12 11 10 9 10 10 10 9 10 11 12 13 13 12 nan
nan 14 13 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 10 10 9 8 8 8 8 9 9 9 8 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 9 10 10 10 9 8 7 6 6 6 6 7 8 9 9 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 7 7 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 7 6 5 6 7 7 7 8 8 8 8 8 7 7 7 7 6 7 7 8 7 7 8 9 10 10 10 10 10 10 10 9 10 10 10 10 9 8 6 7 9 10 11 11 11 11 12 12 12 11 11 11 11 10 8 8 10 12 14 14 13 11 nan
nan 13 12 12 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 8 8 9 9 8 7 6 5 5 5 6 7 9 10 10 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 7 7 7 8 8 8 7 7 7 6 6 6 6 6 6 7 6 6 5 5 6 7 9 10 9 9 9 9 9 9 9 9 9 10 10 9 8 6 6 8 10 12 12 10 10 10 10 11 11 11 12 12 12 11 9 10 12 13 13 12 11 10 nan
nan 12 11 10 10 10 10 10 9 9 8 8 8 7 7 8 8 9 9 9 9 8 8 8 9 10 10 10 10 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 7 6 6 6 7 8 10 11 12 12 11 10 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 8 7 6 6 6 7 7 8 9 9 8 7 6 6 7 9 10 9 9 9 9 9 9 9 9 9 10 10 10 10 8 6 7 10 12 13 12 11 10 10 10 10 10 10 11 11 11 11 11 12 13 12 11 11 11 11 nan
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nan 9 8 8 8 7 7 7 7 8 8 9 11 12 11 10 9 9 9 9 9 10 10 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 6 6 6 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 8 9 10 9 8 7 7 7 8 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 8 8 9 9 10 9 8 8 9 10 11 12 12 12 12 12 11 10 10 9 9 8 7 7 7 8 8 9 11 12 12 11 11 12 12 12 11 11 10 10 9 9 10 11 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 9 8 9 9 9 9 9 9 9 9 10 11 11 12 12 12 12 12 11 11 10 10 11 12 13 12 12 11 11 11 10 10 10 10 10 10 nan
nan 8 8 8 7 7 7 6 7 7 8 9 10 10 9 8 8 9 9 10 10 10 10 9 9 8 7 6 6 5 5 6 7 7 7 7 7 7 7 6 6 5 5 6 6 6 6 6 6 5 5 5 6 6 6 6 6 5 5 5 5 5 5 6 6 7 8 9 10 10 8 6 6 6 6 8 9 10 11 11 11 10 10 10 9 10 10 10 10 9 9 8 8 9 10 10 10 9 9 9 10 11 12 12 13 13 12 11 11 10 9 8 8 7 7 8 9 10 10 10 11 10 10 11 11 12 11 11 11 10 10 10 11 12 13 13 12 11 10 10 9 9 9 9 9 10 10 11 10 9 8 8 9 9 9 10 9 9 9 9 10 10 11 11 12 12 12 12 11 11 10 10 12 13 14 13 12 10 9 8 9 10 11 11 11 11 nan
nan 6 6 6 6 6 6 5 6 7 8 9 9 8 8 8 8 9 9 9 9 10 10 9 8 7 6 5 5 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 4 5 5 6 7 7 7 7 6 6 5 5 5 5 5 5 6 7 8 9 10 9 8 7 6 6 6 7 8 8 9 10 10 10 10 9 8 8 9 9 9 9 8 8 8 9 10 11 11 11 10 10 11 12 12 12 12 12 11 10 10 9 9 9 9 10 10 11 11 11 10 10 10 10 10 11 11 10 9 9 9 10 10 11 12 12 12 12 11 10 9 9 9 9 9 9 10 10 11 11 9 8 8 8 9 10 11 10 9 8 8 8 9 10 10 11 11 12 12 12 11 10 10 11 13 14 13 12 10 8 7 8 9 11 12 12 12 11 nan
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nan 6 6 6 6 6 5 5 5 7 8 9 9 7 7 7 7 6 7 8 9 9 8 8 7 7 7 7 8 8 7 7 6 5 4 4 4 4 4 5 5 6 5 5 4 4 4 5 6 6 7 7 7 7 8 8 8 7 6 5 5 5 5 6 6 7 7 8 10 10 9 8 6 5 5 6 6 6 7 8 8 9 10 10 9 9 9 9 9 8 7 7 7 8 9 10 10 11 11 11 11 12 12 12 11 11 10 10 11 12 14 15 15 15 14 13 11 10 9 8 8 9 10 10 9 7 6 6 7 8 9 10 10 8 7 6 5 5 5 6 7 7 8 9 10 10 9 8 7 8 9 11 12 12 11 9 7 6 5 6 9 10 10 9 9 10 11 11 11 11 12 12 12 11 10 10 9 10 11 12 13 13 12 11 10 10 nan
nan 7 7 7 7 7 6 5 6 6 8 9 8 7 6 6 6 6 7 8 9 8 7 7 7 7 7 7 7 6 6 5 5 4 4 4 4 5 6 6 6 6 5 5 5 5 6 7 7 6 6 6 6 7 8 8 8 7 6 6 6 6 6 6 6 7 8 9 10 10 9 7 6 5 5 6 6 6 6 6 7 8 9 10 11 11 10 10 9 9 8 7 7 7 8 8 9 9 9 10 11 11 12 11 11 11 11 11 13 15 16 17 17 17 16 13 11 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 5 5 6 6 6 7 8 9 9 8 7 8 9 11 13 13 12 9 6 4 4 5 7 9 9 9 10 11 12 12 11 11 11 11 11 10 10 10 10 10 10 11 12 12 12 11 10 9 10 nan
nan 8 9 9 8 7 6 5 5 6 7 8 7 6 6 7 7 8 8 8 7 6 5 5 5 6 6 7 7 7 6 6 6 5 5 5 7 8 8 8 7 6 5 6 6 6 6 6 6 5 5 5 6 7 7 8 8 8 7 6 6 6 6 6 7 7 8 9 9 9 8 7 6 5 5 5 6 6 6 5 6 7 8 9 11 11 12 12 11 10 9 9 8 7 7 8 7 7 7 8 10 11 11 11 11 11 11 12 13 15 16 17 17 17 15 13 11 9 9 9 8 8 8 8 9 10 11 11 10 9 9 8 7 7 7 7 7 7 8 8 7 6 6 7 7 8 8 9 11 12 13 13 11 9 7 5 5 6 7 8 9 10 11 13 14 14 12 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 nan
nan 8 8 8 7 6 4 4 5 7 9 9 8 8 8 8 9 9 9 7 5 3 3 4 5 6 7 8 8 8 8 7 7 7 8 9 10 10 9 9 8 7 7 7 7 7 6 6 5 5 5 5 6 6 7 8 8 8 7 6 6 6 6 7 7 8 9 9 9 8 7 6 6 5 5 5 6 6 5 5 5 6 7 8 10 11 12 12 12 11 11 10 9 8 8 8 7 6 6 7 8 10 11 11 11 11 12 12 12 13 14 15 15 15 13 11 10 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 7 7 6 5 5 7 9 9 9 8 8 8 8 9 10 12 13 13 12 10 9 7 7 7 9 10 10 10 11 12 13 14 14 13 11 10 9 9 9 9 8 8 9 9 10 9 8 8 8 9 9 10 10 9 nan
nan 8 7 7 6 5 5 6 8 10 11 10 10 9 9 9 8 8 6 5 4 4 5 6 8 9 9 9 9 9 8 8 9 10 11 12 12 11 10 10 10 10 9 9 8 7 6 6 6 6 6 6 6 7 7 8 8 7 7 6 6 6 6 7 7 8 9 9 9 8 7 6 5 5 5 6 6 5 5 4 4 4 5 7 9 10 12 12 13 12 11 11 10 9 8 8 8 8 7 7 8 9 10 10 11 12 12 12 12 12 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 6 5 5 6 8 9 9 9 10 10 10 11 12 12 12 11 10 8 8 8 9 10 10 10 10 10 11 13 13 13 12 12 11 10 9 8 8 8 8 8 8 9 8 7 6 6 7 8 9 9 9 8 nan
nan 8 8 7 7 6 7 8 10 11 11 10 10 9 9 8 6 5 4 4 6 7 9 9 10 10 10 9 9 9 9 10 12 13 13 13 12 11 11 11 11 11 11 10 9 8 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 6 6 7 8 9 9 9 8 8 7 6 5 5 5 6 6 5 4 3 3 4 6 8 10 11 12 12 12 11 10 9 8 8 8 9 9 9 8 9 9 10 10 11 11 12 11 11 10 9 9 9 10 10 9 9 9 9 9 10 11 11 10 9 9 8 8 8 9 9 10 10 9 9 9 10 10 9 9 8 9 10 10 11 11 11 9 9 8 8 7 8 8 8 8 8 7 7 8 10 11 10 10 11 11 11 9 8 7 7 8 8 8 8 9 8 7 7 8 9 10 10 10 9 8 nan
nan 8 8 8 8 8 9 10 11 11 11 10 9 8 6 5 4 4 5 7 9 11 11 10 10 9 9 9 10 11 12 13 14 14 13 12 11 10 10 11 11 11 11 10 9 9 9 9 9 10 10 10 10 9 8 8 8 7 7 6 6 6 5 6 6 7 9 9 9 9 8 7 6 6 6 6 6 5 5 4 4 3 4 5 7 9 11 12 12 11 10 9 8 8 8 8 9 10 11 10 10 10 10 11 11 11 11 11 10 9 8 7 9 10 10 10 10 9 9 9 10 11 11 10 10 9 9 10 10 11 12 13 14 15 16 17 17 16 14 12 10 9 9 10 11 11 9 8 7 6 6 6 6 6 6 6 6 6 7 8 10 10 9 10 11 10 9 8 7 6 6 7 9 10 10 9 9 9 10 11 12 12 12 11 10 8 nan
nan 9 9 9 9 9 10 11 11 11 11 9 7 5 4 4 5 6 8 10 11 11 10 9 9 10 11 12 13 14 14 14 12 11 10 9 9 9 9 9 10 10 10 10 10 10 11 11 12 13 13 13 12 11 10 9 8 7 7 7 6 6 5 5 6 7 9 10 10 10 9 8 7 7 7 7 7 6 6 6 5 4 4 4 6 8 10 11 10 10 9 8 8 7 7 8 10 11 11 11 12 11 11 12 12 12 11 10 9 8 8 8 10 11 11 10 10 10 10 9 10 10 10 10 10 10 11 12 13 13 14 15 18 21 22 22 21 20 18 17 15 14 12 11 10 9 8 8 7 7 6 6 6 5 6 6 7 9 10 10 10 10 10 11 11 9 8 6 5 5 6 9 11 11 9 8 9 10 11 12 12 11 11 10 8 7 nan
nan 10 10 10 10 10 11 12 12 11 9 7 4 3 4 6 8 9 10 11 10 10 10 10 12 13 14 15 15 14 12 10 9 8 7 7 7 7 8 8 9 10 10 11 12 12 13 13 14 14 15 15 14 13 11 10 8 8 7 7 7 6 5 5 6 7 8 10 10 10 9 8 7 7 7 8 8 8 8 8 8 6 4 4 5 7 9 10 9 9 8 8 8 8 8 8 10 10 11 12 12 12 12 12 12 12 12 11 9 9 9 10 11 11 11 10 11 11 11 10 10 10 10 10 11 11 11 12 13 14 14 16 18 21 22 22 21 20 20 21 21 20 18 15 11 9 8 8 8 8 7 6 6 6 7 8 9 10 10 10 9 9 10 11 10 9 7 6 6 6 8 11 11 9 7 7 8 10 11 11 11 10 8 6 6 6 nan
nan 11 11 10 10 10 10 11 10 8 6 4 4 5 7 9 11 11 11 11 11 11 13 14 15 15 15 14 12 11 9 8 7 7 7 7 8 8 8 8 9 9 11 12 13 14 14 14 14 15 15 16 15 15 13 11 9 8 8 7 7 6 6 5 5 6 7 8 9 9 9 8 7 7 7 8 8 8 9 10 10 9 7 6 6 7 8 9 9 9 8 8 8 8 9 9 10 10 11 11 12 12 12 12 12 12 12 11 10 10 10 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 12 13 13 14 15 16 17 18 19 19 19 20 22 23 23 22 19 15 12 10 9 8 8 7 6 5 6 7 8 9 9 9 9 9 9 10 10 9 8 7 6 7 8 9 10 9 7 6 7 10 11 10 10 9 8 6 6 6 8 nan
nan 9 9 9 8 8 8 6 5 4 3 4 6 8 10 12 13 13 12 13 13 14 15 14 14 13 12 10 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 12 13 13 13 14 15 15 16 17 16 15 13 11 9 8 8 7 6 6 5 5 6 6 7 8 8 8 8 7 6 6 7 7 8 9 11 12 12 10 9 8 7 8 8 8 8 7 8 8 9 10 11 11 11 12 12 13 13 13 13 12 12 11 11 11 11 11 11 11 10 10 9 9 9 10 11 11 11 11 11 11 12 12 12 12 12 13 14 14 15 15 16 17 18 18 19 20 21 21 20 17 14 12 10 8 8 7 6 6 6 7 8 8 9 9 9 9 10 10 8 7 7 7 7 8 9 9 8 7 7 8 10 11 11 10 9 9 8 8 9 11 12 nan
nan 5 5 5 5 5 4 4 3 4 6 8 10 12 13 14 14 14 13 13 13 13 12 10 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 13 14 16 17 17 17 15 13 11 9 8 7 7 6 5 5 6 7 7 8 8 8 8 8 7 7 6 7 7 8 11 13 13 11 10 9 9 8 7 6 6 6 8 9 10 11 11 12 12 13 13 14 14 13 13 12 12 12 11 12 12 12 11 11 10 9 8 7 7 8 10 12 12 12 12 12 12 12 12 12 12 13 13 14 15 15 15 15 16 15 15 15 16 16 16 15 13 11 9 9 8 8 7 7 7 8 8 9 10 11 11 11 10 8 7 6 7 7 9 10 11 10 9 9 10 11 12 12 11 10 10 10 10 12 14 15 15 nan
nan 3 2 2 3 4 5 6 8 10 12 13 14 14 14 13 13 12 12 11 10 9 8 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 11 11 11 12 13 15 16 17 18 18 16 13 11 9 8 7 6 6 5 6 7 8 8 7 7 8 8 9 8 7 7 8 9 11 13 12 12 11 10 9 7 5 4 4 6 9 10 11 11 11 12 13 13 14 14 14 14 13 13 12 12 12 12 12 12 11 11 10 9 7 6 6 6 9 12 13 13 13 13 12 12 12 12 12 12 13 14 14 14 14 14 14 13 12 12 12 12 13 12 11 10 9 10 9 9 9 8 8 9 9 10 12 12 12 11 9 7 6 7 8 9 11 12 13 13 12 12 13 13 13 13 12 11 11 12 14 15 15 15 14 nan
nan 3 4 4 6 7 9 12 13 14 15 14 14 13 12 11 10 10 9 9 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 11 13 15 16 18 19 18 16 13 11 9 7 7 6 7 8 9 10 9 8 7 8 9 10 10 9 9 10 11 12 12 12 12 12 11 9 6 4 3 5 8 10 11 11 11 11 11 12 13 14 14 14 14 13 13 13 13 13 13 12 12 11 10 10 9 8 7 6 7 9 12 14 15 14 13 13 12 11 11 12 13 13 13 13 13 13 13 12 11 11 10 10 10 11 10 9 9 9 10 10 10 9 9 9 9 10 11 12 12 11 9 7 7 8 9 10 11 12 14 15 14 13 14 14 14 14 13 13 13 13 13 14 14 13 12 11 nan
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nan 11 13 13 14 14 13 12 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 10 10 10 11 12 13 16 18 18 18 16 14 11 9 8 8 8 10 12 14 13 11 10 10 11 12 11 10 9 10 11 11 10 9 10 11 11 9 7 4 4 6 8 10 11 12 12 12 12 13 13 13 12 12 11 11 11 12 13 13 13 13 12 11 10 10 10 9 9 9 10 12 14 15 15 14 13 12 12 12 13 14 15 15 14 13 12 12 11 12 12 13 14 13 12 11 10 8 7 8 8 8 8 7 7 7 8 8 9 9 10 9 9 8 7 7 7 7 7 7 7 7 8 9 11 12 12 10 10 10 11 12 12 12 11 10 9 9 nan
nan 14 14 13 13 11 10 9 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 8 8 8 9 10 10 11 11 12 13 14 16 17 17 17 14 12 10 9 8 8 10 12 13 13 12 11 11 11 12 11 10 8 8 8 9 8 9 10 11 12 10 7 5 4 5 7 10 11 11 12 12 13 13 12 11 11 10 10 10 11 12 13 13 13 13 11 10 9 9 8 8 8 10 12 14 16 16 15 13 12 12 13 14 15 16 16 15 13 12 11 11 10 10 11 12 13 14 15 15 13 11 9 9 9 9 9 9 9 8 8 8 9 10 10 10 9 9 9 9 9 9 8 6 4 4 5 6 9 10 10 9 9 10 11 12 12 12 11 10 9 9 nan
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nan 9 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 6 6 6 6 6 6 6 6 6 6 5 5 5 6 8 9 10 10 10 10 11 12 13 13 12 12 12 12 12 11 11 10 9 9 9 9 9 11 12 12 11 10 9 10 10 11 9 8 7 7 9 11 11 10 9 7 5 3 4 8 12 13 13 11 10 12 13 13 11 10 10 10 11 12 14 14 12 9 7 5 3 3 4 5 7 9 12 14 15 15 15 15 16 16 15 13 12 11 12 12 12 11 9 8 7 8 8 8 8 8 8 9 9 9 9 9 10 11 13 14 15 16 16 17 16 16 15 14 13 13 12 13 16 17 17 15 11 5 1 1 4 7 9 10 12 13 13 12 11 10 10 10 11 12 12 11 nan
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nan 9 9 10 10 9 9 8 8 8 8 8 9 11 13 14 14 13 12 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 10 10 10 10 10 11 11 12 12 12 12 12 13 14 15 15 15 13 12 11 10 10 12 13 14 14 14 14 15 15 14 14 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 13 14 13 13 13 14 15 15 14 14 13 12 11 11 11 11 11 11 11 11 11 10 10 10 9 8 7 6 6 5 6 6 7 7 7 7 8 7 7 6 5 5 6 7 8 9 8 7 8 nan
nan 9 9 9 9 9 8 8 8 8 8 9 10 12 13 13 13 12 10 10 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 12 12 13 13 13 14 13 13 11 11 10 10 11 12 12 12 12 11 11 11 11 10 10 10 11 10 10 10 10 10 10 10 10 10 9 9 9 9 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 12 11 11 11 11 11 11 12 12 12 13 13 13 13 12 12 13 12 12 12 12 13 13 13 13 14 14 14 13 13 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 8 7 6 6 6 6 7 7 7 7 7 7 7 6 6 5 5 6 7 8 8 8 9 nan
nan 8 8 8 8 8 7 7 7 8 9 10 11 12 13 13 12 11 10 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 11 11 11 12 12 12 12 12 12 13 13 12 12 12 11 11 10 11 11 11 11 11 11 10 10 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 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 13 13 12 12 12 12 12 12 11 12 12 12 12 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 9 9 9 nan
nan 8 8 8 7 7 6 7 7 8 9 10 11 12 12 12 11 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 11 11 12 12 12 11 10 10 9 9 9 9 9 10 10 10 11 11 10 10 11 10 10 10 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 10 9 nan
nan 9 9 9 8 7 7 7 7 9 11 12 12 13 12 11 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 11 11 11 12 12 12 13 12 12 11 10 9 9 9 10 11 11 12 12 12 11 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 9 9 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 9 nan
nan 10 9 9 9 8 7 7 8 9 11 12 13 13 12 11 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 11 11 11 12 12 13 13 13 11 10 9 8 8 8 9 10 11 11 12 12 11 11 10 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 nan
nan 9 9 9 9 9 8 8 9 10 11 12 13 13 12 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 11 11 12 12 13 13 13 12 11 10 10 10 10 9 9 9 9 10 11 11 11 11 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 9 8 8 9 10 10 10 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 nan
nan 10 9 9 8 8 8 8 8 9 11 12 13 13 11 10 9 9 9 9 9 10 10 10 11 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 11 11 12 13 13 13 13 12 11 10 10 11 11 10 9 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 12 13 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 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 12 11 11 11 11 11 nan
nan 11 10 9 9 8 7 7 7 9 11 12 13 12 11 10 9 9 9 9 9 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 13 13 13 11 10 9 9 10 10 9 8 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 11 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 12 12 13 13 13 13 14 14 13 13 13 12 nan
nan 12 11 10 10 8 7 7 8 10 11 12 12 11 10 10 9 9 9 9 9 10 11 11 12 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 11 12 13 13 13 12 10 9 8 9 9 8 7 7 7 8 9 10 10 10 10 10 10 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 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 12 14 14 15 15 16 16 16 16 15 15 14 nan
nan 13 12 11 11 9 9 9 9 10 12 12 12 11 10 10 9 9 9 9 9 10 11 11 12 12 11 11 10 9 9 9 9 8 8 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 10 11 12 12 12 12 11 10 9 9 9 8 7 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 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 12 12 12 12 12 12 13 13 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 13 14 15 16 17 17 18 18 17 17 16 15 nan
nan 14 14 13 12 11 11 10 10 11 12 12 11 11 10 9 9 9 9 9 9 10 11 11 12 12 12 11 11 10 9 9 9 8 8 8 9 9 9 10 11 11 11 12 11 11 10 10 9 9 9 10 10 11 11 12 12 12 12 11 10 9 8 8 8 8 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 10 10 10 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 13 13 12 12 12 11 11 11 11 11 12 12 13 13 14 14 15 16 17 17 18 18 17 17 16 nan
nan 15 14 14 14 13 12 12 12 12 12 12 11 10 9 9 9 9 9 9 10 10 11 12 12 13 12 12 11 10 10 9 9 8 8 9 9 9 9 10 11 12 12 12 12 11 11 10 10 9 9 10 10 10 10 11 12 12 12 12 11 10 9 9 9 9 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 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 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 12 12 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 12 12 11 11 11 11 11 12 12 13 13 13 13 13 14 14 15 15 16 16 16 16 16 nan
nan 15 15 15 14 14 13 13 13 13 12 12 11 10 9 9 8 9 9 9 10 12 12 13 13 13 12 12 11 10 10 9 9 9 9 9 9 9 10 10 11 12 13 13 12 12 11 10 10 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 11 10 10 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 11 11 11 11 12 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 12 12 11 11 10 10 10 11 11 12 12 12 12 12 12 13 13 14 14 14 15 15 15 15 nan
nan 15 15 15 14 14 14 14 13 13 12 11 10 9 9 9 9 9 10 11 12 13 13 13 13 13 13 13 12 11 10 10 9 9 9 9 9 9 10 11 11 12 13 13 13 12 12 11 10 9 9 9 9 9 10 10 10 11 11 10 10 10 11 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 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 12 12 11 12 12 13 12 12 11 11 10 10 10 9 9 9 10 11 11 11 11 11 12 12 13 14 14 14 14 13 13 13 nan
nan 14 14 14 14 14 14 13 13 12 11 10 9 9 9 9 10 10 11 12 13 14 13 13 13 13 13 13 13 12 11 10 10 9 9 9 9 10 10 11 12 13 13 14 13 13 12 11 10 9 9 9 9 9 10 10 10 10 10 10 11 11 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 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 11 11 12 12 11 11 11 11 12 12 11 11 11 11 12 11 11 10 10 9 9 9 8 8 8 9 10 10 11 10 10 10 11 13 15 14 14 14 13 13 13 nan
nan 14 14 14 14 13 13 12 12 11 10 9 9 9 9 9 10 11 11 12 13 13 13 13 14 14 13 13 12 12 11 11 10 10 10 10 10 11 11 12 13 13 14 14 13 13 12 11 10 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 10 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 10 9 10 11 12 12 12 11 11 11 11 12 11 11 11 11 11 11 10 10 9 9 8 8 8 7 8 8 9 9 10 10 10 10 10 11 13 14 14 14 14 14 14 14 nan
nan 13 13 13 13 13 12 11 11 10 10 9 9 9 9 10 10 11 12 12 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 12 12 13 13 14 14 14 13 12 11 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 10 10 10 10 10 10 10 11 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 10 9 9 10 11 12 12 11 10 10 11 11 11 11 11 11 11 11 10 10 9 9 8 8 7 7 7 7 8 9 10 10 11 10 10 10 11 12 13 13 13 13 14 14 14 nan
nan 13 13 13 12 12 11 11 10 10 9 9 9 9 9 10 11 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 14 14 13 13 12 11 11 10 10 9 9 9 9 9 10 10 10 10 10 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 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 10 9 9 9 9 10 10 10 10 11 12 13 14 14 14 13 13 13 13 14 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 10 10 10 11 12 12 11 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 8 8 7 7 7 7 8 9 10 10 11 11 11 11 12 13 13 13 13 13 13 13 14 nan
nan 12 13 12 12 11 11 10 10 9 9 9 9 10 10 11 12 13 13 13 13 12 12 11 11 11 11 12 12 12 12 12 12 12 12 13 13 14 14 14 14 14 14 13 12 12 11 11 10 10 10 9 9 10 10 10 10 10 10 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 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 10 9 8 8 8 9 10 10 10 10 11 12 14 15 15 15 14 13 13 13 13 13 13 13 13 13 13 12 11 11 10 10 11 11 11 11 11 11 11 12 13 13 12 12 11 11 11 11 11 11 11 10 10 10 11 11 10 10 9 9 8 7 7 6 7 8 9 10 10 10 11 11 11 11 12 13 14 15 15 14 13 13 nan
nan 12 12 12 12 11 10 10 9 9 9 9 10 10 11 12 12 13 12 12 12 11 11 11 11 11 12 12 12 13 13 12 12 12 12 13 13 14 14 14 14 14 13 13 12 12 11 11 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 10 10 10 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 10 9 9 8 9 9 10 10 11 12 13 14 16 16 16 14 13 13 13 12 12 12 13 13 13 12 11 10 9 8 8 9 9 9 10 10 11 12 12 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 9 9 9 8 7 6 6 7 8 9 10 10 10 10 10 10 10 10 12 13 14 15 15 14 13 nan
nan 12 12 12 11 11 10 9 9 9 10 10 11 11 12 12 13 13 12 11 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 9 8 7 8 9 10 12 12 13 15 17 17 16 15 14 13 12 12 12 12 12 12 12 11 9 7 5 4 4 5 6 8 9 11 12 12 12 13 13 13 13 13 13 12 12 11 11 10 10 10 10 10 10 9 9 8 8 7 6 6 6 7 8 9 10 10 10 10 10 9 9 9 11 12 13 14 14 14 12 nan
nan 12 12 11 11 10 10 9 10 10 10 11 11 12 12 12 12 12 12 11 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 11 10 8 7 7 9 11 12 12 12 14 16 17 16 15 14 12 12 12 12 12 12 11 11 9 6 3 1 1 2 4 7 10 12 14 14 14 13 13 12 12 12 13 14 14 14 12 11 10 10 10 10 10 9 8 7 7 6 6 6 6 6 8 9 10 11 11 11 10 10 10 10 10 11 11 12 13 13 13 12 nan
nan 12 11 11 11 10 10 10 10 11 11 11 11 12 11 11 11 11 11 11 11 10 10 10 11 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 11 13 13 14 13 12 11 10 9 8 8 10 11 11 11 11 12 14 15 15 15 13 12 12 12 11 11 10 10 9 6 2 0 0 2 5 8 12 14 16 17 17 15 13 11 10 11 12 14 15 15 14 13 12 11 10 10 10 9 8 7 7 6 6 6 5 6 8 9 11 12 12 11 11 11 11 11 12 12 12 12 12 13 13 12 12 nan
nan 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 11 10 10 10 12 14 14 14 13 12 12 11 10 9 10 11 11 10 9 10 11 12 14 14 14 13 13 12 11 11 10 9 9 7 4 1 1 2 5 9 12 14 16 18 18 17 14 11 9 10 12 14 15 15 15 13 12 12 12 11 10 9 8 7 8 8 9 8 6 6 7 9 11 13 13 12 11 11 11 12 13 13 13 13 13 13 13 12 12 13 nan
nan 12 12 12 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 13 13 13 12 12 11 11 11 11 11 12 14 14 14 13 12 12 11 10 10 10 11 10 9 9 10 11 12 13 13 13 13 13 12 11 10 10 9 8 7 4 3 4 6 9 11 13 14 16 18 18 16 14 12 11 14 15 16 15 14 13 13 12 12 12 11 9 8 8 9 10 11 10 8 7 7 8 10 13 14 14 13 11 10 11 12 14 14 14 13 13 12 12 12 12 13 nan
nan 12 12 12 12 11 11 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 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 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 13 13 12 12 12 11 11 11 11 10 10 9 9 11 12 12 12 12 13 13 13 12 11 10 10 9 8 7 6 5 5 7 9 11 12 13 15 17 19 19 17 16 15 16 17 17 16 14 13 12 12 12 12 10 9 8 8 10 11 12 12 11 9 7 8 10 12 14 14 14 13 11 10 10 12 14 15 14 13 12 11 11 11 11 12 nan
nan 11 11 11 11 11 12 12 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 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 12 12 12 12 13 13 12 12 12 13 13 13 12 11 11 11 12 12 12 12 11 11 11 11 11 12 12 12 12 12 11 10 10 10 10 11 11 11 10 9 10 12 13 13 13 12 12 13 12 11 10 9 8 7 6 5 6 7 8 10 11 12 13 14 16 19 20 19 18 17 17 18 18 16 14 13 13 13 12 12 10 9 9 8 9 11 13 13 12 11 10 10 11 12 13 14 14 14 12 11 10 10 12 14 15 15 13 12 10 10 9 10 10 nan
nan 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 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 12 12 13 13 13 13 13 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 10 9 8 8 10 11 12 12 11 11 12 13 14 14 14 13 13 13 12 10 8 6 5 5 5 6 8 10 12 12 12 12 13 15 17 19 19 18 17 16 17 18 19 18 17 16 15 14 13 11 10 9 8 8 9 9 10 11 12 12 12 13 13 13 14 14 13 13 12 11 10 10 11 13 15 15 14 12 11 10 10 10 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 1 2 3 4 5 6 7 8 7 7 8 10 11 12 11 10 11 13 16 19 22 25 25 26 28 28 29 30 30 32 34 36 34 30 29 28 26 25 26 26 25 20 16 13 12 11 10 10 10 9 8 6 6 6 6 5 4 8 15 22 27 32 37 40 31 27 30 34 34 31 29 29 30 34 34 33 35 37 37 37 35 32 32 32 29
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0 0 1 2 4 3 1 0 1 2 3 2 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 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 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 1 1 1 2 4 8 7 7 7 7 7 7 8 10 12 14 16 17 18 19 20 22 25 24 23 23 25 30 35 39 40 40 37 36 35 34 33 29 34 38 44 47 46 38 37 42 46 48 48 46 51 54 54 49 41 41 34 28 28 31 34 36 41 48 54 59 63 68 73 77 83 90 93 93 91 87 82 75 70 67 68 71 75 80 83 86 92 98 105 111 116 117 117 118
1 2 3 6 9 8 6 3 4 7 8 7 8 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 2 2 2 2 2 3 3 3 2 2 2 3 3 2 2 2 1 2 8 9 8 8 7 7 7 9 11 13 15 18 20 21 22 23 25 27 27 26 26 27 31 35 35 36 38 39 41 41 42 40 33 37 41 44 47 52 52 50 51 53 53 51 49 50 50 48 48 41 39 36 33 31 31 34 38 46 55 63 69 73 78 82 87 92 98 102 102 100 94 87 79 71 67 66 68 71 73 74 83 93 100 104 106 111 111 109 110
3 4 7 9 8 7 6 4 5 6 5 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 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 1 2 2 2 2 3 2 3 3 3 3 3 3 3 3 3 3 3 2 2 3 8 9 9 9 8 7 8 10 11 13 15 20 21 22 23 24 25 27 28 28 29 31 31 28 30 35 37 40 43 47 50 46 41 42 44 44 43 48 53 58 61 60 52 54 54 50 45 45 51 46 43 42 40 37 37 40 47 56 67 74 79 83 87 93 98 101 104 107 108 104 96 88 82 76 71 69 68 69 72 75 83 90 96 100 101 108 113 112 107
3 5 6 4 3 2 1 0 0 0 0 1 2 3 2 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 4 4 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 1 1 1 2 2 2 2 2 3 3 2 2 2 2 2 3 3 3 3 3 3 3 3 2 2 5 8 8 8 9 9 7 7 8 9 11 15 16 17 19 21 23 25 26 27 28 30 32 31 32 33 35 36 39 44 51 54 51 51 45 45 54 57 61 62 65 71 71 66 70 67 59 53 58 58 54 51 50 43 41 42 47 54 63 73 79 84 86 89 92 98 102 105 106 105 101 93 86 83 82 77 75 75 75 76 78 82 86 90 95 99 104 108 107 103
1 2 1 1 0 0 0 0 0 0 0 0 1 4 3 0 0 1 2 3 3 0 0 0 0 0 0 0 0 0 0 1 2 3 5 6 7 8 7 5 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 1 2 2 2 1 1 1 1 1 3 3 3 3 3 3 2 3 3 3 3 3 3 3 3 2 2 3 5 7 8 9 8 7 7 8 9 11 12 14 15 16 18 21 23 24 26 30 34 35 36 37 39 40 42 45 51 56 51 50 58 57 56 66 73 74 72 74 79 77 78 78 71 62 64 64 60 57 55 56 47 42 41 46 53 59 68 76 81 83 85 88 93 98 102 103 100 95 88 82 79 77 75 78 82 83 83 82 83 85 89 94 98 100 100 98 96
0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 2 5 6 4 1 0 0 0 1 1 2 4 7 9 11 11 9 9 9 8 9 10 9 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 1 1 3 6 7 6 5 5 6 7 8 11 12 13 14 15 19 20 23 29 40 43 46 50 54 55 48 50 58 64 64 54 52 53 54 59 70 77 82 83 79 76 76 76 72 63 54 59 61 59 58 58 57 52 45 38 36 47 58 67 74 78 79 80 82 88 94 98 98 93 88 83 83 79 81 84 89 92 91 89 88 88 89 93 95 95 94 91 89 91
0 0 0 0 0 0 0 0 0 0 1 6 6 3 2 4 6 4 5 6 6 3 2 3 5 5 5 7 10 12 14 15 15 13 12 10 10 9 11 13 11 7 5 4 2 1 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 3 2 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 2 3 3 3 3 3 3 3 3 3 3 2 3 3 3 3 3 2 1 1 1 1 2 1 1 2 3 6 8 9 10 12 14 16 20 25 34 48 54 57 58 58 57 50 56 66 74 74 62 61 57 53 60 73 81 85 82 74 68 74 74 70 67 65 63 59 57 57 58 57 53 51 51 54 60 69 76 77 75 76 80 85 91 96 97 93 88 83 83 89 87 87 90 95 99 100 102 105 104 100 93 87 83 79 74 70 68
0 0 0 0 0 0 0 0 0 0 2 10 11 9 7 7 5 5 6 7 6 7 8 8 10 11 11 12 15 17 18 19 19 15 13 12 14 15 17 17 15 12 10 8 4 2 2 2 1 0 0 0 0 1 2 3 5 6 8 9 9 7 3 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 2 3 3 3 4 4 4 4 4 4 3 2 2 2 2 2 3 2 1 0 0 0 0 0 1 3 6 8 9 9 11 13 15 17 23 34 47 54 57 56 57 61 61 65 71 78 80 78 73 66 63 67 80 86 89 86 80 74 73 73 73 69 65 62 58 55 57 57 55 52 52 59 65 74 84 90 85 80 84 89 95 98 100 98 94 90 89 100 105 105 103 101 98 101 101 99 94 90 106 90 73 63 56 54 53 55
0 0 0 0 0 0 0 0 0 2 6 11 12 13 12 10 7 9 9 8 7 10 12 12 12 13 14 16 18 20 21 21 19 17 16 17 19 20 20 19 17 14 11 7 5 5 5 5 4 3 2 2 2 2 2 4 8 12 16 18 18 14 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 3 3 4 4 3 3 2 1 1 1 2 3 2 0 0 0 0 0 0 2 6 9 12 14 15 13 13 16 22 37 51 57 56 54 57 61 60 64 74 80 82 81 81 82 85 90 91 93 96 95 89 85 82 78 75 71 68 65 62 59 57 54 51 53 59 67 73 84 96 104 96 93 98 103 104 102 102 102 100 95 92 109 119 122 120 117 109 105 98 87 81 78 80 70 57 49 44 45 46 48
0 0 0 0 0 0 1 3 4 7 10 6 7 10 13 13 13 15 15 14 15 17 19 19 20 20 19 20 19 16 12 8 7 15 20 21 22 23 22 20 18 15 11 10 8 6 5 6 6 4 3 2 2 1 5 11 17 22 25 26 25 22 17 10 4 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 1 2 2 3 2 2 3 3 3 3 3 1 1 1 2 2 3 0 0 0 0 0 0 1 3 6 9 12 11 6 8 16 22 37 51 56 55 57 68 69 61 60 78 81 82 84 87 90 94 102 104 103 102 102 89 86 86 83 79 76 74 72 69 64 62 61 64 70 77 83 91 101 110 112 102 98 103 109 109 109 111 110 104 94 93 100 104 110 120 123 112 95 80 76 73 67 59 53 49 48 46 46 45 45
0 0 0 0 0 1 3 6 8 9 10 6 5 8 11 12 9 14 18 20 21 21 25 25 23 22 23 21 17 12 7 7 13 20 24 25 25 25 24 22 20 16 12 12 12 10 8 6 4 2 2 4 8 11 17 23 27 30 33 33 32 29 23 14 7 2 0 0 0 0 0 0 1 2 2 1 1 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 3 3 2 1 1 1 1 2 0 0 0 0 0 0 0 0 1 2 3 2 1 3 9 17 29 39 44 46 52 62 68 64 56 81 86 87 88 88 85 90 97 99 97 97 98 91 87 87 87 85 82 81 80 78 70 70 72 77 85 97 102 107 112 111 104 103 109 116 120 116 113 110 104 94 85 88 96 101 103 112 111 95 76 67 75 70 65 61 57 54 55 53 48 42 42
0 0 0 0 0 1 5 9 10 10 9 5 5 9 11 10 11 16 20 21 19 15 18 20 22 23 20 15 14 15 17 22 27 28 28 27 26 25 25 23 18 12 12 11 13 12 7 3 2 3 7 13 19 23 26 29 32 35 37 38 37 33 27 19 9 3 1 0 0 0 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 2 1 2 2 2 1 1 1 1 1 0 0 0 0 1 0 1 1 1 0 0 0 0 0 1 4 12 23 30 34 35 37 47 59 66 69 93 103 97 86 84 87 89 90 91 91 97 97 92 86 82 92 90 91 94 94 91 82 78 80 88 104 118 114 107 105 97 100 112 122 124 122 114 104 96 91 82 78 84 95 104 98 98 89 75 63 61 64 64 63 60 58 58 58 55 48 42 44
0 0 1 1 1 1 6 10 12 12 10 7 11 15 16 14 18 22 23 17 11 19 14 16 21 24 24 23 21 19 20 23 22 22 22 19 15 12 14 15 11 8 22 18 14 9 3 0 3 12 21 26 28 29 30 32 36 39 43 45 44 37 28 22 10 3 0 0 0 0 0 1 1 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 1 1 0 0 0 0 0 0 2 4 2 3 3 2 0 0 0 0 0 0 2 10 18 25 28 30 34 46 56 59 67 91 114 118 106 100 97 96 97 100 93 95 97 99 97 94 103 109 110 107 106 96 88 90 100 114 124 129 117 98 89 86 86 99 117 116 106 97 90 87 89 85 83 89 96 90 80 73 67 63 62 62 63 63 58 51 52 55 55 52 49 46 46
0 0 0 1 1 3 11 14 16 16 15 12 21 25 23 18 16 17 16 16 18 19 18 19 23 26 26 26 20 18 18 16 10 11 8 2 0 1 5 11 16 19 24 17 10 6 8 21 28 34 37 38 37 36 36 37 39 41 41 39 37 35 31 23 12 3 0 0 0 0 0 0 0 1 1 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 0 0 0 0 1 4 5 6 7 8 10 6 5 8 10 4 9 17 23 25 27 29 34 43 50 55 64 70 84 101 109 110 110 105 102 109 100 98 96 99 114 118 116 112 108 107 117 114 115 122 130 132 129 116 99 85 84 89 95 103 108 102 95 90 89 91 93 90 83 81 88 75 67 63 62 62 61 57 53 51 49 50 52 53 51 47 49 46 43
1 2 3 4 5 7 12 16 17 17 15 8 20 26 25 22 22 22 20 18 18 21 19 16 16 17 22 21 20 19 18 15 9 12 9 3 2 5 13 22 28 26 17 15 16 21 29 45 50 51 51 49 48 45 43 42 41 37 38 45 54 58 50 31 15 4 0 0 0 0 0 0 0 1 1 2 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 3 5 6 8 9 12 14 23 34 41 38 51 49 38 27 28 33 39 45 50 54 60 58 59 69 77 80 83 83 85 90 88 90 106 133 128 118 104 97 104 109 124 134 141 146 142 119 103 89 80 81 87 95 100 101 97 94 91 89 89 93 94 91 87 82 72 65 65 66 67 65 57 51 48 50 48 50 52 50 43 41 47 49 44
2 5 6 6 7 10 13 13 12 12 14 18 19 19 22 25 25 21 24 28 27 18 10 8 10 16 18 14 12 12 14 22 11 6 3 4 9 20 31 37 37 36 38 40 43 47 53 59 61 61 60 57 53 39 28 24 26 37 50 64 72 72 61 44 27 14 5 2 0 0 0 0 0 0 1 1 1 2 1 2 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 2 3 4 5 5 5 8 16 29 41 49 52 47 35 22 26 32 39 45 48 48 51 52 55 58 58 57 57 57 59 60 59 56 58 76 90 86 75 73 92 85 97 112 119 110 105 95 88 86 88 93 96 99 101 99 95 94 93 94 96 99 96 92 88 78 66 67 70 70 67 60 53 48 45 48 48 50 50 47 40 42 45 44 41
4 7 6 6 7 10 11 8 7 11 18 26 29 29 26 25 25 24 23 21 15 9 4 3 5 8 9 12 14 12 9 16 10 8 11 18 26 38 45 48 50 54 60 63 64 64 67 70 71 70 67 60 52 41 40 50 62 67 75 82 85 85 77 65 51 35 20 8 2 0 0 0 0 0 1 1 1 1 1 1 1 0 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 1 1 2 3 2 1 2 9 20 19 24 28 33 36 21 21 26 33 41 44 46 49 53 55 55 50 47 44 41 39 35 34 35 35 30 33 35 34 37 44 46 63 80 85 78 81 83 87 92 98 102 104 103 101 96 94 95 98 101 104 102 99 97 93 82 72 72 75 70 62 55 51 49 44 46 48 49 49 45 42 41 43 45 45
6 8 8 9 10 11 12 12 17 23 26 27 25 25 25 27 31 27 21 13 6 6 5 5 6 8 12 15 13 8 5 6 9 14 20 27 36 43 45 46 49 55 61 66 70 72 75 78 79 79 76 63 63 67 72 75 76 79 86 92 97 98 93 83 70 55 38 19 6 0 0 0 0 0 0 0 0 1 1 1 1 0 1 4 5 4 2 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 1 2 1 3 8 17 31 20 19 23 32 45 50 52 55 57 58 52 46 41 37 33 27 22 21 23 26 24 22 15 8 14 20 40 59 64 52 52 59 75 93 103 105 106 106 106 105 101 101 101 102 105 105 102 101 103 99 91 82 77 73 68 59 52 48 46 46 45 45 46 45 43 43 43 43 46 47
9 12 15 18 21 24 24 25 30 36 40 43 46 48 49 49 43 35 27 19 11 10 7 9 11 12 12 8 5 4 2 4 9 14 20 25 31 31 30 32 37 46 51 58 66 73 80 86 89 85 76 79 91 96 96 91 87 91 97 104 110 112 108 100 88 74 56 35 12 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 4 6 6 3 3 2 2 4 5 5 3 1 1 1 2 4 5 4 5 4 3 2 0 0 0 0 1 1 1 5 9 11 15 15 17 24 36 57 57 60 65 67 67 59 53 51 48 40 34 31 33 40 35 24 18 13 4 3 7 15 20 22 31 47 68 92 112 116 115 112 110 105 108 104 100 99 103 105 100 99 103 111 104 96 86 74 66 63 57 50 43 44 46 45 44 45 43 40 42 46 46 48 48
14 18 23 28 32 36 35 37 40 44 48 51 54 56 58 61 52 41 30 19 9 7 6 7 10 13 14 9 6 5 1 1 4 11 16 15 17 18 20 24 33 40 47 55 65 75 84 87 94 100 104 110 113 113 111 107 104 106 111 116 122 125 122 115 104 90 73 52 23 2 0 0 0 0 0 0 0 1 1 1 1 1 1 1 3 6 6 3 3 4 5 6 5 3 3 2 3 4 9 17 24 23 20 15 12 11 11 4 1 1 3 6 16 28 35 31 26 21 26 40 60 78 91 98 101 99 92 93 99 101 87 92 114 132 127 90 60 33 14 5 1 0 1 2 4 13 33 55 79 104 121 124 120 115 114 110 109 107 103 99 99 95 91 93 103 111 107 97 83 68 58 57 55 51 47 48 46 43 41 43 43 41 41 47 49 51 51
19 25 31 36 40 43 42 41 42 42 44 47 50 55 59 57 45 32 22 14 8 6 4 4 7 13 14 9 5 3 2 1 3 10 16 15 14 13 16 25 37 41 47 56 67 80 88 90 95 103 108 115 121 125 126 125 124 125 127 131 136 139 135 128 118 103 86 67 38 9 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 1 0 1 1 1 4 11 19 18 16 15 22 36 46 44 36 27 20 18 25 18 13 15 17 29 47 62 67 63 61 64 73 85 87 98 106 113 122 134 131 136 145 152 152 163 177 181 162 127 90 55 28 7 2 1 0 0 2 13 27 47 73 101 123 127 121 113 114 114 110 107 107 98 93 87 84 87 100 102 99 93 83 71 63 59 56 52 48 48 45 41 38 39 46 50 49 52 55 56 56
23 26 31 33 34 33 34 36 37 40 44 48 50 49 44 34 23 12 8 8 10 12 12 11 9 9 5 2 1 1 3 9 12 15 17 15 17 26 33 38 43 52 61 70 77 84 88 94 100 107 114 121 128 135 141 143 144 144 145 147 149 149 146 139 127 110 89 63 33 8 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 1 13 26 39 48 50 44 40 43 52 57 54 45 34 24 21 27 35 41 41 35 37 50 67 78 77 73 62 46 35 54 77 88 95 114 127 137 146 155 167 173 178 184 190 195 180 136 93 65 50 67 57 35 22 6 14 26 43 74 106 126 130 125 119 117 111 103 99 103 93 80 68 66 83 92 92 89 86 80 71 64 57 51 48 47 46 44 42 39 38 43 52 57 57 56 56 55
18 19 20 21 21 21 23 28 34 39 40 39 34 26 18 10 6 3 2 4 7 8 8 5 3 2 1 0 0 1 3 15 17 18 19 21 27 34 41 50 60 69 74 77 77 78 86 96 105 113 120 126 130 136 144 154 158 161 163 164 165 163 159 150 135 110 84 48 17 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 1 0 0 0 1 9 42 57 58 56 55 56 57 59 61 63 59 52 41 23 21 26 34 42 46 43 44 52 63 70 54 41 27 14 17 34 50 63 70 83 98 123 148 161 163 158 161 172 182 173 141 113 92 79 91 108 116 119 110 97 102 97 85 96 116 129 134 131 124 119 116 110 99 94 83 68 58 66 84 86 80 72 71 69 65 57 48 41 44 43 42 43 40 40 43 48 53 53 53 52 51 49
5 5 5 6 7 8 10 14 18 20 19 16 13 10 7 4 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 10 15 18 24 31 40 49 59 68 77 82 84 84 84 86 94 105 114 121 125 123 117 116 130 156 169 176 180 183 183 181 175 164 142 91 60 35 14 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 1 1 1 2 9 48 59 58 54 49 49 50 54 59 63 67 68 65 57 33 30 34 38 38 42 46 51 57 60 52 26 10 4 3 6 11 18 25 30 41 75 114 144 162 155 147 152 165 158 134 109 89 79 80 102 116 119 121 135 136 126 114 110 120 121 120 120 117 117 116 113 108 96 86 77 65 50 56 71 79 75 58 56 59 59 55 47 49 48 46 44 45 42 44 47 49 49 48 47 48 49 47
0 0 0 1 3 4 6 8 9 9 8 7 6 4 3 2 0 0 0 0 0 0 0 0 0 1 2 4 6 8 10 16 20 25 31 38 47 56 66 75 81 86 89 89 87 90 99 108 116 122 122 118 110 110 126 155 177 189 195 198 197 195 189 178 158 128 94 53 14 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 2 3 9 34 48 51 48 45 42 44 48 54 59 63 66 67 68 65 59 56 55 51 34 43 52 60 65 67 42 19 5 0 0 1 1 1 3 8 23 66 115 142 158 163 150 138 150 132 117 106 99 96 98 105 107 105 97 97 100 102 104 115 122 119 112 109 111 111 105 95 85 74 62 54 53 60 71 72 70 70 55 54 57 61 61 52 49 45 42 41 42 43 44 45 44 46 46 46 47 48 44
0 1 2 4 6 9 14 17 19 18 13 7 4 2 0 0 0 0 0 0 0 0 0 0 1 3 7 10 11 13 16 18 20 25 32 42 50 60 68 75 78 78 79 80 80 84 91 98 107 115 115 116 117 119 126 144 171 192 203 207 206 203 197 186 173 156 123 65 4 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 1 1 4 14 36 39 36 34 39 40 45 52 57 59 57 56 55 54 54 56 60 64 64 44 48 61 72 73 72 44 17 0 0 0 0 0 0 0 5 24 68 123 147 159 173 174 158 149 127 125 130 124 112 96 74 49 32 10 23 38 49 60 85 95 93 89 98 99 95 87 75 60 42 24 16 26 40 49 46 38 51 51 54 61 67 64 53 44 40 40 39 40 40 41 41 43 44 44 45 46 42 38
4 8 11 13 13 14 16 17 18 17 10 2 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 10 13 16 18 21 25 31 39 48 58 66 71 70 64 61 61 64 68 72 78 86 95 103 109 115 118 119 122 135 161 186 205 215 215 207 197 190 182 169 148 95 16 3 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 4 19 25 26 26 27 38 44 51 56 58 57 51 46 41 39 38 38 42 47 50 48 59 68 68 62 53 33 13 0 0 0 0 0 0 1 13 47 93 135 151 157 163 163 142 110 108 124 140 140 129 107 63 5 2 1 0 2 8 14 30 30 21 26 42 55 58 50 35 21 10 3 1 2 6 12 11 3 19 26 47 78 84 69 53 41 38 41 41 42 43 43 41 43 46 48 49 48 42 37
8 11 17 18 18 20 19 17 13 7 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 12 16 19 23 27 30 36 45 54 63 70 71 65 54 51 53 57 61 68 74 81 88 95 105 114 121 126 129 136 153 175 199 221 217 206 195 186 178 168 158 121 42 7 0 0 0 0 0 0 0 0 1 1 0 0 1 1 2 1 0 1 8 16 21 25 30 41 49 55 58 57 55 48 40 31 25 21 20 23 28 32 39 52 57 47 35 23 12 4 0 0 0 0 0 0 0 23 63 107 135 146 146 146 148 136 123 128 136 135 135 133 124 95 32 16 6 1 0 0 0 2 2 0 1 0 5 8 2 0 0 0 0 0 1 1 3 4 6 10 12 20 45 60 68 59 39 36 39 42 45 46 46 46 47 49 52 53 52 50 49
18 21 25 26 24 22 18 13 9 4 0 0 0 0 0 0 0 0 0 1 2 2 1 2 5 9 12 15 18 22 27 31 35 40 48 58 67 74 75 67 56 52 52 57 63 71 77 83 88 94 103 114 125 134 137 142 151 163 178 196 197 192 184 175 167 163 160 138 73 15 0 0 0 0 0 0 0 0 1 0 1 2 3 6 8 6 3 2 7 16 26 32 36 43 49 54 57 55 52 45 35 23 12 7 7 10 13 18 21 28 33 30 21 11 3 0 0 0 0 0 0 0 0 24 64 108 121 124 126 130 136 140 138 134 129 119 112 103 87 66 52 37 25 15 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 2 6 9 10 9 11 20 23 17 18 31 51 57 38 37 39 42 45 47 46 46 47 51 56 56 53 47 40
27 29 29 28 24 17 12 8 4 1 0 0 0 0 0 0 0 0 2 5 6 6 6 6 7 10 14 18 22 25 29 35 42 50 58 67 75 82 84 77 67 60 59 63 70 76 80 83 87 92 96 106 120 131 136 141 147 157 168 179 184 182 176 167 158 157 157 146 102 27 1 0 0 0 0 0 0 0 1 0 0 2 5 10 11 9 6 5 14 25 34 37 38 42 47 53 56 55 48 36 24 13 6 3 3 4 5 9 10 12 16 19 16 7 0 0 0 0 0 0 0 0 4 23 53 88 105 112 115 117 120 123 119 109 97 84 77 71 63 51 52 54 55 53 30 16 8 3 0 0 0 0 0 0 0 0 0 0 0 0 5 11 16 15 14 20 27 27 25 26 32 40 37 38 40 43 44 47 48 48 49 55 57 58 59 60 62
30 28 23 19 15 12 7 4 1 0 0 0 0 0 0 1 1 3 5 7 8 9 9 10 12 15 18 22 25 28 33 41 50 59 68 77 85 93 97 93 84 76 71 70 75 78 79 79 79 83 86 96 112 129 143 155 160 163 172 179 182 179 172 161 155 152 149 142 115 44 8 1 0 0 0 0 0 0 1 1 1 2 7 9 10 9 9 12 24 32 35 32 31 36 44 53 57 52 41 26 12 8 5 5 4 4 2 6 7 6 6 5 2 0 0 0 0 0 0 0 0 0 5 19 41 44 56 72 89 110 104 97 88 80 71 58 57 63 70 69 70 71 71 74 60 53 44 29 13 8 15 20 8 7 4 1 0 0 0 1 3 11 34 26 19 19 23 24 27 31 34 35 36 39 41 42 41 42 44 44 44 50 54 57 55 45 33
24 20 17 14 10 6 2 1 0 0 0 0 2 3 4 5 7 7 8 9 9 10 12 15 17 19 22 25 28 32 41 49 58 66 75 84 93 103 110 110 101 92 84 80 79 78 77 73 69 70 77 90 108 129 144 150 157 168 176 181 181 177 169 159 152 146 140 132 113 57 16 1 0 0 0 0 0 0 0 1 1 1 5 8 8 8 8 12 21 25 24 20 20 28 40 51 54 47 33 18 7 7 6 6 6 4 2 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 6 17 34 58 86 73 58 51 53 57 61 67 72 70 67 75 79 73 70 64 69 81 84 71 83 103 107 69 53 33 15 0 2 13 20 25 38 67 51 30 23 21 22 28 34 33 32 33 34 36 39 41 43 44 45 44 48 52 55 52 41 35
17 14 11 8 5 4 3 3 3 2 2 3 6 9 10 12 12 13 13 13 14 15 18 21 23 25 29 31 34 42 53 62 70 76 82 91 101 111 119 121 112 102 94 88 82 77 73 70 68 70 74 85 104 130 147 152 156 165 175 180 181 177 166 155 147 139 133 124 106 64 24 0 0 0 0 0 0 0 0 0 1 0 3 5 5 5 6 12 17 19 17 12 15 24 37 46 44 37 24 11 6 6 7 8 9 5 4 4 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 20 28 22 19 30 55 70 81 87 83 75 73 72 69 69 67 62 65 82 89 104 121 134 135 129 100 70 42 15 26 42 52 60 71 73 59 38 22 18 23 30 33 29 28 29 30 31 33 36 40 44 47 49 52 55 55 57 51 43
9 8 7 7 8 9 9 10 9 8 8 9 11 14 18 20 21 21 22 22 23 26 28 30 31 33 37 41 47 56 67 76 83 87 91 98 107 115 123 128 119 107 95 85 78 74 71 67 64 63 68 82 106 133 147 151 151 157 169 176 180 179 169 156 145 135 127 117 103 74 36 0 0 0 0 0 0 0 0 0 1 0 1 2 2 4 5 11 15 16 12 10 13 18 25 31 28 22 14 7 5 6 7 9 10 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 8 20 46 68 81 87 88 83 75 73 73 71 73 69 67 73 90 108 117 124 133 130 123 98 68 58 47 46 48 55 71 76 68 54 38 27 22 24 29 27 23 23 25 27 27 29 31 34 41 47 52 55 56 62 64 58 50
4 6 8 10 12 14 15 16 16 15 15 17 19 22 26 29 31 32 32 32 33 34 36 37 39 43 49 55 62 71 80 88 93 95 100 105 110 115 122 131 126 114 98 82 74 73 73 71 69 68 75 90 115 135 143 145 144 145 158 167 175 179 175 162 146 132 120 112 103 84 51 0 0 0 0 0 0 0 0 0 1 1 0 0 1 5 7 10 13 14 10 9 10 12 18 22 18 11 5 4 5 6 7 8 9 8 7 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 23 51 62 72 78 77 70 66 65 65 62 53 66 67 67 80 100 110 107 100 108 117 106 82 64 62 57 51 48 53 65 65 59 49 35 34 32 28 27 23 22 22 23 24 23 25 26 29 35 43 49 55 56 63 64 56 44
5 9 12 14 16 18 20 21 22 22 22 26 29 32 34 37 40 42 43 41 40 39 40 41 44 50 58 66 75 82 90 96 100 104 108 110 110 111 118 128 128 119 102 82 70 74 80 78 74 73 80 95 118 128 132 133 134 134 144 154 164 174 178 166 144 120 105 101 96 87 66 14 3 0 0 0 0 0 0 0 0 0 0 1 4 10 13 12 12 13 10 8 8 10 14 15 9 3 2 3 5 6 7 7 7 8 9 9 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 37 80 89 87 77 65 57 57 60 60 52 35 30 34 53 90 102 94 80 74 95 112 100 70 62 57 51 47 46 52 57 56 53 51 40 34 31 30 29 27 25 24 23 23 22 21 22 24 30 37 44 52 58 64 60 45 40
10 13 15 18 22 26 28 30 31 31 31 34 37 40 42 45 47 50 51 51 50 48 46 45 48 56 65 75 84 91 98 102 106 110 111 112 111 112 117 125 126 118 104 88 83 83 83 79 73 72 80 94 107 111 112 113 115 119 128 140 154 166 169 157 129 96 80 84 81 75 64 26 7 0 0 0 0 0 0 0 0 0 0 2 9 17 18 15 12 11 9 6 5 5 7 6 4 2 2 4 5 5 5 6 7 8 9 11 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 34 63 74 66 45 28 26 36 49 60 64 58 44 33 44 95 93 72 57 65 100 108 87 55 45 42 41 40 45 53 56 55 51 48 40 34 31 30 28 27 26 26 24 25 25 24 23 23 28 34 41 46 51 56 57 45 39
16 18 21 25 30 35 38 40 41 41 42 44 46 48 49 50 52 55 58 60 61 61 59 57 59 65 73 82 91 98 103 107 109 111 111 113 115 116 115 117 117 114 107 103 100 94 86 76 68 67 73 83 89 90 87 86 93 105 123 143 156 152 144 132 116 99 90 77 64 53 47 25 8 0 0 0 0 0 0 0 0 0 0 2 8 14 15 13 10 8 6 5 4 3 3 3 3 2 3 3 3 3 3 3 6 8 10 12 8 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 13 16 20 14 6 0 0 8 25 47 67 79 85 88 89 98 106 89 63 49 71 93 87 58 42 40 45 46 41 48 53 56 55 51 47 42 37 34 31 28 26 26 26 24 24 25 25 25 25 28 33 34 33 36 42 44 40 38
23 26 30 35 39 42 45 47 49 51 53 54 55 56 56 56 60 63 63 62 58 64 69 71 72 75 79 84 90 96 102 106 109 111 111 112 112 109 106 106 106 107 109 109 104 96 85 73 67 65 67 71 74 73 70 77 107 139 154 159 151 123 113 108 103 95 80 57 38 28 24 17 6 0 0 0 0 0 0 0 0 0 0 1 3 7 8 8 7 5 4 4 5 4 4 3 3 2 2 1 1 1 1 2 4 6 7 9 6 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 3 1 0 0 0 0 0 8 27 55 69 84 92 91 75 92 98 92 74 61 83 84 62 43 39 42 44 45 48 52 53 53 53 51 47 41 36 36 31 28 26 25 24 22 21 22 24 25 27 29 32 35 36 38 40 42 42 41
35 38 41 44 47 50 54 57 59 61 62 64 67 70 71 71 69 65 58 52 47 58 70 78 82 84 83 82 84 88 96 103 109 113 115 113 109 104 101 102 105 109 114 112 106 97 85 74 68 65 63 62 60 59 61 79 130 160 155 135 115 95 89 88 86 82 75 39 13 5 7 6 6 7 5 1 0 0 0 0 0 0 0 0 0 2 2 3 2 2 2 3 5 4 4 3 2 1 1 1 1 1 0 1 2 3 5 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 1 6 20 51 70 87 92 80 75 97 108 106 96 84 90 86 67 53 44 43 48 51 52 53 51 47 48 48 45 40 37 35 32 29 26 24 22 21 20 19 21 24 27 30 31 33 34 35 40 44 45 46
44 50 52 54 56 59 64 67 69 71 73 75 79 82 82 81 71 59 48 40 43 49 59 71 86 89 88 85 83 90 99 105 109 116 121 121 116 112 112 118 124 127 125 119 110 99 87 76 69 65 61 57 52 48 52 68 94 104 104 99 89 75 67 63 63 61 56 38 19 8 1 0 9 18 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 3 2 1 1 1 1 1 1 0 1 1 2 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 1 4 14 47 77 96 93 62 88 106 110 99 101 97 86 67 42 39 38 39 44 46 47 47 47 45 47 45 42 42 39 35 31 27 25 23 21 18 17 17 20 24 28 31 30 31 34 39 45 43 41 44
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