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 11 12 12 11 12 12 13 13 12 12 11 10 10 9 9 10 10 10 10 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 9 9 9 8 7 6 7 7 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 12 12 11 11 10 9 9 10 10 11 11 11 10 9 9 10 12 11 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 10 9 9 9 10 11 12 12 11 11 11 11 11 10 8 7 6 7 7 6 6 6 7 8 8 7 7 7 8 10 10 9 9 8 7 7 8 8 8 8 8 8 8 9 8 8 9 9 9 9 8 9 9 9 10 10 11 nan
nan 11 11 11 11 12 13 13 13 13 12 10 9 9 9 9 9 9 8 6 5 5 6 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 9 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 12 12 11 11 10 9 9 9 10 10 10 10 9 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 10 10 9 8 8 10 10 10 10 10 10 11 11 11 10 10 10 11 10 9 7 6 6 8 7 7 7 8 8 8 8 8 8 8 9 10 10 9 9 8 8 8 8 8 8 9 8 8 8 8 8 8 9 10 9 9 9 9 9 9 9 10 10 nan
nan 9 9 9 10 11 12 13 13 12 11 10 9 9 10 10 9 8 7 5 5 6 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 8 8 7 6 6 6 7 8 8 9 9 9 9 9 9 10 10 11 12 12 11 11 10 10 11 11 11 11 12 12 12 12 11 11 11 10 10 9 9 8 9 9 10 10 9 8 8 8 8 8 8 8 10 10 11 10 10 10 10 10 11 11 11 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 8 7 5 5 6 8 8 8 8 8 8 9 9 8 9 9 9 9 9 9 10 9 9 9 9 9 10 9 9 9 9 8 9 10 11 11 10 10 9 9 9 10 10 10 10 nan
nan 7 7 8 9 10 11 11 11 10 9 9 9 10 10 10 9 8 7 7 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 7 7 8 8 9 9 10 11 11 11 11 11 11 12 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 7 7 9 10 10 10 9 9 10 10 11 10 10 8 7 7 8 8 8 8 8 8 7 7 7 7 6 6 7 8 8 7 6 6 8 9 9 8 8 8 9 9 9 9 9 9 8 8 8 9 11 11 10 10 11 11 10 10 10 10 9 9 9 10 11 11 10 10 10 10 10 10 10 9 9 nan
nan 7 7 7 8 8 9 8 8 7 8 9 10 10 10 8 8 7 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 10 11 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 10 10 9 8 8 8 9 8 7 6 6 6 7 8 9 9 9 9 8 8 8 8 7 7 7 8 9 9 8 8 9 11 10 9 8 8 8 9 9 9 9 10 9 9 9 9 11 11 11 11 11 11 11 11 10 10 10 10 9 9 10 11 11 10 10 10 10 10 10 10 10 9 nan
nan 8 7 7 7 7 7 6 5 6 7 9 10 10 8 7 6 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 12 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 9 9 10 10 9 8 7 7 7 7 7 7 8 9 9 10 11 11 10 9 9 10 11 11 10 9 9 10 10 10 10 11 11 11 10 9 8 8 10 10 11 10 10 10 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 11 11 10 9 10 11 11 11 11 11 10 10 nan
nan 8 8 7 7 6 6 6 5 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 12 12 12 13 13 13 12 11 11 11 11 11 11 10 9 9 9 8 8 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 7 7 7 8 8 8 7 7 8 8 8 8 8 9 9 10 9 8 8 7 8 9 10 11 11 11 11 11 11 11 10 10 10 11 11 11 10 9 9 10 10 10 10 10 10 9 8 8 8 10 11 12 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 9 9 9 10 12 12 12 12 12 12 10 nan
nan 9 8 8 7 7 7 6 6 6 6 5 5 6 8 10 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 12 13 13 13 13 13 12 11 10 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 8 8 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 9 10 10 10 10 10 10 11 12 12 12 11 10 10 10 10 10 10 9 10 10 10 9 9 8 8 8 8 9 9 9 9 8 8 8 10 11 12 12 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 8 9 9 9 9 10 11 11 12 12 13 12 10 nan
nan 10 10 9 8 8 8 8 8 7 7 6 6 8 10 11 12 12 12 12 12 11 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 11 11 12 13 13 13 13 12 11 10 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 10 9 8 8 9 9 10 10 10 10 9 9 9 9 8 7 7 8 9 9 9 9 9 8 9 11 12 11 10 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 10 11 11 12 12 12 11 10 nan
nan 10 10 10 10 9 9 9 9 9 9 9 9 10 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 10 11 13 13 14 13 12 11 10 9 8 8 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 11 12 12 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 11 12 12 11 10 11 11 11 10 10 10 9 9 nan
nan 10 10 11 11 10 10 10 9 9 9 9 9 9 9 8 7 6 6 6 6 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 9 9 10 12 13 14 13 12 11 10 8 8 8 8 7 7 6 7 7 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 9 10 10 9 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 8 9 9 10 10 11 12 12 11 10 9 10 10 10 10 10 9 9 8 8 9 10 10 9 9 10 9 8 7 7 7 9 11 12 12 11 10 10 10 9 8 8 8 8 8 nan
nan 9 10 11 11 11 11 11 10 10 9 9 8 7 6 5 4 3 4 4 5 6 6 7 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 9 11 12 14 14 12 11 9 8 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 7 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 11 12 12 11 9 8 8 8 8 8 8 8 9 8 8 8 7 7 7 8 8 9 9 9 8 8 8 9 10 10 11 11 10 10 9 9 9 9 10 10 10 9 9 8 8 10 10 10 10 10 9 8 7 7 7 8 10 10 10 9 9 9 9 8 8 8 8 8 8 9 nan
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nan 8 8 8 8 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 8 8 7 7 6 6 6 6 6 6 6 7 8 9 12 13 14 14 11 8 6 5 5 6 6 6 6 6 5 5 6 6 7 7 7 7 8 8 8 8 8 8 8 9 8 8 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 12 14 15 16 16 15 15 14 13 10 9 9 9 9 10 9 9 9 9 9 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 8 8 8 9 9 9 9 8 8 8 8 8 9 10 10 11 12 12 12 11 10 9 nan
nan 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 9 10 11 13 14 14 12 9 6 5 4 5 5 6 6 5 5 6 6 6 6 6 6 7 7 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 10 10 9 9 10 11 13 14 15 16 15 15 14 13 11 9 8 8 9 10 10 9 9 9 9 9 9 8 8 7 8 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 8 8 8 8 9 10 11 11 12 12 12 12 11 10 9 9 nan
nan 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 13 14 13 11 8 6 5 4 5 5 5 5 5 6 6 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 10 11 12 12 13 13 13 12 11 9 8 7 7 7 8 9 9 9 10 10 10 9 8 7 7 8 9 9 9 9 8 8 7 6 6 6 6 7 8 9 9 9 9 10 10 10 10 10 10 10 10 9 10 10 9 10 10 10 10 9 8 8 8 8 8 9 10 11 12 13 13 12 11 11 11 10 10 10 10 nan
nan 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 12 10 7 5 5 5 5 6 6 6 6 7 7 8 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 9 9 8 7 7 7 8 9 10 11 11 11 10 8 7 5 5 5 6 6 7 7 8 9 10 9 8 8 8 8 8 8 8 7 7 6 5 5 5 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 7 8 8 10 11 12 13 14 14 13 12 11 11 10 11 11 12 12 nan
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nan 8 8 7 7 8 8 8 9 9 9 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 13 14 14 13 12 9 7 5 5 5 6 7 8 9 8 8 8 7 5 4 4 4 5 7 10 13 14 13 12 10 9 9 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 10 9 8 8 9 8 7 7 8 10 12 13 15 16 17 17 16 14 12 9 7 6 6 5 5 5 6 6 6 5 4 4 4 4 5 7 8 8 7 6 6 7 7 8 8 9 9 9 10 10 9 9 10 10 9 8 7 6 6 6 6 7 7 8 9 10 10 10 9 8 9 11 13 14 14 13 12 10 9 9 9 11 11 10 9 8 9 nan
nan 8 8 7 8 8 8 9 9 9 10 10 11 11 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 12 10 9 8 7 8 8 8 8 7 7 7 6 6 5 4 4 4 4 4 6 10 13 15 14 12 9 9 10 10 10 9 9 9 10 10 10 9 9 10 10 10 9 9 9 9 9 10 9 9 9 10 11 12 14 15 17 17 18 17 15 12 9 7 6 7 8 9 10 10 10 10 8 6 4 3 2 3 5 6 7 8 6 6 6 7 7 7 8 8 9 9 10 10 10 10 9 8 7 6 6 6 7 7 8 9 10 12 13 12 11 10 10 11 12 13 14 14 12 11 9 8 8 9 9 9 8 8 8 9 nan
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nan 6 6 7 8 8 9 10 10 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 10 11 12 11 11 10 10 9 9 8 7 6 6 5 5 5 5 5 5 4 4 4 4 6 10 15 17 15 12 11 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 8 8 9 10 11 10 9 8 7 7 8 9 8 8 10 12 14 14 13 12 11 10 8 7 7 7 7 6 5 4 3 2 3 4 6 6 6 6 6 6 6 7 8 8 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 11 12 13 14 14 14 13 12 10 8 6 5 5 5 7 8 9 10 10 10 nan
nan 7 7 8 9 10 11 11 12 12 13 13 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 10 11 11 10 9 9 9 9 8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 6 9 14 16 16 14 12 11 10 10 9 9 10 10 10 10 9 9 8 8 9 9 10 10 10 10 10 10 9 8 8 9 10 10 9 8 7 8 9 10 11 11 11 12 12 13 13 11 10 8 6 6 6 7 8 9 10 10 10 10 8 6 5 4 4 4 5 6 6 6 6 6 7 7 8 8 9 9 8 7 7 7 9 9 10 9 8 9 9 10 11 12 14 14 14 12 10 8 6 4 4 5 6 9 10 11 11 10 9 nan
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nan 9 9 9 9 10 11 12 13 13 13 13 13 13 13 12 11 10 10 9 9 9 10 10 10 11 11 12 13 13 13 12 11 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 8 8 8 7 7 7 7 6 5 5 5 6 6 6 6 6 6 6 6 8 12 16 18 17 14 12 11 9 9 10 11 11 11 10 9 9 9 10 10 10 9 9 10 10 10 9 8 8 8 9 9 9 9 11 12 14 14 14 13 13 11 10 9 8 7 8 8 9 10 11 13 16 18 19 18 17 16 16 16 15 13 10 6 4 3 3 5 7 8 7 6 6 6 6 6 7 7 8 9 10 11 12 12 12 12 11 9 8 8 9 11 12 12 9 6 4 2 3 5 8 10 11 11 11 9 8 7 nan
nan 8 8 7 8 8 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 10 10 10 11 11 11 11 11 10 9 9 9 9 8 8 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 10 10 9 8 7 7 7 7 7 6 6 6 6 6 6 6 7 6 6 6 7 9 12 16 19 18 15 12 10 10 10 10 11 11 11 10 9 9 9 10 10 10 10 10 10 11 10 9 9 8 9 10 10 10 11 12 13 13 13 13 12 11 10 9 8 8 8 8 9 11 13 14 15 17 18 18 18 17 16 17 17 17 17 16 13 10 7 6 6 7 8 8 8 7 8 8 9 9 10 10 11 11 12 12 12 13 13 12 10 9 10 10 12 12 11 8 5 2 2 4 6 8 9 9 9 8 7 7 7 nan
nan 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 11 12 12 11 9 7 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 9 12 17 21 20 16 13 10 10 11 11 11 11 10 10 9 8 9 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 13 13 13 12 11 9 8 8 7 8 8 9 9 10 11 12 13 14 14 13 14 15 17 18 19 20 21 21 20 18 16 14 12 10 9 9 9 9 9 9 10 11 10 10 9 9 9 10 11 12 12 12 11 11 12 12 13 12 10 7 5 4 6 7 9 9 9 9 8 8 7 8 9 nan
nan 5 5 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 6 6 6 7 7 7 8 8 8 9 9 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 10 10 11 11 12 12 11 9 7 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 8 10 14 20 23 21 17 13 10 11 12 13 13 12 11 10 9 10 10 11 11 11 11 11 11 11 11 12 12 10 10 9 9 9 10 12 14 15 14 12 10 8 7 7 7 8 8 9 9 9 9 10 10 10 10 10 11 13 14 16 17 19 20 21 21 22 21 19 16 13 11 10 10 10 10 10 11 10 9 8 7 7 8 9 10 11 11 11 12 12 13 14 13 11 9 8 8 8 9 10 11 11 11 10 9 9 9 11 13 nan
nan 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 3 4 5 5 6 7 7 7 7 8 8 8 9 9 9 10 10 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 11 11 12 12 11 9 8 7 6 6 7 8 8 7 6 6 6 6 6 6 5 6 7 9 12 17 22 22 20 16 12 10 11 12 13 13 13 12 11 10 11 11 11 11 11 11 11 11 10 11 12 13 12 10 9 9 9 10 12 15 16 14 11 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 12 13 15 15 15 16 17 17 16 14 12 11 11 10 10 10 10 9 8 8 8 7 7 8 9 10 11 11 11 12 13 14 15 13 12 11 11 12 12 13 14 14 13 12 12 11 11 12 14 15 nan
nan 5 5 5 5 5 5 6 6 6 6 5 5 6 6 6 7 7 8 9 9 9 10 10 11 11 11 11 11 10 10 10 10 9 9 9 10 10 11 11 11 11 11 10 9 9 9 9 9 9 10 11 11 11 11 12 12 12 11 10 8 7 6 6 6 6 6 5 5 5 5 5 6 6 5 6 7 10 15 20 22 21 18 15 12 11 12 12 12 11 11 11 11 11 10 10 11 11 12 12 11 11 10 11 12 13 12 11 10 9 9 11 13 16 16 14 11 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 10 10 9 9 9 8 7 6 6 7 7 7 8 8 9 10 10 12 13 14 15 15 14 13 14 15 15 15 16 16 15 13 12 11 11 11 12 13 14 nan
nan 6 6 6 6 7 8 8 9 8 8 8 9 9 10 10 11 11 11 11 11 11 11 12 13 13 13 12 11 10 10 10 9 9 9 9 10 10 11 11 11 10 10 10 9 9 9 9 9 9 10 11 11 11 11 12 12 12 11 10 8 7 7 6 5 3 3 3 4 5 5 5 5 6 6 6 8 12 17 20 21 18 15 13 12 12 12 12 11 10 10 10 10 10 10 10 11 12 12 12 11 11 11 11 12 12 12 12 10 9 10 11 13 17 17 14 11 8 7 7 8 9 9 10 9 9 9 8 8 9 9 9 10 10 10 10 10 9 10 10 9 7 5 4 4 5 6 7 7 6 6 5 4 4 5 5 6 6 6 7 7 8 9 10 11 13 14 15 15 14 14 14 15 15 15 15 14 13 12 10 9 8 9 10 11 11 nan
nan 9 8 8 8 9 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 12 12 13 13 12 11 10 10 10 9 9 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 11 11 12 12 11 10 8 7 7 6 6 5 4 4 4 5 5 5 5 6 6 6 9 13 17 19 17 14 12 12 12 12 12 12 11 10 10 10 10 9 9 9 10 11 12 12 11 11 11 11 11 12 12 12 10 9 9 10 15 19 18 15 11 7 5 6 8 9 10 10 10 9 8 8 8 8 8 9 9 9 9 9 9 10 11 11 11 9 6 5 4 4 3 2 2 2 1 1 1 2 3 4 4 5 5 6 7 8 8 9 10 11 12 12 13 13 13 12 12 11 12 12 12 10 9 8 7 8 8 9 10 10 nan
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nan 9 10 10 10 10 11 11 12 13 14 15 15 15 15 15 14 13 13 12 11 11 10 10 10 10 10 10 9 9 9 9 9 9 8 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 10 10 10 11 13 13 14 15 15 13 12 10 9 9 8 7 6 4 3 3 4 5 7 9 12 13 14 12 10 9 9 9 9 10 9 9 9 9 10 11 11 11 11 11 11 11 11 9 9 9 9 10 11 11 11 11 9 8 8 8 8 9 9 9 6 3 1 2 4 6 7 8 8 9 9 8 8 8 8 8 9 11 11 12 11 10 8 8 8 8 8 8 10 11 13 15 16 17 18 19 21 22 22 22 22 21 19 18 17 19 20 22 23 21 17 13 10 8 7 7 8 9 10 9 9 8 7 8 8 9 10 11 nan
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nan 14 15 16 15 14 12 12 11 11 11 11 11 13 13 12 11 9 8 7 8 10 11 11 11 10 9 9 9 9 10 11 11 12 12 12 12 13 13 13 13 14 14 15 15 15 15 14 14 12 12 12 12 12 12 11 11 12 13 15 15 15 14 13 13 14 18 21 22 21 20 19 17 17 15 14 12 11 11 10 10 10 10 10 11 11 10 10 9 9 9 10 10 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 11 11 11 12 12 13 13 13 13 13 13 12 11 10 10 11 12 12 11 11 10 10 10 10 10 11 11 11 11 12 12 13 14 15 15 15 15 14 14 13 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 nan
nan 12 14 14 13 12 10 9 9 9 8 9 10 12 12 12 11 9 8 9 9 11 11 12 12 11 10 10 9 9 10 10 11 11 12 12 12 13 13 13 14 14 15 15 15 15 15 14 13 13 13 13 13 12 11 10 9 9 10 11 12 12 11 11 12 13 15 16 16 15 14 13 12 12 12 11 10 10 10 10 10 11 11 11 11 11 10 10 9 9 10 10 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 12 12 13 12 12 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 13 14 15 15 16 15 15 14 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 nan
nan 10 11 11 10 8 7 6 6 6 6 7 9 10 11 11 11 10 10 11 11 11 12 12 12 12 11 11 10 9 9 9 10 11 12 13 13 12 13 13 13 14 14 15 15 15 14 13 13 13 13 13 12 11 10 9 9 8 9 10 10 10 10 11 12 13 13 13 12 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 11 11 12 12 12 11 11 10 10 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 13 15 16 16 16 15 15 14 14 14 14 13 13 13 12 12 12 11 11 11 11 11 12 12 12 12 12 12 nan
nan 11 11 10 9 7 5 4 4 5 6 7 9 10 11 12 12 12 12 12 12 12 12 13 13 13 13 12 11 9 9 10 10 12 13 13 13 12 12 12 12 13 13 13 14 14 13 13 13 13 13 12 11 10 9 9 8 8 9 10 10 10 10 11 11 12 11 11 10 10 10 11 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 13 15 16 16 16 15 15 13 13 13 13 13 13 13 13 12 12 11 10 10 10 11 11 12 12 13 13 nan
nan 12 12 12 10 8 5 5 5 7 8 9 10 11 12 12 13 13 12 12 12 12 13 13 14 14 13 13 12 11 10 11 12 12 12 12 12 11 11 11 12 12 12 13 13 13 13 13 13 13 13 12 10 9 9 8 8 9 9 10 11 11 11 11 10 10 9 9 9 10 11 11 12 12 12 12 11 11 11 11 11 11 11 10 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 12 12 12 12 12 11 11 10 11 11 11 11 11 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 14 15 16 16 16 15 13 12 12 12 13 14 14 14 13 12 12 11 10 10 11 11 11 12 12 13 nan
nan 11 12 12 11 9 7 6 7 8 9 10 11 12 13 13 14 13 13 12 12 12 12 12 13 13 12 12 12 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 13 13 13 13 13 14 13 12 11 10 9 9 9 9 10 11 12 12 11 10 8 8 8 8 9 10 11 12 12 12 12 12 12 11 11 11 11 11 10 10 9 9 10 10 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 10 10 10 10 11 12 13 13 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 15 16 17 16 15 14 12 12 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 nan
nan 10 11 11 10 9 8 8 8 9 9 10 12 13 14 14 14 13 12 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 14 14 14 13 13 11 10 9 9 9 10 10 10 10 9 8 7 6 7 7 8 9 10 11 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 11 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 9 10 11 12 13 13 13 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 10 11 11 11 11 10 10 10 11 11 11 12 13 15 16 17 17 16 15 14 14 15 15 15 14 13 12 12 12 12 13 14 14 15 15 14 13 nan
nan 10 9 9 9 9 9 9 8 9 9 11 12 14 14 14 13 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 14 14 15 14 14 13 12 10 10 10 11 11 10 8 6 5 5 6 7 7 8 8 9 10 11 12 12 12 12 12 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 10 10 11 11 11 11 11 11 11 11 10 11 10 10 9 10 11 13 14 13 13 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 12 12 13 15 16 16 16 16 16 16 16 17 17 17 16 16 14 13 12 12 13 13 14 15 16 16 16 nan
nan 11 9 9 8 8 8 8 8 9 10 12 14 15 14 13 12 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 12 12 12 12 12 12 13 14 14 15 15 15 14 14 12 11 10 11 11 11 10 7 5 4 5 6 7 8 8 8 9 10 11 12 12 12 12 11 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 11 11 11 10 10 10 12 13 14 13 13 12 12 12 12 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 10 11 11 11 12 12 13 14 15 15 14 14 15 16 16 17 18 18 18 18 16 14 13 12 11 12 13 14 15 16 16 nan
nan 13 11 10 9 9 8 8 9 10 11 13 14 15 14 13 12 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 13 13 13 14 14 15 14 14 13 12 11 11 11 12 12 11 9 7 6 5 6 7 8 8 9 10 11 12 12 12 12 11 10 10 9 9 9 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 11 11 11 11 12 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 11 11 11 11 11 11 10 10 11 11 11 12 13 14 14 14 13 13 13 14 14 15 16 17 18 18 17 15 14 12 11 11 11 12 13 14 15 nan
nan 15 14 12 11 11 11 11 11 12 13 14 14 14 14 13 13 12 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 12 12 13 13 14 14 12 10 8 7 7 8 8 9 10 11 12 12 12 12 12 11 10 9 9 9 9 10 11 11 12 12 11 11 11 11 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 12 12 12 12 12 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 11 11 12 11 11 11 11 11 10 10 12 13 14 15 14 13 12 13 13 13 13 13 14 15 16 16 15 14 12 11 11 10 11 11 13 14 nan
nan 17 16 14 13 13 13 13 13 13 14 14 13 13 13 13 13 13 13 12 12 11 11 10 10 9 9 10 10 10 11 11 11 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 13 14 15 16 15 13 11 9 9 9 10 11 12 12 12 12 12 12 11 10 9 9 9 9 9 10 11 11 12 12 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 12 12 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 11 12 12 12 11 11 11 11 10 10 11 12 12 14 14 14 13 13 13 13 12 13 13 13 13 14 14 14 13 12 12 11 10 10 11 12 13 nan
nan 16 16 15 14 13 13 13 13 13 13 13 12 12 12 13 13 12 12 12 11 11 10 9 9 8 9 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 13 13 13 13 14 15 16 16 14 13 11 11 11 11 12 12 12 12 11 11 11 11 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 13 13 12 11 11 11 11 12 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 10 10 11 11 12 12 11 11 10 10 10 10 11 11 12 13 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 10 11 11 12 nan
nan 14 14 14 14 13 12 12 11 11 12 12 11 11 11 12 12 12 11 10 10 9 9 8 8 9 9 10 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 11 11 11 11 12 12 13 13 14 15 15 14 13 13 12 12 12 12 12 11 11 11 11 10 10 10 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 12 12 11 11 12 12 12 12 12 11 11 11 11 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 12 13 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 10 10 10 11 11 nan
nan 13 13 14 14 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 9 8 8 9 9 10 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 13 13 13 13 13 12 12 12 12 12 12 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 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 13 13 13 13 13 12 12 13 13 13 12 12 12 12 12 12 12 12 11 11 11 10 11 11 nan
nan 13 13 13 14 14 13 12 12 12 12 12 12 11 11 11 10 10 10 10 10 9 9 10 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 12 12 13 13 13 12 12 12 12 12 12 12 11 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 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 11 11 11 12 12 11 11 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 11 11 nan
nan 13 13 13 14 14 14 13 13 13 13 12 12 11 11 10 10 10 11 10 10 11 11 12 13 13 13 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 12 12 12 13 13 13 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 10 11 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 11 12 12 12 11 10 10 10 10 10 11 11 11 11 11 11 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 nan
nan 12 12 13 13 14 14 14 14 13 13 12 11 11 10 10 10 11 11 11 11 11 12 12 13 13 12 12 12 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 13 12 12 12 12 12 11 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 9 9 9 10 11 12 13 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 11 11 10 9 10 11 12 12 11 11 10 10 10 10 10 11 11 11 11 11 12 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 11 10 10 nan
nan 12 12 12 13 13 13 14 14 13 12 11 11 10 10 10 11 11 11 11 11 11 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 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 10 9 9 10 10 11 11 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 10 10 11 11 12 12 12 11 11 11 11 12 12 12 11 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 12 12 12 12 12 12 12 12 12 12 11 11 10 10 11 11 11 12 12 12 12 12 12 nan
nan 12 12 12 12 13 13 13 13 12 12 11 11 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 10 9 9 9 9 9 9 10 10 10 10 10 10 11 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 11 9 9 9 10 11 11 12 12 13 13 13 12 12 12 12 12 12 12 12 12 11 11 10 9 9 10 11 11 11 11 11 12 12 13 13 13 12 11 11 10 10 10 10 11 10 10 10 10 10 11 12 13 13 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 12 13 13 nan
nan 11 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 11 12 12 12 12 12 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 12 12 11 11 10 9 9 10 11 11 12 12 12 12 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 11 11 11 12 12 13 13 12 11 9 9 8 9 11 11 12 12 13 13 13 12 12 12 12 12 12 12 12 11 11 9 7 7 7 7 8 8 9 10 11 12 13 13 13 12 12 11 11 11 11 11 11 11 10 10 9 9 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 12 13 13 nan
nan 11 11 12 12 12 12 12 12 12 12 12 12 11 10 10 9 9 10 11 12 12 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 12 11 11 11 10 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 12 12 11 11 11 11 10 10 10 10 10 11 11 12 13 13 12 11 10 9 8 8 9 10 11 11 12 13 13 13 13 12 12 12 11 11 11 11 11 9 7 5 3 2 3 3 5 8 10 12 13 13 13 13 12 12 11 11 12 13 13 13 11 10 9 9 9 10 11 12 12 12 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 11 12 12 nan
nan 11 11 12 12 12 12 12 12 13 13 13 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 12 12 13 13 12 12 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 13 13 12 11 10 9 8 8 8 9 9 10 11 13 13 14 14 13 12 12 11 11 11 10 10 9 7 4 1 -1 -1 0 3 7 11 15 17 17 16 14 13 12 11 11 12 14 15 15 13 11 10 9 9 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 10 10 10 11 12 12 12 11 11 11 nan
nan 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 11 12 12 12 12 12 11 11 11 10 10 10 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 11 10 9 8 8 8 8 8 9 11 13 14 14 13 12 12 11 11 10 10 9 9 8 5 1 -2 -3 -0 4 8 13 17 20 22 21 17 14 11 10 11 12 14 15 15 14 13 11 11 10 10 10 11 11 11 11 12 11 11 11 11 12 12 12 12 11 12 12 11 11 11 10 11 11 11 11 11 11 10 10 nan
nan 11 12 12 12 12 12 12 12 12 12 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 11 11 11 12 12 12 12 12 12 11 11 11 11 12 12 12 12 11 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 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 14 13 12 11 10 10 9 8 8 7 8 9 11 12 13 13 12 11 10 10 9 9 9 9 9 8 4 -1 -2 -0 4 9 13 17 20 22 23 21 17 13 10 11 14 16 16 16 15 13 12 12 11 11 11 10 10 11 12 13 13 12 11 10 11 12 12 12 12 11 12 12 11 11 11 11 11 11 11 11 11 10 10 10 nan
nan 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 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 11 11 12 12 12 12 12 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 12 12 13 13 14 14 14 14 13 12 12 11 10 9 8 8 9 10 10 11 11 12 11 10 9 9 8 9 9 10 10 9 7 3 1 2 5 10 13 15 17 20 23 23 20 17 14 15 18 20 20 18 15 13 12 12 12 11 11 11 11 11 12 13 14 13 12 11 11 11 12 12 12 12 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 nan
nan 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 12 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 11 11 12 12 12 12 13 13 14 14 14 14 13 13 13 12 11 10 9 8 8 9 10 10 10 11 11 10 10 9 8 8 8 9 9 9 7 5 3 4 6 10 13 14 16 18 20 22 22 20 19 19 21 23 23 21 17 14 12 12 11 11 10 10 10 11 13 13 14 13 13 13 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 11 11 11 10 nan
nan 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 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 11 12 12 13 13 13 13 12 12 12 12 12 12 13 13 14 14 14 14 13 13 13 13 12 12 11 10 9 8 9 10 10 11 11 11 10 9 8 7 7 7 7 7 6 5 4 6 8 10 12 13 15 16 18 20 21 21 20 19 21 23 24 23 20 17 15 13 12 10 9 9 9 10 12 13 14 14 13 13 13 13 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 nan
nan 11 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 11 11 11 11 11 11 11 10 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 13 13 14 14 14 13 13 13 13 13 13 12 11 11 9 8 8 8 9 11 11 12 11 10 10 8 6 5 4 4 4 4 5 7 10 12 12 13 13 14 16 17 19 20 19 17 17 19 21 24 24 22 21 18 14 11 9 8 8 8 10 12 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 3 2 1 0 0 2 6 2 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 4 2 1 1 2 1 3 3 4 5 6 4 2 3 3 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2
1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 1 1 4 6 5 4 2 1 0 0 0 0 0 0 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 1 2 2 2 2 3 3 3 3 3 3 4 4 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 12 19 18 12 5 2 1 1 1 2 2 3 4 5 4 3 1 2 6 9 2 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 0 1 3 2 2 1 1 1 1 1 1 0 1 2 4 4 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0
3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 4 5 19 33 36 24 3 1 1 1 1 2 5 6 7 8 7 5 3 2 7 13 4 1 0 0 0 0 3 3 2 2 1 0 0 0 0 1 1 4 3 3 2 1 2 3 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 2 1 1 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 0
5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 4 6 9 12 17 17 20 24 22 6 1 1 2 2 3 3 5 5 5 5 5 4 5 3 2 4 1 0 0 0 0 1 2 3 6 13 20 6 1 1 2 2 1 5 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 4 5 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
10 10 10 9 8 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 6 7 9 9 7 5 6 8 9 9 8 3 2 1 1 2 2 1 2 2 2 2 4 3 3 2 1 0 0 0 0 0 1 2 4 4 10 21 13 4 2 3 5 6 2 2 2 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 3 4 5 5 6 7 7 7 6 4 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
13 14 14 14 12 8 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 3 5 7 8 7 5 3 2 3 2 1 0 0 0 1 1 1 0 0 0 0 0 0 1 1 2 2 5 5 4 2 1 0 0 0 0 0 1 3 4 3 6 15 6 2 2 3 4 6 4 1 1 1 1 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 2 4 6 7 7 8 8 7 7 6 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 0 0 0 0 0 0 0
14 15 16 17 17 16 14 13 10 6 4 1 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 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 2 3 6 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 1 1 0 0 0 0 0 0 0 2 5 8 8 5 3 1 1 1 3 5 7 5 3 1 1 4 3 4 4 4 3 1 0 0 0 0 0 0 0 0 1 3 2 2 3 5 6 7 8 6 6 7 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 0 0 0 0 0 0
11 13 14 16 18 19 18 16 15 12 9 7 4 3 3 3 3 2 2 1 1 0 0 0 1 2 4 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 2 2 2 1 0 0 0 0 0 0 1 3 7 9 9 5 3 2 3 6 9 10 8 6 5 4 5 7 9 8 6 3 1 0 0 0 0 0 0 0 0 1 5 16 8 2 0 1 2 5 7 8 9 9 8 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
8 10 12 14 16 16 15 13 13 13 12 11 11 11 9 8 6 5 4 2 1 1 1 2 5 8 12 13 10 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 5 5 4 3 2 1 1 1 1 2 3 3 5 11 15 16 13 8 7 8 10 10 10 8 7 7 9 12 12 9 5 2 0 0 0 0 0 0 0 0 0 1 3 7 15 8 2 1 1 1 3 5 7 9 10 8 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
11 12 13 13 13 13 11 10 9 8 8 10 11 11 11 10 9 7 5 3 2 2 3 6 9 13 16 15 12 9 5 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 6 7 8 6 5 5 4 4 4 5 9 14 18 16 10 9 10 11 12 13 12 11 10 10 11 12 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 3 5 7 9 9 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 0 0 0 0 2
14 16 15 14 14 14 13 12 9 7 8 8 9 9 9 9 10 8 6 4 3 3 4 7 11 15 16 14 10 7 6 5 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 6 9 11 10 9 7 6 5 5 7 12 14 16 18 14 12 12 13 14 15 14 13 10 7 5 2 0 0 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 6 6 6 6 4 2 1 1 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 1 5
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21 21 22 21 20 20 17 16 16 16 17 17 17 17 17 17 17 18 18 18 17 16 15 16 16 15 14 14 15 15 14 14 14 11 8 6 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 11 16 14 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 5 6 10 14 16 16 14 13 14 21 20 15 13 18 28 27 23 18 14 13 10 5 1 0 4 24 12 3 0 0 0 1 6 9 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 2 1 2 1 0 0 0 0 1 0 0 0 0 0 0 0 0 1 2 2 3 4 5 7 7 5 2 2 1 1 3 7 14 23 30
25 25 24 22 20 19 18 17 17 17 16 14 14 14 15 16 17 17 17 16 16 16 15 14 14 15 18 20 21 19 17 15 12 10 7 6 6 6 5 4 3 2 0 1 1 0 1 1 2 3 3 6 10 16 23 26 23 14 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5 8 12 15 16 17 18 20 25 31 33 31 28 30 35 33 27 21 16 11 5 1 0 1 5 42 29 9 0 0 0 2 5 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 2 2 2 2 1 0 0 1 2 1 1 1 0 0 0 0 0 1 1 2 2 4 6 9 9 8 6 4 4 6 10 15 23 29 31
23 24 24 23 22 21 20 18 17 16 14 12 12 12 12 14 16 18 17 15 15 15 15 15 18 21 23 24 23 21 18 16 14 12 10 9 10 11 11 10 9 8 6 7 7 8 9 12 16 18 21 26 33 40 38 29 17 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 14 20 20 18 19 25 31 35 43 49 51 51 47 39 28 18 8 2 0 1 4 10 6 19 15 5 0 0 0 3 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 4 3 4 4 3 3 2 2 2 2 2 1 1 0 0 0 0 0 1 3 3 4 5 7 8 9 8 8 6 10 16 20 23 29 30 26
19 19 20 20 20 20 19 18 17 16 14 12 11 9 9 10 13 15 16 16 15 16 19 20 21 22 21 20 18 16 15 15 14 13 13 14 15 16 17 18 18 18 18 21 26 29 33 38 39 41 44 48 49 47 33 18 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 18 18 18 20 26 31 33 46 64 73 71 62 49 37 26 12 3 1 5 17 36 21 7 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 2 3 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 0 0 0 0 0 1 1 4 6 7 7 7 7 7 7 6 5 10 19 28 34 35 33 28 22
15 13 12 12 12 14 16 20 24 24 21 17 13 11 10 12 15 17 19 20 20 21 22 20 18 17 17 14 13 12 12 13 14 16 18 20 23 27 29 32 34 35 35 37 40 44 49 53 49 48 49 49 46 41 26 12 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 13 19 22 24 27 33 33 36 54 81 99 101 95 83 69 54 34 16 8 12 20 32 22 9 0 1 0 0 0 0 0 0 1 2 2 2 2 2 1 0 0 1 2 3 3 4 4 4 4 3 4 4 3 2 2 2 1 1 1 1 1 1 1 2 2 2 1 2 5 7 8 9 9 8 6 6 6 10 14 21 31 40 45 44 38 28 17
6 4 3 3 4 6 11 17 21 24 24 22 18 17 19 24 37 28 22 19 20 18 17 15 13 11 11 12 14 15 17 19 21 24 27 31 36 46 48 51 52 49 46 44 44 44 42 41 36 33 33 33 32 29 19 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 13 23 28 31 35 53 45 47 67 95 103 95 107 121 111 88 70 48 33 29 25 28 24 27 36 14 5 1 0 0 1 1 2 3 3 2 2 2 2 1 2 3 3 3 3 4 4 4 3 4 4 3 2 2 2 2 2 2 3 3 2 3 4 4 5 6 5 5 6 8 9 9 9 8 7 8 14 22 31 38 44 46 48 45 38 26 11
1 0 0 0 0 2 4 7 10 14 18 20 20 20 23 28 33 27 21 18 15 12 11 10 10 11 15 19 23 26 29 30 32 36 39 41 44 47 51 52 49 45 43 41 39 34 27 20 16 13 13 13 13 12 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 9 13 17 23 31 55 50 48 56 65 81 70 74 96 112 98 82 60 41 35 38 42 42 47 62 40 26 16 12 8 6 6 6 6 4 2 1 1 1 1 2 3 4 4 3 4 4 4 4 4 4 3 3 4 4 5 5 5 6 6 5 6 7 8 9 9 9 9 8 8 9 11 12 14 16 23 32 40 44 47 51 49 49 46 40 26 12
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1 2 3 4 7 11 15 16 15 14 13 13 13 12 11 13 15 17 19 21 23 24 26 26 25 25 24 23 23 26 30 37 47 44 35 32 28 22 17 13 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 13 16 15 17 20 19 16 16 14 12 10 10 10 8 16 21 19 14 11 7 5 8 17 23 19 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 16 27 33 38 41 42 48 53 56 58 58 59 58 56 55 55 56 55 51 46 40 38 39 39 39 41 46 45 39 35 37 38 36 28 18 9 6 5 7 9 11 11 10 9
3 3 5 8 13 20 25 27 26 25 23 24 23 23 22 23 25 25 26 27 26 25 26 27 28 29 32 34 37 42 50 53 49 40 30 24 20 20 20 20 14 10 5 2 0 0 0 0 0 0 0 0 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 10 15 13 12 14 16 15 12 12 13 14 13 12 11 11 10 10 9 8 8 7 7 9 14 14 10 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 14 33 45 45 37 43 49 53 55 55 54 52 50 48 47 46 43 38 31 24 23 23 23 24 26 30 31 35 43 49 47 40 29 17 9 6 5 6 7 8 7 6 6
3 4 6 10 17 26 32 36 37 37 35 34 32 29 26 25 28 30 32 32 29 29 31 35 40 44 52 57 59 58 57 51 40 31 26 22 22 22 22 21 21 13 6 2 0 0 0 0 0 1 2 7 9 9 7 5 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 0 0 1 4 8 10 9 8 8 8 8 9 11 12 14 16 18 15 12 10 10 10 9 8 7 8 9 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 11 19 27 33 38 41 42 41 39 37 35 33 30 25 18 9 6 7 8 9 11 16 20 26 35 46 50 45 34 21 11 5 3 3 4 4 4 4 3 2
4 5 8 13 19 28 36 41 45 48 47 45 42 39 38 41 40 45 47 45 41 41 45 53 60 65 72 74 70 59 45 39 35 32 29 26 25 23 22 20 14 8 3 1 1 0 1 1 2 4 9 19 27 29 20 6 6 4 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 2 4 4 4 4 4 5 6 8 10 11 12 12 21 17 12 10 11 9 10 10 9 8 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 12 17 20 22 22 23 22 21 19 18 16 12 6 3 2 2 2 3 7 10 15 23 39 47 43 32 20 11 5 2 0 0 1 0 0 1 2 2
9 10 15 20 26 33 43 52 58 63 68 70 69 70 74 84 78 73 68 62 54 49 54 61 69 77 80 77 64 46 34 32 34 35 34 32 27 26 26 25 19 10 6 4 4 3 4 6 8 9 13 17 23 25 17 7 7 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 6 8 10 10 11 12 12 11 10 10 11 12 11 10 9 8 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 11 10 9 9 11 13 13 12 9 5 2 0 0 0 0 1 4 6 8 14 26 26 21 13 7 4 1 0 0 0 0 0 0 2 3 4
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21 21 20 23 30 41 45 45 49 56 62 47 59 70 74 74 74 70 61 51 54 55 57 57 54 48 40 31 26 25 26 27 32 33 26 25 27 30 32 31 32 32 29 24 21 20 22 22 20 16 14 15 15 14 16 19 21 20 15 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 3 4 6 10 12 11 8 7 6 6 11 13 14 13 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 8 10 7 8 7 7 8 9 7 4 3 1 2 6 18 34 50 37 20 8 1 0 0 0 0 1 1 1 0 0 0 1 1 2 4 8 12 15 17
14 11 12 19 30 37 37 38 40 44 49 60 66 63 56 49 47 39 40 50 56 50 40 32 29 31 26 22 20 21 25 32 35 36 32 27 25 25 26 23 26 28 27 24 21 21 22 21 18 15 14 14 13 12 13 19 24 27 24 17 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 4 5 8 10 9 9 9 8 9 14 18 19 15 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 0 1 2 2 2 5 4 4 8 16 18 33 54 64 36 16 8 8 1 0 0 0 0 0 0 0 0 1 2 2 2 2 5 10 17 23 25
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5 5 4 9 17 27 35 45 52 54 54 74 83 80 69 63 81 68 50 41 45 39 31 27 28 29 27 25 25 27 29 29 31 32 29 18 14 14 16 19 27 35 41 42 36 27 20 17 18 15 17 19 19 16 9 6 11 22 30 33 30 22 11 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 8 11 11 12 14 14 13 19 16 7 4 2 1 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 3 16 47 91 136 134 99 107 143 144 136 133 103 68 31 5 1 1 1 1 3 3 3 3 2 3 8 14 22 30 34 36
1 1 2 8 16 25 32 50 58 58 60 69 72 71 71 84 90 75 58 50 50 39 33 31 32 33 35 35 34 32 32 30 27 23 19 15 16 18 21 25 32 38 38 33 30 28 27 26 25 19 19 21 23 24 18 17 18 18 26 36 39 36 28 12 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 9 9 9 11 11 6 5 4 3 2 2 1 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 20 49 111 139 147 149 151 159 157 146 127 109 89 62 34 13 6 3 2 2 2 3 4 4 5 10 18 26 32 34 36 36
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6 9 13 19 31 52 64 64 59 52 46 43 56 70 74 57 32 12 3 6 13 14 11 7 5 4 5 5 4 5 7 13 22 33 49 59 60 49 28 22 18 17 18 19 22 24 23 22 25 24 20 15 14 26 30 32 32 34 40 37 32 29 36 39 29 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 4 3 3 3 1 1 4 6 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 0 0 0 0 1 4 16 37 67 98 120 124 108 84 61 54 54 53 48 42 40 37 34 33 35 39 43 47 50 51 51 47 43 44 48 48 45 43 41 41 41 41
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19 18 19 34 54 70 72 65 57 49 37 39 41 38 29 18 16 13 8 3 0 0 0 1 2 1 0 0 0 0 0 10 22 30 35 35 30 25 30 30 30 31 34 37 40 39 36 33 32 30 26 22 23 25 27 28 28 33 35 36 37 38 39 50 67 78 58 14 0 0 0 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 3 3 2 2 2 3 3 4 3 3 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 22 51 80 103 116 109 81 51 29 19 13 10 9 12 15 18 23 28 30 28 29 32 39 44 48 50 53 58 64 66 65 61 58 54 52 52 51 48
28 29 34 42 52 62 67 62 59 53 31 21 16 13 10 9 12 12 12 10 9 5 4 4 2 3 4 4 4 5 5 7 11 17 22 25 23 23 33 37 38 40 42 45 49 51 51 47 38 34 30 27 27 29 31 32 34 38 42 45 47 48 47 56 65 63 37 10 0 0 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 0 3 4 4 3 3 2 3 5 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 11 31 61 83 93 91 77 50 27 13 10 9 8 6 6 10 16 23 30 35 35 33 31 32 34 37 42 48 51 54 59 62 63 63 63 62 60 58 55 51
42 45 48 54 64 77 85 73 59 45 25 14 10 7 7 9 11 17 28 47 74 41 15 12 11 11 12 11 9 8 7 7 7 8 11 15 17 20 24 31 39 47 54 60 67 72 74 73 54 43 37 34 35 35 37 40 47 53 57 61 63 58 52 50 50 48 38 19 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 2 4 5 4 4 5 6 5 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 13 36 67 85 85 72 52 35 21 12 9 10 11 13 16 17 23 29 34 38 42 40 36 31 26 24 26 31 37 41 45 48 51 55 56 59 61 62 60 58 55
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