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 10 10 9 9 8 7 6 5 5 5 5 6 6 6 7 8 9 8 6 5 4 4 6 9 9 9 8 8 8 10 10 8 5 6 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 6 7 7 8 7 6 6 6 7 7 7 7 8 9 10 10 9 8 7 7 7 8 9 9 8 7 7 7 7 6 6 7 7 7 7 7 8 9 10 10 9 7 6 6 6 7 7 8 7 6 6 7 7 6 6 5 5 5 6 7 8 8 8 8 8 8 9 9 10 10 10 9 8 8 8 7 7 8 8 nan
nan 11 11 10 9 8 7 6 5 5 5 6 6 6 7 7 7 8 7 5 4 4 6 8 10 11 10 8 7 8 9 9 7 6 7 7 8 8 8 8 8 9 8 7 7 7 7 7 7 8 8 8 8 7 6 7 7 8 8 7 6 5 6 7 8 9 9 9 9 9 9 8 7 7 6 7 8 9 9 8 7 7 7 7 7 7 7 7 7 7 8 7 6 6 5 6 6 6 6 6 7 8 8 8 7 6 6 6 6 6 6 5 6 6 6 7 7 7 7 8 8 8 9 10 11 11 10 10 9 9 8 8 8 8 nan
nan 11 11 11 9 8 7 6 6 6 6 7 7 7 7 6 6 7 6 5 4 5 7 9 11 11 10 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 8 8 8 7 6 5 6 7 9 9 10 10 9 8 7 7 7 6 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 5 4 2 3 5 7 7 6 7 8 8 9 8 7 6 6 7 7 7 6 6 6 6 6 7 7 7 7 7 8 9 9 10 10 10 10 10 9 9 8 8 8 8 nan
nan 12 11 11 9 8 7 7 7 7 7 7 8 8 7 6 6 6 5 4 5 6 7 9 10 10 9 8 8 7 6 7 8 8 8 8 9 9 9 9 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 9 8 7 6 6 6 6 8 9 9 10 11 10 8 7 7 7 7 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 5 4 4 6 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 7 7 6 6 7 9 9 9 9 9 9 9 9 9 8 8 8 8 9 nan
nan 11 11 10 8 7 7 7 7 7 7 8 8 8 7 6 6 6 5 5 5 6 7 8 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 9 8 8 7 7 8 9 10 10 10 8 7 7 7 8 9 9 9 10 10 10 9 8 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 7 7 8 9 9 9 8 7 7 7 7 8 8 7 7 7 7 7 7 8 8 8 9 9 9 10 9 8 6 5 5 7 9 9 8 7 7 8 8 8 8 8 8 9 9 9 nan
nan 10 9 9 8 7 7 7 7 7 8 9 9 8 7 7 6 6 5 5 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 10 11 10 9 8 8 8 9 10 11 12 11 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 7 7 7 8 8 9 9 9 10 9 9 9 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 10 8 6 6 8 8 8 7 7 7 7 7 7 8 8 8 8 9 10 nan
nan 9 9 8 7 7 7 7 7 7 8 9 9 8 7 7 6 5 5 6 6 7 6 6 6 6 7 7 6 6 7 9 9 8 7 8 9 10 10 10 11 11 10 9 8 8 9 11 10 9 9 9 9 10 11 12 12 12 11 10 9 10 10 9 9 9 9 9 9 9 8 7 7 7 8 9 8 7 7 8 8 9 9 9 10 10 10 10 10 10 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 11 11 12 13 12 11 10 10 9 8 7 7 7 7 6 6 6 6 6 7 8 9 nan
nan 9 8 8 7 7 7 6 6 7 7 8 9 8 8 7 6 5 6 6 6 6 6 7 6 6 7 8 8 8 10 11 11 9 9 9 10 10 10 10 11 10 9 8 8 9 10 11 10 9 9 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 10 10 9 9 9 8 7 7 8 8 8 7 8 8 9 9 9 9 9 10 11 10 10 10 9 9 8 7 7 9 10 9 9 10 10 10 10 10 10 10 11 11 12 12 11 10 9 10 11 13 14 14 13 12 11 10 9 9 8 7 6 6 6 6 6 6 7 8 nan
nan 9 8 8 7 7 6 6 6 6 7 8 9 8 7 6 5 6 6 6 6 6 8 8 7 7 7 8 8 9 11 12 11 10 9 9 9 9 8 8 10 10 8 7 8 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 7 6 6 7 7 7 8 9 9 9 8 8 8 9 10 11 11 11 10 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 8 8 8 10 11 13 13 13 12 12 12 12 10 9 7 7 7 7 7 6 6 6 7 nan
nan 8 8 8 8 7 6 6 5 6 7 8 8 8 6 5 5 6 7 8 8 8 8 7 6 6 6 6 7 8 10 11 10 9 9 8 8 7 7 8 10 9 9 9 9 9 9 9 8 8 8 9 8 8 9 9 10 10 9 9 9 9 9 9 8 7 8 9 10 11 11 10 9 7 7 7 8 8 8 9 8 8 7 7 7 8 10 11 12 12 12 12 11 11 11 11 10 10 9 9 9 9 9 9 11 12 12 12 12 11 10 8 8 9 10 11 11 11 12 12 12 11 11 10 8 7 7 7 7 7 7 7 6 6 nan
nan 8 8 8 8 7 6 6 6 7 8 9 8 6 5 4 5 8 9 10 10 10 9 7 6 6 6 5 5 6 8 9 9 8 8 7 6 6 8 10 11 9 9 9 9 10 9 8 8 8 8 8 8 9 9 9 10 10 9 8 8 9 10 9 7 6 7 8 9 10 11 12 11 9 9 8 8 8 8 8 7 7 8 8 8 9 11 13 13 13 14 14 14 13 13 12 12 11 11 10 9 8 8 9 11 14 16 16 15 13 11 9 10 10 10 11 10 11 11 11 10 9 8 7 7 7 8 7 7 7 7 7 7 6 nan
nan 8 8 8 7 7 6 6 7 8 9 9 9 7 5 4 6 9 11 12 12 11 10 9 9 8 7 6 5 6 7 9 9 8 7 7 7 8 10 12 11 8 6 6 7 8 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 8 7 7 9 9 10 11 12 12 11 11 10 9 8 8 7 7 8 9 10 11 12 14 14 14 14 15 15 14 13 12 12 13 13 12 10 9 8 8 9 11 14 16 18 18 15 12 11 11 11 10 10 9 9 10 9 9 8 7 6 6 7 7 7 7 7 7 7 7 7 nan
nan 7 7 7 7 7 7 8 8 9 10 10 9 7 6 6 8 10 12 12 12 11 11 10 9 8 7 6 5 5 6 7 8 8 8 7 8 10 11 11 9 6 4 4 5 7 8 8 8 8 8 8 8 8 9 9 9 9 10 11 11 12 12 10 8 8 9 10 10 11 11 12 12 13 12 11 10 9 8 8 8 9 10 11 12 14 16 15 14 14 14 14 13 11 10 10 12 12 11 10 10 8 8 8 10 12 13 15 16 14 12 11 10 10 9 8 8 8 8 8 8 7 6 6 6 6 6 6 7 8 8 7 7 8 nan
nan 7 6 7 7 7 8 8 9 9 9 9 7 7 7 8 10 11 12 12 11 10 10 9 8 7 7 6 4 3 4 6 8 9 9 8 8 9 10 9 7 5 4 4 5 6 7 8 8 8 7 7 7 8 8 8 8 9 10 10 11 12 12 10 9 9 9 10 11 12 12 12 13 13 14 13 12 10 10 9 9 9 10 11 12 14 15 15 14 13 13 12 10 9 8 9 10 9 8 8 8 8 7 7 9 10 11 12 12 10 9 8 8 8 8 7 7 8 8 8 8 7 6 6 5 5 5 5 6 7 8 7 7 8 nan
nan 7 7 7 7 8 8 9 9 9 8 7 7 7 8 10 11 11 11 9 8 7 7 7 7 8 7 5 3 3 4 6 8 10 9 8 8 8 7 6 4 4 4 4 5 6 7 7 7 7 7 7 8 8 8 7 8 9 9 9 10 11 12 10 8 8 9 9 9 11 12 13 14 15 15 15 13 11 10 9 8 8 9 10 11 13 13 13 12 11 11 10 8 8 7 8 8 7 5 4 4 5 6 7 8 9 10 10 10 8 5 5 6 7 7 7 7 8 9 9 8 8 7 6 5 5 5 5 5 6 7 8 8 8 nan
nan 7 7 7 8 8 9 9 8 8 7 7 7 8 10 10 10 10 8 6 5 5 5 6 8 9 8 6 4 2 3 5 8 9 9 8 7 6 5 3 2 3 4 5 6 6 6 6 6 6 7 7 8 8 7 7 7 8 9 8 8 9 10 9 7 7 7 6 6 8 9 11 13 15 15 15 13 11 9 8 7 7 7 8 9 11 12 11 10 9 9 9 8 7 8 8 8 8 6 4 4 5 5 6 7 9 9 10 9 7 6 5 6 6 7 7 7 8 9 9 10 9 8 7 6 6 6 6 6 6 7 8 8 7 nan
nan 8 8 8 8 8 9 8 8 7 7 7 8 9 10 9 9 8 7 5 5 6 7 8 9 9 9 8 5 3 3 4 7 8 7 6 6 5 4 3 3 4 5 6 7 7 6 6 6 6 7 7 8 8 7 7 8 8 9 8 8 8 8 8 7 7 6 6 5 5 7 10 12 12 13 12 11 9 8 7 6 6 6 7 7 8 9 9 8 7 7 7 7 8 9 10 11 10 7 4 5 6 7 7 8 8 9 8 8 8 7 7 7 7 7 8 8 9 9 10 11 10 9 8 7 7 7 7 7 7 7 8 7 7 nan
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nan 9 9 8 7 8 7 7 7 8 8 8 8 8 8 6 6 6 8 9 9 9 8 8 8 10 11 9 7 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 9 10 10 11 11 11 11 11 11 12 13 13 12 12 12 12 11 10 8 8 7 7 6 7 7 7 8 9 8 8 8 8 9 9 10 11 11 10 9 8 9 10 12 13 13 12 10 8 7 6 7 7 7 7 7 8 9 10 12 14 15 14 12 11 10 9 9 9 9 8 7 6 6 5 nan
nan 10 9 8 7 7 7 7 7 8 9 9 8 8 7 6 6 7 8 9 9 8 7 7 8 9 9 8 6 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 6 5 6 7 8 9 10 10 10 10 10 11 11 11 11 12 13 13 12 12 12 12 11 10 9 9 8 8 8 9 9 10 10 10 9 8 8 9 9 10 10 9 9 9 10 11 12 13 13 14 13 10 8 6 6 6 7 7 7 7 8 9 11 12 14 15 14 12 10 9 8 8 9 9 9 8 7 6 5 nan
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nan 10 9 9 8 8 7 7 6 6 7 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 6 6 6 8 10 13 13 13 12 10 9 8 7 7 7 8 8 8 8 8 8 8 8 7 7 6 7 7 7 6 7 8 9 9 9 10 10 9 9 9 9 9 10 10 9 9 10 11 12 12 12 12 11 10 9 9 9 9 10 10 9 7 7 7 7 7 8 8 8 8 8 9 10 11 12 14 13 11 9 7 6 6 6 6 5 6 7 9 10 11 12 13 13 11 9 8 8 9 10 10 10 10 9 9 8 nan
nan 9 9 9 9 9 8 7 6 5 6 8 9 8 8 7 7 7 7 7 7 6 6 6 6 6 7 8 8 7 7 8 12 15 16 15 14 13 12 10 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 9 10 10 10 10 9 10 10 11 12 12 13 12 11 10 9 8 9 10 10 10 8 7 6 6 6 7 7 8 8 8 8 9 10 11 13 13 12 10 9 7 6 6 6 5 5 6 8 9 10 11 12 12 11 10 10 11 11 11 10 9 9 9 10 9 nan
nan 9 9 9 9 10 9 7 6 6 7 8 9 9 7 7 7 7 7 7 7 6 5 6 6 6 8 9 9 9 10 12 15 16 16 14 13 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 11 10 10 9 9 10 11 11 10 8 7 6 5 5 6 7 7 7 8 8 9 10 11 12 13 12 10 9 7 7 6 5 5 6 7 8 9 10 11 12 12 12 12 13 12 11 10 9 8 8 9 10 nan
nan 8 9 9 10 10 9 8 7 6 7 9 9 9 7 6 6 7 7 7 6 5 5 5 7 8 9 10 11 11 11 13 13 13 12 12 11 11 10 10 10 10 9 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 8 9 8 8 8 9 10 10 11 11 11 12 12 13 13 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 9 8 7 6 6 6 7 7 7 7 7 8 9 10 11 12 12 12 11 10 8 7 6 6 6 6 7 8 9 10 11 12 14 14 14 13 11 9 7 7 8 9 10 nan
nan 9 9 10 11 10 9 8 7 7 8 9 9 8 7 6 6 6 6 5 4 5 6 7 9 10 11 10 10 9 8 8 7 7 7 8 8 8 7 7 7 7 7 6 5 5 5 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 9 10 11 11 11 11 11 12 12 13 13 13 12 11 11 11 12 12 11 11 11 11 11 10 10 9 10 11 11 10 9 8 7 7 6 7 7 8 8 7 7 8 9 10 11 12 12 12 11 9 8 7 7 6 6 7 7 7 8 10 12 14 16 16 14 11 8 7 8 9 10 9 nan
nan 9 10 11 12 11 10 9 8 8 9 10 10 8 7 7 6 6 6 5 5 6 8 10 11 10 10 8 7 6 4 4 3 4 5 5 5 5 4 3 3 3 3 4 4 4 4 5 6 7 7 8 8 8 8 8 7 7 7 7 7 8 9 11 11 11 10 11 11 11 11 12 12 12 11 11 11 11 11 12 12 11 11 11 10 9 9 9 9 9 10 10 9 8 8 7 7 7 8 9 9 9 8 8 9 10 10 10 11 12 11 10 9 8 7 6 6 6 6 6 6 8 11 13 15 15 14 13 11 9 10 10 9 9 nan
nan 7 8 10 12 12 11 10 9 10 10 11 10 9 7 7 7 8 7 7 7 8 9 10 10 9 8 7 6 5 5 5 5 5 5 4 3 3 2 2 2 2 3 4 5 5 6 6 6 6 7 7 8 8 8 7 7 7 7 7 7 8 10 11 11 10 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 9 9 9 9 8 8 8 9 9 9 9 8 7 7 7 8 9 10 10 9 9 9 9 9 8 9 10 10 10 9 8 7 6 6 6 6 6 6 7 9 10 12 13 14 14 13 12 11 9 7 7 nan
nan 6 7 9 12 13 13 12 11 10 10 11 10 9 8 8 9 10 10 10 9 9 8 9 9 8 7 7 7 7 8 9 8 7 6 5 4 3 3 3 4 4 4 5 5 6 6 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 9 10 10 10 10 10 10 10 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 8 7 7 7 7 8 9 9 10 10 10 9 8 8 8 8 9 10 10 9 7 6 6 7 7 6 6 6 7 7 8 9 11 13 13 12 10 8 6 6 nan
nan 8 9 10 12 14 16 15 13 11 10 11 10 9 9 9 9 9 9 9 9 9 9 9 9 8 6 6 7 8 9 9 9 8 7 5 5 5 6 6 6 5 5 5 6 7 8 9 9 9 9 9 8 7 7 7 8 8 8 8 8 7 8 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 9 9 8 8 8 8 9 9 8 8 7 7 7 7 8 9 9 9 9 8 8 7 8 9 10 11 10 8 7 7 8 8 8 8 7 6 5 5 6 8 9 10 10 10 10 8 7 nan
nan 8 9 11 12 15 18 17 14 11 10 10 9 9 9 8 8 7 7 7 8 9 10 11 10 8 6 6 6 7 7 8 8 8 7 6 6 7 9 9 9 8 7 7 8 9 11 12 11 10 9 8 8 8 8 8 9 9 10 9 8 7 6 7 8 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 9 9 9 9 9 9 9 8 7 6 6 7 8 8 9 9 9 8 7 8 9 10 11 10 9 8 7 8 9 9 10 10 9 7 6 5 6 8 9 10 11 12 11 10 nan
nan 8 9 10 12 15 17 18 15 12 10 9 9 9 8 8 7 6 6 7 9 10 11 11 10 8 6 5 5 6 7 7 8 8 7 7 8 9 10 10 10 9 9 10 11 12 13 12 11 9 8 8 8 8 9 9 10 11 12 11 9 7 5 5 6 7 8 7 7 6 6 6 6 6 6 7 7 7 7 7 8 8 8 7 7 8 8 9 9 10 10 9 9 8 9 9 10 10 9 8 7 7 8 8 9 10 10 9 8 8 9 9 9 9 9 7 6 7 8 9 10 11 11 10 8 7 7 8 8 9 10 11 12 12 nan
nan 9 10 11 12 14 16 17 15 13 10 8 8 8 8 8 8 8 9 10 11 11 11 10 8 7 6 5 6 6 7 8 9 9 8 8 8 8 9 8 9 9 11 12 12 11 10 8 8 7 8 8 9 9 10 10 11 12 13 12 11 8 6 5 5 6 7 7 7 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 10 11 11 10 9 9 9 9 10 11 12 11 11 10 10 9 9 8 8 6 6 6 7 8 9 10 10 10 9 7 7 7 7 7 8 9 10 10 nan
nan 8 10 11 12 12 14 15 15 13 10 8 7 8 9 9 9 10 11 12 12 11 10 8 7 7 6 6 7 8 9 10 10 10 8 7 7 8 8 8 9 10 11 11 10 7 5 5 6 7 8 9 9 10 10 10 11 11 12 13 13 11 9 7 6 6 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 8 8 9 10 11 11 11 10 10 10 11 12 12 12 12 11 10 9 9 9 8 7 6 7 7 8 9 9 9 8 8 7 8 8 8 7 7 7 8 8 nan
nan 8 9 10 11 12 12 13 13 13 11 9 9 10 11 11 10 10 10 11 11 10 9 7 7 7 8 9 10 11 13 13 13 10 7 6 7 8 9 10 10 11 11 9 7 6 5 5 6 8 8 8 9 9 9 9 9 9 9 11 12 12 11 8 7 6 7 8 9 9 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 8 8 8 9 10 10 9 9 9 10 11 11 11 10 9 9 9 9 nan
nan 9 10 11 11 12 12 13 13 13 13 12 12 12 13 12 11 10 10 10 9 8 8 7 8 9 10 11 13 14 15 15 13 9 8 7 9 10 11 11 11 11 9 8 7 6 7 7 8 8 8 9 9 8 8 8 8 7 7 7 7 8 9 8 6 5 5 7 8 8 9 9 9 9 9 10 10 9 9 9 8 8 9 9 9 9 8 9 9 9 8 8 7 7 7 7 7 7 8 8 8 9 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 10 11 11 11 10 11 12 12 12 12 12 11 12 12 11 nan
nan 9 11 11 12 13 13 14 15 15 14 14 14 14 13 12 11 10 9 9 8 8 8 8 9 10 11 12 14 15 15 14 11 10 10 10 12 13 14 14 12 11 9 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 6 4 4 5 6 6 6 5 4 5 6 7 7 8 8 9 9 9 9 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 11 12 11 11 11 11 11 11 11 11 11 12 12 11 nan
nan 10 11 12 12 13 13 14 15 16 16 15 15 14 13 11 10 9 9 8 8 8 9 10 11 11 12 13 13 13 13 12 12 12 13 15 16 16 15 14 13 12 10 9 8 8 8 8 9 9 9 9 9 8 7 7 7 7 6 6 5 5 6 6 6 5 4 4 4 5 6 7 7 8 8 9 9 9 10 10 9 9 9 8 8 8 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 9 10 11 11 11 11 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 nan
nan 10 11 12 12 13 13 14 15 16 16 16 15 13 12 10 10 9 9 10 10 10 11 12 12 12 11 11 12 12 12 12 13 14 15 17 16 15 13 11 10 9 9 8 9 9 9 9 9 9 9 9 10 10 9 8 7 7 7 7 8 8 7 7 7 6 6 5 5 5 6 6 7 7 8 8 8 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 8 8 8 9 10 11 11 11 10 10 10 10 10 11 11 10 9 9 8 9 9 9 9 9 9 10 10 10 10 9 nan
nan 9 10 11 12 13 14 15 16 17 17 15 14 12 11 10 10 11 11 12 12 12 12 12 12 11 10 11 11 12 12 13 13 13 14 14 13 11 9 8 7 7 7 8 9 11 11 11 11 11 11 11 12 12 11 10 8 7 7 8 8 8 8 8 7 7 7 7 7 7 6 6 6 7 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 10 9 9 8 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 9 9 10 9 9 9 9 9 9 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 nan
nan 7 9 11 12 13 15 16 17 18 17 15 12 11 10 10 11 12 12 13 13 13 13 12 12 11 11 11 11 12 12 12 13 13 13 11 10 9 8 8 7 8 8 9 11 12 13 13 13 13 12 13 12 12 11 10 9 8 8 8 8 8 8 8 7 7 7 8 8 8 7 6 7 7 8 8 8 8 8 8 9 9 8 8 8 9 10 10 11 11 10 10 8 7 6 6 7 8 8 8 9 9 9 9 9 9 8 7 6 6 7 8 8 8 8 8 8 8 8 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 8 10 12 14 16 18 18 18 17 14 12 10 10 10 11 12 12 13 13 13 12 12 12 11 11 11 11 11 11 12 12 12 12 10 9 8 8 8 8 9 10 11 11 12 12 12 12 12 11 11 10 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 9 8 7 7 7 7 7 7 8 8 8 9 9 8 8 7 6 6 5 6 7 7 8 8 7 7 7 7 8 9 10 9 8 8 8 8 8 8 9 9 8 8 8 nan
nan 8 8 9 12 15 18 20 20 19 17 14 12 10 10 10 10 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 12 11 10 10 9 8 7 7 8 9 10 11 11 11 10 10 9 9 9 8 6 5 4 5 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 6 7 8 9 10 10 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 7 6 6 6 7 7 8 8 8 7 7 7 7 8 9 9 9 8 8 8 9 9 9 9 9 9 9 nan
nan 9 9 10 13 16 19 22 22 20 17 14 11 10 9 9 9 9 10 11 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 9 8 7 6 7 9 10 10 10 9 7 6 6 6 6 5 4 3 3 5 6 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 6 6 8 9 9 9 8 8 7 8 8 8 8 7 6 6 6 6 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 8 8 9 9 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 nan
nan 11 11 11 13 16 20 23 24 20 16 13 11 10 9 9 9 9 10 11 12 12 12 12 12 12 11 11 12 12 11 11 11 11 10 10 9 9 8 8 9 10 10 9 8 6 4 3 3 3 4 4 3 4 5 6 7 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 9 9 8 7 7 8 8 9 8 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 nan
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nan 11 11 11 11 14 18 20 19 17 15 13 11 10 10 9 9 10 11 12 12 12 12 12 11 11 11 10 10 10 10 9 9 10 9 9 9 9 8 7 5 3 2 3 5 6 7 7 7 6 6 7 8 9 10 10 9 8 7 7 7 7 7 8 8 8 8 7 7 7 7 6 6 6 7 8 9 10 10 11 12 12 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 9 9 9 10 10 9 8 7 7 7 7 7 8 10 11 11 11 11 10 10 9 9 9 nan
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nan 10 10 11 11 11 11 11 11 10 10 10 10 10 11 13 13 13 12 11 10 9 9 9 9 9 10 10 10 10 10 10 11 12 12 12 12 13 14 14 14 14 14 15 15 13 10 9 7 4 2 1 1 2 4 5 6 7 8 9 10 11 12 14 15 15 14 13 11 10 10 9 9 8 8 8 9 9 8 8 8 8 8 7 7 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 7 8 8 9 9 9 9 10 10 10 10 9 9 8 7 7 8 8 9 8 8 8 10 10 10 9 9 9 9 nan
nan 10 10 10 11 11 12 12 11 11 11 10 10 10 11 12 13 12 12 11 10 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 13 14 14 15 14 13 12 11 10 7 5 3 2 1 1 1 2 4 7 9 11 13 13 13 14 15 16 17 16 15 14 12 11 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 9 9 8 8 8 8 7 8 9 9 9 10 10 10 10 10 9 8 8 7 8 9 9 8 8 8 9 10 10 9 9 8 9 nan
nan 10 10 10 10 11 12 12 12 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 12 11 9 8 6 5 3 2 1 2 4 5 7 10 12 15 17 18 17 17 16 16 16 15 14 13 12 11 10 9 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 9 9 9 8 8 8 8 8 8 9 10 10 11 11 11 10 9 9 8 8 8 8 8 8 9 9 10 10 10 10 9 10 10 9 9 8 9 10 10 9 8 8 9 10 11 10 9 9 9 nan
nan 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 11 11 11 11 11 10 10 11 11 11 11 11 10 9 8 7 6 5 5 4 4 5 7 9 11 13 14 15 16 18 18 17 16 15 14 12 11 10 10 10 10 10 9 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 7 7 8 8 9 10 11 11 12 12 12 11 10 9 9 9 9 9 8 9 9 9 10 10 10 9 9 10 11 11 10 10 10 11 11 10 9 9 9 10 10 11 10 10 9 nan
nan 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 11 11 11 12 12 12 11 11 10 10 9 9 8 8 7 7 6 6 7 7 8 9 9 10 12 13 14 14 13 13 13 13 11 11 10 9 8 7 7 7 8 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 8 9 9 10 11 11 12 12 13 13 12 11 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 11 10 10 9 9 10 10 10 11 10 10 9 nan
nan 11 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 11 12 12 12 12 12 11 11 12 12 12 12 11 11 9 8 7 7 7 6 6 6 7 7 8 9 9 10 10 10 10 10 10 9 8 7 7 7 7 7 7 7 7 7 8 9 11 12 12 11 11 10 10 9 9 8 8 8 9 9 9 8 8 7 7 7 7 7 8 9 9 10 10 10 11 11 11 12 13 13 13 11 11 10 10 9 9 8 9 9 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 nan
nan 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 10 10 10 10 10 10 9 8 7 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 5 4 3 3 4 5 6 8 9 8 8 9 10 10 11 12 12 11 10 10 10 10 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 9 9 10 10 10 10 10 10 10 11 12 12 10 10 10 10 9 8 8 9 10 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 nan
nan 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 5 5 5 4 4 3 3 3 3 5 6 8 9 10 10 10 9 9 9 9 8 8 7 7 8 9 9 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 9 10 11 11 10 10 11 10 9 8 8 9 11 11 11 11 11 10 9 8 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 nan
nan 11 11 11 11 12 12 12 11 10 10 10 10 10 9 9 9 8 8 8 8 8 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 6 6 6 6 5 5 5 6 7 8 10 10 10 10 10 10 9 9 8 7 6 5 4 5 6 7 8 9 9 9 9 9 8 8 8 8 7 7 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 10 8 8 8 10 11 11 11 10 10 9 8 7 8 8 9 9 10 10 9 9 9 8 8 8 9 9 9 9 nan
nan 11 11 11 12 12 12 11 11 11 10 10 10 9 9 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 10 12 12 12 11 11 10 10 9 9 8 8 7 7 7 7 8 9 9 9 9 8 8 8 8 8 7 7 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 10 11 11 11 9 8 7 8 8 9 10 10 9 9 9 8 8 8 9 9 10 10 10 9 8 8 8 8 9 9 9 10 nan
nan 11 11 11 11 11 11 11 11 10 10 10 9 9 8 7 7 6 6 5 5 5 5 5 5 5 6 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 10 10 10 11 12 13 13 13 13 12 11 11 10 9 8 8 8 8 9 10 10 10 10 10 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 9 9 8 8 8 8 8 8 9 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 8 9 9 10 10 10 9 8 8 8 8 8 9 9 10 nan
nan 10 11 11 11 11 11 11 10 10 9 9 8 8 7 6 6 5 5 4 4 5 5 5 6 7 7 8 9 9 9 10 9 9 9 9 9 9 9 8 8 7 8 9 10 11 12 13 13 13 13 13 13 12 12 12 11 10 9 7 6 6 7 8 9 10 10 10 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 7 8 8 9 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 9 10 11 nan
nan 10 10 10 10 10 10 10 9 9 9 8 7 7 6 6 5 5 5 5 6 6 7 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 12 13 14 14 13 13 12 11 10 9 9 9 9 8 7 6 5 5 6 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 8 9 10 11 nan
nan 9 9 9 9 9 9 8 8 8 7 7 7 6 6 6 6 6 6 7 8 9 10 11 12 12 12 12 11 11 11 11 10 10 10 10 11 11 12 12 13 13 14 14 14 13 12 11 10 9 8 7 6 6 6 5 5 5 5 5 6 7 7 8 8 8 7 7 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 6 7 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 10 10 10 9 9 9 10 11 nan
nan 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 10 11 13 14 14 14 13 13 13 12 12 12 12 11 11 11 11 12 13 13 13 13 12 12 11 11 11 11 10 8 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 7 6 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 10 10 9 9 10 10 11 nan
nan 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 11 11 12 13 14 14 14 13 13 12 12 12 12 11 11 10 10 10 11 11 12 11 9 8 8 8 9 9 10 11 10 8 7 6 7 7 8 9 10 10 10 9 9 9 8 8 8 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 13 13 14 13 12 11 10 10 10 10 10 10 9 9 8 9 9 10 10 9 7 6 5 6 7 8 9 9 8 6 6 6 7 7 8 9 10 10 10 10 9 9 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 7 7 7 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 8 9 10 nan
nan 12 12 12 12 12 12 12 12 12 11 11 11 12 12 13 13 14 14 14 13 13 12 11 10 9 9 9 9 9 8 8 7 7 8 9 9 8 7 6 6 6 7 8 8 8 7 6 5 5 6 7 8 8 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 9 9 9 8 8 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 6 5 5 5 6 6 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 nan
nan 13 13 13 13 13 13 13 13 12 12 12 12 12 12 13 13 13 13 12 12 11 10 10 9 9 9 9 8 8 8 7 7 7 8 8 7 7 6 7 8 9 10 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 8 8 7 7 6 6 6 7 7 7 7 7 7 7 7 6 6 5 5 5 5 6 6 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 nan
nan 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 10 10 9 9 9 9 9 9 9 8 7 7 7 7 8 8 9 10 9 8 7 7 8 9 10 10 8 7 7 7 8 9 10 10 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 6 5 5 5 6 6 6 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 nan
nan 12 12 12 12 12 13 13 13 13 13 13 12 12 11 11 10 9 8 8 8 8 9 8 8 7 6 5 6 7 8 9 10 10 10 9 7 7 7 8 8 8 7 6 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 12 nan
nan 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 11 10 10 10 9 9 8 7 6 5 5 5 7 9 10 11 10 9 7 6 5 6 6 7 7 7 7 6 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 9 9 9 9 9 10 11 11 12 12 12 nan
nan 12 12 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 7 7 7 7 8 9 11 11 10 8 6 5 5 6 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 6 6 6 6 5 5 6 6 6 6 6 7 7 7 7 7 6 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 11 12 12 11 nan
nan 11 11 11 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 9 9 10 10 11 11 10 8 6 6 7 8 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 10 10 9 9 9 9 8 8 8 8 8 7 7 7 6 6 6 6 5 5 5 6 6 6 6 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 11 10 nan
nan 10 10 10 10 9 8 6 6 5 6 6 7 7 7 7 6 6 5 5 5 6 8 10 11 11 11 11 11 10 8 7 6 7 8 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 7 9 9 9 9 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 11 11 11 11 10 10 nan
nan 9 9 9 9 9 8 7 6 6 6 6 7 7 7 7 7 7 7 8 9 11 12 12 12 11 10 10 9 8 7 7 7 8 9 9 9 9 9 8 8 8 8 7 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 8 7 6 6 5 5 6 6 6 7 7 7 7 7 7 7 7 7 6 7 7 9 10 11 11 10 9 9 9 9 8 8 7 7 7 8 8 8 8 8 9 9 10 10 11 10 10 10 10 10 10 10 10 11 12 12 12 12 11 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
CAPE
1353 1373 1376 1359 1337 1328 1350 1408 1503 1584 1619 1632 1658 1697 1733 1780 1793 1767 1724 1684 1658 1655 1673 1703 1727 1724 1758 1735 1694 1666 1653 1667 1749 1851 1879 1949 1991 1995 1999 2029 2093 2143 2141 2145 2215 2316 2401 2454 2448 2406 2349 2288 2222 2154 2102 2064 2007 1916 1914 1922 1892 1857 1841 1835 1838 1884 1910 1943 1997 2055 2141 2226 2246 2249 2194 2158 2125 2075 2018 1893 1707 1663 1640 1722 1691 1653 1658 1702 1763 1823 1896 1937 1901 1830 1748 1642 1525 1453 1459 1505 1533 1542 1534 1517 1552 1671 1778 2013 2206 2090 2038 2289 2660 2855 2934 2996 3045 3244 3401 3430 3412 3399 3300 3043 2691 2361 2094 1891 1750 1659 1598 1588 1516 1501 1505
1343 1349 1345 1326 1306 1312 1363 1431 1503 1569 1611 1638 1699 1786 1823 1793 1784 1786 1758 1726 1707 1709 1726 1745 1746 1748 1754 1729 1694 1684 1722 1814 1923 2040 2091 2118 2124 2110 2096 2109 2136 2162 2151 2149 2211 2310 2400 2457 2457 2419 2360 2297 2239 2192 2158 2130 2087 2022 2079 2170 2202 2185 2139 2079 2026 1985 2026 2119 2181 2200 2241 2297 2287 2258 2205 2159 2128 2027 1898 1769 1654 1713 1715 1752 1729 1651 1581 1579 1663 1802 1970 2054 2048 1959 1813 1648 1510 1437 1474 1522 1501 1506 1538 1582 1647 1760 1944 1926 1972 2050 2069 2196 2477 2714 2860 2922 2990 3140 3229 3253 3287 3333 3272 3024 2694 2372 2111 1922 1784 1693 1728 1798 1598 1532 1522
1359 1342 1318 1296 1293 1326 1394 1455 1523 1636 1703 1751 1832 1930 1970 1940 1884 1825 1805 1780 1760 1752 1742 1732 1746 1764 1769 1754 1743 1774 1862 1972 2082 2209 2259 2259 2232 2202 2180 2173 2183 2191 2152 2156 2210 2299 2393 2459 2476 2454 2419 2376 2333 2301 2289 2293 2303 2303 2398 2512 2557 2521 2446 2363 2262 2174 2203 2251 2289 2288 2276 2272 2245 2228 2205 2157 2132 2014 1883 1829 1789 1838 1853 1841 1797 1708 1623 1604 1681 1839 2027 2133 2136 2034 1864 1687 1559 1490 1497 1510 1504 1533 1582 1631 1721 1946 2129 2002 2021 2066 2056 2075 2243 2527 2759 2856 2910 2910 2874 2864 2927 3040 3027 2800 2518 2263 2063 1909 1778 1670 1685 1687 1564 1507 1485
1371 1344 1315 1296 1314 1368 1431 1495 1579 1701 1810 1911 2007 2082 2110 2072 1968 1857 1851 1832 1806 1788 1769 1761 1767 1795 1821 1828 1848 1918 2033 2141 2293 2400 2433 2417 2374 2329 2293 2266 2252 2238 2221 2211 2244 2316 2403 2482 2534 2551 2551 2534 2503 2482 2487 2517 2556 2581 2652 2738 2766 2733 2670 2592 2478 2372 2342 2278 2276 2302 2298 2248 2182 2153 2198 2158 2071 1972 1924 1923 1876 1879 1898 1876 1831 1773 1726 1717 1760 1874 2051 2188 2207 2122 1993 1865 1738 1616 1585 1596 1621 1654 1691 1741 1842 2026 2158 2170 2202 2224 2205 2192 2283 2485 2711 2840 2861 2774 2663 2624 2672 2707 2676 2524 2346 2172 2016 1878 1756 1689 1976 1713 1515 1448 1431
1377 1354 1344 1339 1363 1416 1475 1548 1642 1764 1905 2040 2149 2216 2231 2184 2055 1909 1888 1862 1831 1807 1787 1777 1796 1846 1894 1928 1982 2064 2193 2398 2529 2612 2639 2622 2578 2518 2457 2414 2376 2372 2341 2328 2353 2411 2481 2556 2634 2693 2727 2727 2702 2689 2713 2752 2763 2754 2787 2826 2851 2833 2773 2702 2575 2456 2391 2323 2319 2348 2342 2258 2122 2075 2142 2117 2007 1908 1874 1881 1912 1962 1979 1956 1900 1858 1835 1805 1796 1920 2153 2296 2294 2215 2138 2073 1968 1837 1781 1771 1762 1775 1821 1884 1980 2047 2163 2249 2327 2402 2447 2451 2491 2546 2678 2786 2794 2690 2552 2475 2425 2419 2414 2347 2232 2096 1948 1794 1664 1644 1776 1548 1384 1341 1345
1405 1393 1388 1401 1429 1473 1535 1621 1730 1866 2008 2136 2233 2286 2291 2246 2059 1952 1921 1894 1866 1845 1834 1841 1890 1949 1998 2049 2118 2219 2376 2600 2756 2823 2842 2822 2783 2728 2667 2616 2566 2587 2559 2571 2623 2679 2712 2737 2787 2853 2889 2894 2881 2877 2893 2903 2886 2866 2870 2876 2903 2891 2817 2733 2577 2453 2382 2354 2361 2372 2342 2239 2082 2055 2073 2050 1977 1903 1878 1934 2081 2127 2174 2164 2102 2028 1964 1912 1922 2112 2334 2411 2373 2303 2247 2198 2132 2046 2000 1992 1981 1959 1947 1981 2037 2088 2144 2241 2399 2575 2688 2698 2695 2684 2724 2761 2719 2594 2468 2437 2397 2395 2347 2248 2115 1957 1787 1626 1493 1437 1341 1223 1152 1135 1136
1455 1461 1458 1471 1502 1552 1624 1723 1847 1990 2124 2230 2300 2328 2305 2221 2072 1990 1963 1951 1946 1951 1968 1997 2050 2123 2210 2326 2451 2576 2713 2870 2975 3001 3012 2994 2952 2907 2869 2828 2783 2804 2815 2846 2912 2982 3012 2996 2976 3010 3019 3008 2993 2983 2971 2944 2906 2895 2903 2905 2925 2910 2808 2668 2510 2389 2319 2291 2283 2262 2208 2133 2071 2077 2059 2029 1998 1969 1949 1970 2136 2253 2318 2323 2274 2208 2170 2180 2216 2343 2454 2475 2437 2379 2324 2294 2300 2215 2197 2204 2190 2152 2118 2107 2111 2137 2190 2318 2519 2718 2829 2842 2790 2749 2728 2694 2614 2501 2411 2400 2412 2373 2273 2164 2022 1826 1616 1422 1259 1114 967 862 808 769 725
1541 1545 1542 1556 1594 1655 1740 1851 1982 2115 2226 2306 2351 2352 2301 2207 2097 2041 2032 2048 2078 2119 2170 2233 2305 2398 2550 2677 2775 2887 3024 3121 3129 3085 3069 3044 3022 3010 3006 3003 2981 3000 3034 3071 3129 3191 3220 3207 3145 3093 3047 3006 2972 2942 2908 2868 2840 2851 2859 2852 2835 2776 2652 2508 2386 2305 2254 2216 2179 2131 2073 2043 2073 2121 2135 2123 2116 2128 2149 2181 2284 2372 2435 2483 2515 2518 2487 2464 2428 2448 2471 2470 2446 2410 2369 2351 2397 2380 2370 2377 2367 2322 2281 2264 2236 2234 2286 2413 2572 2696 2742 2716 2648 2601 2568 2516 2444 2383 2334 2330 2325 2274 2215 2127 1955 1684 1399 1144 950 768 609 500 439 400 383
1664 1656 1652 1670 1715 1783 1873 1987 2111 2223 2304 2356 2375 2354 2293 2207 2132 2110 2136 2193 2266 2346 2430 2523 2620 2710 2903 3027 3089 3144 3193 3180 3168 3119 3123 3116 3116 3134 3158 3169 3156 3180 3205 3250 3278 3288 3300 3266 3164 3058 2971 2918 2892 2879 2868 2851 2825 2819 2803 2758 2685 2590 2483 2396 2336 2315 2294 2264 2219 2160 2101 2079 2103 2140 2177 2191 2208 2250 2300 2353 2404 2426 2431 2430 2426 2419 2421 2406 2401 2403 2401 2405 2415 2415 2399 2405 2474 2468 2411 2354 2325 2348 2467 2651 2439 2338 2345 2386 2418 2432 2426 2418 2406 2373 2347 2319 2281 2263 2272 2325 2360 2326 2210 2004 1711 1355 1028 840 681 522 390 303 253 231 229
1808 1793 1795 1817 1862 1926 2012 2119 2226 2308 2360 2386 2382 2348 2292 2232 2195 2222 2294 2402 2526 2644 2746 2832 2875 3036 3213 3304 3319 3307 3287 3241 3232 3209 3219 3213 3230 3282 3319 3289 3262 3297 3287 3335 3313 3238 3222 3205 3127 3006 2916 2880 2874 2881 2900 2906 2857 2817 2780 2716 2626 2532 2459 2433 2422 2425 2415 2391 2348 2286 2215 2162 2129 2093 2079 2099 2148 2209 2275 2316 2302 2218 2129 2046 1950 1920 2137 2300 2427 2497 2511 2494 2463 2423 2376 2392 2419 2393 2329 2275 2320 2591 3182 3241 2733 2417 2259 2171 2124 2105 2138 2203 2213 2166 2125 2111 2115 2142 2192 2277 2305 2223 2019 1721 1377 1017 716 611 495 374 281 219 180 160 152
1957 1946 1957 1981 2019 2075 2151 2243 2324 2377 2402 2406 2390 2355 2313 2283 2289 2373 2516 2667 2789 2914 3043 3124 3178 3279 3365 3380 3360 3338 3319 3290 3233 3237 3274 3288 3286 3275 3251 3224 3252 3278 3277 3269 3214 3131 3097 3129 3066 2943 2844 2772 2716 2689 2711 2757 2789 2777 2761 2740 2709 2661 2597 2564 2526 2494 2462 2424 2374 2307 2232 2166 2103 2025 1957 1946 1991 2046 2081 2043 1904 1749 1648 1576 1512 1524 1775 2096 2398 2601 2707 2703 2590 2444 2361 2352 2333 2311 2285 2259 2256 2303 2370 2639 2564 2400 2247 2106 1986 1948 1984 1992 1942 1883 1863 1887 1931 1968 1977 2040 2020 1892 1687 1452 1202 888 553 435 350 268 208 164 131 106 94
2111 2096 2121 2146 2180 2228 2293 2364 2421 2450 2451 2439 2419 2395 2378 2390 2452 2574 2783 2951 3072 3173 3260 3316 3350 3375 3374 3328 3276 3269 3298 3283 3209 3203 3233 3244 3217 3176 3147 3114 3136 3158 3174 3162 3057 2921 2878 2869 2729 2560 2403 2249 2106 2003 1963 1986 2072 2184 2328 2485 2613 2672 2645 2552 2403 2295 2236 2206 2181 2149 2118 2084 2042 1981 1913 1874 1877 1889 1862 1745 1571 1439 1385 1388 1409 1442 1542 1826 2206 2475 2658 2726 2622 2465 2392 2372 2356 2322 2285 2269 2272 2260 2268 2302 2338 2335 2277 2160 1980 1835 1710 1621 1561 1551 1588 1641 1667 1666 1650 1625 1580 1523 1452 1350 1138 863 540 352 252 198 172 146 114 69 44
2271 2245 2270 2306 2342 2385 2434 2482 2517 2526 2512 2495 2481 2480 2504 2567 2687 2872 3049 3193 3294 3357 3404 3444 3415 3351 3270 3170 3148 3221 3316 3335 3251 3169 3171 3174 3145 3105 3049 2906 2916 2977 2967 2852 2661 2456 2283 2116 1893 1695 1493 1314 1167 1056 997 990 1031 1167 1422 1733 2005 2163 2186 2056 1867 1766 1761 1799 1834 1862 1917 1958 1977 1967 1936 1898 1861 1813 1718 1559 1441 1411 1458 1554 1677 1827 1940 2010 2160 2308 2447 2528 2478 2379 2322 2318 2303 2249 2177 2120 2086 2052 2069 2086 2103 2120 2138 2111 1894 1525 1240 1072 1060 1140 1200 1204 1203 1183 1136 1109 1144 1224 1293 1274 1049 844 607 407 249 142 132 107 96 55 20
2450 2437 2437 2470 2508 2545 2578 2603 2613 2608 2592 2575 2572 2601 2665 2759 2889 3112 3237 3317 3355 3350 3357 3405 3338 3241 3082 2949 2928 3031 3192 3292 3226 3083 3046 3029 3025 3015 2910 2609 2571 2677 2612 2349 1967 1590 1307 1095 885 732 584 477 407 356 337 353 394 455 625 864 1101 1282 1370 1289 1158 1146 1249 1369 1453 1546 1688 1834 1939 1990 1989 1945 1870 1772 1651 1550 1529 1577 1643 1702 1784 1967 2108 2104 2075 2085 2126 2152 2130 2071 1986 1942 1885 1701 1502 1520 1529 1530 1558 1610 1664 1710 1741 1734 1555 1215 893 657 586 623 653 688 744 759 748 759 815 919 1047 1062 910 736 549 363 193 67 56 33 38 28 10
2622 2624 2623 2647 2678 2704 2718 2718 2708 2695 2681 2671 2685 2737 2824 2934 3059 3183 3259 3288 3302 3285 3262 3262 3196 3066 2863 2671 2534 2530 2714 3012 3074 2935 2887 2863 2870 2899 2826 2452 2298 2245 1975 1528 1045 672 470 347 248 192 136 95 73 65 73 107 152 178 238 317 407 523 629 600 542 586 733 879 967 1104 1367 1660 1899 2047 2069 1989 1880 1778 1693 1651 1659 1655 1615 1554 1512 1574 1648 1667 1647 1618 1601 1594 1576 1528 1409 1300 1168 1016 908 869 871 980 1114 1186 1252 1322 1353 1347 1253 1052 739 482 353 315 318 358 427 490 528 559 589 619 714 665 563 453 306 153 52 14 8 3 2 0 0
2796 2783 2789 2808 2827 2833 2827 2813 2799 2782 2768 2772 2807 2880 2977 3077 3163 3208 3210 3199 3208 3197 3167 3141 3057 2920 2701 2441 2193 2082 2266 2742 2896 2825 2805 2789 2787 2789 2734 2540 2190 1744 1227 746 386 178 96 56 33 21 9 1 0 2 7 24 51 66 84 97 109 136 180 170 170 207 320 453 534 635 909 1283 1660 1999 2164 2116 1989 1846 1715 1591 1464 1334 1216 1133 1081 1105 1129 1117 1076 1029 1004 1004 968 929 822 701 578 479 422 390 390 474 593 723 848 951 1008 1018 963 840 598 355 192 102 90 115 143 173 264 374 435 425 379 287 241 205 150 86 45 24 8 2 0 0 0
2956 2931 2922 2924 2928 2919 2902 2886 2871 2853 2846 2869 2929 3025 3127 3193 3192 3137 3113 3104 3105 3085 3051 3026 2971 2849 2637 2352 2075 1960 2148 2598 2783 2786 2798 2809 2820 2815 2742 2504 1962 1275 717 344 130 29 3 0 0 0 0 0 0 0 0 2 10 12 19 26 28 24 27 26 35 55 117 212 304 408 578 820 1157 1543 1868 2029 1971 1759 1535 1317 1090 879 733 677 661 673 673 642 583 524 496 504 455 430 378 311 252 224 236 252 360 432 445 469 539 635 721 713 628 541 390 209 74 12 8 11 12 13 39 120 265 374 418 347 272 236 218 188 143 93 51 19 3 0 0
3066 3040 3014 2996 2988 2973 2955 2939 2925 2912 2915 2960 3045 3149 3234 3254 3188 3092 3056 3065 3097 3106 3090 3068 3018 2895 2696 2413 2134 2050 2259 2616 2770 2785 2802 2834 2857 2834 2705 2358 1658 941 453 174 43 3 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 3 2 2 4 9 28 67 119 185 251 428 635 914 1239 1485 1538 1365 1112 859 613 430 349 344 352 354 338 296 238 187 165 168 135 124 116 106 105 129 191 312 367 320 279 287 332 398 510 482 379 276 174 81 18 0 0 0 0 0 1 22 104 235 409 428 395 359 323 285 246 196 135 67 19 4 0
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3106 3101 3094 3087 3061 3039 3024 3012 3005 3010 3045 3126 3232 3322 3352 3287 3141 3044 3043 3099 3162 3191 3182 3156 3132 3012 2886 2708 2561 2557 2704 2866 2902 2859 2827 2807 2742 2569 2218 1593 914 429 151 32 2 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 26 65 128 223 344 450 393 263 163 102 64 48 51 55 46 33 17 5 1 0 1 1 1 2 5 16 43 58 70 56 33 25 36 64 131 171 128 56 10 0 0 0 0 0 0 0 0 0 0 0 13 97 141 135 123 124 123 92 71 66 60 38 11 1
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6 7 8 9 9 9 10 10 11 11 11 11 10 9 8 8 7 7 7 7 6 4 4 3 2 2 1 1 1 1 1 0 1 1 1 2 3 4 3 2 3 4 6 10 14 18 21 24 28 23 19 17 18 19 22 18 10 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 0 0 0 0 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 8 15 20 22 19 14
3 3 3 4 4 5 6 6 7 7 6 6 4 4 3 3 3 3 3 4 3 2 2 1 1 1 2 1 1 1 1 1 0 1 1 2 2 3 5 6 9 12 14 16 18 17 17 19 21 19 16 14 12 10 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 12 17 21 24 25
2 2 3 3 3 4 4 4 3 2 2 2 1 1 1 2 3 4 4 3 2 2 2 2 2 2 3 3 4 4 4 3 2 2 3 4 5 6 7 9 12 14 13 12 12 10 9 9 11 15 16 11 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 0 0 0 0 0 0 0 0 0 0 1 1 2 4 12 17 22 25 26
2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 2 2 3 3 3 3 3 2 2 1 1 3 4 4 4 3 3 4 7 9 9 7 7 7 7 7 6 4 8 9 10 10 10 10 9 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 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 14 21 27 29
3 3 3 3 3 3 2 2 1 1 1 1 0 0 1 1 1 1 1 2 2 2 1 1 0 0 1 3 3 3 4 4 4 7 8 7 6 6 6 6 5 6 11 15 14 13 12 11 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 13 21 29 28
4 4 4 4 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 2 2 3 4 5 6 6 5 5 5 5 5 5 6 6 4 3 5 8 8 8 9 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 8 15 20 23 27 23
4 5 5 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 1 3 4 6 8 9 10 10 9 8 8 7 6 5 5 6 6 5 4 2 2 1 1 1 0 0 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 14 22 29 25 19
3 4 4 4 5 5 4 2 0 0 0 0 0 0 0 0 1 3 6 9 12 15 16 18 17 14 12 11 10 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 17 25 32 27 18
3 3 4 4 5 6 7 4 2 1 0 0 0 0 0 1 3 6 10 14 18 22 20 19 17 14 13 15 14 10 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 21 29 32 27 18
3 3 3 3 5 7 8 8 7 6 4 3 3 3 4 7 11 13 14 14 15 17 17 17 17 18 20 23 20 15 12 11 6 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 10 20 31 34 29 19
5 5 5 5 6 9 12 13 14 15 17 18 18 19 21 23 25 23 19 20 23 25 24 22 20 19 20 18 16 15 15 11 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 4 9 20 33 36 30 21