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 10 8 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 5 5 5 6 6 6 6 6 6 6 7 7 7 7 8 9 9 10 9 8 8 8 8 7 8 8 8 8 8 8 8 7 7 7 8 9 8 8 8 8 8 8 8 9 8 8 8 7 7 6 5 4 4 6 7 7 8 9 9 8 6 5 6 8 9 9 7 7 9 11 11 10 11 13 12 9 8 8 9 10 11 8 6 8 10 10 8 8 8 6 4 3 5 6 8 9 9 8 8 9 9 8 9 11 12 11 10 10 12 13 11 8 7 7 7 8 8 9 10 10 9 8 8 8 8 8 8 9 10 11 12 13 13 14 14 15 15 15 13 11 10 10 9 8 6 6 6 7 7 8 9 9 8 7 5 6 7 9 11 11 nan
nan 7 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 4 4 5 5 5 5 5 4 5 5 5 6 6 6 6 6 7 6 6 6 7 7 7 8 9 9 10 9 9 9 9 8 7 8 8 8 8 7 7 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 5 5 6 7 7 7 8 8 8 7 6 6 7 8 9 8 8 8 10 11 10 8 10 12 10 8 8 9 10 9 8 5 4 7 9 10 9 7 6 5 4 5 6 8 9 9 9 9 9 9 9 10 12 13 12 11 10 11 12 12 10 8 7 7 8 8 7 8 9 9 9 8 8 8 8 8 9 10 10 11 11 10 11 13 14 16 17 17 15 13 12 9 7 6 5 6 7 7 8 9 10 10 8 6 5 6 7 9 10 10 nan
nan 6 6 5 5 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 6 6 6 7 7 8 9 10 9 9 9 10 9 8 7 7 8 8 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 7 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 10 10 9 9 10 10 8 7 8 10 10 9 6 5 5 7 8 9 9 7 5 4 4 6 7 8 9 9 9 9 9 9 10 11 13 13 11 9 9 10 10 10 9 7 7 8 8 7 6 7 8 9 8 8 8 8 9 9 9 10 10 10 9 10 11 13 16 18 19 18 15 13 10 7 5 4 5 7 8 8 9 10 11 10 8 7 7 7 9 9 9 9 nan
nan 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 8 7 6 6 6 7 7 8 10 11 9 8 8 10 10 8 7 7 7 7 7 8 9 8 7 7 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 8 7 6 6 7 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 10 10 10 10 9 8 7 7 9 11 11 8 6 6 6 6 6 8 8 7 6 6 6 7 9 9 9 9 8 9 9 9 9 10 10 9 8 8 8 9 9 9 8 7 7 8 8 6 6 7 8 8 8 8 8 8 9 9 9 8 8 8 8 9 11 14 18 20 19 15 12 9 6 3 3 4 5 7 8 9 11 11 10 8 7 7 8 9 9 9 9 9 nan
nan 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 6 5 5 6 7 7 8 9 10 9 8 8 10 10 8 6 6 7 7 7 8 8 8 8 8 9 9 8 8 9 9 9 8 8 7 7 7 7 7 8 8 8 6 6 7 8 8 7 7 8 7 7 7 7 8 8 8 8 8 9 10 11 11 9 7 6 6 8 9 10 10 8 8 8 6 5 4 7 9 8 8 8 9 9 10 9 8 8 8 8 8 9 9 9 8 8 8 9 9 9 8 9 8 8 8 9 8 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 12 15 17 17 14 10 6 4 2 1 2 4 5 7 8 9 10 10 8 7 7 9 9 9 9 9 9 10 nan
nan 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 6 5 6 6 7 7 7 8 9 9 9 9 10 9 7 5 6 7 8 8 7 7 8 9 10 9 9 9 8 9 10 9 8 7 7 7 8 8 9 9 8 7 7 7 7 8 8 8 9 8 7 6 6 7 7 8 8 8 8 9 10 10 10 8 6 6 7 8 9 9 10 10 10 8 5 3 3 6 9 10 10 10 10 9 8 6 6 7 7 8 8 8 8 8 8 9 10 10 9 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 11 12 12 10 7 4 1 0 0 1 3 6 7 7 7 7 8 8 8 8 9 10 10 9 9 10 11 11 nan
nan 8 8 8 8 8 8 7 7 6 6 5 5 5 5 6 6 6 5 5 4 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 8 8 9 9 10 10 8 7 6 6 7 8 9 9 8 8 10 11 10 10 10 10 9 10 10 10 9 8 8 9 10 10 9 8 8 8 8 8 8 8 8 9 9 8 5 5 6 7 8 8 8 8 8 9 9 9 8 6 6 7 8 8 9 10 11 11 8 6 3 2 3 6 9 11 12 11 10 7 5 5 6 7 8 8 9 8 8 8 9 10 11 9 7 7 9 9 9 9 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 7 5 2 0 0 1 3 5 7 9 9 8 7 7 8 9 9 10 10 9 8 9 10 12 12 12 nan
nan 9 9 9 9 8 8 7 6 6 6 6 6 6 6 6 6 6 5 5 4 4 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 9 9 10 8 7 5 6 8 9 10 10 10 10 10 11 11 10 10 11 11 11 11 11 11 11 10 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 6 4 4 6 7 8 8 8 8 8 8 8 8 7 6 7 7 8 8 8 9 10 8 5 3 3 4 5 7 10 12 13 11 9 7 6 7 8 8 8 9 9 8 8 8 9 10 10 7 5 8 10 11 10 8 6 6 7 8 8 6 5 6 8 8 8 8 8 8 8 8 8 8 8 9 8 6 4 2 1 2 3 5 7 8 10 11 11 10 10 10 10 11 10 9 7 6 7 9 12 13 12 11 nan
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nan 11 11 11 10 9 8 7 7 6 6 7 7 7 7 7 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 9 8 7 6 7 8 10 12 12 12 10 7 7 8 9 9 10 11 11 11 11 10 10 9 9 8 8 8 7 7 7 7 8 8 8 8 8 7 6 4 3 4 5 7 7 8 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 6 6 6 7 7 7 8 11 13 13 12 10 9 8 8 6 4 3 5 7 7 7 8 10 12 13 13 11 11 11 10 9 7 5 6 9 10 10 9 9 11 13 12 10 8 6 5 6 7 8 8 8 7 6 5 5 4 4 5 8 8 9 8 8 8 9 9 10 10 10 11 10 8 6 6 8 10 10 8 6 5 6 nan
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nan 13 13 13 12 11 10 9 8 8 8 8 8 7 7 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 9 9 9 8 7 6 8 10 12 11 10 8 6 5 5 7 9 10 11 9 8 7 8 8 7 7 7 6 5 4 3 5 8 10 10 9 8 7 6 6 7 8 7 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 11 11 11 9 8 7 6 5 3 3 5 8 10 11 11 12 13 13 13 12 10 8 9 10 10 8 8 10 9 8 7 8 10 10 11 11 11 11 12 13 11 9 8 7 6 5 5 4 4 5 6 8 8 8 8 7 8 8 9 9 9 9 10 10 9 7 7 8 10 10 9 7 7 8 7 nan
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nan 11 10 9 8 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 7 7 8 8 8 9 9 10 10 9 8 6 4 5 8 11 12 11 11 11 11 10 8 7 6 7 9 11 12 12 11 9 8 9 7 4 3 4 8 11 10 9 7 6 4 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 11 14 15 13 9 7 5 6 8 7 5 3 3 4 4 5 6 8 11 13 15 15 13 12 13 13 11 10 9 9 10 9 9 9 9 9 9 9 10 11 11 11 12 14 14 14 14 14 13 12 10 9 9 8 8 7 7 7 7 7 8 9 9 9 9 10 11 11 11 10 11 11 11 10 nan
nan 12 10 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 6 5 7 10 12 11 10 10 10 10 8 7 7 8 10 11 10 10 9 9 8 9 8 6 5 5 7 9 9 8 8 7 7 6 6 7 8 8 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 10 13 15 15 12 8 6 5 6 7 7 6 5 5 4 5 7 10 11 12 11 11 9 9 10 12 12 11 9 8 9 10 9 9 9 9 9 9 9 9 8 8 8 8 10 11 13 14 15 14 15 15 14 12 11 9 8 8 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 9 nan
nan 13 12 10 10 10 9 9 9 9 9 9 9 9 8 8 8 7 7 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 10 11 11 10 8 8 9 9 8 8 8 9 10 9 9 8 8 8 8 8 7 6 5 5 7 9 9 9 9 9 10 10 9 8 8 8 8 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 11 13 15 14 10 6 4 4 5 7 8 8 7 7 7 8 9 9 9 7 6 6 7 8 10 11 11 10 9 10 10 10 10 10 9 9 9 9 9 8 8 8 7 8 9 10 11 12 13 13 14 15 16 15 13 11 9 7 6 6 6 6 6 7 7 7 8 9 10 10 10 10 9 9 9 nan
nan 14 13 12 11 11 10 10 10 10 9 9 9 8 8 8 7 7 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 10 8 6 5 6 7 8 8 8 9 9 9 8 8 7 7 7 8 8 6 5 5 8 11 11 11 11 11 12 12 10 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 10 11 13 15 12 7 3 2 3 5 7 9 9 9 9 9 10 9 8 7 6 6 7 9 10 11 11 11 10 11 12 12 10 9 9 10 9 9 9 9 9 9 9 10 12 12 12 12 11 11 12 13 14 15 15 14 12 10 7 6 5 5 5 5 4 5 5 7 8 9 10 10 9 9 8 8 nan
nan 14 14 13 12 12 11 11 10 10 10 9 8 8 7 7 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 7 5 5 6 7 8 8 8 9 9 9 8 7 6 6 8 9 9 7 5 6 9 12 12 11 10 11 11 11 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 11 14 15 10 4 2 3 5 7 9 10 10 10 10 10 11 10 9 8 8 9 9 9 10 11 11 10 11 12 12 11 10 9 9 9 9 10 9 9 9 9 9 11 13 13 13 12 11 11 11 12 12 12 12 12 12 11 9 8 8 7 5 3 3 3 4 6 8 8 9 8 8 8 8 8 nan
nan 14 13 13 12 12 11 11 10 10 9 9 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 6 7 8 9 9 9 9 9 9 8 6 5 6 8 8 7 5 5 7 10 12 11 10 10 9 9 9 9 8 9 9 9 9 9 8 8 7 7 7 7 7 7 8 9 9 10 9 9 9 10 12 14 14 8 4 4 6 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 10 9 9 8 8 8 8 7 7 7 8 9 9 9 8 8 8 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 9 7 5 5 6 7 8 7 7 7 6 7 7 7 7 nan
nan 12 12 12 11 11 10 10 10 9 9 8 7 6 6 6 5 5 5 5 5 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 8 8 8 9 9 9 9 8 7 6 5 4 6 7 6 4 5 7 9 11 12 11 10 9 9 8 8 8 8 8 8 9 9 8 7 6 6 6 7 7 7 8 9 9 10 10 9 9 9 10 11 12 9 6 5 7 10 11 10 10 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 8 6 4 4 4 4 4 4 5 7 8 8 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 9 9 10 10 9 8 9 9 10 10 9 6 5 5 5 6 7 7 7 nan
nan 11 10 10 9 9 9 8 8 8 7 7 6 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 7 6 5 5 5 6 6 5 4 6 9 11 12 12 10 9 9 9 9 9 9 9 9 8 8 9 8 6 5 5 5 6 7 8 10 10 10 10 10 9 9 9 10 10 9 6 5 7 10 10 9 8 9 10 11 11 11 11 11 12 12 13 14 16 15 14 13 11 8 6 5 5 6 6 5 6 6 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 7 6 5 6 8 8 8 7 8 nan
nan 9 8 8 7 7 7 7 6 5 5 5 5 5 4 5 5 5 5 5 5 4 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 7 7 7 7 6 7 9 11 13 13 11 9 8 8 9 9 9 9 9 8 8 8 8 7 6 4 4 4 5 7 9 10 10 9 9 9 9 9 10 10 9 8 7 7 9 9 7 6 7 9 10 11 11 11 11 11 11 11 13 15 17 16 14 13 12 11 10 9 10 11 11 11 10 10 9 8 9 10 11 11 10 10 9 9 9 9 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 8 10 10 9 8 8 8 nan
nan 8 7 6 6 6 6 5 5 4 4 4 4 4 4 5 5 5 5 5 5 4 4 4 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 12 13 13 12 10 8 8 8 9 9 9 9 9 9 8 8 8 7 6 4 2 3 5 7 9 9 9 8 8 9 10 11 11 11 10 9 8 9 8 7 6 6 8 9 11 11 11 11 11 11 10 10 11 12 11 9 9 11 12 13 13 14 15 16 16 16 14 12 10 9 9 10 12 12 10 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 7 8 8 10 11 10 9 8 8 9 nan
nan 7 7 6 6 6 5 4 4 4 4 4 4 4 5 5 5 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 10 10 9 8 8 8 9 10 10 9 8 7 8 11 12 13 12 11 10 8 7 7 8 9 9 9 8 8 8 8 7 7 6 5 3 2 3 5 8 10 11 10 9 9 10 11 12 13 12 10 9 8 8 8 7 8 8 9 10 10 10 11 12 12 11 10 10 10 9 7 6 8 12 15 16 16 15 16 16 15 15 14 13 11 9 9 10 11 10 10 9 9 9 9 9 9 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 9 nan
nan 7 7 7 6 6 5 5 4 5 5 4 4 5 5 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 7 7 8 9 10 11 11 10 8 7 9 11 12 12 10 9 7 6 6 7 9 9 9 8 8 7 7 7 6 6 7 6 5 3 4 5 8 11 12 11 10 9 9 10 11 11 10 8 6 6 7 7 8 9 10 10 10 9 10 11 12 12 11 12 11 11 10 9 10 12 16 18 17 16 14 13 11 10 10 11 11 10 9 7 7 7 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 7 7 6 6 5 5 6 6 6 6 5 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 10 8 6 6 9 11 10 9 8 7 6 6 6 8 10 10 9 8 7 7 6 6 6 6 7 7 5 3 2 4 8 10 9 8 7 6 6 7 8 8 6 4 4 5 6 8 9 9 10 10 10 10 10 11 11 12 12 12 11 11 11 12 14 18 20 19 17 14 13 11 10 10 11 12 12 11 10 8 6 6 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 8 8 9 8 8 8 7 7 7 8 nan
nan 8 7 7 7 7 6 6 6 6 7 7 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 10 11 11 11 10 10 9 6 5 6 9 9 8 7 6 6 6 5 6 8 10 9 8 8 7 7 7 6 6 6 6 5 3 1 2 5 8 8 7 6 6 6 6 7 7 7 6 5 5 6 8 9 10 10 10 10 10 10 11 11 12 13 13 12 11 11 12 15 18 21 21 18 14 13 14 15 16 17 17 16 15 14 12 10 8 6 6 7 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 8 8 9 9 8 8 8 8 8 8 nan
nan 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 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 9 8 9 9 9 10 12 13 12 10 9 8 8 7 7 8 9 8 6 5 5 5 4 4 6 8 9 9 8 8 8 8 8 7 7 7 6 4 2 1 4 7 8 8 8 8 8 7 8 8 8 8 8 7 8 8 9 10 10 10 10 10 10 11 11 11 13 14 15 15 13 12 14 17 20 20 18 14 11 12 15 18 20 19 18 16 15 14 13 11 8 5 4 5 6 7 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 7 7 7 8 8 9 10 10 9 9 8 8 8 9 nan
nan 8 7 7 7 8 8 7 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 9 9 10 11 12 12 10 8 7 8 8 9 9 10 9 7 4 3 3 3 3 5 7 8 8 8 8 8 8 8 8 8 8 7 6 3 2 3 6 7 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 13 16 17 17 14 13 15 17 17 16 12 9 10 12 14 16 16 14 13 13 12 12 12 10 7 4 2 2 3 6 8 9 9 9 9 9 9 9 10 10 11 10 10 10 9 9 8 8 8 7 8 8 8 9 10 10 10 9 9 9 9 9 nan
nan 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 11 11 9 8 6 7 9 9 10 10 9 7 5 3 3 4 4 6 7 8 8 7 7 8 8 8 8 8 8 8 6 3 2 2 5 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 11 10 11 13 16 17 16 12 11 11 12 13 13 11 10 12 14 15 15 13 12 13 13 13 12 11 9 8 6 5 3 4 5 7 9 10 10 9 9 9 10 10 11 11 11 10 10 10 9 9 9 8 8 8 8 9 9 9 10 10 10 9 9 8 8 nan
nan 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 7 8 9 9 8 7 6 4 3 3 4 6 8 10 11 10 9 8 9 10 9 7 7 7 8 7 4 2 2 4 6 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 11 11 11 11 12 15 16 15 10 7 7 9 12 15 14 13 14 15 16 16 17 17 17 17 17 15 13 12 11 10 9 8 7 8 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 nan
nan 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 6 7 7 8 7 6 4 3 2 3 4 6 8 10 11 12 12 11 11 11 10 7 6 6 8 9 6 3 3 4 6 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 11 12 10 9 11 15 17 14 8 5 5 9 15 17 16 15 15 16 17 18 19 20 21 20 20 19 16 15 14 13 12 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 nan
nan 7 7 7 7 8 8 8 8 8 7 7 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 8 8 9 9 9 9 8 8 7 7 6 6 6 6 5 5 4 3 3 4 5 6 8 9 10 11 12 12 12 11 9 6 5 5 7 10 8 5 3 4 6 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 10 8 9 12 17 17 12 6 3 6 12 17 18 16 15 15 16 16 18 20 21 20 20 19 18 17 16 15 14 13 12 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 nan
nan 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 6 6 6 6 6 7 7 7 7 6 6 6 6 6 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 9 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 6 6 6 6 5 5 5 6 7 8 9 10 10 11 11 12 12 10 8 6 6 7 8 10 10 6 4 4 6 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 9 9 9 9 10 9 9 9 9 9 9 9 8 11 15 18 15 8 4 5 9 14 16 16 14 14 15 15 16 18 20 21 20 18 17 16 16 17 16 16 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 8 8 8 8 8 nan
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nan 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 6 6 6 6 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 6 6 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 7 6 5 4 4 4 4 4 5 6 7 8 9 9 8 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 9 9 9 9 10 10 12 15 17 14 8 7 10 13 14 11 8 9 11 13 15 16 15 14 14 14 13 13 14 15 15 13 11 11 11 11 10 8 8 9 9 10 10 10 10 11 11 11 11 11 11 12 13 13 13 12 12 11 10 10 9 9 9 9 9 8 8 8 8 8 nan
nan 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 6 7 6 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 8 6 5 4 4 4 5 7 7 8 8 9 9 9 8 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 9 9 10 10 10 12 14 16 13 9 10 12 14 12 8 6 8 9 10 11 11 11 12 13 12 11 12 15 16 15 13 10 10 10 10 10 9 9 9 10 10 10 10 11 11 11 12 12 12 13 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 nan
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nan 14 14 13 13 13 13 13 13 13 13 13 12 12 12 12 11 11 10 10 9 10 10 10 10 10 9 9 8 7 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 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 10 10 10 11 12 12 12 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 8 6 3 3 4 6 6 7 7 8 8 10 14 18 21 24 20 15 13 12 12 14 16 17 17 17 15 14 12 11 9 9 8 6 3 1 1 1 2 4 6 8 8 8 6 4 2 2 4 7 9 10 11 14 17 18 17 15 14 13 13 13 12 12 11 11 12 12 12 13 12 nan
nan 13 13 13 12 12 12 12 12 13 13 12 12 12 12 11 11 10 10 9 9 10 10 10 10 10 9 9 8 7 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 11 11 10 11 11 11 11 10 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 8 5 4 4 5 6 7 8 9 9 12 15 20 25 26 21 16 14 13 14 16 18 18 17 16 15 14 14 13 12 10 9 7 4 3 3 3 3 4 6 7 7 6 4 2 2 3 6 9 10 10 11 14 17 18 17 15 14 14 13 13 13 12 12 12 12 12 12 12 11 nan
nan 13 13 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 10 7 5 5 5 6 7 8 9 11 13 17 23 29 29 22 18 15 13 14 16 18 18 17 15 13 13 13 12 11 10 8 6 5 4 4 4 4 5 7 7 6 5 4 4 4 6 8 10 10 11 12 13 15 16 17 16 15 14 14 13 13 12 12 12 12 12 12 11 11 nan
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nan 12 12 12 12 12 12 12 11 11 10 10 10 9 8 8 8 9 10 11 11 11 11 10 10 9 9 8 7 7 6 6 6 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 10 10 10 10 10 12 13 13 12 9 7 7 8 10 10 9 7 6 7 9 10 10 11 10 10 11 10 11 11 11 11 11 12 11 10 8 6 6 7 8 9 10 12 15 19 25 30 31 28 24 19 16 15 16 16 18 19 18 16 14 12 11 9 8 7 6 6 7 8 9 10 9 7 5 4 5 6 6 7 9 10 11 11 12 12 12 12 14 16 18 17 16 14 13 12 12 12 11 11 10 10 10 12 nan
nan 12 12 12 12 11 11 11 11 10 9 9 9 9 9 8 8 9 11 11 12 11 11 10 10 9 9 8 7 7 6 6 7 7 7 8 8 8 8 8 8 9 9 10 10 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 12 12 11 9 6 5 6 8 9 9 8 7 7 7 9 10 11 11 11 11 11 11 11 12 12 12 12 12 11 10 8 5 5 7 8 10 11 13 15 18 22 28 33 33 29 24 19 17 16 17 19 20 19 17 15 13 10 9 8 7 7 7 8 9 10 10 8 6 3 2 4 5 7 8 10 11 12 12 12 12 12 12 14 16 18 18 16 14 12 11 11 10 9 7 7 8 11 14 nan
nan 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 11 11 12 11 11 10 9 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 9 9 9 10 10 10 10 11 12 13 12 10 8 6 7 8 9 9 9 9 9 8 9 10 11 12 12 12 12 12 12 12 12 12 12 12 11 10 9 6 4 4 5 8 10 12 13 14 16 19 26 34 37 34 29 23 20 18 18 19 19 18 17 16 14 11 10 9 7 7 8 8 9 9 8 7 4 1 1 2 5 7 10 11 12 13 13 12 12 12 12 13 15 17 18 17 14 11 9 8 7 6 5 7 11 16 18 nan
nan 12 12 11 10 10 9 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 10 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 9 9 10 11 11 11 11 10 10 9 9 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 8 8 8 7 8 9 9 10 10 11 12 13 14 14 12 9 7 8 9 9 10 9 9 10 9 9 9 10 11 11 11 11 11 12 13 13 12 12 12 11 10 8 6 5 4 3 5 7 10 12 12 13 14 17 24 33 37 36 29 23 20 20 19 18 17 17 17 16 14 12 11 9 7 7 8 8 9 9 8 6 3 -0 -0 2 5 9 11 12 13 13 13 12 12 12 12 13 15 17 19 18 13 9 6 6 6 7 9 12 18 22 22 nan
nan 12 11 10 9 9 9 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 10 9 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 10 11 12 12 11 11 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 11 10 10 9 9 8 7 7 6 7 8 9 10 11 12 13 14 14 12 10 8 8 9 10 10 10 10 10 10 9 9 9 10 11 10 10 11 12 14 15 14 12 11 11 9 7 5 5 5 4 5 6 8 9 10 10 11 12 14 22 30 34 34 27 21 20 20 19 18 18 18 18 17 15 14 12 9 8 8 9 9 9 9 7 5 2 -1 -0 3 7 11 12 13 13 13 13 12 12 12 12 12 15 18 19 17 11 5 4 5 9 11 14 18 22 24 23 nan
nan 11 11 10 9 9 9 9 9 9 9 8 8 9 9 9 9 10 10 11 12 11 11 10 9 8 8 8 8 7 7 7 7 7 7 8 8 9 9 10 11 12 12 12 11 10 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 12 12 11 10 10 9 9 8 7 6 6 6 7 8 9 10 11 11 12 12 11 9 8 8 9 10 11 11 10 10 10 10 10 10 10 10 10 11 12 13 14 15 15 13 11 10 10 9 9 8 7 5 6 8 9 9 7 7 8 9 10 13 18 24 27 28 25 21 20 19 20 21 21 20 18 17 16 14 12 10 10 10 10 10 9 7 6 4 1 -0 1 5 9 12 13 14 14 13 13 12 12 11 12 13 15 17 18 13 7 3 4 8 13 15 17 19 22 24 24 nan
nan 11 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 11 11 11 11 10 9 8 8 7 7 7 7 7 7 7 7 8 8 9 10 11 12 12 12 12 11 10 9 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 11 10 10 9 8 8 8 8 7 6 6 6 7 8 9 10 10 11 11 11 10 10 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 12 13 13 14 14 12 10 9 8 9 11 12 10 7 4 6 11 13 11 6 4 5 8 10 12 14 17 19 22 23 22 21 21 24 25 24 20 17 16 16 15 13 12 12 11 11 9 8 7 6 5 2 1 4 8 11 13 14 14 13 13 12 12 11 11 12 15 17 17 13 7 4 4 7 12 15 16 17 19 22 24 23 nan
nan 10 10 10 10 9 8 8 8 8 8 8 8 9 9 10 9 9 10 11 11 11 10 10 9 8 8 7 7 7 7 7 7 7 7 8 9 10 11 12 12 12 12 11 10 10 9 8 8 7 7 7 8 8 9 9 9 9 10 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 7 7 6 6 6 7 8 9 10 10 11 11 11 11 11 12 14 14 14 13 12 12 12 12 12 12 13 13 12 12 12 12 11 11 11 10 9 8 8 9 12 13 11 7 3 6 13 15 11 4 1 4 8 10 11 11 12 14 17 20 20 21 23 26 27 23 19 16 15 15 15 14 14 13 12 10 8 7 7 7 6 3 2 6 9 12 14 14 13 13 12 12 12 11 11 13 16 17 14 7 3 3 6 11 14 15 16 17 20 22 24 23 nan
nan 10 10 10 10 9 8 8 8 8 8 8 9 9 10 10 10 10 10 11 11 10 10 10 9 8 7 7 7 7 7 7 7 7 8 8 9 11 11 12 12 12 11 11 10 9 8 8 7 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 7 7 6 6 6 7 8 9 10 11 11 12 11 11 12 14 15 16 14 12 12 13 14 14 13 13 14 14 14 14 14 12 11 11 10 9 9 9 9 10 12 13 13 10 7 9 13 12 8 2 1 4 8 10 10 10 10 11 13 15 16 18 22 25 24 22 19 17 15 14 14 14 13 12 10 8 6 5 6 7 5 3 4 7 11 13 13 13 13 13 12 12 11 11 11 12 14 14 10 4 3 5 9 13 14 15 16 18 20 23 23 21 nan
nan 10 10 11 10 9 9 8 8 8 8 9 9 9 10 10 10 10 10 11 10 10 10 9 9 8 8 7 7 7 8 7 7 8 8 9 10 11 12 12 12 11 11 10 9 8 8 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 7 6 6 6 6 7 8 9 10 11 11 11 10 10 12 14 15 14 12 11 11 12 13 13 12 13 14 15 16 16 16 14 12 11 10 9 9 8 9 10 11 13 14 12 11 11 11 8 4 3 5 8 10 10 9 9 9 10 11 12 13 15 18 20 20 20 20 18 16 15 13 12 11 10 7 5 3 3 4 6 6 6 8 10 12 13 13 13 12 12 12 12 12 11 10 10 10 9 6 4 5 8 11 13 14 15 17 20 22 22 21 18 nan
nan 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 8 7 7 8 8 8 8 9 9 11 12 12 12 11 11 10 10 9 8 7 7 7 6 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 6 5 6 7 8 9 10 11 12 12 12 11 12 13 14 14 13 11 11 11 11 11 11 11 12 13 15 15 15 14 12 11 9 9 8 8 8 9 10 11 12 13 13 13 12 9 6 5 7 10 11 11 9 8 8 8 8 10 11 12 13 14 15 16 19 20 20 17 15 13 11 8 6 4 3 2 3 5 7 9 10 11 12 12 12 12 12 12 12 13 13 13 11 9 8 7 6 5 6 7 10 12 13 15 17 20 22 22 21 18 15 nan
nan 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 7 7 7 8 8 9 9 10 11 12 12 12 12 11 10 10 9 8 7 7 6 6 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 6 6 6 6 7 8 9 11 14 15 15 14 13 14 14 15 14 12 11 10 10 10 10 10 10 12 13 13 13 12 11 10 9 9 9 8 8 9 9 10 10 11 12 13 14 13 10 7 8 11 12 12 10 8 7 6 7 8 9 10 11 12 12 12 14 17 20 20 19 16 11 7 5 4 3 2 3 6 8 11 12 12 12 12 12 12 12 13 13 13 15 15 15 12 9 7 5 4 4 6 8 10 11 13 16 20 22 22 20 17 14 12 nan
nan 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 7 7 7 7 8 9 10 10 11 12 12 12 12 11 11 10 9 8 7 7 6 6 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 8 7 7 7 8 9 10 11 13 16 16 14 13 13 13 14 13 12 11 10 10 10 10 10 10 11 12 12 12 12 11 10 10 10 9 9 9 9 9 10 10 10 11 11 12 13 13 12 12 13 14 14 12 9 6 5 4 5 8 10 10 11 11 11 11 13 16 19 20 19 15 9 4 3 2 3 5 8 10 12 13 13 12 11 11 12 13 14 14 14 14 15 15 14 11 8 5 3 2 2 5 8 9 12 15 19 22 22 19 16 13 11 11 nan
nan 10 11 10 10 10 10 10 10 10 9 9 9 9 9 8 9 9 10 10 10 11 10 10 9 9 9 8 8 7 7 7 8 9 10 11 11 12 12 12 12 11 10 10 9 8 7 7 7 7 7 7 8 8 9 9 10 10 10 10 9 10 10 10 11 11 11 11 11 10 10 10 10 9 9 10 10 11 11 11 12 15 15 14 12 11 10 11 11 11 10 10 10 10 11 11 10 11 11 11 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 13 13 14 15 16 16 14 11 8 5 2 0 3 8 10 11 10 10 11 12 13 16 18 19 18 13 7 5 4 5 8 10 12 14 15 14 12 10 10 12 13 14 14 14 14 13 13 12 10 8 6 4 2 1 3 6 9 11 13 17 20 21 19 15 12 11 11 12 nan
nan 10 10 10 11 11 11 10 10 9 9 8 8 8 8 8 9 9 10 10 10 11 11 10 9 9 9 9 8 7 7 7 8 9 10 10 11 11 11 12 11 11 10 9 8 8 7 7 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 12 11 11 12 13 14 13 12 10 9 9 9 10 10 10 10 10 11 10 10 10 10 11 11 11 11 11 10 10 10 11 11 11 10 10 10 10 10 11 11 11 12 12 13 14 16 16 15 13 11 8 5 2 0 4 10 12 12 11 10 10 12 15 17 18 17 15 10 7 7 8 10 12 14 16 16 16 13 10 8 9 11 13 13 12 11 11 10 8 8 7 7 7 6 5 6 8 10 12 13 16 18 19 17 15 12 11 11 11 12 nan
nan 10 10 11 11 11 11 10 9 9 8 7 7 7 8 8 8 9 9 10 11 11 11 10 10 9 9 8 8 8 8 8 8 9 9 10 10 10 11 11 11 10 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 11 11 12 11 11 11 10 10 10 9 9 10 10 10 10 10 11 12 13 13 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 10 10 9 10 10 10 11 11 12 12 13 14 15 15 14 12 11 9 6 4 4 8 11 13 13 12 11 11 13 15 16 16 15 12 9 9 9 11 12 14 15 15 15 13 10 7 6 8 10 12 11 10 10 9 9 8 8 10 11 12 10 10 11 11 12 13 15 16 16 15 13 11 10 10 11 11 12 nan
nan 11 11 11 12 11 11 10 9 8 8 7 7 7 7 8 8 8 9 10 11 11 11 11 10 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 11 12 12 12 11 11 11 11 10 9 9 9 9 9 9 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 11 11 11 11 11 10 9 9 10 10 11 11 12 12 13 13 14 14 13 12 11 10 8 7 8 10 11 12 13 13 13 13 14 14 14 14 12 10 9 9 10 11 12 13 13 12 11 10 8 7 8 10 12 14 13 12 12 11 11 11 12 14 14 14 12 12 11 11 12 12 13 13 12 11 11 10 10 10 10 10 10 nan
nan 11 12 12 12 11 11 10 9 8 8 8 8 8 8 8 8 8 9 10 10 11 11 11 10 10 9 9 8 8 9 9 9 9 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 12 12 11 10 9 9 9 10 10 10 11 11 11 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 11 11 11 10 10 10 11 11 11 11 11 11 10 9 9 9 10 10 11 11 12 12 13 14 13 12 11 10 10 9 9 9 10 10 11 12 14 14 15 14 12 12 11 11 9 9 8 9 11 12 12 12 11 10 10 11 11 12 13 14 15 15 14 13 13 13 13 13 13 13 12 11 11 11 10 10 11 11 11 10 11 11 11 10 10 10 9 8 nan
nan 12 12 12 11 11 10 9 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 10 10 9 9 9 9 9 10 10 10 9 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 12 11 11 10 9 10 11 11 11 10 9 8 9 10 11 11 11 11 11 10 10 9 9 9 9 8 7 7 7 8 9 9 9 9 9 9 10 10 10 11 11 10 10 10 11 11 11 11 11 11 10 9 9 9 9 10 10 10 11 11 11 11 10 9 8 9 10 11 11 10 10 10 11 13 14 15 15 14 12 11 11 10 9 8 8 9 11 12 12 12 11 11 12 13 13 13 13 14 14 14 13 12 12 12 12 11 11 10 10 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 nan
nan 12 12 11 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 12 12 11 9 8 8 9 9 8 7 7 7 9 10 11 11 11 10 9 9 8 8 9 9 9 8 7 7 7 8 9 9 8 8 8 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 7 5 3 2 2 6 10 13 14 13 12 11 11 11 12 13 13 14 13 12 11 9 7 7 9 11 13 14 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 9 9 9 10 11 11 11 10 9 9 9 8 7 7 7 8 10 11 11 11 10 9 8 8 8 8 8 8 9 8 8 8 9 9 8 6 5 4 5 6 7 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 7 4 -1 -4 -4 -3 1 6 11 15 16 16 15 14 13 12 10 10 11 13 13 12 9 4 2 5 11 16 19 18 15 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 nan
nan 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 9 8 9 9 11 12 11 10 9 9 9 9 9 8 8 7 7 7 8 9 9 8 6 4 2 1 3 5 6 7 8 8 8 9 9 10 10 10 11 11 11 11 11 10 10 9 8 7 6 2 -3 -8 -8 -4 1 6 9 11 13 14 15 15 15 14 12 8 7 8 12 13 12 8 2 1 7 14 21 24 21 16 12 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 11 11 nan
nan 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 11 11 11 11 12 12 12 12 11 10 10 10 10 11 11 10 9 9 10 12 12 11 10 8 7 5 6 7 7 7 6 5 3 3 4 6 7 8 8 7 6 6 6 7 9 10 10 11 11 11 11 9 9 8 6 4 2 -0 -4 -7 -7 -3 3 8 11 11 11 10 11 12 13 13 12 10 8 7 9 11 13 11 8 4 5 11 17 23 24 20 16 12 10 9 9 9 9 9 10 10 10 10 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 nan
nan 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 13 13 13 12 11 11 11 11 11 11 11 10 9 9 9 10 9 9 9 9 10 12 14 14 14 13 12 11 9 8 7 7 5 4 3 4 6 8 10 10 10 10 8 7 6 6 7 9 10 10 12 12 12 10 7 5 4 2 0 -2 -3 -4 -3 1 6 10 11 11 11 10 10 11 11 11 11 11 10 9 9 10 11 11 10 9 9 12 17 21 23 21 18 15 12 10 10 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 nan
nan 10 10 9 9 9 9 9 9 9 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 10 10 10 10 10 10 9 9 9 9 9 8 8 9 10 10 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 10 9 8 8 8 8 8 8 8 9 9 10 12 13 13 14 14 15 16 16 14 11 9 7 5 5 6 8 10 11 11 11 11 10 10 9 9 9 9 10 12 14 14 12 9 6 4 3 2 1 1 1 3 5 9 11 12 12 11 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 16 20 23 22 18 15 13 12 11 10 10 10 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 0 0 0 0 0 0 1 3 4 4 5 6 6 7 7 7 7 8 7 6 7 8 8 8 9 9 10 11 13 15 17 19 18 20 20 20 20 20 20 21 23 23 20 17 15 15 16 18 22 19 15 12 10 8 6 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 8 11 13 14 13 12 11 10 8 6 5 6 4 5 9 12 15 17
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