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 11 10 10 10 10 10 9 10 11 11 10 8 7 6 6 8 8 9 9 9 8 7 5 4 6 9 9 9 7 6 5 6 7 7 6 6 5 7 8 7 7 7 8 8 8 8 7 6 5 5 6 6 6 5 5 5 6 6 6 6 6 7 7 7 6 6 6 6 6 6 7 7 7 7 8 8 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 7 7 6 6 6 6 7 8 8 8 8 8 9 9 8 8 7 7 8 9 9 9 10 11 11 11 10 10 9 9 9 8 7 6 7 7 7 7 7 7 6 5 5 5 6 7 7 8 8 6 5 4 4 5 5 5 4 3 4 4 5 5 6 7 9 10 10 10 9 8 7 7 7 8 8 9 9 9 8 8 8 8 7 8 8 7 7 8 8 9 9 nan
nan 12 11 10 10 10 9 9 9 10 12 13 12 9 6 4 4 6 9 10 10 10 9 8 5 4 7 10 10 9 7 6 6 8 8 8 7 6 5 6 6 6 6 7 8 9 9 8 8 7 6 5 6 6 6 6 5 5 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 7 7 7 6 7 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 7 7 7 7 7 7 7 8 8 8 9 9 10 10 9 8 8 7 7 8 9 10 10 11 11 11 10 9 9 9 9 8 7 6 6 6 7 8 8 7 7 7 6 6 6 7 8 8 7 6 5 5 6 6 8 8 8 7 5 5 4 4 4 5 6 8 10 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 nan
nan 11 10 9 9 9 9 9 8 9 11 13 13 11 8 5 4 5 8 10 10 10 10 9 6 5 7 9 10 9 8 6 7 8 9 8 8 7 6 5 5 6 6 7 8 9 9 9 9 8 7 6 6 7 8 7 6 6 6 7 7 7 6 6 6 6 6 6 5 5 5 6 6 7 7 6 5 5 6 7 8 8 9 9 9 10 10 9 9 10 10 10 10 9 8 8 8 8 7 7 7 7 7 7 7 7 9 10 10 10 9 8 8 8 8 9 9 10 11 11 11 10 10 9 9 8 7 6 5 4 4 5 7 8 8 8 8 7 7 8 8 9 9 8 7 6 6 7 8 9 10 10 9 7 6 6 5 4 3 4 6 8 10 10 10 9 8 7 7 7 7 8 8 8 8 7 8 8 8 8 8 8 8 7 8 9 nan
nan 10 9 9 9 9 9 9 8 8 9 11 13 13 11 7 5 5 7 9 10 11 10 9 7 6 7 8 9 10 8 6 6 7 8 9 9 9 8 6 6 6 6 6 7 8 8 8 9 9 8 7 7 7 9 9 8 8 8 8 9 9 8 7 6 7 7 7 6 6 6 6 7 8 8 7 5 5 5 6 7 7 8 8 7 8 8 8 8 9 10 10 11 10 9 9 8 8 8 8 8 7 6 6 6 6 8 9 10 10 10 9 8 8 8 8 8 8 9 10 10 10 10 10 9 9 8 7 5 4 3 4 6 7 8 8 8 8 8 8 9 10 9 8 7 6 7 7 8 9 10 10 8 7 7 7 7 5 3 3 4 6 8 10 10 10 9 9 8 7 7 7 7 8 8 7 7 8 8 8 8 8 8 8 8 9 nan
nan 10 9 9 9 9 9 9 8 7 8 10 12 13 12 9 7 6 6 8 9 11 11 10 8 7 7 7 9 10 9 7 5 6 7 8 9 10 10 9 7 6 6 6 7 8 8 8 9 9 8 8 8 8 8 10 10 9 9 10 11 11 10 9 8 7 7 8 8 8 7 7 7 8 9 8 7 6 6 6 7 7 8 7 6 6 6 6 7 7 8 9 10 10 10 10 9 9 9 9 8 8 6 5 5 6 8 9 10 11 10 9 9 8 8 7 7 6 7 8 8 8 9 9 9 9 9 8 7 6 5 4 5 6 6 7 7 7 7 8 9 10 10 9 7 7 7 7 7 8 9 9 8 7 7 7 7 7 5 4 4 6 8 10 11 11 11 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 10 10 10 10 9 9 9 8 8 8 9 11 12 11 9 8 7 8 8 9 11 11 10 8 7 6 6 8 9 9 8 6 6 6 7 9 10 11 10 9 7 6 6 7 7 8 9 9 10 9 9 9 9 9 10 11 10 10 10 12 13 12 11 10 9 9 9 10 10 9 8 7 8 8 8 8 7 7 7 7 7 8 8 7 6 6 5 5 5 6 6 7 7 8 9 10 10 11 10 10 10 8 6 5 6 8 9 10 11 11 10 9 8 8 7 7 7 7 7 7 7 8 8 9 9 9 8 8 7 6 4 4 5 5 4 5 5 5 6 7 9 10 9 8 7 7 6 5 5 6 8 8 8 8 8 9 9 8 7 6 7 8 10 11 12 12 12 11 10 8 7 7 7 8 8 8 8 8 7 7 7 8 7 7 8 nan
nan 12 12 11 10 10 10 9 9 8 8 9 10 12 10 8 8 9 10 9 10 11 11 10 8 6 5 5 6 8 9 8 7 6 7 7 8 9 10 10 10 9 7 7 7 7 8 9 11 11 11 11 11 11 10 11 10 10 10 10 11 12 13 13 12 11 11 11 11 11 10 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 6 5 4 4 5 5 5 6 7 9 10 11 11 11 11 10 8 6 6 7 9 10 11 11 10 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 6 4 3 3 3 3 3 4 4 5 6 8 9 9 8 8 7 6 5 4 4 5 7 8 9 9 9 10 10 8 7 7 8 9 10 12 13 13 13 12 10 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 nan
nan 13 13 13 12 11 11 10 10 9 8 9 10 11 10 9 9 10 12 12 11 11 11 10 9 8 6 5 5 7 8 8 8 8 7 7 7 8 9 10 10 10 8 7 7 7 8 9 11 12 12 11 10 10 10 9 9 8 8 9 9 10 11 12 12 11 10 10 10 10 9 8 7 8 8 8 8 8 8 8 8 8 8 9 10 10 9 8 6 5 5 5 5 5 5 6 7 9 10 10 11 12 11 10 8 7 8 9 10 11 11 10 8 7 7 8 8 9 9 9 9 9 8 7 7 8 8 8 8 8 7 6 5 4 3 3 3 4 5 5 5 7 8 9 9 8 8 7 6 5 4 3 4 6 7 7 7 8 8 7 7 7 7 7 8 9 11 13 14 13 12 10 9 9 9 9 8 8 8 9 8 7 7 7 7 7 nan
nan 14 15 14 13 13 12 12 11 10 9 9 9 10 10 11 12 12 13 14 13 11 11 12 12 11 9 7 6 6 7 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 9 8 8 7 7 6 6 7 7 8 8 9 9 8 7 7 7 8 8 7 7 8 8 9 9 9 9 9 10 10 10 11 12 12 12 10 9 8 7 7 7 7 7 6 6 7 9 10 10 11 11 11 10 10 10 10 10 11 10 9 7 7 7 7 8 9 9 10 10 10 9 7 7 8 8 8 8 8 8 8 8 6 5 4 4 4 4 5 5 6 8 9 9 9 9 9 9 8 6 4 3 4 4 4 4 6 7 7 8 8 7 6 6 7 10 12 13 13 12 11 10 10 10 9 9 8 9 9 9 8 7 7 7 7 nan
nan 15 15 15 14 14 13 13 12 11 10 9 9 10 11 12 13 13 14 14 13 12 11 12 12 12 12 11 9 8 7 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 8 9 9 9 8 8 8 8 7 6 6 6 6 6 7 7 7 6 6 6 6 7 7 8 8 8 9 9 10 10 10 10 11 11 12 12 12 13 13 12 11 9 8 8 8 8 8 8 6 7 8 9 9 10 11 11 11 10 10 10 10 10 10 8 7 6 7 7 8 8 9 10 11 11 10 8 8 8 8 8 8 8 9 9 9 8 6 4 4 4 5 5 5 6 7 9 10 10 10 10 10 10 9 6 5 5 4 4 4 5 7 9 10 9 8 7 6 7 9 10 11 12 13 12 12 11 11 10 9 9 9 9 9 8 7 8 8 8 nan
nan 16 16 15 15 14 14 14 13 12 11 10 11 11 11 11 12 12 12 11 11 10 9 9 10 12 13 15 14 11 9 9 10 11 11 10 10 9 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 9 8 6 6 5 6 6 7 6 6 6 6 7 7 8 9 9 10 11 11 10 10 10 10 11 12 13 12 11 12 13 13 12 10 9 8 7 8 9 9 8 8 7 7 7 8 10 10 10 10 10 9 9 9 9 8 7 7 7 7 8 8 9 10 11 12 11 10 9 8 8 8 8 8 9 10 10 10 8 5 5 5 5 5 5 5 6 8 9 10 10 10 10 11 10 7 6 6 6 6 6 6 8 9 10 9 8 6 5 7 7 7 9 11 13 13 12 12 12 11 10 10 9 9 9 8 9 9 9 9 nan
nan 16 16 16 16 15 14 14 13 12 11 11 11 11 11 11 11 10 9 9 7 6 5 6 7 10 13 16 17 15 13 11 11 12 12 11 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 11 11 11 10 9 7 6 6 7 7 7 6 6 6 7 8 8 9 10 11 11 12 12 12 11 11 10 10 11 12 11 11 11 12 13 12 11 10 8 8 8 8 9 9 9 8 7 6 7 8 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 9 9 10 10 11 10 10 9 8 8 8 8 9 9 11 11 10 9 7 6 5 5 5 4 5 6 7 8 9 10 10 10 9 7 6 7 8 8 8 8 8 8 7 6 5 4 5 6 4 4 5 7 10 11 12 12 12 12 11 11 10 9 9 9 9 10 9 9 nan
nan 15 15 16 15 15 14 13 13 12 11 10 10 9 9 9 9 9 8 7 5 4 4 5 6 9 12 14 16 17 16 14 13 13 12 12 11 10 9 8 8 7 7 7 8 8 9 9 9 8 8 8 9 10 10 10 10 9 7 6 6 8 8 8 8 7 7 7 8 9 10 11 11 11 12 12 12 12 11 11 10 9 10 10 11 11 12 12 11 11 10 9 8 8 9 9 9 9 9 8 7 6 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 9 8 8 9 9 9 10 11 11 11 9 7 5 5 5 4 4 5 6 7 8 9 9 9 8 8 7 7 7 7 8 8 7 6 4 3 2 2 4 5 4 3 2 3 4 7 10 12 13 12 12 12 11 10 10 9 9 9 9 8 nan
nan 12 13 14 14 13 12 12 12 12 11 10 9 8 7 7 7 7 7 6 4 3 4 5 6 7 9 11 12 14 15 15 15 14 13 13 12 11 10 8 8 7 7 7 7 7 8 8 7 7 7 8 8 9 10 10 11 10 8 6 6 8 9 10 9 8 8 8 9 11 12 12 11 10 10 11 11 11 11 11 10 9 8 9 9 9 10 11 11 10 9 9 8 8 8 9 9 10 9 9 8 7 7 7 8 8 8 8 8 9 9 8 8 7 8 8 8 9 9 9 9 9 9 9 10 10 9 9 8 9 10 10 10 10 11 12 10 7 6 6 6 5 5 5 6 6 7 8 9 9 9 9 8 8 6 6 6 6 6 5 4 1 -0 1 3 4 5 4 3 2 1 3 6 10 12 13 12 12 12 11 11 9 8 8 9 9 nan
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nan 8 8 9 9 8 8 9 9 9 9 8 7 6 5 5 6 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 9 10 11 12 13 14 12 11 9 9 8 8 8 7 7 6 6 6 6 7 8 8 9 11 12 11 9 8 8 8 9 10 10 10 11 11 11 11 10 9 8 8 8 8 9 10 10 11 10 9 8 7 7 7 7 8 10 11 10 9 8 7 7 8 9 9 9 10 9 9 8 8 9 9 9 9 9 9 9 9 8 7 7 8 9 9 9 9 8 9 9 9 10 9 9 9 9 9 10 10 9 8 9 10 10 9 9 9 9 9 8 7 7 8 8 8 8 9 9 10 10 10 9 7 7 6 7 7 7 7 6 5 5 5 6 7 7 6 4 3 2 1 2 6 9 12 13 13 12 11 10 10 10 10 nan
nan 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 9 9 10 10 10 10 10 10 9 9 8 7 7 7 7 7 8 10 12 14 14 14 12 11 10 8 8 8 8 7 6 6 6 6 7 9 10 11 12 12 11 9 8 8 8 9 10 11 12 12 11 10 10 10 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 7 8 10 11 11 10 9 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 9 9 10 10 10 9 8 8 8 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 8 9 9 8 8 7 7 7 6 6 6 5 3 1 1 2 5 8 11 12 12 11 10 10 10 10 nan
nan 8 6 6 6 7 8 8 8 8 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 10 13 15 16 15 14 12 11 9 8 8 8 7 7 7 7 7 8 9 11 13 13 12 10 9 9 9 9 9 9 10 11 10 10 9 9 10 10 9 9 9 8 8 8 8 8 8 7 8 9 9 8 8 8 9 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 8 7 7 8 9 10 10 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 10 11 11 10 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 8 8 8 9 10 10 9 9 8 7 5 5 5 5 5 4 3 2 3 5 7 10 11 11 10 10 10 10 nan
nan 8 7 6 7 7 7 8 8 9 9 9 10 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 14 16 17 17 15 13 11 9 8 8 8 8 8 8 7 7 7 9 10 11 11 10 9 9 9 10 10 9 9 9 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 7 7 7 8 9 10 11 11 11 11 10 10 10 10 11 12 12 12 11 11 11 10 10 10 10 9 9 9 9 8 9 10 11 12 12 12 11 10 10 10 10 11 11 10 9 9 11 12 12 11 10 9 10 11 11 10 9 9 8 8 7 7 8 8 8 8 9 9 10 9 9 8 8 9 9 9 9 9 9 8 9 9 7 5 4 4 4 4 4 4 3 2 3 5 7 9 10 10 10 11 11 nan
nan 9 8 7 7 7 7 8 8 8 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 13 15 17 17 16 14 12 10 9 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 10 11 11 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 8 7 6 7 7 7 7 6 6 7 8 8 10 11 12 12 11 10 10 10 11 12 13 13 12 12 11 11 11 11 10 10 10 10 10 10 10 11 12 13 13 12 11 11 10 10 11 11 11 11 10 9 9 10 11 10 9 9 10 10 10 10 9 9 8 8 7 7 8 9 9 9 9 9 10 9 10 10 10 9 9 9 8 8 7 8 8 9 9 7 6 5 4 3 3 3 2 1 2 3 5 7 9 10 10 11 11 nan
nan 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 8 8 9 9 10 10 9 9 10 10 11 11 11 11 11 11 11 11 12 13 15 16 17 16 16 15 13 11 10 9 9 9 8 7 7 6 6 7 7 8 7 7 8 10 11 10 9 8 8 8 8 8 8 8 7 7 7 7 8 8 7 8 8 8 7 7 7 8 8 8 7 7 7 7 8 9 11 12 13 12 12 11 12 12 13 13 13 12 11 11 11 12 12 11 11 10 10 10 11 11 12 12 12 12 12 11 10 10 10 10 11 12 12 12 11 10 9 9 8 8 8 9 10 9 9 8 8 8 8 7 7 8 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 10 10 9 9 7 6 5 5 4 4 4 4 5 6 8 9 10 12 13 nan
nan 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 11 12 14 17 17 16 16 16 17 16 14 13 11 10 10 9 8 7 6 6 6 7 7 7 6 7 8 9 8 8 7 7 6 7 7 8 9 8 7 6 7 7 8 7 8 8 8 7 7 8 9 9 9 9 9 9 8 9 9 10 12 12 12 12 12 13 13 14 13 12 12 11 11 11 12 12 12 12 11 11 11 12 12 12 11 11 11 11 11 10 10 9 9 11 12 12 13 12 11 10 9 8 8 8 8 9 8 8 7 7 7 7 8 8 9 9 10 10 11 11 12 12 12 12 13 13 14 14 14 13 12 11 11 11 11 11 11 11 11 11 10 10 9 9 8 7 8 9 9 9 10 12 13 nan
nan 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 13 16 18 18 17 17 17 18 18 17 15 14 13 12 11 10 9 8 7 7 7 7 8 8 8 8 8 7 7 7 6 6 7 7 8 8 8 8 7 7 7 8 8 7 7 7 7 7 8 9 9 10 10 10 10 10 9 9 10 10 10 10 10 11 12 13 13 12 11 11 11 11 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 11 11 11 10 10 11 11 12 12 11 10 11 11 10 10 9 8 9 9 8 7 7 7 8 8 9 9 9 10 11 11 12 13 13 13 13 13 14 15 15 14 14 14 14 13 13 13 13 13 14 14 14 13 12 12 11 11 11 11 11 11 10 10 11 12 nan
nan 7 7 7 8 8 8 9 9 10 10 11 11 10 10 10 9 10 10 10 10 9 9 9 10 11 11 12 12 11 11 11 12 12 14 15 17 17 17 17 18 18 18 17 16 15 14 13 13 13 12 11 10 9 8 8 9 9 10 10 10 9 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 7 8 9 9 9 9 9 9 9 9 8 8 9 8 8 8 8 9 11 12 11 10 10 10 10 11 12 12 12 12 13 13 14 13 13 13 13 13 13 13 12 12 12 11 11 11 10 10 11 11 10 11 12 12 11 10 9 9 9 9 9 8 8 8 8 8 8 9 10 10 11 11 12 13 13 13 12 12 12 12 12 12 13 15 15 16 16 16 16 16 16 16 14 13 12 11 11 12 12 12 11 11 10 9 9 nan
nan 8 8 8 8 9 10 10 10 11 11 12 11 11 10 9 9 10 10 10 10 9 9 8 9 10 10 11 12 12 12 12 12 13 14 14 15 15 16 17 17 17 17 16 15 15 14 13 13 14 14 14 13 12 12 11 10 10 10 11 11 11 9 8 8 8 9 9 10 10 9 8 7 7 7 6 6 6 5 5 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 10 11 10 10 10 10 10 11 11 10 10 11 11 12 12 12 12 13 13 13 13 12 12 12 12 12 11 10 10 10 10 9 9 10 10 10 10 9 10 10 10 10 10 9 8 8 7 7 7 7 8 8 9 9 10 11 11 11 11 10 10 9 10 10 11 13 15 16 17 17 17 17 16 16 14 13 12 11 11 11 12 13 12 10 8 7 6 nan
nan 8 8 8 9 10 10 10 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 9 9 10 11 11 12 12 13 13 13 14 14 14 14 14 15 15 15 15 15 14 13 13 13 13 14 14 14 14 14 14 12 11 11 11 11 11 9 8 8 9 10 10 10 10 9 9 9 9 9 8 7 7 6 6 6 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 8 10 11 11 10 9 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 8 8 9 9 9 9 9 9 10 10 9 9 10 10 9 7 7 6 6 6 6 7 8 8 8 9 10 10 10 10 10 10 9 9 9 10 12 13 14 15 15 14 14 13 13 12 11 10 11 13 14 14 13 10 7 5 6 nan
nan 9 9 9 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 8 9 9 9 9 10 10 11 12 12 13 13 13 13 13 13 13 13 13 13 14 14 14 13 12 12 11 11 12 13 14 14 15 15 14 13 12 12 11 11 10 10 10 10 10 10 8 8 8 9 11 11 10 9 9 10 10 9 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 8 7 7 8 10 11 11 10 9 9 9 10 10 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 9 10 10 9 8 8 9 10 10 8 8 7 6 6 6 7 7 7 8 8 9 9 10 10 10 10 10 9 9 9 9 10 11 11 12 12 12 11 11 10 10 10 12 14 16 15 13 10 7 6 6 nan
nan 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 11 12 12 12 12 12 13 13 12 12 12 12 12 13 13 13 12 11 10 10 9 10 11 12 13 13 14 14 14 13 13 13 12 13 13 13 12 11 9 8 8 9 11 13 12 11 10 11 13 13 12 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 10 11 11 10 9 9 9 10 10 11 10 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 9 9 8 8 9 9 9 9 9 11 11 10 9 8 8 9 10 10 9 8 7 7 7 7 7 8 7 8 8 9 9 10 11 11 11 10 10 10 9 9 9 10 10 11 11 11 11 10 10 11 12 13 13 13 12 10 7 6 7 nan
nan 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 10 10 11 11 11 11 11 11 12 12 13 13 13 12 12 12 12 12 12 12 11 11 9 9 8 9 10 10 11 12 12 13 13 14 14 14 14 14 14 13 12 11 10 9 10 11 13 15 13 11 11 13 15 16 16 15 14 13 12 12 11 11 11 10 10 9 9 9 9 9 8 8 9 9 10 10 10 11 11 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 12 12 11 10 9 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 9 10 11 12 13 12 12 12 11 11 10 9 10 10 10 11 11 11 11 11 11 11 10 10 9 9 8 7 7 7 nan
nan 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 11 11 11 11 12 13 13 13 12 12 11 12 12 12 12 11 10 10 9 9 9 9 9 10 10 11 12 13 14 14 14 14 14 13 12 11 10 11 11 11 12 13 13 12 11 11 13 15 17 17 17 16 15 13 13 12 12 11 11 10 10 9 8 8 8 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 10 10 10 11 12 13 13 12 11 11 12 12 11 11 11 11 10 9 8 7 8 8 8 9 9 10 11 12 13 13 13 13 12 12 11 11 10 10 10 10 10 11 11 12 12 12 10 8 7 7 6 7 7 8 8 nan
nan 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 8 8 9 9 10 11 11 11 11 11 12 12 12 12 12 11 11 11 11 12 12 12 11 11 11 10 10 9 9 9 9 10 11 12 13 13 14 14 14 13 12 11 11 11 11 11 11 11 11 10 10 11 13 15 16 17 16 15 14 14 13 13 13 12 11 10 10 9 8 8 8 8 9 10 10 9 9 9 10 10 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 11 11 10 10 11 11 12 13 13 12 11 11 12 12 12 12 11 11 11 9 8 8 7 8 9 10 11 12 12 12 11 12 12 12 12 12 12 11 11 11 10 10 10 10 11 11 12 11 9 7 6 6 6 7 7 8 8 nan
nan 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 8 8 7 7 7 7 7 7 8 8 9 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 10 9 9 9 9 10 11 12 12 13 13 13 13 13 13 12 11 11 11 11 11 10 10 10 11 12 13 14 15 16 15 13 13 12 13 13 13 12 11 10 10 9 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 12 12 11 11 11 11 11 12 13 13 12 11 11 12 13 13 12 12 12 12 11 10 9 9 10 11 12 12 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 8 6 5 4 5 6 7 7 7 nan
nan 7 7 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 9 9 9 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 10 9 8 8 8 9 10 11 11 11 12 11 11 12 13 13 13 12 11 11 11 11 11 11 12 12 12 12 12 13 12 11 11 10 10 10 12 12 11 11 11 10 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 10 9 9 10 11 12 12 12 11 11 11 11 11 10 11 12 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 13 13 13 12 11 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 9 8 7 6 5 4 4 5 6 6 6 nan
nan 6 6 5 5 5 6 6 7 8 8 9 9 8 7 7 7 7 7 6 6 6 6 7 7 6 6 6 7 7 7 8 9 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 10 9 8 8 8 9 9 10 11 11 11 11 11 12 13 13 13 13 12 11 11 11 12 12 13 13 12 12 11 10 9 9 9 8 8 8 10 11 11 12 12 11 10 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 11 12 11 11 10 11 11 10 9 9 11 12 14 14 14 14 14 14 14 14 15 15 16 16 17 17 17 16 14 13 11 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 9 9 8 8 8 7 6 5 5 5 5 4 nan
nan 6 5 5 5 5 5 5 6 7 7 8 8 8 8 8 8 8 7 7 6 6 6 5 6 6 6 6 6 7 7 8 9 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 10 9 8 8 8 8 9 9 10 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 12 11 11 10 9 9 9 9 8 8 8 9 10 11 11 11 11 10 9 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 8 8 9 9 9 9 8 8 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 10 12 13 13 13 13 13 14 14 14 14 14 15 16 16 17 16 15 14 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 7 7 6 5 5 nan
nan 6 6 5 5 5 6 6 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 5 5 6 6 6 6 7 7 8 9 10 10 10 10 9 9 8 9 9 9 9 10 10 10 10 10 9 9 8 8 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 10 10 10 10 9 9 8 9 9 8 8 8 9 9 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 8 8 9 9 9 10 10 9 10 10 10 10 9 9 10 10 10 10 9 9 10 11 12 12 11 11 12 12 12 12 12 12 12 13 13 14 14 13 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 7 7 6 nan
nan 6 6 6 6 6 7 7 7 7 6 6 6 6 6 6 7 7 8 9 8 7 7 6 6 6 6 7 7 7 8 8 9 10 10 11 10 9 8 8 8 8 8 8 9 9 10 10 10 9 9 8 7 7 6 6 7 7 8 8 9 9 9 9 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 7 8 8 8 8 8 8 9 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 10 10 10 10 9 10 10 11 11 11 10 10 10 11 11 11 10 10 10 10 10 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 11 11 11 11 10 9 8 8 nan
nan 6 7 7 7 7 7 6 5 5 5 5 5 6 6 6 6 7 7 8 9 8 8 8 7 7 7 7 8 8 9 9 10 10 11 11 10 10 9 8 8 8 8 8 9 9 10 10 9 9 8 8 7 7 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 9 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 11 11 10 8 6 7 9 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 11 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 nan
nan 6 7 7 8 8 8 7 5 5 4 5 5 6 6 6 6 6 7 8 8 9 9 9 9 8 8 8 9 9 10 10 11 11 11 11 11 10 9 8 8 8 8 9 9 10 10 10 9 9 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 10 10 10 11 10 10 10 11 11 10 10 10 11 11 12 12 11 11 10 9 10 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 11 12 12 11 9 7 6 7 8 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 11 11 10 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 11 11 11 11 11 12 11 11 11 11 10 10 10 9 nan
nan 6 7 7 8 8 7 6 6 5 5 5 6 6 6 6 7 7 7 8 8 9 9 10 10 10 9 9 10 10 10 10 11 11 12 11 11 10 9 9 8 8 9 10 11 11 11 10 10 9 8 8 9 9 9 8 8 7 8 8 9 9 9 10 10 10 11 11 11 11 10 10 11 10 10 10 10 10 11 12 12 13 12 11 9 8 8 7 7 7 7 7 7 8 8 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 7 8 8 9 9 9 9 9 10 11 12 12 12 10 8 7 8 8 8 8 9 10 11 11 11 10 10 10 10 10 9 10 11 11 11 10 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 11 11 11 12 12 12 12 11 11 11 11 10 10 nan
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nan 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 11 11 10 10 9 9 10 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 7 6 6 6 6 6 5 5 5 5 6 7 8 8 8 9 9 10 10 11 12 12 11 9 8 9 10 11 11 12 12 14 15 16 16 14 12 11 11 10 10 10 10 9 8 8 7 8 8 8 9 9 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 8 9 10 10 9 9 8 8 8 8 9 10 9 8 7 7 6 7 8 9 9 8 8 9 9 11 11 nan
nan 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 7 6 5 5 5 5 5 5 5 5 5 6 8 9 9 8 8 8 8 8 7 7 9 11 11 9 7 7 9 10 10 10 11 12 15 17 19 18 15 13 11 10 10 10 10 9 8 8 8 8 9 9 9 9 10 11 11 10 10 9 9 9 9 9 10 10 9 7 7 7 8 9 10 9 9 8 8 8 9 10 10 9 8 8 7 7 8 8 7 7 8 9 10 11 12 12 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 8 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 7 8 8 9 10 10 9 8 6 5 5 5 5 6 6 7 7 8 9 10 12 12 11 10 11 11 10 8 7 8 10 10 9 7 6 7 8 9 9 10 11 13 15 18 18 16 13 10 10 10 10 9 8 8 8 9 10 10 10 9 9 11 12 12 11 10 10 10 11 10 10 11 10 9 7 7 7 8 8 8 8 8 8 8 9 10 10 10 9 9 8 9 9 9 8 7 7 9 10 11 11 12 12 nan
nan 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 8 8 7 7 6 6 7 8 9 10 10 10 9 8 8 7 7 7 8 8 9 10 10 12 14 15 15 14 13 13 13 12 11 10 9 9 9 9 7 6 6 7 8 9 9 9 11 12 14 15 15 13 11 10 10 10 9 8 7 8 10 11 12 11 10 10 11 12 12 11 10 9 10 11 11 11 11 9 8 7 7 7 8 8 7 7 7 8 8 8 9 10 10 11 10 10 11 11 10 9 8 8 8 9 9 11 11 11 nan
nan 11 10 10 10 10 9 9 9 9 9 9 9 10 9 9 9 9 8 9 9 10 11 11 12 12 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 6 7 8 9 10 11 11 10 9 9 9 9 9 9 9 10 10 11 12 13 14 15 14 13 13 12 12 12 11 11 10 10 9 9 7 6 6 7 8 8 8 9 9 10 11 13 14 13 12 11 10 10 9 8 7 8 9 11 12 12 10 10 10 11 12 11 10 9 9 10 11 11 11 9 8 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 11 12 12 12 11 10 9 8 7 7 8 10 11 10 nan
nan 11 11 12 12 11 11 10 10 9 9 9 9 9 9 8 8 8 8 9 9 10 11 11 12 12 12 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 8 8 7 7 7 7 8 9 9 9 10 10 10 9 8 8 8 8 9 10 11 12 12 12 12 13 12 11 10 10 9 9 9 10 10 10 9 9 9 9 9 7 6 6 7 8 8 8 8 8 9 11 13 14 13 12 11 10 9 8 7 8 8 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 6 6 6 6 6 6 6 6 6 6 6 7 8 9 11 13 13 13 11 9 8 7 6 7 9 11 12 11 nan
nan 11 11 12 12 12 12 11 10 10 9 9 9 8 9 9 9 9 9 10 10 10 11 11 11 12 12 11 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 9 9 9 9 10 10 9 9 8 7 7 8 10 12 14 14 13 13 12 12 10 9 7 7 7 8 8 9 10 10 9 9 8 9 9 8 7 6 7 7 7 7 7 7 7 8 11 13 14 13 11 11 10 9 8 8 8 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 6 6 5 5 5 5 5 5 5 5 6 6 7 9 12 13 13 12 10 9 7 6 6 7 9 10 10 10 nan
nan 10 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 8 9 10 10 9 9 9 9 8 8 8 9 10 11 13 14 15 15 14 13 13 12 11 9 7 6 7 8 9 9 10 10 9 8 8 8 9 8 7 6 6 7 7 7 7 7 6 7 8 11 12 12 11 10 10 9 9 8 9 10 10 10 10 11 11 11 10 10 9 9 10 10 10 9 9 8 7 6 6 6 5 5 5 5 5 5 5 6 6 6 7 9 11 12 12 11 10 9 7 5 5 5 4 4 5 7 nan
nan 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 12 12 12 11 11 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 11 10 10 10 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 6 6 8 9 10 9 8 8 7 7 7 9 11 12 13 13 14 14 14 14 14 13 13 13 11 9 7 6 7 8 9 9 9 9 8 8 8 8 9 9 8 7 7 7 7 7 7 6 6 6 7 9 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 9 8 8 9 9 9 9 7 6 6 6 6 6 5 5 5 6 6 6 6 6 6 7 8 10 12 12 11 9 7 5 3 2 1 1 2 6 9 nan
nan 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 12 12 13 12 12 11 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 12 11 11 10 10 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 9 10 10 9 9 9 9 8 7 6 5 6 7 8 9 8 8 8 8 10 11 12 13 13 12 12 12 12 13 13 13 13 12 10 8 6 5 6 8 8 8 8 7 8 9 10 12 12 10 8 7 7 7 7 7 7 7 6 6 7 8 9 9 9 8 8 9 9 9 9 9 10 10 10 11 11 11 10 9 8 8 8 8 8 8 8 7 6 6 7 7 7 6 6 6 6 6 7 7 7 7 7 9 11 12 13 12 8 5 2 2 2 3 5 8 12 14 nan
nan 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 12 12 12 12 12 11 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 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 10 9 9 9 9 9 9 9 9 9 9 8 8 6 4 3 4 5 8 10 10 11 11 12 12 12 12 11 11 10 10 10 11 12 12 12 11 10 8 6 5 5 6 7 8 8 7 7 8 10 13 15 14 11 8 7 7 7 7 7 7 7 7 7 7 7 9 9 9 8 8 9 9 10 10 10 10 10 10 11 11 10 10 9 8 8 8 8 8 8 7 5 5 6 7 8 7 7 7 7 7 7 7 8 8 8 9 10 12 14 14 11 7 4 3 4 6 8 10 14 16 16 nan
nan 10 10 9 10 10 10 10 10 10 10 10 11 11 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 10 10 10 11 11 11 11 11 10 10 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 6 5 4 5 6 9 11 12 12 13 13 13 12 11 10 10 10 9 9 10 11 11 11 10 9 8 7 6 6 7 7 8 8 7 8 9 10 12 12 11 9 8 8 7 7 8 8 8 7 7 7 7 8 9 10 11 10 9 9 9 11 13 13 11 10 10 10 10 10 9 8 8 8 8 8 8 7 6 4 4 6 8 8 8 8 8 8 8 8 9 9 9 10 11 12 14 16 14 9 6 5 7 9 10 11 13 15 15 16 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 11 10 11 11 11 11 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 9 9 9 8 10 11 12 12 12 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 7 8 8 9 10 11 11 10 9 9 12 14 14 12 10 10 10 10 10 9 9 9 9 9 9 9 8 6 3 4 6 8 8 8 8 9 9 9 10 10 10 10 11 13 15 17 16 11 8 6 7 10 11 12 12 13 14 16 17 nan
nan 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 10 11 11 12 12 13 13 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 8 7 6 6 6 6 6 7 7 8 7 7 6 6 6 7 7 7 7 7 8 9 10 10 10 10 10 11 11 11 11 10 10 11 10 10 10 10 9 8 7 7 8 8 8 8 8 8 8 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 9 10 11 12 12 10 9 8 8 8 8 8 8 8 8 9 9 10 11 11 10 10 10 12 13 12 11 9 9 9 9 9 9 10 10 10 10 10 10 9 6 4 4 6 8 9 9 10 10 10 10 11 11 11 11 13 15 16 17 13 9 7 8 10 11 12 12 13 14 16 17 18 nan
nan 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 12 12 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 9 9 8 7 6 6 6 6 6 6 7 7 7 8 7 7 6 7 7 7 7 7 7 8 8 9 10 11 10 11 11 12 12 12 12 11 11 10 10 10 10 10 8 7 7 7 7 8 8 7 7 7 7 8 9 9 9 9 8 8 8 7 7 7 7 8 8 8 9 11 12 13 13 11 10 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 11 11 10 9 9 9 9 10 10 10 10 10 10 9 9 8 7 5 4 5 7 8 10 10 10 11 11 11 11 11 12 12 13 14 15 13 9 7 8 10 12 12 12 13 13 15 17 19 19 nan
nan 10 11 11 10 9 9 9 9 9 10 10 10 10 9 9 9 10 10 11 12 12 12 12 12 12 11 11 10 10 10 9 9 9 10 10 10 11 11 10 10 9 9 9 9 9 8 7 7 6 6 7 7 7 7 7 8 8 9 9 8 8 8 8 9 9 8 8 8 8 8 9 10 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 10 9 8 8 9 9 8 8 7 7 7 8 7 7 7 6 7 7 7 7 7 7 7 7 8 8 9 10 11 12 12 12 11 11 10 9 8 8 8 8 8 8 9 9 9 10 10 10 10 11 10 10 9 9 9 10 10 10 9 8 8 8 7 6 4 4 4 5 6 8 10 10 11 11 11 11 11 12 12 12 13 13 13 12 10 8 9 10 12 12 13 13 13 14 17 19 20 19 nan
nan 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 10 11 11 11 12 12 12 12 12 11 10 10 9 9 9 9 10 10 11 11 11 10 10 9 9 8 8 8 7 6 6 6 7 8 8 8 8 9 10 10 11 11 10 10 10 10 11 11 11 11 10 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 11 12 12 11 10 10 10 10 10 10 9 9 9 10 9 8 7 7 7 7 7 8 8 8 7 7 7 8 8 9 9 10 11 12 13 13 13 11 9 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 10 10 10 9 8 7 6 6 5 4 3 4 6 8 9 10 11 11 11 11 11 12 12 13 14 14 14 13 13 12 11 11 12 13 13 13 13 13 15 17 20 21 20 17 nan
nan 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 10 10 11 11 11 12 12 12 11 10 9 9 9 10 10 10 11 11 11 10 10 9 9 9 9 9 8 6 6 6 7 8 9 9 9 9 10 10 11 12 12 12 12 12 12 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 9 9 8 9 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 11 13 14 14 13 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 8 7 6 5 5 5 5 6 8 9 10 11 11 11 11 11 12 12 13 15 17 18 17 15 15 14 14 13 13 13 13 13 13 14 15 18 20 20 19 16 13 nan
nan 9 9 10 10 10 10 10 11 11 10 9 9 9 8 8 8 8 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 9 8 8 7 6 6 6 7 9 10 10 10 10 10 11 12 12 12 13 13 13 13 13 13 14 14 14 14 13 12 11 10 10 10 10 10 10 10 9 8 8 8 8 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 11 11 10 10 10 10 10 10 9 9 9 9 9 8 8 9 9 11 12 12 12 10 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 7 6 5 5 6 6 7 9 10 11 11 12 12 12 12 13 14 15 17 19 20 20 17 14 13 12 12 12 12 13 13 13 13 15 18 19 19 17 14 12 10 nan
nan 9 9 9 9 9 10 10 10 10 9 9 8 8 8 7 8 8 9 9 10 10 10 10 10 10 10 10 11 12 11 10 10 11 11 11 10 10 9 9 9 8 7 7 6 7 7 8 8 8 9 10 10 11 10 11 11 12 12 12 12 12 12 11 11 12 12 13 14 14 14 13 12 11 10 10 10 10 10 10 10 9 8 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 7 6 6 6 7 8 9 10 12 13 13 12 12 13 14 15 16 16 17 18 18 17 15 12 9 8 8 9 10 12 12 13 13 14 17 19 19 16 13 11 11 11 nan
nan 9 9 8 9 9 10 10 10 9 9 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 11 13 13 12 11 10 11 11 10 10 9 9 9 8 6 5 6 7 8 10 10 9 9 9 10 10 11 11 11 11 11 12 11 11 11 10 10 10 10 10 11 12 13 13 14 13 12 11 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 9 9 10 9 9 9 8 8 8 8 9 9 10 9 8 8 8 9 9 11 12 13 14 14 12 11 11 13 14 14 13 13 13 12 10 9 9 8 8 7 8 10 13 14 14 14 15 17 19 19 17 14 12 11 11 11 nan
nan 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 11 10 10 9 8 8 9 12 14 13 12 11 10 10 10 10 10 9 8 7 6 5 5 6 8 10 11 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 11 12 14 14 13 12 11 11 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 7 7 8 9 10 10 10 9 9 9 9 9 10 11 11 10 10 10 10 10 11 12 13 13 12 10 8 7 8 10 11 10 9 9 9 8 7 8 11 13 14 13 13 14 15 15 16 16 17 18 17 16 13 12 11 11 11 11 nan
nan 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 11 10 10 9 9 9 10 11 12 12 12 11 10 10 10 10 10 9 7 5 4 5 6 8 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 11 13 14 13 12 11 11 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 9 9 10 10 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 9 9 8 7 7 7 9 11 12 12 11 11 10 10 11 14 16 18 18 16 15 14 14 14 15 15 15 14 13 12 11 11 11 11 11 10 nan
nan 11 11 11 10 10 9 9 9 9 8 8 8 9 9 9 10 10 10 11 11 11 10 10 9 9 10 10 11 12 12 11 11 10 10 10 10 7 4 3 4 6 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 8 9 11 13 12 12 11 10 11 11 10 11 11 11 11 11 10 10 10 9 9 9 10 10 10 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 10 10 9 9 8 9 9 8 8 7 7 8 9 10 10 10 10 9 9 9 9 9 9 9 8 9 9 9 9 9 9 10 11 11 10 8 9 9 9 8 9 10 11 12 14 16 16 16 15 14 13 14 15 16 16 16 14 13 12 12 11 12 12 11 11 11 11 11 11 11 11 11 10 7 nan
nan 10 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 10 10 11 11 12 11 11 10 10 10 9 6 2 2 4 6 8 8 9 9 9 10 10 11 10 10 10 10 10 9 9 9 9 8 9 9 10 10 8 8 8 7 7 7 8 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 9 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 9 9 8 8 9 9 9 8 7 8 8 8 9 9 10 10 10 10 9 8 8 8 8 8 8 9 9 9 8 9 10 11 11 9 8 9 10 11 11 12 13 13 14 15 16 16 15 14 13 13 13 13 13 12 11 10 10 10 11 10 10 10 10 10 10 11 11 11 11 11 10 10 8 nan
nan 10 10 10 10 10 10 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 12 11 10 10 10 10 9 5 2 2 3 5 8 8 9 9 10 11 11 11 11 10 10 10 10 10 9 9 8 8 8 9 10 10 10 9 9 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 9 7 7 6 6 6 7 8 9 9 8 8 7 8 8 9 9 10 10 9 8 6 7 8 10 10 10 9 10 10 11 11 11 11 11 12 12 13 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 10 11 11 11 11 10 10 10 10 nan
nan 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 9 10 10 10 10 10 10 11 11 11 10 10 10 10 9 6 3 2 2 6 8 9 9 10 10 11 11 11 11 10 10 10 10 10 10 9 9 8 8 9 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 11 12 12 12 11 10 10 10 11 11 11 11 11 11 11 10 10 11 10 11 11 11 11 11 11 11 11 11 10 10 10 10 11 10 8 7 6 5 5 6 6 7 7 7 7 7 7 8 8 8 9 10 10 9 7 4 5 7 9 11 11 10 10 9 9 9 9 10 11 11 11 11 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 9 6 3 3 4 7 9 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 10 9 8 8 8 8 8 8 11 13 15 15 13 10 9 9 9 9 11 13 14 14 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 11 11 10 10 10 10 9 8 7 7 6 7 7 7 7 7 7 7 7 7 7 7 6 7 8 8 7 4 3 5 7 10 12 12 11 9 8 8 9 10 11 11 11 11 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 nan
nan 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 10 9 7 4 3 5 8 10 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 10 9 9 8 8 8 7 7 7 9 13 16 18 19 16 13 11 10 9 8 9 11 12 12 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 5 4 5 7 9 12 13 12 10 9 8 9 10 10 11 11 11 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 nan
nan 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 8 8 9 9 10 10 10 9 9 9 9 8 8 9 10 10 8 4 4 7 10 11 11 11 11 11 11 10 10 9 9 10 9 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 11 14 16 17 16 14 12 11 9 8 8 9 10 10 11 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 8 9 10 10 10 9 7 6 6 6 7 7 8 8 9 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 7 7 6 6 6 7 10 12 13 13 12 11 10 9 9 10 10 11 11 11 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 nan
nan 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 9 9 9 9 8 8 8 8 9 10 10 8 5 5 7 10 12 12 11 11 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 9 9 9 9 8 8 8 8 9 9 9 11 12 13 13 13 12 10 9 8 8 9 9 9 9 9 9 9 9 10 9 9 9 8 8 7 6 5 5 5 7 9 11 12 11 9 7 6 7 7 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 8 7 7 8 9 11 13 13 12 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 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
429 401 376 341 328 317 334 374 430 497 563 608 625 636 647 635 605 593 608 611 579 537 504 488 486 490 503 514 513 512 522 539 537 520 485 457 454 460 450 427 437 444 460 445 413 382 358 340 346 336 312 289 282 289 287 271 244 219 198 179 163 153 143 124 111 103 98 95 92 87 83 75 65 55 43 34 33 35 36 39 44 48 46 42 44 41 42 46 50 49 45 38 32 29 20 13 11 10 8 10 11 13 14 14 14 13 13 14 8 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 0 0 0 0 0 0 0 0
378 358 349 335 322 319 330 358 401 458 521 575 588 595 601 590 572 572 594 603 581 542 507 485 473 461 463 468 480 491 500 509 511 502 478 453 453 454 430 392 404 420 450 455 440 425 414 395 391 385 359 330 315 319 330 323 295 265 242 222 204 190 173 149 135 125 116 109 104 97 93 88 79 68 56 47 44 43 37 37 39 39 38 38 40 39 40 45 48 47 45 42 39 35 29 21 16 15 16 16 17 15 14 13 11 8 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
247 271 310 333 331 328 332 350 380 421 473 532 553 568 571 558 543 549 578 601 593 567 534 501 476 463 443 435 448 464 471 471 466 460 452 442 442 436 409 368 350 372 412 437 451 461 466 465 448 437 407 372 347 344 352 352 338 317 296 274 251 224 195 175 162 151 140 130 123 113 110 104 95 83 71 62 57 53 44 39 36 32 31 32 34 35 36 41 45 46 44 45 46 44 39 32 26 23 21 18 17 16 13 10 5 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
85 155 250 318 343 343 342 351 369 395 433 486 520 544 560 547 525 528 559 590 591 574 543 508 484 474 439 416 417 427 432 426 412 402 405 415 425 426 408 370 332 335 373 406 435 462 482 487 478 471 448 414 381 360 355 359 361 352 334 313 289 257 227 207 191 176 161 148 140 133 132 125 114 100 86 75 68 62 55 44 36 31 29 26 26 31 33 36 40 43 42 44 47 48 49 43 34 31 28 21 19 19 18 16 10 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
11 73 177 277 338 352 352 357 367 382 405 440 475 501 509 501 493 505 544 590 606 593 563 532 509 486 447 414 401 403 408 401 381 363 367 384 401 411 407 380 335 311 343 379 406 430 451 451 459 475 472 445 408 377 360 361 363 355 336 313 290 267 245 227 206 187 168 152 144 141 141 138 128 112 96 83 78 73 66 55 44 34 26 19 23 31 33 34 36 38 38 39 39 44 45 39 33 31 27 25 23 21 20 19 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 35 117 228 323 359 360 362 364 370 381 396 423 452 475 483 485 500 537 583 599 582 560 542 523 496 457 419 396 388 392 392 374 348 343 354 366 376 379 363 323 296 322 358 381 394 408 419 439 465 476 464 437 409 380 361 346 326 303 278 252 229 221 211 201 190 175 157 143 134 133 134 132 125 110 89 83 79 75 66 52 35 20 18 23 27 25 27 30 30 28 27 23 30 30 27 27 25 23 24 24 21 19 18 11 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 16 74 181 305 369 373 371 368 365 366 371 381 398 422 448 467 478 495 530 547 533 521 517 511 493 461 420 387 367 364 366 359 342 333 334 338 343 344 334 312 287 308 338 356 365 375 390 412 439 459 461 439 402 362 331 302 277 255 233 208 180 169 173 181 184 176 159 142 131 130 129 125 119 106 88 79 77 75 69 57 39 23 21 22 24 24 23 22 23 23 23 20 18 17 18 19 20 19 19 18 17 17 18 15 6 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 6 44 138 272 358 374 376 370 362 357 355 357 368 393 417 434 444 452 465 476 462 448 448 460 470 458 421 380 349 337 337 339 336 331 327 320 318 316 310 302 286 303 325 340 347 354 364 384 400 415 425 409 362 312 279 255 227 198 173 153 137 134 139 153 165 166 157 147 140 140 133 119 103 89 77 73 76 71 68 62 51 38 29 27 28 30 31 32 34 29 26 22 18 15 14 14 15 14 14 13 13 13 14 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 24 101 230 345 382 384 375 362 351 343 339 341 362 378 377 374 382 388 405 408 408 419 439 453 451 427 385 349 330 326 330 333 330 324 309 295 285 282 282 285 303 325 341 349 353 358 371 376 373 372 353 311 265 231 203 177 152 131 115 108 109 117 136 154 162 161 163 153 149 137 119 102 89 79 74 73 70 66 60 50 39 32 32 33 33 35 38 37 36 33 30 26 23 20 16 12 11 10 7 7 8 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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