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 5 5 5 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 8 9 9 10 10 10 11 11 11 11 11 11 10 9 8 7 8 8 9 8 7 6 5 5 5 6 6 5 5 5 4 4 4 4 4 5 6 7 8 7 6 7 7 8 8 8 9 9 8 7 8 8 8 8 9 9 9 10 11 11 10 9 8 7 7 9 10 10 9 7 8 9 9 7 5 5 6 5 2 3 6 8 9 9 7 6 6 7 6 4 5 6 7 7 7 9 10 10 10 8 7 7 7 7 6 5 5 5 5 7 9 10 10 8 5 5 6 6 6 6 7 10 11 11 10 8 7 7 6 6 6 6 6 7 7 8 9 9 10 10 10 9 8 7 6 5 5 7 8 8 8 8 8 8 7 7 8 8 8 8 8 7 8 8 9 nan
nan 4 4 4 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 7 8 9 9 10 10 11 11 11 11 10 10 9 8 8 9 9 9 8 8 6 5 5 5 6 6 6 6 5 4 4 5 5 4 4 4 6 6 6 6 6 7 8 9 9 9 9 8 7 7 7 7 7 9 10 11 11 12 12 12 10 9 7 7 8 10 10 8 7 6 7 7 5 4 4 6 6 5 5 5 6 6 6 6 6 7 7 5 4 4 5 7 7 7 8 9 10 10 10 9 9 9 7 6 5 4 4 4 6 9 11 11 9 8 8 8 8 7 6 7 9 10 10 9 8 7 7 6 6 6 6 6 7 7 7 7 8 9 9 10 10 10 9 7 5 5 6 8 9 8 8 8 8 7 7 8 9 9 8 7 6 6 7 9 nan
nan 4 4 3 3 3 3 4 4 5 5 5 5 6 5 5 5 5 4 4 5 6 7 8 8 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 9 8 7 7 7 6 6 7 8 8 7 6 6 6 7 6 5 5 5 6 6 6 6 7 9 10 10 10 10 9 8 7 7 7 7 8 11 12 12 12 13 13 12 10 8 8 9 9 10 9 8 7 7 7 5 4 4 5 5 6 6 6 5 4 4 5 7 8 7 6 4 2 4 6 8 9 8 8 9 9 9 10 10 9 8 7 6 5 4 3 5 8 10 11 10 9 9 9 9 8 7 8 9 9 8 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 8 9 11 12 11 9 7 6 6 8 9 8 8 8 8 7 7 8 10 10 8 7 5 6 7 8 nan
nan 4 4 4 3 3 3 4 5 5 6 6 6 6 6 5 5 5 4 4 5 5 6 7 8 9 9 10 10 10 10 10 9 9 10 11 11 10 10 10 9 7 7 8 9 8 6 6 8 9 8 8 7 8 9 8 7 7 7 7 7 7 6 6 8 10 11 11 11 10 9 8 7 7 6 7 10 11 11 11 12 13 13 11 10 9 9 10 10 10 9 8 8 8 7 7 6 5 5 5 6 5 4 3 4 5 7 8 8 7 5 2 2 5 8 9 9 9 8 8 8 9 10 9 8 8 8 7 5 3 4 6 8 9 9 9 9 10 9 8 8 8 9 8 6 5 6 7 8 7 7 7 6 7 8 8 7 6 6 6 7 9 11 12 12 11 9 8 7 7 8 8 9 9 9 8 7 9 10 10 9 7 5 5 7 8 nan
nan 5 5 4 4 4 4 5 5 6 7 7 7 7 6 6 5 5 5 5 5 6 7 7 8 9 9 10 10 10 10 10 8 8 10 12 12 11 11 11 10 7 6 9 10 9 6 6 8 9 9 8 7 8 10 10 10 9 9 9 10 9 8 6 6 8 9 10 10 10 9 9 8 8 7 7 8 9 9 9 10 11 12 12 11 11 11 10 10 10 10 9 9 9 10 9 8 8 7 6 6 5 4 3 4 5 6 7 8 9 8 4 2 5 7 9 10 10 8 8 8 8 8 8 8 8 8 8 7 4 3 4 5 7 8 8 9 9 9 8 8 9 9 7 5 5 5 7 8 8 8 7 7 7 7 7 7 6 6 6 7 9 11 12 12 12 11 10 8 7 7 8 8 9 9 9 8 9 10 10 10 8 6 5 7 8 nan
nan 6 6 6 5 5 5 6 6 7 7 8 8 7 7 7 6 6 6 6 7 7 7 8 8 9 9 10 10 10 10 9 8 8 9 11 12 12 11 11 10 8 7 8 10 9 7 6 8 9 9 8 7 7 10 11 11 11 11 11 11 11 10 7 5 5 6 7 8 9 9 10 10 10 9 9 9 9 9 9 10 11 12 12 12 12 11 11 10 10 9 9 9 9 9 10 10 10 9 8 7 6 5 3 3 4 5 6 8 10 10 7 4 5 6 8 9 10 10 9 9 8 8 8 8 7 8 8 7 5 3 3 3 5 7 8 8 8 8 8 8 10 10 8 6 5 5 7 8 8 8 7 7 7 7 7 7 6 6 7 8 10 12 12 12 12 12 12 10 8 7 7 7 8 8 9 10 10 9 9 10 9 7 7 7 9 nan
nan 8 7 7 6 6 7 7 7 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 9 10 11 12 12 12 11 10 8 8 9 9 8 8 8 9 10 9 7 7 10 11 12 11 11 11 11 11 11 8 6 6 6 7 8 9 10 11 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 11 11 10 9 9 8 8 7 8 10 11 10 9 8 8 6 4 3 4 5 6 8 10 10 9 6 4 5 7 8 10 11 11 10 9 9 8 8 8 7 7 6 5 4 4 4 3 4 6 8 8 7 7 8 9 10 8 7 6 5 6 7 7 7 6 7 7 7 7 7 7 7 7 8 11 13 14 13 13 13 13 12 10 9 8 7 6 7 8 10 11 10 9 9 9 8 7 8 8 nan
nan 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 10 11 12 13 13 13 12 10 9 8 8 9 9 9 9 10 10 9 9 10 12 12 12 12 11 9 10 12 12 10 9 9 10 12 12 12 12 12 12 13 13 14 15 14 14 14 14 14 14 14 13 13 12 12 11 10 9 9 8 7 7 9 11 11 10 9 8 7 5 4 5 7 7 8 9 9 8 6 4 4 6 8 9 10 11 10 10 9 9 8 9 9 7 6 5 6 7 5 3 2 5 7 8 8 7 8 8 9 9 8 6 5 5 6 6 6 5 6 7 7 7 7 7 7 6 8 10 12 13 13 13 13 13 13 12 11 9 7 6 6 7 9 10 11 9 8 7 6 7 7 8 nan
nan 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 10 10 10 10 11 12 13 13 14 14 13 12 11 10 10 10 11 10 9 9 10 10 10 11 11 11 11 12 11 9 10 13 14 13 12 11 12 13 14 13 12 12 11 11 12 13 14 14 14 14 14 14 15 15 14 13 13 12 11 10 10 10 10 9 8 9 11 12 12 11 10 8 6 6 7 8 9 9 9 9 9 6 4 3 5 7 8 9 10 11 11 10 8 8 9 9 8 7 6 7 9 7 3 1 3 6 8 9 8 8 8 9 11 10 7 5 5 5 6 6 5 5 6 5 5 6 6 7 7 8 9 10 10 10 11 12 12 12 12 12 11 9 7 6 7 8 10 11 10 7 5 5 6 7 8 nan
nan 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 10 11 11 12 12 12 12 12 13 13 12 12 12 12 12 12 12 13 13 14 14 13 13 13 12 12 12 12 11 11 10 9 8 8 9 10 9 8 9 10 10 9 8 10 12 11 10 10 10 10 11 11 11 10 9 9 9 10 12 12 12 12 11 12 13 14 14 13 12 12 12 11 11 11 11 10 10 9 11 12 13 12 11 10 8 7 8 8 8 9 9 8 8 7 5 4 5 6 7 8 10 12 12 10 8 8 8 9 9 8 7 8 10 9 4 2 2 5 8 9 8 7 8 9 11 11 9 6 6 6 6 5 4 4 5 4 4 4 5 7 8 10 10 9 8 8 9 10 10 11 11 11 11 11 9 7 7 8 10 11 9 7 5 5 6 7 7 nan
nan 10 11 11 12 12 13 13 13 13 13 12 12 11 11 11 10 10 10 10 11 12 13 13 13 14 14 15 15 15 15 15 15 15 15 15 15 14 14 13 12 12 12 12 12 12 13 12 12 10 9 7 7 7 8 7 6 6 6 6 6 5 5 6 6 6 6 7 7 8 8 8 8 8 6 6 8 9 10 10 10 9 10 12 13 13 12 11 10 10 10 10 10 10 10 10 10 10 12 13 12 11 10 9 9 8 8 7 7 8 7 7 7 7 7 7 7 8 9 11 13 13 12 10 8 7 7 8 8 8 9 11 11 8 5 4 5 7 8 7 7 7 8 10 11 10 9 8 8 7 5 4 4 4 3 3 3 4 5 8 10 11 11 9 8 8 8 8 9 10 10 11 11 10 8 8 8 10 10 9 8 7 7 7 6 6 nan
nan 10 11 11 12 12 13 13 13 12 12 11 10 9 9 9 9 10 11 12 13 13 13 12 12 12 13 14 15 16 17 16 16 16 16 16 16 15 14 13 12 11 11 11 11 11 12 13 12 10 9 7 7 7 8 7 6 4 3 3 3 3 3 2 2 3 4 5 6 7 8 8 8 7 6 5 5 7 8 8 9 9 10 11 12 13 12 11 9 9 10 9 9 9 10 11 11 11 11 11 11 10 9 9 10 9 9 8 8 8 7 6 7 8 9 9 8 8 9 10 12 12 12 12 10 8 7 7 7 7 8 10 12 11 8 7 6 6 7 7 6 6 7 9 10 10 10 10 10 9 7 5 4 4 3 3 2 3 4 7 10 12 12 10 9 8 7 7 8 8 9 10 11 11 10 9 9 9 10 9 9 9 9 8 6 5 nan
nan 10 10 11 11 11 12 12 12 11 11 10 9 9 9 9 10 12 13 14 13 13 11 10 9 9 10 12 14 15 16 15 14 13 14 15 15 14 13 12 11 11 11 10 10 10 11 12 12 11 9 8 8 8 9 9 7 5 4 3 3 3 3 2 1 2 3 4 6 7 8 9 10 10 9 8 8 8 9 9 9 9 10 11 13 14 14 13 12 11 11 10 9 8 9 11 12 11 10 10 9 9 9 9 10 10 10 10 9 8 7 6 6 7 8 9 10 9 9 10 10 10 11 13 12 9 7 7 7 8 8 9 10 10 10 9 7 6 6 7 7 6 6 7 8 9 10 11 12 11 9 7 5 5 4 3 2 3 4 7 10 12 12 10 8 7 6 6 7 8 8 9 11 11 11 11 11 10 10 10 10 10 11 9 8 7 nan
nan 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 13 14 14 14 13 11 9 8 8 9 9 10 11 12 14 13 11 10 10 11 12 12 11 11 10 10 10 10 10 10 11 12 12 11 9 9 9 9 9 9 9 8 7 6 6 6 6 5 4 3 3 4 4 5 7 9 10 11 11 12 13 13 12 12 11 11 10 11 12 14 15 15 14 13 13 12 10 8 8 9 10 10 10 9 8 8 8 9 10 11 10 10 9 8 8 7 5 5 6 9 11 11 11 10 9 8 9 12 13 11 9 8 8 8 8 7 7 8 9 10 8 5 6 8 8 6 5 6 7 8 9 10 11 12 11 9 8 7 6 5 4 5 7 10 12 13 11 9 8 7 6 6 6 7 8 9 11 12 12 12 12 11 11 10 10 11 11 11 10 9 nan
nan 12 12 12 11 12 11 12 12 13 13 13 14 14 14 13 14 14 13 12 10 8 7 7 8 9 9 8 8 9 11 10 9 8 8 9 10 11 11 11 10 10 10 10 10 11 12 13 13 11 9 9 9 10 10 10 9 9 9 9 10 10 10 9 8 6 5 4 4 5 6 8 9 10 10 11 13 14 14 14 13 12 11 11 12 13 15 15 15 14 14 13 12 10 9 9 10 11 11 10 9 9 9 9 10 11 10 9 8 8 8 8 7 6 6 8 11 12 13 11 9 6 7 10 11 11 10 9 9 10 9 7 6 7 9 11 8 5 5 7 8 7 6 6 6 7 8 9 11 12 12 11 10 9 8 7 7 8 10 12 13 13 11 9 9 8 7 6 6 6 7 9 11 12 12 12 12 11 11 10 10 11 11 11 11 11 nan
nan 14 14 14 15 15 15 15 15 15 16 16 16 16 15 14 13 12 11 9 7 6 6 7 8 8 8 7 7 8 9 8 8 7 8 9 10 11 12 11 11 10 10 10 10 10 11 13 13 12 9 9 9 11 12 12 10 8 8 9 11 12 13 12 11 9 8 7 7 7 8 9 10 11 10 9 9 10 12 12 12 10 10 10 10 11 12 13 13 13 13 14 14 14 13 14 14 14 14 13 12 11 11 11 11 12 11 10 8 8 8 8 8 7 7 8 10 12 13 12 9 7 7 8 9 10 10 10 10 10 9 8 6 6 9 11 10 7 5 6 7 7 7 6 6 6 7 8 9 11 12 12 12 12 11 9 8 8 10 11 12 11 10 9 9 9 9 8 7 5 4 6 8 10 12 12 11 11 10 10 10 10 10 10 10 11 nan
nan 18 18 18 18 18 18 18 18 18 18 17 17 16 15 13 12 10 9 7 5 5 6 7 8 8 8 8 8 9 9 9 9 9 10 11 13 13 13 12 11 11 10 10 10 9 10 12 13 12 10 9 9 10 11 13 11 9 7 8 9 11 12 13 12 11 10 9 10 10 11 12 13 13 12 10 9 9 9 9 9 8 8 8 9 9 10 10 10 11 13 15 15 16 17 18 18 18 17 16 15 14 13 13 13 13 13 12 11 9 9 8 7 7 7 8 10 12 13 12 10 8 8 8 9 9 9 9 9 9 9 8 6 6 8 10 10 9 7 6 6 7 8 7 7 7 7 7 9 10 11 12 13 13 12 10 8 7 8 9 9 9 9 10 10 11 11 10 8 5 3 2 4 6 9 10 10 10 10 9 9 8 7 7 7 8 nan
nan 20 20 21 21 21 20 20 19 18 18 17 16 15 14 12 11 10 8 6 6 6 7 9 9 10 10 10 10 11 11 11 11 12 13 14 15 15 14 13 11 11 10 10 10 9 9 10 12 12 12 11 9 9 9 10 10 9 8 7 7 8 9 10 12 12 12 12 13 14 15 15 14 13 11 10 10 10 9 8 7 6 7 8 8 8 8 8 8 9 11 12 14 15 16 17 18 18 18 17 16 15 14 14 14 14 14 13 13 12 11 9 8 7 7 8 10 11 12 12 10 9 9 9 9 9 9 8 8 8 8 8 6 6 6 7 9 9 9 7 7 7 8 8 8 8 8 8 10 11 12 13 14 14 13 12 9 7 6 7 8 9 11 11 12 12 13 13 11 8 5 2 1 2 4 7 9 10 10 9 7 5 4 3 4 5 nan
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nan 19 19 19 18 18 17 17 16 15 14 14 13 12 11 11 10 9 9 8 8 8 9 10 10 10 11 11 11 11 11 12 12 12 12 13 13 13 11 10 9 9 10 11 11 11 11 11 11 12 13 13 12 12 10 9 7 5 5 5 4 3 2 2 3 6 9 11 13 13 13 12 11 9 7 7 7 8 8 8 7 6 6 7 7 7 7 8 8 8 8 8 8 8 9 10 11 13 14 14 15 15 16 16 16 17 17 17 16 16 15 14 12 11 10 10 11 11 12 12 12 11 10 10 10 9 9 9 10 10 10 10 9 8 7 6 6 9 10 11 10 10 9 8 8 9 11 12 13 14 15 16 15 14 12 11 10 9 8 8 9 10 11 11 11 11 13 15 17 17 15 12 7 5 5 8 10 11 11 10 7 4 2 2 3 6 nan
nan 16 16 16 15 15 15 14 14 13 12 12 11 11 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 9 8 8 8 10 11 12 13 13 13 13 13 13 13 13 13 12 11 9 8 7 6 6 6 6 5 5 5 5 6 6 7 7 7 7 7 7 7 8 8 9 9 8 7 7 7 7 8 8 8 9 9 9 8 8 7 7 7 8 9 11 12 12 13 14 15 16 16 16 16 16 17 17 16 15 14 13 13 13 13 13 14 14 14 13 13 12 11 10 11 12 12 12 12 12 11 9 7 6 8 9 11 11 11 10 9 9 10 12 13 14 15 16 17 15 14 12 11 10 10 10 10 10 10 11 11 11 12 14 16 17 17 16 13 10 7 7 8 10 11 11 10 9 7 6 5 5 6 nan
nan 14 13 13 13 12 12 12 12 11 11 10 10 9 9 9 9 10 11 12 12 12 12 11 10 10 9 9 9 10 10 10 10 10 10 10 9 9 8 7 7 8 9 11 12 13 13 13 14 14 14 14 14 14 13 12 11 10 10 9 9 10 10 10 9 7 5 2 1 1 2 3 4 5 7 8 10 10 10 10 9 8 7 8 8 8 8 8 8 8 8 9 8 8 7 6 6 8 9 9 10 10 11 12 13 13 13 14 14 15 16 17 17 16 16 15 15 15 15 15 15 16 16 16 15 15 14 15 15 15 15 15 15 14 13 11 9 9 11 12 14 14 13 12 12 12 12 13 14 15 15 15 14 13 12 12 11 11 11 11 11 11 12 11 12 13 14 15 15 15 14 13 11 8 6 6 7 10 11 11 10 9 9 7 6 6 nan
nan 11 11 11 10 10 10 10 10 9 9 8 8 7 7 8 8 9 11 13 14 14 14 13 12 10 10 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 10 11 11 12 12 13 13 13 14 15 15 15 14 13 12 11 11 11 12 12 13 13 12 10 9 6 4 3 3 4 5 7 9 10 11 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 8 8 9 9 9 9 10 10 11 11 11 12 13 14 15 15 15 16 16 16 15 15 16 17 17 18 17 17 18 18 17 17 17 17 17 17 17 16 14 13 14 16 16 16 15 14 13 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 13 12 12 12 13 13 14 14 13 13 13 13 11 8 5 4 5 8 9 10 10 10 9 8 6 6 nan
nan 9 9 9 9 8 8 8 8 7 7 7 6 6 6 7 7 8 10 12 13 14 14 13 12 12 11 10 9 9 9 10 10 10 10 10 9 8 8 8 8 9 9 10 11 11 11 12 12 12 13 14 15 15 16 15 14 13 13 13 14 14 15 15 16 16 16 15 13 13 12 13 13 12 12 12 12 11 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 10 11 11 12 13 13 14 14 14 14 15 16 16 17 16 16 17 18 17 16 16 15 16 17 18 18 17 16 16 17 17 16 15 13 12 11 11 11 10 10 10 11 12 12 12 12 12 12 13 13 13 13 13 13 14 14 14 13 13 13 13 13 11 8 5 3 4 6 8 9 9 8 8 7 7 6 nan
nan 8 8 8 8 7 7 7 7 7 6 6 6 6 6 7 7 8 9 9 10 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 9 8 8 7 7 8 8 9 9 10 11 11 12 11 11 12 13 15 16 16 16 16 16 16 16 16 16 16 18 19 20 20 20 20 20 19 18 16 14 12 11 9 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 9 10 10 10 11 11 11 12 13 14 13 13 12 13 13 14 13 13 12 13 14 15 15 15 14 15 15 14 13 12 11 10 10 10 10 9 9 9 10 11 11 11 11 12 12 12 13 12 12 12 12 13 13 13 13 13 12 12 12 10 8 6 4 4 6 7 8 8 7 7 6 6 6 nan
nan 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 11 12 12 11 11 10 10 10 10 10 10 9 8 8 7 7 7 7 7 8 9 10 11 11 10 10 10 11 13 14 14 14 15 16 16 17 17 16 15 16 17 19 20 20 19 18 17 15 14 12 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 6 7 7 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 11 11 11 11 11 11 11 11 11 11 12 11 11 10 10 10 9 10 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 11 10 9 7 6 6 7 8 8 8 8 7 6 6 6 nan
nan 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 11 11 11 10 9 9 9 9 9 9 8 8 7 7 6 7 7 8 9 9 10 10 10 9 9 9 10 10 11 11 12 13 14 15 15 15 14 13 13 14 15 15 14 12 11 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 9 9 10 10 9 8 8 8 9 9 10 11 11 11 11 10 10 10 10 10 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 9 10 10 11 11 12 12 12 11 11 9 8 7 7 7 8 8 9 8 8 7 7 7 nan
nan 8 7 7 7 7 7 7 7 7 6 6 7 7 7 6 6 6 6 6 6 7 7 7 8 8 9 10 10 10 10 9 9 9 9 9 9 9 8 7 7 7 7 8 9 9 10 10 9 9 8 7 7 7 8 8 9 10 11 12 13 14 13 12 11 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 10 10 10 9 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 7 7 8 9 10 10 11 11 12 11 11 10 10 11 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 8 8 7 8 8 9 9 9 8 7 7 7 nan
nan 7 7 7 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 7 7 7 7 8 8 9 9 10 10 9 9 9 9 9 9 9 8 7 7 7 8 9 9 10 9 9 9 8 8 7 7 7 7 7 8 9 10 11 12 12 12 11 9 8 7 7 8 9 9 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 9 10 11 12 13 12 10 9 9 9 9 9 9 9 9 10 10 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 7 7 9 10 11 10 10 10 11 11 10 10 10 10 10 9 9 8 9 9 9 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 10 10 9 8 8 8 9 9 9 8 7 7 7 nan
nan 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 8 8 9 9 9 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 8 8 8 9 9 10 11 11 10 9 8 7 6 7 8 9 9 9 8 7 8 9 10 11 11 11 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 11 12 13 12 10 9 9 9 9 9 9 9 9 10 10 11 10 10 9 9 9 8 9 9 9 9 10 10 10 10 10 10 10 11 10 10 9 9 8 9 11 12 11 9 9 9 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 8 9 9 9 10 11 11 12 12 11 10 9 8 8 8 8 8 8 8 7 8 nan
nan 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 9 8 8 8 8 9 9 8 7 7 7 8 9 10 10 11 11 11 10 10 10 10 10 9 9 9 8 8 8 8 8 9 10 11 11 11 10 9 9 9 9 9 9 9 9 10 10 11 11 10 10 9 9 9 8 8 9 9 9 10 10 10 10 10 10 11 11 10 10 10 11 12 13 12 11 10 10 11 12 11 11 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 12 12 13 12 11 10 9 8 7 7 8 8 8 8 8 nan
nan 6 6 6 7 6 6 7 7 7 7 8 8 7 7 7 7 7 7 7 7 6 6 7 6 7 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 13 13 13 12 11 11 11 12 12 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 12 12 12 13 13 12 11 9 8 8 7 7 7 8 8 8 nan
nan 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 8 9 9 8 8 8 8 9 9 9 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 11 12 12 11 10 9 9 9 9 10 10 10 9 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 12 13 12 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 8 8 7 8 8 8 9 9 9 9 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 10 9 8 7 7 7 7 7 nan
nan 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 7 7 7 7 6 6 7 7 7 7 8 8 8 8 8 7 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 10 12 13 14 14 12 11 11 10 11 11 12 11 10 8 7 7 7 8 8 9 8 8 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 9 9 9 9 8 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 11 10 9 8 8 7 7 nan
nan 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 7 7 7 8 9 10 10 10 9 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 13 14 14 14 13 12 12 11 11 11 10 9 8 8 7 8 8 8 8 8 8 8 8 8 9 10 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 10 10 11 11 10 10 10 10 11 11 11 10 9 9 9 9 9 9 9 10 10 9 9 9 9 8 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 12 11 11 12 12 12 12 12 12 11 10 10 9 8 nan
nan 6 6 7 6 6 6 6 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 10 11 11 9 8 8 8 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 12 12 12 12 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 8 9 9 9 9 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 11 10 9 9 10 11 11 11 10 9 9 10 11 11 10 10 9 9 9 10 10 10 10 10 9 9 8 9 9 8 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 11 10 9 nan
nan 6 6 6 6 6 6 6 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 10 11 11 10 9 9 8 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 11 11 10 10 10 9 8 9 9 9 10 10 10 10 9 9 9 9 10 10 10 9 8 8 7 7 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 11 12 11 11 10 9 9 9 10 10 11 11 10 9 8 8 9 9 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 10 10 11 11 12 12 12 12 11 10 nan
nan 6 6 6 6 6 6 6 5 5 5 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 9 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 11 11 11 11 10 9 8 9 9 9 9 10 9 9 8 8 8 8 9 9 9 8 8 8 7 8 8 9 10 11 10 9 8 8 8 9 9 9 9 9 9 9 9 10 9 9 9 10 10 9 9 9 10 10 11 12 12 12 11 11 11 11 12 12 12 12 11 11 11 11 10 10 9 9 10 10 10 10 10 10 10 11 12 12 12 11 10 9 10 10 10 10 10 11 11 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 nan
nan 6 5 5 5 5 6 6 6 6 6 6 6 7 7 8 8 8 8 9 9 9 8 8 8 7 7 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 9 10 11 12 12 11 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 11 11 11 12 12 12 11 11 11 10 10 9 9 9 9 10 10 9 9 9 9 9 11 12 12 12 11 11 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 10 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 10 10 10 10 nan
nan 5 5 5 5 5 5 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 9 8 8 7 6 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 10 9 9 8 8 9 10 11 12 12 11 12 12 12 12 11 12 12 11 11 11 11 11 12 12 11 11 11 11 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 nan
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nan 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 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 11 11 11 11 11 11 11 10 10 9 9 10 11 11 11 11 12 13 13 13 12 11 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 nan
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nan 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 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 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 9 9 9 10 10 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 10 10 10 10 9 10 10 10 10 10 10 10 10 10 11 12 12 12 11 10 9 8 7 7 7 8 10 11 11 12 12 11 10 9 8 8 9 9 9 9 9 10 10 10 10 9 8 8 7 6 6 7 8 9 9 10 10 10 9 7 6 5 6 6 7 7 9 11 14 15 14 14 13 11 11 11 11 11 11 11 11 12 13 13 nan
nan 10 10 9 9 9 10 9 9 9 10 10 10 10 10 10 10 10 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 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 10 9 9 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 9 9 8 8 9 10 11 12 12 12 12 10 9 9 8 9 9 10 10 10 10 10 10 10 9 9 8 7 6 6 7 8 9 9 10 10 10 9 8 7 6 6 6 7 7 7 9 12 15 15 15 14 13 11 11 11 12 11 11 11 11 11 12 12 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 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 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 9 8 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 11 10 10 9 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 8 8 7 7 8 9 10 10 9 9 9 9 10 11 12 13 13 13 12 10 10 9 9 9 10 10 10 10 10 9 10 10 9 8 7 7 7 7 8 8 9 9 9 9 9 8 7 6 6 6 7 7 7 7 9 13 15 15 15 14 12 12 12 12 12 11 11 10 10 11 11 12 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 10 10 11 11 10 9 9 9 9 9 9 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 8 8 7 7 8 9 10 10 10 9 9 9 10 11 13 14 14 13 12 11 10 9 9 10 10 11 11 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 7 6 6 6 6 6 6 7 7 10 13 15 16 14 13 12 12 12 11 11 10 10 10 10 10 11 11 nan
nan 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 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 10 10 11 11 11 10 10 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 9 9 10 9 9 9 8 7 6 7 9 10 11 11 10 10 10 10 12 13 14 14 13 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 7 6 6 6 6 6 6 7 8 11 13 15 15 14 12 12 11 11 11 10 10 9 9 9 10 10 10 nan
nan 11 11 12 12 12 11 11 10 10 9 9 9 8 8 8 8 9 9 9 9 10 10 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 11 12 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 8 8 8 9 9 8 8 7 7 8 8 8 8 8 8 8 9 9 9 10 10 9 9 8 7 6 6 8 10 11 11 11 11 11 11 12 14 15 14 13 12 11 11 10 10 9 9 9 10 10 10 10 10 9 9 8 8 9 9 10 10 10 10 9 8 8 7 7 6 6 6 6 6 7 7 9 11 12 13 14 14 13 12 11 11 11 10 10 9 9 9 9 8 7 nan
nan 10 11 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 12 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 7 6 6 6 8 10 11 11 11 11 11 12 13 14 14 14 13 12 11 11 10 9 9 10 11 11 11 10 10 9 9 9 9 10 10 10 11 10 10 9 8 7 6 6 6 6 5 6 6 7 8 9 10 11 13 14 15 14 13 12 11 11 10 10 9 8 7 6 5 6 nan
nan 10 11 11 11 11 10 10 10 10 9 9 10 10 10 10 10 10 11 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 10 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 8 6 5 5 6 8 9 10 10 9 9 10 12 13 14 14 13 12 12 11 11 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 10 9 8 6 5 5 5 5 5 5 6 7 8 9 10 11 11 12 14 15 14 13 12 11 11 10 9 7 5 3 3 4 7 nan
nan 10 10 10 10 10 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 8 8 8 8 9 9 9 9 9 10 9 9 7 6 5 6 7 8 8 8 8 8 9 10 12 14 15 14 13 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 7 5 4 4 4 4 5 6 7 8 9 10 11 11 11 11 12 13 14 13 12 11 10 8 6 3 1 1 2 7 10 nan
nan 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 10 10 9 9 9 9 8 8 8 9 9 9 9 9 10 10 11 11 11 11 10 10 9 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 8 8 8 8 8 9 9 9 9 10 10 9 8 6 6 6 7 7 7 7 7 7 9 11 14 15 14 12 11 11 12 12 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 8 7 4 3 3 3 4 5 6 7 8 10 10 11 11 10 10 11 13 14 15 14 11 8 6 4 2 2 3 7 12 14 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 9 9 9 8 8 8 9 9 9 9 9 9 10 11 12 12 12 12 11 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 10 9 9 9 8 8 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 10 10 9 8 7 6 6 6 7 7 7 7 8 10 13 14 13 11 10 10 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 9 8 5 3 2 2 3 4 6 7 8 9 10 10 10 10 10 10 11 14 16 17 14 10 6 5 4 5 6 8 13 16 16 nan
nan 9 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 10 10 11 12 13 13 12 11 10 10 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 10 10 10 9 9 9 8 8 8 8 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 6 7 8 9 9 8 7 6 6 6 7 7 7 7 9 11 12 12 11 10 9 9 9 10 11 11 10 10 10 11 11 11 11 11 10 10 9 9 8 7 4 2 1 2 4 5 7 8 9 10 10 10 10 10 10 11 13 16 18 16 11 7 5 5 7 8 9 11 13 15 17 nan
nan 9 9 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 11 12 12 13 12 12 11 10 9 9 9 9 8 8 8 8 9 9 9 8 9 10 10 10 10 10 9 9 8 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 5 5 6 7 9 9 8 6 5 6 6 7 7 7 8 9 10 10 10 9 9 9 10 12 12 12 11 11 12 12 12 11 11 11 10 9 9 8 8 7 4 2 2 3 5 6 8 9 10 10 10 10 10 10 11 13 16 19 18 13 8 5 5 7 9 9 10 11 14 16 19 nan
nan 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 9 9 9 10 9 9 9 9 9 9 10 10 11 11 11 12 12 12 11 10 10 9 9 9 8 8 7 7 8 9 9 9 9 9 9 10 11 11 10 10 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 5 6 7 9 8 7 5 5 6 7 7 7 8 8 8 9 9 9 9 10 12 13 13 13 13 13 13 13 12 12 11 10 10 9 8 8 8 6 3 1 2 4 6 8 9 10 10 10 11 11 11 11 13 16 18 19 14 9 6 6 7 9 9 10 10 12 16 20 22 nan
nan 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 9 9 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 6 6 6 7 7 7 6 6 6 7 7 7 7 7 8 8 8 9 9 10 12 13 13 13 13 14 13 12 11 11 10 10 9 7 7 6 5 3 0 0 2 5 8 9 10 11 11 11 11 12 12 13 15 17 17 14 9 6 6 7 9 9 10 10 11 15 19 22 22 nan
nan 10 10 10 11 11 11 11 11 11 10 10 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 10 10 9 9 8 9 9 10 10 10 11 11 11 11 10 10 9 9 9 9 9 8 9 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 9 9 8 8 9 9 9 8 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 9 10 11 11 12 13 14 13 12 11 10 10 9 9 7 5 4 3 2 1 1 3 5 8 10 11 11 11 11 12 13 14 15 16 16 16 15 10 8 7 7 8 9 10 10 11 15 19 22 23 21 nan
nan 10 10 10 11 11 12 12 12 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 11 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 9 9 9 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 10 9 9 9 10 9 9 9 9 9 9 9 9 9 8 8 7 6 5 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 10 11 12 13 13 13 12 11 10 9 8 6 5 3 2 2 2 4 5 7 9 11 11 12 12 12 13 14 15 17 18 17 17 15 13 10 9 8 9 9 10 11 12 15 20 23 24 22 18 nan
nan 9 10 10 11 12 12 12 12 11 11 10 10 9 10 10 10 10 10 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 10 10 11 10 10 9 9 9 10 9 9 9 8 8 8 8 8 8 9 9 9 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 9 9 9 9 10 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 6 6 7 7 8 8 8 7 7 7 7 8 8 9 9 9 9 10 11 13 13 13 12 10 8 6 5 4 3 3 3 5 7 9 10 11 12 12 12 12 13 14 15 17 19 20 19 17 16 14 11 9 8 8 9 9 11 13 16 20 23 23 21 17 13 nan
nan 9 9 10 11 12 12 12 12 11 10 10 9 9 9 10 10 10 10 11 11 11 11 11 12 13 13 13 12 11 11 10 10 10 10 11 11 10 9 9 9 10 10 9 9 9 8 9 9 8 8 9 9 9 8 8 9 10 10 10 10 10 9 9 10 10 11 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 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 9 9 9 9 9 9 10 9 9 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 9 9 9 10 11 12 12 12 11 9 7 6 5 5 6 7 8 10 12 13 13 13 13 13 14 15 16 17 18 20 21 19 17 14 11 9 7 6 7 8 10 11 13 17 20 22 21 18 15 12 11 nan
nan 8 9 10 10 11 12 12 11 11 10 9 9 9 9 9 9 10 10 11 11 11 11 12 12 13 13 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 11 10 9 9 8 9 11 11 11 10 9 8 8 8 9 9 9 10 10 10 10 10 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 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 8 8 9 9 8 7 7 9 10 10 10 10 10 10 10 11 12 13 13 12 9 8 8 9 10 11 12 14 15 16 16 15 14 14 15 16 17 18 18 18 17 15 13 10 8 6 4 4 6 8 11 12 14 17 20 21 19 16 13 11 10 10 nan
nan 8 9 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 10 11 11 11 11 11 12 12 13 13 13 12 12 11 11 11 11 11 10 10 10 11 11 10 10 10 10 10 10 9 8 8 8 8 9 9 9 10 10 10 10 9 8 8 9 10 11 10 10 9 8 8 8 8 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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 7 8 10 11 11 10 10 10 11 12 13 14 15 15 13 12 12 12 13 14 15 16 17 17 17 15 13 12 13 14 14 14 13 13 12 10 7 6 6 6 6 7 9 11 13 15 16 18 20 20 19 16 13 11 10 10 10 nan
nan 9 10 10 10 10 10 10 10 9 9 8 9 9 9 9 9 9 10 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 8 8 7 8 8 9 10 10 9 9 8 8 8 8 9 10 10 9 9 8 8 8 8 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 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 9 9 9 9 9 9 8 8 9 11 11 11 11 10 11 12 13 14 15 15 14 14 13 13 14 14 14 15 16 16 14 12 9 8 9 11 12 11 10 10 10 9 8 8 9 11 12 12 13 15 16 16 17 18 18 18 17 14 12 11 10 10 10 10 nan
nan 10 10 10 10 10 10 9 9 9 8 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 8 7 7 8 9 9 9 9 8 7 6 7 8 9 9 8 7 7 7 7 7 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 9 9 9 8 9 10 11 11 11 10 10 11 12 12 13 13 12 12 12 12 12 12 12 12 13 12 11 10 9 8 9 11 13 14 14 14 14 14 14 14 15 16 17 16 15 14 14 14 14 15 15 15 14 12 11 10 10 10 10 10 9 nan
nan 10 10 10 10 10 9 9 9 9 9 9 10 9 9 9 9 10 10 11 11 11 11 11 11 11 12 12 13 12 12 11 11 10 10 10 11 11 11 11 11 10 10 10 9 8 7 7 7 7 8 8 8 8 7 6 5 6 8 9 9 8 7 6 7 8 7 7 8 8 9 9 9 9 9 10 9 9 10 10 10 11 11 11 11 11 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 10 10 11 12 13 14 16 17 18 18 17 17 17 17 18 18 17 16 14 12 11 11 11 11 11 11 11 11 10 10 10 10 11 10 10 8 nan
nan 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 12 12 12 12 12 11 10 10 10 10 10 10 11 11 11 11 10 9 9 8 8 7 7 7 7 7 8 7 6 5 5 6 8 10 10 9 8 7 8 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 11 11 11 11 11 11 11 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 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 11 11 11 12 13 14 15 16 16 17 17 16 15 14 15 15 15 14 13 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 nan
nan 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 10 11 11 10 10 9 9 8 8 8 8 7 7 7 7 7 7 6 5 6 8 10 10 10 9 9 9 10 10 10 9 9 10 10 10 9 9 9 9 10 10 10 10 10 11 10 10 10 10 10 10 10 10 11 11 11 11 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 8 7 6 6 6 6 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 5 6 7 9 11 12 12 12 12 12 12 12 12 13 13 13 12 12 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 nan
nan 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 9 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 10 10 11 11 11 11 11 11 10 10 10 9 9 10 11 11 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 6 5 5 5 5 6 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 6 3 2 5 8 11 13 13 13 13 12 11 11 11 11 11 11 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 nan
nan 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 9 9 8 8 8 8 8 7 6 6 7 7 7 8 8 9 10 9 9 8 8 9 10 10 10 10 10 10 10 9 9 9 8 7 8 9 10 10 10 10 10 11 12 12 12 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 10 10 10 10 10 10 10 10 10 9 9 7 6 4 4 4 5 6 7 8 8 8 7 7 7 7 6 5 4 4 5 7 7 6 3 1 3 6 11 15 15 14 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 nan
nan 9 10 10 10 11 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 8 8 7 7 6 6 7 7 8 9 9 9 8 8 7 7 7 8 9 10 10 10 9 8 8 8 8 8 8 7 8 9 9 9 8 8 9 10 11 12 12 13 12 12 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 6 4 4 4 5 6 7 7 8 7 7 8 8 7 7 6 4 4 4 6 7 7 5 3 4 7 11 16 18 17 15 13 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 9 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 8 8 7 7 7 7 7 8 9 10 9 8 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 8 7 6 7 8 9 10 11 12 12 12 12 12 11 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 7 6 5 5 4 4 5 6 7 7 7 7 7 7 8 8 8 8 7 7 7 8 9 9 9 7 7 10 13 17 20 20 17 15 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 nan
nan 9 9 9 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 9 8 7 7 7 7 7 7 8 9 9 9 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 8 9 10 11 11 12 12 12 11 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 9 9 8 7 6 6 6 5 6 6 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 10 10 10 10 11 14 16 19 20 18 15 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 1 3 12 36 89 188 339 477 550 566 541 508 495 488 495 504 516 538 571 614 651 651 606 569 545 534 531 525 504 469 431 397 371 345 319 327 298 266 238 218 205 197 189 188 191 191 191 190 190 193 195 194 184 171 151 135 136 140 147 149 148 138 118 87 52 42 43 47 55 63 64 59 50 49 45 44 47 43 28 8 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
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