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 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 13 14 15 16 16 15 14 13 11 9 9 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 8 8 9 9 10 10 9 8 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 9 9 8 7 8 8 8 7 6 6 6 6 6 6 7 7 6 6 5 5 5 5 5 5 5 5 5 6 6 6 7 8 8 9 9 8 8 7 7 6 6 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 nan
nan 10 10 10 10 10 10 10 10 10 9 9 10 9 10 10 9 9 9 9 9 8 8 9 10 11 12 13 14 15 16 16 15 14 12 10 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 8 8 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 10 10 9 9 8 7 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 9 8 8 7 7 7 7 7 8 7 6 6 6 6 7 7 8 7 6 5 5 4 5 5 6 6 6 6 6 6 7 7 7 8 8 9 9 8 8 8 7 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 14 15 16 16 16 15 13 11 10 10 9 9 8 7 6 6 7 7 8 8 8 8 8 8 8 9 9 10 9 9 9 9 8 8 8 8 9 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 9 8 7 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 5 5 5 6 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 8 8 7 7 7 nan
nan 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 10 10 10 10 9 9 9 10 11 11 13 14 16 18 17 16 14 12 11 10 9 8 7 7 7 7 7 7 7 8 8 7 7 7 8 9 9 9 9 9 9 9 9 8 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 8 8 8 8 9 9 9 8 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 7 7 7 7 7 7 8 9 9 9 8 6 5 6 6 7 7 7 7 7 7 7 7 7 7 6 7 8 9 9 10 10 10 9 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 10 11 12 14 15 15 15 14 14 14 13 11 9 8 8 9 9 7 6 7 8 8 8 7 7 8 8 9 8 8 9 9 9 9 8 9 10 10 11 11 11 11 11 10 10 10 10 9 9 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 6 7 7 7 7 7 7 7 7 7 7 8 9 10 9 7 6 5 6 6 6 6 6 6 6 7 7 7 6 6 6 8 9 10 11 11 11 10 10 9 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 nan
nan 8 8 8 8 8 8 8 7 7 8 7 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 10 11 11 12 12 12 13 14 15 15 13 10 10 10 10 9 8 7 7 8 9 9 8 7 8 8 8 7 7 8 9 9 9 8 9 10 11 12 12 12 11 10 10 10 10 10 9 9 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 7 7 8 8 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 7 9 9 9 8 6 6 5 5 5 6 6 7 7 8 8 8 8 7 7 8 9 11 12 12 12 12 12 11 10 9 8 7 7 8 9 9 9 9 9 9 10 10 10 10 10 nan
nan 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 9 9 8 8 8 9 10 10 9 9 9 10 11 12 13 14 15 15 14 12 11 10 9 9 8 8 9 9 9 8 8 9 9 8 7 7 8 8 9 9 9 9 10 11 12 13 12 10 9 9 9 9 9 10 9 9 8 8 8 8 8 8 9 9 8 8 8 8 9 9 9 9 9 9 8 8 9 9 9 9 7 6 6 6 7 8 9 9 8 8 7 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 8 7 7 7 7 6 6 7 7 7 6 7 8 9 9 9 8 7 6 5 5 5 6 7 8 9 9 9 9 9 8 8 8 9 10 11 12 13 14 14 13 11 10 9 8 8 9 9 10 10 10 10 10 10 10 10 9 nan
nan 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 9 10 10 11 12 14 16 16 14 12 11 11 12 11 10 9 9 8 8 8 9 9 8 7 8 8 8 9 9 9 9 9 10 10 10 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 10 9 9 8 8 9 9 9 8 7 6 6 6 7 8 9 8 8 7 7 7 8 8 8 9 9 10 9 9 8 8 8 9 9 9 8 8 8 7 6 6 6 7 7 7 7 7 8 9 10 9 8 7 6 5 5 5 6 7 7 8 8 9 8 8 7 6 6 7 8 9 11 13 15 15 14 13 11 10 9 9 10 11 11 12 11 10 10 9 9 9 nan
nan 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 10 11 12 14 15 15 13 13 14 15 13 10 8 7 7 7 7 8 8 8 8 9 9 8 8 8 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 10 10 10 8 8 8 8 8 8 8 9 10 10 9 8 8 9 9 9 8 8 7 7 7 7 7 8 8 8 8 7 7 8 8 8 9 9 10 10 10 9 9 8 8 9 9 9 9 9 8 7 6 6 6 7 7 7 7 8 9 10 9 8 8 8 7 6 5 5 6 6 6 7 8 8 8 8 7 6 5 5 6 8 10 12 14 14 14 13 12 10 10 10 11 12 12 11 9 8 8 8 8 nan
nan 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 10 11 12 12 13 14 15 16 16 14 10 7 6 6 6 7 8 8 7 7 8 8 8 8 8 8 7 7 6 5 5 5 6 6 6 6 7 7 7 7 8 8 8 9 9 10 11 11 10 9 8 8 7 7 7 7 8 9 10 10 9 8 9 9 10 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 11 10 10 9 8 8 8 8 8 9 9 8 7 6 7 7 7 7 7 7 7 9 9 9 8 9 9 9 8 6 5 6 6 5 6 7 9 11 11 11 10 8 7 7 7 8 9 11 13 13 13 12 11 10 10 10 10 10 9 8 7 7 8 8 nan
nan 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 13 15 16 16 14 11 8 7 7 7 8 9 9 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 9 10 10 10 10 9 8 8 8 8 8 7 7 8 9 10 9 9 9 9 10 10 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 9 10 10 10 10 9 9 8 8 7 7 8 9 9 8 7 7 8 7 6 6 6 7 8 9 9 9 8 9 10 9 7 6 6 6 5 5 6 8 12 13 13 12 11 10 9 8 7 7 8 10 11 12 11 11 10 10 9 9 8 7 7 7 7 8 7 nan
nan 7 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 13 13 13 13 12 11 10 9 9 9 10 10 9 7 6 6 6 7 8 7 7 7 7 7 7 7 8 8 9 8 8 7 8 8 8 8 8 8 8 9 9 10 10 10 9 8 8 8 8 8 7 7 8 9 9 9 9 9 10 10 10 10 10 9 8 7 7 7 7 7 8 8 8 8 8 8 8 9 10 10 10 9 9 8 8 8 8 8 9 9 8 8 8 8 7 6 6 5 6 7 8 9 9 9 9 9 8 7 6 6 6 5 5 5 7 9 11 11 10 9 9 9 8 6 5 6 7 9 10 11 11 10 10 9 9 8 7 7 7 7 7 7 nan
nan 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 9 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 10 12 13 13 12 11 10 10 11 11 8 6 5 4 6 8 7 7 7 7 8 8 8 9 9 9 8 7 7 7 8 8 8 8 8 8 8 9 10 10 10 10 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 10 10 10 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 10 10 10 9 8 8 8 8 8 9 9 9 9 8 7 6 6 5 5 5 6 7 8 9 9 10 9 8 7 7 7 7 6 6 6 6 6 7 7 6 6 6 7 6 5 4 4 4 6 8 9 10 10 10 9 8 8 7 7 6 6 6 6 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 10 8 7 7 7 8 11 14 14 14 13 11 11 12 12 10 7 5 4 6 8 8 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 8 7 6 6 6 7 8 8 8 9 9 8 8 8 8 9 10 10 9 9 9 9 9 8 8 8 9 10 9 8 6 6 6 5 4 5 6 7 8 9 10 10 10 9 8 8 8 8 8 7 7 7 7 6 6 6 6 6 5 5 4 3 3 4 5 7 9 9 9 9 9 8 8 7 6 6 6 6 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 10 9 7 6 6 7 9 11 13 14 13 12 12 12 12 12 11 9 7 6 7 9 9 8 7 7 8 9 9 10 10 9 9 9 10 9 9 9 9 10 10 9 8 9 9 10 11 11 10 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 9 10 10 9 8 7 7 6 7 7 8 9 9 9 9 8 8 8 9 10 10 10 10 10 10 10 9 8 7 9 10 10 8 7 7 6 5 5 5 5 5 6 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 4 2 2 3 4 7 8 9 9 9 9 8 8 8 8 8 8 nan
nan 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 8 7 7 7 8 9 10 11 11 11 11 11 11 11 12 12 12 10 9 8 9 9 9 8 8 9 10 11 12 11 10 10 11 11 11 10 11 11 11 10 9 8 8 10 11 12 12 11 10 9 9 8 8 9 9 8 8 8 8 9 9 8 8 9 10 11 10 9 8 8 7 7 7 8 9 9 10 9 9 8 9 9 10 10 10 10 10 10 10 9 7 7 8 9 10 9 8 8 7 6 6 6 5 5 6 7 8 9 9 10 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 7 5 3 2 1 1 3 6 8 9 9 9 9 9 9 9 9 9 nan
nan 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 11 13 13 13 11 10 9 9 9 9 9 10 10 11 11 10 10 10 11 12 12 12 13 12 11 10 10 9 9 10 11 12 12 12 11 10 9 8 8 9 9 9 8 8 8 9 9 9 8 9 10 11 11 10 9 9 8 8 8 8 8 9 10 10 9 9 9 9 9 10 10 10 9 9 9 8 7 6 7 8 10 10 10 9 8 7 7 6 6 6 6 6 7 8 9 10 10 10 10 9 8 8 7 7 7 7 7 8 8 9 9 8 8 6 5 4 2 1 1 3 5 7 8 9 9 9 9 9 10 10 nan
nan 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 12 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 11 13 13 12 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 10 12 13 13 12 11 11 12 12 11 11 10 11 12 12 11 10 9 9 9 8 8 9 8 8 8 8 8 8 8 8 8 10 11 11 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 7 9 10 11 10 8 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 9 9 8 7 8 8 8 8 9 10 9 9 8 8 7 6 4 3 2 3 4 5 6 7 8 8 8 9 9 10 nan
nan 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 7 8 8 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 12 11 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 11 12 11 10 9 8 8 9 9 10 10 10 9 9 9 9 8 8 9 9 11 12 12 12 11 11 13 13 12 11 10 10 11 11 11 11 10 9 9 9 9 9 8 8 8 8 7 8 8 7 7 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 9 8 7 6 7 9 11 10 9 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 7 7 8 9 10 10 9 9 9 7 6 5 4 4 4 4 5 5 6 7 7 8 8 9 nan
nan 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 7 7 8 9 9 9 9 9 10 9 9 9 10 10 11 11 12 12 12 12 11 11 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 7 6 6 7 8 8 9 9 9 9 10 9 9 8 8 9 10 10 10 11 11 11 11 12 12 12 11 10 10 11 11 11 11 10 10 10 9 9 9 9 8 8 8 7 7 7 7 7 7 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 10 10 9 10 10 11 10 9 7 6 6 8 10 10 9 8 8 7 7 7 8 8 8 7 7 7 8 8 8 9 9 9 8 8 8 7 7 6 7 8 9 9 10 10 9 9 8 6 5 5 4 5 5 5 5 6 7 8 9 9 nan
nan 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 7 7 7 8 8 9 9 9 10 10 10 10 9 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 6 6 7 7 8 8 9 9 9 9 8 7 7 8 8 8 8 8 9 10 11 11 11 10 10 10 10 10 11 11 12 12 11 11 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 10 11 11 10 8 6 5 7 8 9 9 9 8 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 9 9 9 8 7 7 7 7 8 9 9 10 10 9 9 8 6 5 5 6 6 6 5 5 6 7 8 9 nan
nan 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 8 7 7 8 8 8 9 9 10 10 10 9 9 10 10 10 10 10 10 10 10 9 9 8 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 8 8 8 8 8 7 7 8 8 8 8 7 7 6 6 6 6 6 6 5 6 7 9 10 11 10 10 10 9 9 9 10 11 11 12 12 12 11 11 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 10 10 9 9 9 10 10 10 10 10 10 10 10 11 12 11 9 7 6 6 7 9 9 9 8 8 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 7 7 7 7 7 7 7 6 5 6 7 8 nan
nan 8 8 8 7 7 8 8 8 9 9 9 9 9 10 9 8 7 7 7 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 6 6 6 6 6 5 5 6 7 9 10 10 10 10 10 10 9 9 9 10 10 11 12 12 12 12 12 12 11 10 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 10 11 12 11 9 8 6 7 9 9 9 9 9 8 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 10 10 10 10 10 10 9 9 9 10 9 9 8 8 8 8 9 9 9 8 7 7 6 6 nan
nan 8 8 7 7 7 7 8 8 9 9 10 9 9 9 8 8 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 7 7 7 7 8 10 11 11 11 10 10 10 10 10 10 9 9 10 10 11 11 12 12 13 13 12 11 10 9 8 8 8 9 8 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 9 10 10 10 9 9 10 10 9 9 10 12 12 11 10 8 9 9 9 10 10 9 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 10 10 11 11 11 11 10 10 10 10 9 8 8 9 10 11 11 11 10 9 8 7 6 nan
nan 8 8 8 8 7 7 7 8 9 9 10 10 9 9 8 8 8 7 7 7 7 8 8 9 9 9 9 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 12 12 12 11 10 10 9 9 10 10 10 10 9 10 10 11 12 13 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 13 14 13 12 10 9 9 8 8 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 9 9 10 11 12 12 11 10 9 9 9 9 9 9 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 11 11 11 11 10 9 8 8 8 10 11 12 11 10 10 9 9 8 nan
nan 8 8 8 8 9 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 9 9 9 10 10 9 9 8 8 8 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 13 12 11 10 10 10 11 11 12 12 12 11 11 12 12 13 13 13 12 11 10 10 10 10 10 10 11 10 10 10 10 10 11 12 13 14 14 12 11 9 8 8 9 9 8 8 8 8 8 9 9 9 9 8 7 7 7 8 8 9 9 9 8 8 7 7 7 7 7 8 9 11 12 12 12 10 9 8 8 8 9 9 7 6 6 6 6 7 7 8 8 8 8 8 9 9 8 8 9 9 9 8 9 9 10 10 10 11 11 11 10 9 8 8 8 9 10 10 10 10 9 9 10 10 nan
nan 8 8 8 8 9 9 9 8 8 8 8 9 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 10 10 10 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 10 9 9 10 11 12 12 13 13 12 12 12 12 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 13 14 14 13 11 9 8 7 8 8 9 8 8 8 8 9 10 10 10 10 9 8 8 7 8 8 8 8 7 6 7 7 7 7 7 7 8 9 11 12 12 12 11 9 8 8 9 10 9 7 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 9 9 10 10 9 9 9 9 10 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 10 11 12 12 12 11 10 10 11 12 12 11 10 9 9 9 10 9 9 9 9 9 9 10 10 9 10 10 10 11 13 14 15 13 11 10 9 9 9 9 9 9 8 7 8 9 10 10 10 10 10 9 9 8 8 7 7 7 6 6 7 8 8 8 8 8 8 8 9 10 11 12 12 11 9 9 9 10 9 9 8 7 6 7 7 7 7 7 8 8 8 8 9 9 9 10 10 9 9 9 9 8 8 9 9 10 10 10 9 9 9 9 9 9 10 9 9 8 8 9 nan
nan 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 12 12 11 11 11 11 10 9 8 9 10 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 13 14 15 13 11 10 10 10 10 10 10 9 8 8 7 8 9 9 10 10 9 9 9 9 8 8 8 9 8 8 8 8 9 9 9 9 9 9 8 9 10 11 12 12 11 10 9 9 9 9 8 7 6 7 7 7 7 7 7 8 8 9 9 9 9 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 nan
nan 8 8 8 7 7 7 8 8 8 8 8 9 9 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 10 9 9 9 10 10 10 10 10 9 9 9 10 9 9 9 10 10 11 13 14 13 11 10 10 10 10 9 9 10 11 10 9 8 8 8 8 8 8 9 9 10 9 9 9 9 9 9 10 10 10 11 13 14 14 12 11 11 11 10 10 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 9 10 10 10 9 9 10 11 11 10 9 9 9 9 10 11 12 12 12 11 11 9 9 9 9 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 8 9 9 9 10 10 9 8 6 6 6 7 7 7 7 7 nan
nan 8 8 8 7 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 12 14 14 13 10 8 8 9 10 11 11 11 10 9 8 8 7 7 8 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 12 13 13 12 11 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 10 10 10 10 9 9 9 10 11 11 11 11 12 12 12 11 9 9 9 9 8 7 7 6 6 6 7 7 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 8 9 9 10 10 10 8 7 6 5 5 6 7 7 7 nan
nan 9 8 8 7 7 7 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 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 9 9 9 10 10 12 13 13 12 9 8 9 10 11 11 10 10 9 8 8 8 8 9 9 10 10 10 10 9 9 10 10 9 9 9 9 9 9 9 10 11 13 13 12 12 12 12 11 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 10 9 9 9 9 9 10 10 10 10 11 11 12 13 12 11 10 9 9 9 8 7 7 6 6 7 7 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 8 7 6 5 5 6 6 7 nan
nan 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 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 10 10 11 12 12 11 10 9 10 11 10 10 8 7 7 7 8 9 9 10 11 11 11 11 11 10 10 9 9 9 9 9 10 9 8 8 8 9 11 12 12 12 12 12 12 11 11 10 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 11 10 10 10 9 8 7 7 7 7 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 8 7 6 5 5 5 6 nan
nan 8 8 8 8 7 7 7 7 7 7 8 9 8 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 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 11 10 10 10 10 10 10 9 9 8 6 6 6 7 9 10 10 11 11 11 11 11 11 10 10 10 9 9 9 10 10 9 9 8 8 8 9 10 11 11 12 12 12 12 12 11 11 11 10 10 10 9 9 9 9 9 8 8 9 9 9 10 10 10 9 8 9 9 9 9 9 10 10 10 10 10 9 10 10 9 10 10 11 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 9 10 10 10 10 9 7 6 6 6 6 nan
nan 8 8 8 8 8 7 7 7 7 7 8 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 7 6 6 7 9 10 10 10 11 11 10 11 10 10 10 10 10 10 9 10 10 10 10 9 9 8 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 9 9 11 13 13 13 12 11 10 9 8 8 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 10 10 10 10 9 8 7 7 7 nan
nan 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 7 8 9 10 11 10 10 10 10 10 10 9 9 9 10 10 9 9 9 8 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 10 10 10 10 9 9 9 8 9 8 8 8 8 8 8 8 9 10 12 13 14 13 12 11 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 9 9 9 10 10 11 10 10 8 8 7 nan
nan 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 8 8 8 8 8 8 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 9 8 8 9 10 10 10 9 10 10 10 10 9 8 8 8 8 9 9 8 8 7 8 8 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 12 12 12 13 12 12 12 11 10 9 9 10 11 11 10 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 9 11 12 13 12 11 10 9 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 10 9 8 8 nan
nan 7 6 6 6 7 7 7 8 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 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 9 8 8 8 8 8 8 8 9 8 8 8 9 10 10 10 9 9 9 10 10 9 9 9 9 9 9 8 7 7 7 8 8 9 8 8 8 8 8 9 9 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 11 11 11 12 12 12 12 12 11 11 10 9 10 11 11 11 10 9 10 10 8 7 6 6 6 7 7 8 8 9 9 8 8 9 10 12 12 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 10 10 9 8 nan
nan 8 7 6 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 9 10 10 9 9 9 10 10 10 9 9 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 10 10 10 10 10 9 7 6 6 6 7 8 9 9 10 9 9 9 10 11 12 12 11 10 9 9 9 10 10 10 9 10 10 10 10 10 10 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 8 nan
nan 9 8 7 7 7 7 8 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 9 8 8 8 7 7 7 7 7 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 10 10 11 11 10 10 10 11 11 10 10 11 10 10 10 10 10 10 11 11 11 9 8 7 7 7 7 8 9 10 10 10 10 11 11 12 12 12 10 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 nan
nan 10 9 8 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 11 10 9 10 10 10 10 10 10 10 10 11 11 12 11 10 10 9 9 8 9 10 9 9 10 10 11 12 12 12 11 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 9 9 10 9 9 nan
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nan 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 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 10 10 10 11 11 11 11 10 10 9 9 9 10 11 11 11 11 11 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 12 12 11 10 8 6 6 6 7 7 8 9 10 10 11 12 12 11 9 8 7 7 7 9 11 13 13 13 13 12 10 9 9 10 10 10 9 9 8 8 7 7 7 8 9 10 10 10 9 8 7 8 9 9 10 12 14 15 15 14 15 15 15 15 15 15 14 13 12 11 9 7 6 nan
nan 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 11 10 10 9 9 9 10 11 11 11 11 11 10 9 9 9 10 10 10 11 12 12 12 12 12 11 11 12 12 12 11 11 8 6 6 6 6 7 8 9 9 10 10 11 11 10 8 7 7 8 9 10 11 12 12 12 11 10 9 9 10 10 9 8 8 8 8 9 8 8 8 8 8 8 8 8 7 7 7 8 9 10 12 15 16 16 16 16 15 15 15 15 15 14 14 13 12 12 11 11 11 nan
nan 10 10 10 9 9 9 8 8 8 9 9 10 9 9 9 9 8 8 7 7 7 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 11 11 12 12 11 10 10 10 9 10 11 11 12 12 11 11 11 10 10 10 10 10 10 11 12 12 13 13 13 12 12 11 11 12 12 12 11 9 7 6 5 6 7 7 8 9 9 10 11 11 10 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 8 7 6 6 7 8 9 10 11 12 11 10 9 8 8 7 7 8 8 9 10 12 14 15 15 15 14 14 14 14 15 14 14 14 14 13 14 14 15 16 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 11 11 11 12 11 10 10 10 10 10 11 12 12 12 12 11 11 10 10 10 10 11 10 10 11 12 12 13 13 13 12 12 11 12 13 13 13 11 9 7 6 5 5 6 6 7 7 8 10 11 11 10 9 8 8 8 9 8 8 9 9 10 9 9 8 8 7 6 5 5 6 7 9 11 13 14 14 13 11 10 9 8 8 8 7 7 7 8 9 10 11 11 11 11 11 12 13 13 13 14 14 14 14 16 17 19 20 nan
nan 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 13 14 14 14 13 12 12 13 13 13 12 11 9 7 5 4 4 5 5 5 6 8 10 11 11 10 8 7 7 8 8 8 9 9 11 11 10 9 8 7 6 6 6 7 8 10 12 13 15 14 13 11 9 10 9 9 8 7 6 5 5 6 7 7 8 8 8 9 10 11 11 12 13 13 14 14 16 18 20 22 22 nan
nan 8 8 8 8 9 9 9 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 9 9 9 10 10 11 10 10 11 10 11 12 13 14 15 15 14 13 12 12 12 12 12 12 11 9 7 5 3 3 3 4 5 6 8 10 11 11 10 8 7 7 8 9 9 9 10 11 11 10 8 7 7 7 7 8 9 11 12 13 13 12 10 9 6 6 7 8 8 8 7 5 5 4 4 4 5 5 6 7 8 9 10 10 11 12 12 12 13 16 19 22 23 21 nan
nan 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 12 12 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 12 11 11 11 11 11 12 13 14 14 15 14 13 12 12 12 11 11 12 11 9 8 6 4 2 2 3 5 6 7 8 9 10 11 10 9 8 9 9 10 10 11 10 9 8 7 7 7 7 7 8 9 10 11 11 11 9 8 7 5 3 3 4 6 7 8 6 5 4 3 2 2 3 3 4 6 7 9 10 11 12 11 10 9 11 15 19 22 22 19 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 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 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 12 12 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 10 10 10 11 12 12 11 12 12 12 12 12 12 13 13 13 13 13 12 12 12 11 11 10 9 8 6 5 4 3 2 3 5 6 7 7 8 8 9 10 10 10 11 10 10 10 11 10 8 7 6 6 6 6 7 8 9 9 9 10 10 9 8 7 5 3 1 -0 1 4 7 7 6 5 3 2 1 1 2 3 4 5 8 11 13 14 13 11 7 6 8 13 19 21 19 16 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 8 8 8 8 8 9 9 9 9 9 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 10 11 11 11 11 11 11 12 12 12 12 12 11 11 11 12 12 12 12 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 10 11 11 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 9 8 6 5 4 3 3 4 6 8 8 7 7 7 7 8 9 11 11 12 10 9 9 8 6 5 5 5 5 5 6 7 8 9 9 10 10 9 9 8 6 5 2 -1 -2 0 4 6 5 5 4 3 2 1 2 4 5 6 8 10 14 16 15 13 9 6 6 9 15 21 21 16 14 nan
nan 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 11 12 12 12 12 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 12 12 12 12 12 11 12 12 12 12 12 11 11 9 9 9 9 8 6 4 3 4 6 9 10 9 7 6 6 6 7 9 10 11 10 8 7 5 3 3 4 6 6 6 6 7 8 9 9 10 10 10 9 8 7 5 4 1 -2 -2 1 3 4 4 3 3 3 3 3 5 6 8 10 12 15 18 17 13 9 6 6 9 16 23 26 22 17 13 nan
nan 7 7 7 8 9 9 9 9 8 8 8 8 8 7 7 8 8 8 9 9 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 12 12 12 12 12 12 12 11 11 11 11 12 12 12 11 10 9 9 8 8 9 8 7 5 3 4 8 11 11 8 5 4 5 7 8 9 9 8 7 5 3 1 0 3 7 9 9 9 10 11 12 11 11 11 11 10 8 7 7 7 6 2 -2 -1 0 2 3 3 3 4 4 5 7 9 10 12 15 18 22 22 16 10 5 4 8 17 25 31 31 24 17 11 nan
nan 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 12 12 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 12 12 12 12 12 12 11 11 10 10 11 11 12 11 11 10 9 9 8 8 8 9 8 7 6 3 5 9 11 10 5 2 3 5 8 9 9 8 7 5 2 0 -1 -0 5 10 11 11 12 14 16 15 14 13 12 10 8 6 6 7 7 5 0 -3 -2 -0 2 3 4 5 7 8 10 11 13 13 15 18 21 23 19 13 8 5 7 14 24 32 36 33 24 15 9 nan
nan 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 11 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 12 12 11 12 12 12 12 11 10 10 11 11 12 11 11 10 10 9 9 8 8 8 9 9 9 7 6 7 9 9 6 2 -0 3 6 9 10 9 8 6 3 1 -0 -1 2 6 9 10 11 13 15 15 14 13 12 10 9 6 4 3 2 1 -3 -7 -8 -5 -0 4 7 8 10 11 13 14 15 16 16 17 18 18 15 9 5 3 5 12 21 30 37 38 31 20 12 9 nan
nan 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 11 11 11 10 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 11 11 11 11 12 12 11 10 10 10 11 12 12 11 11 10 9 9 8 8 8 9 9 9 9 9 9 9 9 7 3 1 2 6 9 11 10 9 7 5 3 1 1 1 4 6 7 9 12 14 14 12 11 10 9 8 6 4 1 -2 -4 -6 -8 -9 -6 -2 4 9 12 13 14 15 15 17 18 20 21 20 19 15 10 6 4 5 11 20 29 36 40 36 25 15 10 9 nan
nan 9 9 9 8 8 8 7 7 7 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 11 11 10 10 10 11 11 10 10 10 10 10 11 11 11 11 10 10 9 9 8 8 8 9 9 9 9 10 10 10 8 5 3 5 8 10 12 12 11 9 7 4 3 2 2 4 5 6 7 10 14 16 14 12 10 8 6 4 2 -2 -5 -6 -6 -5 -3 -0 4 9 13 15 16 16 17 18 19 22 25 27 27 26 23 18 14 13 14 17 24 31 36 40 38 28 18 12 10 11 nan
nan 9 9 9 8 8 7 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 10 10 10 11 10 10 10 11 11 12 12 12 12 12 12 12 11 10 10 10 10 10 10 10 9 10 10 10 10 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 8 5 6 10 13 15 15 14 12 9 6 3 3 3 4 5 6 7 8 12 16 17 15 12 8 4 1 -3 -5 -7 -7 -5 -2 3 8 12 15 17 17 18 18 19 21 23 26 29 31 32 31 29 25 21 19 20 23 29 35 39 40 37 29 19 13 11 12 13 nan
nan 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 9 10 10 9 9 9 9 9 9 10 9 10 9 9 8 8 8 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 11 11 11 11 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 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 9 9 9 9 9 10 9 8 8 11 14 17 18 18 16 12 8 4 3 4 5 6 7 7 8 9 12 14 14 13 10 5 -0 -4 -5 -5 -3 0 4 9 15 18 20 21 21 21 22 24 26 28 31 33 33 31 27 24 22 19 16 17 22 29 36 40 40 36 28 20 15 13 13 14 14 nan
nan 9 8 8 8 7 8 8 9 9 10 10 10 10 10 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 12 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 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 11 13 15 16 17 16 14 9 5 3 5 8 10 10 10 9 10 11 13 14 15 15 12 5 3 2 4 7 10 13 17 22 25 26 26 25 25 26 27 29 29 30 29 28 25 20 16 14 12 10 11 16 24 32 37 37 33 26 18 15 14 15 16 15 15 nan
nan 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 11 11 11 11 11 10 10 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 13 13 13 12 9 6 4 6 11 14 15 14 12 12 13 16 19 22 23 22 17 13 12 13 16 20 22 24 25 27 27 25 23 21 21 21 22 21 20 19 17 15 12 10 10 11 12 13 16 21 27 30 30 27 22 16 13 13 14 15 16 15 15 nan
nan 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 10 9 10 9 9 9 9 9 10 10 10 10 10 10 10 9 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 9 8 6 5 6 10 14 16 16 14 13 14 17 20 22 24 24 22 19 17 17 18 20 22 23 23 23 21 18 14 12 13 15 16 16 14 13 13 13 12 11 13 16 18 18 19 21 23 23 22 20 17 14 12 12 13 14 14 15 15 14 nan
nan 8 8 8 8 8 8 8 9 10 10 9 9 9 9 8 8 8 8 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 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 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 9 9 9 10 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 9 7 6 5 6 9 11 12 12 12 10 11 13 15 17 18 17 16 14 13 13 13 13 14 15 16 17 16 14 12 12 13 16 20 21 22 22 23 23 23 22 22 23 24 22 19 18 18 17 15 14 13 12 12 12 12 12 12 13 13 14 15 nan
nan 9 9 9 8 8 9 9 9 9 9 9 9 8 8 8 7 8 9 10 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 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 9 9 10 10 10 10 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 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 8 7 5 5 6 7 9 9 9 9 8 8 9 10 11 11 11 10 9 8 7 7 6 7 9 10 12 13 13 15 17 20 24 26 28 29 29 29 30 30 29 28 26 24 21 16 13 13 12 11 11 11 11 11 12 12 12 12 12 12 13 14 16 nan
nan 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 8 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 10 10 10 11 11 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 10 10 8 6 3 1 2 4 6 8 8 8 8 8 8 8 9 9 9 8 8 7 6 4 2 2 2 5 8 11 13 14 16 18 21 22 23 24 25 25 24 23 23 22 22 21 18 16 12 9 9 9 10 10 11 11 11 11 12 12 12 12 12 12 13 14 16 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 10 10 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 9 9 9 8 8 8 7 7 7 8 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 8 5 1 -2 -5 -5 -2 1 4 6 7 7 7 8 9 8 8 7 7 8 7 5 1 -3 -4 -2 2 8 12 15 16 16 17 17 18 17 16 16 16 16 15 15 15 15 14 13 12 10 9 8 8 8 9 10 11 11 11 11 12 12 12 12 12 12 12 13 13 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 9 9 9 9 9 9 8 7 5 3 1 -0 0 2 4 6 8 8 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 6 2 -3 -7 -8 -7 -5 -1 1 2 3 3 4 6 6 5 3 2 3 5 6 5 1 -7 -10 -7 -0 9 16 18 18 17 17 16 16 14 13 12 12 11 12 12 13 14 14 13 13 12 11 10 9 9 8 9 10 11 11 11 11 12 11 11 11 11 11 11 12 12 nan
nan 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 10 10 10 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 6 5 5 5 4 5 7 7 7 6 3 -1 -5 -7 -5 -3 -0 2 4 5 6 7 7 8 8 9 9 9 10 10 10 9 9 9 9 8 7 4 -0 -6 -9 -8 -5 -1 2 4 4 3 3 3 3 3 1 -2 -5 -5 -1 2 3 2 -6 -12 -10 -2 10 21 24 22 19 17 16 15 14 13 12 12 11 11 12 13 13 14 14 14 14 13 12 11 10 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 9 10 10 10 10 10 11 11 11 12 12 12 12 12 11 11 10 10 10 10 10 11 10 10 9 10 10 10 10 10 10 10 10 10 10 9 8 7 5 3 0 -1 -0 2 4 4 3 0 -3 -5 -4 -2 -0 1 1 1 -0 -0 0 2 4 5 7 8 9 10 10 9 8 6 5 3 1 -1 -4 -7 -9 -7 -3 2 6 7 7 6 6 6 5 5 3 0 -3 -4 -3 1 4 4 1 -6 -7 1 12 25 31 29 24 19 16 15 14 14 13 12 12 12 12 12 13 13 14 14 14 14 13 12 12 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 11 11 nan
nan 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 10 10 11 11 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 9 7 5 3 2 2 1 0 -2 -4 -4 -2 2 5 6 6 6 3 1 -2 -2 -1 1 2 4 7 9 11 10 8 5 2 -1 -4 -5 -6 -7 -6 -4 0 5 7 8 8 8 7 7 7 7 6 6 5 4 5 7 9 9 8 5 3 8 18 28 35 34 28 23 18 15 14 14 14 13 13 13 13 13 13 13 13 13 13 13 14 13 13 13 12 11 11 11 11 11 12 11 11 11 11 11 11 10 10 11 10 10 nan
nan 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 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 10 11 11 12 12 12 12 11 11 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 14 14 12 8 5 1 -2 -2 0 4 8 10 10 10 10 8 6 5 4 4 4 4 5 8 10 10 9 7 5 3 1 -0 -1 -1 -0 2 4 6 7 7 8 8 8 8 7 7 7 7 8 9 10 11 13 13 13 12 11 13 19 26 34 35 29 24 19 16 15 15 15 14 14 13 13 13 13 12 12 12 12 13 13 13 14 14 13 13 12 12 12 11 12 12 11 11 11 11 11 11 11 10 10 10 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
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