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 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 7 7 7 7 6 6 6 6 7 7 8 8 7 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 8 8 9 8 8 9 9 9 9 9 9 8 9 10 11 12 12 12 12 12 13 13 12 11 9 7 6 6 6 7 7 8 8 10 10 10 10 9 8 5 3 3 4 6 7 8 8 7 8 9 8 6 6 7 9 9 8 9 10 10 10 10 10 10 10 9 8 6 5 6 7 7 7 8 9 8 7 6 5 6 7 8 9 10 10 8 7 6 5 6 6 6 6 5 6 6 7 7 7 8 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 nan
nan 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 7 7 7 8 8 9 9 10 9 9 9 9 9 10 11 12 12 12 12 13 13 13 12 10 9 8 8 7 6 6 6 7 9 10 9 9 9 9 6 4 4 4 4 5 6 7 7 8 9 7 5 5 6 8 9 9 10 10 10 10 10 11 11 11 11 8 6 5 5 5 6 6 8 8 8 8 7 7 7 7 8 9 9 9 8 6 5 5 6 8 7 7 6 5 5 5 5 5 6 8 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 nan
nan 7 7 7 7 7 7 7 7 6 6 7 7 7 7 8 8 8 7 7 7 7 7 7 7 6 6 6 7 7 7 8 9 9 8 7 7 7 8 8 8 9 9 9 8 8 8 8 9 8 8 8 7 7 7 7 7 6 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 11 11 10 11 11 12 12 12 12 10 10 9 9 8 6 6 6 8 9 9 9 9 9 8 6 5 4 4 3 4 6 7 9 9 8 5 4 4 6 8 9 10 10 10 9 10 10 10 11 10 9 7 5 4 4 4 5 7 8 8 8 8 8 8 8 9 10 10 9 7 6 5 6 7 9 9 8 7 5 4 4 4 3 4 5 7 9 10 9 8 8 8 7 7 7 7 8 8 8 7 8 8 9 8 8 8 8 8 8 7 8 nan
nan 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 8 9 9 8 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 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 10 10 11 11 12 11 10 10 10 9 8 6 5 6 7 9 9 9 9 9 8 7 6 4 3 3 5 7 9 10 9 7 4 3 5 7 9 9 9 9 9 9 9 9 9 9 9 8 6 4 3 3 4 5 7 8 8 8 8 8 9 10 11 10 9 7 6 6 7 8 10 10 9 7 6 5 5 4 3 2 4 6 8 9 9 8 8 8 8 8 7 7 7 7 7 8 7 8 8 8 8 8 8 9 8 7 8 nan
nan 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 9 8 8 8 8 9 9 8 7 7 7 7 7 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 9 8 7 6 5 6 7 9 9 10 10 10 10 8 6 5 4 5 7 9 11 12 10 6 3 4 6 8 9 9 10 10 10 9 9 9 9 9 9 7 6 4 4 4 5 6 7 7 7 6 7 9 11 11 11 10 8 6 6 7 8 9 10 9 7 6 6 6 5 4 3 3 5 7 8 8 8 9 9 8 8 8 7 7 7 7 8 8 7 7 8 8 8 8 9 8 8 8 nan
nan 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 9 9 9 8 8 8 9 9 8 7 8 8 8 8 8 9 10 10 10 10 11 11 10 10 9 8 8 7 7 7 7 7 8 9 9 9 9 10 9 9 10 10 11 11 11 10 10 10 10 9 8 7 7 6 5 5 6 8 9 10 11 10 10 8 7 6 6 7 8 10 12 12 9 5 4 5 6 8 9 10 11 11 10 9 9 8 9 9 8 7 6 5 4 5 6 6 6 6 5 5 7 9 11 11 10 8 7 6 7 7 8 8 8 7 6 6 7 7 6 5 5 6 8 9 9 9 9 9 9 9 8 8 8 7 7 8 8 7 7 7 7 8 8 8 8 8 8 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 9 9 10 10 10 9 9 9 8 8 7 8 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 12 11 11 11 11 10 8 8 7 7 6 5 5 6 7 8 9 10 10 9 8 7 6 7 7 9 11 12 11 7 5 5 6 7 8 10 11 11 11 10 9 9 9 9 9 8 7 6 4 4 5 6 5 5 4 4 5 8 10 10 10 8 7 6 6 5 5 5 6 7 7 7 7 7 7 6 5 6 8 10 11 11 10 10 10 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 8 8 8 8 9 10 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 12 12 12 12 11 10 8 8 8 7 6 5 5 5 6 7 8 9 9 8 7 7 7 8 9 10 12 11 9 8 7 6 7 8 10 11 12 12 11 10 10 10 10 9 9 8 7 6 5 4 4 5 5 5 4 5 7 9 10 10 8 7 6 5 4 4 4 5 6 7 7 7 7 7 6 5 6 8 10 12 12 11 10 10 10 9 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 nan
nan 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 11 11 11 11 10 10 11 11 11 11 11 11 12 12 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 9 9 9 9 11 12 13 13 12 12 11 9 8 8 8 8 7 6 5 5 5 6 8 8 7 7 7 8 8 9 10 11 11 10 9 8 8 8 8 9 10 12 12 11 10 11 11 11 10 10 9 8 8 7 4 4 4 5 5 5 6 7 8 9 10 9 7 7 6 5 4 4 4 5 6 6 6 6 7 7 6 7 8 9 10 11 10 11 11 11 10 9 8 8 8 8 8 7 8 8 9 9 8 8 7 7 7 nan
nan 7 7 6 6 6 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 12 12 12 12 11 11 11 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 10 11 10 10 9 9 9 9 9 10 11 12 13 14 13 13 12 11 9 9 8 9 9 8 7 6 5 6 6 7 7 7 7 8 8 8 9 10 10 10 10 9 9 8 8 8 9 11 12 11 11 11 11 11 11 10 9 9 10 9 7 4 4 5 5 5 6 6 7 8 9 9 8 8 8 7 6 4 3 4 6 6 6 7 7 8 9 9 9 8 7 7 8 9 10 11 11 10 10 9 8 8 7 7 7 7 8 8 9 8 8 7 7 nan
nan 8 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 12 14 14 13 12 11 11 10 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 10 10 9 9 9 9 9 10 11 12 12 13 14 15 14 14 13 11 11 10 10 10 10 9 8 7 6 6 6 7 8 8 8 7 7 8 8 8 8 9 9 9 9 8 8 9 11 11 11 11 11 11 11 11 10 9 9 10 11 9 7 5 5 6 6 6 6 5 6 8 8 8 9 9 9 8 5 2 3 4 6 7 7 8 9 10 11 10 8 5 4 6 7 9 10 11 11 11 11 10 9 8 8 7 7 7 8 9 9 9 8 7 nan
nan 9 8 8 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 9 10 12 14 14 13 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 9 9 10 10 10 12 13 14 15 14 13 12 12 11 11 11 11 11 11 10 8 7 7 8 9 10 9 8 7 7 6 6 6 7 8 9 9 9 9 9 10 11 10 10 10 10 10 10 9 9 9 10 11 11 10 8 7 7 7 7 6 5 5 6 7 8 9 10 10 9 6 3 3 3 4 6 7 8 10 11 11 9 7 4 4 5 5 6 7 9 11 11 12 11 11 10 9 8 8 8 9 9 10 10 9 7 nan
nan 9 9 8 8 8 7 7 6 7 7 7 7 7 7 7 8 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 8 8 8 8 10 12 12 11 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 8 8 8 8 8 7 7 7 7 8 8 7 7 8 9 11 13 14 13 12 12 11 11 11 11 11 12 12 11 11 10 9 9 9 10 10 9 8 6 5 4 4 5 7 9 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 11 11 10 9 8 8 8 7 6 5 5 6 7 9 10 10 9 7 5 3 3 3 4 6 8 10 11 10 7 5 4 4 4 4 4 5 7 9 10 11 12 12 11 10 9 9 9 9 9 10 10 10 8 nan
nan 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 10 10 10 10 10 10 9 8 7 7 7 8 9 10 10 9 9 8 8 7 6 6 7 9 10 11 10 10 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 7 7 6 6 7 8 9 11 12 13 12 11 10 10 10 10 11 11 11 12 11 11 10 9 10 9 9 9 8 6 5 4 4 4 6 8 10 10 9 9 8 7 7 9 9 9 8 9 9 9 9 9 8 9 10 11 9 8 7 8 8 7 6 6 6 7 8 9 10 10 9 7 6 4 3 3 5 8 10 11 9 6 4 3 4 4 3 3 3 5 6 8 10 11 12 11 10 9 9 10 10 9 9 9 9 9 nan
nan 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 7 6 6 6 7 7 7 8 8 8 7 7 7 6 5 6 8 11 12 11 11 10 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 9 8 8 8 7 8 8 8 9 11 12 12 11 10 9 8 9 9 10 10 11 11 10 10 9 9 9 9 9 8 7 6 5 4 4 5 7 9 10 10 8 6 5 5 7 7 8 8 9 9 10 10 8 7 8 9 11 10 8 7 7 7 7 7 7 7 7 8 8 9 10 10 9 9 7 5 4 5 7 9 10 9 7 5 4 4 4 4 3 3 3 4 6 8 10 11 11 10 9 9 10 10 9 9 9 9 9 nan
nan 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 9 9 9 8 7 7 6 6 7 7 7 8 8 7 6 6 5 4 5 7 11 12 11 10 10 10 9 9 9 9 8 9 10 9 9 8 8 8 8 8 9 9 10 10 11 10 9 9 8 9 10 11 11 10 10 9 8 8 8 8 9 9 10 9 9 9 9 9 9 9 9 8 7 7 6 5 5 6 9 11 11 10 7 5 5 6 6 7 8 9 10 10 10 9 7 7 9 10 10 9 8 7 6 6 7 8 8 8 8 8 9 10 10 10 10 9 8 6 5 6 7 8 8 8 7 6 6 5 5 5 4 3 3 4 6 7 9 10 10 10 10 10 9 9 9 9 9 9 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 7 6 5 4 4 6 9 11 11 9 9 9 9 9 8 8 8 8 9 10 10 10 9 9 9 8 8 9 9 10 11 12 12 11 10 10 10 11 12 12 11 10 9 9 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 8 8 7 6 6 7 10 12 13 12 9 7 7 6 6 7 8 9 9 9 9 9 8 7 7 9 10 10 9 8 7 6 7 8 8 8 8 8 9 10 10 10 10 10 8 7 6 6 6 7 8 8 7 7 7 6 7 6 5 3 3 4 4 5 7 8 9 10 10 9 9 9 9 9 9 9 nan
nan 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 7 5 5 6 7 9 10 10 9 8 7 7 8 8 8 7 8 8 9 10 11 11 10 10 10 10 9 9 9 9 9 10 11 11 11 11 11 12 14 14 14 13 11 10 9 8 8 8 9 9 9 9 9 8 8 8 8 9 9 8 8 7 6 6 8 10 12 13 12 11 10 9 8 8 9 9 9 9 10 10 9 8 7 6 6 8 10 10 10 8 6 7 7 8 8 9 9 10 10 11 11 11 11 9 8 7 7 7 7 8 8 8 7 7 7 8 7 5 4 3 3 3 5 6 7 9 9 9 8 8 8 8 9 9 9 nan
nan 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 8 8 9 8 8 7 7 8 8 7 6 7 9 10 11 11 9 8 6 5 5 5 6 7 7 7 9 10 11 12 11 11 10 10 10 10 9 8 8 8 8 9 10 11 11 11 12 14 16 16 16 15 13 12 10 9 9 10 10 10 10 9 9 9 8 8 8 8 8 7 6 5 7 9 10 12 13 13 12 11 10 9 9 9 10 10 9 10 11 11 10 8 6 6 7 9 10 10 8 7 7 7 7 8 9 9 10 10 11 12 12 12 11 11 10 9 8 8 8 9 9 8 8 8 9 8 6 4 3 3 3 4 6 7 9 10 9 8 7 7 7 8 8 9 nan
nan 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 5 5 5 5 6 5 5 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 7 6 5 7 8 8 8 10 11 12 13 12 10 8 6 5 5 5 6 6 7 8 9 11 12 12 11 11 10 10 10 10 9 8 8 8 8 8 8 9 10 11 12 14 16 17 18 18 17 15 13 12 11 12 12 12 11 10 10 9 9 8 8 8 8 7 5 5 7 9 11 11 12 12 12 11 10 9 9 8 9 9 9 10 11 12 12 10 8 6 6 8 9 9 8 7 7 7 7 8 8 9 9 10 10 11 12 12 12 12 11 10 9 9 9 9 9 8 8 8 9 9 8 7 5 4 4 4 5 6 8 10 10 9 8 7 6 6 7 9 nan
nan 8 8 8 8 8 8 8 8 7 7 7 8 8 7 6 5 5 5 5 5 6 6 5 6 6 6 7 7 7 8 8 9 8 8 8 7 7 8 9 10 10 9 7 7 7 6 6 6 7 8 8 10 11 12 14 15 15 13 10 9 9 9 9 8 7 7 8 9 10 10 10 9 9 10 11 11 9 9 8 9 9 9 8 8 9 10 11 12 13 15 16 17 18 18 17 16 16 15 16 16 15 14 12 11 10 10 9 9 9 8 7 5 6 8 10 11 11 11 11 11 10 10 9 9 8 7 8 9 9 11 12 12 12 9 7 6 6 7 7 8 7 7 7 7 8 8 8 9 9 10 11 11 12 11 11 10 10 9 9 10 10 9 8 8 9 9 10 11 10 9 7 7 6 5 6 8 9 10 10 9 8 6 5 7 8 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 6 5 4 5 5 6 6 6 6 6 7 7 7 7 8 9 9 9 9 9 8 7 6 7 8 8 8 8 7 7 7 7 7 6 6 7 8 9 10 12 14 16 16 15 15 14 14 13 11 9 8 7 7 7 8 8 7 7 7 8 9 9 8 8 9 9 10 10 10 9 10 10 10 11 11 12 13 14 16 17 16 17 18 18 18 17 17 16 15 14 13 12 12 12 11 10 9 7 8 10 11 11 11 11 11 10 10 10 10 9 9 8 8 9 9 10 11 12 12 11 9 7 7 7 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 10 11 11 11 10 10 11 12 13 13 14 13 12 11 9 8 7 7 8 10 11 11 10 8 7 7 8 nan
nan 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 5 5 5 5 6 7 7 7 7 8 8 8 9 9 9 10 10 10 10 9 7 6 6 6 6 6 7 7 8 8 8 7 6 6 6 7 7 9 10 12 14 15 16 17 17 17 16 13 11 9 8 6 6 6 6 6 6 6 7 7 6 6 7 9 9 10 10 10 10 10 10 10 10 9 9 9 11 12 13 13 14 16 17 17 18 18 18 18 18 18 18 17 16 15 14 13 12 12 13 13 12 11 12 12 12 11 11 10 11 11 10 9 9 9 9 10 10 11 12 11 10 9 9 9 9 10 10 10 10 10 9 9 9 10 11 11 11 12 11 11 11 11 12 12 13 13 13 14 15 15 16 16 17 17 16 16 15 14 11 9 8 9 11 12 12 10 9 8 8 9 nan
nan 7 7 7 6 6 6 6 7 7 8 8 8 8 8 6 5 5 5 6 6 7 7 7 7 8 8 9 10 10 10 10 10 10 10 9 8 7 6 6 6 6 7 8 9 9 9 8 7 6 5 5 6 7 8 9 11 12 14 16 17 19 19 17 15 12 10 8 8 7 7 7 7 7 8 7 7 8 10 10 10 10 10 10 9 9 9 10 9 8 8 8 9 10 10 10 10 11 13 15 16 18 19 21 22 23 23 22 21 19 18 18 17 17 16 15 13 13 14 15 15 14 13 12 12 11 11 11 10 9 8 8 9 10 11 12 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 12 13 14 14 14 14 14 14 14 14 14 15 16 17 17 17 17 18 18 18 18 17 17 15 13 11 12 13 14 13 11 10 9 9 10 nan
nan 7 7 7 6 6 6 6 6 7 8 8 8 8 7 6 5 5 6 6 7 7 6 6 6 7 8 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 9 10 10 11 11 10 9 7 6 6 5 5 6 7 8 9 10 12 15 18 20 20 18 15 13 12 11 10 9 9 10 10 10 11 12 13 13 13 12 11 10 9 9 9 10 10 10 8 8 8 9 9 8 7 6 7 8 11 13 14 16 17 19 21 22 21 20 20 19 19 18 17 16 15 15 15 16 16 16 16 15 14 13 12 11 11 10 9 9 8 9 10 11 11 11 11 11 10 9 9 9 9 10 10 11 11 11 12 12 13 14 15 16 16 16 15 14 14 13 13 13 14 15 16 15 15 15 16 16 16 16 17 17 15 14 15 16 16 15 12 11 10 10 10 nan
nan 7 7 7 7 6 6 6 6 7 8 9 9 8 7 6 5 5 6 6 7 6 5 4 5 6 7 8 8 8 9 8 8 7 7 7 7 7 8 8 9 10 11 12 11 12 12 11 11 9 8 7 6 5 5 5 6 6 7 9 11 15 18 19 17 16 15 15 14 14 14 14 13 13 13 14 15 15 15 14 13 12 11 10 10 10 12 12 10 9 8 9 9 9 8 7 6 6 7 9 11 12 12 12 13 15 17 17 16 16 15 14 14 13 13 14 15 16 16 16 16 15 15 14 13 12 11 11 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 9 10 11 12 13 12 12 12 13 13 14 14 14 14 13 12 12 12 11 11 11 12 12 12 12 12 13 13 14 14 14 15 15 15 15 16 17 17 15 12 10 9 10 nan
nan 7 7 7 7 7 7 7 7 7 7 8 9 8 7 6 5 5 6 7 7 6 4 2 4 6 7 7 8 8 8 8 7 6 6 7 7 7 8 10 11 12 13 13 12 12 12 12 13 12 11 10 8 6 6 6 6 6 6 7 8 11 14 14 14 15 16 17 18 18 18 18 16 16 17 18 18 17 16 15 14 13 13 13 13 13 14 14 11 9 9 9 9 9 9 9 8 8 8 9 10 11 11 10 9 10 11 12 13 12 11 11 10 10 11 12 14 14 15 15 15 15 14 14 14 14 14 14 13 13 13 13 12 11 11 11 12 13 13 13 13 12 12 12 12 12 13 14 13 12 11 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 13 13 13 13 14 15 16 17 18 16 14 11 10 11 nan
nan 8 8 8 7 7 7 7 7 7 7 8 8 8 7 6 6 6 6 7 6 5 3 3 4 5 6 7 7 7 7 7 7 6 6 6 7 8 9 10 12 13 14 13 12 12 12 13 14 15 14 13 11 9 8 7 6 6 7 6 7 9 10 11 12 14 16 17 18 19 18 17 16 17 19 19 19 17 16 15 15 15 16 16 17 18 17 15 12 10 9 9 9 9 10 9 9 9 9 9 11 11 11 9 8 8 9 10 11 11 11 10 10 10 10 11 12 13 14 14 14 14 15 15 16 16 16 17 17 16 15 14 13 11 11 12 13 15 16 16 15 15 15 14 13 13 13 14 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 13 13 13 13 14 16 16 16 15 13 11 11 nan
nan 8 8 8 8 8 8 7 7 7 7 8 8 7 7 6 6 6 6 6 5 4 3 4 5 6 6 7 7 7 6 6 7 7 7 7 8 9 9 10 11 12 12 12 11 11 11 12 13 15 15 14 13 12 11 9 8 7 7 7 7 8 9 11 13 14 14 14 15 16 14 13 12 15 17 18 17 16 16 16 16 17 18 19 20 20 18 15 12 10 9 9 9 9 9 9 9 9 11 11 11 11 11 10 9 8 8 9 9 10 10 10 10 10 10 11 12 12 13 13 13 13 14 14 15 15 16 16 16 16 15 14 12 10 10 12 14 15 15 14 14 14 14 14 13 13 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 13 14 14 14 13 13 13 14 15 14 12 10 11 nan
nan 9 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 5 4 3 3 4 5 6 7 7 7 7 6 6 7 7 8 8 9 9 9 9 10 10 10 10 9 9 9 10 11 12 13 14 14 14 13 12 10 8 7 7 7 8 9 12 13 13 11 10 11 11 11 10 10 12 14 13 13 13 14 15 16 16 18 19 19 18 15 13 12 10 10 9 9 8 7 7 7 9 12 12 12 12 11 11 10 9 9 9 9 9 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 13 13 12 13 13 13 12 11 10 11 12 13 13 13 12 12 12 12 12 12 11 11 10 10 10 9 9 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 11 11 12 12 12 12 13 14 15 14 13 11 11 11 12 11 10 9 10 nan
nan 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 6 6 4 3 3 3 4 6 7 7 7 7 7 7 7 7 8 8 9 8 9 9 9 9 9 9 8 8 7 7 8 8 9 10 11 12 14 14 14 12 10 8 7 7 7 9 12 13 12 9 8 9 10 11 10 10 10 10 9 8 9 11 13 14 14 15 16 16 14 13 12 11 10 9 8 8 7 6 6 7 9 11 12 12 12 11 11 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 11 10 10 11 11 11 11 12 13 13 13 12 12 12 11 11 11 10 10 9 9 9 8 8 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 11 12 12 12 12 13 14 14 14 12 9 8 8 8 9 8 8 9 nan
nan 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 6 5 4 3 4 5 6 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 8 10 12 14 14 14 13 11 9 7 7 9 11 11 10 9 8 9 11 12 11 11 10 8 7 6 7 9 12 13 13 13 12 12 12 13 11 10 9 9 8 7 6 6 6 7 9 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 11 11 11 11 11 11 11 11 11 12 12 12 11 9 9 10 11 12 12 12 12 12 12 12 12 12 12 11 10 9 9 8 8 8 7 7 6 6 7 7 7 8 8 8 8 9 9 10 10 10 10 9 10 10 11 11 11 12 12 12 13 12 11 9 7 7 7 7 8 8 9 nan
nan 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 6 5 5 5 5 6 6 6 7 7 8 9 9 8 9 8 7 7 8 9 10 9 8 7 7 8 8 8 8 8 7 6 6 8 10 11 12 14 14 13 11 9 8 9 10 10 9 9 9 10 11 11 10 10 9 8 7 7 7 9 11 13 12 11 10 10 11 12 11 10 9 9 8 7 6 5 6 8 9 10 10 10 11 11 11 11 11 11 11 10 10 11 11 11 10 10 11 11 11 11 10 10 10 10 10 11 12 11 10 9 9 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 8 8 7 7 7 6 6 6 6 7 8 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 11 11 11 10 9 8 6 6 6 7 7 8 nan
nan 8 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 6 6 6 5 5 6 7 7 8 8 8 9 9 9 8 7 8 9 10 10 8 7 7 8 9 10 10 9 8 7 7 7 8 9 10 12 13 13 13 12 11 10 10 9 9 9 9 9 10 9 8 7 7 8 8 9 9 10 11 12 11 10 9 8 9 10 10 10 10 10 9 7 6 6 7 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 10 10 10 9 9 9 9 10 10 10 10 10 9 8 8 7 7 8 8 8 8 8 7 7 7 7 5 5 6 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 11 11 10 9 7 6 5 6 6 7 nan
nan 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 6 6 5 6 6 7 7 8 8 9 9 9 8 8 9 10 10 10 8 7 7 7 8 9 9 9 8 7 7 7 8 9 10 11 12 12 12 12 12 11 10 10 10 10 9 9 8 7 6 5 6 7 9 10 11 11 11 11 11 10 9 8 8 8 8 10 11 11 9 7 7 7 8 9 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 9 9 9 9 10 10 10 10 9 8 8 9 9 9 9 9 8 8 7 7 8 8 8 9 9 9 8 8 8 7 5 5 6 8 9 9 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 10 11 11 10 9 8 6 5 5 5 6 nan
nan 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 9 9 10 11 10 9 8 8 7 7 8 9 9 7 6 5 6 8 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 8 7 6 6 7 9 10 11 11 11 10 10 10 9 8 8 8 8 9 10 10 9 8 8 8 9 9 10 10 9 10 10 10 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 10 10 9 9 9 10 10 11 10 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 10 10 9 9 9 9 8 6 6 6 8 9 10 10 10 9 9 8 8 8 9 9 9 9 9 10 10 9 9 10 10 11 11 11 10 9 8 7 6 5 5 nan
nan 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 11 10 10 9 8 8 8 9 9 9 8 6 5 5 7 9 10 10 9 8 8 9 9 10 10 10 11 11 11 11 11 10 9 8 8 7 8 9 10 10 11 10 10 9 8 8 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 9 9 10 9 9 9 8 8 9 9 9 9 9 10 10 9 9 10 10 9 7 7 8 9 9 10 10 9 9 9 8 8 9 9 9 9 9 9 9 10 10 9 10 10 10 11 11 11 10 9 8 7 7 7 nan
nan 10 9 9 9 9 8 8 9 9 9 9 9 8 8 8 7 7 6 6 6 6 6 6 7 7 7 7 8 8 9 9 8 8 8 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 9 8 7 6 8 9 9 8 8 7 7 8 8 8 9 9 10 11 11 12 12 12 11 10 9 8 8 9 10 11 10 9 8 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 10 10 10 10 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 9 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 11 12 11 10 9 9 9 9 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 6 6 6 6 6 6 7 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 9 10 10 11 12 12 11 10 8 7 8 8 8 7 7 7 8 8 8 8 8 9 9 10 11 12 13 13 13 12 10 10 9 10 10 10 9 8 7 7 8 9 9 10 10 10 10 10 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 9 10 10 10 9 8 8 8 8 9 10 10 9 9 8 8 9 9 9 9 10 9 9 9 9 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 9 10 10 10 11 12 12 11 10 10 10 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 6 6 7 7 8 9 9 9 10 10 9 9 9 9 10 11 11 11 10 9 9 8 7 7 7 8 9 10 11 13 13 12 9 8 7 8 8 7 7 8 8 8 8 8 8 8 8 8 9 11 12 13 13 13 12 11 11 11 11 10 10 9 9 8 9 9 9 10 11 11 11 10 9 9 10 10 10 10 10 10 10 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 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 11 11 11 11 12 12 11 11 11 12 12 nan
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nan 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 9 9 8 8 8 8 8 8 9 10 11 11 10 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 9 9 9 8 8 9 9 10 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 5 3 2 2 4 6 7 7 7 7 7 8 10 13 13 12 10 9 10 10 10 8 8 8 8 8 8 8 9 10 10 10 9 7 8 8 9 11 12 12 12 12 11 10 10 9 8 6 5 5 7 8 9 10 11 12 13 12 10 9 8 8 8 8 8 8 7 8 8 9 10 10 nan
nan 11 11 11 11 11 10 10 10 10 11 11 11 11 10 9 9 9 8 8 8 8 9 9 9 10 11 12 12 11 10 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 8 8 8 9 10 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 6 3 1 1 2 4 5 6 7 7 8 9 12 15 15 14 11 10 10 10 10 9 9 9 9 9 9 8 8 9 10 9 8 7 6 6 6 8 10 11 12 13 12 10 10 9 7 5 5 6 7 8 9 9 11 12 12 11 10 9 9 9 9 8 8 7 7 7 8 10 11 12 nan
nan 10 10 10 10 9 9 8 9 10 11 12 12 11 10 9 8 8 8 8 8 9 9 9 10 10 11 12 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 10 10 11 11 10 9 9 8 8 9 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 5 2 0 1 3 4 5 6 7 8 9 12 15 16 15 13 10 10 9 9 8 8 9 10 10 10 9 8 8 9 10 9 8 6 4 3 5 7 9 12 13 12 10 9 9 7 5 5 6 7 8 9 9 11 12 12 12 11 10 10 10 10 9 9 8 8 8 9 11 13 13 nan
nan 10 9 9 8 8 7 7 8 10 12 12 11 10 9 9 8 8 8 8 8 8 8 9 10 11 11 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 11 11 11 11 10 9 8 8 9 10 11 11 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 6 3 1 1 2 3 5 6 7 7 8 10 13 16 16 13 10 9 9 9 8 8 9 10 11 12 11 10 9 10 11 11 9 7 5 3 4 5 6 9 11 10 10 9 9 8 7 7 7 8 8 8 10 11 12 13 14 13 13 12 12 11 10 10 10 9 9 10 12 13 14 nan
nan 10 9 9 8 8 7 8 9 11 13 13 11 9 8 8 8 8 8 8 7 7 8 9 10 11 11 11 11 12 12 11 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 11 11 12 12 12 11 9 8 8 9 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 6 6 7 7 7 7 7 7 7 7 6 6 6 8 8 8 8 8 8 8 8 8 5 3 2 2 3 5 6 7 7 7 8 11 15 16 14 11 10 9 9 9 8 9 10 11 12 12 11 11 11 11 11 10 9 7 5 4 4 5 7 9 9 9 9 8 8 7 7 7 8 8 8 9 11 13 15 15 15 14 14 13 12 11 11 10 9 9 10 12 13 12 nan
nan 10 10 9 9 10 9 10 10 12 13 13 11 9 8 8 7 8 8 8 7 8 8 9 10 11 11 11 12 12 12 10 9 8 8 8 8 8 8 8 8 7 6 6 6 7 8 9 10 10 11 12 12 12 11 9 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 6 5 4 3 3 3 4 4 5 4 4 4 5 5 5 4 4 4 5 5 6 6 6 7 7 8 7 6 4 3 3 5 6 6 7 8 8 8 10 14 16 16 13 11 10 10 9 9 9 10 12 12 12 12 11 11 11 11 10 10 9 8 7 6 5 6 6 7 7 7 7 7 7 7 7 7 8 8 9 10 13 15 16 15 14 13 12 11 11 10 10 9 9 10 11 11 9 nan
nan 10 10 10 11 11 11 11 11 12 12 12 10 8 8 8 8 8 8 8 7 7 8 10 10 11 10 11 12 12 12 10 8 8 8 8 7 8 8 8 7 6 6 5 6 7 8 9 9 9 10 11 11 11 10 9 8 8 8 8 8 8 9 9 9 10 10 9 9 9 8 8 8 8 8 7 7 7 6 6 7 7 8 8 9 8 8 7 6 5 4 3 2 2 3 5 6 6 5 4 4 5 6 6 6 5 5 4 4 4 4 5 6 7 8 8 7 6 5 5 7 8 8 8 8 8 8 9 13 16 17 15 12 11 10 10 9 10 10 12 12 12 12 11 11 11 11 11 11 11 11 10 9 7 6 5 4 5 6 6 6 7 7 7 7 8 8 8 9 11 13 14 14 13 12 11 11 11 10 10 9 9 9 8 7 6 nan
nan 10 10 11 11 10 10 10 11 11 10 9 9 9 9 10 9 9 8 7 7 7 8 9 10 10 10 11 12 12 11 9 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 8 8 9 9 9 10 10 10 9 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 6 6 6 6 6 7 8 9 9 9 8 8 8 8 9 9 9 8 8 7 6 6 6 7 8 10 10 10 9 8 8 8 9 9 8 8 8 7 7 8 11 15 17 16 13 11 10 10 10 10 10 11 12 12 12 11 11 10 10 11 11 11 11 11 11 9 7 4 2 3 5 5 6 6 7 7 8 8 8 8 9 10 11 11 12 12 12 12 11 11 10 9 8 6 4 2 3 5 nan
nan 10 10 10 9 9 9 9 10 10 9 8 8 9 11 12 11 9 8 7 6 6 8 9 10 11 11 12 13 12 11 9 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 6 5 6 6 6 7 7 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 8 9 9 10 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 12 10 8 8 8 8 7 7 7 7 7 9 13 16 16 13 11 10 10 10 10 10 10 11 11 12 11 11 10 10 10 10 10 10 10 11 10 8 4 1 1 3 4 5 5 6 7 8 8 8 8 8 8 8 9 10 11 12 12 10 8 7 6 4 2 0 1 4 7 nan
nan 11 10 9 8 8 8 10 11 10 9 8 8 9 10 12 11 10 8 7 6 7 8 10 11 12 13 13 12 11 9 9 8 8 8 8 8 7 7 6 6 7 8 8 9 9 9 10 10 11 11 11 10 10 9 9 9 8 8 7 6 5 5 5 5 6 6 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 9 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 9 9 10 11 12 12 12 12 12 13 14 15 15 14 11 8 6 6 6 6 6 6 6 7 8 12 15 15 14 11 9 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 7 3 1 1 2 3 4 5 6 7 8 8 9 9 8 8 7 8 9 11 12 11 8 4 3 3 3 3 4 6 9 11 nan
nan 11 10 9 8 8 8 11 12 11 9 8 8 8 9 10 10 9 8 7 7 7 8 10 11 13 14 13 11 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 9 9 10 11 12 12 13 12 12 11 11 10 9 9 9 8 8 7 7 7 7 7 8 8 9 9 10 10 11 10 10 9 9 8 9 10 11 12 12 11 11 11 10 10 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 10 10 10 10 11 11 11 12 13 12 10 8 5 5 5 6 6 6 7 7 8 11 14 15 14 12 10 9 9 9 10 11 10 10 11 11 11 10 10 9 8 8 8 8 8 7 5 2 1 1 2 3 4 5 6 7 8 8 9 9 9 8 8 8 10 12 12 9 5 3 3 4 6 7 9 11 12 13 nan
nan 10 9 8 7 7 9 11 13 12 9 8 8 8 8 8 8 8 8 7 7 6 7 10 12 13 14 12 9 9 9 8 8 8 8 8 8 7 7 7 8 8 7 7 7 8 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 10 10 9 9 10 10 10 10 11 11 11 10 9 8 9 10 12 13 13 13 12 11 11 11 11 10 10 9 8 8 8 8 9 9 10 10 10 9 8 8 8 8 9 9 10 9 9 9 9 9 8 7 7 8 8 8 7 6 5 6 7 7 8 8 8 10 12 14 15 14 11 9 8 10 13 13 11 10 10 11 11 10 9 8 8 8 8 8 8 6 4 2 1 2 3 4 4 5 6 7 8 8 9 9 9 9 9 10 12 13 11 7 5 4 6 9 10 10 11 12 12 13 nan
nan 9 8 7 6 7 9 11 12 11 9 8 8 8 8 8 8 8 8 7 6 6 7 9 11 13 13 11 9 9 8 8 8 8 8 8 8 7 7 7 7 6 4 5 6 7 7 6 6 7 8 8 9 9 9 10 10 11 10 10 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 9 9 9 10 11 12 13 13 13 12 12 12 12 11 10 9 8 7 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 8 7 6 6 6 9 10 8 6 6 7 8 9 9 9 9 10 11 13 13 11 9 10 13 15 14 12 10 10 10 10 10 8 8 8 8 8 9 8 7 5 3 2 3 4 5 5 6 7 8 8 9 9 9 9 10 11 13 15 14 9 6 6 8 10 11 12 12 12 12 13 14 nan
nan 8 8 7 6 6 7 9 11 11 10 9 8 8 8 8 8 8 8 8 6 6 7 9 11 11 12 11 10 9 8 8 8 7 7 7 8 8 8 7 5 3 3 4 5 6 6 5 6 6 7 7 7 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 8 8 8 8 8 8 8 8 9 10 11 11 12 12 12 12 12 12 12 12 11 11 10 8 7 7 7 8 9 9 10 10 10 10 10 11 11 11 11 10 9 8 8 8 8 9 9 9 8 6 6 8 10 10 8 6 7 8 9 9 9 9 9 10 11 12 11 10 11 14 15 14 11 10 9 10 10 9 8 8 8 9 9 9 8 7 5 3 3 4 5 6 7 8 8 9 9 9 10 10 10 12 14 15 15 12 8 7 9 11 12 12 12 12 12 13 15 16 nan
nan 10 9 8 7 6 6 7 9 11 11 11 10 9 9 9 9 9 9 9 8 7 8 9 10 10 10 10 10 9 8 8 7 7 7 7 8 9 8 6 3 2 2 4 6 7 7 7 8 8 9 9 8 7 7 7 6 7 7 7 7 7 8 8 8 8 8 7 6 7 7 8 8 8 8 8 9 10 10 10 10 10 11 11 11 11 11 11 12 12 11 9 8 8 8 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 8 8 8 9 9 10 9 6 5 7 9 10 9 8 7 8 9 9 9 9 9 9 10 10 10 10 12 14 14 12 11 10 10 10 10 9 9 9 10 10 9 8 6 5 3 2 3 4 6 8 9 10 10 10 10 11 11 11 12 13 14 15 13 9 8 9 11 12 12 13 12 12 13 14 16 16 nan
nan 11 11 10 8 7 6 6 7 10 12 12 11 10 10 9 9 9 10 10 9 9 9 10 10 9 9 10 10 9 9 8 8 6 6 6 7 9 8 6 4 3 3 4 6 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 11 11 12 13 12 11 10 9 9 9 10 10 10 9 9 8 8 9 10 11 10 10 9 9 9 9 9 9 9 10 9 7 6 6 7 8 9 8 8 8 8 8 8 9 9 9 9 9 10 10 11 12 12 12 12 12 11 11 11 11 11 11 10 9 7 4 2 2 2 3 5 7 9 10 11 11 12 12 12 12 13 13 14 14 14 13 10 9 9 11 12 13 13 13 13 13 15 17 18 17 nan
nan 10 11 10 9 8 7 7 7 9 12 12 11 11 10 10 10 9 10 10 9 9 9 10 9 8 8 10 11 10 9 8 7 6 6 6 8 9 8 7 6 4 4 6 7 9 10 10 10 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 11 10 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 11 10 10 10 10 10 10 10 10 9 9 9 10 11 10 10 9 9 9 9 9 9 10 10 10 9 8 7 6 5 7 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 12 13 14 13 12 11 10 9 8 7 5 3 2 2 3 5 7 8 10 11 12 12 12 12 12 13 14 16 16 16 15 14 13 11 11 12 12 12 12 13 13 14 16 19 20 20 17 nan
nan 10 10 10 10 9 9 8 8 9 11 11 11 11 10 10 10 10 10 9 8 8 9 10 9 9 9 10 11 10 8 7 6 6 6 7 9 9 9 8 7 6 7 8 10 11 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 12 12 12 12 12 13 14 14 13 12 11 10 9 9 9 9 9 9 8 8 8 9 10 10 11 11 11 11 11 10 9 9 10 10 11 11 10 10 10 11 10 10 10 9 9 9 9 9 9 10 10 10 11 10 9 6 4 5 7 8 8 8 8 8 8 9 9 9 9 9 9 8 9 9 11 13 14 13 11 8 6 5 4 4 3 3 3 5 7 9 10 11 11 12 12 12 12 13 14 16 18 20 19 17 16 15 14 13 12 12 12 12 13 14 15 18 20 21 20 17 14 nan
nan 10 10 10 10 10 9 9 9 10 11 12 11 11 10 9 9 9 9 8 8 8 9 10 10 9 9 10 11 10 8 7 6 7 8 10 11 10 10 9 8 8 9 11 12 13 13 13 12 12 11 11 11 11 10 10 10 10 11 11 12 12 12 12 12 12 11 11 11 11 12 12 13 13 12 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 10 10 10 11 10 10 10 11 11 10 10 10 9 9 9 10 9 9 10 10 11 11 11 9 6 4 5 6 6 7 8 8 8 7 8 9 9 9 9 9 8 8 9 10 11 11 11 9 6 4 4 4 4 5 5 7 8 10 11 12 12 12 12 13 14 15 16 18 20 21 21 18 15 14 13 12 11 12 12 13 13 14 16 18 20 20 18 15 12 11 nan
nan 9 9 9 9 9 9 9 9 10 11 11 11 11 9 8 8 8 8 8 8 8 10 10 10 10 9 9 9 9 8 7 7 9 11 12 12 12 11 10 10 10 11 13 13 13 13 12 12 11 11 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 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 10 10 10 11 11 11 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 8 6 6 6 6 6 8 7 7 6 7 9 9 9 9 9 9 9 9 9 10 11 11 10 7 6 6 7 8 8 9 11 13 14 14 14 13 13 14 16 17 17 18 19 18 17 15 12 10 9 8 9 11 12 14 15 15 17 19 20 18 16 13 11 10 10 nan
nan 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 7 8 8 8 8 9 10 10 10 9 8 8 8 8 8 8 9 10 12 13 13 13 12 12 12 12 13 13 13 13 13 12 12 11 10 10 10 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 7 6 7 8 7 6 5 8 10 11 11 10 9 10 10 11 12 13 13 14 12 11 10 10 10 11 12 13 15 16 16 14 13 12 13 14 15 14 13 13 13 11 9 8 8 9 9 9 12 14 16 16 17 18 19 19 18 16 13 11 10 10 10 nan
nan 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 9 8 7 7 7 7 7 8 9 11 12 13 13 12 12 12 12 13 13 13 13 12 12 12 11 11 10 10 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 10 10 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 11 10 10 11 11 11 11 11 11 11 11 11 11 10 9 9 9 8 8 8 8 7 8 8 8 7 7 10 12 12 12 10 10 11 12 13 14 14 14 14 12 12 12 12 12 13 14 15 14 13 11 9 8 9 11 12 11 10 10 10 9 9 10 12 14 16 15 15 17 17 17 18 18 18 17 16 15 13 11 11 10 10 10 nan
nan 11 11 12 11 11 10 10 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 9 8 8 8 8 7 7 8 9 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 10 11 11 11 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 11 10 8 7 7 7 7 7 8 9 9 10 10 9 10 11 11 11 10 10 9 10 11 12 12 12 11 10 10 10 10 10 11 13 13 12 10 8 7 8 9 12 14 15 15 14 14 13 14 15 18 20 21 20 18 16 16 15 15 15 15 14 13 12 12 11 11 11 11 10 9 nan
nan 12 13 13 13 12 11 10 9 9 8 8 8 8 8 8 9 10 10 11 10 10 10 9 9 8 9 9 9 8 8 8 9 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 7 7 7 7 8 10 11 11 11 10 10 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 9 10 10 10 10 11 11 12 12 12 13 12 11 9 7 6 6 6 7 7 8 9 10 11 10 10 10 9 8 8 9 9 8 9 9 9 9 9 9 9 9 10 10 10 11 13 13 11 9 10 12 14 16 18 20 20 19 18 17 17 18 20 21 21 20 17 14 13 12 12 12 12 12 11 11 11 11 11 11 11 10 10 8 nan
nan 12 13 14 13 12 11 10 9 8 8 8 8 8 8 8 9 10 11 11 11 10 10 9 8 8 9 9 9 9 8 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 9 8 7 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 11 11 11 12 12 12 11 9 7 6 6 6 6 6 7 7 9 10 10 9 9 8 8 9 9 10 9 9 9 8 8 9 9 9 9 10 11 11 13 13 13 12 12 13 15 16 18 19 19 19 17 16 15 15 15 16 16 15 14 13 12 12 12 11 11 11 11 11 11 11 12 12 11 11 10 9 8 nan
nan 11 12 13 13 12 11 9 9 8 8 8 8 8 8 9 10 10 11 11 11 11 10 9 9 9 9 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 10 10 11 11 11 10 9 9 8 9 9 9 9 10 9 9 9 10 10 10 10 9 9 9 10 10 10 9 8 8 8 8 7 8 8 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 9 7 5 4 4 4 4 5 7 8 9 9 9 9 9 10 10 10 10 10 9 9 9 8 7 6 7 9 11 13 14 13 12 11 12 12 13 13 14 14 14 13 12 11 11 12 12 12 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 9 9 nan
nan 11 12 12 12 11 10 9 8 8 8 8 8 9 9 9 10 11 11 12 11 11 10 10 9 9 9 9 9 9 10 10 11 11 11 10 9 9 10 10 9 9 10 10 10 11 11 10 9 9 10 10 10 10 10 10 10 10 9 9 10 11 11 12 12 11 11 10 10 9 9 9 8 8 8 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 9 8 7 7 8 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 10 10 11 11 11 10 7 4 2 2 3 4 5 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 6 3 4 6 10 13 15 14 12 10 10 10 11 11 11 11 11 11 10 10 10 11 10 10 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 nan
nan 12 12 12 12 11 10 9 8 8 8 8 9 9 9 10 11 11 12 12 12 11 11 11 10 10 9 9 9 9 10 10 11 11 11 10 10 9 10 10 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 10 10 11 11 11 10 10 9 9 9 8 8 7 7 7 8 9 11 12 12 12 11 10 10 10 10 10 10 11 11 10 8 7 7 8 9 10 11 11 10 9 9 9 9 9 10 10 10 10 10 9 8 9 9 10 10 10 8 5 2 2 3 5 6 7 8 8 8 8 8 8 8 7 6 5 5 6 7 7 6 3 2 4 8 13 16 16 14 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 11 11 10 10 10 10 10 11 11 nan
nan 12 12 12 12 12 11 11 10 9 9 8 9 9 10 10 11 12 12 12 12 12 11 11 11 11 10 9 9 10 10 11 11 12 11 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 7 7 7 8 10 11 13 13 13 12 11 10 10 10 10 10 10 9 8 8 7 8 8 9 10 10 10 9 9 8 9 9 9 10 10 11 11 10 8 6 6 7 7 7 6 5 3 3 4 6 7 8 8 8 8 8 8 8 8 8 7 6 5 5 6 6 6 5 3 4 8 12 17 19 18 15 12 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 nan
nan 12 12 12 12 11 11 11 11 11 10 10 10 10 11 11 12 12 13 13 12 12 11 12 11 10 9 9 9 10 10 11 12 12 11 10 9 9 10 10 10 9 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 10 11 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 10 11 11 9 6 5 4 4 4 3 3 3 4 5 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 9 13 17 20 20 17 14 11 10 10 11 11 11 11 11 11 10 9 9 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 13 13 12 12 11 11 11 10 9 9 9 10 11 12 12 11 10 10 9 9 10 10 10 10 9 9 9 9 8 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 10 11 11 9 7 6 6 5 5 4 5 5 6 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 13 16 18 19 16 14 12 10 10 11 11 12 12 11 10 9 9 8 9 9 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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