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