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