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 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 9 8 8 9 9 10 11 11 10 9 9 8 9 9 9 9 9 9 9 10 10 11 10 10 9 8 8 8 9 10 11 11 12 12 11 11 11 10 10 9 9 9 8 8 8 9 9 9 9 8 8 7 6 6 6 6 7 8 8 9 10 11 11 11 11 11 12 12 10 8 7 7 8 10 10 11 11 10 9 9 10 11 12 12 12 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 8 8 8 7 7 6 6 6 6 7 6 5 5 7 9 11 9 7 6 7 8 8 8 8 8 8 7 8 8 7 7 8 9 9 9 9 9 9 9 8 8 8 9 9 nan
nan 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 10 9 8 8 8 9 10 10 11 10 9 9 9 9 9 10 9 9 9 10 10 10 10 10 10 9 8 8 8 8 8 9 10 10 11 11 11 11 11 11 11 10 10 9 9 9 8 9 9 9 9 9 8 8 7 6 6 6 7 7 8 9 10 10 11 10 10 10 11 11 10 9 7 6 8 10 10 11 11 10 9 8 8 9 11 12 12 12 11 11 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 11 11 10 9 8 7 7 8 8 8 9 8 7 6 7 7 6 6 6 7 9 10 9 8 7 7 8 8 8 8 8 8 8 7 7 7 8 8 9 10 9 9 9 8 8 8 8 8 8 9 nan
nan 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 8 8 9 10 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 7 7 8 8 9 9 10 10 10 11 11 11 11 10 10 9 9 9 8 8 8 8 8 9 9 9 9 8 7 6 6 7 7 8 9 9 9 9 9 9 9 10 10 9 8 7 9 10 10 10 10 10 9 8 7 7 10 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 11 11 10 10 9 8 7 7 8 9 10 8 7 7 7 8 8 7 7 7 8 9 10 9 9 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 8 8 8 9 9 9 8 nan
nan 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 7 7 7 8 8 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 7 8 8 9 9 10 9 8 7 6 6 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 11 10 8 7 8 10 11 10 9 8 8 9 9 9 10 10 10 9 9 9 10 10 11 11 11 12 12 12 11 10 10 11 11 10 9 8 7 8 9 9 9 7 7 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 10 9 8 8 nan
nan 10 10 10 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 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 9 9 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 8 9 9 9 9 8 6 6 6 6 6 6 6 6 7 7 7 8 8 9 9 9 9 9 9 9 10 10 11 11 11 10 9 9 11 11 10 10 8 8 7 8 9 10 10 9 9 8 8 10 11 11 11 11 11 12 13 11 10 10 11 11 11 10 9 8 8 9 9 9 8 8 9 9 9 9 9 9 8 9 9 9 9 10 10 11 11 11 9 8 8 8 8 9 10 10 9 9 9 8 9 9 9 9 9 9 8 8 nan
nan 10 10 10 10 10 9 9 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 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 8 8 7 7 6 6 6 6 6 6 6 6 6 7 8 8 9 9 9 9 9 9 9 10 11 12 12 11 10 9 10 10 10 10 10 10 9 8 8 9 10 10 9 8 7 7 9 11 11 11 10 10 11 11 10 10 10 10 11 11 10 10 10 10 9 9 9 8 9 9 9 9 9 9 9 10 10 11 11 11 11 11 12 12 11 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 9 9 8 nan
nan 10 10 10 9 9 9 10 10 10 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 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 10 11 11 11 10 9 9 9 9 9 10 10 10 9 9 9 10 11 10 9 8 7 7 8 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 9 9 9 9 10 9 9 9 9 9 9 10 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 8 nan
nan 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 8 8 7 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 9 9 9 10 11 10 9 9 8 9 9 9 9 9 9 9 8 8 9 10 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 8 8 8 9 10 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 10 10 10 11 11 11 12 11 11 10 8 9 9 9 10 10 10 11 11 11 11 10 9 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 7 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 9 9 10 9 9 9 8 8 8 8 9 9 9 9 8 7 7 8 8 8 8 7 8 8 8 9 10 10 10 10 11 11 11 10 9 7 7 7 9 10 10 10 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 12 12 11 10 9 9 9 9 9 10 11 11 12 11 11 10 nan
nan 9 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 9 9 9 9 10 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 7 7 8 8 9 9 9 8 7 7 7 7 7 7 7 7 8 9 10 11 12 11 11 11 11 11 10 9 8 8 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 10 10 10 11 11 11 10 9 9 10 10 11 12 12 11 10 10 10 9 9 10 10 11 12 12 11 11 nan
nan 9 9 9 9 9 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 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 9 8 7 7 7 7 8 8 9 9 8 8 7 7 7 7 7 8 8 10 11 12 12 12 11 11 12 12 11 10 10 10 10 11 11 11 10 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 11 12 12 11 10 9 9 9 10 10 10 10 11 12 12 11 11 11 11 11 11 10 10 10 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 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 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 9 10 11 11 11 10 10 10 9 9 9 9 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 11 10 9 8 7 7 7 7 8 9 10 10 10 9 8 8 8 9 9 9 10 11 12 13 12 12 11 11 10 10 9 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 10 10 9 9 9 10 9 10 12 14 14 13 11 10 9 9 10 10 9 10 11 12 13 12 12 12 11 10 9 9 9 9 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 10 11 12 12 11 9 8 7 7 8 8 9 10 11 11 10 9 9 9 11 11 12 11 12 12 12 12 11 10 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 9 10 10 10 10 10 10 10 9 8 9 12 14 15 14 12 11 10 11 11 11 10 10 10 11 12 12 11 11 10 9 8 8 8 9 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 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 10 10 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 6 6 7 7 7 7 9 10 12 13 13 12 11 9 8 8 8 9 9 10 11 11 10 9 9 10 12 13 13 12 12 11 11 10 10 9 8 8 8 8 8 8 8 7 6 6 6 7 7 8 9 9 10 10 10 11 11 11 11 10 9 8 8 9 11 13 13 12 12 11 11 11 10 10 9 9 10 10 10 10 10 9 8 8 8 8 8 nan
nan 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 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 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 12 13 13 12 11 10 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 11 11 11 10 10 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 10 10 10 11 11 11 11 11 11 10 9 8 8 9 10 11 11 11 11 11 10 9 9 8 9 9 10 9 9 8 8 8 8 8 8 8 nan
nan 8 8 8 9 9 9 8 8 8 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 11 12 12 12 12 10 10 9 9 9 8 7 7 7 7 8 9 10 10 11 11 10 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 nan
nan 8 8 8 9 9 8 8 8 8 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 8 9 9 10 11 12 12 11 11 10 10 10 9 8 7 6 6 6 7 8 8 9 9 9 9 8 8 8 8 9 10 11 11 10 10 11 10 9 8 8 7 7 7 8 9 9 9 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 9 10 10 10 nan
nan 8 8 9 8 8 8 8 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 11 12 13 12 12 11 10 10 9 8 8 7 6 6 6 6 7 7 7 7 7 8 8 7 7 7 8 8 9 10 11 11 12 12 12 11 9 8 7 6 7 8 8 8 9 9 9 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 9 8 9 9 9 9 9 9 9 10 10 10 9 9 8 9 9 10 10 11 nan
nan 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 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 10 10 10 10 10 10 10 9 9 8 8 10 11 12 11 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 10 10 10 11 14 15 14 13 11 9 8 6 6 5 5 5 5 5 6 6 5 5 5 6 7 8 7 7 7 7 8 8 9 10 11 12 12 11 11 10 9 8 8 9 9 9 9 9 9 9 9 9 9 8 9 9 9 8 7 7 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 nan
nan 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 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 10 10 10 11 11 10 10 9 9 8 9 10 12 14 15 13 9 6 5 5 6 7 8 8 8 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 11 14 15 15 13 10 7 6 5 4 4 4 4 4 5 5 5 4 3 3 4 6 6 6 6 6 6 7 7 8 8 9 11 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 8 7 7 7 8 7 7 8 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 nan
nan 8 8 8 8 8 8 9 9 10 11 11 10 10 9 9 10 10 10 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 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 11 11 11 10 9 9 10 10 11 13 15 17 16 13 10 6 5 4 5 6 7 8 8 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 11 13 15 15 14 10 7 6 5 4 4 4 4 4 4 5 5 4 4 3 4 4 4 4 4 4 4 5 7 7 7 7 9 10 10 10 10 10 10 11 12 12 12 12 11 10 10 10 11 10 10 8 7 7 7 7 7 8 8 9 10 11 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 10 nan
nan 8 8 8 8 8 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 11 12 12 12 12 11 10 10 11 12 14 16 19 20 19 16 12 9 7 5 5 6 7 8 9 10 10 10 11 11 10 10 9 9 10 10 10 9 9 10 10 11 11 11 11 11 11 11 12 14 14 13 11 9 8 7 7 7 7 6 6 5 5 5 5 5 5 4 4 3 2 2 2 3 5 6 5 4 5 6 8 10 10 10 10 10 11 12 13 12 12 11 10 10 10 10 10 8 7 7 7 7 8 8 9 10 11 12 11 10 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 10 nan
nan 8 8 8 9 9 10 10 11 12 12 11 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 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 11 12 13 14 13 12 11 11 11 12 12 14 18 23 25 24 21 17 14 11 9 7 7 7 8 9 10 10 10 10 11 10 10 9 10 10 10 10 9 9 9 10 10 11 12 12 11 11 11 11 12 12 12 11 10 10 10 11 12 12 11 9 8 7 7 6 6 6 5 5 4 3 3 3 4 5 4 3 2 2 3 5 7 8 9 9 10 11 12 12 11 11 10 9 9 9 9 9 8 8 9 9 9 9 9 10 11 11 11 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 8 8 9 9 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 11 12 13 14 14 13 12 11 11 11 11 11 11 13 19 25 28 28 26 22 19 16 13 10 8 8 9 10 10 10 10 11 11 10 9 9 9 10 10 10 9 9 9 9 10 11 12 12 11 11 10 10 10 10 10 10 10 10 10 11 12 13 14 14 13 12 10 8 7 6 6 6 6 5 5 6 6 5 4 2 1 1 2 2 3 5 6 8 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 10 10 10 10 10 10 9 9 8 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 9 8 nan
nan 8 8 9 9 10 11 11 11 11 11 11 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 9 9 10 10 10 10 10 10 10 10 10 11 12 13 14 15 14 13 12 11 10 10 10 10 10 11 14 20 25 28 29 27 24 22 19 16 13 11 10 11 11 11 11 11 11 11 10 9 9 9 10 10 9 9 9 9 9 10 11 11 11 11 11 10 10 10 10 10 11 11 11 10 9 10 11 13 15 16 16 15 13 10 8 8 7 7 7 7 7 7 6 4 3 3 3 3 2 2 2 2 4 5 7 9 10 10 10 11 10 10 10 10 9 9 9 9 8 8 8 9 9 8 8 9 9 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 nan
nan 8 9 9 10 10 11 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 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 12 13 14 15 16 16 15 13 12 11 10 9 9 9 9 10 13 18 22 25 26 24 23 21 19 17 14 12 12 12 12 12 12 12 11 11 10 10 10 10 10 9 9 8 8 8 9 10 10 11 11 11 11 11 11 11 11 11 12 14 14 12 10 9 9 10 13 15 16 17 17 15 12 11 10 9 8 8 8 7 7 6 6 6 6 6 4 3 1 0 1 2 4 6 8 9 9 9 9 10 11 10 9 9 9 8 7 8 8 9 9 8 9 9 9 10 10 10 11 11 11 11 12 12 12 11 11 11 11 10 9 8 7 7 8 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 12 12 12 13 14 15 15 16 16 17 17 16 15 13 11 9 8 8 8 7 7 9 12 16 19 20 19 19 17 15 14 13 12 12 11 11 11 12 12 11 10 10 10 10 11 10 9 8 8 8 9 10 10 11 11 11 11 11 11 12 12 11 12 14 16 17 15 13 11 10 10 11 12 14 15 17 18 17 16 15 14 13 12 11 10 9 9 10 10 9 8 7 5 3 2 1 0 1 2 4 5 6 6 7 8 10 10 9 10 9 8 8 9 10 11 11 11 11 11 10 10 11 11 12 12 12 12 12 12 11 11 10 10 9 8 7 7 7 7 7 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 12 12 13 13 13 13 13 13 14 14 15 17 17 18 18 18 17 16 14 12 9 8 8 8 8 7 6 6 8 11 13 14 14 14 13 12 12 12 11 11 11 10 11 11 11 11 10 9 10 10 10 10 9 9 8 9 9 10 11 12 12 11 11 12 12 12 12 11 12 14 15 15 14 13 12 12 11 11 12 12 12 13 15 17 19 19 18 17 17 16 13 11 12 13 14 13 11 9 8 7 5 3 1 -1 -2 -1 2 4 5 5 6 8 9 10 11 10 9 9 10 12 13 13 12 12 12 11 11 11 12 12 12 11 10 9 8 8 8 8 7 6 6 6 7 8 8 8 nan
nan 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 11 12 13 13 14 14 15 15 14 14 14 14 15 16 18 19 19 18 17 15 13 11 9 8 8 8 8 8 6 6 6 8 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 12 13 13 12 12 12 12 12 11 10 11 12 12 12 12 12 13 13 13 12 12 11 10 11 13 15 17 18 18 17 17 16 13 12 12 14 16 16 15 13 12 11 10 8 5 1 -1 -1 1 4 6 6 6 7 7 9 10 9 7 7 9 11 13 12 12 12 11 11 11 11 12 11 10 8 7 6 6 7 7 6 5 5 5 6 8 8 8 8 nan
nan 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 13 14 15 15 14 14 14 14 13 13 13 14 14 16 17 17 16 15 13 12 10 9 9 8 8 8 8 7 5 5 6 7 8 9 8 8 9 9 10 10 10 11 11 11 11 11 10 9 9 9 9 9 10 9 10 10 9 9 9 10 12 14 14 13 13 12 12 12 11 10 10 9 9 10 10 11 12 13 14 14 13 13 12 12 12 13 13 14 14 14 14 14 14 11 10 10 11 14 15 16 15 14 14 14 13 11 8 5 4 5 7 8 8 8 7 7 8 8 8 7 7 9 11 12 12 11 11 10 10 11 11 10 9 8 7 5 5 7 8 8 7 6 7 8 9 9 9 9 9 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 14 15 14 14 13 13 12 12 12 12 13 14 14 15 14 13 12 10 10 9 9 9 9 9 8 8 7 6 5 4 5 6 8 8 9 9 9 10 10 11 11 12 13 13 12 12 11 9 9 9 9 10 10 10 10 10 10 11 11 13 14 14 14 13 12 12 11 11 11 10 9 8 8 9 10 11 12 13 15 16 16 15 15 14 14 14 13 13 12 12 12 13 13 11 10 10 10 12 13 13 14 14 14 14 14 14 12 10 9 8 9 9 9 9 8 7 8 9 9 10 10 11 11 12 11 11 11 10 10 10 9 8 7 6 6 6 6 7 8 8 8 8 10 11 11 11 11 12 13 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 11 11 11 12 13 13 13 13 13 13 13 12 12 11 11 11 12 13 13 14 14 14 12 10 9 8 8 8 9 9 9 8 8 8 7 7 6 5 6 7 8 9 9 9 10 10 12 13 14 15 15 14 13 12 11 10 9 9 9 10 10 9 9 10 11 13 14 15 15 14 12 11 11 10 10 10 10 9 8 8 8 9 9 10 11 13 15 17 18 18 18 17 16 15 13 12 11 11 12 12 12 11 11 11 12 12 13 13 13 14 14 14 14 13 13 12 11 10 10 10 10 10 10 9 10 10 11 10 10 10 10 10 10 10 10 9 9 8 7 6 5 5 6 7 7 8 9 9 9 10 11 12 13 13 13 14 15 nan
nan 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 10 10 10 11 11 11 12 12 13 13 12 11 11 11 11 11 11 11 12 12 12 12 13 13 14 13 11 10 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 10 10 11 13 15 17 18 18 16 14 12 11 10 9 9 9 10 9 9 9 11 13 15 15 15 14 12 11 10 10 9 9 9 8 8 8 8 8 9 9 9 10 11 13 16 17 18 18 18 17 15 13 11 11 11 11 11 11 10 10 11 12 13 14 15 17 18 18 19 18 17 15 15 14 13 12 12 12 12 12 12 11 10 8 7 6 6 7 7 7 6 5 5 5 7 7 6 6 6 7 8 9 9 10 10 11 12 12 13 13 13 13 13 14 nan
nan 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 11 11 11 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 13 12 11 10 8 7 7 7 8 8 7 7 7 7 7 7 5 5 6 7 8 8 8 9 10 11 14 16 18 20 19 16 14 12 11 11 11 11 11 11 11 11 11 13 14 15 14 13 11 10 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 9 11 12 13 15 16 17 17 15 13 11 10 10 10 10 10 11 12 13 14 15 16 17 19 21 22 24 23 21 19 18 18 17 16 16 15 14 14 12 10 7 4 3 3 4 5 5 4 3 1 1 2 5 7 8 8 8 9 9 10 10 10 10 11 11 12 12 11 11 11 12 13 nan
nan 7 8 8 8 9 9 10 10 10 10 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 11 11 10 10 10 10 10 10 11 11 11 11 10 10 11 11 12 13 13 12 11 9 8 7 7 7 8 8 8 7 7 7 7 5 3 3 4 6 7 7 8 8 9 11 13 16 19 20 19 16 13 12 13 14 14 14 13 13 13 14 15 16 16 15 13 11 10 9 8 9 9 9 9 8 8 8 8 9 9 9 8 7 7 8 9 10 10 12 14 16 16 16 14 12 10 9 9 9 10 11 13 14 15 15 15 15 16 18 20 21 21 20 19 19 18 18 17 16 15 14 12 10 7 5 4 4 5 6 7 7 7 5 4 3 4 6 7 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 nan
nan 8 8 8 8 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 10 10 10 9 9 10 11 12 13 13 12 10 9 8 7 8 8 9 9 9 8 8 7 7 5 3 2 2 4 6 7 7 7 8 10 12 15 18 20 18 15 13 13 15 15 15 15 15 16 17 18 19 19 18 15 14 12 10 8 8 9 10 11 10 10 9 9 9 10 9 9 7 6 5 6 7 8 9 11 13 15 16 16 15 13 11 10 9 9 10 11 12 12 12 12 11 11 12 12 13 13 13 13 14 15 15 14 13 13 12 10 9 8 7 6 7 8 9 10 11 11 12 11 11 10 10 10 9 9 8 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 nan
nan 8 8 8 8 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 10 10 11 11 11 10 10 9 8 8 9 11 12 13 13 11 10 9 9 8 8 9 9 9 8 8 7 7 7 6 4 2 1 2 5 6 6 7 7 9 11 14 18 20 18 15 14 14 14 14 13 14 15 16 18 19 19 19 18 16 15 13 11 9 10 11 12 13 13 13 12 11 10 10 10 9 7 4 3 3 5 7 8 10 11 13 15 15 14 13 12 10 9 9 10 10 9 9 7 7 7 8 9 10 10 9 8 8 7 8 8 9 9 10 9 8 8 8 8 8 9 10 11 11 12 13 14 14 14 14 15 16 15 14 13 12 9 7 7 7 8 9 9 9 9 8 8 8 9 9 9 nan
nan 9 8 8 8 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 10 11 12 12 11 10 9 8 8 8 9 10 11 12 11 10 10 10 9 9 9 9 9 8 7 6 6 6 7 6 5 3 1 1 3 5 6 6 7 8 10 12 17 20 19 17 14 13 12 12 12 12 14 15 15 15 15 14 14 14 15 14 12 11 10 11 11 13 15 15 16 14 12 11 10 9 7 5 3 4 5 6 7 9 10 12 13 13 12 12 11 11 10 10 10 9 8 7 5 5 7 8 9 9 9 8 7 6 4 3 4 5 7 8 8 8 7 8 8 9 10 10 11 11 11 13 13 13 12 13 16 19 21 21 18 14 9 6 6 6 7 8 9 9 9 8 8 8 9 9 8 nan
nan 9 9 8 8 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 10 11 12 12 12 11 10 9 8 8 9 10 11 11 10 9 9 9 9 9 9 9 9 8 7 7 7 7 6 5 5 4 3 1 1 3 5 6 6 7 8 9 11 15 19 20 19 16 13 12 11 12 12 13 12 11 11 10 10 10 11 12 12 11 10 9 8 8 10 13 15 17 16 14 13 11 10 9 7 6 6 7 7 8 9 10 11 12 12 11 11 11 11 10 10 10 9 8 7 6 6 8 9 9 8 8 8 8 7 5 3 3 4 6 7 7 6 6 7 7 8 9 10 10 10 11 12 12 10 8 10 13 18 22 23 21 15 9 6 6 6 7 9 9 9 9 8 8 8 9 9 9 nan
nan 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 10 11 12 12 12 11 9 9 9 9 11 11 12 11 10 8 8 8 8 8 8 8 9 9 9 9 9 8 7 5 5 5 4 2 1 2 4 6 7 7 8 9 10 14 18 20 20 17 13 13 12 12 12 10 9 9 8 8 8 9 9 9 9 8 8 7 6 6 7 9 11 13 14 14 14 13 11 10 9 9 9 10 10 10 10 10 11 11 11 11 10 10 11 11 11 11 10 9 9 8 9 10 10 9 8 8 8 8 7 6 6 6 6 6 6 6 6 6 7 7 8 9 10 10 10 11 12 11 9 7 8 11 16 22 24 23 17 12 9 7 7 9 10 10 10 9 9 9 9 9 9 9 nan
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nan 12 13 13 13 12 11 10 10 10 10 10 11 11 12 13 14 14 12 9 7 7 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 9 9 9 9 9 9 9 10 11 10 9 9 10 11 13 13 12 10 9 9 10 11 10 9 8 8 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 11 11 11 12 12 13 13 14 14 13 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 8 9 9 10 11 11 10 10 9 9 9 9 10 10 11 11 12 12 12 11 10 nan
nan 15 16 16 16 14 12 10 9 9 9 10 10 10 12 12 13 12 9 7 7 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 11 11 12 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 10 10 10 10 10 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 11 11 11 11 11 11 12 13 13 13 13 13 13 12 12 11 11 10 10 10 9 8 9 9 9 9 9 8 8 9 9 10 11 11 11 10 10 9 10 10 10 10 10 11 11 11 10 10 10 10 nan
nan 16 18 19 19 17 14 11 10 9 8 9 9 10 11 11 12 10 9 8 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 11 12 12 12 12 12 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 10 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 13 14 13 12 11 10 10 10 9 9 9 9 10 10 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 nan
nan 16 18 20 21 18 13 10 7 6 7 8 9 10 10 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 11 12 13 14 13 11 11 11 10 10 10 10 11 10 10 10 9 10 10 10 11 11 10 9 9 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 nan
nan 15 18 20 20 16 11 7 5 5 7 8 9 9 10 11 11 11 10 10 10 9 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 11 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 11 11 11 11 11 10 10 9 9 10 11 12 12 13 12 12 12 10 9 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 12 11 11 11 11 11 11 nan
nan 15 17 19 18 15 10 8 6 7 8 8 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 11 12 13 13 13 12 10 9 8 9 9 10 10 9 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 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 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 9 8 9 9 9 9 9 9 9 9 10 11 11 12 12 12 11 9 9 10 10 10 10 10 10 10 10 10 9 8 8 8 9 10 11 11 12 12 11 11 11 11 11 11 11 11 11 12 12 nan
nan 15 17 18 17 16 14 11 9 7 6 7 8 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 13 15 16 17 17 15 11 7 4 4 5 8 10 10 10 10 11 12 12 13 13 13 13 13 13 12 12 12 12 12 11 11 11 10 11 11 11 12 12 12 12 12 12 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 11 11 11 11 11 11 11 10 9 7 6 7 8 8 7 7 7 8 9 10 11 11 12 12 12 11 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 10 11 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 nan
nan 15 15 16 17 17 16 13 10 6 5 6 7 10 11 11 11 11 11 10 10 10 11 10 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 13 16 20 22 22 20 14 8 3 -1 -2 1 6 9 10 11 12 13 14 14 14 14 14 13 13 13 13 13 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 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 11 11 11 11 11 11 11 10 9 8 8 7 8 8 8 7 7 7 9 10 10 11 12 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 11 nan
nan 15 15 16 16 16 14 11 9 7 6 7 9 10 11 11 11 11 10 10 10 11 11 11 11 11 11 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 12 15 19 24 27 26 21 14 8 2 -3 -5 -2 3 7 10 11 12 13 14 14 14 14 14 14 13 13 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 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 11 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 9 10 11 11 11 11 12 11 11 10 9 8 8 8 9 9 8 9 9 10 10 11 11 11 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 nan
nan 14 14 14 14 14 12 10 9 9 9 9 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 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 11 12 15 19 24 28 28 25 17 11 5 -2 -4 -1 2 7 10 11 12 13 13 14 14 14 13 13 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 11 11 10 10 11 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 12 13 13 13 12 11 11 10 10 9 8 8 8 8 8 8 9 9 10 11 11 12 11 11 11 11 11 11 11 11 11 11 12 12 12 11 12 12 12 11 11 11 nan
nan 14 14 14 14 13 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 11 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 11 12 14 17 22 27 29 27 21 14 7 1 -1 1 4 7 10 11 12 12 12 12 13 13 13 12 12 11 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 10 11 12 13 15 15 15 13 12 11 10 9 9 9 8 8 9 9 9 9 10 11 11 11 11 11 10 10 10 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 14 14 14 13 13 12 11 11 11 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 11 11 11 11 10 11 11 11 11 11 10 10 10 10 10 11 13 15 20 24 26 24 20 14 7 3 3 3 5 8 10 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 11 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 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 11 13 14 15 15 14 13 11 10 10 9 9 8 8 9 9 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 nan
nan 14 14 14 13 13 13 12 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 12 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 11 10 10 10 10 11 11 12 14 17 19 19 17 14 9 6 5 5 6 7 9 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 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 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 13 14 15 15 14 12 11 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 10 10 10 10 9 9 9 9 nan
nan 12 13 13 13 13 13 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 12 13 14 13 12 9 8 7 8 8 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 8 7 7 8 8 8 8 8 9 10 10 12 13 14 15 16 16 15 13 12 10 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 9 9 9 8 9 9 9 9 9 9 nan
nan 11 11 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 13 14 13 13 12 11 10 9 9 9 10 11 11 11 11 11 11 11 10 10 10 10 10 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 8 8 8 9 10 10 10 10 11 12 14 15 17 17 17 17 16 14 12 11 10 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 nan
nan 11 11 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 13 14 14 13 12 11 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 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 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 9 8 7 7 8 10 11 12 12 12 13 14 16 18 19 19 19 17 15 14 12 11 10 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 9 9 10 9 9 9 9 9 nan
nan 12 12 11 10 10 10 10 11 11 11 11 10 10 11 11 12 12 13 13 13 12 11 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 11 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 9 9 8 7 7 7 9 11 12 12 13 15 16 18 19 20 20 19 17 15 14 12 11 10 9 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 10 10 10 11 11 11 12 11 11 10 9 10 10 nan
nan 13 12 11 10 10 10 10 10 11 11 10 10 10 10 11 12 12 13 13 12 12 11 10 10 10 10 10 10 10 11 11 11 11 10 11 11 11 11 10 11 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 11 10 10 10 10 9 9 10 10 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 9 9 8 8 7 7 8 9 11 12 13 14 15 17 19 20 20 19 17 15 14 13 12 11 10 9 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 10 10 11 11 12 12 13 13 13 13 12 11 10 10 10 nan
nan 14 13 12 11 11 10 10 10 11 11 10 10 10 10 10 11 12 13 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 13 13 13 12 12 12 12 12 12 12 11 11 10 10 10 9 8 8 8 7 8 10 11 13 14 15 17 18 19 19 18 17 15 13 12 11 10 10 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 10 11 11 12 12 12 13 13 12 12 11 10 10 10 10 9 nan
nan 16 14 13 12 11 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 11 11 11 11 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 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 12 13 12 12 12 12 11 11 11 11 10 10 9 9 9 9 10 11 13 15 17 18 19 19 19 18 15 13 12 10 10 10 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 10 11 12 12 12 13 13 13 12 11 10 9 7 7 7 8 9 10 nan
nan 18 16 14 13 12 11 10 10 10 10 10 11 11 11 11 12 12 12 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 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 10 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 14 14 13 13 12 12 12 12 12 12 11 11 11 10 11 12 13 15 17 18 18 18 17 16 14 12 11 10 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 10 11 12 12 12 13 13 13 12 12 11 10 9 9 8 9 9 10 11 nan
nan 19 17 16 15 13 11 10 10 10 10 10 11 11 12 12 12 12 12 11 10 10 10 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 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 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 14 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 13 15 16 17 17 16 15 13 12 11 11 10 9 8 8 8 8 8 9 10 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 11 11 12 12 12 12 12 12 13 13 13 13 14 14 14 14 14 14 14 nan
nan 19 18 17 16 14 12 11 10 10 10 10 11 11 12 13 13 13 12 11 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 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 12 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 12 12 13 13 13 13 12 11 11 11 11 12 12 12 12 12 12 12 12 13 14 16 16 16 16 15 13 12 11 10 9 9 8 7 6 7 7 8 9 10 11 12 13 12 12 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 12 12 12 12 12 13 13 13 14 15 16 16 16 16 15 15 nan
nan 16 17 17 17 15 13 11 10 9 10 10 10 11 12 12 13 13 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 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 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 12 11 10 9 9 9 10 10 11 11 11 10 10 11 12 13 14 15 16 15 15 14 13 12 11 10 8 7 6 5 5 4 5 7 8 8 10 11 12 13 13 12 10 9 9 10 9 9 8 8 8 9 9 10 10 10 10 11 11 11 11 12 12 12 12 12 11 11 11 12 13 13 14 14 14 13 12 nan
nan 14 14 15 16 16 14 13 11 10 9 10 10 11 11 12 12 12 12 11 11 10 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 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 12 12 12 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 10 10 10 11 11 11 12 11 10 9 9 9 9 9 9 10 9 9 9 10 10 12 13 14 15 15 14 14 13 12 11 9 8 6 6 5 4 4 4 4 6 7 8 9 10 11 11 11 10 9 9 9 9 9 8 7 7 8 9 10 10 10 10 10 10 10 10 11 12 12 12 12 11 10 10 10 10 11 12 12 12 11 10 9 nan
nan 14 13 13 14 15 15 14 12 11 10 10 10 11 11 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 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 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 10 10 10 10 11 11 12 12 12 12 11 11 11 11 10 10 9 9 9 8 9 9 10 12 14 15 15 14 13 13 12 11 10 8 6 6 6 6 6 4 3 4 4 6 7 8 9 9 9 8 8 8 8 9 9 8 7 7 7 8 9 10 11 11 10 10 11 11 12 13 13 13 13 12 12 11 10 10 11 11 11 11 9 8 7 6 nan
nan 14 13 12 12 13 13 14 13 13 12 11 11 11 12 12 12 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 10 11 10 11 11 11 11 11 11 11 10 10 10 10 11 11 12 12 13 13 12 12 13 13 13 12 11 10 10 9 9 9 10 11 13 14 15 14 13 12 11 10 9 7 6 5 5 6 7 7 6 6 5 5 6 6 6 6 7 7 8 8 8 9 9 8 7 6 7 8 10 11 12 12 12 12 12 13 14 15 15 15 14 13 13 12 11 11 10 11 11 11 10 9 8 8 7 nan
nan 16 14 12 12 11 12 12 13 13 12 11 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 10 10 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 10 10 11 12 13 13 13 11 10 8 7 6 5 5 5 6 6 7 8 9 9 8 7 5 4 3 4 6 7 8 9 9 9 8 7 7 7 9 11 12 13 13 13 12 13 13 14 15 15 15 14 13 12 12 11 11 10 10 9 10 10 11 11 12 11 11 nan
nan 16 15 14 13 12 12 12 13 13 12 11 10 10 11 12 12 12 12 12 11 11 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 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 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 11 11 12 13 14 14 12 11 10 10 10 11 12 11 10 9 7 6 6 5 5 6 6 7 8 8 9 10 9 7 4 2 2 2 5 7 8 8 9 9 9 8 8 9 10 12 13 13 14 13 13 12 12 13 13 14 13 13 12 11 11 11 11 11 11 10 9 10 11 12 13 13 12 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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