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 7 8 8 8 8 8 9 10 11 11 12 12 11 8 7 8 9 10 9 9 9 9 9 10 10 8 8 7 8 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 6 6 7 8 9 9 10 11 11 10 10 10 10 10 9 8 9 9 9 9 8 8 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 7 8 8 9 8 8 8 7 7 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 7 nan
nan 6 7 7 7 7 7 8 9 10 11 13 13 12 9 7 8 9 9 9 8 8 8 9 10 10 10 8 7 7 7 8 8 7 8 8 9 9 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 7 7 8 8 9 10 11 11 10 10 10 9 9 8 8 9 9 9 8 8 7 8 8 8 8 9 9 8 8 7 7 7 8 8 7 7 7 7 7 7 8 8 8 8 7 8 8 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 8 7 6 nan
nan 7 7 6 6 6 6 7 8 9 11 14 15 14 11 8 8 9 9 8 8 8 8 8 9 9 9 9 7 6 7 8 9 9 9 9 9 9 9 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 9 9 10 11 11 10 10 10 9 9 8 8 9 9 8 8 7 7 8 8 9 9 8 8 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 9 8 7 7 nan
nan 8 7 7 6 6 6 7 9 10 13 15 16 16 13 9 8 9 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 10 10 10 9 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 10 11 11 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 7 7 8 9 9 8 8 8 8 8 8 9 9 8 8 7 nan
nan 7 6 6 6 6 7 8 10 12 13 15 17 16 13 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 9 9 10 11 10 9 8 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 9 8 8 7 8 9 9 10 10 11 11 11 11 11 12 11 10 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 8 nan
nan 6 5 5 5 6 7 8 10 11 13 15 16 15 12 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 10 10 10 9 9 10 10 10 9 9 9 8 8 8 8 7 8 8 9 9 9 9 8 8 8 9 10 10 11 11 11 11 11 11 11 12 11 10 9 9 9 9 9 8 8 9 9 9 9 8 8 9 10 10 9 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 7 6 6 6 6 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 nan
nan 5 5 4 4 5 7 8 9 10 12 13 14 14 12 10 9 9 9 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 10 10 10 9 9 10 11 11 10 9 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 9 10 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 6 6 6 6 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 nan
nan 6 5 4 5 5 7 8 8 9 11 12 13 13 12 10 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 9 10 11 11 10 9 8 8 9 10 11 11 10 9 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 9 9 10 10 9 9 9 9 9 9 9 10 11 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 7 8 7 7 6 6 6 6 7 7 7 8 8 9 9 10 9 9 8 8 7 7 7 8 nan
nan 7 6 5 5 5 6 7 7 8 9 11 12 12 11 9 8 8 8 9 8 8 9 10 9 9 9 9 10 10 9 9 9 10 10 9 8 8 8 9 9 10 10 9 8 8 8 8 8 8 8 8 8 9 9 10 9 9 8 8 8 8 8 8 7 7 8 9 9 10 10 10 10 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 7 7 8 9 9 9 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 8 8 9 10 10 8 8 7 6 6 7 7 nan
nan 8 7 6 6 6 6 6 6 7 8 9 10 10 10 9 8 8 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 8 8 8 9 9 9 9 8 8 8 9 9 9 8 7 7 7 8 8 7 6 6 7 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 10 10 9 9 9 8 8 8 9 9 9 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 7 7 7 8 9 10 10 8 7 6 6 6 6 7 nan
nan 8 7 7 7 7 7 7 6 7 8 9 10 11 10 9 9 10 11 11 11 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 7 8 8 9 9 9 10 10 10 11 11 10 9 8 9 9 8 7 7 7 7 8 9 7 6 5 6 7 8 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 9 10 9 9 9 9 8 8 8 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 6 5 6 7 8 8 8 7 7 7 9 10 9 8 6 5 5 6 7 8 nan
nan 8 8 8 9 9 9 8 8 8 9 10 12 12 11 9 9 11 12 12 11 10 10 10 9 8 8 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 10 9 8 8 7 6 6 7 8 9 9 7 5 5 5 6 8 9 9 10 10 10 9 9 8 8 8 7 7 7 8 8 8 9 10 10 9 9 9 9 8 8 8 8 9 9 10 10 10 9 8 8 8 8 8 8 8 8 9 8 8 7 6 6 6 7 8 8 8 8 7 8 9 9 8 7 6 6 6 7 8 8 nan
nan 9 9 9 9 9 9 9 9 9 10 10 12 13 12 10 9 10 11 10 10 9 9 9 8 8 7 6 6 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 8 7 6 5 6 8 9 9 8 7 6 5 5 6 7 8 9 9 10 10 10 9 8 8 8 7 7 7 7 8 8 10 11 10 10 9 9 9 9 8 8 8 8 9 9 10 10 9 9 8 8 8 8 8 8 8 9 9 8 7 7 6 7 7 8 9 9 8 8 8 9 8 8 8 7 7 7 8 9 9 nan
nan 9 9 9 9 9 9 9 9 9 10 10 11 12 12 10 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 7 7 8 8 8 9 9 9 8 8 8 8 8 7 6 6 6 7 8 8 9 8 7 6 6 6 6 7 8 9 9 10 10 10 9 9 8 7 7 7 7 7 7 8 10 11 11 10 10 10 10 9 9 8 9 9 9 9 9 9 10 9 9 8 8 8 8 8 9 9 9 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 nan
nan 9 9 9 8 8 8 8 8 8 9 10 11 11 11 9 7 7 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 6 6 6 7 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 10 10 10 9 8 7 7 6 6 7 8 9 10 11 11 11 10 10 10 9 9 9 9 9 9 9 8 9 10 10 10 9 9 8 8 8 9 9 9 9 8 7 7 8 8 9 10 10 10 10 10 10 9 9 9 9 10 10 10 9 8 nan
nan 9 9 8 8 8 8 7 6 6 8 9 10 11 10 8 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 7 7 7 7 8 8 7 8 8 7 7 6 5 6 7 7 7 7 8 8 8 7 8 8 8 8 8 9 9 9 9 10 10 9 8 8 7 7 7 7 8 9 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 11 11 11 10 10 9 8 8 9 10 9 8 8 7 7 8 8 9 9 10 10 10 10 10 9 9 9 10 10 10 10 9 8 nan
nan 8 8 8 8 8 8 8 7 7 8 9 10 10 9 7 6 7 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 5 5 6 7 7 7 8 8 8 7 8 8 9 10 10 9 9 9 9 9 10 10 10 9 8 8 8 8 8 9 9 10 10 11 11 10 10 10 9 9 9 9 9 9 9 10 11 12 12 12 12 11 9 8 8 8 9 9 8 8 7 8 8 8 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 nan
nan 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 9 10 11 10 9 8 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 5 5 6 7 7 8 8 8 8 7 8 9 10 11 10 10 9 9 9 9 9 10 11 10 9 8 8 9 9 9 9 9 10 11 11 10 10 9 9 8 8 9 9 10 10 11 11 12 13 13 12 11 10 8 7 7 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 8 8 9 10 10 10 10 10 10 nan
nan 8 9 8 8 8 8 9 10 11 11 10 9 7 6 6 8 10 12 12 12 11 10 9 9 9 8 9 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 6 7 6 6 6 5 5 6 6 6 6 7 7 8 8 8 8 8 9 10 10 10 10 10 10 9 9 9 10 11 10 10 9 9 9 9 8 8 9 10 11 10 10 9 9 9 8 8 9 9 9 10 10 11 11 12 13 13 12 11 9 7 7 7 8 7 7 7 8 8 9 10 11 11 10 9 8 8 8 8 9 9 10 10 10 10 10 nan
nan 8 9 8 8 8 9 10 11 12 12 12 10 8 7 7 8 10 12 12 12 11 11 10 10 9 9 10 10 10 9 9 9 9 9 8 7 7 6 6 7 7 7 7 7 7 6 6 6 6 5 5 5 5 6 6 7 6 7 7 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 10 11 10 10 9 9 9 8 8 7 8 9 10 10 9 8 8 7 7 8 8 8 8 8 9 9 10 11 11 12 12 11 9 8 8 7 7 7 7 7 7 8 8 9 11 11 10 9 8 8 8 9 9 10 10 9 9 9 9 nan
nan 9 9 9 9 9 9 10 11 12 12 11 10 9 9 9 9 10 11 12 11 10 10 11 10 9 9 9 10 10 11 11 11 10 9 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 6 7 7 7 7 7 8 8 9 9 10 10 10 10 11 11 11 10 10 9 10 10 10 10 10 10 10 9 8 7 7 7 9 10 10 9 8 7 6 6 6 6 6 6 7 7 8 9 9 10 11 12 11 10 9 9 8 8 7 7 7 7 7 8 9 10 10 10 9 9 9 9 9 10 10 9 9 8 8 7 nan
nan 9 9 9 10 10 10 10 11 12 11 9 9 10 10 10 10 11 12 12 10 9 10 11 11 9 9 9 9 10 11 12 12 11 10 9 9 8 8 7 7 7 7 7 7 6 6 6 7 7 7 7 7 6 6 7 7 7 7 8 8 8 8 9 10 10 10 10 11 11 12 11 10 9 9 9 9 9 10 10 10 9 8 8 7 7 8 9 10 10 9 7 6 6 6 6 6 6 6 7 7 8 9 9 10 10 10 10 9 9 9 8 8 8 7 6 6 7 8 9 9 10 10 10 10 10 9 9 9 9 9 8 7 6 nan
nan 10 10 10 10 9 9 10 11 11 10 8 7 9 10 10 10 11 12 12 10 10 11 12 11 10 10 10 10 11 11 12 13 12 11 10 10 9 9 8 7 7 7 7 7 7 7 7 8 8 9 8 8 7 7 7 7 7 7 8 8 8 8 9 10 10 10 10 11 12 12 11 10 9 8 8 9 9 9 9 9 9 9 8 8 7 7 8 10 11 10 8 7 6 6 6 6 6 7 7 8 8 8 9 9 9 10 10 9 9 9 8 8 8 8 7 6 6 7 8 9 9 9 9 10 9 9 8 8 9 9 9 8 7 nan
nan 9 9 9 9 9 9 9 9 10 9 7 7 8 9 9 10 11 12 12 11 11 11 12 11 11 11 11 12 12 11 11 12 12 11 10 10 10 9 9 8 7 7 7 7 7 7 8 8 9 9 9 9 8 7 7 7 7 8 9 9 8 8 9 10 10 10 10 10 11 12 12 10 9 8 8 8 9 8 8 9 9 9 8 8 7 7 7 9 10 10 9 8 7 7 7 6 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 9 9 8 8 7 6 6 7 8 9 9 9 9 9 8 8 8 9 10 9 8 8 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 11 11 10 9 10 10 11 11 11 10 9 10 10 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 7 7 8 9 8 7 8 9 10 10 10 9 9 10 11 11 11 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 9 9 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 9 9 9 8 8 7 6 6 7 8 9 9 9 9 9 9 9 9 9 9 8 8 nan
nan 8 8 8 8 9 9 8 8 8 8 8 9 9 9 8 8 8 9 10 10 10 9 8 8 9 10 9 9 8 7 6 6 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 9 9 9 9 9 10 10 10 9 8 7 7 7 8 8 8 8 8 8 7 7 7 8 8 9 10 10 9 8 8 7 7 7 7 7 7 8 8 8 8 9 9 10 10 9 8 8 8 9 9 9 8 8 7 6 7 7 9 10 10 10 9 9 8 8 8 7 7 7 nan
nan 9 9 9 9 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 10 10 9 7 6 5 4 4 4 4 4 5 5 5 6 6 7 7 8 8 9 9 8 8 7 7 7 8 8 8 8 8 7 7 6 6 6 8 9 9 8 8 8 8 8 8 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 8 7 6 7 8 9 10 10 10 9 7 6 6 6 6 6 nan
nan 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 8 7 7 9 10 11 10 8 7 5 5 4 5 5 5 5 5 6 6 6 6 7 7 8 8 8 8 7 7 7 7 8 8 8 7 7 6 6 5 6 7 8 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 9 9 9 8 7 7 7 8 9 10 10 10 10 8 6 6 7 7 7 nan
nan 11 11 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 9 11 12 11 10 9 8 7 8 8 9 8 8 7 7 7 7 7 6 7 7 8 8 7 7 6 6 7 7 7 7 7 6 6 6 6 7 8 8 8 8 8 8 7 7 7 7 7 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 10 8 7 8 8 8 8 nan
nan 11 12 12 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 9 9 10 12 13 13 11 9 9 9 10 11 12 12 11 10 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 10 10 10 10 9 8 9 9 8 8 nan
nan 11 11 11 9 8 8 8 8 8 9 9 9 8 8 8 9 9 8 8 9 10 10 10 11 13 14 13 11 9 9 8 9 11 13 14 14 12 11 11 10 9 9 8 7 7 7 7 7 8 8 8 8 7 8 8 9 9 8 8 7 6 6 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 7 7 8 8 7 7 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 10 9 9 8 8 9 9 8 8 8 7 nan
nan 10 10 9 8 7 6 7 7 7 7 8 8 8 8 9 9 10 10 9 9 9 9 10 11 12 13 13 11 9 8 8 8 9 11 13 13 12 11 10 10 9 9 8 8 7 8 8 9 10 10 9 9 9 9 9 9 9 9 8 8 7 6 6 7 7 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 7 7 8 8 8 6 6 8 9 9 9 9 9 8 8 8 8 8 8 8 7 8 8 8 8 8 9 9 9 8 7 7 8 8 8 8 8 8 8 nan
nan 9 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 9 9 9 9 10 11 12 13 11 10 9 8 7 7 8 9 10 10 9 9 8 9 8 8 7 7 8 9 10 10 10 9 9 9 9 9 8 8 9 10 9 8 7 6 6 6 8 8 8 8 9 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 8 8 8 8 9 9 8 8 7 7 7 8 8 7 6 6 7 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 10 nan
nan 7 7 7 8 8 9 8 8 8 8 8 8 8 9 9 9 8 8 9 9 9 9 10 10 10 12 12 12 11 10 8 7 6 6 7 7 8 8 8 8 8 8 8 7 7 7 8 9 10 10 9 9 9 8 7 7 8 9 10 9 8 7 6 6 6 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 9 8 8 7 7 7 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 10 11 nan
nan 7 8 8 9 10 10 9 9 8 9 9 9 9 9 9 8 8 7 8 8 9 9 9 9 10 10 11 11 11 10 9 8 8 7 7 7 7 8 9 9 8 8 8 7 7 7 8 8 9 9 9 10 9 7 7 7 7 8 8 8 9 8 7 6 6 7 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 9 10 10 nan
nan 9 9 10 10 10 10 9 9 8 8 8 8 9 9 9 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 7 8 9 9 9 8 8 8 7 8 8 8 9 9 9 9 8 7 7 7 7 7 7 8 8 8 8 7 6 6 7 7 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 9 9 10 10 10 9 9 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 nan
nan 10 10 10 10 9 9 9 9 8 8 8 9 9 9 8 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 9 10 11 11 10 9 8 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 7 7 7 8 8 8 7 8 8 8 7 6 5 5 6 7 7 8 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 9 9 9 9 10 10 10 9 8 8 8 8 8 8 7 7 8 7 7 7 8 9 9 9 nan
nan 10 10 10 9 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 8 8 8 7 8 8 8 8 8 9 9 10 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 6 7 8 8 8 7 7 7 7 7 6 5 5 5 6 7 7 8 9 9 9 9 9 9 9 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 7 7 8 8 8 8 nan
nan 10 9 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 10 9 8 8 8 9 9 8 8 9 9 8 7 7 8 9 9 8 8 7 7 8 8 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 nan
nan 9 7 7 7 7 8 8 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 9 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 8 8 8 8 8 7 7 7 nan
nan 7 6 6 7 8 8 8 7 7 6 6 6 6 6 6 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 9 9 9 9 9 8 8 8 9 10 10 10 11 10 9 9 9 9 8 9 10 10 9 8 7 6 6 6 7 7 7 7 7 7 7 6 7 6 6 5 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 8 8 8 8 9 9 10 10 11 11 11 10 10 9 9 9 9 8 8 8 8 8 nan
nan 6 6 7 8 8 8 7 7 7 7 7 7 7 6 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 8 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 5 5 6 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 nan
nan 6 7 8 8 8 7 7 7 7 7 7 7 6 6 7 7 7 7 8 8 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 8 10 10 10 9 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 6 5 5 6 7 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 nan
nan 6 7 8 8 7 7 7 7 7 7 8 7 7 7 7 7 7 7 8 9 9 10 10 10 9 8 8 8 8 8 9 8 8 8 8 8 8 8 7 6 6 8 9 10 10 8 7 7 7 8 8 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 6 6 6 6 7 8 8 8 7 7 8 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 10 11 11 10 10 10 9 9 9 8 8 7 7 7 8 8 8 8 8 9 9 9 nan
nan 6 7 7 8 8 7 8 8 7 7 8 8 8 7 7 7 7 7 8 9 9 10 10 9 8 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 9 8 7 7 7 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 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 11 11 10 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 9 9 9 nan
nan 6 7 8 8 8 8 9 8 7 7 7 8 8 7 7 6 6 6 7 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 11 11 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 10 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 nan
nan 7 8 8 8 8 8 8 8 7 7 7 8 8 8 7 6 6 7 7 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 7 6 6 7 8 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 9 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 9 9 9 9 9 9 9 9 9 8 7 8 8 8 8 8 9 9 9 9 8 8 7 7 8 8 8 9 nan
nan 7 8 8 8 8 8 8 7 7 8 8 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 9 8 7 6 6 7 9 10 9 9 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 8 9 8 9 9 8 8 7 7 8 8 7 7 8 9 9 9 8 8 7 7 7 8 8 8 nan
nan 7 7 7 7 7 7 7 8 8 8 9 9 9 7 7 7 6 7 7 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 8 8 7 7 8 9 9 8 8 7 8 8 9 9 9 8 9 9 8 7 8 8 8 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 11 10 10 10 9 9 10 10 10 9 8 8 8 8 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 nan
nan 7 7 7 7 7 7 8 8 8 8 9 9 8 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 8 8 9 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 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 8 7 7 8 9 9 8 7 7 7 8 9 9 8 8 8 8 7 7 6 6 7 7 7 7 7 nan
nan 7 7 7 7 7 8 8 8 8 8 9 9 8 8 7 6 6 6 6 7 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 9 9 9 10 11 11 11 10 9 9 9 9 9 9 9 9 9 10 10 9 9 8 7 7 8 8 8 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 9 9 9 9 8 7 8 9 9 9 8 8 8 8 9 9 8 8 8 8 7 7 6 6 6 6 6 6 6 7 nan
nan 8 7 7 7 7 8 8 9 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 8 8 7 7 7 7 7 8 9 9 9 9 9 9 10 11 11 12 11 10 10 9 9 9 9 8 9 9 9 9 9 9 9 8 9 9 10 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 9 8 8 8 9 9 8 8 8 9 9 9 9 8 8 7 8 8 7 7 7 8 8 7 7 6 6 7 7 6 6 6 7 nan
nan 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 8 8 7 7 7 7 7 8 8 8 8 9 9 9 10 10 11 11 11 11 11 10 9 9 8 8 8 8 8 9 9 9 9 8 9 9 10 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 8 9 9 10 9 9 7 7 6 6 7 7 7 7 8 8 7 7 7 7 8 7 7 7 7 8 nan
nan 8 8 8 8 9 9 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 8 8 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 9 9 9 8 8 9 9 9 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 7 7 6 7 7 8 8 7 7 8 8 8 8 8 8 9 9 8 7 7 8 8 nan
nan 8 8 8 9 10 10 11 10 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 7 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 8 9 9 10 10 9 8 7 7 7 8 9 10 9 8 9 9 9 9 8 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 9 8 8 8 8 8 7 6 6 6 7 8 9 9 9 8 8 8 8 8 8 8 8 9 8 8 7 7 8 8 nan
nan 9 8 9 9 11 11 12 11 11 10 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 8 8 8 8 8 8 8 7 7 7 8 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 9 9 9 10 10 10 10 9 8 8 7 8 8 8 8 8 8 8 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 nan
nan 10 10 10 10 11 12 12 12 12 11 11 10 9 8 7 7 7 6 6 6 7 7 8 8 8 9 9 8 7 6 5 5 6 7 7 6 6 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 8 8 8 9 9 9 10 10 10 9 9 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 nan
nan 11 10 10 10 11 11 11 11 11 12 12 11 11 10 9 8 7 7 7 7 8 8 8 9 9 9 10 9 9 7 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 10 10 10 9 9 8 8 8 8 8 7 7 8 9 9 9 9 9 10 11 11 10 9 8 8 8 8 8 8 8 8 8 9 10 11 11 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 8 8 8 8 8 9 9 9 9 9 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 nan
nan 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 8 8 9 9 10 10 9 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 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 8 8 9 8 8 8 9 9 9 10 11 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 9 9 8 7 7 6 6 6 6 7 7 7 7 7 7 7 6 6 7 7 7 8 8 8 8 nan
nan 10 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 8 8 8 9 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 8 8 8 8 7 6 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 nan
nan 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 7 7 8 10 11 11 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 10 10 10 11 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 8 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 nan
nan 9 9 9 9 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 8 8 9 10 10 9 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 8 9 9 9 9 10 10 9 9 8 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 9 9 9 8 8 8 8 8 8 9 9 8 7 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 9 9 8 7 6 6 6 7 7 7 8 8 8 9 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 nan
nan 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 6 6 5 6 6 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 8 7 8 8 9 9 9 8 7 6 6 6 6 7 7 8 8 8 9 10 10 9 9 8 8 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 9 10 10 nan
nan 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 6 6 7 7 7 7 7 8 8 8 8 8 9 9 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 11 11 10 10 9 9 9 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 8 8 7 8 8 8 8 8 7 6 6 6 6 7 8 8 8 9 9 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 10 10 nan
nan 8 8 8 8 8 8 8 8 8 7 7 7 8 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 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 11 10 10 9 9 9 9 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 7 7 6 6 6 6 7 8 8 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 9 9 9 9 9 9 10 10 nan
nan 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 8 7 7 8 8 9 9 8 8 8 9 9 9 9 9 10 10 10 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 10 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 9 9 8 8 7 7 7 7 7 7 7 8 8 9 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 nan
nan 8 8 8 7 7 7 7 7 7 7 7 8 9 9 9 8 7 7 7 8 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 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 9 8 8 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 10 nan
nan 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 7 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 7 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 10 nan
nan 8 8 8 8 8 8 7 7 8 9 9 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 7 7 7 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 8 8 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 9 9 8 9 9 10 10 11 11 11 11 11 10 10 9 8 8 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 9 9 9 8 8 8 7 8 8 8 8 9 9 8 8 8 7 7 8 9 9 nan
nan 8 9 9 9 9 8 8 8 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 8 9 9 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 8 8 8 8 9 10 11 11 11 10 10 9 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 nan
nan 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 10 10 10 11 10 10 10 10 9 9 8 8 7 7 7 7 7 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 10 10 9 8 8 8 9 10 11 11 12 12 11 10 9 9 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 nan
nan 7 7 7 7 7 8 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 12 13 12 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 9 9 9 nan
nan 8 8 8 7 7 8 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 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 11 12 12 13 12 11 10 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 nan
nan 10 9 8 8 7 8 9 9 10 9 9 9 9 10 10 11 10 10 9 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 11 11 11 11 11 11 12 13 13 12 11 10 9 8 7 8 8 8 8 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 10 10 nan
nan 9 9 8 8 8 8 9 9 9 8 8 8 9 10 10 11 11 10 10 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 11 11 10 10 9 9 9 9 10 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 9 8 8 7 8 8 9 9 10 10 10 11 11 11 11 11 11 11 12 12 13 13 13 12 11 9 8 7 7 8 8 8 8 9 9 8 8 8 7 7 7 8 8 9 9 9 9 8 9 9 9 9 10 10 nan
nan 8 8 8 9 9 9 9 8 8 8 8 8 8 9 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 11 11 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 12 12 13 13 13 13 12 11 9 8 8 8 8 9 9 9 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 10 10 10 nan
nan 8 9 10 10 11 10 10 9 9 8 8 8 8 8 9 10 10 11 11 11 11 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 9 9 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 10 10 11 11 11 11 11 11 12 12 13 13 13 13 13 12 11 10 9 9 9 9 9 9 8 8 8 7 6 6 6 7 8 8 9 9 10 10 10 9 9 9 9 10 10 10 10 nan
nan 10 10 11 11 11 11 10 10 10 9 9 8 8 8 8 9 10 10 11 11 11 11 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 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 9 9 9 10 10 10 10 10 10 10 11 11 11 11 12 12 13 13 14 14 14 13 13 12 11 10 10 10 9 9 9 9 8 7 7 7 6 6 6 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 nan
nan 10 10 10 10 10 11 10 10 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 11 11 10 10 10 10 10 10 10 9 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 9 9 9 10 10 10 10 11 11 12 12 12 12 13 13 13 13 14 14 14 14 13 12 11 11 10 10 10 10 10 9 8 7 7 6 6 6 6 7 7 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
0 3 11 24 42 62 78 88 98 110 167 337 587 791 864 935 1015 1098 1187 1277 1355 1422 1465 1442 1346 1207 1103 1013 922 850 825 839 850 824 738 709 688 663 650 637 613 497 382 309 257 193 124 77 47 28 26 24 20 17 40 90 120 107 181 253 319 360 371 368 368 374 399 463 564 676 775 859 931 971 970 901 799 688 570 449 334 235 163 131 114 102 93 89 92 107 134 187 210 219 209 176 130 93 75 71 71 73 75 78 86 98 111 138 144 113 102 104 110 121 135 145 149 149 146 190 222 180 178 196 203 194 183 182 191 206 223 247 280 315 332
13 24 40 57 74 90 101 107 124 161 270 479 763 978 986 934 973 1062 1151 1214 1224 1168 1058 934 819 713 629 573 540 534 558 603 632 627 565 541 534 529 526 504 444 340 241 172 120 71 31 14 5 1 0 1 1 4 15 39 73 128 202 262 321 378 421 444 459 472 491 531 592 652 697 725 741 731 692 622 537 449 365 287 219 160 115 88 78 77 78 79 88 111 156 228 263 270 253 213 156 107 81 75 75 77 81 88 97 105 109 109 112 114 120 133 152 177 202 217 212 203 196 204 210 201 198 191 186 181 176 181 197 218 243 269 293 321 338
69 86 99 106 107 103 95 89 107 200 360 618 921 1118 1083 924 863 951 1007 996 914 778 630 521 452 399 362 344 339 348 372 408 419 402 373 345 326 320 318 299 257 199 144 97 55 24 7 3 2 2 4 8 10 15 27 49 77 116 155 185 221 269 324 376 417 447 474 502 530 554 573 583 581 554 500 434 364 293 226 169 128 98 77 67 67 86 109 124 140 180 249 298 311 294 258 210 157 114 85 77 78 84 89 95 106 122 128 124 128 138 154 177 203 229 248 248 227 202 183 182 201 214 177 150 128 118 122 137 159 179 209 237 264 294 315
153 161 155 139 114 87 70 81 131 248 438 741 1053 1199 1095 851 694 794 794 730 629 519 427 363 320 283 257 242 236 235 247 275 282 274 253 220 187 165 154 144 134 114 86 55 33 22 21 22 24 23 23 21 21 22 27 41 59 79 99 116 136 162 202 255 304 345 376 416 443 460 477 486 467 417 350 296 240 183 132 99 94 101 113 132 165 205 232 236 243 271 312 328 314 274 223 173 132 104 86 81 85 89 90 90 91 96 116 131 144 157 174 195 216 231 233 216 184 152 130 127 142 141 118 101 94 89 93 108 124 151 247 232 230 252 273
195 178 153 122 89 68 77 124 212 344 541 810 1068 1173 1046 778 577 643 610 555 489 420 363 319 289 268 252 241 238 237 244 273 258 233 200 161 124 101 91 81 80 78 63 49 41 39 41 45 45 41 34 24 19 20 26 36 54 84 114 137 156 172 192 223 258 287 310 343 368 384 396 398 374 286 209 182 156 129 119 133 165 202 243 292 339 366 364 344 327 325 328 314 279 231 182 144 114 96 88 83 83 85 84 81 82 86 102 119 132 142 151 163 186 190 178 154 125 99 80 70 72 68 62 61 65 74 85 94 98 119 184 185 191 208 226
184 157 123 89 65 64 94 144 217 339 509 706 872 922 835 699 567 568 523 477 434 391 354 334 326 312 303 287 267 266 285 292 272 237 194 143 98 77 78 76 75 83 77 73 69 65 64 63 58 48 31 19 18 24 38 67 105 148 189 223 249 264 269 275 282 288 294 303 309 307 295 283 273 216 164 142 134 142 177 235 288 326 366 410 444 447 419 383 357 343 322 283 236 190 155 131 109 89 81 75 73 74 75 70 65 63 68 81 104 131 148 147 150 135 116 97 81 63 43 34 31 30 31 34 42 53 62 63 65 76 99 123 144 160 172
154 125 94 69 63 77 109 154 222 333 456 576 660 675 625 568 535 498 453 422 402 383 364 358 363 362 367 365 374 386 377 347 314 284 251 207 153 114 100 89 83 88 87 83 77 73 67 57 46 34 11 9 19 37 67 110 156 184 209 237 267 286 285 276 266 259 255 258 256 235 199 179 180 173 151 132 136 165 212 271 319 348 378 413 434 425 389 353 337 322 286 234 182 143 118 111 112 73 60 54 51 51 49 44 41 41 43 50 72 106 135 141 118 89 65 48 36 24 16 12 9 9 13 16 22 31 36 34 39 48 64 85 105 118 127
161 134 108 94 95 114 149 202 271 354 431 507 553 562 551 534 490 431 394 381 381 382 385 402 415 415 426 427 420 418 420 401 339 309 283 275 236 171 120 91 80 75 72 71 65 52 39 22 12 4 3 14 32 52 73 92 104 107 118 138 170 196 198 189 184 175 175 184 183 161 128 114 121 140 145 134 134 156 189 224 252 281 308 333 344 331 294 260 248 229 188 145 112 88 71 67 65 46 38 33 29 28 31 34 25 21 20 27 42 67 96 103 79 52 31 18 11 7 4 3 1 1 2 3 6 11 16 19 24 31 41 54 69 80 90
273 234 189 158 148 163 206 267 325 376 435 491 513 508 492 463 413 369 364 381 404 422 435 451 441 433 440 443 446 448 428 369 294 291 303 283 228 160 107 84 74 65 57 54 45 30 18 13 11 10 19 31 39 40 37 33 26 27 40 58 82 104 107 96 102 92 96 104 103 92 81 78 85 102 124 126 113 111 129 126 142 171 194 205 206 191 162 138 126 109 87 69 58 50 39 34 30 28 26 24 25 34 55 68 28 11 6 9 18 29 44 49 41 26 14 6 2 1 0 0 0 0 0 0 0 1 2 5 11 18 24 31 38 48 57
461 387 298 234 210 228 277 330 362 388 431 465 473 460 438 415 389 377 399 428 463 487 489 481 468 458 437 419 410 389 346 303 254 247 236 212 177 140 110 87 71 61 53 50 42 31 30 44 51 53 55 48 31 16 13 15 16 15 19 25 32 41 46 40 48 43 49 56 60 60 58 58 60 67 91 97 81 67 70 71 78 87 100 111 103 73 63 61 61 60 55 46 38 33 24 23 24 24 22 19 19 35 82 80 30 6 1 1 2 6 10 14 15 9 4 1 0 0 0 0 0 0 0 0 0 0 0 1 2 7 14 19 22 23 29
609 520 408 331 312 343 386 401 389 383 400 417 417 405 389 375 370 383 437 459 467 481 500 503 477 437 408 384 357 321 281 251 223 207 185 167 148 126 102 79 66 55 51 45 36 31 38 57 69 63 54 36 15 3 3 3 1 0 2 5 6 9 13 11 14 16 22 30 37 41 40 36 32 34 43 48 45 40 38 40 41 44 49 56 57 48 46 43 41 39 35 30 25 21 18 18 19 18 16 11 7 3 0 7 4 1 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 4 7 10
610 571 505 463 473 503 506 462 399 354 350 354 351 339 323 311 315 330 411 448 457 456 459 467 453 403 368 332 297 270 258 259 251 229 206 183 160 134 104 69 58 47 44 34 24 21 28 39 41 33 20 7 1 0 0 0 0 0 0 0 0 1 1 0 1 3 5 10 15 18 18 16 10 13 20 25 25 21 17 17 18 19 21 23 23 22 20 21 22 21 19 16 12 11 12 12 11 8 8 8 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3
617 620 611 614 632 623 564 468 374 313 300 303 307 300 289 291 313 349 386 408 412 410 409 399 360 334 298 260 239 231 229 239 247 241 219 192 164 136 103 60 49 34 25 20 17 16 19 23 21 21 13 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 5 2 3 6 9 11 6 3 2 1 1 3 5 6 6 5 6 7 7 7 6 6 6 6 8 7 5 5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
652 668 681 673 645 579 487 394 322 282 271 270 281 276 269 278 282 325 353 352 340 326 306 275 250 242 217 198 192 197 206 212 219 217 196 165 137 110 76 45 29 17 13 10 7 7 7 7 11 15 15 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 0 1 1 1 2 2 2 2 3 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
617 646 643 596 523 439 364 310 278 256 242 233 234 228 221 228 243 285 308 302 280 259 235 202 189 177 169 163 161 166 175 188 197 185 162 134 103 71 45 27 10 4 3 2 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
485 526 518 459 382 315 272 255 250 237 215 199 190 186 188 200 224 251 263 253 224 198 176 149 152 139 135 134 136 143 154 165 168 154 132 106 75 46 22 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
347 382 386 347 297 257 235 228 223 208 185 171 163 161 169 187 208 219 216 200 182 168 151 127 114 106 104 108 116 121 122 130 132 123 105 84 58 30 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
275 299 303 283 254 228 208 195 185 174 163 160 156 157 168 189 206 223 221 189 180 175 160 139 119 103 95 96 102 102 97 98 96 84 71 55 36 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
235 245 245 236 218 196 177 164 158 158 161 166 166 167 175 187 200 240 260 232 207 187 167 146 119 102 92 90 90 88 85 82 74 58 42 26 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
193 192 192 188 174 155 138 129 129 139 155 170 180 183 188 201 223 246 270 261 233 196 162 132 99 84 75 74 73 72 70 67 57 45 27 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
134 130 133 131 117 102 91 85 86 97 115 145 175 193 206 224 245 245 235 225 204 170 134 105 76 53 49 47 47 46 41 33 27 22 12 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
82 81 84 82 69 59 52 46 44 49 62 93 128 155 174 189 200 189 168 152 135 112 92 80 62 39 30 24 20 17 12 7 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
50 52 52 49 41 34 28 22 18 17 21 35 55 76 93 102 106 102 93 79 70 60 56 58 49 38 26 15 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
29 30 30 28 23 18 14 10 7 5 3 5 10 19 26 29 29 27 26 23 22 23 24 28 30 29 20 10 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
23 22 22 19 15 11 6 4 2 1 0 0 0 1 3 3 2 1 1 2 3 4 5 6 9 11 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
26 24 21 17 11 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
18 16 13 10 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4
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