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 10 10 10 9 8 7 8 9 8 6 6 8 9 9 9 9 9 9 8 8 7 7 7 8 9 9 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 7 7 7 7 7 6 7 7 7 8 8 8 8 8 8 8 8 8 8 9 10 10 9 8 8 9 8 8 7 8 7 7 7 7 7 8 8 9 9 9 9 8 9 9 9 9 8 8 7 8 8 7 7 6 6 7 8 9 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 nan
nan 8 8 8 7 5 4 5 9 9 9 9 10 11 10 9 7 7 8 8 7 7 7 8 9 10 10 10 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 9 9 8 7 7 8 8 8 7 7 7 7 6 6 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 6 6 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 nan
nan 6 5 5 4 3 2 4 7 10 11 12 12 12 10 8 6 7 8 8 8 7 7 7 8 9 10 10 9 9 8 9 10 10 9 10 11 11 10 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 8 7 7 7 7 8 8 7 7 7 6 6 6 7 7 7 8 8 8 9 9 10 10 10 9 9 8 8 8 8 8 7 7 7 8 9 9 9 8 9 9 9 9 9 8 8 9 8 8 8 7 7 7 7 7 7 7 8 9 9 8 8 7 7 7 nan
nan 4 4 5 5 5 4 5 8 10 11 12 13 12 10 8 7 8 9 8 8 7 7 7 7 7 9 9 9 9 9 10 11 10 10 10 11 12 11 10 9 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 7 7 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 8 9 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 9 9 9 9 9 9 9 10 9 9 8 7 7 7 7 6 6 7 8 9 9 8 7 7 7 7 nan
nan 5 6 7 7 8 8 8 9 9 10 12 13 13 10 8 9 9 9 8 8 7 6 6 6 6 7 8 8 8 8 10 10 10 9 9 10 11 11 9 9 10 10 10 9 8 8 8 8 8 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 7 8 7 7 6 6 6 7 7 7 6 6 7 9 11 11 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 nan
nan 8 8 9 9 9 10 10 10 10 11 12 12 11 10 9 10 9 8 8 8 7 6 5 5 5 7 8 8 8 9 9 9 9 9 9 9 10 10 9 9 10 11 10 9 8 8 7 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 8 8 8 8 8 7 7 6 7 7 7 7 6 6 8 11 12 11 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 8 8 8 8 8 7 7 7 7 nan
nan 9 9 9 9 9 10 10 10 10 11 11 11 10 9 9 9 9 8 7 8 8 7 6 5 6 8 9 9 9 9 10 10 9 10 9 9 10 10 9 10 11 11 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 6 7 8 8 7 6 7 9 11 11 10 9 10 10 9 9 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 nan
nan 10 10 9 9 9 10 10 10 10 11 11 10 10 10 10 9 9 8 7 7 8 9 9 8 8 9 10 10 9 9 8 9 10 11 10 10 9 9 9 9 10 10 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 7 8 7 7 7 7 8 8 8 7 8 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 8 8 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 nan
nan 11 10 10 9 9 9 10 10 11 12 12 11 11 10 10 10 9 9 8 7 8 8 9 8 8 8 9 9 8 8 7 8 9 10 10 9 8 7 8 8 9 9 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 10 10 9 9 9 9 10 9 9 9 9 9 8 7 7 8 8 8 7 8 8 9 8 8 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 6 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 6 6 7 7 8 8 8 nan
nan 11 11 10 9 8 9 9 11 12 13 13 12 11 10 10 9 9 9 9 8 8 7 7 7 7 7 7 7 8 7 7 7 8 9 8 8 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 7 8 8 8 9 8 8 8 9 10 11 11 9 9 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 9 10 10 10 9 9 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 7 7 8 8 8 7 6 6 6 7 7 6 6 7 7 8 8 8 nan
nan 10 10 9 9 8 8 9 12 14 14 14 12 10 8 7 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 8 8 8 7 7 7 8 8 8 7 7 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 9 10 11 11 9 8 8 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 9 9 8 8 8 8 8 7 7 7 8 9 9 8 8 8 9 9 10 10 9 9 8 7 7 7 6 6 7 7 8 8 8 7 6 6 6 6 7 7 7 7 7 8 8 8 nan
nan 9 9 9 9 9 9 10 11 13 14 13 11 8 6 5 6 6 7 6 6 5 6 7 7 6 6 6 6 6 7 8 9 8 8 7 8 9 8 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 9 9 8 8 9 10 11 11 10 8 7 7 7 7 7 6 7 8 8 9 8 8 8 7 7 8 8 9 9 8 9 10 10 9 8 8 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 10 10 10 9 8 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 8 8 8 8 8 8 nan
nan 8 9 9 9 9 9 9 9 10 11 11 10 8 5 4 4 5 5 5 5 5 6 7 8 7 7 7 7 7 8 8 9 9 8 8 9 9 8 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 9 8 8 9 9 10 10 10 9 7 7 7 7 7 6 6 7 8 9 9 9 8 8 7 7 7 8 9 8 8 10 11 10 9 8 8 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 9 10 10 10 9 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 nan
nan 8 9 9 9 10 9 8 7 7 8 9 9 9 7 6 5 4 4 4 5 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 8 9 9 8 8 8 8 8 8 9 9 8 9 9 9 9 10 10 9 8 7 7 7 7 7 7 7 8 9 10 10 9 9 8 7 7 7 8 8 9 10 11 11 9 8 8 8 8 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 9 10 10 10 9 8 8 8 8 7 7 7 7 8 8 9 9 9 10 10 10 9 8 8 9 9 nan
nan 9 9 9 10 10 9 8 7 7 7 9 10 10 9 8 6 6 5 6 6 6 5 5 6 6 7 7 7 7 7 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 8 8 9 9 9 8 8 9 9 9 9 9 10 9 8 8 7 8 8 9 8 8 8 9 10 10 10 9 9 8 7 7 8 9 9 10 11 10 9 9 8 8 8 7 7 7 8 7 7 6 7 7 7 8 8 8 9 8 9 10 11 11 12 11 10 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 8 nan
nan 9 10 10 10 10 10 9 9 8 8 9 10 10 9 8 7 7 7 7 7 6 5 5 5 6 7 7 7 7 7 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 7 7 8 9 9 9 9 10 9 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 8 7 7 8 8 9 9 10 10 9 9 9 9 8 7 7 7 8 7 6 6 7 7 8 8 9 9 9 8 9 10 11 12 12 12 11 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 9 9 8 nan
nan 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 8 8 7 6 6 6 6 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 7 8 9 9 9 10 9 8 8 8 9 9 10 9 9 10 10 10 10 11 10 9 9 8 7 7 7 7 7 8 9 9 9 9 8 8 7 6 6 7 7 7 6 7 8 8 9 9 10 10 9 8 8 9 10 11 11 11 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 10 11 11 10 10 10 10 10 9 9 9 9 8 8 9 9 9 10 10 9 8 7 7 7 8 8 9 9 9 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 7 7 6 6 6 6 7 8 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 10 9 8 7 6 6 6 6 6 8 9 9 8 7 7 7 7 7 7 7 7 8 9 9 9 9 10 10 10 10 9 8 8 9 10 10 10 9 8 8 9 10 11 10 10 9 9 8 8 8 8 8 8 8 9 9 10 nan
nan 9 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 6 6 5 5 6 7 7 8 8 9 9 8 8 8 8 8 9 9 9 9 10 11 11 10 9 10 11 10 9 8 8 7 7 7 6 6 7 8 8 8 7 7 7 8 8 7 8 8 9 9 9 9 10 10 10 11 11 10 9 8 8 9 10 9 8 7 7 7 9 11 11 10 9 8 8 7 7 8 8 8 8 9 10 10 nan
nan 9 9 9 9 10 10 9 9 10 11 11 10 10 9 10 10 10 10 10 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 8 8 7 6 6 6 5 5 5 7 7 7 7 8 8 8 8 8 8 8 9 9 8 9 9 11 12 12 10 9 9 10 9 9 8 8 8 7 7 6 6 7 7 7 7 7 7 8 8 8 7 7 8 9 9 9 9 9 10 10 11 12 11 10 9 9 9 9 9 7 6 6 6 7 10 11 11 10 9 8 8 8 9 9 9 9 9 10 9 nan
nan 9 8 8 8 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 9 9 9 10 10 9 8 9 9 10 11 11 11 10 10 10 10 9 9 8 8 8 8 8 9 8 8 7 7 7 6 6 6 6 7 8 8 8 7 8 8 8 8 8 8 8 8 9 9 10 11 12 12 11 9 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 7 6 7 7 7 7 7 8 8 8 9 9 9 9 10 11 11 11 10 9 9 9 9 9 8 7 6 6 6 8 10 11 11 10 9 9 9 10 10 9 9 9 9 8 nan
nan 10 9 8 8 8 9 10 11 11 11 10 10 10 10 11 11 11 11 10 9 9 9 10 10 10 9 9 10 10 11 11 11 10 10 10 10 9 9 8 8 8 7 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 8 9 10 11 11 11 10 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 7 8 8 8 8 8 8 9 9 10 11 11 10 10 9 9 9 8 7 7 6 6 6 7 9 10 11 10 10 10 10 10 9 9 8 8 8 8 nan
nan 10 9 8 8 8 9 11 11 11 10 8 8 9 10 10 10 11 11 10 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 9 10 10 10 10 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 6 7 7 7 8 8 8 8 9 9 10 10 11 11 10 10 9 9 8 7 6 6 6 6 7 8 10 10 10 10 10 10 9 9 8 8 9 8 8 nan
nan 10 9 8 8 8 9 10 11 11 9 8 8 9 9 9 10 11 11 10 9 9 10 10 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 9 10 10 9 9 9 9 10 10 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 6 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 9 8 8 7 7 6 7 7 8 9 9 9 10 10 11 10 9 9 9 9 8 8 nan
nan 10 9 8 7 8 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 9 9 9 9 10 10 10 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 7 7 7 7 8 8 9 9 10 10 11 10 10 9 9 8 8 7 nan
nan 9 10 9 9 8 9 9 10 10 10 11 11 10 10 9 8 8 8 9 9 9 8 6 6 7 8 9 9 9 8 8 8 8 8 8 8 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 12 12 12 11 10 10 9 9 9 10 11 11 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 7 7 7 7 8 9 9 9 10 10 10 9 9 9 8 7 7 nan
nan 9 10 11 10 9 9 9 9 10 10 11 11 11 11 10 9 8 8 8 9 8 7 6 8 9 10 10 10 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 8 7 7 6 5 4 4 5 7 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 12 12 13 12 11 11 10 9 9 9 10 10 11 10 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 6 6 8 8 9 9 9 9 9 9 8 8 8 7 nan
nan 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 7 8 9 10 10 10 9 9 9 10 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 6 5 4 4 5 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 11 11 12 12 11 10 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 10 9 9 9 10 9 8 7 6 5 6 7 8 9 9 9 9 8 8 8 8 8 nan
nan 7 7 7 8 8 9 8 8 8 7 6 6 7 7 8 10 10 10 10 9 9 8 8 8 9 10 10 10 9 9 9 10 12 12 11 11 10 10 10 10 9 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 9 10 10 11 10 10 10 10 10 11 10 10 9 8 8 8 9 9 8 8 8 8 8 8 8 7 8 8 9 10 10 10 10 10 10 9 8 9 10 10 10 10 9 9 9 9 8 7 7 6 7 8 8 8 8 8 8 8 8 9 9 8 nan
nan 5 4 4 5 5 6 7 6 6 5 5 5 5 5 6 7 8 9 10 10 10 9 9 9 10 11 11 11 9 9 8 9 11 12 12 11 10 10 10 9 8 8 7 7 8 8 8 7 7 7 7 7 6 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 10 10 11 10 10 9 9 10 10 10 9 9 8 8 8 9 9 9 8 8 8 9 9 8 8 8 9 9 10 11 11 11 10 10 10 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 9 8 7 5 6 8 9 9 9 9 8 nan
nan 3 4 5 5 5 6 6 6 6 5 5 5 4 4 5 5 6 7 8 9 9 9 9 10 12 13 12 11 9 8 8 8 9 10 11 10 10 10 9 9 8 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 11 11 10 10 10 10 10 10 10 9 9 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 7 8 8 9 9 9 9 9 8 6 5 6 8 9 10 10 9 8 nan
nan 5 6 7 7 7 6 6 6 6 6 6 6 6 5 5 6 6 7 7 7 7 8 9 10 12 13 12 10 9 8 7 7 8 9 10 9 9 9 9 8 7 7 6 6 6 6 7 8 10 10 11 10 9 9 8 7 7 8 8 8 7 7 7 7 7 6 7 7 7 7 7 8 9 11 11 12 11 11 11 10 10 10 10 10 9 9 10 10 10 11 10 9 9 8 9 10 10 11 10 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 8 7 6 6 7 8 9 9 9 8 8 nan
nan 7 7 7 7 8 7 6 5 5 6 6 7 6 6 7 7 8 7 7 7 7 7 9 10 11 12 11 9 8 8 7 7 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 9 10 11 10 9 10 9 7 6 6 8 9 9 8 7 7 6 7 7 7 7 7 7 8 9 10 11 12 12 12 11 11 11 11 11 11 10 10 10 10 11 11 12 11 10 9 8 8 9 11 11 10 8 7 7 8 8 9 9 8 8 8 8 8 8 9 9 9 9 10 10 9 9 9 8 8 8 7 7 7 8 9 9 9 9 9 nan
nan 6 6 7 7 8 7 7 6 5 5 5 6 6 7 8 8 8 7 7 7 7 8 9 10 10 11 10 10 9 8 8 8 7 7 7 7 7 7 7 8 7 7 7 7 7 8 9 10 10 10 9 9 9 8 7 6 7 9 10 10 9 8 7 7 7 7 7 7 7 8 9 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 11 12 11 10 8 7 8 9 10 10 9 8 8 7 7 8 9 9 9 9 9 9 8 8 9 9 9 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 nan
nan 6 6 7 7 7 7 8 8 7 7 6 5 6 7 8 8 8 7 7 8 8 8 9 9 9 10 10 10 10 10 9 8 7 7 7 7 7 7 8 7 7 7 8 8 8 9 9 9 10 10 10 9 8 7 6 7 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 10 11 12 12 12 11 11 10 10 11 11 11 10 9 9 10 10 10 10 10 9 8 7 7 8 9 9 9 8 8 8 8 8 9 8 9 9 9 9 9 9 9 9 9 10 9 9 8 9 9 9 10 9 9 8 8 8 8 8 9 10 10 nan
nan 7 7 7 7 7 8 8 8 8 8 8 7 7 8 8 8 8 7 7 8 8 8 9 9 9 9 9 10 10 11 10 9 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 7 7 8 9 9 9 9 8 8 8 7 7 8 9 10 11 12 11 10 9 9 9 10 10 9 9 8 8 9 9 10 9 9 8 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 9 10 9 8 8 8 9 9 10 9 9 8 8 8 8 8 9 10 10 nan
nan 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 7 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 9 9 10 10 9 9 9 9 9 9 8 8 9 9 9 8 7 7 8 8 8 8 8 9 9 9 8 8 8 8 7 7 7 7 8 9 10 9 8 8 8 9 9 8 8 8 7 8 8 9 9 9 8 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 nan
nan 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 11 10 10 9 8 7 9 10 10 10 10 10 10 9 8 8 9 10 10 10 8 7 7 8 9 8 8 8 8 8 8 7 7 7 8 7 7 7 6 6 7 8 8 7 7 7 8 9 8 8 8 7 8 8 8 9 9 8 6 6 6 7 7 7 8 7 7 7 7 7 8 8 8 8 8 8 8 9 10 10 10 9 9 9 9 8 8 8 9 9 10 9 9 9 9 9 9 9 9 9 nan
nan 9 8 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 6 6 7 9 10 11 11 11 10 9 8 8 9 10 11 10 9 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 6 5 5 6 6 7 7 6 7 8 8 8 8 8 8 7 8 8 9 9 7 6 6 6 6 6 7 7 6 6 6 7 7 8 8 8 8 9 8 8 8 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 8 8 nan
nan 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 7 6 5 6 8 10 11 11 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 6 5 5 5 6 7 7 7 8 8 8 8 8 7 7 7 7 8 9 8 6 5 6 6 6 6 7 7 6 6 7 7 8 8 8 9 9 9 9 8 8 8 8 8 7 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 nan
nan 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 8 8 7 7 6 6 6 6 7 9 10 10 10 10 9 9 9 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 7 5 5 5 5 6 7 8 9 9 8 8 8 8 7 7 7 7 8 8 7 6 6 7 6 6 6 7 7 7 7 7 7 8 8 8 9 9 10 10 9 9 9 8 7 7 7 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 8 8 nan
nan 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 10 10 10 10 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 6 5 4 5 6 8 10 10 9 9 8 8 8 8 8 7 7 7 7 6 7 7 7 6 6 7 7 8 7 7 7 8 8 8 8 9 9 10 11 10 10 9 8 8 7 7 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 nan
nan 8 8 8 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 6 5 5 5 7 9 10 11 10 9 8 8 8 8 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 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 8 9 10 10 10 9 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 9 8 8 9 9 9 10 10 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 8 7 7 6 6 6 7 9 10 10 10 9 8 8 9 9 9 9 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 8 9 10 10 9 9 8 8 8 8 8 8 8 7 7 7 8 9 10 10 10 10 10 10 nan
nan 7 7 8 8 8 8 8 9 8 8 8 8 8 7 7 7 6 6 7 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 10 9 9 10 10 10 10 10 9 9 9 10 10 9 8 9 9 9 9 9 10 10 10 9 9 8 8 8 7 7 7 7 7 6 6 7 9 10 10 10 9 8 8 8 9 9 9 8 7 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 9 8 7 8 8 9 10 10 9 8 7 7 7 7 8 8 8 7 7 7 8 9 10 10 10 10 10 10 nan
nan 8 8 8 8 9 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 9 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 10 9 9 9 10 10 9 8 8 9 9 9 9 10 10 10 9 9 8 8 7 7 7 7 7 7 6 6 7 8 10 10 10 9 8 8 8 8 8 8 7 7 7 7 8 8 9 8 8 8 8 8 8 7 7 7 8 9 10 9 8 8 9 9 10 10 10 9 7 6 6 6 8 8 8 8 8 8 7 7 8 9 9 10 10 10 10 nan
nan 8 8 8 8 9 9 9 8 7 7 8 8 8 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 11 11 11 11 11 11 10 9 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 7 6 6 6 8 10 10 10 9 9 8 8 8 8 8 8 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 10 10 9 9 8 8 7 7 7 9 9 9 9 9 8 7 7 8 8 9 9 10 10 9 nan
nan 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 9 8 9 10 9 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 9 9 8 8 8 8 7 8 8 8 8 8 9 10 9 9 9 9 9 8 7 7 7 8 9 9 9 8 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 11 10 9 8 8 9 9 9 8 8 8 8 8 8 9 11 11 10 9 9 10 9 9 9 9 8 8 8 8 8 8 8 7 7 8 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 10 10 9 8 7 6 6 7 8 9 9 8 9 10 10 10 9 9 9 9 8 7 7 7 8 8 8 8 8 nan
nan 8 9 8 8 8 8 8 8 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 11 10 9 8 7 8 9 9 9 9 9 8 7 7 8 9 10 10 10 10 9 9 10 10 9 9 9 9 9 8 8 7 6 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 9 8 8 8 8 8 8 8 9 8 8 8 8 9 9 10 10 9 8 6 5 5 7 9 9 9 9 9 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 8 nan
nan 9 9 9 8 8 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 9 9 8 8 8 9 9 9 9 8 7 7 7 8 9 10 10 9 9 9 10 10 9 9 9 9 9 8 7 6 6 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 8 8 7 6 7 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 7 7 8 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 9 9 9 9 10 9 9 10 9 9 8 8 9 9 9 9 10 10 9 9 9 9 9 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 8 7 7 7 8 8 8 8 9 9 9 9 9 9 8 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 10 10 10 10 10 10 9 9 9 9 10 10 9 9 10 10 10 9 8 7 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 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 10 11 10 10 9 8 8 9 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 8 7 7 8 9 10 10 10 10 10 10 10 10 10 9 9 8 8 10 10 10 10 10 11 11 9 8 8 9 9 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 9 9 8 8 9 10 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 8 7 7 9 10 10 10 9 9 9 10 10 10 10 10 9 8 8 10 10 11 11 11 12 11 9 9 9 9 10 nan
nan 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 11 11 11 10 9 8 8 8 8 8 8 8 7 6 6 6 7 7 8 8 8 9 9 9 9 9 9 8 8 9 9 9 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 8 8 9 9 10 10 9 8 9 10 10 10 10 10 10 9 8 9 9 10 10 11 12 12 11 10 9 9 9 9 nan
nan 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 10 10 10 10 10 9 9 8 8 8 9 9 9 9 10 10 11 10 9 8 8 7 8 8 7 7 7 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 11 10 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 11 12 12 11 10 9 9 9 9 nan
nan 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 8 8 8 7 7 7 7 7 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 11 11 11 12 12 12 13 12 11 10 10 10 11 11 10 10 9 9 10 10 10 10 10 10 9 9 9 8 9 9 10 11 12 11 11 10 9 8 8 9 nan
nan 7 7 6 7 7 8 8 9 9 10 10 10 9 9 9 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 7 7 8 8 8 8 7 7 8 8 9 9 9 10 10 9 8 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 9 9 10 10 11 11 11 11 11 12 12 12 12 12 12 12 11 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 9 8 8 9 nan
nan 7 7 7 7 7 8 8 8 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 10 9 9 9 9 9 9 9 8 8 9 9 10 10 9 9 9 9 9 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 9 9 9 10 10 9 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 9 9 10 11 10 9 9 9 9 9 9 8 9 9 9 9 9 9 8 9 9 10 10 10 11 10 10 9 8 8 8 nan
nan 7 7 7 7 8 8 8 8 8 9 9 10 10 10 9 9 8 8 8 8 9 9 10 10 10 10 9 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 11 11 12 12 11 9 9 10 10 9 8 7 7 8 8 9 9 9 9 10 10 10 9 8 9 9 10 10 10 10 10 10 9 8 8 8 nan
nan 7 8 8 8 8 8 8 8 8 9 9 9 10 9 9 9 8 8 8 8 9 9 10 10 10 9 9 8 8 8 9 9 9 9 10 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 8 8 8 8 8 8 8 9 9 9 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 11 12 13 12 10 10 10 11 9 8 6 6 6 8 8 9 9 9 9 10 11 10 9 9 9 10 11 10 10 10 10 10 9 8 8 8 nan
nan 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 7 8 8 7 7 7 8 8 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 9 10 10 10 9 7 7 7 7 8 9 9 9 9 9 10 10 10 9 9 10 10 11 10 10 10 10 9 9 9 8 8 nan
nan 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 7 7 8 8 8 7 7 8 8 8 8 8 8 9 9 9 10 10 10 9 9 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 10 10 10 9 9 9 9 8 9 10 9 9 9 10 10 9 9 9 9 9 9 8 9 10 10 10 9 9 10 9 9 9 10 9 9 9 9 9 9 nan
nan 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 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 8 7 7 7 7 8 7 7 8 8 8 9 9 8 8 9 10 10 10 10 10 9 9 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 9 10 11 11 11 10 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 9 10 9 9 8 8 8 9 nan
nan 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 8 7 7 7 8 8 8 9 9 9 9 9 9 10 10 11 10 10 9 9 8 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 10 11 11 11 10 9 9 8 8 8 8 8 9 9 9 10 10 10 9 8 9 10 10 9 9 8 8 8 9 nan
nan 8 9 9 9 9 9 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 9 9 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 10 10 10 11 11 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 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 9 10 10 10 9 9 9 9 9 9 nan
nan 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 10 10 10 11 12 11 11 10 9 9 9 10 10 11 11 10 10 10 9 9 10 10 11 11 11 11 10 10 10 10 10 10 11 11 12 11 11 10 9 8 8 8 8 7 7 8 8 9 9 9 8 8 8 7 7 7 8 8 7 7 7 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 nan
nan 8 8 9 9 9 8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 9 9 8 8 8 8 7 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 9 9 10 10 10 10 11 12 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 10 10 11 11 11 11 11 10 9 8 8 8 7 7 7 7 8 8 9 9 9 9 8 8 8 7 8 8 8 8 7 7 7 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 nan
nan 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 8 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 9 10 10 11 11 11 10 10 9 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 9 10 10 10 10 10 10 10 9 9 9 9 10 10 nan
nan 8 8 9 9 8 8 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 9 9 9 9 9 8 8 8 8 8 8 7 7 8 8 9 9 9 8 8 9 9 10 10 10 10 11 11 11 11 10 10 10 9 9 8 8 9 9 10 10 11 11 10 10 10 10 9 9 8 9 9 10 11 11 11 10 9 9 8 8 8 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 10 10 10 10 10 10 10 9 9 9 9 10 10 nan
nan 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 9 9 9 10 11 11 11 10 10 9 9 8 8 8 7 7 7 7 8 8 8 9 9 9 8 7 7 8 8 8 8 8 7 7 7 7 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 nan
nan 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 10 10 11 12 13 12 11 10 9 8 8 9 10 11 12 11 10 9 9 8 8 7 7 6 6 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 nan
nan 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 12 12 11 10 9 8 8 8 10 11 12 12 11 10 9 8 8 8 7 7 6 6 7 7 8 8 9 9 9 9 9 8 8 8 9 9 8 8 7 7 7 8 8 9 10 10 10 10 10 10 10 10 9 9 8 9 9 10 10 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 10 9 8 8 8 8 9 10 11 12 13 12 11 10 9 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 8 8 9 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 9 8 7 7 8 9 10 12 13 13 13 12 11 10 9 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 8 9 9 10 10 10 10 10 11 11 10 10 9 8 8 8 8 9 9 nan
nan 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 9 9 8 8 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 9 8 9 9 11 12 13 13 13 12 12 11 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 10 11 11 11 11 11 10 10 9 9 9 9 11 10 nan
nan 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 7 8 8 9 9 8 8 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 10 10 10 9 8 8 8 8 8 9 9 10 10 11 11 11 11 10 10 10 11 11 11 11 10 10 9 10 10 10 10 10 10 9 9 10 11 12 12 12 11 11 11 10 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 11 11 11 11 11 11 11 11 11 10 10 10 11 12 12 nan
nan 10 10 9 9 9 9 9 9 8 8 8 7 8 8 8 9 9 9 10 10 9 8 8 8 9 9 8 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 10 10 11 11 11 11 10 9 9 10 10 10 9 9 8 8 8 8 7 7 7 8 8 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 9 10 10 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 nan
nan 10 10 10 10 9 9 9 9 8 8 7 7 7 8 8 8 9 9 10 10 9 8 8 8 9 8 8 7 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 10 10 10 10 9 9 8 8 7 7 7 7 7 8 9 9 10 10 10 10 10 9 8 8 8 8 8 8 9 10 10 10 11 11 11 11 11 11 11 12 12 12 13 14 15 15 15 nan
nan 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 11 10 10 10 9 9 10 10 10 10 10 11 12 12 12 11 11 11 10 10 10 9 10 10 10 10 10 10 10 10 10 9 10 10 10 10 9 9 9 9 10 10 11 10 10 9 8 8 7 7 8 8 8 8 9 9 10 10 11 11 10 9 9 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 12 12 13 13 14 15 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
CAPE
1374 1446 1481 1495 1511 1532 1534 1521 1554 1541 1435 1399 1487 1661 1888 2134 2261 2305 2316 2240 2079 1887 1714 1565 1446 1380 1365 1357 1327 1268 1189 1110 1129 1209 1078 1035 1054 1043 969 883 874 631 426 365 380 382 342 282 225 189 154 143 143 144 176 235 242 171 212 228 247 258 267 281 295 305 312 317 320 323 326 330 334 321 316 341 354 344 330 325 326 322 313 295 277 277 293 317 340 356 363 348 346 351 337 301 255 210 176 174 190 200 209 211 215 225 226 318 411 372 369 377 367 352 330 298 263 224 153 290 411 241 166 159 149 131 115 117 136 161 195 256 242 235 224
1462 1506 1511 1501 1503 1518 1515 1502 1525 1386 1261 1232 1344 1576 1858 2125 2236 2234 2171 1982 1746 1532 1361 1267 1254 1297 1362 1419 1442 1408 1310 1183 1125 1198 1172 1191 1224 1180 1022 809 610 446 344 301 303 312 292 246 225 191 169 159 157 156 151 144 142 173 217 256 296 332 363 384 396 400 395 383 367 357 353 353 365 370 366 367 338 303 292 301 303 296 293 285 282 299 324 345 359 368 371 354 337 321 301 280 260 235 211 219 230 235 245 252 252 257 275 284 314 358 392 400 386 362 329 293 248 210 157 165 184 148 151 152 148 151 166 191 215 244 357 477 365 297 235
1373 1407 1434 1433 1426 1432 1440 1436 1400 1210 1073 1072 1240 1533 1841 2058 2108 2023 1834 1582 1371 1231 1147 1153 1246 1365 1474 1544 1557 1508 1405 1275 1176 1155 1166 1175 1161 1081 909 676 454 315 256 249 271 290 282 248 215 185 175 165 157 149 142 138 145 176 225 281 335 383 422 448 460 464 455 427 392 373 367 362 361 357 374 387 331 290 272 253 265 281 301 327 356 379 395 404 408 427 432 409 375 342 315 297 289 272 261 272 284 293 300 303 301 300 316 348 381 412 428 425 411 393 369 347 305 264 232 217 220 223 230 231 229 239 253 261 259 255 350 452 378 293 214
1201 1219 1225 1218 1209 1206 1199 1168 1069 926 831 874 1101 1458 1779 1859 1659 1594 1447 1270 1160 1130 1155 1256 1414 1568 1683 1726 1694 1611 1499 1363 1250 1167 1118 1069 997 876 705 514 357 252 200 192 210 234 246 241 217 193 175 156 145 140 139 146 163 192 245 305 359 403 433 448 454 456 445 418 392 373 360 351 346 332 350 386 338 285 260 246 262 286 313 351 399 444 472 486 504 534 535 506 475 447 417 382 354 344 343 348 352 354 358 364 373 384 401 431 464 488 489 472 454 444 426 411 385 359 347 358 385 396 373 353 336 320 295 264 243 242 607 553 376 229 140
930 933 899 861 824 777 704 599 483 429 436 575 905 1345 1640 1538 1288 1278 1212 1149 1146 1209 1321 1484 1675 1814 1875 1850 1767 1656 1524 1370 1244 1155 1091 1017 896 731 556 411 309 233 181 147 140 151 166 178 183 180 175 158 138 131 137 146 173 217 268 322 369 403 420 419 418 421 417 404 382 352 324 311 314 321 340 376 356 313 284 272 275 292 317 360 417 474 518 544 572 596 599 591 606 619 597 542 496 486 472 452 433 425 431 447 459 460 470 495 530 562 573 559 526 510 494 477 454 433 430 447 475 466 412 364 320 277 235 199 183 174 397 340 221 131 82
618 599 559 504 442 373 292 205 133 125 169 322 645 1050 1310 1254 1168 1138 1113 1135 1219 1356 1533 1735 1918 1977 1946 1852 1754 1664 1558 1420 1281 1180 1092 979 820 643 491 380 306 252 201 151 117 103 103 108 118 133 157 156 134 122 131 146 181 233 279 325 359 382 392 387 389 393 393 386 361 322 286 272 275 333 384 405 379 330 292 282 300 331 366 404 446 492 539 576 599 612 629 659 728 779 768 728 706 653 605 561 530 522 533 535 515 482 467 483 526 576 607 609 574 544 518 494 468 441 422 410 394 353 311 269 228 194 166 147 133 108 117 109 88 69 60
389 366 325 279 232 188 148 120 112 146 191 289 539 836 1001 998 1006 1002 1019 1090 1223 1406 1624 1849 2012 1999 1936 1838 1748 1685 1618 1490 1332 1207 1090 955 802 652 528 429 362 312 261 205 155 120 101 91 97 112 140 149 138 130 138 153 182 226 266 307 340 359 367 361 363 369 361 359 344 312 287 283 304 388 442 440 397 353 338 354 402 445 485 504 514 539 580 616 623 634 670 735 815 864 866 903 993 772 694 662 641 631 616 570 488 417 385 399 446 497 532 548 533 500 470 442 408 369 334 306 275 238 209 185 165 150 137 128 110 90 74 63 58 58 56
295 270 235 202 179 173 188 224 271 293 299 342 521 735 847 867 876 881 898 962 1083 1257 1473 1710 1905 1823 1871 1839 1740 1643 1562 1441 1297 1172 1058 935 792 656 554 479 436 396 345 299 246 195 163 145 149 156 162 162 157 154 155 161 180 206 240 268 287 299 302 300 323 351 345 349 352 345 338 341 378 450 496 486 433 392 412 461 530 585 624 638 634 629 634 642 650 685 746 815 871 892 878 883 877 750 701 665 628 611 614 578 435 319 277 298 350 403 437 444 428 407 384 351 311 275 247 217 184 161 150 142 131 121 111 105 95 81 68 58 53 53 50
302 268 236 218 221 255 327 421 482 410 355 377 510 662 739 745 739 743 750 810 941 1128 1333 1517 1639 1610 1763 1764 1625 1464 1347 1253 1203 1115 1030 948 855 748 640 546 471 449 396 370 333 280 241 220 218 215 205 194 186 180 175 174 187 195 213 221 222 225 232 260 327 385 419 437 444 444 435 436 476 537 563 520 455 435 478 541 602 646 676 687 681 666 652 626 645 695 765 829 861 854 814 753 700 655 609 558 525 565 717 855 477 280 224 240 282 322 350 354 350 336 318 296 269 240 207 176 149 132 124 117 105 96 90 86 82 77 72 67 62 53 45
387 327 287 281 314 402 543 678 675 500 427 440 524 618 664 661 647 635 612 654 806 1020 1206 1287 1228 1344 1415 1418 1461 1484 1395 1248 1174 1106 1019 936 859 792 714 582 448 421 371 347 328 298 270 254 255 262 260 249 236 227 221 216 218 208 210 218 234 262 303 373 484 564 630 660 650 612 569 555 578 606 577 506 454 460 496 543 585 617 644 662 661 644 621 598 616 657 716 765 779 753 695 624 572 519 469 423 418 566 1077 1200 619 311 231 227 241 268 304 326 329 315 293 268 239 207 182 162 147 135 120 101 90 88 77 76 78 79 78 75 68 60 49
371 321 294 322 393 531 716 850 799 615 526 514 547 589 613 614 608 573 546 582 692 812 915 1023 1053 1000 991 1003 1094 1342 1560 1368 1188 1096 994 875 757 659 581 504 424 356 298 261 249 254 262 269 290 325 347 344 336 336 329 298 272 277 303 343 400 476 567 667 752 809 845 843 803 737 665 638 623 594 532 471 444 456 480 509 547 576 603 617 613 600 587 584 590 610 652 687 685 645 585 522 462 404 358 328 311 295 265 549 446 314 256 238 228 240 275 304 313 302 280 253 221 187 160 147 137 122 101 90 105 124 91 82 82 83 81 78 72 64 56
278 268 274 345 439 578 735 824 772 643 576 556 557 565 580 598 601 579 620 677 751 834 930 1035 1083 1059 1055 1030 1206 1373 1325 1243 1127 1033 927 804 687 601 549 495 407 341 285 256 264 294 325 341 364 421 475 478 466 470 465 447 458 520 593 653 709 780 857 925 930 938 933 893 819 738 674 640 592 527 468 435 429 429 427 437 471 514 545 552 551 564 579 567 554 555 568 575 559 522 469 412 358 314 288 279 277 278 281 277 271 262 250 237 223 226 255 285 296 287 263 233 196 163 142 134 129 117 97 90 119 140 105 88 87 88 89 87 79 68 64
233 249 284 366 444 528 601 631 608 576 551 530 512 509 531 567 577 601 654 761 891 999 1071 1120 1161 1241 1228 1253 1386 1441 1308 1165 1046 944 844 742 642 565 517 457 397 368 348 354 388 436 465 450 435 468 523 541 537 545 570 630 747 888 975 990 979 989 1006 1006 978 967 954 912 842 771 686 612 552 497 452 422 403 387 383 394 425 460 479 480 478 496 522 507 485 474 467 452 427 401 364 329 303 283 274 271 265 264 254 242 231 218 208 204 200 207 229 250 258 247 221 192 161 140 130 130 130 117 89 77 96 109 105 108 106 93 91 85 78 73 69
219 252 304 374 437 486 516 523 517 513 494 470 450 455 485 524 564 620 675 805 1008 1178 1256 1255 1157 1219 1136 1107 1066 989 912 872 832 784 731 680 619 559 513 456 423 414 419 442 481 523 543 504 472 469 495 520 541 581 669 818 970 1118 1184 1163 1113 1091 1069 1024 995 986 972 959 941 881 770 651 570 507 450 403 375 350 357 359 371 392 405 401 389 397 425 423 406 392 379 358 335 320 306 294 290 283 270 260 250 248 248 234 214 193 179 171 167 171 182 188 183 168 149 137 131 132 129 124 116 100 73 62 66 70 83 102 104 72 72 61 88 88 67
174 214 273 342 406 450 473 484 495 494 464 434 416 431 471 519 570 650 704 806 928 986 971 943 906 846 776 718 668 634 615 605 603 598 588 584 564 520 467 430 409 390 377 381 402 431 449 427 419 440 471 494 525 600 746 918 1034 1130 1183 1183 1153 1127 1099 1052 1005 986 984 1006 1026 969 848 728 642 580 518 449 386 337 333 335 337 337 329 310 285 282 298 318 323 322 318 308 291 281 273 263 257 253 247 240 238 241 231 212 191 174 159 148 136 129 128 121 106 89 81 83 91 98 98 91 80 67 56 48 42 42 47 54 55 42 44 42 40 35 33
95 137 195 264 327 369 388 395 404 413 401 394 396 419 462 525 608 682 711 753 747 720 695 657 589 540 500 469 451 442 438 441 462 467 471 473 457 423 387 364 344 308 269 245 246 263 275 268 282 335 404 454 495 575 725 862 979 1047 1081 1094 1088 1060 1032 1008 942 919 932 965 997 974 868 755 670 609 542 458 385 329 315 312 302 281 252 222 197 197 206 232 258 280 293 291 278 266 254 238 225 220 223 226 230 223 197 169 146 129 113 100 90 80 72 63 53 44 42 45 52 55 52 47 41 34 29 24 21 21 20 19 21 21 19 16 13 13 13
60 100 149 203 252 284 293 289 289 305 328 360 396 434 469 507 562 630 617 608 564 528 510 484 449 424 401 386 385 391 398 407 424 426 423 409 379 339 306 294 286 249 202 164 147 147 150 144 154 202 273 343 405 482 595 701 816 878 910 931 939 921 895 864 802 792 822 866 912 921 825 707 630 583 535 466 387 318 285 272 251 223 199 181 170 178 191 206 225 251 276 272 269 260 248 229 209 197 196 193 183 156 123 98 84 73 61 50 44 37 30 23 19 18 19 18 16 13 13 13 13 9 6 6 6 6 5 4 5 4 2 1 0 1 0
67 106 150 193 231 258 264 256 250 262 298 353 419 482 532 566 584 581 538 494 447 422 416 409 400 393 380 367 367 380 398 416 424 416 401 377 341 297 258 241 242 212 173 142 123 115 109 99 99 127 180 240 303 378 469 578 684 752 777 782 786 779 753 703 642 624 644 676 703 704 684 575 510 482 451 399 329 263 224 211 198 183 174 170 167 167 169 174 184 209 244 249 254 249 233 206 175 149 132 119 110 93 71 53 43 36 26 17 14 11 7 4 4 4 3 2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
84 120 161 202 231 252 261 261 261 273 305 365 441 517 570 587 572 543 494 456 420 404 410 420 415 413 406 388 380 389 405 410 404 382 351 314 276 241 217 209 214 192 161 139 130 130 130 123 118 133 170 214 261 321 395 488 594 653 658 642 633 621 591 530 474 440 413 390 388 377 394 345 325 335 340 314 261 203 157 141 136 133 135 140 142 136 129 127 136 159 193 206 209 208 196 168 131 99 72 62 58 50 38 27 20 14 7 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
100 127 163 200 212 219 226 238 257 283 315 366 438 515 568 576 548 518 492 479 462 447 448 460 456 459 459 443 431 435 443 428 393 364 335 302 274 253 232 219 210 189 168 158 161 169 168 154 142 146 169 203 245 302 379 391 464 513 519 497 468 438 397 344 299 243 185 151 139 126 139 148 166 191 208 202 169 128 96 79 72 72 79 93 100 98 92 89 97 117 143 159 160 158 159 142 102 72 52 36 26 20 13 8 12 10 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
127 144 172 193 185 172 168 177 203 240 281 328 389 459 510 527 518 504 500 511 518 511 492 471 456 457 457 447 440 446 457 447 400 370 342 313 295 282 257 221 194 175 165 164 169 169 157 136 125 127 140 159 187 250 390 375 369 372 368 351 320 285 250 214 162 108 67 39 27 22 24 39 64 93 113 116 89 71 57 49 44 43 45 55 65 73 76 77 80 90 105 120 119 105 142 185 130 41 25 13 7 4 2 6 27 21 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
155 160 170 171 156 138 127 130 147 176 208 248 299 353 399 432 452 462 470 482 489 486 468 440 419 410 407 395 379 372 372 368 339 306 276 252 235 222 206 187 162 147 139 137 137 136 128 117 112 109 101 88 82 112 242 266 257 256 258 248 226 190 150 110 65 33 18 6 1 2 4 14 32 57 83 97 84 64 54 50 45 38 34 42 52 63 71 75 74 71 73 80 80 64 109 183 126 27 15 6 2 1 0 3 21 15 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
156 149 143 134 124 114 106 105 112 126 145 170 212 252 288 321 349 369 380 379 370 370 372 362 344 343 340 323 300 277 259 245 234 209 193 184 179 175 170 165 154 147 144 139 135 135 134 131 121 105 83 57 33 25 61 92 130 164 180 177 166 132 91 53 22 6 1 0 0 0 0 2 13 39 78 128 129 79 65 74 74 60 48 48 53 61 70 77 76 63 54 49 41 30 29 29 16 8 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
138 120 104 93 91 94 98 101 103 107 115 127 155 180 199 215 231 246 256 254 243 244 247 242 239 246 250 246 238 224 204 190 186 177 167 162 163 165 164 166 174 177 173 161 146 141 144 145 136 117 94 67 38 19 13 25 54 86 108 113 113 82 50 25 9 1 0 0 0 0 0 0 7 35 104 232 270 125 69 90 100 87 70 65 68 72 78 86 90 71 55 42 27 15 7 2 5 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
142 117 96 83 82 91 101 105 103 102 103 106 121 133 139 141 142 143 146 145 138 134 136 142 152 164 174 182 192 193 183 176 174 170 164 158 154 162 179 180 196 198 189 172 155 144 141 146 142 122 95 67 37 17 10 12 23 40 56 63 57 35 20 10 3 0 0 0 0 0 0 0 3 17 49 99 116 58 41 68 90 98 99 100 106 107 102 98 96 77 60 42 23 8 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 0 0 0 0
196 164 132 108 95 94 97 95 88 84 79 78 81 85 86 81 72 64 61 59 55 52 52 61 78 99 116 128 141 147 143 137 133 137 147 163 151 135 179 184 197 195 183 167 151 136 121 120 119 102 76 52 31 17 13 15 23 35 42 40 27 13 6 3 1 0 0 0 0 0 0 0 0 1 4 11 8 6 15 33 56 80 104 120 130 124 106 87 75 59 42 29 16 7 4 3 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
217 186 154 123 101 89 82 71 56 41 32 30 31 33 34 29 20 14 12 11 11 9 10 14 26 50 64 72 77 80 77 71 64 68 85 122 119 88 119 134 147 150 144 131 113 94 77 74 76 67 49 31 19 14 12 14 28 46 56 48 23 7 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 8 20 35 53 70 78 73 57 40 26 18 12 8 4 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
194 170 143 116 78 56 40 27 16 8 4 4 4 5 5 4 2 0 0 0 0 0 0 1 3 13 20 24 24 24 23 19 15 19 24 40 45 35 38 45 58 68 71 64 48 32 24 29 34 32 22 11 5 3 2 5 19 41 56 45 14 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 13 16 15 12 7 3 2 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 1 0 0 0 0 0
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