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 5 6 6 6 6 6 7 7 8 9 9 9 10 11 13 13 13 11 10 9 9 11 12 12 11 9 8 8 8 8 7 7 8 8 7 6 5 5 6 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 10 11 11 11 10 9 8 7 7 7 8 8 8 9 9 9 9 8 7 7 6 6 7 8 9 8 6 5 5 7 8 9 9 8 8 8 7 6 6 6 6 7 7 7 8 9 9 8 8 7 7 8 10 10 10 10 10 9 8 8 9 10 10 11 10 10 10 10 10 10 9 8 7 7 7 7 8 7 7 7 8 8 7 6 5 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 12 12 12 11 9 8 8 8 7 7 6 6 7 7 7 6 5 5 nan
nan 5 5 5 5 5 5 6 7 8 8 8 8 8 10 12 13 13 12 10 9 8 9 11 12 11 10 8 8 9 9 9 8 9 9 8 6 5 5 5 6 7 6 7 7 8 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 10 11 12 11 10 10 9 8 7 7 7 8 9 10 10 10 9 8 8 8 7 7 7 8 8 7 6 6 7 8 8 8 8 8 8 8 7 6 6 6 6 7 8 9 10 10 10 10 9 8 8 8 10 11 11 11 10 9 7 7 8 9 9 9 9 9 9 9 10 11 10 9 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 9 9 9 8 8 8 8 9 11 14 14 13 11 10 9 9 9 8 8 7 6 6 7 8 8 7 6 6 6 nan
nan 6 6 5 5 4 5 5 6 7 7 7 7 7 9 11 12 13 12 11 9 8 9 10 10 10 10 9 9 9 10 10 10 10 9 8 7 6 5 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 11 10 9 10 11 11 11 11 10 10 10 9 8 8 9 11 12 12 11 11 11 11 11 11 10 10 10 9 9 8 9 9 9 9 8 8 9 9 8 7 7 7 7 7 8 9 10 11 11 11 11 11 10 10 9 10 10 11 12 11 10 9 9 9 9 10 10 9 9 9 9 10 11 11 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 7 7 6 5 5 7 9 10 9 9 9 9 9 9 10 11 11 10 9 8 8 8 8 7 7 6 6 6 7 8 8 8 7 6 6 nan
nan 7 6 6 5 5 4 5 5 6 6 6 6 6 7 8 10 12 12 11 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 7 6 6 6 6 6 6 7 8 9 8 8 8 8 8 8 9 10 10 9 10 11 11 12 11 10 9 9 9 10 10 11 12 12 12 11 11 10 11 12 12 12 13 13 13 14 13 13 13 12 11 11 10 10 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 11 11 11 11 11 11 10 9 9 9 10 10 10 10 9 9 9 9 8 8 8 9 10 10 10 10 9 8 8 8 7 7 6 6 6 8 9 9 9 9 9 9 9 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 nan
nan 7 6 6 6 5 5 5 4 5 5 5 5 5 5 6 7 8 9 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 6 6 7 8 8 9 9 9 9 9 9 9 10 11 11 10 10 11 12 12 12 12 10 9 9 9 10 11 12 12 13 12 11 10 11 11 11 11 12 12 13 13 13 13 13 12 12 11 11 12 12 12 12 12 11 11 11 12 13 13 13 12 12 11 11 10 10 10 10 11 11 11 12 12 11 11 11 10 10 11 11 11 11 11 11 10 9 9 10 10 10 10 9 9 8 8 8 8 7 8 8 9 9 10 10 9 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 6 6 5 4 5 6 7 7 7 7 7 7 7 8 8 7 6 6 7 9 9 9 9 nan
nan 7 7 6 6 5 5 5 5 4 4 4 4 5 5 5 5 6 6 7 8 9 10 9 9 8 7 8 8 8 9 9 8 8 8 8 9 9 9 10 8 7 7 8 8 9 9 9 9 10 10 10 10 11 11 12 11 11 11 11 12 13 13 13 11 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 12 12 13 13 14 13 12 12 13 14 14 13 13 12 11 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 10 10 10 9 9 9 9 9 10 10 9 8 8 8 8 8 7 7 7 8 9 9 9 9 9 8 7 7 7 7 7 8 9 9 8 8 7 7 6 5 5 5 5 4 4 4 5 7 8 8 9 9 8 8 8 8 7 6 5 7 9 9 9 9 nan
nan 8 7 7 6 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 6 7 8 9 9 8 8 7 7 8 8 8 8 8 8 9 9 9 10 10 10 8 8 8 9 9 9 9 9 10 11 10 10 11 11 11 11 10 10 10 10 11 12 13 12 11 10 10 10 10 9 9 10 10 10 10 9 7 7 7 8 8 9 10 10 11 11 11 10 10 10 11 12 12 13 13 13 12 13 13 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 8 7 7 7 8 9 10 10 10 9 9 9 8 8 8 8 8 8 8 7 6 6 6 6 6 6 6 6 6 5 5 5 6 7 8 8 9 10 9 8 8 7 7 7 7 7 8 8 9 8 nan
nan 9 8 8 7 6 5 5 6 6 5 5 4 3 3 4 4 5 5 5 5 6 7 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 8 8 8 9 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 9 9 9 9 9 8 8 8 8 8 9 9 8 7 6 6 7 7 8 9 10 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 11 11 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 10 10 9 7 7 7 8 8 7 7 8 9 9 10 10 10 10 10 9 9 9 9 8 7 6 5 4 4 5 6 7 8 8 7 7 7 7 7 8 8 7 7 8 9 9 9 8 7 8 8 8 7 7 8 8 8 nan
nan 9 9 10 9 8 7 7 7 7 7 6 5 3 2 3 4 5 5 6 6 6 6 7 8 8 9 9 9 10 10 10 11 11 11 11 11 11 10 10 9 8 7 7 8 10 11 10 9 8 8 7 7 7 6 6 6 6 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 6 6 6 6 7 7 8 9 11 11 11 10 10 9 10 10 11 10 10 11 12 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 9 8 8 8 9 10 10 9 9 9 9 9 10 10 9 7 7 8 8 8 8 7 7 7 8 8 9 10 10 10 10 10 10 9 7 6 5 4 4 4 5 7 9 9 8 7 7 8 9 10 10 8 7 6 6 7 8 8 8 8 8 9 9 8 8 9 8 8 nan
nan 9 10 11 11 11 10 9 9 9 8 7 6 5 4 4 4 5 5 6 6 6 6 7 8 8 9 10 11 12 13 13 13 13 12 13 12 12 11 11 10 9 8 8 8 9 10 10 9 8 7 6 6 7 7 7 6 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 9 10 10 10 10 10 10 10 10 10 9 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 10 10 10 10 9 8 8 8 9 9 10 10 9 9 9 9 9 9 9 8 8 8 9 9 8 7 6 6 7 7 7 8 9 10 11 11 10 8 7 7 6 6 5 5 7 8 8 8 7 7 7 8 10 11 11 9 7 6 6 7 8 8 8 8 8 9 9 10 10 10 10 9 nan
nan 9 10 11 12 13 13 12 11 11 10 9 8 7 7 6 6 5 6 6 7 7 7 8 9 9 10 11 13 13 14 13 12 12 12 13 13 13 12 11 11 11 10 10 9 9 9 10 9 8 7 6 7 8 9 8 7 6 5 5 4 4 5 5 5 6 6 7 7 8 7 7 8 8 8 7 6 6 7 7 8 8 8 7 8 8 9 10 10 10 10 10 10 9 9 9 11 11 10 10 10 10 9 10 9 9 9 9 9 9 9 9 8 9 9 9 10 10 9 9 8 8 8 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 7 6 6 6 7 7 7 7 8 9 10 10 9 8 9 9 9 9 8 8 8 8 7 7 7 7 7 9 10 11 11 10 8 6 6 6 7 8 8 8 7 8 9 10 10 10 10 10 nan
nan 11 11 11 12 13 14 13 12 11 11 10 9 8 8 8 7 7 7 7 8 8 8 9 9 9 10 11 12 12 11 10 10 9 10 11 12 12 12 11 11 11 11 10 10 10 10 9 8 7 6 6 7 8 9 9 8 7 6 5 4 4 5 6 6 6 6 7 8 8 9 9 9 9 9 8 7 7 8 9 8 8 7 6 6 7 8 10 10 10 10 10 9 9 9 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 8 8 8 7 8 9 9 9 9 9 9 10 10 9 9 9 9 8 7 5 5 6 7 7 7 7 8 8 9 8 7 8 11 12 12 12 11 10 9 8 7 6 6 6 8 8 9 9 10 10 8 6 5 5 6 7 8 7 7 8 8 9 9 9 9 9 nan
nan 12 11 11 11 11 12 13 12 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 10 11 11 11 11 10 10 10 10 11 11 10 8 7 6 6 7 7 8 8 8 7 6 5 5 6 7 7 7 7 7 7 8 8 9 10 10 10 9 9 9 9 9 9 9 7 6 5 5 6 7 9 11 11 10 9 9 9 9 10 10 10 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 8 8 7 7 8 8 9 9 9 10 11 11 11 10 9 9 8 7 6 6 6 7 7 8 8 7 7 7 7 7 7 9 11 12 13 12 12 12 11 9 7 6 6 6 7 7 7 7 8 8 6 5 5 5 6 6 6 7 7 8 8 8 7 7 7 7 nan
nan 10 10 11 10 10 10 10 11 11 10 10 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 10 8 7 6 6 6 7 7 8 9 8 7 6 6 7 8 9 8 8 8 8 8 8 9 10 9 9 8 9 10 11 11 10 9 8 6 5 5 5 7 9 10 10 10 9 8 9 9 10 10 9 8 8 8 8 8 8 8 8 9 9 8 8 9 10 10 10 10 9 8 8 8 8 9 9 8 8 8 9 9 9 9 10 11 12 11 11 11 10 8 6 6 6 7 7 8 8 8 7 7 7 7 7 8 9 10 11 11 11 11 12 12 11 9 7 6 6 7 6 6 6 7 7 6 5 5 5 6 6 6 7 7 7 7 7 7 7 7 6 nan
nan 8 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 11 9 7 7 7 7 8 9 9 10 9 7 6 6 7 8 8 8 8 9 10 9 8 8 7 7 7 8 10 11 12 12 11 9 8 6 6 6 6 6 7 9 10 9 9 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 8 8 9 9 9 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 11 10 11 12 12 10 8 8 8 8 8 8 9 8 8 7 7 7 8 8 8 9 9 9 9 10 11 11 11 10 8 8 8 8 7 7 7 7 7 6 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 nan
nan 7 7 8 9 10 10 10 10 10 10 11 11 11 12 12 13 13 12 11 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 10 9 9 9 9 9 9 10 11 11 12 12 12 10 8 8 8 9 9 10 11 11 10 8 6 6 6 7 7 8 9 10 11 10 8 7 7 7 8 9 10 11 12 11 10 9 7 7 7 8 8 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 8 8 9 10 10 9 8 8 8 8 9 10 10 10 9 9 9 9 10 10 10 10 10 10 11 12 12 11 11 11 11 11 10 9 9 8 8 8 9 8 8 8 8 9 8 8 9 10 10 10 10 10 9 9 9 8 8 8 7 7 6 5 5 4 5 5 6 6 6 6 6 6 7 7 7 7 nan
nan 8 7 7 8 10 11 11 11 10 11 11 12 12 13 14 14 14 13 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 11 12 12 11 10 9 10 10 11 12 13 13 11 9 7 6 6 6 7 8 9 10 10 10 10 9 9 8 9 9 10 11 11 10 9 8 7 7 9 10 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 8 8 9 9 9 9 9 8 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 11 12 12 13 13 13 13 11 10 10 9 9 9 10 10 9 9 8 8 8 9 9 10 10 10 11 10 10 9 9 9 9 8 7 7 7 6 6 5 4 5 5 5 6 6 6 6 6 6 7 7 nan
nan 9 8 7 8 10 11 12 13 12 12 12 12 12 13 13 13 12 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 10 11 11 11 11 11 11 12 12 14 14 13 11 10 9 8 8 7 6 7 8 9 10 10 10 10 10 9 9 10 11 11 10 9 8 7 6 7 8 9 8 7 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 12 11 11 10 10 10 10 10 10 10 9 9 8 8 9 9 9 10 10 10 10 10 9 9 8 8 8 7 7 7 7 6 6 5 5 5 5 5 6 6 6 6 6 6 7 nan
nan 10 10 9 9 10 11 13 14 14 13 12 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 12 13 13 13 12 11 10 10 11 10 8 7 7 8 9 10 10 10 10 9 9 9 10 10 10 10 9 8 7 6 6 6 6 6 6 5 5 5 5 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 9 9 10 10 11 10 10 9 9 10 10 10 10 10 10 10 9 9 10 10 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 6 6 6 6 5 5 5 5 5 6 6 6 7 7 7 nan
nan 11 11 11 11 11 12 13 13 13 13 12 12 12 11 11 10 10 10 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 9 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 10 11 12 12 12 12 11 11 11 12 12 11 9 9 8 9 9 9 9 9 9 9 9 9 9 10 10 9 8 7 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 8 8 7 7 7 7 6 6 6 6 5 6 6 7 7 7 7 nan
nan 11 12 12 12 12 11 10 11 11 12 12 12 11 11 10 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 9 8 8 7 7 7 7 7 8 8 8 9 9 8 8 8 9 9 10 11 11 11 11 11 12 13 13 12 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 6 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 10 10 10 9 9 8 9 10 10 10 11 11 11 10 10 10 10 10 9 9 9 8 8 8 7 7 6 6 5 6 7 7 8 9 10 10 10 9 9 9 9 10 9 8 7 7 7 7 7 8 8 8 nan
nan 11 12 12 11 10 8 8 9 11 11 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 7 7 7 7 7 8 8 9 9 9 8 8 8 8 9 9 10 11 11 11 11 12 12 12 11 10 9 8 8 8 8 8 8 8 8 8 7 8 10 10 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 10 11 10 9 8 8 7 7 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 7 7 7 6 6 7 7 8 8 9 9 9 9 10 11 12 13 13 12 10 9 9 9 9 9 9 9 nan
nan 11 12 12 10 8 7 8 8 9 10 10 10 9 8 8 8 8 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 12 12 11 11 11 10 9 9 9 8 9 9 9 8 8 8 9 10 9 8 6 6 6 6 7 7 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 8 8 8 8 8 8 8 9 10 11 11 10 9 8 7 7 7 8 8 8 8 9 9 10 10 11 11 10 10 8 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 12 12 12 12 11 11 11 10 10 10 nan
nan 11 11 10 9 8 8 8 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 8 8 8 9 9 8 6 5 5 6 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 8 8 7 7 8 8 8 8 9 9 10 11 11 11 10 8 8 9 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 8 8 8 8 8 8 9 10 11 11 11 11 12 11 11 nan
nan 10 9 9 8 9 9 8 7 6 6 6 7 7 6 6 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 11 10 10 9 9 9 9 8 8 8 8 8 7 6 5 5 5 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 7 8 8 9 10 11 11 10 8 8 9 10 10 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 5 5 6 7 8 8 9 10 11 10 nan
nan 10 9 8 8 9 9 9 8 7 6 5 6 6 6 6 7 8 8 8 7 7 6 6 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 7 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 10 10 10 9 9 9 9 8 9 9 8 7 6 6 5 6 7 7 8 7 7 7 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 6 6 6 7 7 7 7 7 8 8 7 7 8 8 8 8 7 7 7 8 8 9 10 9 8 8 9 9 9 9 10 10 10 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 10 9 9 8 7 7 6 5 5 6 6 6 6 7 9 9 nan
nan 10 9 9 10 10 10 10 9 8 7 6 6 6 6 6 6 7 8 8 8 7 6 6 7 7 7 7 7 8 8 8 8 8 8 9 8 8 7 7 7 8 9 9 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 8 7 8 9 10 11 10 9 8 8 8 8 9 9 8 6 6 6 7 8 8 9 8 8 7 6 6 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 7 7 6 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 8 7 8 9 10 10 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 nan
nan 10 10 10 11 11 11 11 11 10 9 8 7 7 7 6 6 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 8 8 10 11 11 10 9 8 7 8 9 10 9 7 6 6 7 9 10 10 10 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 10 10 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 6 7 7 7 7 7 8 8 7 6 6 7 8 9 8 8 8 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 nan
nan 11 11 11 12 12 12 12 12 11 11 11 10 10 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 6 6 5 6 6 6 7 7 8 8 8 8 8 8 9 9 10 10 10 11 11 10 9 9 10 10 10 9 9 8 8 9 10 11 10 7 6 7 9 9 10 10 10 9 8 7 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 7 6 6 6 6 7 7 7 7 6 5 5 7 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 9 10 10 11 11 12 12 12 12 10 9 9 nan
nan 12 12 12 12 12 13 12 12 12 12 13 13 12 11 10 10 10 9 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 9 9 9 10 11 11 11 11 11 10 9 9 9 9 10 9 9 10 12 12 10 8 8 9 10 11 11 11 11 10 9 8 9 9 9 8 8 9 9 9 9 9 10 10 10 10 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 6 6 6 7 7 7 7 6 5 6 7 8 8 8 7 7 7 7 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 10 11 11 11 11 12 13 13 12 11 9 8 8 nan
nan 11 12 12 13 13 13 12 12 12 12 12 12 12 11 11 11 12 10 7 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 6 7 7 8 8 8 8 8 8 8 9 9 10 11 11 11 11 10 9 8 9 10 11 11 11 11 11 12 10 10 11 11 12 12 13 13 12 11 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 7 7 7 8 7 6 6 6 7 8 8 8 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 12 12 12 13 13 14 13 11 9 7 7 7 nan
nan 11 12 13 13 13 13 13 12 12 11 10 9 9 9 10 11 12 11 8 7 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 10 10 9 8 9 11 12 11 10 10 10 11 11 12 13 13 13 14 14 14 13 12 12 12 12 11 10 10 10 10 9 9 10 10 10 10 9 9 8 8 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 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 9 8 8 8 7 7 6 6 6 7 7 7 8 8 9 9 9 10 10 10 10 10 10 11 11 11 12 11 11 11 12 12 12 13 13 13 12 10 8 7 7 7 nan
nan 12 12 13 13 13 13 13 13 13 12 10 9 8 9 9 10 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 8 8 9 9 10 10 10 9 9 9 8 8 8 9 9 9 10 10 10 10 9 9 10 11 11 10 9 9 10 10 12 13 14 14 13 13 13 12 12 11 11 11 12 11 11 11 11 10 10 10 10 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 8 8 7 8 8 9 9 10 10 10 10 9 8 8 7 7 7 7 7 7 8 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 12 12 11 10 9 8 7 7 nan
nan 13 14 14 15 15 14 14 14 14 14 12 11 10 10 9 9 10 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 10 10 9 9 10 11 13 14 14 13 13 12 11 11 10 10 10 9 10 11 12 12 11 10 10 10 10 10 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 9 8 8 8 9 9 10 10 10 11 11 10 10 9 9 9 8 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 8 8 nan
nan 14 15 15 16 16 16 16 15 14 14 13 12 11 10 10 9 9 10 10 9 9 8 8 7 7 6 6 7 7 7 7 6 7 7 7 7 7 7 8 8 8 9 9 10 11 12 12 12 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 11 11 12 13 13 12 11 11 10 10 10 9 9 9 10 11 12 12 11 10 10 10 10 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 7 6 6 7 7 7 8 8 8 8 7 7 7 7 6 7 7 8 9 9 9 9 9 10 10 10 9 9 9 10 11 11 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 9 9 9 9 9 9 8 8 8 8 9 9 10 9 9 9 9 nan
nan 13 14 15 16 16 16 15 14 13 12 11 11 11 10 10 9 9 10 10 9 9 9 8 8 7 7 6 7 7 7 6 6 6 6 7 7 7 7 8 8 9 9 10 11 12 13 13 12 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 6 5 5 6 7 8 8 8 8 7 7 7 6 6 6 6 7 8 7 7 7 9 10 11 11 11 10 10 9 9 10 11 11 11 11 11 11 10 10 10 10 11 11 10 10 9 9 9 9 9 9 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 nan
nan 11 13 14 14 14 14 13 12 11 9 9 10 11 10 10 9 9 9 10 10 9 9 9 8 8 7 7 7 8 8 7 6 6 6 6 7 7 7 8 8 8 9 11 12 13 14 13 12 10 10 10 9 9 9 9 8 8 8 9 9 10 10 10 10 10 11 11 11 11 11 11 10 9 9 9 9 9 9 9 8 9 10 10 10 10 9 8 8 9 10 10 10 9 8 8 8 7 7 7 7 7 7 7 8 9 9 8 8 8 8 8 8 8 7 6 6 6 7 8 8 8 8 8 7 7 7 6 5 4 5 6 7 6 6 7 9 10 11 11 11 11 11 10 9 9 10 10 11 11 11 10 10 10 11 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 nan
nan 11 12 13 13 12 12 11 11 10 9 9 9 10 11 11 11 10 10 10 10 10 10 9 9 8 7 7 8 9 9 9 8 8 7 7 7 6 7 7 7 8 9 11 13 15 15 13 12 11 10 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 11 11 11 12 11 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 11 10 9 8 7 7 6 6 6 6 6 7 8 9 9 9 9 8 8 8 8 8 8 7 7 7 8 9 9 9 9 8 8 7 7 7 6 5 5 5 6 7 7 7 8 9 10 10 10 10 10 10 10 9 9 9 9 10 10 11 12 12 12 12 11 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 8 7 7 nan
nan 12 11 11 10 10 11 11 11 11 10 10 9 10 11 12 12 11 11 11 11 11 10 10 9 8 7 8 9 10 10 10 9 9 8 7 7 6 6 7 7 7 8 11 13 14 14 13 12 11 11 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 10 11 11 12 11 10 9 9 9 9 9 9 9 9 10 11 11 11 10 10 10 10 11 10 10 10 9 9 9 8 7 7 6 6 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 8 7 6 6 7 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 13 14 14 13 11 10 10 9 9 9 9 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 nan
nan 10 9 8 8 9 10 11 11 11 11 10 9 10 11 12 11 11 11 11 11 11 10 10 9 8 7 7 9 10 11 11 10 9 8 7 7 7 7 7 7 7 8 10 11 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 9 9 9 9 9 9 9 10 11 12 12 11 11 10 10 10 10 9 9 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 7 8 9 9 10 10 9 8 7 6 6 7 7 8 8 9 9 9 9 10 11 13 15 16 15 12 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 7 nan
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nan 12 13 13 13 12 13 13 13 12 10 9 9 8 8 8 8 8 8 9 10 11 12 12 12 11 11 12 13 15 16 15 14 14 13 13 13 13 12 12 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 9 9 9 10 10 10 10 9 9 10 12 13 14 13 12 11 10 8 8 7 6 5 5 6 7 9 9 10 11 11 11 10 9 8 8 7 7 7 8 8 9 11 13 15 16 14 11 8 5 4 4 5 7 8 10 11 11 10 9 10 10 11 8 4 3 4 6 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 11 11 11 11 12 13 14 14 12 11 10 9 8 8 8 8 8 8 9 9 10 11 11 11 11 10 11 12 14 15 15 14 14 13 13 13 12 12 11 11 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 12 14 15 14 12 10 8 6 5 5 4 3 3 4 6 9 10 10 10 10 10 9 9 8 8 7 7 7 7 7 8 9 11 14 16 14 13 11 8 7 5 5 6 7 8 10 10 11 10 11 11 12 9 5 3 3 6 8 8 8 9 9 9 9 9 9 8 8 8 8 nan
nan 10 10 10 11 12 13 14 14 13 12 10 9 8 8 8 8 7 7 7 8 9 10 11 11 11 11 11 12 13 14 15 14 14 14 13 13 12 12 11 10 10 10 10 11 11 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 10 10 9 9 9 10 11 11 11 11 10 9 9 10 11 11 11 10 10 10 10 10 9 9 12 15 16 15 12 10 8 5 3 2 1 -0 -0 1 5 8 10 10 10 10 10 9 9 8 7 7 8 7 7 7 7 8 9 10 12 12 13 13 12 10 9 8 7 8 9 10 11 11 11 11 12 12 10 6 4 3 5 7 7 7 7 8 9 9 10 10 9 9 9 9 nan
nan 10 11 11 11 12 13 14 14 13 12 10 8 8 7 7 7 7 7 7 7 8 10 11 12 12 11 11 12 13 14 15 15 15 14 14 13 12 12 10 10 9 9 10 11 11 12 13 13 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 12 11 11 11 11 11 11 11 11 10 9 9 9 10 9 9 9 9 9 9 9 10 10 11 11 10 9 9 10 10 11 11 11 10 9 9 10 10 10 10 10 10 10 10 10 9 9 11 15 16 15 13 10 8 6 4 2 0 -1 -3 -2 2 6 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 10 12 15 15 14 12 11 10 10 11 11 12 12 12 12 12 12 10 8 5 3 4 5 6 7 6 7 8 9 9 10 10 10 10 10 nan
nan 11 11 11 12 13 14 15 15 14 12 10 9 8 7 7 7 7 7 7 8 9 11 13 14 13 12 11 12 12 14 15 15 15 15 14 13 12 11 10 9 9 9 10 11 12 13 14 14 15 15 15 15 15 15 15 15 14 14 14 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 8 8 9 10 11 12 12 10 9 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 9 9 11 14 16 16 14 10 9 7 6 4 3 1 -1 -2 0 4 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 10 12 15 15 15 14 13 12 12 12 12 12 12 12 12 12 12 11 9 5 2 2 4 6 8 7 7 7 8 9 9 10 10 10 11 nan
nan 11 11 11 13 14 15 16 16 15 13 12 10 8 7 7 7 7 8 9 10 12 14 15 15 13 12 11 11 12 13 15 16 16 15 14 13 12 11 10 10 10 10 11 11 13 14 15 15 15 15 15 15 15 15 15 15 14 14 14 13 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 11 12 12 11 10 10 10 11 11 11 10 10 10 11 11 10 10 10 9 9 9 9 9 9 10 13 16 16 14 11 9 8 7 6 5 4 2 -0 -1 2 6 8 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 12 13 14 15 14 13 12 11 12 12 12 12 12 12 12 12 10 7 3 1 2 6 9 9 9 9 9 9 9 9 9 9 10 nan
nan 11 11 12 12 14 15 16 17 17 15 13 11 9 8 7 7 8 10 12 14 16 17 16 15 13 11 11 11 12 13 15 16 16 16 15 13 12 11 10 10 11 11 12 12 13 14 15 15 15 15 15 15 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 10 10 9 10 11 11 10 10 10 10 9 8 8 8 9 10 11 11 11 10 10 10 10 11 11 10 10 10 10 10 11 11 11 10 9 9 9 9 8 9 10 13 16 17 15 12 9 8 7 7 7 6 4 1 -1 -0 3 6 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 13 14 14 12 11 11 11 11 12 12 12 11 12 12 11 9 5 2 2 4 8 9 10 10 9 9 9 8 7 6 7 nan
nan 11 11 11 11 12 14 15 17 17 16 14 12 10 9 8 8 10 12 14 16 18 18 16 14 12 11 10 11 12 14 15 16 16 15 14 12 11 11 11 11 12 13 13 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 10 10 9 10 11 11 11 11 10 10 9 9 8 8 9 9 10 10 10 10 10 9 10 10 10 10 10 9 9 10 10 11 11 11 10 9 9 9 9 8 8 9 11 14 16 16 13 10 9 8 7 7 7 6 3 -1 -1 1 5 7 8 7 7 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 11 12 13 13 11 11 11 11 11 11 12 11 11 11 11 11 11 8 4 2 3 7 9 10 9 8 8 9 9 7 4 4 nan
nan 11 11 10 11 11 13 15 17 17 16 14 13 11 10 10 11 12 14 16 17 18 17 15 13 11 10 10 11 12 14 16 17 16 15 14 12 11 11 12 13 14 14 15 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 13 13 13 13 13 12 12 11 10 10 9 10 11 11 11 11 10 10 9 8 8 9 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 10 10 11 11 11 10 10 9 9 10 10 10 9 8 10 13 15 14 12 10 9 8 8 7 7 4 1 -1 -0 4 7 7 7 7 6 6 6 6 7 8 8 9 9 9 9 10 10 10 10 11 11 12 13 12 11 11 11 11 11 11 11 11 11 11 11 12 13 11 6 3 3 7 11 11 8 7 7 8 9 6 4 4 nan
nan 12 11 11 11 11 13 15 16 17 16 15 13 11 11 12 13 15 16 17 17 16 14 12 10 9 8 9 11 13 14 16 17 17 16 14 12 12 12 13 14 15 15 15 14 14 13 13 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 9 9 10 10 10 10 11 11 10 9 9 9 10 11 11 11 10 10 10 10 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 9 10 10 13 14 11 9 8 9 11 13 13 12 10 9 8 8 8 6 2 -0 -2 1 5 7 7 6 4 5 6 7 7 7 7 8 9 10 10 10 11 11 11 11 11 12 13 13 12 12 12 11 11 11 11 11 11 11 11 12 14 12 9 6 6 10 13 12 9 7 7 7 7 5 4 3 nan
nan 12 11 11 12 13 14 16 17 17 17 15 13 12 12 13 14 15 16 16 15 14 12 10 9 8 8 9 11 13 15 16 17 17 16 15 14 14 15 15 16 16 15 15 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 10 10 10 10 9 9 8 8 9 9 9 10 10 10 10 10 13 15 15 13 11 7 6 9 12 14 13 11 9 8 8 7 5 2 -1 -1 2 5 6 5 4 5 7 9 8 6 6 7 9 10 10 11 12 12 11 11 11 13 13 13 12 12 12 12 12 12 11 11 11 11 11 12 13 13 12 10 10 12 13 12 10 8 8 7 7 5 3 2 nan
nan 12 12 12 12 14 15 17 17 18 17 15 14 13 13 14 14 15 14 14 14 13 11 9 8 7 7 9 11 13 14 16 17 17 17 17 17 17 17 17 17 16 15 14 13 13 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 11 11 11 12 13 13 13 13 12 12 11 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 10 9 9 10 10 10 10 9 9 8 8 8 9 9 10 10 10 10 10 10 12 15 16 16 10 5 6 9 14 14 12 10 9 9 8 7 5 3 1 2 3 4 4 4 6 9 10 9 7 6 7 8 9 10 11 11 11 10 11 12 14 14 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 14 14 14 13 11 10 9 8 8 6 4 2 1 nan
nan 12 12 12 12 14 16 17 17 17 17 15 14 14 14 14 14 13 13 13 13 13 12 9 8 7 8 9 11 12 14 15 17 18 18 19 19 19 18 17 16 15 14 13 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 12 13 13 13 13 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 9 10 10 9 9 9 9 10 10 10 9 8 7 8 9 9 9 10 10 10 10 10 9 10 13 17 19 14 8 6 7 10 12 11 10 9 9 9 9 8 7 5 5 4 3 1 2 4 8 10 10 10 9 9 9 10 10 10 10 10 9 9 10 12 12 12 11 11 12 12 12 12 12 12 11 11 11 10 9 9 11 14 15 15 13 11 10 10 9 8 6 3 1 2 nan
nan 12 11 11 12 14 15 16 16 16 16 15 15 14 14 14 13 12 12 12 13 13 12 10 8 7 8 9 10 12 13 15 17 18 20 21 21 20 19 17 15 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 12 12 13 13 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 7 8 9 10 10 9 9 9 9 10 10 9 9 8 7 7 8 9 9 9 10 10 10 10 9 10 12 16 20 18 13 9 7 7 8 8 9 9 9 9 9 9 9 9 8 7 4 1 -0 1 3 6 10 11 12 11 11 11 11 11 11 10 8 7 7 9 10 11 11 12 12 12 12 12 12 12 12 12 11 10 9 8 9 12 13 14 13 12 11 11 10 8 6 4 3 4 nan
nan 10 10 11 12 13 14 14 15 15 15 14 15 15 14 13 12 10 10 12 13 13 13 10 8 7 8 9 10 11 13 15 17 19 21 22 22 21 19 16 15 13 12 12 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 8 9 10 10 10 9 8 8 9 10 10 10 9 9 9 10 10 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 13 17 18 17 15 11 8 7 6 7 7 8 9 9 10 10 10 10 9 7 4 1 -1 -2 1 6 10 12 12 11 11 11 11 11 10 8 6 6 7 9 10 11 12 12 12 12 12 12 12 12 13 13 12 10 9 9 10 11 12 12 12 12 12 10 8 7 6 6 8 nan
nan 10 11 11 12 12 13 13 13 14 14 14 14 14 14 12 11 9 10 11 13 14 13 11 9 8 8 8 10 11 13 15 17 20 22 23 23 21 18 16 14 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 11 11 11 12 12 12 12 11 11 10 10 9 9 9 9 9 8 7 7 8 9 10 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 12 15 18 19 17 13 10 9 8 8 8 9 10 10 10 11 11 11 10 8 5 0 -3 -1 3 7 10 10 9 8 8 8 8 8 7 7 7 9 10 11 12 12 12 12 12 12 12 12 13 15 16 15 14 12 11 10 11 11 12 12 12 11 9 8 8 8 11 12 nan
nan 11 11 11 12 12 13 12 12 12 13 13 13 13 12 11 10 9 9 11 13 14 14 11 9 8 8 8 10 11 13 15 18 21 23 24 23 20 18 16 14 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 11 12 12 11 11 11 10 10 10 10 9 9 9 8 7 6 7 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 13 17 20 20 19 17 16 14 13 12 12 11 10 10 11 11 11 11 10 9 5 0 -1 0 4 8 9 8 7 5 5 6 7 8 8 9 10 11 12 12 12 12 12 13 13 13 12 13 15 17 17 17 16 14 12 11 12 12 11 10 9 8 8 9 11 13 13 nan
nan 12 11 11 11 12 11 11 11 11 12 12 12 11 11 10 10 9 9 11 13 14 14 12 10 8 8 8 10 12 13 15 18 21 23 23 22 19 17 16 14 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 12 11 11 10 10 10 10 10 10 10 10 9 8 7 6 7 8 9 10 10 9 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 14 18 20 21 21 21 19 18 17 16 14 13 12 12 13 12 12 12 11 9 5 2 0 3 8 9 9 7 5 5 6 8 9 11 12 12 12 12 12 12 13 13 13 13 13 12 11 12 14 15 16 16 15 13 12 12 12 11 9 7 8 9 11 12 12 12 nan
nan 11 11 11 11 11 10 10 9 10 10 11 11 10 11 10 9 9 9 11 12 13 13 12 10 9 8 9 10 12 14 15 18 20 22 21 20 18 17 15 14 12 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 10 9 9 9 9 10 10 10 10 10 8 8 8 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 15 17 18 19 18 18 18 19 18 17 17 18 19 18 16 15 14 13 11 9 7 8 11 12 12 10 8 8 9 10 11 13 14 14 13 12 11 12 12 11 11 10 10 9 7 8 10 13 16 16 15 14 13 13 12 11 9 8 9 10 12 11 11 10 nan
nan 10 10 10 10 10 10 9 9 9 10 10 11 11 11 10 10 10 10 10 10 11 12 12 11 10 9 10 11 13 14 15 17 19 20 19 18 17 16 14 13 12 11 11 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 10 9 9 9 9 10 10 11 10 10 10 9 9 9 10 10 10 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 13 14 14 14 16 19 21 21 21 22 24 25 23 21 19 18 17 17 16 16 16 16 16 15 14 14 13 12 12 12 13 13 12 10 9 9 9 8 8 8 8 7 6 6 8 13 17 18 17 16 15 14 13 11 10 10 10 11 11 10 10 9 nan
nan 10 10 10 10 10 10 9 9 10 10 11 11 11 11 10 10 10 10 9 9 10 11 12 11 11 11 11 12 13 14 15 17 18 18 17 16 15 14 14 13 12 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 11 10 9 8 8 9 10 10 10 10 10 10 10 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 10 10 11 14 17 19 19 19 19 22 25 25 25 23 20 19 17 16 16 16 16 17 17 17 17 16 15 12 11 11 11 11 10 9 9 10 10 10 10 10 10 9 9 10 13 16 17 18 17 16 14 12 12 11 11 10 10 10 10 9 9 nan
nan 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 10 10 11 13 13 12 12 12 13 13 14 15 16 16 15 14 14 13 13 12 12 11 11 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 9 8 8 9 9 9 9 9 10 11 10 9 9 9 9 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 10 12 13 14 13 13 13 15 17 18 19 19 18 16 14 12 11 11 12 13 14 15 15 16 16 15 13 13 14 13 12 11 11 13 14 14 13 12 12 11 10 10 11 12 13 14 14 14 13 12 11 11 11 11 10 10 10 10 10 nan
nan 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 11 14 15 15 14 14 13 13 13 13 14 14 14 13 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 9 9 10 11 10 9 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 7 7 8 8 9 10 11 11 11 11 10 10 11 11 12 13 14 14 13 12 10 10 10 11 12 12 13 14 16 16 15 15 15 14 13 12 12 12 13 13 13 12 11 10 9 8 9 9 9 10 10 10 10 10 10 11 11 11 11 12 11 12 14 nan
nan 11 11 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 11 14 16 16 17 16 14 12 12 12 12 13 13 13 13 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 9 10 11 11 10 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 8 7 6 5 5 6 7 9 10 11 11 11 10 10 10 10 10 11 12 13 12 11 9 8 9 10 11 11 12 13 13 13 13 13 12 12 12 11 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 12 14 nan
nan 11 11 10 10 10 11 12 12 12 11 11 10 10 9 8 8 8 9 9 9 9 9 11 13 16 18 19 18 15 13 12 11 12 12 13 13 13 13 12 12 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 10 11 11 11 11 10 10 11 11 11 10 9 8 8 9 10 10 10 10 10 10 9 9 10 10 11 11 11 10 10 9 10 10 9 8 8 9 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 8 8 8 9 10 11 11 11 10 8 7 5 2 1 0 1 3 5 7 9 10 10 10 10 9 10 11 13 14 12 9 6 5 6 8 10 10 10 11 11 11 11 10 11 10 11 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 12 nan
nan 11 11 10 10 11 12 13 13 12 11 10 9 8 8 8 8 8 8 9 9 9 9 10 13 16 18 20 19 17 14 12 11 11 12 13 13 13 13 13 12 11 10 10 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 11 12 12 11 11 10 10 10 11 10 10 9 8 8 9 10 10 11 11 10 9 8 8 8 9 11 12 13 11 9 8 8 7 6 5 4 5 7 9 9 10 10 11 11 11 10 10 10 10 10 9 8 8 9 9 10 11 13 14 13 12 10 8 6 4 2 -1 -2 -1 0 2 4 6 8 8 7 6 7 9 14 15 12 8 3 -0 2 6 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 8 8 8 8 8 8 8 8 9 nan
nan 10 10 10 11 12 13 14 13 12 11 9 8 8 7 7 7 8 8 9 10 10 10 10 12 15 18 20 19 17 14 13 12 12 13 14 14 14 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 10 11 11 11 11 11 10 9 9 10 10 9 8 8 9 9 10 11 12 12 11 9 7 5 5 5 7 10 13 14 13 10 8 6 3 2 0 0 2 5 6 8 9 9 9 10 10 10 9 9 9 8 7 7 8 9 10 11 13 15 15 14 12 10 10 8 7 5 2 1 0 0 1 3 5 5 4 3 4 7 12 15 12 7 1 -3 -0 4 8 10 10 10 10 10 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 nan
nan 10 11 11 12 12 14 14 14 12 10 9 8 7 7 7 8 8 9 10 10 10 10 10 12 14 17 19 18 16 14 12 12 13 14 14 14 14 14 13 13 12 12 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 10 10 9 9 9 9 10 10 11 13 14 15 13 10 7 4 2 2 5 8 12 14 13 11 7 4 2 0 -2 -2 0 2 4 5 5 6 7 7 8 9 10 10 8 6 4 4 5 6 8 9 11 12 13 12 12 12 11 11 10 8 6 5 4 4 5 6 6 5 4 4 7 11 12 11 8 2 -1 2 5 8 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 nan
nan 11 11 12 13 14 14 14 13 12 10 9 7 7 7 8 8 9 9 10 11 11 11 11 12 15 17 18 16 14 12 11 11 13 15 15 15 15 14 14 13 13 12 12 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 14 17 18 17 15 10 5 2 1 2 7 11 11 11 8 6 5 3 1 0 1 1 2 2 1 1 1 2 5 8 12 14 13 10 6 3 2 3 4 5 7 9 10 10 11 11 11 11 11 11 10 9 9 8 8 8 9 8 8 8 9 11 11 9 6 4 4 6 8 9 10 10 10 10 10 10 10 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 9 9 9 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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
82 87 85 113 135 139 142 138 125 106 85 66 58 60 73 91 112 132 134 151 160 187 218 246 284 352 402 436 441 439 428 412 412 411 399 391 397 407 403 379 336 301 292 276 259 243 222 197 197 192 196 193 188 183 175 172 173 180 188 195 198 198 196 196 194 195 196 192 182 171 173 181 177 171 166 159 153 147 139 132 127 128 124 106 97 80 66 53 43 39 43 48 54 64 76 91 105 116 124 127 103 97 94 94 96 98 100 95 85 83 73 55 38 30 40 50 44 64 93 93 52 22 9 5 29 58 49 0 0 0 0 0 3 9 13 6 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
42 51 57 83 106 123 145 159 157 141 114 82 58 50 56 72 94 115 125 139 162 193 218 239 274 349 427 472 478 463 441 423 413 401 395 398 418 423 399 360 312 288 286 271 245 226 219 202 204 201 195 192 190 187 180 171 172 183 191 193 191 191 197 202 204 203 197 188 179 180 191 205 208 206 204 201 196 188 176 164 153 151 150 138 131 116 99 92 83 75 78 85 81 91 100 107 116 125 129 147 110 98 98 103 108 113 117 113 100 90 70 47 36 36 46 56 26 14 33 56 45 24 31 38 28 22 26 12 19 25 21 11 7 11 14 6 1 0 0 0 0 0 0 0 0 0 1 2 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
20 34 49 67 87 106 123 143 161 170 160 128 83 61 58 71 92 115 131 149 178 206 218 224 256 336 441 486 483 465 456 453 434 396 391 410 444 449 411 361 319 289 266 255 235 216 210 206 205 211 197 187 184 179 170 163 172 190 205 203 190 188 194 196 198 201 199 192 188 198 213 229 237 241 241 242 244 245 232 211 186 170 164 158 153 140 123 120 118 114 116 121 117 115 115 119 121 121 127 155 135 126 133 146 155 158 165 160 147 129 102 80 81 96 104 138 83 30 31 44 60 85 111 113 83 65 83 82 107 116 79 34 12 11 7 4 2 1 0 0 1 0 0 0 0 0 1 2 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
13 27 41 56 74 94 112 130 151 175 192 186 138 95 71 68 82 106 134 164 197 226 237 239 258 315 400 433 423 400 384 379 382 379 390 426 460 457 413 357 323 280 241 236 229 209 195 204 200 209 201 187 178 172 161 153 165 179 200 208 202 200 195 185 183 196 204 198 188 193 211 230 241 246 252 264 281 296 296 276 246 220 205 194 180 168 156 152 151 150 150 149 145 140 135 137 139 128 121 157 158 152 164 191 213 225 234 235 231 219 202 189 196 233 206 210 178 122 75 69 125 196 178 152 132 129 170 214 231 210 121 41 12 6 3 2 1 0 0 0 1 0 0 0 0 0 0 1 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
7 16 28 42 58 77 98 119 139 162 187 204 182 140 110 95 93 104 127 159 195 213 211 202 210 252 316 348 343 323 313 319 336 355 371 414 441 435 402 358 314 276 234 211 202 200 197 188 186 201 204 192 179 173 167 156 160 166 183 198 200 193 175 170 170 188 201 197 183 177 189 208 225 235 250 282 315 338 356 352 334 313 295 274 256 252 243 228 212 199 188 179 176 168 149 148 163 157 141 160 174 170 182 218 257 295 306 317 323 323 318 312 312 355 297 236 175 126 109 119 104 66 68 102 138 167 218 269 242 187 99 30 11 6 3 1 0 0 0 0 0 0 0 0 0 0 1 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
2 6 13 24 39 59 80 102 122 143 169 197 210 181 144 117 104 105 120 143 168 179 185 188 198 226 265 290 292 284 279 286 307 339 347 377 396 400 382 342 287 259 222 195 186 196 208 200 189 205 217 206 181 164 170 164 158 161 170 180 182 174 157 165 167 183 198 198 186 177 182 200 223 243 267 308 350 378 401 401 383 360 337 309 295 296 297 287 266 242 224 203 187 164 158 167 176 176 182 195 203 197 206 243 292 348 371 372 363 349 341 347 352 357 318 272 235 219 233 260 230 212 178 141 127 148 172 189 145 95 49 17 6 4 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 2 5 10 19 33 57 85 106 128 159 199 236 233 196 152 120 109 116 128 140 155 171 185 200 218 241 257 267 271 283 293 297 318 335 351 359 360 352 326 276 244 217 200 188 194 216 220 195 211 228 219 187 159 164 164 160 161 172 189 201 194 186 190 190 197 213 230 240 231 222 236 253 269 290 320 351 370 365 329 274 224 199 194 200 215 229 237 241 241 237 226 211 200 193 179 157 148 167 193 208 215 233 274 326 372 368 332 292 262 246 251 260 267 276 290 312 332 335 335 289 236 174 122 105 127 108 97 71 46 26 10 4 1 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 1 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 1 3 6 9 26 57 84 113 155 212 275 316 305 253 193 160 167 171 179 185 188 190 194 204 217 239 267 289 298 297 296 307 327 340 334 319 310 300 261 225 209 205 203 208 220 218 180 197 215 216 198 173 158 160 174 176 181 207 242 250 248 233 216 207 212 229 249 259 271 284 284 281 289 307 310 272 210 155 99 51 37 51 67 85 112 145 174 192 195 190 170 150 131 117 111 112 135 169 190 209 233 258 275 275 243 194 153 128 114 112 127 152 182 222 271 314 319 324 299 251 179 111 84 102 79 67 55 42 26 8 2 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 2 4 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 1 1 1 2 4 17 38 76 135 218 323 443 505 505 461 410 378 365 346 316 287 266 254 244 235 243 255 275 293 302 303 300 312 323 313 288 275 274 247 215 202 203 203 194 178 166 155 177 196 208 204 186 172 193 205 194 167 165 191 200 200 191 183 172 161 155 163 196 238 261 260 248 238 225 186 119 55 28 16 4 1 4 6 12 23 42 69 95 95 81 62 43 33 39 58 71 91 116 134 148 157 153 132 107 83 59 43 35 30 30 43 61 82 117 179 254 277 250 198 134 73 36 31 35 37 39 39 35 27 16 12 12 11 9 6 3 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 1 0 0 0 1 2 2 4 5 6 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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