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 8 7 7 6 7 8 9 10 10 10 10 10 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 7 6 6 7 8 10 11 11 10 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 9 8 6 5 6 9 10 10 9 9 9 10 10 10 10 10 9 9 8 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 7 7 7 7 6 6 6 7 7 7 7 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 6 6 6 6 7 8 9 10 11 11 11 11 11 11 10 9 8 7 7 7 7 7 7 7 7 7 6 6 7 7 7 6 7 nan
nan 8 7 6 6 6 8 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 10 9 8 6 5 5 7 9 10 10 10 9 9 10 10 10 10 9 9 8 9 9 9 9 9 9 9 8 6 4 5 7 10 10 9 9 9 9 8 9 9 11 11 10 9 8 8 8 7 7 6 6 6 6 7 7 7 7 7 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 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 9 10 11 11 11 11 10 9 8 8 7 6 7 7 7 7 7 7 6 6 6 7 6 6 7 nan
nan 7 7 7 7 6 7 8 10 11 11 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 7 6 6 6 8 9 9 9 9 10 10 11 11 11 10 9 9 9 9 9 8 8 8 8 8 7 5 5 7 9 9 9 9 9 8 7 7 8 10 11 9 8 8 9 9 8 7 7 7 7 7 7 7 8 8 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 6 6 6 6 6 6 7 8 9 10 10 11 11 10 10 9 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 nan
nan 7 7 7 7 7 7 8 10 11 12 11 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 6 7 8 9 9 9 10 10 11 11 11 11 10 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 9 9 9 8 8 6 5 7 10 11 10 8 8 8 9 9 8 8 7 7 7 7 8 7 7 7 7 7 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 7 6 6 6 6 6 7 7 8 9 9 10 10 10 10 9 9 8 8 8 7 7 7 7 7 6 6 6 6 6 7 7 nan
nan 6 7 8 8 8 7 8 9 10 11 11 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 6 6 8 9 9 10 10 10 11 11 11 10 9 9 9 9 8 8 8 8 8 8 8 8 7 6 6 7 8 8 9 8 8 6 5 6 9 10 10 8 6 6 7 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 7 7 6 6 6 7 7 8 8 8 9 9 9 10 9 9 9 9 8 8 8 8 7 7 7 6 6 6 6 7 7 nan
nan 7 8 8 9 9 8 8 8 8 8 9 10 10 11 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 9 8 7 6 5 6 7 8 9 9 10 10 10 11 11 10 9 9 9 9 8 8 8 8 8 8 8 7 6 5 5 6 7 8 8 8 8 7 6 7 8 9 10 9 7 6 6 7 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 8 8 8 7 7 7 6 6 6 7 nan
nan 8 9 9 9 9 9 8 8 8 8 8 9 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 7 7 6 7 7 7 8 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 7 7 7 6 7 7 7 7 8 8 8 8 8 9 9 10 10 10 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 7 7 7 7 8 9 9 8 8 7 7 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 6 6 6 7 nan
nan 9 9 9 10 9 9 9 9 9 9 9 10 11 11 12 11 11 10 10 9 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 8 9 10 10 10 10 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 9 9 9 10 10 11 11 10 10 10 9 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 7 7 8 8 9 8 8 8 8 8 8 9 9 9 9 8 8 7 8 8 8 8 9 9 9 8 8 8 8 8 7 7 6 6 7 nan
nan 9 9 9 10 10 10 10 10 11 12 12 11 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 7 7 7 7 9 9 9 9 10 11 11 10 9 7 8 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 10 11 11 11 11 10 10 9 8 8 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 nan
nan 9 9 9 10 10 10 10 11 12 13 13 12 10 9 9 9 9 10 10 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 8 7 6 6 7 8 9 9 9 10 10 10 10 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 9 10 10 11 11 11 11 10 10 9 8 8 8 8 8 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 nan
nan 9 9 9 10 10 10 11 11 12 13 13 12 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 9 8 7 7 7 8 8 9 9 9 9 10 10 9 8 8 9 9 10 10 10 9 9 9 9 9 8 9 9 9 8 7 7 7 8 9 10 10 11 11 11 10 10 10 9 8 8 8 8 8 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 8 9 8 8 8 8 8 8 8 7 7 7 nan
nan 9 9 9 10 10 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 9 9 9 9 9 9 10 10 10 9 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 10 10 10 10 10 9 9 9 9 8 7 7 7 7 8 9 9 9 10 10 11 11 10 10 9 9 9 9 8 8 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 nan
nan 9 9 9 10 11 11 11 11 10 10 10 10 9 8 8 8 9 9 9 9 9 8 9 9 9 9 9 8 8 9 10 10 10 9 9 10 10 10 9 7 7 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 7 7 7 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 nan
nan 9 9 9 10 11 11 11 10 9 9 9 9 9 8 7 7 8 9 9 9 9 8 9 10 10 10 10 9 9 9 10 11 11 10 9 10 10 11 9 8 7 8 9 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 9 9 8 8 9 8 8 8 8 8 9 9 9 8 8 8 9 9 10 11 12 13 13 12 11 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 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 8 8 7 7 nan
nan 9 9 9 10 11 11 11 10 9 9 9 9 8 8 7 6 7 8 9 9 8 8 9 10 10 11 10 10 9 10 10 11 11 10 10 10 10 11 10 9 8 9 10 10 11 11 10 10 10 10 9 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 8 9 9 9 9 8 8 8 8 7 7 8 8 8 9 10 12 14 15 16 14 11 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 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 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 9 9 8 8 8 nan
nan 10 10 10 11 11 11 11 10 10 9 9 9 8 8 7 6 7 8 9 8 7 7 8 9 10 10 10 9 9 10 10 11 11 11 10 10 10 10 11 11 10 10 10 11 11 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 8 7 7 6 6 6 8 9 9 10 9 9 9 9 8 7 7 8 8 9 10 10 12 13 14 15 13 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 nan
nan 10 10 11 11 11 11 11 10 10 9 9 8 8 7 7 7 7 9 9 8 7 7 7 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 10 10 9 8 7 6 5 6 6 7 7 8 9 9 9 9 9 8 8 8 9 9 10 10 11 10 10 10 9 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 9 9 10 11 11 11 10 10 9 8 8 7 7 7 7 8 8 9 8 8 7 7 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 8 7 7 6 6 6 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 8 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 11 nan
nan 8 8 8 9 10 10 10 10 9 8 7 7 7 8 8 8 8 8 9 9 8 8 8 8 9 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 11 11 10 9 8 8 8 9 9 9 9 9 9 9 10 10 11 10 9 8 8 8 7 7 6 6 6 6 6 6 7 8 9 9 10 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 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 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 11 11 nan
nan 9 9 9 10 10 10 10 10 9 8 8 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 11 10 9 9 9 9 9 8 7 7 6 5 5 5 6 7 8 9 10 11 10 10 9 9 9 9 10 10 10 10 11 11 10 10 9 9 8 8 9 9 9 8 8 8 8 8 8 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 7 7 8 8 8 8 9 9 9 10 10 11 11 11 11 nan
nan 10 11 11 11 11 11 10 10 9 8 8 8 9 9 9 9 9 9 10 10 10 9 10 10 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 10 9 9 9 10 10 9 9 8 8 7 6 6 5 6 7 8 9 10 11 10 9 8 8 9 9 9 9 10 10 10 10 10 11 11 10 10 10 10 10 9 8 8 9 9 9 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 9 9 9 10 10 10 10 nan
nan 11 11 11 11 11 11 10 10 10 9 8 8 9 9 8 8 8 9 10 10 10 10 10 11 11 10 10 10 10 11 10 9 9 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 7 7 6 7 8 9 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 10 11 12 12 12 11 11 10 9 9 9 9 9 9 8 8 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 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 10 10 nan
nan 10 11 11 11 11 11 11 11 10 10 9 8 8 8 8 9 10 10 10 10 9 10 11 11 10 10 9 9 10 10 10 9 8 7 7 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 10 10 10 9 9 8 8 8 9 9 9 9 8 8 8 8 9 10 11 10 9 8 7 7 8 8 9 9 9 9 9 9 9 10 11 11 11 11 10 10 9 8 8 9 9 9 9 8 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 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 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 10 11 11 10 9 8 9 9 10 9 9 8 9 9 9 9 8 8 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 9 9 9 9 9 8 9 9 10 11 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 8 7 7 7 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 9 8 7 7 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 9 9 9 9 9 9 9 9 10 11 10 9 9 9 9 9 9 8 8 8 8 9 9 9 8 9 9 9 10 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 8 7 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 nan
nan 11 11 11 11 11 11 11 10 10 10 11 11 11 11 10 9 8 7 6 5 4 3 4 6 8 10 10 10 10 10 9 8 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 11 11 11 11 11 12 11 11 10 10 10 10 10 10 9 7 6 5 4 3 2 1 0 1 4 7 9 11 11 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 9 9 9 9 10 10 11 11 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 nan
nan 11 11 10 11 12 13 13 13 11 10 10 10 9 9 8 8 7 6 6 5 4 2 -1 -2 -0 2 4 6 8 9 9 9 9 8 8 8 9 9 10 10 9 9 9 9 10 9 8 7 7 7 7 7 7 7 7 8 8 9 9 8 7 7 8 8 8 8 9 10 10 11 11 10 9 9 8 9 9 9 9 10 10 9 8 8 9 11 11 11 10 10 10 9 8 8 8 9 9 10 10 9 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 9 8 8 8 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 nan
nan 11 11 10 11 12 14 15 15 13 12 11 11 11 10 10 9 9 9 9 9 8 6 4 2 0 -0 1 2 3 4 5 6 7 8 8 9 9 9 9 9 9 8 8 9 9 9 8 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 10 10 10 10 10 9 9 8 9 9 9 9 9 9 8 8 9 11 13 14 13 11 10 10 10 10 9 8 8 9 9 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 nan
nan 12 11 12 12 13 14 14 14 13 13 12 12 13 13 13 12 12 11 12 13 13 12 10 8 6 4 3 3 3 3 3 4 5 7 8 9 10 9 8 8 7 7 6 7 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 11 13 15 15 14 12 11 11 11 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 12 12 13 13 13 12 12 12 12 11 12 12 12 13 14 13 13 12 12 13 14 14 14 13 11 9 8 7 6 5 5 4 4 5 6 8 9 8 7 7 8 7 6 6 7 7 8 9 9 9 10 10 10 11 12 12 13 12 11 10 9 9 9 9 9 10 11 10 10 9 9 9 9 9 9 8 9 9 9 9 9 8 9 11 13 14 15 13 12 12 11 11 11 10 10 9 9 9 9 10 10 9 9 10 10 10 9 9 10 10 10 10 10 10 10 10 11 12 11 10 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 11 12 12 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 12 12 12 12 11 11 10 9 8 8 7 6 5 4 4 4 4 4 4 5 7 8 8 8 8 8 8 9 10 10 10 10 10 11 12 14 14 14 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 9 9 8 8 9 11 13 13 13 13 13 12 11 11 10 10 9 9 9 9 10 10 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 11 11 10 9 9 9 9 9 10 10 10 8 7 7 7 9 10 10 10 10 9 9 9 9 10 10 10 10 9 9 8 8 6 6 5 3 2 1 1 1 3 6 8 9 10 9 9 10 10 10 10 10 10 10 11 12 14 14 12 11 10 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 7 9 11 12 13 14 13 12 11 11 10 10 10 9 9 10 10 10 10 10 9 10 10 10 10 10 10 10 11 12 12 12 11 10 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 6 nan
nan 10 10 9 8 8 8 9 9 11 12 12 8 6 5 5 6 7 8 9 9 9 8 8 8 9 9 10 10 10 10 9 9 8 7 7 6 4 2 0 -1 -0 2 4 7 10 11 11 11 10 9 9 8 8 8 8 10 12 12 12 11 11 11 12 12 11 10 10 10 10 10 10 10 10 10 10 11 10 10 9 8 8 7 7 7 8 10 11 12 13 12 11 11 10 10 10 10 9 10 10 10 10 10 10 9 10 9 9 10 10 10 11 11 12 13 13 11 9 8 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 6 6 6 nan
nan 9 9 8 8 8 8 8 10 12 13 12 10 7 6 6 6 6 7 7 8 9 10 10 10 10 10 11 11 11 10 11 12 12 10 9 8 7 6 4 2 0 -0 0 3 7 11 12 13 12 10 9 8 8 7 7 9 10 11 12 11 11 12 12 13 13 12 10 10 10 10 9 9 9 10 11 11 10 9 8 8 8 7 7 7 8 9 10 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 12 12 12 11 10 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 nan
nan 9 9 8 8 8 8 8 10 11 12 12 10 9 8 8 7 7 7 7 8 10 11 12 12 12 12 12 12 12 11 12 14 15 15 13 11 10 10 8 6 4 2 1 1 4 8 11 13 14 13 11 10 9 9 9 9 10 11 12 12 12 12 12 12 13 12 10 9 8 8 8 8 9 10 11 10 9 8 7 7 7 7 8 8 8 9 10 12 12 12 11 9 9 9 9 10 10 10 10 10 11 10 10 10 9 9 9 10 10 10 11 11 11 10 11 12 13 13 11 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 nan
nan 10 9 8 8 8 8 9 9 10 10 10 9 9 10 9 8 8 8 8 9 10 11 11 11 11 11 11 11 11 10 11 13 15 17 16 14 14 13 13 12 10 8 6 5 5 6 9 12 14 13 12 11 10 10 11 11 11 11 11 12 12 12 11 11 10 10 10 9 7 6 6 7 9 11 11 9 8 7 6 6 6 8 9 10 10 9 10 11 12 12 10 8 8 9 9 10 10 10 10 11 11 10 10 10 9 9 9 10 10 10 11 11 10 9 10 13 15 14 12 10 9 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 nan
nan 10 9 9 9 8 8 9 9 10 9 8 8 8 9 8 7 7 8 9 10 11 11 11 11 10 9 8 8 8 8 8 10 12 14 16 15 15 15 15 15 14 13 11 10 8 8 8 10 11 12 11 11 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 9 8 7 7 8 9 10 10 9 8 7 7 7 8 9 11 11 11 10 10 11 11 11 9 9 8 9 10 11 11 11 11 11 11 11 11 10 9 9 9 10 10 11 10 10 10 9 11 14 16 15 12 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 nan
nan 9 9 9 9 8 8 8 8 9 9 8 7 7 7 6 5 5 7 9 10 11 12 12 11 10 9 8 8 7 7 7 8 10 12 13 13 14 14 14 14 14 14 13 11 10 9 8 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 11 11 10 10 9 9 9 9 11 11 11 10 10 9 9 9 9 9 10 9 10 10 11 11 11 11 12 12 12 11 10 10 9 9 10 11 11 10 10 9 9 12 15 17 17 13 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 nan
nan 9 9 9 8 8 7 6 7 7 7 7 7 7 7 6 4 3 4 6 9 11 12 12 12 11 10 10 9 9 8 8 8 9 10 10 10 11 12 11 11 11 10 10 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 12 11 11 11 11 10 9 9 9 9 10 11 12 12 12 12 12 11 11 10 10 10 10 9 8 8 7 8 8 9 10 10 10 10 10 10 10 9 10 11 12 12 11 10 10 9 9 10 11 11 10 10 9 9 11 14 17 18 15 12 10 9 9 9 9 8 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 nan
nan 8 8 9 9 8 7 6 5 5 5 6 6 8 9 8 7 5 3 4 6 8 11 12 11 11 11 11 10 10 9 9 9 10 9 9 9 10 10 9 8 5 5 5 6 6 6 7 7 7 7 7 8 9 9 9 9 9 9 10 11 11 11 11 11 11 10 9 9 9 9 9 10 11 12 13 13 12 11 11 10 9 8 8 7 7 6 6 7 8 9 10 10 10 10 10 9 9 9 10 11 12 12 11 10 9 9 9 10 11 11 10 10 9 9 10 12 16 18 17 15 12 10 10 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 9 9 8 8 7 6 6 6 6 8 10 12 13 12 9 6 3 3 5 8 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 10 8 5 3 2 2 2 3 4 4 4 5 5 6 8 8 8 7 7 8 8 9 10 10 10 10 10 9 9 9 9 9 8 8 9 11 12 12 11 10 9 9 8 7 7 6 7 7 7 8 8 9 10 10 10 10 9 9 8 9 9 10 11 11 11 10 9 9 9 10 10 10 10 10 10 9 9 10 14 17 18 18 15 12 11 10 10 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 9 9 9 9 9 9 9 8 9 11 14 15 16 15 13 10 6 3 3 5 8 9 9 10 10 11 12 12 11 11 11 11 11 11 12 14 15 13 10 7 4 3 2 2 2 3 3 3 4 5 6 6 7 7 7 7 8 9 10 11 11 10 9 8 8 8 8 8 8 8 9 10 10 10 9 8 8 8 8 8 8 8 8 8 9 9 10 10 11 10 10 9 9 9 9 9 9 10 11 11 11 10 9 9 9 10 10 10 10 10 10 10 9 10 12 15 18 19 18 15 12 11 10 9 9 8 8 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 nan
nan 11 10 9 8 8 9 9 9 10 11 12 14 16 17 17 17 15 12 9 5 2 3 6 7 8 9 9 9 10 11 11 12 12 12 12 12 13 16 18 18 16 13 10 6 4 4 4 4 4 4 4 5 6 6 7 8 8 9 9 10 11 13 13 12 10 9 7 6 6 7 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 10 11 11 11 11 11 10 9 9 9 9 9 10 10 11 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 11 12 16 20 19 18 14 11 10 9 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 nan
nan 12 10 7 5 4 5 6 8 9 10 12 15 18 19 18 16 15 13 10 6 2 3 5 6 7 8 8 8 9 9 10 11 11 12 12 12 13 14 16 19 19 18 15 12 9 7 7 6 6 6 6 7 7 8 8 8 9 10 11 11 12 14 14 14 13 11 9 6 5 6 8 9 10 10 10 9 9 9 9 8 8 8 9 10 11 11 11 11 11 12 12 11 10 10 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 14 18 20 20 17 13 11 9 9 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 8 9 nan
nan 15 12 7 3 0 -0 2 5 7 8 11 15 17 18 17 15 15 13 10 6 3 3 5 6 7 7 8 8 8 8 9 9 10 11 11 12 12 12 13 16 17 19 19 17 14 12 10 9 9 9 9 9 9 9 9 9 10 10 11 12 13 14 14 14 14 13 10 7 6 5 7 9 9 10 10 10 10 10 9 9 8 8 9 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 11 12 15 18 20 18 15 12 12 11 10 9 8 7 7 6 6 6 6 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 10 nan
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nan 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 12 12 12 11 11 11 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 9 10 10 10 10 10 11 11 11 12 11 11 11 11 11 10 10 10 10 10 11 11 11 10 10 10 11 11 12 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 10 10 10 11 11 11 11 12 13 14 16 18 23 26 26 25 23 20 17 14 10 6 4 2 0 -1 -2 -2 -2 -3 -2 -1 0 3 5 5 5 6 7 nan
nan 11 11 11 11 11 12 12 11 11 10 10 10 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 10 10 11 11 12 14 14 14 15 17 19 21 23 23 24 24 23 20 17 14 12 11 9 7 4 1 -2 -4 -5 -5 -4 -3 -3 -4 -4 -3 nan
nan 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 12 13 14 14 13 13 12 13 14 15 17 19 21 23 24 22 21 21 21 19 18 14 10 5 2 -2 -4 -6 -6 -7 -9 -10 -10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
7 6 4 4 5 7 9 11 12 15 19 23 25 23 22 20 18 18 20 20 18 16 13 11 9 10 11 10 8 9 10 10 10 8 6 6 8 11 13 17 24 32 36 29 17 7 2 1 1 1 1 1 2 3 3 3 3 4 4 3 2 2 2 2 2 2 3 5 4 3 2 1 0 0 1 3 7 11 15 20 26 32 26 21 18 16 16 17 17 17 15 12 10 8 8 8 9 11 14 12 10 10 14 18 16 12 9 7 6 6 6 6 6 6 6 7 8 8 8 9 9 9 9 9 9 9 9 8 7 8 9 9 11 14 19 28 40 52 63 75 86 93 98 102 105 108 112 118 123 122 119 118 119 118 118 116 120 124 127 134 119 110
7 4 2 3 5 7 10 12 16 21 25 27 26 25 24 23 21 21 21 21 18 16 14 13 11 12 12 12 13 14 12 14 14 10 7 6 6 7 8 11 16 23 29 28 20 9 4 2 1 1 1 1 2 3 3 3 3 3 4 3 3 3 3 2 2 3 4 7 8 3 2 1 0 0 0 3 8 12 17 22 27 32 27 23 19 16 17 15 15 14 12 10 8 7 7 7 8 9 11 9 9 13 17 16 13 10 7 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 8 8 8 8 7 7 6 7 8 9 10 12 15 21 31 45 58 71 84 94 100 104 106 108 110 116 121 119 117 118 121 108 107 110 117 124 121 116 110 105
7 3 1 2 5 7 12 16 21 26 29 25 22 23 25 25 25 25 23 19 16 14 13 13 14 12 12 13 14 16 13 14 13 11 9 9 7 6 6 7 8 12 17 18 14 9 6 2 1 1 1 1 2 2 2 2 3 3 3 4 3 3 4 3 3 4 4 5 6 3 1 0 0 0 0 2 5 9 15 22 26 28 25 22 19 15 12 13 14 14 11 9 7 7 7 8 7 9 10 10 10 9 12 9 7 5 4 4 4 4 4 4 4 4 4 3 4 4 4 4 5 6 6 6 7 7 6 6 6 7 7 8 8 8 10 13 20 34 48 61 76 88 95 100 103 105 106 105 109 111 111 109 105 98 98 103 111 117 116 112 107 100
7 3 2 3 5 8 13 17 23 28 29 22 21 24 28 31 31 28 24 20 15 11 11 12 13 12 12 12 12 13 12 11 11 11 11 13 12 10 8 6 4 5 10 13 10 8 6 2 1 1 1 1 1 2 2 3 3 4 4 4 4 3 3 4 4 4 4 3 3 2 1 0 0 0 0 1 2 4 7 14 18 19 19 20 17 15 14 13 13 14 11 7 6 6 6 7 6 7 8 9 9 6 5 4 3 2 2 2 2 2 2 3 3 3 4 4 5 4 5 5 5 5 6 6 6 5 5 5 5 6 5 6 6 5 5 7 12 21 32 47 64 78 87 93 99 104 103 101 101 103 106 101 98 95 94 96 107 112 114 113 112 102
7 3 1 3 5 8 11 14 21 28 26 21 23 28 32 34 34 31 27 22 17 13 12 12 12 12 12 11 10 11 10 10 10 10 11 13 14 13 10 7 5 4 7 11 11 7 4 2 1 1 1 2 2 2 2 3 4 4 4 4 3 3 3 3 3 4 5 4 4 4 2 0 0 0 0 1 1 2 4 6 8 10 14 17 16 13 12 11 10 10 8 6 5 5 4 5 5 5 5 5 4 4 3 2 2 1 1 1 1 2 2 3 3 3 3 4 5 6 7 7 7 7 6 5 5 5 5 5 5 4 4 5 5 4 5 6 7 10 17 30 47 63 75 86 95 100 100 99 98 98 99 94 91 89 89 92 102 110 113 111 118 113
5 3 3 5 6 8 10 13 19 26 24 23 25 29 32 34 36 35 33 29 23 15 12 10 10 10 10 8 8 8 9 9 9 10 10 11 11 12 12 7 5 5 7 10 11 8 5 3 2 1 1 2 2 2 3 3 4 4 4 3 2 2 3 3 4 5 6 7 8 6 2 0 0 0 0 1 0 1 1 1 2 4 8 13 15 14 13 12 11 11 9 7 6 5 4 4 5 5 5 4 3 3 2 2 1 1 1 2 2 2 3 3 4 3 4 5 6 7 8 8 8 8 7 6 5 5 5 4 5 5 5 5 5 4 5 5 6 7 9 17 29 45 60 73 84 91 96 96 95 93 90 88 86 86 87 92 99 107 111 111 119 121
4 4 5 6 7 9 11 15 21 24 23 23 24 27 32 36 39 39 36 31 25 15 9 6 5 5 5 4 5 5 6 7 7 8 8 9 10 10 11 9 7 6 7 9 11 9 6 3 2 1 1 2 2 3 4 4 3 4 4 4 3 2 3 3 4 5 6 5 5 4 1 0 0 0 0 0 0 0 0 0 0 1 2 6 9 11 11 11 12 11 9 6 5 5 5 5 5 5 4 3 2 2 2 2 2 1 1 1 2 3 3 4 4 5 5 5 6 7 7 7 8 8 8 7 5 5 6 5 5 5 6 5 5 5 5 5 6 7 7 10 17 28 42 54 66 76 82 87 88 86 83 80 80 85 89 91 92 101 104 110 115 121
6 6 6 7 9 9 13 19 23 21 23 25 28 32 37 41 42 41 37 31 23 14 8 4 2 2 3 3 3 3 4 5 6 6 7 7 8 7 8 8 8 7 7 9 10 9 6 2 1 1 1 1 2 4 4 4 3 3 3 2 1 2 2 3 3 4 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 8 10 11 10 9 7 6 5 5 5 5 4 3 3 2 2 2 2 2 2 2 2 3 3 3 4 5 5 6 5 6 6 7 8 9 8 8 7 5 6 6 6 6 5 5 5 5 5 5 5 5 6 6 7 9 15 27 37 47 58 68 74 78 81 80 73 74 80 88 93 90 94 97 99 104 114
7 6 7 7 9 10 13 19 25 20 23 27 32 37 44 47 46 42 36 29 21 14 9 6 3 2 2 2 2 3 3 4 4 5 5 5 6 5 5 6 7 8 7 8 9 9 6 2 2 1 1 2 2 3 4 4 3 3 2 2 1 2 2 3 3 4 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 9 10 9 9 8 7 6 6 5 5 4 3 3 3 2 2 2 2 2 2 2 3 3 3 4 4 5 5 5 6 7 8 9 10 10 9 8 7 7 8 7 6 5 5 4 4 4 5 4 4 4 5 5 5 9 15 23 31 40 49 58 65 70 72 70 71 76 83 89 86 88 94 99 98 99
8 8 9 9 10 11 13 16 23 20 23 28 34 40 48 46 40 35 30 26 19 14 10 7 4 2 2 2 2 3 3 3 3 3 3 4 4 3 4 5 6 8 7 7 10 10 7 3 2 2 2 2 2 3 4 4 3 2 2 2 2 2 2 2 3 4 4 4 4 5 5 3 1 1 0 0 0 0 0 0 0 0 0 0 0 1 3 7 9 10 10 9 8 7 6 5 4 4 3 3 2 2 2 2 2 2 2 2 2 3 3 3 4 5 6 6 7 7 8 9 9 9 9 9 9 9 9 8 6 5 4 4 3 2 4 4 4 3 3 3 4 5 8 13 19 25 31 40 48 55 58 59 63 69 76 79 80 84 88 90 84 81
10 11 11 11 12 13 15 17 18 16 17 24 34 42 42 37 32 27 22 19 13 9 6 3 1 1 1 2 2 3 3 3 3 3 4 5 4 3 3 4 5 7 8 8 10 14 10 5 3 2 3 3 3 4 4 4 3 1 1 2 2 2 2 2 2 2 2 3 4 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 9 9 8 7 7 6 5 4 3 3 3 3 3 3 3 3 3 3 4 4 3 3 4 4 5 6 6 7 8 10 11 11 10 10 10 10 10 10 10 7 6 5 4 2 2 3 4 3 2 2 2 2 3 4 7 11 15 20 26 34 41 46 48 49 59 64 68 69 68 71 73 73 72
11 11 11 12 14 15 16 16 14 13 14 20 30 31 27 23 20 16 11 8 5 3 2 0 1 2 2 2 3 3 4 4 4 4 5 5 5 5 4 4 5 7 9 9 10 16 14 9 4 1 2 3 4 4 5 5 4 2 1 1 2 3 2 2 2 1 2 3 4 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 10 9 7 7 7 6 5 4 4 3 3 3 3 3 4 4 4 4 4 4 5 5 5 6 6 7 7 8 10 11 12 13 13 12 11 11 10 8 9 8 6 5 5 3 3 4 4 3 3 3 3 2 2 2 4 6 9 13 18 25 31 36 40 41 47 51 55 58 56 56 60 64 65
11 12 14 16 17 17 14 14 12 10 10 12 12 12 11 10 7 4 2 1 1 1 1 1 2 2 2 3 4 4 4 4 4 4 5 5 6 5 4 5 6 7 8 10 11 16 16 12 5 1 1 2 3 4 4 5 4 3 1 1 2 3 3 3 2 2 2 3 2 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 10 11 9 7 7 6 5 4 4 3 3 3 4 4 4 4 4 5 5 6 6 6 7 7 7 8 9 10 12 12 12 15 15 13 12 11 10 9 8 7 7 6 5 5 5 5 6 3 3 3 3 2 2 2 3 4 5 8 12 17 22 27 31 33 36 39 44 44 41 41 46 53 54
12 14 16 18 20 19 17 15 10 6 5 7 8 8 8 6 3 1 1 1 1 1 1 2 1 2 2 2 4 5 5 5 5 5 6 6 7 6 5 5 6 7 9 13 17 19 20 13 3 1 1 2 3 3 4 4 4 3 2 1 2 2 2 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 8 6 6 5 4 4 4 4 4 4 4 4 4 5 5 5 6 7 7 7 7 7 8 9 10 12 14 16 15 14 13 12 11 10 10 10 9 8 7 7 6 6 5 5 7 6 4 3 3 3 2 2 2 2 3 5 7 10 14 17 20 23 26 29 29 27 26 28 30 37 40
13 14 16 18 19 19 19 15 9 5 4 5 6 6 6 5 2 1 1 1 1 1 1 1 2 2 2 3 5 5 5 5 5 4 6 7 7 7 6 6 7 8 11 16 21 23 22 16 6 1 1 2 2 3 4 4 4 4 3 2 2 2 2 1 1 1 1 0 0 0 0 1 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 6 5 5 4 4 5 5 5 5 5 5 4 4 4 5 6 6 7 7 7 8 9 9 10 12 13 17 17 16 16 15 14 14 13 12 10 11 10 9 9 7 6 6 7 7 6 5 4 4 3 2 1 2 3 3 4 5 8 10 12 14 18 19 17 17 20 22 22 24 28
12 14 15 16 16 17 17 14 10 7 5 5 5 4 4 3 2 1 0 0 0 0 1 1 1 1 2 3 4 4 4 4 3 3 4 5 6 6 5 7 8 10 13 18 23 23 21 19 13 4 2 2 2 3 3 4 4 4 3 3 3 2 1 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 1 2 5 7 7 6 5 5 5 6 7 7 6 6 6 5 5 5 4 5 6 7 8 9 10 9 10 10 10 11 14 16 16 16 17 17 18 18 17 12 13 13 12 12 12 10 9 9 8 8 7 6 5 5 4 4 4 5 4 3 5 6 7 7 8 12 14 15 14 15 16 15 15 17
10 12 13 13 14 14 13 11 9 8 5 4 4 3 2 2 1 0 0 0 0 0 0 1 1 2 2 3 3 3 3 2 2 2 2 3 3 4 5 7 10 14 17 19 21 21 21 23 22 9 3 3 3 3 3 3 3 3 3 3 2 1 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 1 4 6 7 7 5 6 6 7 8 9 8 7 6 6 6 6 6 7 7 8 10 10 10 10 10 11 11 12 12 11 12 14 15 16 18 22 21 19 18 17 15 13 13 13 13 12 10 9 8 8 7 6 7 6 7 7 6 5 5 5 5 6 7 8 10 12 11 12 12 11 10 10
9 9 9 9 10 9 9 8 8 6 4 3 2 1 1 1 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 1 2 2 2 2 4 7 10 13 17 16 16 16 16 18 20 22 15 7 5 3 3 3 3 3 3 3 2 1 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 0 1 2 4 4 4 4 6 7 9 10 10 9 8 7 6 7 8 8 9 9 9 9 10 10 10 11 12 13 15 17 17 15 14 14 13 14 16 17 18 19 20 19 18 17 16 15 15 13 12 10 8 7 7 7 7 7 8 6 5 5 4 5 5 5 5 6 8 9 11 10 9 8 8
6 5 5 6 5 5 5 5 5 2 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 1 1 1 2 2 3 4 6 8 10 10 8 7 8 9 12 15 16 13 8 5 3 2 2 2 2 3 2 2 1 1 0 1 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 1 1 1 1 2 4 6 9 11 10 9 8 8 8 9 10 10 11 11 9 9 10 10 10 11 12 13 16 20 20 18 17 15 13 13 12 12 12 14 19 19 20 21 19 17 16 15 14 13 10 9 8 8 7 7 6 6 5 5 5 4 4 4 3 3 4 5 5 5 6 6 6
4 4 5 6 5 4 4 4 4 3 2 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 1 1 3 4 6 6 4 3 3 3 4 7 9 9 8 6 3 2 2 2 2 2 2 2 2 2 2 2 2 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 1 2 5 7 8 8 8 8 9 10 10 10 11 11 10 10 10 10 11 10 10 11 11 14 16 17 17 16 14 13 13 13 12 12 14 15 17 20 20 20 19 18 15 15 13 12 11 10 9 7 7 7 6 5 4 3 3 3 2 2 3 3 3 4 4 5 6
5 5 6 6 6 6 6 5 3 1 1 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 1 3 5 6 5 5 5 4 2 3 4 5 5 5 5 2 2 2 2 2 2 2 2 2 3 3 4 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 2 4 6 6 6 8 10 10 10 11 11 10 10 9 9 10 10 10 9 9 10 11 11 12 14 15 14 13 12 13 13 13 14 15 15 16 17 19 20 20 18 16 14 13 13 12 10 8 7 7 6 5 4 3 1 2 2 2 2 2 2 3 3 3 4
6 6 6 7 7 7 5 4 2 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 6 6 5 5 4 3 4 5 5 4 4 3 1 1 1 2 2 2 2 2 2 3 4 5 5 4 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 3 5 4 5 8 10 11 10 11 11 11 10 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 13 14 13 13 14 15 17 16 17 17 17 20 19 18 16 14 13 12 11 9 7 6 6 5 5 4 3 3 2 2 2 1 2 2 3 3 4
6 6 6 5 5 5 4 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 1 1 2 4 6 7 7 6 4 4 5 5 4 3 3 3 2 2 1 1 2 2 1 1 1 3 4 4 5 5 4 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 2 5 7 6 7 9 10 10 9 11 12 12 12 10 9 9 9 9 9 8 8 8 9 10 10 10 10 11 14 14 12 12 12 13 15 18 18 16 16 17 17 17 18 16 14 13 12 10 8 8 6 5 5 5 4 4 3 3 2 2 2 3 3 3 3
5 5 5 5 5 5 4 3 2 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 1 3 5 6 8 8 7 6 6 5 4 3 2 3 3 3 2 1 1 1 1 1 1 2 3 3 4 5 6 5 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 1 4 6 8 8 9 10 11 11 11 11 12 11 10 9 9 9 8 8 8 8 9 9 10 9 9 9 10 11 12 11 11 11 13 16 18 17 16 16 17 16 15 17 16 16 14 13 11 10 9 8 7 7 6 5 5 4 3 3 3 3 3 3 3 3
5 5 5 4 3 2 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 1 0 1 2 3 4 5 7 7 8 8 8 6 5 4 3 3 4 4 3 2 2 2 1 1 2 3 3 3 4 5 5 5 5 4 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 1 3 3 4 5 6 6 6 7 8 9 10 9 9 8 8 9 8 8 8 9 9 8 8 8 7 8 9 10 10 10 11 14 18 19 16 16 16 17 18 16 16 16 17 16 14 12 10 10 10 10 9 9 8 7 6 4 4 4 3 4 3 3 3
4 3 3 3 2 2 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 1 2 2 3 5 6 6 8 11 10 7 5 4 4 5 7 7 5 4 3 3 4 2 2 2 2 3 4 4 4 4 4 3 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 0 0 0 1 1 2 3 4 5 7 8 7 8 8 8 8 7 7 5 6 7 7 7 7 8 9 9 9 9 11 13 16 17 18 19 18 17 15 14 14 15 15 15 14 12 10 10 9 10 10 9 8 7 6 6 5 4 4 4 4 3
2 1 2 2 2 2 3 2 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 1 1 1 1 2 3 5 9 12 11 8 5 4 4 5 8 10 9 7 6 6 8 7 5 3 2 3 3 3 3 3 3 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 0 0 1 1 3 4 5 5 4 4 5 5 5 5 6 6 6 6 6 7 8 7 7 7 9 12 14 16 18 18 16 14 13 12 11 11 13 14 13 12 10 9 9 11 10 9 7 6 7 6 5 5 5 4 4
2 2 2 2 2 3 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 8 10 8 6 3 2 4 6 7 9 11 11 10 9 10 10 9 7 3 3 2 2 3 2 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 0 0 0 0 0 0 0 1 1 0 1 2 2 3 3 3 4 4 5 6 7 8 8 8 8 9 9 10 11 14 14 13 13 12 11 9 9 11 13 13 12 11 10 9 10 11 10 8 7 7 7 7 6 6 4 4
3 3 2 2 2 3 3 2 1 1 1 0 0 0 0 0 0 1 1 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 8 6 3 2 3 5 8 11 11 11 10 9 8 9 8 8 10 9 7 4 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 6 7 9 9 9 9 9 9 9 9 9 10 11 11 12 11 10 9 9 11 11 11 11 10 9 8 9 10 9 8 7 6 6 7 8 7 6 6
4 4 4 3 3 3 2 1 2 1 2 1 1 1 1 2 3 5 6 8 9 10 10 10 8 6 4 3 4 2 2 1 0 0 0 0 0 0 0 0 2 3 5 6 5 2 1 3 6 9 10 10 10 9 8 7 6 5 6 7 8 7 5 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 6 8 9 9 10 9 9 9 9 8 7 8 10 10 11 11 10 10 10 9 9 8 9 10 9 8 8 8 9 8 8 7 7 6 7 8 8 7 6
4 4 5 4 3 3 2 2 3 4 4 3 3 3 4 5 7 10 13 17 19 21 22 23 23 20 16 13 13 10 7 3 1 1 0 0 0 0 0 0 1 2 2 3 3 2 2 4 8 11 10 10 9 8 8 6 5 4 3 5 5 6 5 3 3 3 4 3 2 1 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 2 5 5 6 8 9 9 9 8 8 8 8 7 8 9 9 10 11 10 9 9 8 8 8 7 7 8 7 6 6 6 7 7 8 8 7 6 7 7 7 6 6
3 3 4 4 3 2 2 2 2 2 2 1 1 2 1 3 7 11 16 18 21 25 27 28 32 33 30 27 24 18 11 6 3 2 0 0 0 0 0 1 1 2 3 4 5 5 6 8 11 11 10 9 8 7 6 4 3 2 2 3 4 5 4 4 4 5 6 7 5 3 1 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 1 4 6 6 7 7 8 7 7 7 7 7 7 8 10 10 10 11 10 9 8 7 6 7 7 7 7 7 6 6 6 6 6 7 8 8 6 5 6 6 6 5 5
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