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 11 11 11 10 10 9 9 9 8 9 8 7 6 7 8 10 10 10 8 6 4 3 4 6 8 8 8 8 9 10 9 7 7 8 8 8 9 9 10 10 9 9 9 10 9 9 9 8 8 9 9 10 10 10 10 10 10 9 8 7 7 7 7 7 8 9 10 11 11 10 10 10 9 8 9 10 10 9 8 8 9 9 8 8 7 7 8 8 8 8 8 7 6 6 6 7 7 7 7 6 6 7 7 7 7 7 6 6 7 7 7 7 7 7 7 8 8 7 7 6 6 6 6 7 7 7 7 8 8 8 7 7 nan
nan 9 11 11 11 10 9 9 9 8 8 8 8 8 7 6 8 10 11 9 7 5 4 4 5 7 9 9 8 9 9 9 7 7 8 8 8 8 8 9 10 10 9 8 9 9 9 8 8 8 9 9 10 10 11 11 10 10 10 10 9 9 9 9 9 9 9 10 11 10 10 10 9 9 8 8 8 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 6 7 7 7 8 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 7 7 7 7 7 8 8 8 8 7 nan
nan 10 11 10 10 9 9 9 9 9 9 9 8 8 7 6 7 10 10 9 7 5 5 5 7 8 9 9 9 8 7 8 8 8 8 9 9 8 8 8 9 9 8 8 8 9 8 8 8 8 9 10 10 11 12 12 10 9 9 9 10 10 10 10 10 10 11 11 11 10 9 9 9 8 7 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 8 8 7 7 7 7 8 8 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 7 7 7 7 7 8 8 8 8 nan
nan 11 10 10 9 8 8 8 9 9 9 9 9 8 8 6 8 9 9 8 7 6 6 6 7 8 8 9 9 8 7 8 9 8 9 9 9 8 7 7 8 9 8 8 8 8 8 8 8 9 9 9 10 11 12 13 12 10 8 8 9 11 11 11 10 10 11 12 11 10 9 9 8 7 7 8 8 9 8 8 8 8 8 8 7 7 8 9 10 10 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 8 8 8 8 8 7 7 7 8 8 8 nan
nan 10 9 8 8 8 8 8 9 9 9 9 9 8 8 7 8 9 9 8 7 7 7 7 7 6 7 8 8 8 8 9 9 8 9 9 9 8 7 7 8 9 8 7 7 8 8 7 8 9 10 9 9 10 11 12 12 10 9 8 9 10 11 10 10 10 10 10 10 10 10 10 9 7 7 8 9 9 9 9 8 7 7 7 7 7 8 10 10 9 8 8 8 8 9 9 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 8 9 9 8 8 7 7 8 8 7 nan
nan 9 8 7 7 7 7 8 8 8 9 9 9 8 8 8 9 9 9 8 7 7 8 8 7 5 5 6 6 7 8 9 9 8 8 8 8 8 7 7 8 9 8 7 7 7 8 7 8 10 10 9 8 9 10 11 11 10 9 8 8 9 10 9 9 9 9 9 9 9 10 10 10 9 9 9 10 10 9 8 7 7 7 7 7 8 9 10 9 8 8 8 8 8 8 9 8 8 7 7 7 8 8 8 8 9 9 9 8 8 7 7 7 7 8 8 7 7 7 8 8 8 7 7 7 8 9 8 8 8 7 7 7 7 nan
nan 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 10 9 8 8 7 8 8 8 5 5 6 7 7 7 7 7 8 8 8 8 8 8 7 7 8 9 8 8 7 7 8 7 8 10 10 9 8 8 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 10 10 10 10 9 8 7 7 7 7 7 8 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 7 7 8 9 8 8 8 7 7 7 7 nan
nan 9 8 8 7 6 6 6 6 7 7 8 8 9 9 10 10 9 8 7 7 8 8 7 5 5 7 8 8 8 7 6 7 9 10 9 8 8 7 8 8 9 9 8 7 7 7 8 9 10 9 9 8 8 8 9 9 9 9 8 8 8 8 8 7 8 8 8 8 8 9 11 12 12 11 10 9 9 9 8 7 7 7 7 7 8 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 nan
nan 10 9 8 7 7 6 5 5 6 7 8 8 9 9 10 9 8 8 8 8 8 8 6 5 6 7 8 8 8 7 6 7 9 10 9 8 8 7 7 8 8 9 8 8 7 8 8 9 10 9 8 8 8 8 8 8 9 9 8 8 8 9 8 7 8 9 9 10 9 9 10 12 12 11 9 9 8 8 7 7 8 8 7 7 9 11 11 9 8 8 8 8 7 8 7 7 8 8 8 8 7 7 7 7 8 8 8 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 10 10 9 8 7 7 7 7 7 nan
nan 11 10 9 8 7 6 5 5 6 7 8 8 9 9 10 9 7 8 9 9 9 7 6 6 7 6 7 8 8 7 6 7 8 9 9 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 8 9 9 9 8 7 8 9 10 10 10 10 10 11 11 10 9 8 8 7 7 8 8 8 8 8 9 11 11 9 8 8 7 7 7 7 7 7 8 8 8 8 7 6 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 10 11 10 9 8 7 7 8 8 7 nan
nan 12 11 10 9 8 6 5 5 7 8 9 9 9 8 8 8 8 8 10 10 10 8 7 6 6 6 7 8 8 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 9 9 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 8 9 10 10 10 9 10 11 11 10 9 8 8 8 8 8 8 9 8 8 9 11 10 9 8 7 7 7 7 7 7 7 8 8 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 8 8 9 9 9 9 8 8 7 8 9 10 9 9 8 8 8 8 8 8 nan
nan 13 11 10 9 8 7 6 6 8 9 9 9 9 8 7 7 8 9 10 10 9 8 8 7 7 7 8 8 7 7 8 8 8 7 7 8 8 7 8 8 8 8 8 9 9 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 10 9 7 7 8 9 9 8 8 9 10 10 9 9 8 7 8 8 8 8 9 8 8 9 10 10 8 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 7 6 7 8 8 9 8 8 8 8 8 8 8 nan
nan 12 10 9 9 8 7 7 7 8 8 9 9 9 9 7 7 8 9 9 9 9 8 8 8 8 8 8 7 7 7 9 9 8 7 7 8 8 8 8 8 8 8 8 9 10 11 11 10 9 9 9 9 9 9 9 9 8 9 9 9 10 10 9 8 7 8 9 8 7 8 8 9 9 9 8 7 7 7 7 8 8 8 8 8 10 11 9 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 7 6 6 7 7 7 8 8 8 8 8 7 7 8 nan
nan 10 10 9 8 8 8 8 8 7 8 8 9 8 8 8 8 8 9 9 9 8 8 7 8 8 7 7 7 7 7 8 7 7 7 7 8 8 8 8 8 8 8 9 9 10 11 11 10 9 9 9 9 9 9 9 8 9 9 10 10 10 10 9 7 7 8 8 7 7 7 8 9 9 8 7 7 7 7 7 8 8 8 8 9 11 11 10 9 8 8 8 8 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 nan
nan 10 9 9 8 8 8 8 8 7 7 7 7 7 8 7 7 8 8 9 9 8 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 10 10 10 9 9 9 9 9 10 9 8 8 9 10 10 9 10 10 9 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 8 10 11 11 10 9 9 8 8 8 8 8 8 8 8 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 8 7 7 7 7 7 8 8 7 6 6 nan
nan 9 9 9 8 8 8 8 7 6 6 5 6 7 7 7 7 7 8 9 9 7 6 6 7 7 7 7 7 6 6 6 7 7 7 7 7 6 6 6 7 7 8 8 9 9 9 9 9 8 9 9 10 10 8 8 8 9 9 9 9 10 10 9 9 9 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 6 7 8 9 10 10 10 10 9 9 9 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 7 8 9 9 8 8 7 7 7 7 7 8 9 10 10 9 9 8 7 7 7 7 8 7 7 6 6 nan
nan 9 8 8 8 8 8 8 7 6 6 6 6 6 6 6 6 7 9 10 9 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 7 8 8 8 8 8 8 8 8 9 9 10 9 8 8 8 9 9 8 9 10 11 10 9 9 9 8 8 8 8 8 8 8 9 9 8 7 7 7 6 7 7 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 8 8 8 7 7 6 6 7 8 8 9 9 8 7 8 8 8 8 9 10 10 9 9 8 7 7 8 8 8 7 7 7 7 nan
nan 8 8 7 7 7 8 7 7 6 6 6 6 6 6 6 6 7 9 10 9 8 7 7 6 6 6 6 7 7 6 6 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 8 9 9 9 9 9 10 10 9 9 9 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 9 9 9 8 7 7 6 6 6 7 8 9 8 8 8 8 8 8 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 7 6 6 7 7 7 8 8 8 7 6 6 6 6 7 8 9 10 10 9 8 8 7 6 6 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 9 9 9 10 10 10 9 9 9 10 11 11 9 8 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 7 6 5 5 6 7 7 7 7 7 8 9 9 10 9 9 8 8 9 9 9 9 9 9 9 9 8 8 nan
nan 7 6 6 6 6 7 8 8 9 9 7 6 6 6 6 7 8 8 9 9 9 8 8 8 7 7 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 9 9 9 9 10 10 11 10 9 10 10 10 10 9 10 10 9 8 8 8 8 8 8 8 9 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 9 8 7 6 6 5 6 6 6 6 7 8 9 11 11 10 9 9 9 9 9 10 10 10 10 9 9 9 9 nan
nan 7 6 6 6 7 8 8 9 9 8 7 6 6 6 7 7 7 7 8 8 8 8 9 9 8 8 9 10 10 10 10 11 11 10 10 9 9 8 7 7 7 7 8 8 8 7 7 7 7 7 7 6 6 5 6 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 11 10 9 9 9 9 8 8 8 8 9 10 10 10 9 9 8 7 7 8 8 8 8 8 8 9 9 10 10 11 11 10 9 8 7 7 6 6 6 6 7 8 9 11 11 11 10 10 9 9 9 9 10 10 10 10 9 9 10 nan
nan 7 7 7 7 8 8 9 8 7 7 7 7 7 7 7 7 6 6 6 7 7 9 10 10 9 9 9 9 9 10 11 12 11 11 11 10 10 9 8 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 7 8 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 7 8 8 9 10 10 9 8 7 6 6 6 7 8 8 8 8 8 9 9 10 11 12 12 11 10 9 7 7 7 6 6 7 8 9 10 10 11 11 10 9 9 8 8 9 9 9 9 9 10 10 nan
nan 7 7 8 8 9 9 9 8 7 7 8 9 9 8 8 6 5 5 7 7 7 9 10 11 11 10 9 9 9 10 11 12 12 12 11 11 10 9 8 8 8 9 9 9 9 9 8 8 8 8 8 7 7 7 7 6 6 7 7 8 8 8 9 9 9 8 8 8 9 9 9 9 9 8 9 9 9 10 10 9 8 8 8 8 8 8 9 10 10 8 7 6 5 5 6 7 7 7 8 8 8 9 9 11 12 11 11 10 9 8 8 7 7 6 6 7 8 9 10 11 10 9 8 7 7 7 7 8 8 8 9 10 10 nan
nan 7 8 8 9 9 9 8 8 8 9 10 10 10 9 7 6 5 6 8 8 8 9 10 11 11 11 10 10 11 11 11 12 13 12 11 11 10 10 10 11 10 10 10 10 10 10 10 9 9 9 8 7 7 7 7 7 6 7 8 8 8 8 9 9 9 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 11 11 9 8 7 6 6 6 6 6 7 7 8 8 9 9 10 10 10 9 10 10 10 8 8 7 7 7 7 8 8 9 10 10 9 7 6 6 7 8 8 9 9 9 10 10 nan
nan 7 8 9 9 9 8 8 9 9 10 11 10 9 8 7 6 6 8 9 9 9 9 10 11 12 12 11 12 12 12 12 12 13 12 11 11 12 12 12 12 12 11 10 9 9 9 9 9 9 8 7 6 6 6 6 6 6 7 8 8 8 8 9 9 9 8 8 8 9 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 11 11 10 9 8 7 7 6 6 6 7 7 8 8 9 9 9 9 9 9 10 11 10 8 8 8 8 8 8 8 8 9 10 10 9 8 6 6 7 8 8 8 9 9 8 8 nan
nan 7 7 8 9 8 8 8 9 10 10 10 9 9 8 8 7 7 8 9 9 10 10 11 12 12 11 11 11 11 10 10 10 10 10 10 11 12 12 12 11 10 9 8 7 7 7 8 8 8 7 6 6 6 6 6 6 6 7 7 7 7 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 8 8 9 10 10 10 9 8 8 7 6 6 6 7 7 7 8 8 9 9 9 9 10 11 11 9 8 7 7 8 8 9 9 9 9 9 10 11 9 8 7 7 7 7 7 7 7 6 6 nan
nan 7 7 8 8 8 8 8 9 9 10 9 9 9 9 9 8 7 8 8 9 10 11 11 11 11 10 10 10 9 7 7 7 7 7 8 9 9 9 8 8 7 7 6 6 6 6 7 7 7 6 6 6 6 6 6 6 7 7 6 6 6 7 8 8 8 8 8 8 8 8 9 9 9 9 8 9 9 9 10 10 10 10 9 9 8 8 8 9 10 10 9 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 10 11 10 8 7 7 7 7 8 10 10 9 8 8 9 11 11 10 9 8 7 6 5 5 5 5 6 nan
nan 7 7 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 9 9 8 7 6 6 6 6 6 6 6 6 5 5 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 7 7 8 8 8 8 8 8 9 9 10 9 9 8 9 9 9 9 10 9 9 9 9 8 8 8 9 9 10 9 9 8 8 7 7 7 8 8 9 9 9 8 8 8 9 9 9 8 8 8 8 7 6 7 9 10 9 8 7 8 10 11 11 11 10 9 8 7 6 6 7 8 nan
nan 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 11 12 12 11 10 9 8 8 9 9 9 8 8 8 8 7 7 7 6 6 5 5 4 4 4 5 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 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 8 9 9 9 9 9 8 8 8 7 7 7 7 8 9 9 9 9 8 8 9 8 8 8 8 9 8 8 7 7 8 9 9 9 8 9 9 10 10 11 11 11 10 10 9 10 10 10 nan
nan 12 11 11 11 11 11 10 10 9 9 9 9 9 10 10 11 12 12 11 10 9 8 8 8 8 7 8 8 8 9 9 9 8 8 7 6 6 6 6 5 5 5 5 5 5 4 4 5 5 6 6 6 6 7 7 7 7 7 6 6 6 7 8 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 9 8 8 8 7 7 8 9 9 8 9 9 9 9 9 8 8 7 7 6 6 7 8 9 10 9 9 9 8 8 8 9 10 11 12 12 12 11 11 nan
nan 15 13 13 12 12 11 10 9 9 9 9 10 10 10 10 10 10 9 8 8 7 7 7 7 6 6 6 6 7 8 9 9 9 9 8 7 7 8 7 6 5 5 4 4 4 4 5 6 7 7 8 8 8 8 7 7 7 7 7 6 6 6 7 8 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 10 10 9 8 6 6 7 8 8 8 9 10 11 11 10 9 7 7 7 6 5 6 8 9 10 10 10 9 8 7 6 6 8 10 12 12 12 12 12 nan
nan 17 15 13 13 12 10 9 9 9 9 9 10 10 10 10 9 7 7 7 7 7 7 7 6 5 5 6 6 7 8 8 9 10 9 8 7 7 8 7 5 4 4 4 5 5 5 6 7 8 9 9 8 8 8 8 8 8 8 8 7 6 6 6 7 8 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 9 8 8 8 9 9 9 9 8 7 6 7 7 8 9 10 11 11 11 10 9 8 8 7 6 5 6 7 8 9 10 10 10 9 7 6 5 6 8 9 10 11 12 12 nan
nan 19 17 15 14 12 10 10 10 9 9 9 10 10 10 9 8 8 9 9 9 8 8 7 6 5 6 6 7 7 8 8 9 9 9 8 8 8 7 6 5 4 4 5 6 6 7 7 8 9 9 8 8 8 8 8 7 8 9 9 8 7 6 6 6 6 7 6 6 6 6 6 6 6 7 7 7 8 8 9 9 8 8 7 7 7 7 8 9 9 9 8 8 7 8 8 9 9 8 8 8 7 8 8 9 10 10 10 10 9 9 9 8 7 6 6 7 7 8 8 9 9 9 9 8 7 7 7 7 7 8 9 10 12 nan
nan 21 19 17 15 12 10 10 11 11 10 10 10 10 10 9 9 9 10 11 11 10 9 7 6 6 6 7 7 8 9 9 8 8 8 8 8 8 8 7 6 5 6 8 9 8 8 8 8 9 8 8 8 9 8 8 8 8 10 10 9 8 7 6 5 5 5 5 6 6 7 7 7 7 7 7 8 8 8 9 8 8 7 7 7 7 8 8 8 9 8 8 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 10 10 9 7 6 6 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 10 nan
nan 19 21 20 16 12 11 12 12 12 12 11 10 9 10 10 10 10 10 10 10 9 9 8 7 6 6 7 8 9 9 10 9 7 6 6 7 8 8 8 7 8 9 10 10 9 8 8 8 8 8 8 8 9 8 8 8 9 10 9 8 8 7 6 5 5 6 7 8 8 8 8 8 8 8 8 8 9 9 8 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 10 9 8 8 9 10 10 9 8 8 8 7 7 7 8 8 8 7 7 7 8 9 9 nan
nan 11 16 17 15 13 12 13 13 12 11 11 10 9 10 10 10 10 9 8 8 9 9 9 8 7 7 8 9 9 9 9 7 5 4 5 6 7 8 8 8 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 7 7 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 11 11 10 10 10 11 10 9 8 9 8 8 8 7 7 7 7 7 6 6 6 7 8 9 nan
nan 3 8 11 12 11 11 10 10 10 11 12 10 9 9 9 10 9 8 7 7 8 9 9 8 8 8 8 8 8 8 7 5 4 4 5 6 7 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 7 7 7 8 8 9 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 8 8 7 8 9 10 9 9 8 8 8 8 8 8 9 9 9 10 9 8 7 8 9 10 11 11 11 11 9 8 9 9 9 8 8 8 7 7 6 6 6 5 5 6 7 8 nan
nan 0 4 6 6 6 5 5 6 9 11 12 10 9 8 8 8 8 7 7 7 7 8 8 9 9 8 8 7 7 6 5 5 6 7 8 8 9 10 11 11 11 10 9 8 8 8 8 8 8 8 8 9 8 7 6 6 6 6 6 6 7 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 9 10 9 8 8 8 8 8 8 9 9 9 9 9 8 7 6 6 8 9 11 11 11 10 9 9 9 9 9 9 8 8 8 7 7 7 6 6 5 5 6 6 nan
nan 0 2 2 2 1 1 3 5 8 10 11 10 9 8 7 6 6 7 6 5 6 7 8 9 10 9 8 7 6 6 6 6 8 9 11 11 11 11 11 11 10 10 9 9 9 8 8 8 8 8 9 9 7 7 5 5 6 6 6 6 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 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 7 7 6 6 7 8 9 10 10 9 9 9 9 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 nan
nan 1 1 1 1 1 2 4 5 7 9 11 11 9 7 6 5 5 6 6 5 6 7 9 10 10 9 8 7 7 7 8 9 10 11 12 12 12 11 11 10 10 9 9 10 10 10 10 10 9 9 9 8 7 7 6 6 6 6 6 7 7 7 7 7 7 8 8 7 7 7 6 6 7 7 8 8 8 8 7 8 8 8 8 8 8 8 8 8 9 10 10 10 9 8 8 9 10 10 10 9 9 8 8 7 7 7 7 6 6 6 7 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 nan
nan 3 3 3 4 5 6 6 7 8 9 10 10 9 7 5 5 6 6 6 7 8 9 11 11 11 10 9 9 9 9 10 11 12 13 13 13 12 11 11 11 10 10 10 11 11 12 12 11 9 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 8 8 8 8 7 7 6 6 6 7 8 9 9 8 7 7 8 8 8 8 7 8 8 9 10 10 11 10 9 9 9 10 10 10 9 9 8 8 7 7 7 6 6 6 6 7 7 8 8 7 7 6 6 6 5 6 6 6 7 7 7 8 8 8 8 8 9 9 10 nan
nan 4 4 5 7 9 9 9 9 9 10 10 10 9 7 6 5 6 7 8 9 10 11 12 12 11 10 10 9 10 10 11 12 13 13 13 12 12 11 11 11 11 11 12 12 11 11 10 9 7 6 6 6 7 7 7 7 7 7 6 7 7 7 7 8 8 8 8 8 8 7 7 6 5 6 8 9 9 8 8 7 7 8 8 8 8 8 9 9 10 10 10 10 10 10 11 10 10 9 8 8 8 8 7 7 6 6 6 6 7 7 8 8 7 7 6 6 5 5 5 5 5 6 7 8 8 9 9 9 9 9 9 10 10 nan
nan 5 6 7 10 12 13 12 11 10 10 11 10 9 7 6 6 7 8 10 11 11 12 12 11 10 10 10 10 10 11 11 12 12 12 12 12 11 11 10 10 11 12 12 12 10 9 8 6 5 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 6 6 7 8 9 9 8 8 7 7 8 9 8 8 8 8 8 8 9 9 10 11 11 11 10 9 9 8 8 7 7 7 7 6 6 5 6 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 8 9 9 10 10 10 10 10 9 9 nan
nan 8 10 12 14 16 16 14 13 12 12 12 10 9 7 7 7 8 9 10 11 12 12 11 11 10 10 10 11 12 12 12 12 12 12 11 11 11 10 9 9 10 11 12 11 9 7 7 6 6 7 6 6 6 6 6 7 7 7 7 7 8 8 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 7 6 7 8 9 9 10 11 11 10 10 9 9 8 8 7 7 7 7 7 6 6 6 6 6 6 7 8 8 7 7 7 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 8 nan
nan 13 15 17 18 18 17 15 14 14 14 13 11 10 9 8 8 8 9 10 11 11 11 11 10 10 10 11 12 12 12 12 12 11 11 10 10 9 9 9 9 10 10 10 9 7 6 6 6 7 6 6 5 6 6 6 7 8 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 6 6 7 8 8 8 8 7 8 8 9 9 10 10 10 10 9 9 8 8 7 7 7 7 7 7 7 6 6 6 6 7 8 9 10 8 7 7 8 9 10 10 9 8 7 7 8 9 9 10 9 9 8 8 nan
nan 18 19 19 18 17 15 14 14 14 14 13 13 11 10 9 9 9 10 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 9 9 8 9 10 10 10 10 9 8 7 7 7 7 7 6 6 6 6 6 6 7 8 8 8 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 8 8 8 8 8 8 8 9 9 10 11 11 10 9 9 8 8 9 9 9 8 8 7 7 7 7 8 8 7 7 7 7 7 7 8 9 11 11 10 8 7 8 9 10 10 9 8 7 6 7 8 9 9 8 8 8 7 nan
nan 20 19 17 16 15 14 13 13 13 13 13 13 13 12 10 9 9 10 10 11 11 10 10 9 9 10 10 9 9 9 9 9 8 8 8 8 8 9 10 10 9 8 6 6 7 8 8 7 6 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 9 10 10 10 10 9 9 10 11 12 12 10 8 7 6 7 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 8 9 11 12 12 10 9 8 8 9 9 9 9 8 7 6 6 7 8 8 8 8 8 7 nan
nan 18 16 15 14 13 13 13 12 12 12 12 13 14 12 10 9 9 9 9 10 9 9 9 8 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 6 5 5 7 8 8 7 7 7 8 8 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 10 10 10 10 9 9 9 10 10 9 8 7 6 5 6 6 7 8 8 8 8 8 7 7 7 8 8 8 7 7 7 8 9 11 12 11 10 9 9 10 10 9 9 8 8 7 6 6 6 6 7 8 8 8 8 nan
nan 16 14 13 12 12 12 11 11 10 10 11 13 13 11 9 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 7 8 9 9 9 8 7 7 7 7 7 7 6 7 8 9 8 7 7 7 8 9 10 11 11 11 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 6 6 6 5 5 6 6 7 8 8 8 8 7 7 7 8 9 8 7 7 7 8 9 11 11 10 8 7 8 10 10 9 8 8 8 7 7 6 5 5 6 7 7 8 8 nan
nan 14 13 12 12 11 10 10 10 9 10 10 12 12 10 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 8 9 10 10 9 8 7 7 8 9 9 8 8 8 9 9 9 8 8 8 9 10 11 12 12 11 10 10 10 9 9 9 9 8 8 8 8 8 8 9 10 10 9 9 8 9 9 9 9 9 8 9 9 9 8 8 7 6 6 6 6 6 6 6 6 7 8 8 8 7 7 6 6 7 9 9 8 7 6 6 9 11 11 10 8 7 7 9 9 9 9 9 9 8 8 7 7 6 6 7 7 7 7 nan
nan 14 13 12 11 10 9 9 9 9 10 10 11 10 9 9 8 8 8 9 9 9 9 9 9 8 8 8 7 7 8 9 10 10 10 9 8 7 8 9 10 10 10 9 9 9 9 9 8 9 10 11 11 12 11 11 10 10 10 10 9 9 9 9 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 6 7 7 7 7 8 8 8 8 7 6 6 7 8 9 8 7 6 6 8 10 11 10 8 7 8 8 9 9 9 9 10 10 10 9 9 8 7 6 6 6 7 nan
nan 14 14 13 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 11 11 11 11 10 10 10 9 10 11 12 13 12 12 11 10 9 9 9 9 9 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 9 9 8 6 6 7 8 9 9 8 7 7 9 10 10 10 9 8 8 8 8 9 9 10 11 11 10 10 9 9 7 6 6 7 7 nan
nan 13 13 12 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 8 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 11 12 12 12 12 11 11 11 12 13 13 12 11 10 10 9 9 9 9 8 8 9 10 10 11 11 11 11 10 9 8 8 8 9 9 10 10 10 9 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 7 10 10 9 7 6 7 8 9 9 8 7 8 10 11 10 10 9 8 7 7 8 9 9 11 11 11 10 9 8 8 7 6 6 7 7 nan
nan 12 11 11 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 10 9 7 6 7 7 8 9 9 9 8 8 8 8 8 8 8 9 9 10 10 11 11 12 13 13 13 13 12 12 11 11 11 11 10 10 10 9 10 10 9 9 9 9 10 10 11 11 11 11 10 9 7 7 8 9 9 10 10 10 10 9 9 8 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 8 7 7 9 9 9 8 8 8 9 10 10 9 9 9 9 8 8 8 8 9 11 11 10 9 8 8 8 7 7 6 7 7 nan
nan 10 10 9 9 9 9 9 8 8 9 9 10 10 10 10 10 9 9 8 7 6 6 7 7 8 8 9 9 8 8 8 8 8 8 9 9 10 10 11 11 11 12 12 13 13 12 11 10 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 9 9 10 11 12 11 9 8 7 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 8 8 7 6 8 10 10 9 8 7 8 9 10 9 9 9 9 9 9 9 9 8 9 10 10 10 9 9 10 9 8 7 7 7 8 nan
nan 11 11 10 9 9 9 8 8 9 9 10 10 10 10 9 8 8 7 7 6 7 7 7 7 7 8 9 9 9 8 7 7 7 7 8 8 9 10 11 11 11 11 11 11 11 10 9 9 8 8 9 9 10 11 11 11 10 9 9 9 9 10 9 9 9 10 11 11 11 10 9 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 7 8 8 8 9 9 10 9 9 7 6 6 9 11 10 9 8 8 9 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 10 11 10 8 7 7 8 10 nan
nan 12 11 10 9 10 10 9 9 10 10 11 11 12 10 9 8 7 7 7 7 7 7 7 7 7 8 9 9 8 8 8 7 6 6 7 8 9 10 11 11 11 11 11 10 10 9 8 8 9 9 9 9 10 10 11 11 11 10 9 9 9 10 10 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 10 10 10 9 7 6 7 9 10 10 9 9 10 11 12 11 11 9 8 7 7 8 8 8 9 10 10 9 9 10 11 11 10 9 9 9 10 11 nan
nan 12 10 9 9 10 10 10 10 10 11 12 13 13 11 9 8 7 8 8 7 5 5 6 7 9 10 9 9 8 9 9 8 7 7 8 8 9 10 11 10 10 10 10 10 9 8 8 8 9 10 10 10 9 10 10 11 11 11 10 9 10 10 10 10 10 10 10 10 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 10 10 10 10 9 8 6 7 9 9 9 10 11 13 14 13 12 11 9 7 7 8 8 8 9 11 12 11 11 10 11 11 11 10 10 10 10 11 11 nan
nan 12 10 9 8 8 9 9 8 8 9 11 12 12 11 10 9 8 8 7 6 4 4 5 8 9 10 9 8 9 10 10 9 8 8 8 8 9 10 10 10 9 9 9 9 8 8 8 9 9 10 10 10 9 9 10 10 11 10 10 9 10 10 9 9 10 10 10 11 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 8 8 7 8 8 8 9 9 10 10 10 10 10 10 8 6 6 8 9 9 10 11 14 15 14 13 10 8 8 9 10 10 10 11 12 12 12 12 12 12 11 11 11 11 11 11 10 10 nan
nan 10 9 8 7 7 6 6 6 7 7 9 10 10 10 9 8 7 6 5 4 4 4 6 7 9 9 9 9 9 10 11 10 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 9 9 9 9 9 9 8 8 8 8 9 9 10 11 12 11 11 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 10 10 10 10 10 10 10 9 7 7 9 9 9 10 11 13 14 14 12 11 10 11 12 13 12 12 12 11 11 11 12 12 11 11 11 11 11 11 11 10 8 nan
nan 9 7 6 5 6 6 6 6 6 6 7 7 8 8 8 7 5 3 2 3 5 6 7 8 8 9 9 10 10 10 11 10 9 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 8 8 8 7 7 8 8 9 9 10 11 11 11 10 10 10 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 10 9 8 9 10 11 11 10 11 12 13 13 13 12 12 13 13 13 12 12 11 9 8 8 10 11 10 10 10 11 11 11 11 10 8 nan
nan 9 7 6 6 7 8 8 8 7 7 6 6 6 7 8 6 4 2 2 4 6 8 8 9 10 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 9 10 10 9 8 8 8 8 8 8 8 7 7 8 8 8 9 9 10 11 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 11 12 12 11 10 9 9 10 12 12 12 12 12 13 14 14 13 13 12 12 11 10 10 9 9 8 7 7 8 9 9 9 9 10 10 11 11 10 9 nan
nan 10 9 8 9 10 11 11 10 9 8 7 6 6 7 7 6 4 4 5 7 8 9 10 10 10 11 10 10 10 9 9 8 9 9 9 9 8 8 7 8 8 8 7 7 8 8 9 9 10 10 9 9 8 8 9 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 11 12 12 13 12 11 10 10 11 12 13 13 13 13 12 12 11 11 10 10 9 8 7 7 7 7 8 8 8 8 9 9 9 9 9 9 10 11 10 10 nan
nan 10 9 9 10 11 12 12 12 10 8 7 7 8 8 7 6 5 6 7 9 10 11 11 10 10 10 9 9 9 9 8 8 8 9 9 9 8 8 7 7 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 8 8 8 9 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 10 10 11 12 13 13 13 13 13 12 11 12 12 13 13 12 11 9 8 7 7 7 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 10 10 10 10 11 nan
nan 9 9 9 11 12 13 12 11 10 8 7 7 8 8 7 5 5 6 8 10 11 11 11 10 10 9 9 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 9 9 9 9 9 8 9 9 9 9 9 9 9 10 9 9 8 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 10 10 10 11 12 13 14 15 15 15 14 13 12 12 12 12 11 11 10 8 7 7 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 10 10 10 10 10 11 nan
nan 9 9 10 12 13 12 11 9 7 6 6 6 7 7 7 7 7 8 9 10 10 10 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 12 12 13 14 16 17 17 17 16 15 13 12 11 11 11 10 9 8 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 10 11 nan
nan 9 10 11 12 12 11 9 7 5 5 6 6 7 8 9 9 9 9 9 9 10 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 14 15 16 16 17 18 18 17 16 14 12 11 10 10 9 9 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 nan
nan 10 11 12 12 11 9 7 6 5 6 6 7 8 9 9 9 9 9 9 10 10 11 11 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 8 9 9 10 10 11 11 11 11 11 12 12 12 13 13 14 14 14 14 15 16 17 17 17 16 16 16 15 14 13 12 11 10 9 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 nan
nan 11 11 11 11 9 8 7 6 6 7 8 9 9 10 9 7 7 8 9 9 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 12 13 13 14 14 15 15 15 15 16 16 17 17 17 16 15 14 13 12 11 10 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 nan
nan 10 10 10 9 7 7 6 6 6 8 9 10 10 10 9 8 7 8 8 9 9 9 9 9 9 9 8 8 9 9 10 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 11 11 11 11 11 12 12 13 13 14 14 15 15 15 15 15 15 16 16 15 15 14 12 11 9 8 7 7 7 7 8 8 8 8 9 9 8 8 8 8 8 8 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 10 10 10 nan
nan 9 9 9 8 7 6 6 6 7 9 10 11 11 10 10 9 9 9 9 8 8 9 9 9 8 8 8 9 9 10 10 9 9 8 8 7 8 8 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 13 13 13 14 14 14 15 15 15 15 14 14 14 14 13 11 10 8 7 6 6 7 7 8 8 8 8 8 8 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 10 10 10 nan
nan 9 9 8 8 7 6 6 7 8 10 10 11 11 11 11 11 11 10 9 9 9 9 9 9 9 8 8 8 9 10 9 9 8 7 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 11 11 12 11 11 12 12 12 12 13 13 13 12 12 12 13 13 14 14 14 14 13 13 13 13 13 13 13 12 12 11 10 8 8 7 7 7 7 7 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 9 9 9 9 9 9 9 10 10 10 nan
nan 9 9 9 8 8 8 8 8 9 9 10 11 11 12 12 12 11 11 10 10 10 10 10 10 9 8 7 7 8 10 10 9 8 7 7 7 9 10 11 12 12 12 12 11 11 11 12 12 12 12 12 11 11 10 10 11 11 12 13 13 13 13 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 12 12 12 11 10 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 nan
nan 10 10 9 9 9 10 9 9 9 9 9 10 11 12 12 12 11 11 11 11 12 11 10 9 8 8 7 8 9 10 11 10 10 8 8 9 11 13 15 15 16 15 14 14 13 13 13 13 13 14 13 13 13 13 13 14 14 14 14 13 13 13 13 14 14 13 12 12 12 12 12 12 12 12 12 13 12 12 11 11 10 10 10 10 10 11 10 10 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 nan
nan 11 10 9 9 9 9 9 9 8 8 9 9 10 11 11 11 11 11 11 12 12 11 9 8 8 8 8 10 11 11 12 12 11 11 11 12 14 16 17 17 17 17 15 14 13 12 12 11 11 12 12 12 13 14 14 15 15 14 12 12 11 11 11 12 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 10 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 6 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 nan
nan 10 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 9 9 9 10 10 9 10 10 11 11 12 13 13 13 13 13 13 13 13 14 14 15 15 15 14 14 13 12 11 11 10 10 10 10 11 11 12 13 13 12 12 11 10 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 6 6 6 6 5 5 6 6 7 8 8 9 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 10 nan
nan 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 9 9 10 10 11 13 14 15 15 15 14 13 13 13 12 12 12 12 12 11 11 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 7 6 5 5 4 4 4 4 4 5 6 7 7 7 8 9 9 9 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 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 11 12 13 13 15 16 17 16 15 13 12 12 11 10 10 9 9 9 8 8 7 7 7 8 8 9 9 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 10 9 9 8 9 9 9 9 8 7 7 7 8 8 9 9 9 9 10 10 9 8 8 8 8 8 8 9 9 9 8 7 6 5 4 3 3 3 4 5 5 6 6 7 7 8 8 9 9 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 nan
nan 9 9 9 9 9 9 9 9 8 8 8 8 9 10 11 12 13 14 15 15 14 15 15 15 13 12 10 10 9 8 7 7 7 6 7 7 7 6 7 7 8 9 9 9 9 9 8 8 8 8 8 8 9 10 11 11 11 12 11 10 9 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 10 10 9 9 8 7 7 7 8 8 8 8 8 8 7 6 5 5 5 5 5 6 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 nan
nan 9 9 9 9 9 8 8 8 8 9 9 9 10 11 13 14 15 15 15 14 13 13 12 11 10 9 8 8 7 6 6 5 6 6 7 8 9 9 9 9 9 8 8 8 8 7 7 7 7 8 9 10 10 11 11 10 10 9 7 7 6 6 7 7 8 8 8 8 7 7 7 8 8 8 9 9 10 10 9 8 7 7 7 7 7 7 7 7 7 6 5 5 6 6 7 7 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 9 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
2583 2596 2634 2656 2657 2649 2636 2626 2642 2643 2644 2635 2618 2594 2563 2549 2511 2513 2528 2528 2523 2515 2498 2483 2465 2437 2465 2478 2491 2489 2443 2390 2380 2356 2244 2173 2106 2047 2026 2048 2121 2133 2077 2045 2089 2176 2266 2334 2326 2314 2380 2424 2457 2488 2523 2557 2558 2479 2273 2075 1845 1621 1454 1365 1349 1408 1499 1615 1720 1812 1945 2075 2099 2068 1995 2007 2013 1951 1825 1714 1670 1631 1558 1303 1026 829 698 602 523 455 412 410 410 404 398 385 359 327 294 252 212 194 186 182 173 159 148 161 154 121 101 93 87 80 70 57 45 39 47 106 130 55 24 16 6 1 1 3 4 12 41 44 14 2 0
2462 2470 2507 2538 2553 2562 2572 2576 2584 2583 2587 2569 2571 2599 2586 2498 2450 2489 2535 2549 2553 2553 2536 2517 2496 2474 2467 2436 2385 2341 2324 2332 2311 2268 2116 2072 2051 2029 2027 2044 2088 2088 2020 1981 2008 2064 2125 2172 2133 2116 2141 2147 2146 2158 2186 2231 2301 2306 2186 2063 1919 1780 1673 1606 1578 1586 1637 1714 1758 1784 1849 1930 1942 1932 1930 1926 1891 1813 1704 1599 1516 1425 1243 1014 831 711 624 550 490 436 400 387 368 339 307 276 250 229 208 185 172 167 164 159 151 141 128 112 102 91 79 67 58 51 44 34 26 17 14 24 22 2 0 0 0 0 0 0 0 7 38 47 11 0 0
2392 2380 2402 2441 2479 2512 2542 2545 2543 2618 2633 2606 2616 2667 2679 2622 2548 2493 2542 2569 2574 2571 2551 2532 2520 2493 2450 2388 2313 2256 2234 2221 2169 2116 2018 2000 2015 2021 2012 2003 2018 2014 1923 1903 1923 1962 2002 2015 1975 1945 1932 1908 1893 1911 1971 2053 2102 2092 2084 2032 1964 1899 1842 1792 1756 1740 1754 1762 1743 1718 1715 1735 1763 1804 1819 1790 1738 1670 1576 1469 1368 1212 980 785 676 622 568 506 457 411 368 331 294 255 220 194 179 173 160 152 147 143 137 131 122 113 109 98 90 78 63 50 40 32 25 19 13 7 3 1 1 0 0 0 0 0 0 0 0 2 13 15 3 0 0
2359 2327 2338 2381 2441 2496 2527 2531 2556 2648 2689 2699 2715 2745 2758 2721 2638 2482 2548 2591 2594 2588 2571 2549 2532 2485 2414 2338 2270 2229 2194 2108 2049 2015 1968 1967 1996 2012 1989 1938 1906 1899 1850 1848 1862 1882 1900 1894 1868 1846 1822 1796 1778 1790 1848 1928 1955 1970 2003 2014 2004 1984 1955 1912 1866 1826 1792 1740 1688 1645 1614 1608 1642 1682 1681 1648 1618 1561 1466 1350 1212 1006 784 647 593 559 511 454 400 342 290 252 218 189 168 156 152 146 133 124 116 109 104 102 100 96 93 85 76 64 50 37 26 18 11 6 3 1 0 0 0 0 0 0 0 0 0 0 0 1 5 2 0 0 0
2326 2294 2316 2364 2430 2492 2521 2529 2561 2631 2699 2749 2790 2822 2832 2813 2736 2541 2565 2597 2605 2603 2594 2577 2537 2463 2378 2303 2233 2151 2076 2058 2004 1976 1956 1963 1994 2009 1971 1887 1807 1817 1796 1793 1802 1817 1830 1819 1794 1781 1780 1769 1750 1750 1787 1839 1864 1890 1940 1985 2007 2007 1989 1952 1885 1816 1769 1739 1720 1691 1640 1577 1539 1542 1589 1604 1566 1465 1324 1172 1007 831 684 606 570 529 468 399 329 264 214 188 168 150 138 131 129 121 110 99 92 84 78 78 77 74 71 67 59 48 35 23 14 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 1 0 0 0
2256 2263 2303 2365 2432 2486 2515 2533 2566 2627 2688 2742 2791 2827 2847 2856 2712 2578 2579 2597 2611 2625 2625 2584 2505 2432 2342 2272 2192 2116 2069 2027 1979 1950 1939 1938 1962 1980 1946 1852 1750 1776 1743 1751 1778 1791 1786 1786 1776 1805 1816 1802 1776 1763 1776 1797 1809 1847 1910 1979 2030 2037 1999 1946 1876 1820 1811 1828 1829 1789 1697 1567 1453 1453 1520 1535 1450 1284 1088 916 786 689 622 583 538 480 416 343 261 204 170 155 141 126 115 107 102 95 90 80 75 68 57 54 50 47 46 45 40 32 22 12 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2204 2250 2309 2375 2436 2484 2517 2548 2589 2640 2688 2727 2765 2798 2814 2797 2688 2602 2595 2616 2638 2650 2639 2588 2495 2389 2314 2252 2179 2096 2029 1998 1971 1940 1927 1925 1930 1936 1914 1827 1723 1729 1711 1711 1742 1763 1762 1783 1793 1840 1855 1843 1813 1788 1788 1803 1817 1858 1929 2008 2074 2082 2018 1945 1892 1860 1855 1868 1852 1785 1672 1531 1418 1426 1450 1389 1231 1022 825 668 571 528 499 467 429 388 344 280 203 161 144 132 115 100 92 96 107 78 73 65 55 46 35 29 24 19 18 20 19 14 8 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2188 2252 2324 2391 2447 2494 2536 2580 2632 2674 2712 2736 2765 2793 2799 2765 2663 2607 2611 2632 2651 2663 2653 2594 2491 2365 2314 2227 2135 2079 2054 2019 1977 1929 1885 1862 1847 1843 1832 1772 1710 1713 1712 1705 1738 1776 1784 1815 1849 1890 1891 1867 1831 1803 1806 1836 1869 1909 1969 2028 2067 2058 1995 1920 1869 1825 1791 1778 1749 1679 1576 1452 1359 1319 1246 1104 914 725 577 483 421 383 355 331 311 291 264 213 158 130 114 97 79 65 56 58 62 54 53 52 47 38 24 11 6 3 1 2 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
2184 2266 2351 2421 2477 2527 2576 2627 2686 2724 2753 2772 2791 2807 2803 2766 2693 2640 2635 2655 2678 2690 2661 2561 2471 2356 2307 2230 2137 2063 2013 1965 1934 1914 1875 1823 1778 1753 1744 1732 1711 1702 1693 1688 1739 1809 1847 1902 1947 1958 1923 1869 1823 1810 1835 1868 1900 1928 1967 1991 1980 1928 1844 1749 1682 1611 1571 1549 1521 1471 1384 1271 1159 1033 876 729 590 456 352 289 263 247 234 227 225 219 197 151 121 99 78 61 45 33 23 19 20 25 28 34 42 46 41 21 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 0 0
2187 2290 2389 2467 2529 2587 2643 2695 2754 2790 2813 2829 2841 2843 2825 2778 2713 2676 2664 2688 2698 2693 2666 2577 2470 2389 2330 2255 2160 2073 2016 1981 1946 1926 1864 1791 1734 1712 1715 1711 1684 1681 1685 1722 1804 1902 1980 2030 2038 1991 1906 1841 1800 1793 1823 1807 1834 1837 1837 1814 1743 1637 1535 1420 1345 1263 1239 1229 1209 1165 1084 972 850 715 571 449 349 265 209 174 153 150 152 157 161 156 138 110 89 70 53 37 24 14 8 5 5 5 6 10 15 29 72 41 11 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
2210 2331 2436 2522 2589 2654 2718 2775 2833 2869 2889 2895 2893 2878 2846 2793 2726 2708 2693 2726 2736 2728 2703 2618 2508 2431 2361 2284 2225 2156 2077 2042 1982 1921 1852 1791 1746 1708 1671 1654 1636 1679 1735 1843 1970 2073 2119 2096 2019 1940 1820 1763 1705 1635 1620 1523 1519 1511 1486 1451 1370 1245 1143 1021 944 888 878 877 856 808 737 639 540 445 343 262 207 162 133 115 104 102 105 109 109 104 94 78 63 48 34 23 13 6 2 1 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
2243 2368 2487 2575 2645 2714 2783 2848 2903 2938 2943 2934 2924 2894 2847 2795 2740 2719 2724 2772 2796 2783 2735 2653 2553 2466 2389 2329 2269 2188 2089 2008 1960 1921 1874 1821 1762 1698 1655 1679 1707 1810 1961 2083 2142 2137 2080 1972 1811 1742 1599 1526 1441 1305 1230 1119 1072 1070 1044 1032 993 893 806 708 641 602 584 568 539 490 435 375 313 257 202 158 126 100 81 68 60 61 65 69 68 64 59 53 44 32 21 12 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2248 2349 2498 2582 2667 2745 2817 2885 2933 2950 2958 2931 2920 2880 2816 2775 2768 2783 2800 2842 2863 2837 2765 2665 2558 2475 2426 2383 2295 2184 2097 2043 1987 1957 1939 1904 1845 1788 1776 1831 1912 1964 2027 2061 2010 1888 1763 1644 1461 1378 1262 1168 1071 949 857 780 731 732 711 710 700 637 583 531 489 451 418 378 330 285 245 215 183 153 121 95 76 60 49 41 36 35 37 40 40 38 35 31 27 19 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2185 2252 2415 2495 2592 2674 2741 2800 2840 2847 2904 2882 2888 2869 2825 2795 2773 2827 2878 2921 2935 2892 2799 2692 2603 2537 2475 2393 2291 2200 2141 2099 2070 2083 2103 2085 2041 1984 1929 1920 1916 1836 1756 1671 1552 1415 1311 1225 1103 997 892 811 743 667 594 538 499 513 511 506 496 464 438 415 389 362 335 293 233 185 157 139 122 103 83 65 53 42 34 23 17 15 16 17 18 18 16 14 12 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2057 2112 2255 2331 2426 2508 2568 2631 2703 2713 2807 2822 2847 2860 2853 2838 2825 2870 2949 3003 3011 2948 2842 2745 2663 2585 2482 2389 2311 2250 2209 2196 2208 2257 2270 2202 2081 1955 1846 1743 1628 1500 1375 1241 1112 1002 917 859 794 708 617 544 494 457 417 377 339 351 364 363 350 335 332 330 310 294 274 239 193 153 127 110 94 77 62 49 38 28 17 8 2 1 2 3 3 3 3 3 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 0 0 0 0 0 0 0
1910 1957 2069 2153 2236 2322 2384 2456 2574 2618 2712 2760 2801 2833 2850 2852 2861 2920 3013 3066 3056 2973 2851 2750 2698 2596 2488 2405 2341 2303 2302 2336 2359 2389 2312 2149 1949 1759 1601 1457 1305 1176 1056 933 825 744 676 617 566 505 438 375 332 318 307 289 283 265 247 239 236 228 229 230 221 219 212 192 163 135 112 93 75 60 48 37 25 13 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1791 1831 1914 2013 2077 2165 2225 2311 2470 2552 2669 2726 2767 2803 2821 2824 2848 2947 3054 3097 3067 2976 2862 2761 2668 2585 2517 2465 2426 2422 2459 2492 2473 2407 2246 2024 1795 1594 1419 1248 1070 945 837 734 644 573 512 457 405 355 309 263 231 230 229 222 227 199 169 155 151 147 147 149 146 150 153 149 137 117 96 75 59 46 35 23 11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1695 1745 1818 1926 1977 2069 2139 2249 2432 2530 2654 2709 2734 2761 2790 2819 2866 2957 3080 3117 3090 3019 2918 2801 2696 2629 2577 2561 2562 2587 2626 2618 2507 2343 2132 1897 1670 1471 1298 1125 941 803 697 602 518 449 393 341 296 251 218 188 166 163 160 154 143 126 113 104 96 92 91 89 89 93 98 101 100 97 77 57 42 31 19 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1625 1688 1760 1880 1937 2025 2109 2222 2371 2474 2580 2650 2687 2726 2771 2820 2878 2949 3084 3145 3149 3106 3022 2912 2807 2735 2681 2685 2726 2764 2750 2643 2436 2214 1997 1787 1590 1408 1227 1023 843 696 582 490 416 357 307 263 230 194 167 147 129 119 111 104 99 87 75 66 61 57 55 52 52 54 56 58 56 53 46 38 28 17 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1618 1677 1746 1857 1917 1982 2056 2152 2269 2380 2487 2576 2631 2696 2750 2791 2850 2933 3092 3192 3220 3191 3118 3019 2917 2854 2818 2827 2865 2873 2788 2592 2334 2096 1884 1674 1477 1283 1066 872 720 592 487 403 342 300 265 225 193 166 145 127 111 100 91 71 65 58 49 40 35 32 30 29 28 27 27 27 25 21 16 15 12 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1609 1647 1728 1820 1880 1926 1981 2060 2164 2276 2380 2496 2567 2650 2709 2753 2838 2962 3127 3245 3296 3286 3226 3140 3060 3003 2963 2946 2928 2860 2704 2472 2212 1974 1754 1529 1318 1115 905 743 613 500 411 346 300 269 240 205 174 151 132 115 101 94 93 59 43 32 23 18 15 14 10 8 6 6 8 7 6 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1616 1659 1730 1802 1846 1876 1912 1970 2061 2177 2288 2442 2529 2610 2680 2758 2879 3032 3189 3324 3405 3421 3385 3319 3247 3160 3076 2990 2890 2748 2542 2276 1990 1765 1549 1334 1125 929 756 624 514 419 348 297 262 234 206 182 158 135 115 97 82 73 71 44 24 14 10 9 5 4 2 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1618 1662 1732 1790 1829 1864 1897 1942 2018 2131 2262 2424 2522 2599 2680 2789 2944 3128 3299 3445 3538 3573 3555 3488 3377 3252 3113 2950 2761 2541 2283 1990 1706 1505 1311 1120 934 763 623 518 425 346 284 239 206 181 159 141 124 106 88 71 55 42 31 18 8 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1616 1677 1754 1823 1882 1930 1955 1984 2045 2154 2301 2461 2552 2629 2731 2876 3063 3269 3446 3587 3670 3696 3666 3578 3435 3249 3059 2833 2575 2280 1972 1700 1432 1230 1059 902 754 621 515 428 351 279 221 176 142 117 100 88 78 69 57 45 32 21 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1659 1741 1829 1918 2004 2061 2083 2094 2139 2243 2385 2524 2619 2718 2852 3028 3238 3457 3613 3735 3763 3712 3605 3453 3250 3004 2792 2518 2229 1906 1573 1324 1103 922 776 658 553 460 392 323 268 211 164 125 95 74 61 50 43 39 34 26 18 8 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1785 1879 1978 2079 2163 2212 2241 2257 2295 2379 2491 2607 2724 2859 3014 3206 3424 3615 3692 3725 3628 3432 3188 2950 2742 2469 2229 1937 1656 1380 1113 900 740 611 506 427 353 286 248 206 174 143 113 88 68 54 42 32 27 24 20 14 7 2 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1864 1975 2098 2224 2318 2360 2394 2425 2471 2545 2639 2745 2871 3024 3156 3321 3475 3466 3432 3288 3080 2856 2604 2349 2139 1834 1559 1294 1063 865 691 545 435 367 309 261 208 159 137 115 101 89 74 60 48 39 32 26 22 18 13 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1969 2107 2236 2363 2468 2524 2578 2631 2684 2736 2793 2874 2939 3024 3083 3104 3047 2867 2732 2521 2308 2162 2004 1784 1546 1251 1006 815 671 554 450 352 265 229 200 166 131 104 88 73 67 63 57 50 43 35 31 26 22 16 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2072 2230 2385 2512 2627 2706 2773 2822 2848 2855 2855 2863 2787 2739 2679 2572 2412 2231 2073 1893 1706 1625 1513 1307 1100 868 691 576 502 444 386 318 240 196 164 134 109 92 81 74 70 67 62 56 50 42 36 31 25 18 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2224 2387 2534 2674 2783 2862 2911 2922 2903 2841 2727 2588 2416 2284 2142 1988 1840 1715 1607 1509 1390 1324 1201 1002 842 681 559 482 435 402 365 309 241 184 152 135 124 114 105 98 94 87 80 73 65 58 50 40 29 18 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2433 2597 2733 2839 2911 2948 2936 2874 2745 2568 2372 2155 1952 1811 1686 1565 1450 1351 1281 1245 1198 1132 1025 883 739 594 500 431 384 348 311 266 208 166 148 145 146 145 140 131 125 113 101 91 80 68 54 40 27 13 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2659 2796 2895 2950 2963 2937 2847 2697 2475 2215 1966 1747 1571 1451 1361 1282 1196 1110 1096 1071 1051 993 905 794 662 529 448 387 342 298 256 230 202 176 163 163 167 171 176 162 149 134 119 104 88 71 50 32 18 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2755 2871 2938 2946 2891 2766 2574 2316 2075 1848 1614 1408 1275 1188 1123 1080 1021 939 936 929 916 880 814 707 570 479 393 347 311 273 240 224 209 187 179 184 191 192 194 183 162 143 125 107 86 64 37 17 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2302 2521 2693 2739 2629 2402 2148 1890 1664 1462 1275 1130 1035 976 942 928 892 826 825 856 838 790 724 631 514 463 376 334 301 266 234 213 201 188 176 178 183 178 171 159 142 126 110 94 74 45 22 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1388 1676 1968 2128 2084 1911 1669 1432 1250 1127 1039 950 843 809 813 820 807 776 757 747 716 663 609 548 476 441 376 339 309 279 247 218 199 173 149 138 138 137 135 130 121 108 92 74 53 28 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
202 131 403 863 1096 1163 1125 1039 960 913 862 751 637 672 727 764 774 760 721 666 620 569 531 501 465 434 398 365 334 303 267 228 208 160 130 119 117 115 110 108 108 101 82 58 41 24 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
13 23 35 72 186 415 645 769 771 708 602 475 531 629 701 734 737 721 687 621 573 524 494 484 474 449 405 367 336 308 272 223 190 152 133 128 128 124 115 109 109 100 77 51 37 26 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 18 43 95 230 423 531 491 372 321 447 636 702 713 704 686 659 620 574 530 488 462 451 440 414 374 340 308 277 240 194 160 142 139 142 146 147 145 138 130 107 77 50 31 20 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 6 44 136 270 366 332 368 479 628 755 787 753 714 685 669 652 612 574 516 467 433 411 390 360 327 296 269 245 217 185 161 155 163 172 176 176 187 164 135 103 70 41 19 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 2 28 103 240 426 586 735 831 855 823 769 730 705 680 658 637 601 567 512 465 432 403 369 329 309 292 272 255 241 223 208 201 197 203 206 196 188 154 113 76 47 26 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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0 0 0 1 14 88 349 760 1005 1055 976 852 744 683 670 649 622 596 571 543 514 485 468 447 412 388 364 342 324 307 303 318 271 259 216 177 148 116 85 78 52 40 35 29 20 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 17 74 224 538 866 1026 1026 925 800 709 649 614 575 533 492 458 425 408 372 358 352 334 314 284 260 254 239 219 221 174 149 118 95 80 65 44 51 36 31 30 25 18 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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830 970 1089 1139 1095 962 780 617 496 404 325 262 224 208 194 195 183 160 143 139 141 141 140 135 125 109 95 80 69 61 54 46 34 23 18 13 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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