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 9 8 8 8 8 9 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 9 11 12 11 10 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 7 5 5 7 8 8 8 9 9 9 10 10 9 8 6 5 6 6 6 6 6 6 6 7 7 7 8 8 8 8 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 8 7 6 6 6 7 8 nan
nan 8 8 8 7 7 7 8 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 6 6 6 8 10 12 11 10 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 8 6 5 4 6 8 8 8 8 9 9 9 8 8 8 7 7 6 7 8 8 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 7 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 7 7 7 7 7 8 9 9 9 9 8 7 6 6 6 7 8 nan
nan 7 7 7 7 7 7 8 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 7 8 10 11 11 10 10 10 10 10 10 10 9 9 8 9 9 8 8 9 9 9 8 7 5 5 6 8 8 8 9 9 9 7 6 7 8 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 7 7 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 8 7 7 6 6 7 7 nan
nan 6 7 8 8 8 8 9 9 10 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 9 9 9 8 7 7 7 8 10 10 10 10 10 10 11 11 11 10 9 8 8 9 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 8 6 5 6 9 11 10 8 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 6 6 6 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 8 8 7 7 7 7 7 7 nan
nan 7 8 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 8 7 7 7 8 9 10 10 10 10 10 11 11 11 10 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 7 8 9 9 9 8 7 5 6 8 10 10 8 6 6 7 8 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 7 6 7 nan
nan 9 10 12 13 13 12 11 10 10 9 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 8 7 7 6 6 8 9 9 10 10 10 10 11 11 11 10 8 8 8 9 8 8 8 8 8 8 8 8 7 6 6 6 7 8 9 9 9 8 7 7 9 10 10 9 6 5 5 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 7 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 6 6 6 nan
nan 10 11 12 13 13 13 12 12 12 11 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 9 8 8 8 7 8 8 8 8 9 10 10 11 11 11 11 10 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 10 9 9 9 10 11 11 10 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 7 7 7 6 6 6 nan
nan 10 11 12 13 13 14 15 15 14 12 9 8 7 8 8 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 9 8 7 8 9 10 10 10 10 10 11 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 9 9 10 10 10 11 12 12 11 11 10 9 8 7 6 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 nan
nan 10 11 11 12 14 15 16 16 15 12 10 8 7 7 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 10 10 10 9 8 7 7 8 9 9 9 10 10 11 11 10 8 7 8 8 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 12 12 12 11 11 10 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 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 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 nan
nan 10 11 12 13 14 15 15 14 13 12 10 8 8 8 8 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 9 7 7 7 8 9 9 9 10 10 11 10 9 8 8 8 9 9 9 9 8 8 8 7 8 8 9 9 9 9 9 8 8 9 10 11 11 11 11 10 10 9 8 7 6 7 8 8 8 8 8 8 8 8 8 8 8 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 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 nan
nan 10 11 12 13 14 14 13 12 12 11 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 9 10 10 9 9 10 10 10 9 8 8 8 9 10 10 9 9 9 8 8 8 8 8 9 9 9 8 7 8 8 9 10 10 11 11 11 10 10 9 7 7 7 8 8 9 9 9 8 8 8 8 8 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 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 nan
nan 10 11 12 13 13 12 11 10 10 10 10 11 10 10 10 10 10 10 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 11 10 9 8 8 8 9 10 10 9 9 10 10 10 9 9 9 9 9 9 9 8 9 9 10 10 9 9 9 10 9 9 8 8 8 8 8 7 7 8 8 8 9 9 9 10 10 11 10 9 8 8 8 9 9 9 9 9 8 8 8 8 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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 nan
nan 10 11 12 12 12 11 10 9 9 9 10 10 10 10 9 10 10 10 10 9 9 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 8 8 9 11 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 11 10 9 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 10 10 10 10 10 11 10 10 9 9 9 8 8 8 8 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 8 8 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 9 8 8 8 8 8 9 8 8 8 8 8 8 8 8 nan
nan 10 11 12 12 11 11 10 9 8 9 9 9 9 9 8 9 10 10 10 10 9 8 9 9 10 10 9 8 9 9 10 10 10 9 9 10 10 10 10 9 9 10 11 13 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 9 10 10 10 9 8 8 7 7 7 7 8 8 8 7 7 7 7 8 8 9 10 11 12 13 13 12 11 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 nan
nan 10 11 11 11 11 11 10 9 8 8 9 9 9 9 8 8 8 9 9 9 8 8 9 9 10 10 9 9 9 9 9 10 9 9 9 10 11 11 11 10 10 10 11 12 13 12 11 10 10 10 10 9 10 10 10 9 9 9 9 8 8 8 8 9 9 9 8 7 7 8 8 9 9 8 8 7 7 7 7 7 8 8 9 10 11 13 13 13 13 11 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 nan
nan 10 11 11 11 11 11 10 9 8 8 8 9 9 8 7 7 8 9 9 9 8 8 8 9 10 10 10 9 9 9 9 9 9 9 10 10 11 12 12 11 11 11 11 12 12 11 11 11 10 10 9 9 10 10 10 10 10 9 9 9 9 9 8 8 7 7 6 6 7 8 9 9 9 9 8 8 8 7 7 8 8 9 9 9 10 11 11 11 11 10 9 9 9 9 9 9 9 9 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 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 8 nan
nan 11 11 11 12 11 10 9 8 8 7 7 8 8 7 7 7 8 9 10 9 8 8 9 9 10 10 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 9 10 10 10 10 9 8 7 6 5 5 6 6 7 8 9 9 10 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 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 10 10 10 9 9 9 9 9 9 9 9 9 9 9 nan
nan 10 11 11 11 10 10 9 8 7 7 7 7 7 7 7 8 9 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 11 11 11 11 11 10 9 8 8 9 9 9 9 9 9 10 10 10 11 11 10 8 7 7 6 6 6 6 6 7 8 8 9 9 9 9 9 8 8 7 7 8 8 8 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 7 7 7 7 6 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 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 nan
nan 11 11 11 10 10 9 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 10 11 11 12 10 9 8 8 8 7 7 6 6 6 6 7 7 7 8 8 9 8 8 7 8 8 8 8 9 8 8 9 9 10 10 10 10 10 9 8 8 7 8 8 8 9 9 9 9 8 8 8 7 7 6 6 6 6 6 6 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 9 9 9 9 9 9 9 10 10 10 10 10 10 nan
nan 11 11 11 10 10 9 10 10 10 9 9 9 10 10 10 11 11 11 11 11 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 11 11 10 10 9 9 9 9 9 9 9 9 9 10 11 12 11 10 9 8 9 9 8 8 8 7 7 6 6 6 6 7 8 9 9 9 9 8 8 9 9 10 10 10 10 10 10 11 11 12 11 10 9 9 8 8 8 8 8 9 9 9 8 8 8 7 6 6 6 6 6 6 6 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 9 9 9 9 9 10 10 10 10 10 nan
nan 11 12 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 9 10 9 9 8 8 7 6 6 6 7 7 8 8 9 9 9 8 8 8 9 9 10 10 10 9 9 9 10 11 12 12 11 11 10 9 9 8 8 9 9 9 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 nan
nan 12 12 12 12 12 12 11 11 11 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 8 7 7 7 7 8 8 8 8 8 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 9 9 9 10 10 9 9 9 8 8 7 7 7 7 7 7 7 8 8 9 8 8 8 9 9 9 9 8 8 7 7 8 9 11 12 12 11 10 9 9 8 9 9 9 9 8 8 8 7 7 6 6 6 6 6 6 6 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 8 8 8 8 8 8 8 9 9 9 9 9 nan
nan 12 12 13 13 12 12 11 11 10 10 10 10 11 11 12 11 10 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 6 6 7 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 8 8 8 7 7 7 8 9 9 9 8 9 9 9 8 8 7 7 7 7 8 9 10 10 9 8 7 7 7 8 8 8 8 8 8 7 7 7 6 6 6 6 5 6 6 6 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 7 8 8 8 8 8 8 8 9 9 8 9 nan
nan 12 12 12 11 11 11 10 10 10 10 11 11 12 12 11 9 8 8 7 7 7 8 9 9 9 9 9 8 8 8 9 9 9 8 7 7 7 8 8 8 8 7 7 6 6 6 6 7 8 8 8 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 9 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 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 7 7 8 8 8 8 8 8 8 8 8 8 nan
nan 12 11 11 11 10 10 11 11 11 11 11 12 11 10 8 7 6 5 6 6 6 7 7 8 9 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 7 7 6 6 6 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 9 9 10 10 10 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 6 6 6 6 6 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 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 8 8 8 8 8 8 8 nan
nan 10 10 10 10 11 11 12 12 12 12 12 11 10 8 7 6 5 5 5 5 5 5 5 6 8 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 7 7 7 7 7 6 7 8 8 9 9 9 10 10 10 10 10 9 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 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 7 7 7 7 7 7 7 7 7 7 8 8 8 nan
nan 9 9 10 10 11 12 13 13 13 12 12 12 11 10 9 9 8 8 8 7 6 5 4 5 7 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 7 6 6 6 6 7 7 8 7 6 5 6 7 8 8 8 9 10 11 11 10 9 9 9 9 10 10 10 9 9 10 10 9 9 9 10 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 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 7 8 nan
nan 10 10 11 11 12 12 13 12 12 12 12 12 12 12 12 12 13 13 13 12 10 7 5 5 6 7 9 10 11 11 10 10 10 9 9 9 9 9 8 8 8 7 8 8 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 9 9 10 10 9 9 9 9 9 9 10 9 9 9 9 9 9 8 9 9 9 9 9 10 10 9 9 8 8 9 9 9 10 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 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 7 nan
nan 11 11 11 11 11 11 11 10 9 10 10 10 10 11 12 13 14 15 16 16 14 12 9 7 7 8 9 11 12 12 11 11 10 10 9 8 8 7 7 7 6 6 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 9 9 8 8 8 9 9 10 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 9 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 8 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 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 nan
nan 11 10 10 9 9 9 8 8 7 7 7 8 7 7 8 9 10 11 13 14 15 14 13 11 10 9 9 10 10 10 10 10 10 9 9 8 7 6 6 6 6 5 5 6 7 8 9 9 10 10 10 10 9 9 9 9 9 10 10 11 11 10 10 9 9 10 11 10 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 10 11 11 10 9 9 9 9 9 9 9 10 10 9 9 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 8 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 6 6 6 7 7 7 7 7 7 nan
nan 10 9 8 8 8 7 7 7 6 6 6 6 6 5 5 5 5 6 7 9 11 13 13 13 12 10 9 9 8 8 8 8 8 8 8 9 8 8 7 7 7 7 6 6 7 8 9 9 10 10 10 10 9 10 10 11 11 12 12 11 11 11 10 9 9 11 12 11 10 9 8 9 9 10 9 9 9 9 10 9 8 8 8 9 10 10 11 10 11 12 11 11 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 7 8 8 8 8 7 7 7 7 7 7 7 7 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 9 8 7 7 7 7 7 7 7 6 6 6 5 5 4 3 3 3 3 5 7 9 11 12 12 11 10 9 8 8 7 7 6 6 7 8 10 10 9 9 10 9 8 7 7 7 8 9 9 10 10 10 10 10 11 11 12 13 12 11 11 11 10 9 9 10 11 12 11 9 9 9 10 10 10 9 9 10 10 9 8 7 7 8 9 10 11 11 12 12 12 11 11 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 6 5 5 6 7 8 9 9 8 7 7 7 7 7 7 7 7 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 nan
nan 8 7 7 6 6 7 7 7 7 7 6 6 6 6 6 5 5 3 3 3 4 6 8 9 10 10 10 9 9 8 8 7 7 6 6 7 8 9 10 10 11 11 10 9 8 7 7 7 8 9 9 9 9 9 10 10 11 11 11 10 10 10 10 9 8 9 10 11 11 10 9 9 9 9 9 9 9 9 9 8 6 6 6 7 8 10 10 12 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 6 5 6 7 8 9 9 9 8 8 7 7 7 7 7 7 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 6 6 6 6 nan
nan 8 7 7 6 6 6 7 7 7 7 7 7 7 8 9 9 8 7 6 5 4 4 5 7 8 9 9 10 9 9 10 9 9 8 8 8 8 8 9 9 10 10 10 10 10 8 7 7 7 7 8 8 8 8 8 8 9 10 9 9 9 10 10 10 9 8 9 9 10 10 9 8 7 7 7 6 6 6 6 6 6 6 7 7 8 9 10 11 12 12 12 11 10 10 10 10 10 10 10 9 9 10 10 9 9 9 9 9 9 9 9 9 9 7 6 6 7 8 9 10 10 9 9 8 7 7 7 7 7 7 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 6 6 6 6 6 nan
nan 8 7 7 7 6 6 6 7 7 7 7 8 10 11 12 12 12 11 10 8 6 5 5 6 7 8 9 10 10 10 11 11 11 11 11 10 10 10 9 9 9 10 10 11 11 11 10 9 8 8 7 7 7 7 8 8 9 10 10 10 10 11 11 12 11 10 8 8 8 8 7 6 6 6 6 5 4 4 5 5 6 7 7 8 8 9 10 11 11 12 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 9 8 8 8 9 9 10 10 10 10 9 8 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 7 7 7 7 7 6 6 6 6 6 6 nan
nan 7 7 7 7 6 6 5 5 6 6 7 9 11 12 13 13 13 13 12 11 9 7 6 6 7 8 9 9 10 11 12 12 12 13 12 12 11 11 10 10 10 10 10 11 11 12 11 10 9 9 8 8 8 8 9 9 9 10 10 11 11 11 12 13 12 11 9 7 6 5 4 5 6 7 7 6 5 5 5 5 6 7 8 9 9 10 10 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 10 9 9 9 10 10 9 9 9 9 10 9 10 10 11 11 10 9 8 7 6 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 6 6 7 7 7 nan
nan 7 6 6 6 5 5 5 5 5 6 7 9 11 12 13 13 13 13 13 12 11 9 8 7 7 8 8 8 9 10 10 11 11 12 12 12 11 11 11 11 11 10 10 10 11 11 11 11 10 9 9 8 9 9 9 9 9 9 9 10 11 11 13 13 13 12 10 8 6 4 3 4 6 9 9 9 8 8 7 6 7 8 9 11 11 12 11 11 11 11 11 10 9 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 9 10 9 9 9 9 9 10 9 9 9 10 11 12 11 10 8 7 6 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 7 7 7 7 7 7 7 nan
nan 5 5 4 4 4 4 4 4 5 7 8 10 11 12 13 12 12 12 12 12 12 11 10 9 9 9 9 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 8 8 8 9 9 9 8 8 9 9 10 11 12 13 13 12 11 10 8 7 6 6 8 10 10 10 10 9 9 8 8 9 11 12 12 12 11 11 10 10 10 10 9 9 9 10 11 11 11 12 11 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 12 12 12 10 8 7 7 6 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 7 7 7 7 7 7 7 nan
nan 5 4 3 3 4 4 5 6 7 8 10 11 12 12 12 11 11 11 11 11 12 12 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 11 12 12 12 12 11 11 11 11 12 12 12 12 13 12 12 11 11 10 10 10 11 11 11 10 9 8 8 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 12 13 13 12 10 8 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 7 7 7 7 7 7 nan
nan 7 6 5 5 6 6 6 7 9 10 11 11 12 12 11 10 9 9 9 10 10 11 11 11 11 10 10 10 10 10 9 9 8 8 8 7 7 7 6 6 5 5 6 6 7 7 8 8 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 11 13 15 18 17 17 16 16 15 14 13 11 10 9 9 9 8 8 7 6 7 8 10 10 10 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 12 13 14 14 13 11 9 8 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 nan
nan 9 9 8 8 9 9 9 9 10 11 11 11 12 13 12 10 8 7 6 7 8 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 7 6 5 5 5 6 6 7 7 8 9 9 10 10 10 10 10 10 10 10 11 12 12 12 12 11 11 10 10 10 10 10 12 15 18 18 18 18 17 16 14 12 10 8 7 7 7 8 7 7 7 8 9 10 10 9 8 8 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 12 12 13 14 14 13 12 10 9 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 8 8 8 8 8 nan
nan 11 11 11 11 11 11 10 10 11 11 11 12 13 13 12 11 8 6 5 5 6 7 8 8 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 7 6 6 6 6 7 7 8 9 9 10 10 10 10 10 9 9 10 11 12 14 14 14 13 12 12 12 11 11 10 10 12 13 15 16 16 15 13 11 9 8 7 7 7 8 8 9 9 9 10 10 11 10 9 8 7 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 11 11 12 12 13 14 14 12 11 9 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 8 8 8 8 nan
nan 12 11 11 11 11 11 11 11 11 11 11 12 13 13 13 11 9 7 5 4 4 5 7 7 8 8 8 9 9 9 10 10 9 9 9 9 9 10 10 11 10 8 7 7 7 7 8 8 9 9 9 9 9 9 9 10 11 12 13 15 16 16 15 14 13 13 13 12 11 10 10 11 11 12 12 11 10 8 7 7 7 8 8 9 9 10 10 11 11 11 12 11 10 9 8 8 9 9 9 9 10 10 11 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 12 13 13 13 13 11 9 8 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 9 9 9 9 nan
nan 12 11 10 10 10 10 10 10 11 11 11 12 13 13 13 11 10 8 7 5 4 4 6 7 8 8 9 9 9 9 9 9 9 9 9 9 10 11 13 13 13 11 10 9 8 8 9 9 9 9 9 9 9 9 10 11 12 13 14 15 15 16 15 14 14 13 13 12 10 9 9 10 10 10 10 9 8 8 8 8 8 8 9 10 10 10 11 12 12 12 12 12 11 10 9 9 9 9 9 9 10 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 11 11 11 11 12 13 13 13 11 10 9 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 nan
nan 11 10 9 8 8 8 9 9 10 10 11 12 13 13 12 11 10 9 8 6 5 5 6 7 8 8 9 9 9 9 10 10 10 10 10 10 11 12 13 13 14 13 12 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 13 13 14 14 13 13 13 12 10 8 7 7 8 9 9 9 9 9 8 9 9 9 9 9 9 9 10 11 11 12 12 12 12 11 11 11 10 10 9 9 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 10 11 11 11 12 12 13 12 12 11 10 9 8 8 7 7 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 nan
nan 11 10 8 6 5 5 6 7 8 9 10 12 13 13 12 11 10 10 9 7 6 6 7 7 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 12 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 10 7 5 4 4 6 7 8 10 10 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 12 13 12 11 10 9 9 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 9 8 8 7 7 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 nan
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nan 12 12 12 12 12 13 12 12 12 11 11 11 12 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 12 12 12 11 12 12 12 12 11 11 11 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 11 12 12 13 13 12 12 12 12 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 12 12 12 13 14 15 15 14 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 11 11 11 11 11 12 15 19 22 24 23 21 19 17 15 11 9 7 5 3 1 -1 -2 -3 -4 -3 -2 -1 1 4 4 4 4 5 nan
nan 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 13 12 12 12 12 12 11 11 11 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 12 12 13 13 13 12 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 13 15 18 20 21 22 22 22 20 18 16 15 14 11 9 6 3 -1 -3 -5 -5 -5 -4 -5 -5 -6 -5 nan
nan 13 13 13 13 14 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 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 12 12 12 12 12 12 12 12 11 11 11 10 10 11 11 11 11 10 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 10 9 9 10 10 10 10 11 11 11 11 11 10 9 9 10 12 14 16 18 20 22 22 22 22 22 23 23 22 18 13 9 5 0 -3 -5 -6 -8 -10 -12 -12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
14 19 20 21 24 27 27 18 15 13 13 14 14 9 7 6 6 7 6 6 5 5 4 4 2 2 4 4 5 6 7 7 8 6 5 6 6 8 8 10 14 17 15 12 6 2 2 2 1 1 2 2 2 3 3 3 4 4 4 4 3 2 2 2 3 4 5 4 3 2 1 1 1 1 1 1 3 9 14 15 13 12 12 13 12 9 6 5 4 5 6 5 4 4 5 4 4 5 5 5 5 5 5 6 6 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 9 10 12 12 13 14 15 19 23 25 27 31 38 45 48 53 61 66 71 74 81 94 94 94 98 107 113 125 129 130 132 125 116 112
22 23 21 22 24 28 31 26 20 15 14 16 16 11 8 6 5 6 5 4 5 6 6 4 4 3 3 4 6 8 8 8 7 6 5 5 6 7 7 7 10 13 14 12 7 3 2 2 2 1 1 1 2 3 3 3 4 5 5 4 4 4 3 2 3 4 5 6 6 3 0 1 1 1 1 2 5 11 16 19 17 14 11 10 9 7 7 5 4 4 4 4 4 5 5 5 6 5 5 5 5 4 3 4 4 4 4 4 4 5 6 6 6 6 5 5 6 6 6 7 7 7 7 7 7 7 6 6 7 7 8 8 9 10 12 15 19 25 29 33 39 45 50 55 59 66 73 74 84 96 100 96 96 104 109 113 119 128 125 111 104 105
24 24 24 23 21 24 27 28 26 21 19 22 19 13 7 4 3 3 3 4 5 5 5 5 5 3 3 4 6 8 6 6 7 6 5 5 6 6 6 7 7 9 9 8 6 3 2 2 2 2 2 2 2 3 4 4 5 6 6 5 4 3 3 3 3 3 4 5 6 3 1 0 0 1 0 2 6 11 16 20 19 18 16 13 9 9 9 7 5 4 5 5 6 6 7 7 8 7 6 6 5 4 3 4 5 5 5 6 5 5 5 4 4 4 5 5 6 7 7 8 8 7 6 6 6 6 6 6 6 6 6 7 8 9 10 12 15 21 26 31 37 42 49 52 58 67 74 74 83 96 100 89 91 94 96 98 107 129 124 112 103 100
25 25 24 22 20 21 25 29 31 30 30 31 26 17 8 3 2 2 3 3 3 3 4 4 3 3 3 4 4 3 4 5 6 7 6 6 7 7 8 8 7 8 8 8 6 2 2 1 2 2 2 2 3 3 4 5 6 7 6 5 5 4 2 2 2 2 4 5 7 5 2 0 0 0 0 2 4 8 11 13 14 16 18 17 11 9 8 6 6 5 6 6 7 7 8 10 10 9 9 9 8 7 6 7 7 7 6 6 5 5 5 4 4 5 5 5 6 7 8 8 9 9 7 7 7 8 8 7 7 7 6 7 8 8 9 10 12 16 21 27 33 39 45 51 56 63 69 73 79 87 91 82 86 89 88 85 94 111 115 108 95 91
29 26 22 19 18 20 23 29 35 40 42 41 35 23 10 2 2 3 4 3 3 3 5 4 2 1 1 1 2 3 3 3 5 6 6 7 8 9 11 10 9 9 10 10 7 4 2 1 1 2 2 3 2 3 4 5 7 8 7 6 5 4 2 1 2 3 4 6 6 4 2 0 0 0 0 1 2 3 4 5 7 9 13 16 14 12 10 8 7 6 7 6 7 8 9 11 12 12 11 10 8 7 7 7 7 7 6 6 6 6 5 5 6 6 6 6 6 7 8 8 8 8 9 8 8 8 7 7 7 7 7 7 8 7 8 9 11 13 17 21 27 32 38 45 51 55 60 65 67 67 75 78 81 83 85 82 92 106 111 96 84 77
29 23 19 18 18 19 22 29 39 47 50 48 42 29 13 5 4 5 5 4 3 3 3 2 1 1 1 1 2 2 2 2 4 4 5 5 7 9 13 12 10 10 11 12 11 6 2 1 1 1 1 2 3 4 4 5 6 7 7 5 4 3 2 2 3 4 6 7 10 6 1 0 0 0 0 0 0 0 0 1 2 3 6 10 12 12 11 10 8 8 8 7 7 8 9 11 14 15 13 11 9 8 6 6 6 6 6 6 6 6 7 7 7 8 8 7 7 8 7 8 8 8 9 8 8 7 7 6 5 6 7 8 8 8 8 9 10 12 12 15 20 26 31 37 44 48 53 58 61 62 67 71 73 72 77 82 87 93 97 76 69 64
24 21 19 19 21 24 28 34 42 47 49 47 44 36 24 16 12 8 5 2 1 1 1 1 1 1 1 2 1 1 2 2 3 3 3 3 3 5 10 12 11 10 10 12 12 7 3 1 1 1 2 3 3 4 5 6 6 6 5 4 3 2 2 2 3 4 5 5 3 2 0 0 0 0 0 0 0 0 0 0 0 1 2 4 9 11 11 10 10 10 9 9 9 10 12 14 16 16 13 10 9 7 7 6 6 6 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 7 8 8 7 7 7 6 5 5 6 7 8 8 8 8 9 11 10 11 14 18 23 29 34 40 47 53 54 55 57 60 67 67 71 73 72 69 69 65 62 58
24 23 23 23 27 31 35 39 44 46 43 41 41 38 32 25 17 11 6 2 0 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 4 7 10 11 11 10 14 13 8 4 2 1 1 2 2 3 5 5 7 6 5 4 2 1 2 2 3 3 3 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 11 11 10 10 10 10 10 12 13 14 15 15 12 10 8 8 7 6 6 6 6 6 7 7 8 8 9 9 9 10 10 9 9 9 7 6 6 7 7 7 7 6 6 5 6 7 8 8 8 8 8 10 10 10 10 11 15 19 24 29 35 41 44 46 47 45 50 54 58 60 58 56 56 57 57 55
19 18 20 22 26 30 34 38 44 43 40 39 38 33 26 21 16 11 7 3 1 1 1 1 1 1 1 2 2 1 2 1 2 2 2 2 3 3 6 9 12 13 11 14 14 9 3 2 1 2 2 3 3 5 6 6 6 5 3 1 1 2 2 3 4 4 3 3 2 1 2 1 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 9 9 10 10 11 11 13 14 15 15 14 12 10 9 8 7 7 6 6 5 6 7 7 7 8 8 8 10 9 9 9 8 9 7 6 6 7 7 7 8 7 6 5 6 6 7 7 7 8 8 9 9 9 9 9 9 11 13 20 24 29 32 35 37 35 35 38 43 48 46 45 45 47 49 49
19 18 15 17 20 22 25 29 36 34 32 29 25 19 15 14 13 10 5 2 1 0 1 1 1 1 2 2 3 2 2 2 3 3 3 3 4 5 7 9 12 15 14 16 17 13 2 2 2 3 3 3 3 5 5 5 4 2 1 2 2 2 2 2 3 4 4 4 3 2 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 3 6 8 9 10 11 12 13 14 15 15 14 12 10 8 8 7 7 7 7 7 6 6 7 7 7 7 8 7 7 8 9 9 9 9 8 8 7 7 8 8 9 8 7 6 6 6 5 6 7 7 7 7 7 7 7 7 7 7 9 13 15 18 22 25 27 29 30 31 32 36 39 40 39 40 41 42
17 17 14 16 17 17 17 20 22 19 14 9 6 7 7 7 5 2 1 1 0 0 0 1 1 2 2 2 2 3 3 3 4 4 5 5 6 6 7 8 10 14 15 16 18 19 6 3 2 2 3 4 4 5 5 4 3 0 1 1 2 2 2 2 2 2 2 3 3 3 3 3 3 2 0 0 0 0 0 0 0 0 0 0 0 1 3 6 8 11 12 13 14 15 15 14 13 10 8 7 7 8 8 9 8 8 7 6 6 6 7 8 8 8 8 9 9 10 10 10 10 9 8 8 8 9 10 9 8 7 7 7 7 6 7 7 7 6 5 6 6 7 7 7 8 8 8 9 15 19 21 23 25 26 26 28 30 30 34 35 36 38
15 17 18 18 15 13 13 12 9 6 4 2 2 4 4 3 2 1 0 0 0 1 1 1 2 3 3 3 4 4 3 4 4 4 6 6 7 7 7 7 9 12 15 15 15 18 10 4 1 2 3 4 4 5 5 5 3 1 1 1 2 2 2 2 2 1 2 3 4 4 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 11 11 12 12 13 13 12 10 8 7 7 7 8 9 9 9 8 7 7 7 7 8 8 9 9 9 10 9 10 11 11 11 10 9 8 8 9 11 9 8 7 7 7 6 7 7 8 7 6 6 6 6 5 7 7 7 7 7 7 9 13 15 15 17 19 21 23 26 27 28 31 32 33
17 19 21 19 14 9 9 7 5 3 2 1 1 2 2 2 1 0 1 1 1 1 1 2 3 3 3 2 3 3 3 3 3 4 5 6 7 7 6 6 8 12 16 17 15 15 10 4 1 1 2 3 4 4 5 5 3 2 1 1 2 3 2 2 2 2 3 3 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 9 11 12 11 11 10 9 8 7 7 8 8 8 9 8 8 7 7 7 7 8 8 9 9 10 11 12 12 12 11 10 12 11 10 9 8 8 9 8 7 7 7 7 7 7 7 7 7 7 7 7 6 5 6 6 6 5 5 6 6 8 10 10 11 13 16 20 21 22 24 26 28 29
16 17 17 16 13 9 7 5 4 3 2 2 2 3 3 2 1 0 1 1 1 1 2 1 2 2 3 3 2 2 2 2 2 2 3 4 5 5 5 6 9 14 18 19 16 12 6 3 1 1 2 3 4 5 5 4 2 2 1 1 2 2 2 2 3 3 2 2 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 8 10 11 11 10 8 7 6 6 7 8 8 8 8 8 7 7 7 7 7 7 8 8 9 11 12 13 13 13 12 11 10 10 9 9 8 7 7 6 6 6 7 7 7 8 7 7 6 6 7 6 6 5 5 4 4 5 6 6 5 6 8 8 9 12 13 14 14 17 21 23 26
14 14 15 15 13 10 8 5 4 2 1 1 2 2 2 1 1 0 0 0 0 0 2 1 2 2 3 2 2 2 2 2 1 1 2 3 4 5 6 10 12 14 17 17 13 9 4 2 1 1 2 3 4 5 5 4 3 3 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 1 2 5 7 9 10 9 7 6 5 6 8 9 9 9 9 9 9 9 8 7 8 9 9 9 8 10 11 12 15 16 14 13 12 11 10 9 8 8 7 7 7 7 7 6 6 7 7 6 6 7 6 6 6 5 5 5 5 6 6 5 4 4 5 5 6 7 8 10 11 12 16 18 20
12 13 14 13 12 10 8 6 4 3 2 1 0 0 1 1 0 0 0 0 0 0 1 1 1 1 2 1 1 1 1 1 1 1 2 2 4 6 9 12 12 13 12 11 7 5 4 2 1 1 2 3 4 5 5 4 3 3 2 3 3 2 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 1 2 3 6 7 8 8 7 6 7 8 9 10 10 10 10 10 9 9 9 10 11 12 12 12 12 11 11 12 13 14 15 15 14 13 12 11 10 10 9 9 8 8 8 8 7 6 6 5 5 6 6 5 5 5 4 5 5 6 6 5 5 4 4 4 5 5 6 6 8 8 9 10 12
10 11 11 10 10 9 7 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 2 2 3 4 6 8 9 10 9 9 8 4 2 3 3 2 2 2 3 4 5 5 4 3 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 0 0 0 0 0 2 4 5 6 8 6 7 8 8 9 9 10 10 10 10 10 10 11 12 14 15 15 14 14 14 15 14 13 13 13 13 12 13 13 13 12 11 9 8 8 8 8 9 8 8 7 6 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 4 4 4 4 5 5 6 6 7
6 7 7 7 7 5 3 2 1 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 2 2 2 3 5 6 7 7 7 6 4 3 3 4 4 3 3 3 3 4 3 3 2 2 2 2 2 2 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 0 0 1 1 1 2 4 4 5 7 9 9 9 9 10 10 10 10 11 12 13 13 14 15 15 16 16 17 16 15 14 14 12 11 11 12 13 13 12 11 10 9 9 8 8 8 9 9 8 7 6 5 6 5 5 4 4 4 5 5 4 4 4 4 4 3 3 3 3 3 4 5 4 4
3 4 5 5 4 2 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 3 3 3 3 3 3 2 2 3 5 5 5 4 3 3 3 2 2 2 2 2 2 3 2 2 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 1 1 3 6 9 8 8 8 9 10 10 10 10 11 11 12 12 13 13 15 16 16 16 16 15 15 14 13 11 9 9 10 10 10 10 10 10 10 9 8 8 9 9 9 10 7 6 5 5 6 5 4 4 4 4 3 3 4 3 3 3 3 2 2 3 4 3 4
4 5 5 4 2 1 0 0 1 1 1 2 3 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 3 3 3 3 2 2 2 1 2 3 4 5 5 3 2 2 2 2 2 2 2 3 3 3 3 3 4 4 3 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 1 5 7 8 9 9 10 10 10 10 10 12 12 12 11 10 11 12 13 14 15 16 15 14 14 12 10 8 8 8 8 9 9 9 10 11 11 10 10 9 9 11 9 8 6 6 7 6 5 4 4 4 3 2 2 3 2 2 3 3 2 3 3 3 3
5 5 4 3 2 0 0 1 1 1 2 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 4 3 3 3 2 2 3 5 5 5 2 2 2 2 2 2 2 2 2 3 3 3 4 4 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 3 6 8 9 10 11 12 12 11 12 13 13 14 13 11 11 11 11 12 15 15 14 14 15 14 11 9 8 8 8 8 8 8 9 10 10 11 12 12 10 9 9 8 9 7 7 6 5 5 4 4 3 2 2 2 2 2 1 1 2 2 2 3 3
3 3 3 2 2 1 0 2 1 1 2 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 1 3 4 6 5 5 5 4 3 4 4 5 5 4 2 2 2 2 2 2 2 2 1 2 3 3 4 4 5 5 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 1 2 5 8 9 10 11 12 12 12 13 14 14 14 15 14 13 12 11 11 13 14 14 15 16 15 13 11 9 10 10 9 9 9 9 9 9 9 11 13 13 11 9 7 8 8 8 7 5 6 5 4 3 3 3 3 2 2 2 2 2 2 2 2 2
3 3 2 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 0 0 0 0 0 0 1 2 3 5 6 7 8 9 8 5 4 3 3 3 2 2 2 1 1 2 2 2 2 1 2 3 4 4 5 6 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 7 9 9 9 8 9 11 13 14 13 14 15 14 13 11 10 10 11 12 13 15 15 14 12 11 10 11 11 11 11 12 12 12 11 10 9 10 11 13 14 11 9 7 8 9 7 7 6 5 5 4 3 3 3 3 2 2 2 2 2 2 1
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 1 2 3 5 7 8 8 8 6 5 4 3 3 3 3 3 3 2 2 1 2 2 2 2 3 4 4 4 5 6 6 6 4 3 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 3 4 5 5 5 5 6 8 10 12 12 13 12 11 10 10 11 11 13 14 14 14 14 13 11 12 11 11 12 12 13 12 13 13 13 11 11 9 8 9 13 13 11 9 8 8 8 8 8 6 6 5 4 4 4 4 3 3 3 2 3 3 2
4 4 2 1 0 0 0 0 0 1 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 6 7 6 7 8 7 5 3 4 4 5 5 4 3 2 2 2 2 2 2 3 3 3 4 4 4 5 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 1 1 1 1 1 2 2 3 4 7 9 11 10 10 10 10 11 11 10 11 11 12 12 11 11 11 11 12 12 12 13 13 13 13 13 12 11 9 7 7 9 12 12 11 10 9 8 8 8 8 8 6 5 5 5 5 4 4 4 3 4 3 3
4 1 0 0 0 1 1 1 1 1 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 1 2 3 4 5 6 7 9 10 8 5 4 5 7 11 12 9 6 4 3 2 3 3 2 2 2 3 3 3 3 4 4 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 5 6 6 6 6 6 5 6 8 10 10 10 11 12 12 12 12 12 13 14 15 15 14 13 12 10 8 7 7 9 12 12 12 11 9 7 7 7 8 7 5 5 5 5 5 4 4 4 4 3 3
2 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 1 0 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 2 3 5 6 8 9 9 7 5 5 7 10 12 11 12 10 7 6 4 4 4 3 3 3 3 3 3 3 4 4 5 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 3 4 6 8 9 10 9 9 10 10 12 13 12 13 13 13 13 12 11 10 7 6 7 9 9 11 12 10 9 7 7 7 8 7 6 5 5 6 6 6 5 4 4 3
2 2 2 2 1 2 2 2 1 2 1 1 2 3 3 4 6 7 6 6 6 7 7 6 3 3 2 1 1 1 0 0 0 0 0 0 0 1 2 4 6 8 8 7 5 4 7 8 10 12 14 14 11 9 8 6 5 5 5 5 5 4 4 4 4 4 4 4 4 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 2 4 7 7 8 8 7 8 8 10 11 12 12 12 12 12 12 12 11 9 7 7 8 9 10 10 10 9 8 8 7 7 8 7 6 5 6 6 6 6 6 4 4
2 2 2 2 2 3 3 3 4 4 3 4 6 9 12 12 15 18 19 20 20 20 20 18 12 8 4 2 1 2 1 0 0 0 0 0 0 0 0 1 3 6 7 6 5 5 7 8 8 8 9 10 9 7 6 5 5 5 5 4 3 4 6 6 6 6 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 7 7 7 8 9 9 8 9 11 11 11 11 11 11 12 11 9 7 7 8 9 9 9 9 9 9 8 6 6 6 7 6 4 4 5 5 5 6 6 5
2 2 2 3 3 3 3 3 3 2 3 4 4 5 6 10 14 17 19 22 25 28 30 28 22 15 8 4 2 1 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 4 5 6 7 7 6 6 6 5 4 3 3 3 4 4 6 8 9 10 8 7 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 7 6 7 7 8 7 7 9 10 10 10 10 10 11 11 11 9 7 7 8 8 9 9 8 8 7 6 6 6 6 6 5 4 4 4 4 5 6 7 6
3 1 1 1 1 1 1 1 1 1 1 1 1 0 0 2 4 6 8 10 14 20 25 25 22 19 15 10 5 3 1 0 0 0 0 0 0 0 0 0 0 1 3 5 5 4 4 5 6 5 4 4 3 2 2 1 1 3 4 5 7 8 8 9 8 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 7 6 6 7 7 7 7 8 9 9 9 9 10 10 11 9 8 8 8 8 7 7 7 6 6 5 4 5 5 6 5 4 3 3 4 4 4 4 5 5
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