Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 7 7 8 8 9 9 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 10 9 9 9 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 8 8 8 8 7 7 7 7 7 8 7 7 7 8 8 7 8 8 8 8 8 8 9 9 10 10 10 10 9 9 8 8 8 7 7 7 7 8 8 8 9 9 10 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 nan
nan 9 8 8 8 8 8 8 9 10 10 11 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 10 10 11 12 12 12 11 11 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 9 10 10 10 11 10 10 9 8 8 8 7 7 7 7 8 8 8 9 9 9 10 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 nan
nan 10 9 9 9 8 9 9 9 10 10 11 12 12 13 13 12 11 10 9 9 9 9 9 9 10 10 10 9 8 9 9 11 12 13 13 12 11 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 7 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 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 nan
nan 10 10 10 10 9 9 9 10 10 10 11 12 12 13 13 13 12 10 9 9 9 9 9 9 9 10 9 8 8 8 9 10 12 13 13 12 11 9 8 7 8 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 9 9 9 9 10 10 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 9 9 9 9 8 9 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 nan
nan 11 11 11 10 10 10 10 10 10 11 11 12 12 12 13 13 12 11 10 9 9 9 9 9 9 9 9 8 7 8 8 10 12 13 13 13 12 9 8 8 9 10 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 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 nan
nan 11 11 11 11 11 10 10 10 11 11 11 11 11 11 12 12 12 11 10 9 9 8 8 9 9 9 8 7 7 8 8 9 11 13 13 13 12 9 8 9 10 11 11 11 10 10 10 9 8 8 8 9 9 9 8 8 7 7 7 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 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 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 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 10 10 9 8 8 9 9 9 8 8 7 7 8 9 10 12 12 12 10 9 9 9 10 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 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 nan
nan 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 9 9 9 9 8 8 7 8 8 10 11 10 10 8 8 9 10 11 11 11 10 9 8 8 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 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 nan
nan 10 10 11 11 12 12 12 12 11 11 11 12 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 8 8 9 10 9 8 7 7 8 9 10 11 10 9 8 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 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 nan
nan 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 8 9 9 9 9 8 7 7 8 9 10 10 10 9 7 7 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 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 nan
nan 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 11 10 9 9 9 9 10 9 9 9 9 9 9 8 8 8 8 8 9 10 10 10 8 7 6 6 6 7 7 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 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 nan
nan 11 11 11 11 11 12 12 12 12 13 13 13 12 12 12 11 11 11 11 12 12 12 11 10 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 9 10 10 10 9 7 7 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 8 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 11 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 nan
nan 11 11 11 11 11 12 12 12 12 12 13 13 13 12 12 12 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 10 11 11 10 9 8 7 7 7 7 7 7 8 8 8 9 9 8 8 8 9 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 9 9 8 8 8 8 9 9 9 10 10 10 10 11 11 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 nan
nan 11 11 12 12 12 12 12 12 12 12 12 12 13 12 12 12 11 11 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 11 11 11 11 11 11 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 nan
nan 11 11 11 12 12 12 12 11 11 11 11 12 12 12 12 12 11 11 12 12 13 13 13 12 11 11 10 10 10 9 10 10 10 9 9 9 9 10 10 10 10 9 8 8 8 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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 12 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 nan
nan 11 11 11 11 11 11 11 11 10 9 10 11 11 12 12 12 12 12 12 12 13 13 13 13 12 11 10 10 9 9 10 10 10 9 9 9 10 10 10 9 9 8 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 12 12 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 nan
nan 10 11 11 11 11 11 11 10 9 9 9 10 11 12 13 13 13 12 12 13 13 14 14 14 13 12 11 10 9 9 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 8 8 9 10 10 10 9 9 9 9 9 9 9 9 8 9 9 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 12 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 nan
nan 10 10 10 10 10 10 10 10 9 9 10 10 12 13 13 14 13 13 13 13 13 14 14 13 13 12 11 10 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 10 11 11 11 9 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 10 10 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 12 12 13 13 12 11 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 nan
nan 9 9 9 10 10 10 10 10 10 10 10 11 12 13 14 14 13 13 13 13 13 13 13 13 12 12 12 11 10 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 9 10 10 10 11 11 11 10 8 7 8 8 9 9 9 9 8 8 9 9 9 9 9 10 10 11 10 9 7 6 6 7 7 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 10 10 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 nan
nan 9 9 9 9 9 9 10 10 10 11 11 12 12 13 14 14 14 14 13 13 13 13 12 12 12 12 12 11 10 10 9 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 8 7 7 8 8 9 8 8 8 8 8 9 9 10 10 10 11 11 11 9 6 5 4 5 6 7 9 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 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 nan
nan 9 9 8 8 9 9 10 10 10 11 11 12 13 13 13 14 14 14 14 13 13 12 12 12 12 12 13 12 11 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 9 9 9 8 7 7 8 8 8 8 8 8 8 8 9 10 10 11 12 12 11 9 7 5 4 4 4 5 7 8 10 10 11 10 10 10 10 10 10 10 10 11 10 10 10 9 9 9 10 10 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 nan
nan 9 9 9 8 8 9 9 10 10 10 11 12 12 13 13 14 14 14 14 14 13 12 12 12 12 13 13 13 12 11 11 10 10 10 9 9 9 8 8 9 9 9 9 9 8 9 9 9 8 8 8 9 9 8 8 8 9 9 9 8 8 7 7 8 9 10 12 14 14 13 11 9 8 7 5 4 3 3 4 6 7 9 10 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 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 nan
nan 9 9 9 9 9 9 9 10 10 10 10 11 12 12 13 13 13 14 14 14 13 13 12 12 12 12 13 13 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 8 9 12 15 16 14 12 10 8 7 6 5 4 3 3 3 5 7 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 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 nan
nan 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 13 13 14 14 14 13 13 12 12 11 12 12 12 12 12 11 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 9 13 16 16 15 12 10 8 7 7 6 5 4 2 2 4 7 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 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 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 13 14 14 14 14 13 12 11 11 11 11 12 12 12 11 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 10 9 9 9 8 8 8 8 8 9 9 9 8 8 8 7 7 7 9 13 15 16 15 12 10 8 7 7 7 7 5 3 3 4 8 10 11 11 10 9 9 9 9 10 10 10 11 11 11 10 10 9 9 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 nan
nan 9 9 9 9 10 10 10 9 9 9 10 10 11 11 12 12 12 12 13 13 14 14 14 13 12 11 11 12 12 13 12 11 11 10 10 9 9 9 9 9 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 10 13 15 15 14 11 9 8 8 8 8 7 5 3 2 3 7 11 12 12 11 10 10 10 10 11 11 11 11 10 10 10 9 9 8 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 nan
nan 9 9 9 9 10 10 10 9 9 9 10 10 10 11 12 12 12 12 12 13 14 14 14 14 13 12 12 12 13 13 13 12 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 12 14 15 14 12 10 9 9 8 8 8 7 6 4 1 1 4 9 12 13 12 11 11 10 11 11 12 12 11 10 10 9 9 9 8 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 nan
nan 8 8 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 13 14 14 14 14 13 13 12 12 13 13 12 11 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 8 9 11 13 16 16 15 12 10 9 9 8 8 8 7 6 4 1 -1 1 6 10 13 12 12 12 12 12 12 12 11 11 10 9 9 9 8 8 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 nan
nan 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 12 12 13 13 14 14 14 14 13 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 11 14 17 17 15 13 11 9 9 8 8 8 7 7 6 3 0 1 5 9 11 12 12 13 13 13 12 12 11 10 9 8 8 8 8 7 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 nan
nan 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 13 13 13 14 14 14 14 13 13 13 13 13 13 12 12 12 12 11 11 11 10 10 10 10 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 12 15 17 17 15 13 11 10 9 8 8 7 7 7 7 4 2 2 4 8 10 11 12 13 13 12 11 11 10 9 9 8 7 7 7 6 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 nan
nan 8 7 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 11 12 12 12 13 13 13 14 14 15 14 14 14 13 13 13 13 13 13 12 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 13 16 17 17 15 12 10 10 9 8 7 7 7 8 7 5 2 2 4 7 9 10 11 12 12 11 10 10 9 9 9 9 8 8 7 6 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 nan
nan 7 7 7 7 8 8 9 9 9 10 10 10 10 9 9 9 10 11 11 12 12 12 13 13 14 15 15 15 15 14 13 13 13 13 13 13 13 12 12 12 12 11 11 11 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 9 12 16 17 17 15 12 10 9 9 8 7 7 8 8 6 4 3 3 5 8 9 10 11 11 12 12 11 10 10 9 9 9 9 9 9 8 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 nan
nan 7 7 8 8 8 8 9 9 9 10 10 10 10 9 9 9 10 10 11 12 12 12 13 13 14 14 15 15 15 14 14 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 8 8 9 11 14 16 17 15 12 11 10 9 8 8 8 8 8 6 4 4 7 10 11 11 11 11 11 12 12 12 12 11 9 9 9 10 11 11 10 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 nan
nan 7 8 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 11 12 12 13 13 13 14 14 15 15 14 14 13 13 13 13 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 10 12 15 17 16 14 12 11 10 9 9 8 8 7 6 4 4 7 11 13 14 13 12 11 12 12 12 12 12 11 10 9 9 10 11 12 12 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 nan
nan 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 11 11 12 12 12 13 13 14 14 14 14 14 14 13 13 13 13 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 14 17 19 17 14 12 11 10 9 9 9 8 7 3 0 2 7 12 14 13 12 12 13 13 12 12 11 11 10 10 9 9 10 11 12 12 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 nan
nan 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 11 11 11 12 12 12 13 14 14 14 14 14 14 14 13 13 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 8 8 8 8 10 13 18 20 19 15 12 11 10 9 9 9 8 6 2 -2 1 6 10 11 11 10 12 13 14 13 11 10 10 10 9 9 9 10 11 12 12 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 nan
nan 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 12 12 13 14 14 14 14 14 14 14 13 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 9 9 8 8 9 12 17 20 20 17 13 11 10 10 9 9 8 5 1 -2 1 5 8 9 9 9 11 13 13 12 11 10 9 9 8 8 9 10 11 11 11 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 nan
nan 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 11 11 11 12 13 13 14 14 14 14 14 14 13 13 12 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 8 8 11 15 20 21 19 14 11 10 10 10 9 8 4 -1 -3 -1 2 6 8 9 9 10 11 11 11 11 10 10 9 8 8 8 9 10 10 10 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 nan
nan 7 7 7 8 8 9 10 10 10 10 10 10 10 11 10 10 10 10 10 10 9 10 10 10 11 11 12 12 13 14 14 14 14 14 14 14 13 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 10 10 9 9 8 8 10 14 19 22 20 16 12 10 10 10 9 9 5 -1 -4 -4 -1 4 8 10 10 10 9 9 9 9 9 9 10 9 9 8 8 9 10 11 12 12 10 8 5 2 2 4 5 7 9 11 12 12 11 11 11 10 9 7 6 6 7 8 8 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 11 11 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 13 13 12 12 11 9 6 4 3 3 5 6 8 9 10 9 9 9 9 9 9 8 8 9 nan
nan 7 7 8 8 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 10 10 11 11 12 12 13 13 14 14 14 14 14 14 13 13 13 12 12 12 12 12 11 11 11 12 12 13 12 12 11 11 12 12 11 11 10 10 10 9 8 8 9 12 17 21 21 17 14 11 10 10 10 10 7 1 -3 -5 -2 4 8 10 11 11 10 8 7 6 6 8 9 10 9 8 8 9 11 12 14 14 13 12 8 3 1 1 2 4 6 8 10 11 11 11 10 10 9 7 6 6 7 8 8 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 9 9 10 10 11 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 13 15 14 13 12 11 8 6 5 5 5 5 6 8 9 9 9 9 8 8 8 9 9 9 9 nan
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nan 14 14 13 13 12 12 12 12 12 12 12 13 13 14 13 13 12 11 11 11 12 12 13 13 13 12 12 12 12 12 12 12 12 11 12 12 12 13 13 13 13 13 12 12 12 12 12 12 13 13 13 13 13 14 14 14 14 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 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 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 9 9 10 11 12 12 12 12 12 12 12 12 12 12 11 11 12 12 13 13 12 12 13 13 14 14 14 13 12 11 11 11 10 11 11 12 12 12 12 12 11 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 nan
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nan 15 15 14 13 13 12 12 11 11 12 13 13 14 13 13 12 11 10 11 12 13 13 13 13 12 11 11 11 12 12 12 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 14 13 13 13 13 13 13 13 14 14 13 13 12 12 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 11 11 11 11 11 11 12 12 12 12 12 13 13 14 14 14 13 13 12 11 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 14 13 13 11 11 11 11 11 12 12 12 12 11 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 13 13 14 15 14 14 12 11 11 11 12 nan
nan 16 15 14 13 12 12 12 12 12 12 13 13 13 13 13 13 14 15 17 17 16 15 14 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 15 15 14 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 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 12 12 12 12 12 12 12 12 13 13 13 13 13 13 12 12 12 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 13 14 14 14 13 12 12 12 12 12 12 12 13 13 14 14 13 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 13 13 14 15 15 15 14 12 12 12 12 nan
nan 15 14 13 13 12 12 12 12 12 13 14 14 14 13 13 13 14 16 16 17 16 15 14 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 14 14 14 13 13 13 12 12 12 12 13 13 13 13 12 12 12 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 10 11 11 11 11 11 11 12 12 11 11 11 11 11 11 12 12 12 13 13 14 14 13 13 13 13 13 12 11 10 10 10 10 10 11 11 11 11 11 12 13 14 15 16 16 14 12 10 9 8 8 9 10 11 12 13 13 13 13 12 12 11 11 11 11 12 12 12 13 13 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 13 13 12 13 nan
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nan 12 12 12 13 13 13 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 14 14 14 14 13 13 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 10 10 10 10 11 11 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 11 11 11 11 11 11 10 9 8 8 7 5 3 2 2 4 7 10 11 12 12 13 13 14 14 14 13 12 11 11 11 12 13 13 13 12 11 11 11 13 14 15 15 13 10 9 9 10 12 14 14 14 14 13 nan
nan 12 12 12 12 13 13 13 12 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 13 12 13 13 13 14 14 14 14 13 13 13 13 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 11 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 11 11 11 11 11 12 13 13 13 14 14 13 13 13 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 13 12 9 7 3 2 3 5 8 10 11 13 13 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 13 15 16 16 14 11 9 8 9 11 13 14 15 15 14 nan
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CAPE
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13 13 13 13 14 16 25 31 35 37 36 32 27 24 20 17 15 13 12 12 12 12 12 12 11 9 9 9 9 9 10 11 12 13 14 16 18 18 19 19 19 19 19 19 19 21 23 25 24 24 23 23 22 21 18 15 10 9 13 20 21 21 21 20 18 10 4 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 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 1 1 0 0 1 1 0 1 1 1 1 1 1 2 2 2 2 2 2 3 3 4
15 15 15 15 15 15 16 18 19 20 21 20 20 19 18 16 14 11 9 9 9 9 10 9 8 8 8 8 8 8 9 10 12 13 16 18 20 21 22 23 22 21 21 21 21 24 28 31 31 30 28 24 22 21 18 14 12 16 19 20 21 22 22 22 20 14 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 3 3 3 3 4 4 4 4 4
18 18 18 19 18 17 17 17 17 17 17 16 16 16 15 14 12 8 7 6 6 6 7 8 7 7 7 7 7 8 9 10 12 15 18 20 22 24 25 26 25 25 25 25 26 28 31 33 32 29 27 25 23 20 18 14 10 7 7 14 18 21 21 21 20 16 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 1 1 1 1 0 0 0 1 1 1 2 2 2 2 1 1 1 2 2 1 1 0 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 4 5
21 21 21 21 20 19 18 17 16 15 14 13 13 14 14 12 10 7 5 4 4 6 7 8 8 8 8 7 7 8 9 11 14 19 22 24 25 26 26 27 27 27 27 27 27 26 26 27 27 27 26 26 24 22 19 16 12 8 7 11 17 20 21 20 19 15 9 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 1 1 0 1 1 1 1 1 2 2 2 2 1 1 1 1 2 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 4 4 4 4
23 23 22 21 21 21 20 18 16 13 12 13 14 14 12 10 7 5 4 3 3 6 7 8 7 7 7 8 9 10 12 15 18 23 26 28 27 26 25 25 24 24 24 23 23 22 22 23 25 28 29 28 26 24 21 18 15 12 8 7 14 18 19 18 15 11 7 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 1 1 1 1 2 2 3 3 4 4 4 4 4 4 4 5 6 6 5 3 2 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 1 1 1 1 1 1 1 2 3 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 2 2 3 3 2 3 4 4 3 2 2 3 4 4 4 4 4 4 4
21 21 21 20 20 20 20 18 17 15 17 18 18 16 12 11 11 11 9 7 4 4 5 6 8 13 20 25 24 21 21 21 22 24 26 26 24 23 23 24 25 25 25 25 23 22 20 21 22 24 26 26 24 23 21 20 19 16 12 6 7 7 7 7 8 8 6 3 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 2 2 1 1 1 1 2 2 3 4 5 5 5 6 6 6 6 6 7 8 8 7 5 3 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 3 3 3 3 3 2 2 2 3 3 3 4 4 4 5 4
20 21 19 20 20 21 22 21 20 19 21 25 27 24 20 17 17 18 17 13 7 5 7 11 18 18 19 20 20 21 24 27 25 26 26 27 26 26 27 28 29 29 28 27 26 23 21 19 17 18 19 20 20 21 22 22 22 20 16 10 8 7 6 6 8 9 7 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 3 2 2 2 3 3 3 3 4 5 5 5 5 6 6 6 6 7 8 8 8 8 7 5 3 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 2 2 3 2 3 3 3 3 3 3 3 2 2 2 2 2 2 2 1 1 2 2 3 2 2 3 3 3 2 3 3 3 3 3 2 2 3 4 4 4 5 4 4 5 5
19 20 22 23 25 26 27 26 24 22 22 24 26 28 24 20 18 15 12 8 4 8 16 24 27 19 16 16 17 20 24 28 27 25 25 25 26 27 29 30 31 31 29 26 24 21 18 17 15 14 15 17 19 21 22 23 23 23 21 16 13 11 9 10 9 8 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 2 4 4 4 4 4 4 4 5 4 4 5 6 6 6 6 6 6 7 8 8 8 9 9 9 8 7 6 6 5 6 5 4 3 3 2 1 1 2 2 2 2 1 1 2 2 2 2 2 3 3 3 3 2 2 2 3 3 2 2 2 3 3 3 3 2 2 2 2 2 2 2 3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 5 5
17 19 20 21 23 25 26 26 25 23 21 21 21 23 24 22 19 14 9 5 3 6 13 16 11 13 15 18 21 22 24 25 25 24 24 24 27 31 34 36 36 34 32 29 26 24 22 19 17 15 16 18 19 20 20 21 21 21 21 20 17 15 12 10 8 6 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 3 3 4 5 5 6 6 6 6 7 6 6 6 6 5 5 6 6 7 8 8 8 9 10 11 11 11 9 8 8 8 8 8 8 7 6 5 4 3 3 4 4 4 3 3 3 3 3 3 4 4 4 3 2 2 2 2 2 3 3 3 3 4 4 3 3 3 2 2 2 2 2 2 3 3 3 3 4 4 3 3 3 3 2 2 2 2 3 3 3 3 3 3 4 4 4
17 19 20 20 20 19 20 21 22 23 21 20 20 23 25 27 26 19 12 6 3 3 4 6 8 12 17 22 27 28 28 28 27 27 27 27 31 35 39 41 40 38 36 34 33 31 29 25 23 22 22 22 21 20 19 19 20 20 21 20 19 17 14 11 9 6 4 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 3 3 4 4 4 5 6 6 6 6 6 6 7 6 5 5 6 6 6 7 8 8 9 10 11 12 13 13 13 12 12 11 12 12 11 10 10 9 7 7 8 9 8 8 7 6 5 5 5 5 5 5 4 3 2 2 2 3 3 3 3 2 3 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 3 3 3 3 3 3 3 3 2 2 3 3 2 3 3 3 3 3 3
15 16 16 15 15 15 17 18 20 22 23 23 22 22 22 24 24 20 15 10 5 4 4 6 9 14 20 26 29 30 30 29 30 31 31 30 32 34 37 39 40 41 40 36 35 33 32 30 26 23 21 21 20 20 20 21 22 22 21 21 19 18 14 11 9 7 4 3 3 3 2 2 2 2 2 2 2 1 1 1 1 1 2 3 3 4 4 5 5 4 4 4 5 4 4 4 5 5 5 5 5 6 6 5 5 5 6 6 6 6 8 9 9 9 10 11 12 13 13 14 15 15 16 16 14 12 14 16 15 15 15 15 13 12 10 9 7 6 5 5 5 5 5 3 3 3 3 2 2 2 2 2 3 3 4 4 4 4 4 3 3 3 2 3 3 3 3 3 3 3 4 4 3 3 3 3 2 3 3 3 3 2 2 2 3 3 3
13 13 13 12 12 13 15 18 20 23 24 24 24 23 21 19 17 15 13 10 9 8 9 10 14 20 25 28 28 28 27 27 28 29 30 30 32 34 35 36 38 39 39 36 36 36 33 29 25 22 21 20 20 21 22 23 23 23 22 21 19 17 14 12 10 9 7 6 5 4 3 2 2 2 1 1 2 2 2 3 3 3 4 5 5 5 5 5 5 4 4 4 5 5 4 3 3 3 4 4 4 5 5 4 4 4 4 5 6 7 8 9 9 9 10 11 12 14 15 16 17 18 19 20 20 17 17 18 17 18 19 19 17 14 12 9 8 8 8 6 5 5 5 5 3 2 2 2 2 2 3 4 4 4 4 4 4 4 4 3 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 2 2 2 2 3 3 4
11 10 10 11 13 17 20 21 22 22 23 24 24 23 20 18 16 14 15 17 22 21 22 22 23 27 29 30 29 27 26 25 27 27 27 28 30 32 33 34 36 39 41 39 35 31 27 25 22 20 19 19 20 21 23 24 24 23 22 20 19 16 14 13 12 9 7 5 3 2 1 1 1 1 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 5 5 5 5 5 5 6 7 8 9 10 11 11 12 14 17 17 17 17 19 20 22 23 23 22 20 19 19 20 20 18 16 14 9 7 7 8 7 7 8 7 7 6 5 3 2 1 2 3 3 3 4 4 4 4 3 3 3 2 3 4 4 4 4 4 4 3 3 3 4 4 4 3 3 3 3 3 3 3 4 4 4 4 4 4
14 13 14 17 21 24 28 29 29 26 25 24 24 23 22 20 18 20 31 39 37 37 36 35 32 30 27 25 23 24 25 25 27 28 30 31 30 30 30 31 33 36 38 36 31 27 22 20 19 17 17 17 18 20 22 23 23 22 21 20 19 17 16 14 12 8 5 3 2 2 2 1 1 2 2 2 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 6 6 6 6 6 7 7 6 7 7 8 9 11 12 14 15 15 15 15 16 17 20 21 22 22 22 22 22 21 20 19 18 17 13 11 11 12 11 12 12 9 8 6 4 2 2 1 1 2 2 3 4 4 4 4 4 4 4 4 4 4 4 4 4 3 4 3 3 3 3 4 4 3 3 3 4 4 4 4 5 5 5 5 5 4
32 34 35 34 34 34 35 36 36 36 35 32 28 27 27 27 25 25 33 42 47 46 41 35 31 27 23 20 19 22 24 26 27 30 32 35 35 35 34 33 32 32 32 30 27 24 20 20 19 18 17 17 18 20 22 22 22 21 20 19 17 14 11 9 7 4 3 2 2 2 2 2 2 2 2 3 3 3 3 2 2 2 2 3 4 4 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 6 6 6 8 8 8 7 6 7 8 9 9 11 12 14 14 14 14 15 15 16 17 18 19 20 20 20 19 20 20 19 18 18 16 15 13 9 8 9 10 6 4 3 4 4 3 2 2 2 2 3 3 3 3 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 6 5 4
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59 59 59 58 54 49 44 40 37 36 36 38 39 38 36 36 35 34 32 29 27 26 25 24 23 23 22 21 20 21 23 24 26 29 34 36 36 35 35 36 36 36 35 32 29 25 22 20 19 17 18 18 18 18 19 19 19 18 16 13 11 9 6 5 3 3 3 3 4 4 4 4 4 3 3 3 3 3 4 4 3 3 3 2 2 2 1 1 2 2 2 2 2 3 3 4 4 4 4 4 4 6 6 7 6 7 6 6 6 5 5 7 9 9 9 8 8 8 9 8 9 10 12 12 13 15 16 17 18 19 21 21 19 16 13 13 13 10 7 5 4 9 12 13 12 10 9 9 9 8 6 5 5 5 5 5 6 6 5 4 4 4 4 4 4 3 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 5 5 5
53 52 50 49 45 41 38 35 34 34 34 35 36 36 36 36 33 32 30 27 25 24 23 23 23 24 25 25 24 24 25 26 27 29 30 32 33 33 34 35 36 36 36 34 32 28 25 21 18 16 15 15 15 14 14 14 13 12 11 10 9 7 6 5 5 5 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 4 3 2 2 1 1 2 2 2 2 2 3 4 4 4 4 3 3 4 5 5 6 6 6 6 6 6 5 5 5 6 7 7 6 6 6 6 6 6 6 7 7 9 10 12 14 15 15 13 16 16 15 14 13 13 15 14 14 13 11 13 15 15 10 8 6 8 10 11 9 9 8 7 7 7 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 4 4 5 5 5 5 5
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30 26 25 25 25 24 23 23 22 22 22 21 21 21 21 21 21 22 22 22 22 22 22 23 23 23 24 25 25 25 25 24 24 24 25 27 28 29 29 30 31 32 34 33 31 30 28 27 25 22 20 17 14 11 11 11 11 10 9 9 8 8 8 8 8 8 8 8 8 7 6 5 4 4 5 7 8 9 8 8 7 6 6 5 4 3 3 3 3 3 4 4 3 4 4 4 3 3 4 4 4 5 5 4 4 4 3 4 3 3 3 3 4 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 6 7 7 9 10 11 11 11 11 12 13 13 14 14 14 13 13 12 12 12 12 12 12 12 11 10 9 8 7 6 6 5 5 4 5 5 5 5 4 4 4 3 4 3 3 4 4 4 4 4 4 4 5 6 6 7 7
20 18 16 16 17 17 17 18 19 18 18 18 17 17 17 18 18 19 20 20 19 20 21 22 20 20 20 21 22 22 22 22 22 22 23 23 24 26 27 28 30 32 31 31 31 30 27 26 26 26 24 21 18 16 14 13 12 12 12 12 11 10 10 10 10 10 10 9 8 7 6 5 5 5 6 8 9 9 9 8 8 7 7 6 6 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 5 5 4 4 3 3 2 3 3 3 3 3 3 4 4 4 5 5 4 4 4 4 3 3 4 4 4 4 4 3 3 4 4 5 7 8 8 9 10 10 11 11 12 13 14 15 16 16 15 14 14 14 14 13 12 11 9 8 7 6 6 5 5 5 5 5 4 4 4 4 4 3 3 3 3 4 4 4 4 4 4 4 4 5 5 6 6
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