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 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 7 7 7 7 8 8 10 12 13 13 13 11 11 10 10 10 10 10 10 11 11 12 12 11 11 10 10 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 11 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 nan
nan 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 11 13 14 13 12 11 9 9 9 8 9 10 10 10 11 11 11 11 10 10 9 9 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 10 10 10 11 11 12 12 12 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 nan
nan 8 8 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 8 7 7 7 8 8 8 9 9 9 8 7 7 7 7 7 7 7 8 9 10 11 13 13 12 11 9 8 7 7 9 10 10 10 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 11 11 10 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 7 7 7 nan
nan 8 8 8 8 8 9 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 6 6 7 7 7 8 8 7 7 7 7 8 8 8 7 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 7 7 6 7 7 8 8 9 10 12 14 13 12 10 8 7 7 8 10 10 10 9 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 11 10 10 11 11 11 11 11 11 12 12 12 11 11 12 12 12 11 11 11 11 10 10 10 10 10 10 9 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 8 8 8 nan
nan 9 9 9 8 9 9 9 9 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 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 7 8 8 7 8 7 7 8 9 9 9 9 8 8 7 7 7 7 7 7 7 8 10 12 13 14 14 12 10 7 7 8 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 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 9 9 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 nan
nan 10 10 9 8 8 9 9 8 8 7 8 8 8 8 7 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 7 8 8 8 8 8 8 7 8 9 9 9 9 9 8 8 8 8 7 7 7 7 7 8 10 12 14 15 14 12 10 9 8 9 9 10 10 10 9 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 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 12 13 13 13 13 13 13 13 13 13 12 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 10 10 9 8 8 9 9 8 8 7 8 8 8 7 7 7 8 8 8 7 7 7 6 6 7 7 8 8 8 8 9 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 8 8 8 7 7 6 6 6 7 7 7 8 9 11 13 14 14 13 12 11 10 10 11 11 11 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 12 11 11 12 12 13 13 14 14 14 13 13 13 13 13 12 11 11 10 10 10 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 nan
nan 9 10 10 9 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 8 9 10 9 10 10 10 11 11 12 12 12 11 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 8 8 9 9 9 10 10 9 8 7 7 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 8 9 10 12 14 16 16 15 13 12 11 11 11 11 11 11 10 10 11 11 11 11 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 12 12 12 12 12 13 13 14 13 13 13 13 13 13 13 13 12 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 9 10 10 9 8 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 10 11 11 10 10 9 9 9 10 11 12 12 11 10 10 10 10 9 8 9 9 10 10 10 9 9 10 10 10 9 9 9 9 9 8 8 9 9 10 10 10 8 7 7 7 8 8 8 8 7 7 7 7 6 6 7 7 7 7 7 8 9 10 13 16 17 17 16 15 13 11 11 11 12 12 11 12 12 12 12 11 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 13 14 14 14 14 13 13 13 12 11 11 11 11 11 10 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 nan
nan 8 8 9 9 8 8 7 7 7 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 9 10 11 10 10 9 8 8 8 9 10 11 11 10 9 10 10 9 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 10 9 8 8 8 8 9 10 10 9 8 8 7 8 9 9 9 8 8 8 7 7 7 8 8 8 7 8 9 9 10 11 12 14 15 16 16 15 13 12 12 12 12 12 12 12 12 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 9 9 9 9 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 11 11 11 12 13 13 13 13 13 13 12 12 11 11 11 11 11 10 9 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 nan
nan 8 8 8 9 9 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 8 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 9 9 9 9 8 9 9 9 9 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 9 10 10 10 10 11 11 11 13 15 15 15 15 13 13 13 12 12 12 11 11 10 10 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 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 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 nan
nan 9 8 8 9 9 8 7 7 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 11 10 9 9 9 9 9 10 10 9 9 10 11 10 9 9 10 10 10 10 10 10 10 10 11 13 15 16 17 16 15 14 13 12 11 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 12 12 13 13 12 11 10 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 nan
nan 10 9 8 8 8 8 8 7 6 6 7 8 8 9 9 8 8 8 10 10 10 10 10 10 9 9 9 9 9 8 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 9 9 9 9 10 11 11 10 9 9 10 11 12 11 10 11 11 11 10 9 10 10 10 10 10 10 10 10 10 11 12 13 15 17 17 17 16 15 13 12 10 10 9 9 9 8 8 8 8 8 9 9 9 9 8 8 7 6 6 7 7 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 11 11 10 10 10 10 11 11 11 12 11 11 11 12 12 12 11 11 11 11 11 11 11 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 7 nan
nan 11 10 9 8 8 8 8 7 7 7 7 8 9 9 8 8 8 11 12 12 11 10 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 8 8 9 9 8 8 8 9 9 10 10 9 9 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 9 10 11 11 10 10 11 12 12 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 11 11 11 12 14 16 17 17 16 14 13 12 11 10 9 9 9 9 9 9 10 10 10 10 10 9 8 7 6 5 6 6 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 11 12 12 12 12 12 12 12 12 12 11 10 9 10 10 10 11 11 11 10 10 9 9 9 9 8 8 9 9 9 9 9 9 9 8 8 nan
nan 11 11 10 9 8 8 8 8 7 7 7 8 8 8 8 8 10 13 14 12 10 9 9 8 8 8 8 8 8 8 9 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 10 10 9 8 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 9 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 13 14 15 15 14 14 13 12 11 10 10 11 11 11 11 11 12 12 11 11 10 9 7 6 5 5 6 6 7 8 9 9 9 10 10 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 12 12 12 13 12 12 11 10 9 10 11 11 12 12 12 12 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 11 11 11 9 9 9 9 9 8 8 8 8 7 7 8 9 11 12 12 10 9 9 8 7 7 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 8 8 8 9 9 9 9 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 10 11 12 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 11 12 12 13 13 14 14 13 12 12 12 12 12 12 12 13 13 13 12 11 10 9 8 7 6 6 6 7 7 8 9 9 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 11 12 13 13 13 12 11 10 10 11 11 12 12 13 13 13 12 12 11 11 11 10 10 9 9 9 9 9 9 9 9 9 nan
nan 11 11 11 10 9 9 9 9 9 8 8 8 7 8 9 10 11 11 10 9 8 8 8 7 7 7 7 7 7 7 7 8 9 9 8 8 7 7 7 7 7 8 8 8 8 9 9 8 8 7 6 6 7 7 8 8 8 9 8 8 8 8 7 7 7 7 7 8 9 9 9 10 12 13 13 12 10 9 8 8 9 10 10 10 10 10 10 10 9 8 8 8 9 9 10 11 11 11 10 10 10 12 13 14 13 13 13 13 13 13 13 13 13 13 13 12 12 11 10 9 9 8 8 8 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 12 12 12 12 12 11 11 11 11 11 11 11 12 12 13 13 13 12 12 12 12 11 11 10 10 9 9 9 9 9 9 nan
nan 11 11 11 10 8 8 8 8 8 9 8 8 7 8 9 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 6 8 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 6 7 7 8 8 9 9 8 8 8 8 7 7 7 7 7 8 8 9 9 9 10 11 12 12 11 9 8 8 8 9 10 10 10 10 10 10 9 8 7 7 8 9 9 10 10 10 10 9 8 9 11 13 14 14 14 14 14 14 14 14 14 14 13 13 12 12 11 11 10 10 10 10 10 10 11 11 12 12 13 13 13 12 12 12 11 11 11 10 10 10 10 9 9 10 10 10 10 10 10 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 12 12 11 11 10 10 9 9 9 9 nan
nan 11 12 11 10 8 8 7 7 8 8 8 7 7 7 9 10 10 10 9 9 8 8 8 8 7 7 7 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 9 9 9 8 8 8 7 6 6 7 7 8 8 9 9 9 9 10 11 11 10 8 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 9 10 10 10 9 9 8 8 8 10 12 13 14 15 15 15 15 15 14 14 14 13 12 12 12 11 11 11 11 11 11 11 11 12 13 14 14 14 14 14 14 13 13 13 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 10 10 10 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 9 nan
nan 11 12 11 10 9 8 7 7 7 7 7 7 7 8 9 10 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 7 6 6 6 7 8 8 9 9 9 8 9 10 10 10 8 6 5 6 7 8 8 8 7 7 7 7 8 9 9 9 9 9 10 11 10 10 9 8 7 7 7 8 9 11 13 15 16 16 15 14 14 14 13 12 11 11 11 11 11 11 11 10 10 10 11 12 13 14 14 14 14 14 14 14 13 13 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 13 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 10 10 nan
nan 11 11 11 10 9 8 7 7 7 7 7 7 7 8 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 8 7 7 7 8 8 8 8 8 8 7 7 7 8 7 7 6 6 7 7 7 8 9 9 9 9 9 8 7 6 6 7 7 8 9 9 9 9 8 8 8 9 10 10 7 4 4 7 8 9 9 8 8 7 7 7 8 9 9 9 9 10 11 11 10 9 8 7 7 7 7 7 7 8 11 13 14 13 12 11 11 12 12 11 10 10 10 10 10 10 9 9 8 8 9 10 11 12 12 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 12 13 13 13 14 14 13 13 12 11 11 11 11 11 10 10 10 10 10 9 9 10 11 11 11 11 12 12 12 11 11 nan
nan 10 11 11 10 9 8 8 7 7 7 7 7 7 8 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 8 9 9 10 10 10 9 8 7 6 7 8 8 9 9 9 9 8 7 7 8 10 10 10 6 4 5 7 9 9 9 8 8 8 7 7 9 10 10 10 10 10 10 10 9 7 6 6 7 7 7 7 6 7 8 10 10 8 6 5 6 9 11 11 11 10 9 8 8 7 7 7 6 6 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 13 14 15 14 13 12 12 12 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 12 12 12 nan
nan 10 10 10 10 9 8 8 8 7 7 6 6 6 8 10 10 10 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 6 6 7 8 9 10 11 11 10 9 8 7 7 8 9 9 9 9 8 8 7 7 7 9 11 10 8 5 5 6 7 8 8 8 8 9 8 7 8 9 10 10 10 10 10 10 8 6 5 5 6 7 7 7 7 7 7 8 8 8 6 3 2 3 6 9 10 11 10 9 7 6 5 5 5 4 4 5 7 7 7 8 8 8 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 12 13 14 14 13 13 13 12 12 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 12 12 nan
nan 9 10 10 10 9 8 8 7 7 6 6 6 6 8 10 10 10 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 10 10 11 10 8 7 6 6 6 7 9 10 11 11 10 9 8 8 8 9 9 9 9 9 9 8 7 6 7 8 10 11 9 6 4 5 7 8 8 8 8 8 8 8 8 8 9 10 10 10 10 9 8 6 4 5 6 7 7 7 8 7 7 7 7 8 7 6 4 4 4 5 7 9 10 10 9 7 6 5 4 3 3 4 5 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 10 11 12 13 13 13 14 14 13 13 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 11 12 nan
nan 9 9 10 10 10 9 8 7 7 6 6 7 8 9 10 10 10 9 8 8 8 8 8 8 7 7 7 7 7 7 6 7 8 8 8 8 8 8 8 9 10 10 11 10 9 7 6 6 7 8 9 10 11 11 9 8 8 8 9 10 10 10 9 9 8 7 6 6 8 10 11 10 7 5 4 6 7 7 8 7 7 8 8 8 8 8 8 9 10 9 9 8 7 5 5 7 8 8 7 7 8 8 7 7 7 7 6 6 6 7 7 6 6 7 8 9 9 7 6 5 4 3 4 4 5 6 6 6 5 5 5 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 11 12 12 13 14 14 14 14 13 12 12 12 12 12 11 11 10 10 10 10 9 9 9 9 9 9 10 10 nan
nan 8 9 10 10 10 9 9 8 7 7 7 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 9 9 10 9 8 7 6 7 7 8 9 10 10 10 9 8 9 9 10 10 10 11 10 9 7 6 6 8 10 11 11 8 5 4 5 6 7 7 7 8 8 8 8 8 8 7 8 8 8 8 7 7 6 5 6 8 9 8 8 8 8 8 7 7 7 6 6 6 8 9 9 8 7 7 7 7 6 6 6 6 5 5 5 6 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 11 11 12 13 13 14 14 14 14 14 14 14 13 12 12 11 11 11 11 11 10 10 10 10 9 9 9 9 nan
nan 8 8 9 10 10 9 9 9 8 8 8 8 8 8 9 9 10 9 8 8 7 7 7 7 7 7 8 7 7 7 8 8 8 9 9 8 8 7 7 7 8 8 9 9 8 7 7 7 8 9 9 9 9 8 8 8 9 10 11 11 11 11 10 8 7 6 7 9 11 11 9 6 4 4 6 6 7 7 7 8 8 8 8 8 7 7 8 8 7 7 7 6 6 7 7 8 8 8 8 8 7 7 7 6 6 6 7 7 8 9 9 8 8 8 7 6 5 6 7 8 9 8 8 7 6 4 4 5 5 6 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 14 15 15 15 15 15 15 14 13 12 12 12 12 11 11 11 11 11 11 11 10 10 10 nan
nan 8 8 9 9 10 10 9 9 8 8 8 8 7 7 8 9 9 9 8 8 7 7 6 6 7 7 7 7 7 7 8 8 8 9 10 9 9 8 7 7 8 8 8 8 8 7 7 7 8 9 9 9 8 8 8 8 10 11 11 11 11 10 9 7 6 7 9 10 11 10 8 5 4 5 6 6 7 7 8 8 8 8 8 7 7 7 8 8 7 6 6 6 7 7 8 8 8 8 8 8 7 7 6 6 6 7 7 8 9 9 8 8 8 8 7 6 6 7 9 12 13 12 10 7 5 3 4 5 7 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 14 15 15 16 16 16 15 14 13 13 13 13 13 12 12 11 11 11 12 12 11 11 11 nan
nan 8 8 8 9 9 10 9 9 9 8 8 8 7 7 7 9 9 9 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 7 6 7 8 9 9 9 8 8 8 9 10 11 11 11 10 9 7 6 7 9 10 11 10 7 5 4 4 5 6 7 7 8 8 9 8 8 8 7 7 8 8 8 6 6 6 7 7 8 8 8 8 9 8 8 7 6 6 7 8 8 8 9 8 8 8 8 7 7 7 7 7 8 10 12 13 12 9 4 1 2 5 6 8 9 10 10 10 11 11 12 12 12 12 11 11 11 12 12 12 13 13 14 14 14 14 14 15 15 15 14 14 14 13 13 13 13 14 15 16 17 18 17 16 16 15 14 14 15 14 13 13 13 13 13 13 13 13 13 13 nan
nan 9 8 8 8 9 9 9 9 9 9 8 8 7 7 7 8 9 10 10 9 7 7 7 7 7 7 7 7 8 8 8 7 8 8 9 9 10 10 10 9 9 9 9 9 8 7 7 7 8 9 9 9 8 8 9 10 10 11 10 10 9 8 7 8 9 11 12 12 8 4 3 3 4 6 7 7 8 9 9 9 8 8 7 7 7 8 8 7 6 6 6 7 8 8 8 8 9 9 8 7 7 6 7 8 9 8 8 8 8 8 8 8 7 7 7 7 7 8 9 10 10 7 3 -2 -2 2 5 8 10 10 10 10 11 12 14 14 14 14 14 14 14 14 14 15 15 15 16 16 16 16 16 16 16 16 16 16 16 16 15 15 15 15 15 15 16 18 19 19 18 17 17 16 16 16 15 15 15 14 14 15 15 15 15 15 15 nan
nan 9 9 8 8 8 8 9 9 9 9 9 8 8 7 8 8 9 9 10 9 8 7 7 7 7 7 7 7 8 8 8 7 7 8 8 9 9 9 10 10 10 10 9 8 8 7 7 8 8 9 9 8 8 8 10 11 11 10 9 8 8 8 8 9 11 12 12 10 5 1 1 2 4 6 7 8 9 9 9 9 8 8 7 7 7 7 7 7 6 6 7 8 8 8 8 8 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 8 8 8 7 4 -2 -4 -1 4 8 10 11 10 9 10 12 14 15 15 15 15 15 15 16 16 17 17 17 17 17 17 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 17 18 19 19 19 18 18 17 17 16 16 16 15 15 16 16 16 16 15 15 nan
nan 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 7 8 9 10 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 8 8 8 8 9 9 9 9 8 7 8 10 11 11 10 8 8 8 9 9 9 11 11 10 5 1 -0 1 3 6 8 9 9 10 9 9 8 8 7 7 7 7 7 7 8 7 7 8 8 8 8 8 8 8 7 7 7 7 8 9 8 8 8 8 9 8 8 7 7 6 6 6 7 7 8 8 8 5 1 -2 -1 4 9 11 12 11 10 9 10 12 13 14 14 14 14 15 15 16 17 17 17 17 16 16 16 15 15 15 15 14 14 14 14 14 14 14 14 15 15 15 15 15 16 16 17 18 19 19 19 18 18 17 17 16 16 16 16 16 16 15 15 16 nan
nan 10 9 8 7 7 8 8 9 9 9 9 9 9 8 8 7 7 9 10 10 9 8 7 7 7 6 7 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 8 9 9 10 10 10 9 7 6 7 9 11 11 10 9 9 9 9 9 9 9 9 6 2 0 1 3 6 8 10 11 10 9 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 8 8 9 9 9 8 7 7 7 6 6 6 7 7 8 8 7 5 1 0 5 10 13 13 12 10 9 9 10 12 12 13 12 12 12 13 14 14 15 15 14 14 14 13 13 13 12 12 12 12 12 11 11 11 11 11 11 12 13 13 13 13 13 14 14 16 17 17 17 18 18 18 17 17 16 16 16 16 16 16 15 16 nan
nan 10 9 8 8 7 7 8 9 9 9 9 9 8 8 8 8 8 9 9 10 10 9 8 7 6 7 7 8 8 9 9 9 9 9 9 8 8 8 9 8 9 9 9 8 8 9 10 10 10 10 8 7 7 7 9 10 11 10 10 10 10 9 9 8 8 6 4 2 2 4 6 9 11 12 11 9 8 7 7 7 7 7 7 7 7 8 8 9 9 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 7 6 5 7 12 16 16 13 11 9 8 9 11 11 12 11 9 9 9 9 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 11 11 12 13 14 14 15 15 16 16 17 16 16 16 15 15 16 16 16 16 nan
nan 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 10 10 10 9 8 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 7 8 8 9 8 9 9 10 11 10 9 8 8 8 8 8 9 10 10 10 10 10 9 8 8 7 5 5 4 5 7 9 11 12 12 10 7 6 7 8 8 7 7 7 8 8 9 9 8 8 7 7 6 6 7 8 8 7 7 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 9 12 16 16 14 12 10 9 9 10 11 12 10 7 6 5 5 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 10 10 11 11 12 12 13 14 14 14 14 14 15 15 15 16 16 17 nan
nan 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 7 7 7 7 8 8 8 8 9 9 9 9 8 8 8 7 7 7 8 8 9 10 10 10 10 10 8 8 8 9 9 9 9 9 8 7 8 9 9 8 7 6 6 6 6 7 9 10 11 11 9 7 6 6 7 7 7 7 7 7 8 9 9 8 7 6 7 7 7 7 8 8 8 7 7 8 8 9 9 9 9 9 8 8 8 7 7 8 8 7 8 7 7 7 7 8 10 9 10 12 12 12 10 9 8 8 8 10 13 12 7 3 1 1 2 4 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 7 7 8 8 8 8 9 9 9 10 10 11 11 12 12 12 12 13 14 14 14 15 nan
nan 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 10 10 9 8 8 7 7 8 8 8 8 8 8 8 9 8 9 9 9 8 7 7 8 8 9 10 10 9 9 9 9 8 9 10 10 10 10 9 7 6 7 8 8 8 7 6 6 7 7 8 10 10 10 8 7 6 6 7 7 7 7 7 7 8 8 9 8 7 6 7 7 7 7 7 8 8 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 9 9 9 9 8 8 7 7 7 7 8 10 12 8 2 -1 -2 -1 2 4 5 6 6 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 9 8 7 7 8 8 8 7 7 6 7 7 7 8 9 9 9 7 6 6 7 8 8 7 7 7 7 8 9 9 7 7 7 7 8 7 6 7 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 9 9 9 8 6 6 6 6 6 6 7 9 7 2 -2 -4 -3 1 4 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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 nan
nan 8 8 8 8 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 9 8 8 7 7 7 8 8 8 8 7 7 8 8 8 9 9 8 8 8 8 9 8 8 7 8 8 8 8 9 9 10 10 10 9 9 8 8 8 9 10 10 8 7 6 6 7 7 7 8 8 9 8 7 7 7 8 8 8 7 8 8 8 8 8 8 6 6 7 7 6 5 5 6 6 7 8 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 7 5 5 4 5 5 5 5 4 0 -3 -4 -3 0 4 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 nan
nan 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 8 7 6 7 8 9 8 8 7 7 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 8 8 9 10 9 9 9 8 7 7 9 10 11 10 9 7 6 7 7 7 6 7 7 8 8 8 7 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 5 5 6 7 9 9 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 8 9 8 7 7 8 8 9 8 6 6 7 7 7 7 6 4 -0 -4 -5 -3 0 4 6 7 7 7 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 7 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 nan
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nan 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 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 11 12 13 13 13 12 12 11 10 10 9 9 8 8 9 9 10 10 10 9 9 9 9 9 8 8 8 9 10 11 11 11 10 10 10 10 10 10 9 9 9 9 8 8 8 9 11 12 12 11 10 10 10 11 11 12 13 14 14 13 12 11 11 11 11 10 10 10 10 11 13 16 18 18 17 14 13 14 17 20 23 24 23 20 15 12 12 13 13 12 11 11 10 10 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 10 nan
nan 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 10 10 10 10 11 11 12 12 13 13 13 13 12 12 12 11 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 10 12 13 13 12 10 10 10 10 10 10 11 11 12 12 12 11 11 10 9 8 8 9 9 10 11 11 12 12 11 8 5 3 1 2 4 7 9 9 7 6 10 15 17 14 12 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 nan
nan 8 8 9 9 9 9 10 10 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 8 8 8 8 7 7 7 7 7 7 8 8 9 9 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 9 9 9 9 10 11 11 11 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 11 13 14 14 12 10 9 9 10 10 10 9 9 9 9 10 10 10 9 9 8 8 8 9 10 11 12 12 11 11 10 10 9 7 4 -0 -2 -3 -3 -5 -4 1 7 12 13 10 9 10 10 11 12 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 nan
nan 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 8 8 8 7 7 6 7 7 7 8 9 9 10 11 11 11 11 11 11 11 10 10 10 10 11 12 12 11 11 11 12 12 11 11 11 11 10 9 8 8 9 10 10 11 11 11 11 10 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 12 12 13 12 11 9 9 9 10 10 9 9 9 8 8 9 8 8 8 9 9 9 9 9 10 11 12 12 12 12 13 15 17 18 17 14 10 8 5 3 5 9 12 13 10 10 11 13 13 13 13 13 13 13 13 13 13 14 15 16 15 14 14 13 13 12 12 12 12 nan
nan 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 10 11 11 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 11 10 10 9 9 9 8 8 7 7 6 6 7 7 8 9 9 10 10 11 11 10 8 6 6 5 6 6 7 9 10 11 10 10 10 10 12 12 11 11 11 11 10 9 8 8 8 9 9 9 10 10 9 10 10 10 11 11 11 10 10 9 9 9 9 9 9 9 10 10 11 11 10 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 8 9 10 11 12 12 13 13 15 17 19 22 24 25 24 22 23 25 27 27 24 21 21 22 22 21 20 18 16 15 14 14 15 18 22 23 21 18 15 13 13 12 12 12 12 12 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 8 8 8 7 7 6 7 7 8 9 9 10 9 8 7 5 1 -2 -4 -4 -2 1 3 5 7 8 8 9 10 11 11 12 12 12 12 11 10 9 7 7 7 8 8 8 9 9 9 10 11 11 11 11 11 10 9 9 8 8 8 8 8 9 9 10 10 9 9 8 7 7 7 7 7 8 8 8 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 11 12 12 12 12 13 15 18 22 25 26 27 28 30 32 31 29 29 30 30 30 30 29 26 23 21 19 19 20 24 26 25 21 17 14 12 12 12 12 12 13 13 nan
nan 10 10 10 9 9 9 9 9 8 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 9 8 8 8 9 9 10 11 12 12 11 11 11 11 11 11 10 10 10 9 9 9 9 9 8 8 7 7 7 7 7 8 8 9 9 8 5 1 -3 -6 -9 -11 -10 -7 -3 -1 0 1 2 3 6 8 10 11 11 12 11 10 9 7 5 4 4 5 6 8 8 9 9 10 11 12 12 12 11 11 10 9 8 8 8 8 8 8 8 8 9 9 9 8 7 6 6 6 7 7 8 8 8 9 10 10 10 10 10 10 11 11 11 11 11 12 13 12 12 11 11 12 12 12 11 11 12 13 14 16 18 19 20 21 21 20 21 22 23 25 27 29 30 28 27 28 28 28 26 24 22 18 16 15 15 15 15 14 14 13 13 13 nan
nan 10 10 10 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 11 11 10 7 4 0 -2 -1 1 3 6 9 11 12 12 12 12 12 11 11 11 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 6 2 -3 -7 -9 -9 -8 -5 -2 1 3 3 1 -0 0 2 5 7 8 7 6 6 6 4 2 1 0 1 3 5 7 9 10 11 12 13 13 13 12 11 10 9 8 7 7 7 7 7 7 7 8 8 8 7 7 6 6 6 6 7 8 9 9 9 9 10 10 10 10 10 10 11 11 10 10 10 11 12 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 11 11 12 14 15 17 19 20 22 26 29 30 30 28 24 20 17 17 20 22 22 20 18 14 12 12 12 nan
nan 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 10 10 11 11 11 12 11 11 9 6 1 -4 -8 -9 -8 -5 -1 4 9 11 12 12 13 13 13 12 11 11 11 10 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 7 2 -2 -6 -6 -4 -1 2 5 8 10 9 8 6 5 5 5 5 4 2 -1 -2 -3 -3 -3 -3 -2 -0 1 3 5 8 10 12 13 14 13 12 11 11 10 9 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 6 7 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 15 14 14 14 13 12 11 10 9 9 9 8 8 8 8 8 9 9 9 10 10 11 11 13 15 19 21 23 23 24 24 23 21 20 20 19 18 15 12 10 9 9 9 nan
nan 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 10 9 6 2 -3 -6 -8 -8 -7 -4 1 6 9 10 11 13 14 14 13 12 12 11 11 10 9 8 8 7 7 7 8 8 8 7 7 8 8 8 8 6 3 1 1 4 8 10 11 12 13 13 12 11 10 9 8 7 5 3 -2 -6 -7 -7 -7 -5 -3 -1 1 2 3 6 9 11 12 13 12 10 10 9 9 8 8 7 7 7 7 7 7 7 7 6 5 5 6 6 6 6 6 6 7 8 10 10 10 9 10 10 10 10 9 10 10 10 10 10 9 10 10 11 11 13 15 17 17 17 15 13 11 10 8 8 8 7 8 8 9 9 9 9 9 9 9 10 10 10 10 12 13 14 15 16 18 20 19 16 10 5 2 0 1 1 3 5 8 9 nan
nan 10 10 10 9 9 9 10 10 9 9 9 9 9 9 10 10 10 11 10 10 10 9 8 3 -1 -4 -5 -5 -3 -2 1 5 9 11 12 14 15 16 15 13 12 12 12 11 10 9 8 8 7 7 7 7 7 7 7 7 8 8 9 8 7 7 8 11 16 18 19 19 18 16 14 12 11 10 10 9 7 6 4 1 -1 -2 -3 -3 -2 -1 -1 -0 1 5 9 12 13 12 10 7 7 7 8 8 8 7 7 7 7 8 8 7 6 5 3 2 3 4 6 7 8 8 9 11 12 11 10 8 8 9 9 10 9 9 10 10 10 10 10 10 10 11 11 12 14 16 17 18 16 13 12 10 9 7 7 6 6 7 8 9 10 10 10 9 9 10 10 10 11 11 12 12 12 12 12 13 13 11 5 -1 -6 -8 -7 -4 -1 3 6 8 9 nan
nan 10 10 10 9 9 9 9 9 10 10 9 9 9 10 10 10 10 10 9 9 9 8 6 1 -3 -4 -4 -3 -1 2 5 8 11 13 16 19 20 18 15 14 13 13 12 11 10 9 8 8 7 7 7 6 6 6 7 7 8 9 9 9 9 11 13 18 22 23 23 22 20 17 13 12 12 12 12 10 9 8 7 6 6 6 6 5 3 2 1 1 3 7 10 12 11 9 6 4 4 5 7 7 7 7 8 7 7 7 7 6 5 4 3 4 5 6 8 9 10 12 13 14 13 11 9 7 7 8 9 9 10 10 10 10 10 10 10 10 10 11 12 13 14 15 15 15 13 11 10 9 8 7 6 6 6 7 8 9 10 11 10 10 10 10 10 11 11 12 13 13 12 11 11 10 8 3 -2 -5 -5 -3 -1 1 4 6 9 10 11 nan
nan 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 8 3 -1 -4 -4 -3 -2 1 5 8 10 12 15 19 22 22 19 16 15 14 13 13 11 10 9 9 8 7 7 6 6 6 7 7 8 9 10 10 10 10 12 14 18 20 20 18 16 13 11 11 13 16 16 14 12 10 10 9 9 10 10 10 9 8 7 7 7 8 9 8 6 4 3 2 2 3 5 6 6 6 7 7 6 6 6 5 5 5 6 8 10 11 11 11 12 13 13 13 13 11 10 8 8 7 8 8 9 9 9 9 10 10 9 8 9 9 11 12 12 12 12 12 11 10 9 9 8 7 7 7 6 7 8 9 10 11 12 11 11 11 11 11 11 11 12 13 12 11 10 9 6 1 -4 -6 -6 -3 1 4 6 8 9 11 11 12 nan
nan 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 6 0 -3 -4 -4 -3 -0 4 7 9 10 12 14 19 22 23 20 17 16 14 13 12 11 10 9 8 8 8 7 7 6 7 7 7 8 9 10 10 11 11 12 13 15 15 12 7 3 2 5 10 15 18 16 14 12 11 11 11 11 11 11 11 12 11 12 12 13 13 10 7 2 -1 -2 -2 0 2 3 4 5 5 5 4 4 5 5 5 6 8 10 12 13 12 12 11 12 12 11 10 9 9 9 9 9 9 9 8 8 7 7 8 8 8 7 7 8 9 9 10 10 10 9 9 8 7 8 8 7 7 8 8 8 9 10 10 12 13 12 12 12 11 11 11 11 12 12 12 12 10 9 5 -1 -6 -8 -8 -4 0 4 6 8 10 11 12 12 12 nan
nan 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 3 -2 -4 -4 -3 -1 2 5 8 9 10 11 13 18 22 23 21 18 16 14 13 11 10 10 9 8 8 7 7 6 6 7 7 8 8 9 9 10 11 11 12 13 13 10 5 -1 -3 -0 6 12 17 16 14 13 13 13 12 12 13 13 13 13 14 14 15 16 16 16 13 10 5 1 -1 -2 -1 0 1 2 4 4 4 3 3 4 5 6 7 9 10 10 9 8 8 9 10 9 7 6 7 7 7 8 9 10 10 9 8 9 9 10 9 9 9 9 10 10 10 9 8 8 8 6 6 6 6 6 7 8 9 9 10 11 11 11 13 13 13 13 12 11 11 11 11 12 12 12 11 11 9 4 -1 -4 -3 -1 3 6 8 9 10 11 12 12 12 12 nan
nan 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 8 3 -1 -3 -3 -2 0 3 5 7 9 10 11 13 16 20 22 22 19 16 14 13 11 10 10 9 9 8 7 7 7 7 7 8 8 8 8 9 10 10 11 11 11 11 8 3 -0 2 8 14 18 17 14 12 13 13 14 14 15 16 16 17 18 19 19 20 22 22 21 17 13 9 5 3 2 1 1 1 2 4 5 5 5 5 5 5 6 6 7 7 6 6 7 8 9 9 7 6 6 6 6 5 5 6 8 9 10 12 14 15 14 12 12 13 13 14 12 11 9 8 7 6 5 5 5 6 6 8 9 10 10 11 11 11 12 13 13 13 13 12 11 11 10 11 12 12 11 11 11 10 8 7 8 9 9 10 10 10 10 11 11 11 12 12 12 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 9 8 5 2 0 -1 -1 0 3 5 7 9 11 11 13 15 18 21 22 19 17 15 13 10 9 10 10 9 8 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 8 7 8 13 17 20 20 16 12 11 12 12 13 15 17 18 19 21 22 24 25 27 29 29 25 20 15 11 9 7 6 5 4 4 3 4 5 7 8 9 8 7 7 7 7 8 9 11 12 13 13 11 9 8 8 8 7 6 6 7 8 10 14 17 18 17 14 11 11 11 12 12 11 10 8 6 5 4 4 5 6 7 8 10 10 11 11 11 11 11 12 13 13 14 14 12 11 10 10 10 11 11 10 10 10 10 12 15 17 15 12 10 9 9 10 10 10 11 11 11 11 nan
nan 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 6 3 0 -1 -1 0 2 5 7 10 11 12 12 14 17 21 23 21 19 16 13 11 10 10 10 9 8 8 8 7 7 8 8 8 8 7 8 9 9 10 9 9 9 9 10 13 16 18 18 15 12 10 10 9 9 10 12 14 15 17 19 22 24 26 29 30 28 25 21 17 15 14 13 13 13 12 11 9 8 9 11 12 12 11 10 9 9 10 12 14 15 15 14 12 10 10 10 10 11 11 11 11 11 12 14 16 16 14 11 8 8 8 8 7 8 8 7 6 4 4 4 6 8 9 10 11 12 12 12 11 11 10 11 12 12 13 14 13 11 10 9 9 9 10 10 10 10 10 11 13 15 13 9 7 5 6 8 9 9 10 10 10 11 11 nan
nan 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 6 1 -1 -2 -2 -0 2 5 8 11 12 12 12 13 17 24 27 26 23 18 14 12 11 11 10 9 9 8 8 7 7 8 8 8 7 7 8 9 9 9 9 9 9 9 10 11 12 11 10 8 7 7 6 6 6 7 7 8 9 11 14 16 19 21 23 23 21 20 20 20 20 20 20 22 22 21 20 19 19 20 19 18 16 13 12 11 11 12 14 14 13 11 10 8 9 10 12 13 14 14 14 14 13 13 13 12 10 6 5 5 7 8 7 7 6 6 6 5 5 6 8 11 12 13 14 14 14 13 12 11 10 10 11 11 11 12 12 10 9 8 8 8 9 9 10 10 10 11 11 12 9 5 2 1 2 6 8 9 9 9 9 10 10 10 nan
nan 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 10 10 9 4 0 -2 -2 -2 0 3 7 9 11 12 12 12 14 21 28 31 30 25 17 13 12 11 10 10 10 10 9 8 8 8 8 8 7 7 8 9 9 9 9 9 8 8 9 9 9 8 7 5 2 1 1 1 2 3 4 5 6 7 8 10 13 15 17 17 16 16 15 16 17 18 19 21 23 24 24 24 25 26 27 24 20 16 13 12 11 12 13 13 11 10 8 7 7 9 11 13 14 14 14 13 12 11 11 9 7 5 4 5 7 8 9 9 8 7 7 7 9 11 13 14 15 15 15 16 15 14 12 11 10 9 9 9 9 9 10 9 9 8 8 8 9 9 10 10 10 10 10 11 10 7 4 4 4 7 9 9 9 9 9 9 10 10 11 nan
nan 9 9 9 9 9 9 9 10 10 11 10 10 9 9 9 8 8 9 9 9 7 3 0 -1 -2 -1 1 4 7 10 11 12 12 13 17 25 32 34 31 23 15 12 11 10 10 10 10 10 10 9 9 9 8 8 7 8 8 8 8 8 9 9 9 9 9 9 9 8 6 1 -4 -6 -5 -3 1 4 6 7 8 9 10 11 13 15 16 15 14 13 13 12 12 13 14 16 17 17 18 18 19 19 18 16 13 11 10 10 11 11 11 10 9 8 8 8 9 10 11 12 11 10 10 9 9 9 10 9 9 8 8 9 10 10 10 10 11 11 12 14 16 17 19 19 17 16 15 14 13 12 11 10 9 8 8 7 7 8 8 9 9 9 8 9 9 10 10 10 10 10 10 10 9 9 9 10 11 12 10 9 9 9 9 9 10 10 11 nan
nan 10 9 9 9 9 9 9 10 10 11 10 10 9 9 9 9 9 9 9 9 5 2 -1 -2 -2 0 2 5 7 10 12 12 13 15 21 30 35 34 28 18 13 11 10 10 10 10 10 10 10 10 9 8 8 8 7 7 7 7 8 8 8 8 9 9 10 10 10 9 6 -2 -8 -9 -7 -2 3 6 8 9 10 11 12 13 15 16 16 15 14 13 12 10 10 10 11 11 10 8 6 5 4 5 5 5 5 6 7 7 8 8 8 7 6 6 5 4 4 4 5 5 4 5 6 7 8 10 11 13 14 14 14 14 14 14 14 14 15 17 19 19 19 19 18 18 17 15 13 11 11 11 10 10 9 8 7 7 8 8 9 9 10 9 9 9 9 10 11 11 11 11 11 10 10 11 13 14 14 13 11 10 9 9 9 10 10 11 11 nan
nan 10 10 9 10 10 9 10 10 10 10 10 10 10 9 9 9 8 8 9 9 6 2 -1 -2 -1 1 3 5 7 10 12 13 15 19 28 35 35 31 23 16 13 11 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 3 -4 -7 -8 -5 -0 4 7 10 11 12 12 13 14 15 15 15 14 13 12 10 9 9 10 9 7 3 -1 -6 -8 -7 -6 -4 -2 -1 -0 0 1 2 3 3 2 -0 -3 -5 -6 -6 -5 -5 -4 -3 0 4 7 10 13 15 16 17 18 18 18 18 18 18 18 19 19 19 17 15 14 13 13 12 11 10 10 10 10 10 10 9 9 8 9 9 9 10 10 10 10 9 9 9 10 10 11 11 11 10 10 10 11 12 13 15 14 13 12 11 10 10 10 11 11 12 nan
nan 10 10 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 9 10 10 7 4 1 -0 0 2 3 5 7 10 12 14 17 23 32 35 31 24 18 14 12 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 10 10 10 10 7 0 -5 -6 -6 -3 3 7 10 12 13 12 13 14 15 15 15 14 12 11 10 9 9 9 9 7 5 2 -2 -4 -5 -5 -5 -5 -4 -5 -6 -5 -4 -2 -2 -3 -5 -7 -8 -9 -8 -7 -6 -7 -7 -6 -3 2 5 8 11 13 14 15 16 17 17 17 17 18 18 18 16 14 11 10 9 9 9 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 11 13 15 16 15 14 12 11 11 11 11 12 12 nan
nan 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 9 9 9 9 6 3 1 1 2 3 4 7 11 12 14 18 26 32 31 25 19 15 13 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 10 9 8 7 6 6 7 8 9 9 10 9 5 -2 -5 -7 -5 1 5 8 11 14 15 14 14 15 15 15 13 11 10 9 9 9 9 9 9 9 9 10 9 9 8 5 3 2 0 -1 -2 -2 -0 0 -1 -3 -4 -4 -3 -1 0 2 2 1 0 -0 1 3 3 3 3 5 9 13 15 14 14 14 14 14 14 13 11 10 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 13 15 16 17 16 14 12 11 11 12 12 12 nan
nan 9 9 9 10 10 10 10 10 9 9 10 10 9 9 9 9 9 8 8 9 9 6 3 1 1 1 2 4 8 11 12 15 18 27 31 28 22 17 13 12 11 12 12 12 11 11 11 11 11 10 10 10 11 11 11 9 6 2 -0 -0 1 4 6 8 9 9 8 3 -3 -6 -7 -3 3 5 8 12 16 18 17 16 16 15 14 12 10 10 10 9 9 8 9 10 12 15 18 18 18 16 14 11 9 8 7 7 8 9 8 6 5 5 5 6 7 8 8 8 9 9 9 9 7 5 3 3 8 13 16 16 13 12 11 11 11 10 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 13 14 16 17 17 15 13 12 12 13 13 13 nan
nan 10 10 10 11 11 10 10 10 9 10 10 10 9 9 9 9 9 8 8 9 9 7 4 2 0 1 2 4 7 10 12 14 18 26 29 26 21 16 13 12 12 12 12 11 11 10 10 11 11 11 11 10 11 11 9 6 1 -5 -7 -6 -3 2 6 8 9 9 7 1 -4 -7 -6 -1 3 5 9 14 20 21 20 18 17 15 14 12 11 11 10 9 8 8 9 10 13 16 17 18 18 18 17 15 14 14 13 13 14 15 15 14 13 12 11 11 11 11 12 13 15 16 15 13 11 9 9 12 17 19 18 15 12 10 9 9 10 10 9 9 9 9 10 10 10 10 10 10 9 9 10 10 11 12 12 12 11 10 9 9 10 10 10 10 10 10 10 10 11 11 12 12 12 13 13 13 13 13 13 15 17 18 17 16 16 17 17 16 15 nan
nan 10 10 11 11 11 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 7 5 2 -0 -0 1 3 7 9 11 12 18 25 27 25 22 16 13 12 12 11 11 10 10 10 11 12 13 13 12 11 10 10 9 6 1 -3 -5 -4 -1 4 8 9 9 9 5 -1 -6 -7 -4 0 3 6 10 17 22 22 21 19 17 15 14 13 12 11 10 8 8 8 10 12 14 14 13 13 14 15 15 16 17 18 19 19 20 21 20 19 17 15 14 14 15 17 19 22 23 22 18 15 13 12 14 17 19 19 16 11 9 8 7 8 10 10 10 10 10 10 10 11 10 10 10 9 9 9 10 11 12 13 13 11 10 9 9 9 9 10 10 10 10 10 10 11 11 11 12 13 13 14 14 13 13 13 13 14 16 17 19 22 25 26 25 23 20 nan
nan 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 6 2 -1 -1 -0 2 6 9 10 12 16 22 25 26 24 17 13 12 11 11 10 10 10 10 11 12 13 13 12 11 10 10 10 9 6 5 5 4 5 7 8 7 6 4 -1 -6 -8 -6 -2 2 5 7 12 18 21 21 20 17 15 14 13 12 11 10 9 9 8 9 11 13 14 13 11 10 10 10 11 14 17 19 21 22 23 23 22 21 19 19 19 21 24 27 29 29 28 23 18 15 13 13 15 17 19 19 16 12 10 9 10 11 12 11 10 10 10 11 11 10 10 10 9 8 9 10 11 12 13 13 12 10 9 8 8 9 9 10 10 10 10 10 10 11 11 12 12 13 14 14 14 13 13 12 12 12 13 15 20 24 28 28 28 28 29 nan
nan 10 10 9 9 10 10 10 9 9 9 10 10 11 11 10 10 10 9 9 9 9 9 7 2 -1 -3 -2 1 5 8 10 11 14 19 23 27 25 18 14 12 11 10 10 10 10 10 10 11 11 12 11 11 10 10 10 10 11 12 12 10 8 8 5 3 0 -3 -7 -9 -7 -3 2 5 7 9 14 19 21 21 18 14 13 12 11 10 10 9 9 9 9 11 13 14 13 12 9 8 7 8 9 11 13 15 17 18 19 19 19 18 19 20 22 26 29 30 29 28 25 19 16 14 13 15 18 22 25 24 20 16 14 13 14 14 13 11 10 10 10 10 10 9 9 9 8 8 9 10 11 11 12 12 11 10 9 8 8 9 10 10 10 10 10 10 10 10 11 12 12 12 12 13 13 12 12 11 11 10 10 13 16 19 21 22 24 27 31 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
163 162 163 166 167 169 187 209 223 202 172 151 146 153 163 172 184 195 198 183 159 136 116 98 77 52 32 16 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 7 15 18 23 55 127 214 343 520 689 848 991 1073 1112 1159 1206 1236 1208 1158 1089 996 884 775 685 609 548 538 565 602 643 684 720 717 698 711 690 660 630 614 616 619 645 683 725 767 822 908 984 981 988 1047 1086 1135 1140 1084 1005 943 912 941 958 968 946 894 797 662 595 609 608 578 545 528 518 484 428 373 348 390 498 647 797 920 1000 1007 987 954 903 837 756 662 569 495 434 381 333 295 270 252 242 238 219 205
186 190 195 199 198 196 214 223 230 216 196 185 184 192 198 194 175 154 133 112 93 77 64 51 35 18 7 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 6 11 10 11 21 52 113 224 393 613 836 1019 1130 1185 1230 1279 1354 1350 1307 1237 1125 972 820 701 584 528 500 497 517 538 545 586 594 584 580 569 544 515 490 492 498 513 537 571 604 651 731 828 880 877 955 1021 1096 1149 1155 1124 1048 979 990 991 979 971 980 968 832 741 703 673 635 598 577 562 552 526 465 402 390 440 541 679 836 945 995 1019 1018 991 945 877 793 703 616 536 470 415 367 328 298 277 266 249 234
212 213 211 206 200 200 215 221 223 217 212 211 215 218 208 175 134 99 72 55 44 34 26 21 13 6 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 2 11 14 13 16 21 30 52 93 192 404 681 945 1144 1248 1306 1270 1367 1387 1355 1290 1175 1005 831 698 594 520 470 445 442 444 419 441 415 409 413 407 396 383 365 356 348 369 399 433 466 497 551 628 707 729 804 889 977 1076 1138 1181 1134 1094 1079 1072 1059 1033 1042 1021 946 866 799 761 732 688 650 627 618 611 564 496 442 423 451 553 699 833 940 1005 1034 1037 1015 968 905 829 742 653 575 510 450 402 364 333 307 285 266
228 231 227 215 207 216 229 231 230 227 224 221 215 196 165 126 91 62 40 25 14 8 5 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 0 0 0 0 0 0 0 0 0 0 0 0 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 10 16 18 19 20 24 29 40 54 87 237 501 804 1057 1225 1310 1302 1309 1310 1285 1230 1139 989 821 679 571 486 428 396 380 389 370 355 335 331 328 321 315 302 296 292 299 306 323 353 389 420 441 469 500 576 658 716 793 945 1050 1143 1197 1200 1176 1165 1181 1136 1113 1078 1031 973 915 873 838 793 746 701 677 669 645 592 523 458 417 475 579 705 829 932 996 1028 1036 1024 990 935 859 772 690 614 544 488 442 401 364 333 311
236 246 250 244 236 242 246 242 242 233 218 201 177 143 109 87 68 48 24 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 8 15 20 26 30 23 34 35 42 65 107 194 344 552 862 1028 1139 1189 1186 1160 1157 1117 1051 944 815 673 537 431 369 339 316 323 319 306 308 312 303 290 278 264 275 272 265 273 299 328 366 408 410 417 455 509 544 561 608 774 910 1037 1145 1207 1224 1211 1252 1232 1192 1141 1106 1064 1012 976 956 909 842 776 741 724 706 675 616 538 475 460 500 585 698 814 913 978 1023 1040 1031 995 941 880 805 724 650 586 529 478 433 393 367
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