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 8 8 9 9 10 10 10 10 10 11 11 11 11 10 9 9 9 9 10 11 11 12 13 13 12 12 11 11 11 11 10 9 8 7 7 8 8 8 7 6 6 7 9 9 8 8 7 6 6 6 6 6 6 6 7 7 6 5 5 6 7 8 8 8 8 8 8 8 8 8 9 9 10 11 12 13 12 11 9 8 7 7 9 10 10 9 8 8 9 9 8 7 6 6 5 4 5 7 8 9 9 8 7 6 6 6 6 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 6 6 6 7 8 8 7 5 6 7 7 6 6 6 8 8 7 5 4 5 5 5 6 7 8 9 9 9 8 7 6 6 5 5 6 7 6 6 8 9 8 8 8 9 9 9 9 8 8 8 8 7 7 7 8 8 7 7 nan
nan 7 7 7 9 9 10 10 10 10 10 10 10 11 11 12 11 10 9 8 7 8 9 10 11 11 12 12 12 12 12 11 12 12 12 10 8 8 8 7 8 8 8 7 7 7 8 9 9 8 7 6 6 6 6 6 5 5 5 6 6 5 5 6 7 7 8 8 8 8 8 8 8 8 9 10 11 11 11 11 12 12 10 9 8 8 10 10 10 8 8 8 9 9 7 6 6 7 6 5 6 8 8 8 8 8 8 8 7 6 6 6 7 8 8 8 9 10 9 9 9 9 9 8 8 8 7 7 6 5 6 6 8 8 7 7 8 9 8 7 6 6 7 8 7 6 6 6 6 5 5 6 7 8 8 9 9 9 8 7 6 5 6 5 4 5 7 9 9 8 8 9 9 9 8 9 9 8 7 7 7 8 9 8 8 8 nan
nan 7 7 8 9 10 10 10 10 10 10 10 10 10 11 11 11 10 9 8 7 8 9 10 10 10 11 12 12 12 12 11 12 12 12 12 10 9 8 7 7 7 8 8 8 8 8 8 10 10 9 8 7 7 6 6 5 5 5 6 6 6 5 6 7 8 8 9 8 8 9 9 9 9 9 10 11 11 10 10 11 11 11 10 9 9 10 10 9 8 8 9 9 9 7 6 6 7 7 6 8 8 8 7 7 8 9 9 8 7 5 5 7 7 7 8 9 9 9 9 9 9 8 8 7 7 6 6 5 5 5 5 6 7 8 9 10 11 10 8 7 6 7 7 7 7 7 8 7 6 6 6 7 7 7 8 8 9 8 7 6 5 5 4 4 5 7 8 9 8 8 8 8 8 8 9 9 8 6 6 7 8 9 9 9 9 nan
nan 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 9 9 10 11 12 12 11 11 11 11 13 14 13 10 8 7 7 6 6 7 8 8 7 7 9 10 10 9 9 9 8 6 6 6 6 6 6 6 5 5 6 8 9 9 9 9 10 10 10 10 10 10 11 10 10 10 10 11 11 10 9 9 10 10 9 9 8 8 9 9 8 6 6 6 7 8 9 9 8 6 7 8 10 10 9 7 6 5 6 7 7 7 8 8 8 9 9 9 7 7 7 7 6 5 5 5 5 5 5 5 7 8 10 11 11 9 8 7 6 6 7 8 8 8 8 7 8 8 8 7 6 6 7 7 7 6 6 6 5 4 4 5 6 8 9 9 9 8 8 8 8 8 9 8 7 6 7 7 9 9 10 10 nan
nan 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 10 12 12 12 11 11 11 10 12 14 14 13 10 8 7 5 5 6 8 8 7 6 7 9 9 9 9 9 9 8 7 7 7 7 7 7 6 5 6 7 9 10 10 10 11 10 10 11 11 11 11 10 10 10 11 11 11 9 8 8 9 10 10 9 8 8 8 8 7 6 6 6 7 8 9 8 7 6 7 9 9 9 9 9 7 6 5 6 6 6 6 6 7 8 8 7 6 6 6 7 6 6 6 7 7 6 5 4 4 6 8 9 9 8 7 7 6 6 7 8 9 8 7 7 8 9 9 8 6 7 7 7 6 6 7 7 6 5 4 4 5 6 8 9 9 9 9 8 8 8 9 8 7 6 6 7 9 11 12 11 nan
nan 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 7 8 9 11 12 11 11 10 9 9 10 13 14 14 12 10 7 5 4 5 7 7 7 7 7 8 9 8 7 8 10 10 9 9 9 8 8 8 8 7 7 7 9 10 12 12 11 10 10 10 10 11 11 10 10 10 11 11 10 9 8 9 9 9 9 9 8 8 7 7 6 6 6 7 8 9 8 8 7 7 7 8 8 9 10 10 8 6 5 5 6 6 6 6 7 8 8 6 5 5 6 6 6 6 7 8 8 7 6 5 4 4 6 7 7 6 6 7 7 7 7 8 8 7 7 6 7 8 9 9 8 9 9 9 8 7 8 8 8 6 4 3 4 5 7 8 9 9 9 8 8 8 8 8 7 5 5 7 10 12 12 11 nan
nan 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 9 8 8 7 8 9 10 11 11 10 10 9 8 9 11 13 14 13 12 9 6 5 5 5 6 7 8 8 8 9 8 7 7 9 11 11 11 11 11 10 10 10 10 9 9 10 11 13 12 11 9 9 9 9 10 10 10 9 9 10 10 9 9 9 10 9 9 9 9 8 8 7 6 6 5 6 8 9 9 8 8 8 7 6 7 8 9 10 10 9 7 5 5 5 6 6 7 8 9 8 7 5 4 5 6 6 6 7 7 7 7 6 6 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 6 7 9 10 11 11 10 8 8 9 10 9 7 5 4 4 5 6 7 7 7 7 8 9 9 9 8 7 6 6 7 10 12 12 10 nan
nan 8 8 9 9 9 9 8 8 8 8 9 9 10 11 11 11 11 11 10 9 9 8 8 8 8 9 9 9 10 10 11 11 10 9 9 11 13 14 13 11 9 8 6 5 5 7 8 8 8 9 9 8 8 9 11 12 12 13 13 13 12 13 13 12 11 11 12 12 12 10 8 8 8 8 9 9 8 8 8 9 9 9 10 10 10 10 9 9 9 9 8 8 7 6 6 6 8 8 8 8 8 7 7 6 7 9 10 11 10 9 7 5 4 5 6 7 8 9 9 8 8 6 4 5 6 7 7 7 7 8 7 6 5 5 5 6 7 6 6 6 6 6 6 6 6 6 7 8 7 7 7 7 8 9 10 10 9 8 7 8 10 10 9 7 5 5 5 6 6 6 5 6 7 9 9 8 7 7 6 7 8 9 10 10 9 nan
nan 8 8 8 9 9 9 9 8 8 8 9 10 11 11 11 11 11 10 10 9 9 8 8 9 9 10 10 9 9 10 11 13 12 11 9 9 11 13 14 14 12 11 9 7 6 7 8 8 7 8 9 9 10 10 11 11 11 12 13 13 12 13 13 12 12 12 12 12 11 9 8 7 7 7 8 7 7 7 7 8 8 9 11 11 11 10 10 9 9 9 8 8 8 7 6 6 7 8 8 8 8 7 7 7 9 10 10 10 9 8 6 5 4 5 6 7 8 8 9 9 9 7 5 5 6 6 6 7 8 8 7 6 4 4 6 7 8 7 6 6 5 5 5 6 7 8 8 9 9 9 9 8 6 7 8 9 8 7 7 9 10 11 11 9 7 5 5 6 6 6 6 6 7 8 8 7 6 6 7 7 8 8 9 9 8 nan
nan 8 8 9 9 9 9 9 9 8 8 9 9 10 11 11 10 10 10 9 9 8 8 9 9 10 10 10 10 10 10 10 12 13 12 10 8 9 10 11 13 13 13 11 9 9 9 9 8 7 7 7 8 9 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 10 9 7 6 6 6 6 7 7 7 7 8 9 11 12 12 11 11 11 10 9 9 9 9 9 8 7 6 6 7 8 8 8 7 7 8 10 10 10 9 8 7 5 4 4 5 6 7 8 8 9 10 10 8 7 6 6 6 6 6 7 8 7 5 5 5 7 9 9 7 6 6 5 5 5 6 8 9 10 10 10 11 11 9 7 6 7 8 9 8 9 10 11 12 11 9 6 4 5 6 6 7 7 7 7 7 7 6 6 6 6 7 8 8 8 8 7 nan
nan 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 9 10 10 11 11 11 11 10 9 10 11 13 12 10 8 7 8 9 11 11 11 11 11 11 11 9 7 6 6 6 8 9 9 8 7 6 6 7 7 7 7 7 7 8 9 9 9 9 8 7 7 6 6 6 7 7 8 9 10 12 12 12 12 11 11 10 9 9 9 9 9 8 7 6 6 7 8 8 8 8 8 8 9 9 9 9 8 6 4 3 4 5 6 7 8 9 10 11 10 9 7 6 6 6 6 6 6 6 6 5 5 7 10 12 11 9 7 6 5 5 5 6 8 9 10 10 11 12 11 10 10 9 9 10 11 11 11 11 11 10 10 8 6 4 4 5 6 7 8 8 8 7 7 7 6 6 7 8 8 8 7 7 7 nan
nan 12 12 11 11 11 11 10 10 9 9 9 9 9 10 10 11 11 10 9 9 8 9 9 10 11 11 11 11 11 10 9 9 10 12 13 12 10 8 7 7 8 9 10 11 12 12 12 10 7 5 5 6 7 9 10 9 7 5 4 4 5 5 5 5 5 6 6 8 8 9 10 10 9 8 7 6 7 8 9 10 11 11 12 12 12 12 11 10 9 9 9 9 9 9 8 7 7 7 8 8 8 8 7 8 8 9 9 9 8 5 3 3 4 5 6 7 8 9 10 11 10 9 7 6 5 5 6 6 6 6 6 6 6 8 11 12 12 11 8 6 5 5 5 6 6 7 7 8 10 11 11 11 11 12 13 13 13 13 13 12 10 9 8 8 7 6 5 5 5 6 7 7 7 8 8 7 7 8 9 9 9 9 8 7 7 nan
nan 12 13 12 12 12 11 10 10 10 10 10 9 9 10 11 11 11 11 10 9 9 9 10 10 10 10 10 11 11 10 10 9 8 10 12 13 12 10 9 8 9 9 10 11 12 12 12 10 7 5 5 6 7 8 10 10 8 6 4 3 4 5 5 5 4 5 6 6 8 9 10 11 11 11 10 9 9 9 10 11 11 11 12 13 13 12 11 11 10 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 9 9 9 8 6 4 4 4 5 7 8 9 10 10 10 9 8 8 7 6 5 6 6 6 6 7 7 8 8 9 11 11 10 8 6 6 5 5 5 5 5 5 5 7 9 10 11 11 13 14 15 14 14 14 13 11 9 9 9 9 9 7 6 5 5 6 6 7 8 8 8 8 9 10 10 10 10 9 8 8 nan
nan 11 12 12 12 12 11 11 11 11 10 10 9 9 9 10 11 12 11 10 9 9 9 9 9 10 10 10 10 10 10 9 8 8 9 12 14 14 12 11 10 9 9 10 11 12 12 11 9 7 5 5 6 6 7 9 11 10 7 5 4 5 6 6 6 5 6 6 6 7 8 10 11 12 11 11 11 10 11 11 11 11 11 11 12 13 12 12 12 11 10 9 9 9 9 8 7 7 7 8 8 8 8 8 8 8 9 9 9 8 7 6 5 4 5 7 8 9 10 10 8 7 7 8 8 7 6 7 7 7 7 7 8 9 9 9 9 9 8 7 7 7 6 5 5 5 5 4 4 5 7 8 9 9 10 11 12 13 14 15 15 13 11 10 11 11 11 10 8 7 5 5 5 6 7 8 8 8 9 10 10 10 10 9 9 8 nan
nan 9 10 11 12 12 12 12 11 11 10 9 9 8 8 9 11 11 11 10 10 10 9 9 9 9 9 10 11 11 11 10 9 8 9 11 14 14 13 11 10 9 8 10 11 13 13 11 10 7 5 5 6 6 7 9 10 10 8 6 5 6 7 8 7 7 7 7 7 7 7 8 9 10 10 11 12 12 12 12 11 11 10 9 10 12 13 13 12 11 10 10 10 10 9 8 7 7 7 7 8 9 9 8 8 8 9 9 9 8 7 6 5 4 4 6 8 10 10 10 7 6 7 8 8 7 7 7 8 7 7 8 9 10 9 9 8 8 8 8 8 8 7 6 6 6 6 5 4 5 6 7 7 7 7 7 8 10 12 14 15 14 13 12 12 12 12 12 11 9 7 5 5 5 6 7 8 8 9 10 10 10 10 10 9 9 nan
nan 7 8 9 10 11 12 12 12 11 11 10 9 9 9 9 10 11 11 11 11 10 10 9 8 8 9 10 11 11 11 11 11 10 10 11 13 14 13 11 9 8 7 8 10 13 13 12 10 8 7 6 6 6 7 9 10 9 8 7 7 7 8 8 8 8 8 9 8 7 7 7 8 9 10 10 11 12 13 13 12 11 9 9 9 11 13 14 13 11 10 10 10 10 9 8 7 7 7 7 7 8 9 8 8 8 8 9 9 8 8 6 5 3 3 5 8 10 11 10 8 7 8 8 8 7 7 7 7 7 6 7 8 9 9 8 6 7 8 9 10 10 8 6 6 6 7 7 6 6 6 7 7 7 7 6 6 7 8 10 11 11 11 11 12 13 13 13 12 11 9 7 5 5 5 6 7 7 8 9 9 10 10 10 10 10 nan
nan 7 7 7 8 10 11 12 12 12 11 11 10 10 9 9 10 10 11 11 11 11 10 9 9 9 10 11 12 12 12 13 13 12 11 10 11 13 13 12 9 8 8 7 8 11 12 11 10 9 8 7 7 6 7 9 9 8 8 8 8 7 7 8 9 9 9 9 9 7 7 7 8 9 10 11 11 12 12 13 12 11 10 9 10 11 13 14 13 12 11 11 11 11 9 8 7 7 7 7 7 8 9 8 8 8 8 8 8 8 7 6 4 2 3 6 8 10 11 10 9 9 8 8 7 6 6 6 5 5 5 6 8 8 8 7 6 6 7 10 11 11 9 7 6 6 7 8 7 6 6 6 6 7 8 9 8 7 7 7 7 6 7 9 11 12 13 14 13 12 10 9 7 7 6 6 6 6 7 8 8 9 10 11 11 11 nan
nan 9 7 7 8 9 11 12 12 12 12 11 11 10 9 9 9 10 10 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 10 11 13 14 13 11 10 10 9 8 9 10 10 9 10 10 10 9 7 6 7 7 7 7 8 8 8 7 7 8 9 9 9 8 7 7 7 8 9 10 11 11 11 11 12 12 10 9 10 11 12 12 13 13 12 11 11 12 12 11 9 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 5 3 2 3 6 9 10 11 11 10 9 9 8 7 6 5 5 4 4 4 5 6 7 8 7 6 6 7 10 12 12 10 8 7 7 7 8 7 6 5 5 6 7 8 9 9 8 8 8 7 6 6 8 10 11 13 14 14 13 11 10 9 9 9 7 6 5 6 7 7 8 9 10 11 11 nan
nan 10 9 8 9 10 11 12 12 12 12 12 11 10 9 9 9 10 10 11 12 13 14 14 14 14 13 12 12 12 11 11 12 12 12 11 12 13 14 14 13 12 12 11 10 10 9 9 9 9 11 12 12 10 8 7 5 5 5 6 8 7 6 5 6 7 8 9 9 8 8 8 9 9 10 11 11 11 11 11 11 9 8 9 10 11 11 11 12 12 12 12 12 13 12 10 8 7 7 7 7 7 7 8 9 9 8 7 7 7 7 5 3 2 4 7 9 10 11 10 9 9 9 8 7 7 6 5 5 5 5 5 5 5 6 6 5 6 7 9 11 11 10 9 8 8 8 8 8 7 6 6 5 5 6 7 7 8 8 8 8 8 9 9 10 11 12 14 14 14 13 12 11 10 10 9 7 7 7 7 7 8 9 10 10 10 nan
nan 11 10 10 10 11 12 13 13 13 13 12 12 11 10 10 10 10 11 12 14 15 15 15 14 13 12 11 10 9 9 10 10 11 11 12 12 13 13 13 13 13 12 12 12 12 11 10 9 9 11 12 13 12 11 8 6 4 4 5 6 7 6 4 4 5 7 9 10 9 9 9 10 10 10 9 9 10 10 11 11 9 7 7 8 9 10 10 11 11 11 11 12 12 13 12 10 8 8 7 7 7 7 8 9 10 8 7 7 7 7 6 3 2 5 9 10 10 10 9 9 9 9 9 8 7 6 6 6 6 6 5 4 4 4 5 5 5 6 8 9 10 10 10 9 8 9 9 8 8 8 8 7 6 5 5 6 7 7 8 8 8 9 9 9 9 10 11 12 13 12 12 11 9 8 8 8 8 8 8 8 8 8 8 9 10 nan
nan 11 11 12 12 12 13 14 15 15 14 13 12 12 11 11 10 11 12 14 15 15 14 12 11 10 9 9 8 8 9 9 10 11 11 12 12 12 12 12 13 13 13 13 13 13 12 11 9 9 9 11 13 13 13 11 8 6 5 5 7 7 7 5 4 4 5 7 9 8 8 9 9 10 9 9 8 9 9 9 9 8 7 7 8 9 9 10 10 10 10 10 10 11 12 12 11 10 9 8 7 7 7 8 9 10 9 7 7 7 7 5 3 3 7 10 10 10 9 9 9 9 9 9 8 7 6 7 8 8 7 6 5 4 4 4 5 5 6 7 9 10 11 11 10 9 9 9 9 9 9 9 8 8 7 6 6 6 7 7 7 7 7 7 8 8 8 9 10 10 10 10 9 8 7 7 7 8 8 8 8 8 7 7 9 10 nan
nan 10 11 12 12 13 14 15 16 16 15 14 13 13 12 11 11 12 13 14 14 13 10 8 7 7 8 9 9 9 10 10 11 12 12 12 12 11 10 11 12 13 13 13 13 13 13 12 10 9 9 9 11 12 14 14 12 10 8 7 7 8 8 7 6 4 4 5 6 7 7 7 8 8 9 9 9 9 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 10 11 11 11 11 10 9 8 7 7 8 8 9 8 8 7 7 7 5 4 5 8 9 9 9 9 9 10 9 9 9 9 8 7 8 8 8 8 8 7 6 5 5 6 6 7 8 9 10 11 11 11 10 9 9 9 9 9 8 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 8 8 9 8 8 8 7 6 7 8 9 nan
nan 10 11 12 12 12 13 14 16 16 15 15 14 14 13 12 12 12 12 12 11 10 8 7 7 9 10 11 11 10 10 10 11 12 12 12 11 10 9 9 11 12 12 13 13 13 12 12 12 11 9 9 9 10 12 13 13 12 11 10 9 9 9 8 7 5 4 3 4 6 7 7 7 7 8 9 9 9 8 7 6 7 8 9 9 9 9 9 10 10 10 9 9 10 10 11 11 10 9 8 8 7 7 7 8 8 8 8 8 8 7 6 6 6 7 7 7 8 9 10 10 9 9 9 9 9 9 8 8 8 7 8 8 7 6 7 7 8 8 8 8 9 10 11 11 10 8 8 8 8 8 8 8 9 9 9 9 9 10 9 9 9 9 9 8 7 7 7 7 8 8 8 8 7 8 9 10 10 9 9 8 7 6 7 8 8 nan
nan 10 10 10 11 11 11 12 13 14 13 13 13 13 12 11 11 11 11 10 9 8 7 8 9 10 11 11 10 10 10 10 10 11 11 11 10 9 9 10 11 12 13 13 13 13 12 12 12 11 10 9 8 8 9 11 13 13 13 12 11 11 11 10 9 7 6 5 5 6 7 7 6 6 7 9 9 8 7 5 6 7 9 10 10 10 9 9 10 10 11 10 10 11 11 11 11 11 9 7 6 6 6 6 7 7 7 7 7 8 8 8 7 7 7 5 5 7 9 10 10 9 9 9 10 10 9 9 8 7 6 7 8 8 8 8 8 9 8 7 7 7 8 10 10 9 8 7 7 7 7 7 8 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 8 7 7 7 8 8 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 8 8 7 8 9 10 11 11 10 9 9 9 10 10 11 11 10 9 9 10 11 12 12 13 13 13 13 12 11 11 11 11 9 8 7 7 9 11 12 13 13 13 13 13 14 14 12 11 10 9 9 9 8 7 7 7 8 8 7 6 5 6 7 9 10 10 10 9 9 9 10 11 11 11 11 12 13 13 13 10 7 6 5 5 5 6 7 6 6 7 8 9 9 9 8 7 6 6 8 9 10 10 9 9 9 10 10 10 10 9 7 6 7 9 10 9 8 8 8 7 5 5 5 7 8 9 9 8 7 7 6 6 7 8 9 9 10 10 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 11 10 10 10 10 11 10 10 8 7 8 8 8 8 nan
nan 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 9 10 11 11 11 10 9 9 9 10 11 11 10 10 9 9 9 10 11 12 12 13 13 12 12 12 11 11 11 10 9 7 6 6 8 10 12 13 13 13 13 15 17 17 16 15 14 13 12 11 10 9 8 7 7 6 6 6 7 8 9 9 9 9 9 9 8 9 10 11 11 12 12 14 15 15 12 9 7 6 6 6 7 6 5 5 5 7 9 10 10 9 8 8 8 9 9 9 9 9 9 8 9 10 10 10 9 8 7 9 11 11 10 8 7 7 6 4 4 5 6 8 8 8 8 8 7 6 6 7 8 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 8 7 8 8 8 8 nan
nan 8 7 7 7 7 6 6 6 7 7 7 7 6 6 7 7 8 8 8 8 8 9 10 11 11 10 9 9 9 10 11 11 10 10 9 8 8 9 9 10 10 11 12 12 12 12 12 11 11 11 10 10 8 7 6 6 7 9 11 12 11 11 13 15 17 18 17 16 15 14 14 13 12 10 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 9 11 11 12 14 16 17 15 12 8 5 5 7 8 8 7 5 4 5 8 10 11 10 9 9 9 10 10 10 10 10 9 8 8 9 10 11 10 9 8 9 10 10 8 7 8 8 7 6 6 7 8 8 8 8 9 9 8 7 6 7 8 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 8 8 nan
nan 8 7 7 7 7 7 6 6 7 7 8 8 7 7 8 8 9 9 9 9 9 10 11 11 11 10 9 9 9 10 10 10 10 9 8 8 7 7 8 9 9 11 12 12 12 12 12 11 11 11 11 10 10 9 7 7 7 8 10 11 11 10 11 12 14 15 16 14 13 14 14 15 14 10 7 7 8 9 10 10 10 9 9 8 8 8 8 8 8 8 8 9 10 11 12 15 16 17 14 9 6 5 6 8 9 8 7 5 4 6 9 10 10 10 9 10 11 11 11 11 10 9 9 9 9 10 11 11 10 9 9 8 7 6 7 8 9 9 9 10 10 10 9 8 9 10 10 9 8 8 8 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 9 8 7 7 7 7 nan
nan 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 11 10 10 10 10 10 11 10 10 9 9 8 8 7 7 7 8 9 10 11 12 12 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 11 11 11 12 12 12 13 12 11 12 13 15 14 10 8 8 9 10 10 10 10 9 8 8 8 9 9 8 8 8 8 8 9 9 11 13 15 16 14 11 9 7 7 7 8 9 8 7 6 6 8 10 10 10 9 10 11 12 13 12 12 11 11 11 10 11 11 11 11 9 7 6 5 6 7 9 9 9 8 9 11 10 9 9 9 10 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 nan
nan 8 7 7 7 7 7 8 8 8 9 9 8 8 8 8 9 10 11 11 11 11 10 10 10 10 10 10 10 11 12 11 10 9 8 8 8 7 7 7 7 8 9 10 10 10 10 10 10 10 11 11 11 11 11 12 12 11 11 11 11 12 12 12 11 11 10 11 10 10 11 12 14 13 10 9 9 9 9 10 10 10 9 8 8 8 9 9 9 9 9 9 8 8 9 11 14 16 16 14 12 10 9 8 7 8 8 9 9 9 9 10 11 11 10 10 10 11 12 13 13 12 12 12 11 11 11 12 12 11 9 7 6 6 8 10 10 9 8 7 8 9 9 9 9 9 9 10 11 11 11 10 9 8 8 8 9 9 9 9 9 9 10 10 9 9 9 9 8 8 8 9 9 9 9 9 8 7 7 6 7 7 8 8 8 9 nan
nan 8 7 7 7 7 8 9 9 9 9 9 8 8 8 8 9 11 12 12 12 11 10 10 9 9 9 9 10 11 13 12 11 9 8 8 8 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 10 10 11 12 12 13 13 13 13 13 13 12 10 10 10 11 11 10 10 11 12 12 10 10 10 9 9 9 10 9 8 7 7 8 8 8 9 9 9 10 9 9 10 12 15 17 16 14 12 11 11 9 8 7 7 8 10 10 11 12 12 12 11 11 11 11 11 12 13 12 12 11 10 10 10 11 12 11 10 9 8 9 11 12 11 9 8 9 9 9 9 9 8 8 8 9 10 11 11 10 10 9 9 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 7 6 6 6 7 8 9 9 9 nan
nan 8 8 7 7 8 9 9 10 10 10 10 9 8 8 8 9 11 12 13 12 11 10 9 9 8 9 9 10 11 13 13 12 11 9 8 8 8 7 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 11 12 12 13 13 13 13 12 10 9 9 11 11 11 10 10 10 11 11 11 12 12 11 9 9 9 8 8 7 7 7 7 8 9 9 10 10 11 11 11 13 15 16 15 14 13 13 12 10 9 8 8 9 10 11 11 12 13 13 13 13 12 11 11 11 11 11 11 11 10 9 9 10 11 11 11 11 12 12 13 13 11 10 10 10 11 10 9 8 8 7 7 8 8 9 10 10 10 10 9 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 8 7 7 6 7 8 9 9 9 nan
nan 8 7 7 7 8 9 10 10 11 11 11 10 9 8 8 9 11 12 13 13 12 10 9 8 8 8 9 9 10 11 13 13 12 11 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 10 10 11 11 11 12 12 12 11 10 9 9 9 10 11 10 9 8 9 10 11 12 12 13 12 11 9 8 8 8 8 8 7 6 8 9 10 10 11 11 13 14 13 13 13 14 13 13 12 12 11 10 9 9 10 11 12 12 13 13 14 14 14 13 11 10 10 10 10 10 9 9 9 9 9 10 11 12 13 13 12 12 12 10 10 10 10 9 9 8 8 7 7 6 7 7 7 8 9 10 10 9 8 8 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 7 7 8 8 8 8 nan
nan 8 7 7 7 8 9 10 10 11 11 11 10 9 8 8 9 10 12 12 12 11 10 9 7 7 8 9 9 9 9 10 12 12 12 11 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 13 13 13 12 12 11 11 11 10 10 10 9 9 9 9 9 9 9 8 8 8 9 10 11 12 13 13 11 10 9 8 9 9 9 8 7 8 9 9 9 10 11 13 14 13 11 11 12 12 11 11 12 11 10 10 10 11 12 13 14 13 14 14 15 15 15 13 10 9 8 8 8 8 8 8 8 8 10 11 12 12 11 10 10 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 7 7 8 8 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 7 7 7 nan
nan 8 7 7 7 8 9 9 10 11 11 11 10 9 8 8 9 10 11 12 13 12 11 9 8 8 9 10 10 9 8 8 10 12 13 12 11 10 9 10 10 10 10 9 9 9 10 10 11 12 13 14 14 14 13 12 11 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 10 11 12 12 11 10 9 9 9 10 10 10 10 9 9 8 8 9 12 13 13 12 10 10 10 11 11 11 12 12 11 11 11 12 12 14 14 14 14 14 14 15 15 13 11 9 8 9 8 8 7 6 7 9 10 11 11 10 8 8 8 9 9 8 7 6 7 7 8 8 8 7 7 7 7 7 7 8 9 9 9 8 8 8 8 8 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 7 7 nan
nan 9 9 9 9 9 9 9 10 10 11 11 10 10 9 9 10 10 12 12 12 12 11 10 10 9 10 10 11 11 9 8 9 11 13 13 12 11 10 10 10 10 10 10 9 9 9 9 10 11 12 13 13 13 13 12 11 11 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 9 10 10 10 10 9 9 9 9 10 11 12 12 11 9 8 8 10 12 13 13 12 11 11 11 12 12 12 13 13 12 12 11 11 11 12 12 13 13 13 13 14 14 12 11 10 10 11 9 7 6 5 7 10 11 9 8 7 7 7 8 9 9 8 6 6 8 8 9 9 9 8 7 7 7 7 7 7 9 9 9 8 8 8 8 8 9 9 9 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 7 7 nan
nan 10 10 11 11 11 10 9 9 10 10 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 11 12 12 11 9 9 10 12 13 13 12 11 11 11 10 10 10 10 10 9 8 7 8 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 10 11 12 12 11 9 8 8 10 12 13 13 13 13 13 13 13 13 12 13 14 13 12 11 11 11 11 11 11 11 12 12 13 12 11 10 10 12 12 9 7 6 7 9 12 11 8 6 6 7 8 8 9 8 7 6 7 7 8 9 10 9 8 8 7 7 7 7 7 8 8 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 10 10 11 11 10 9 8 8 7 nan
nan 10 11 11 12 12 11 10 10 10 10 10 10 10 10 10 10 11 10 9 9 11 12 12 11 10 10 11 12 13 12 10 9 9 11 12 13 13 12 12 11 11 11 11 11 10 9 7 6 5 6 7 8 9 9 9 9 10 9 9 10 10 10 10 9 10 10 10 10 10 11 11 11 11 10 10 9 9 9 8 7 8 9 9 10 10 10 10 9 9 10 11 13 14 14 14 14 14 14 13 12 12 13 14 13 12 11 11 10 10 10 10 10 11 12 11 11 10 10 11 12 11 9 7 7 9 12 13 10 7 6 6 8 9 8 7 6 6 6 7 8 9 9 10 10 9 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 8 nan
nan 9 10 11 11 11 10 10 10 9 9 9 9 9 10 10 10 9 8 8 10 12 13 13 12 10 9 9 10 11 11 10 9 9 9 10 11 12 12 12 11 11 11 11 10 10 9 8 7 6 5 5 6 7 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 11 12 12 13 13 13 13 12 12 10 9 8 8 8 9 10 10 10 10 10 10 10 12 13 14 15 15 14 14 13 12 11 11 11 13 12 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 10 9 8 10 12 11 9 6 6 7 9 9 8 7 6 6 7 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 10 11 11 11 10 10 10 9 nan
nan 8 9 10 11 11 10 9 9 9 9 9 9 9 10 10 9 8 7 8 10 12 13 13 12 11 10 9 9 9 9 8 8 8 9 9 9 9 9 10 11 11 11 11 10 10 10 10 9 8 6 6 6 7 7 7 8 9 9 9 9 9 9 9 9 9 9 10 10 10 11 12 13 13 14 14 14 14 13 12 12 12 12 12 13 13 13 13 13 12 11 12 13 14 14 14 13 12 12 11 11 10 11 12 12 11 11 10 10 10 9 9 9 9 10 10 11 11 10 9 10 11 11 10 10 10 10 9 7 6 6 7 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 10 10 10 9 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 10 nan
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nan 12 12 12 12 12 11 11 11 11 11 11 12 12 13 13 13 12 12 11 11 11 11 12 12 13 13 13 13 13 12 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 9 9 9 9 10 10 10 10 11 11 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 8 8 8 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 12 12 11 9 9 9 9 9 8 6 3 1 2 3 6 7 8 8 9 9 9 9 9 9 10 11 11 11 10 9 10 11 10 7 4 4 5 6 8 10 10 9 8 6 3 1 1 4 7 8 8 9 10 13 16 17 17 16 15 13 10 8 7 7 8 8 8 9 11 13 nan
nan 12 12 12 11 11 11 11 11 11 11 12 12 12 13 13 13 12 12 11 11 11 12 12 13 13 14 14 13 13 12 12 11 11 11 11 11 11 12 12 12 11 11 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 12 13 13 13 14 14 13 13 13 12 12 12 12 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 8 8 7 7 7 7 8 9 11 13 16 17 15 14 12 12 12 11 10 8 5 2 1 2 5 8 9 9 9 9 9 9 9 9 10 11 12 12 11 10 10 11 10 8 6 6 6 6 7 8 8 6 5 3 2 2 4 6 8 8 8 8 10 13 16 17 18 16 13 11 9 7 6 7 8 9 10 13 15 15 nan
nan 11 12 12 11 11 11 12 11 12 12 12 12 12 12 12 12 12 11 11 11 12 12 13 13 14 14 14 13 13 12 12 11 11 11 11 11 12 12 12 12 11 10 10 9 9 9 9 9 9 10 10 11 11 11 10 10 11 11 12 13 13 13 13 13 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 9 8 7 7 8 9 10 10 9 8 7 8 8 8 8 8 7 7 6 6 6 7 8 8 10 11 13 17 19 18 16 14 13 13 12 11 10 7 4 2 2 5 8 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 9 8 7 6 5 7 7 7 6 5 4 4 5 7 8 8 8 8 8 10 12 14 15 15 14 12 10 8 6 7 8 9 11 13 16 17 15 nan
nan 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 13 13 14 14 14 13 13 12 12 11 11 11 11 11 12 12 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 7 7 9 10 10 9 8 8 8 8 8 7 7 7 6 6 7 7 9 10 10 11 11 13 16 17 17 15 14 12 12 12 11 11 10 7 5 4 6 8 9 9 9 10 10 10 10 10 9 9 9 10 10 11 10 10 9 9 9 8 7 7 7 8 7 7 7 7 7 8 8 8 8 8 8 8 9 10 12 13 14 14 12 11 8 7 8 9 11 13 16 16 15 13 nan
nan 10 11 11 11 12 12 12 13 12 12 12 11 11 11 11 10 10 10 11 11 12 12 13 13 13 14 13 13 13 12 12 11 11 11 11 11 11 11 11 10 10 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 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 11 12 12 11 11 12 14 15 15 14 12 11 11 11 11 11 11 10 8 7 7 8 9 10 10 10 10 10 11 11 10 9 9 9 9 10 10 9 9 9 10 10 10 9 8 7 5 6 7 8 8 8 8 8 7 8 8 9 9 10 11 13 15 16 14 12 9 9 10 11 13 15 14 12 9 9 nan
nan 10 11 11 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 11 11 12 12 13 13 13 13 13 12 12 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 9 9 10 10 10 10 9 9 9 10 10 10 9 8 8 8 9 9 10 11 12 13 13 13 12 12 11 11 12 12 13 13 11 11 11 11 10 11 11 11 10 9 9 9 10 10 10 10 9 10 11 11 11 10 9 9 9 9 9 9 9 10 10 10 10 9 8 5 3 3 6 7 8 8 8 8 8 8 9 9 10 10 12 14 16 17 16 13 11 11 11 11 11 8 4 2 3 7 nan
nan 11 11 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 11 11 12 12 12 13 13 13 12 12 11 11 10 10 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 9 10 11 10 10 9 9 9 9 10 10 10 9 9 9 9 10 10 12 12 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 9 9 8 9 9 8 8 9 10 11 11 11 10 9 9 10 9 9 9 9 9 9 9 9 9 7 4 1 2 4 6 8 8 8 8 9 9 10 10 11 11 12 13 15 17 16 14 11 9 8 7 3 -1 -3 -1 6 11 nan
nan 12 12 13 13 12 12 12 12 12 12 12 11 11 10 10 11 11 11 11 11 12 12 13 13 13 13 12 11 11 10 10 10 10 10 10 10 9 9 9 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 8 9 9 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 11 12 13 13 14 15 16 16 16 14 11 10 10 11 11 11 11 10 10 9 9 8 8 8 8 7 7 8 10 11 11 11 11 10 10 10 9 9 8 9 9 9 8 9 8 6 2 -1 0 3 6 8 8 9 9 10 10 10 11 11 11 12 13 16 18 18 14 9 5 4 2 1 0 2 8 15 17 nan
nan 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 12 12 13 13 13 13 12 11 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 9 11 12 13 14 15 17 18 16 13 11 10 10 11 11 11 11 10 10 10 10 10 10 9 7 7 8 9 11 12 12 11 10 9 9 8 8 8 9 8 8 8 9 8 5 1 -1 0 4 7 8 8 9 9 10 10 11 11 12 12 12 14 17 19 19 13 7 3 2 3 5 7 11 16 19 20 nan
nan 11 11 12 12 12 12 12 12 11 11 11 10 9 9 10 10 10 10 11 11 12 13 13 13 13 13 12 11 11 10 10 10 10 10 9 9 8 8 8 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 10 10 10 9 9 9 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 9 10 11 10 9 10 13 14 14 12 11 10 10 10 11 11 11 11 11 11 12 12 11 9 8 8 10 13 14 13 11 10 8 8 8 9 9 9 9 9 10 10 8 4 0 -1 1 5 7 8 9 9 10 10 10 11 12 12 13 14 16 18 20 16 9 4 3 5 8 10 11 13 17 18 19 nan
nan 9 10 11 11 12 12 12 11 11 10 10 9 9 9 9 10 10 10 11 11 12 13 13 13 13 13 12 11 11 11 10 10 10 9 9 8 8 8 8 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 10 11 11 12 12 12 11 11 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 7 6 6 6 6 7 7 7 7 7 7 7 8 9 8 6 6 7 9 12 13 11 9 8 8 10 10 11 11 11 11 12 12 11 9 8 8 12 15 16 14 11 9 9 9 9 10 10 10 9 9 10 10 7 4 -0 -0 3 6 8 9 9 10 10 11 11 12 12 13 13 15 17 20 17 9 5 4 6 9 11 12 13 14 16 18 20 nan
nan 9 9 10 11 11 11 11 11 10 9 9 9 9 10 10 10 10 11 11 11 12 12 13 12 12 12 12 12 11 11 11 10 9 8 8 8 8 8 9 10 10 11 11 11 11 11 12 12 11 11 10 10 10 9 9 9 9 10 10 10 10 10 11 11 12 12 12 11 10 10 10 9 9 10 10 9 9 9 9 8 8 8 8 8 9 9 9 10 10 10 9 8 8 8 8 8 8 8 7 7 6 7 7 7 8 8 8 8 7 7 7 8 9 10 9 7 6 5 8 11 10 8 6 6 8 9 10 10 10 10 10 10 10 9 8 9 13 15 14 12 10 9 10 10 11 11 10 9 8 8 10 9 6 3 0 1 3 6 8 9 10 10 11 11 12 12 12 13 14 16 18 17 10 5 4 6 9 12 12 13 13 14 17 20 22 nan
nan 10 10 10 9 9 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 10 8 8 8 7 8 9 10 10 11 11 11 11 11 12 12 11 11 11 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 11 10 10 10 10 10 11 11 10 10 10 9 8 8 8 8 9 10 9 9 10 10 10 10 9 7 7 7 7 7 7 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 9 10 10 8 5 3 4 7 9 9 7 7 8 8 9 9 9 9 9 9 8 8 8 9 11 12 11 10 10 9 10 11 11 11 10 8 8 8 8 5 3 0 -1 1 4 7 9 10 10 10 11 12 12 12 12 12 13 14 15 11 5 4 6 9 12 13 13 13 14 16 19 22 21 nan
nan 11 11 11 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 12 12 11 10 9 8 7 7 8 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 9 9 10 10 10 11 11 11 11 12 12 12 12 11 11 10 9 8 8 8 9 10 11 11 10 10 11 12 12 11 9 7 7 7 7 7 7 7 8 8 9 9 9 10 9 9 9 8 8 8 8 8 9 10 10 8 5 2 1 4 6 8 8 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 9 8 7 5 2 -1 -2 -2 0 3 6 9 10 10 11 11 12 12 13 13 12 12 11 11 10 7 5 7 9 12 13 13 13 14 15 18 21 22 20 nan
nan 11 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 13 14 14 14 13 12 11 10 8 7 7 7 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 11 12 12 12 12 12 12 12 12 13 12 11 10 9 8 8 8 9 10 11 11 11 10 11 12 12 13 12 10 9 8 8 8 8 8 8 9 9 9 9 10 9 9 9 9 8 8 8 8 8 9 9 9 9 7 4 2 2 3 5 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 10 12 13 13 12 12 11 9 6 4 2 -1 -2 -2 -0 3 5 7 9 10 11 11 11 12 13 13 14 15 14 13 11 11 9 8 9 10 12 12 12 13 14 16 19 22 23 21 17 nan
nan 11 11 12 13 13 13 12 11 11 10 10 10 10 10 10 11 11 11 11 11 12 13 14 14 14 14 13 11 10 8 7 7 7 8 9 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 8 8 8 9 10 11 12 12 12 11 11 10 10 10 10 11 11 10 9 8 8 8 9 10 10 10 10 9 9 10 11 12 12 11 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 5 2 1 2 5 6 6 7 8 8 7 7 7 8 8 8 8 8 8 9 11 13 14 14 12 9 6 3 1 -1 -1 -1 1 3 6 9 10 10 10 10 11 12 12 13 15 16 18 19 17 15 13 12 11 10 10 11 11 12 13 14 17 20 22 22 20 16 12 nan
nan 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 10 10 10 10 11 11 12 13 14 14 14 13 11 9 8 7 8 8 9 11 12 13 13 13 12 12 11 11 11 11 10 10 10 10 9 9 8 8 8 8 7 8 8 10 11 11 11 11 10 10 9 8 8 8 8 9 10 10 10 9 8 8 8 9 10 10 10 9 8 8 9 10 11 11 10 10 10 10 10 10 11 11 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 9 7 3 1 1 3 4 5 6 7 7 7 7 8 8 8 8 9 9 9 9 10 12 12 12 10 5 2 0 0 2 3 5 7 9 11 12 12 11 11 11 13 14 16 17 19 20 21 20 17 13 11 9 8 7 9 10 11 12 13 16 20 22 21 19 15 11 9 nan
nan 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 12 13 14 14 12 11 10 9 9 10 10 11 12 12 12 12 12 11 11 10 10 10 10 9 9 8 7 7 7 7 8 8 8 9 10 10 11 10 9 9 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 10 10 11 10 9 9 9 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 11 10 9 7 5 4 4 4 5 6 6 5 5 6 8 9 9 9 9 9 9 10 11 11 12 12 10 6 5 6 7 9 11 12 13 14 14 14 13 12 13 15 17 18 19 19 19 18 17 14 10 8 6 4 4 6 9 11 12 13 16 20 22 21 18 14 11 9 9 nan
nan 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 12 12 11 11 12 13 14 14 13 12 11 10 10 10 11 10 10 10 10 10 11 10 10 10 9 9 9 8 7 7 6 6 7 7 8 9 10 10 10 10 10 9 8 8 7 7 8 9 11 12 12 12 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 11 10 10 10 9 7 6 7 8 6 5 4 7 10 10 10 9 9 10 11 12 13 15 16 16 14 12 12 13 14 15 16 16 16 16 15 13 12 11 13 15 15 15 14 14 12 10 7 7 7 7 6 6 8 11 13 14 15 17 20 22 21 17 14 11 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 12 12 11 10 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 6 6 7 7 8 9 10 10 11 11 10 10 9 9 8 7 7 7 8 10 11 12 12 12 12 11 11 11 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 10 9 9 9 10 10 10 10 9 10 10 10 10 10 10 10 10 9 8 7 6 8 11 11 11 9 9 11 13 15 17 18 18 17 15 15 15 16 17 17 17 16 15 14 12 9 7 8 11 12 11 10 10 10 9 7 8 11 13 15 13 13 15 16 17 17 18 19 19 18 16 13 11 11 10 10 10 nan
nan 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 10 10 10 10 10 10 10 9 8 8 8 9 9 9 9 10 10 10 10 10 9 9 8 7 7 6 6 7 8 9 10 10 11 11 10 10 10 10 10 9 8 8 7 7 7 8 10 10 11 11 12 13 12 12 11 11 11 11 11 12 11 11 11 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 10 9 9 9 10 10 10 9 9 9 9 9 9 10 11 11 10 10 9 9 10 11 12 11 10 10 12 14 16 17 17 15 13 12 13 14 14 15 15 15 13 11 10 9 8 8 11 13 14 14 14 14 14 14 14 16 19 20 19 17 16 15 15 15 15 16 15 14 13 11 10 10 11 11 10 9 nan
nan 9 10 10 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 10 10 10 11 11 11 10 9 9 8 8 8 8 9 9 10 11 11 11 10 9 9 8 8 9 9 9 9 9 8 7 8 9 9 10 10 10 11 13 13 12 11 11 11 11 11 12 12 12 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 9 8 8 9 10 10 10 10 10 9 9 8 9 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 13 14 13 11 10 10 11 12 12 12 12 11 10 10 11 12 14 14 16 18 19 19 18 17 17 17 18 19 19 18 15 14 13 12 12 12 12 11 11 10 10 10 10 11 11 11 10 7 nan
nan 9 10 11 11 11 11 10 10 10 10 10 9 9 9 9 8 8 8 9 9 10 10 11 12 11 11 11 10 10 10 10 10 10 11 11 11 12 12 11 10 10 9 9 9 10 11 11 11 11 10 9 9 8 7 7 7 8 9 10 10 11 10 10 10 10 10 10 9 9 10 11 12 12 12 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 8 8 8 8 9 10 10 10 10 9 8 8 8 9 9 10 11 11 12 11 11 11 11 11 11 11 11 11 11 11 10 9 9 10 11 11 11 10 10 11 11 12 14 15 15 15 16 17 17 16 15 14 14 15 15 14 14 12 12 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 9 7 nan
nan 9 10 11 12 12 11 11 10 10 10 10 9 9 9 8 8 8 8 9 9 10 11 11 11 11 10 9 9 9 10 10 10 11 11 11 11 11 11 10 9 9 9 9 10 11 11 11 11 10 8 7 7 7 7 9 9 9 9 10 11 11 11 11 11 11 11 10 9 9 10 11 12 12 11 10 9 9 9 9 9 10 10 10 10 10 11 12 13 12 11 10 10 10 11 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 8 7 7 8 8 9 9 9 8 8 7 7 7 7 8 10 11 12 12 11 11 10 10 11 11 10 10 10 10 10 9 7 7 8 9 11 11 11 12 13 14 13 12 11 11 11 12 12 12 12 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 nan
nan 9 11 12 12 12 11 11 11 10 10 9 9 9 9 8 8 8 9 9 10 10 11 11 10 9 9 8 8 9 10 10 10 10 10 10 10 10 9 8 8 9 9 10 10 10 10 10 9 8 7 6 7 8 9 11 11 11 10 10 10 10 10 10 11 10 10 10 9 9 9 10 11 11 11 9 9 9 10 11 12 12 11 9 9 9 11 14 16 17 16 15 14 15 15 13 11 9 8 8 8 8 8 8 7 8 9 9 9 8 7 6 6 7 8 8 8 8 7 5 5 5 6 7 8 10 11 12 12 12 11 11 10 10 9 9 9 10 10 9 7 5 5 8 10 13 13 13 14 14 13 11 10 9 9 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 nan
nan 10 11 12 12 11 11 11 11 10 10 10 10 9 9 9 8 9 9 9 10 10 10 10 9 9 8 8 8 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 8 7 6 6 7 8 10 11 11 11 11 11 10 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 12 14 17 19 19 17 15 14 12 12 14 15 17 18 19 19 19 18 17 16 14 12 10 10 10 10 9 9 8 9 9 9 8 7 7 7 7 7 8 7 6 5 4 4 6 7 9 10 10 11 12 12 13 12 12 10 9 7 7 8 9 9 8 5 5 7 11 14 17 17 16 15 14 12 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 9 8 8 8 9 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 10 9 8 7 6 6 7 8 10 11 11 11 11 11 11 10 9 8 8 8 9 9 10 10 9 9 9 9 9 8 8 9 11 12 14 15 18 20 22 22 22 20 17 15 13 12 13 15 16 17 17 17 17 18 17 16 16 15 15 13 11 10 9 8 8 7 8 8 8 8 7 7 7 6 5 5 6 7 9 10 10 11 11 11 12 12 12 11 10 8 8 8 9 10 9 9 7 9 12 15 19 20 20 18 15 13 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 nan
nan 10 10 11 11 11 10 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 9 9 8 8 8 9 9 9 9 9 10 10 11 11 12 12 13 13 12 11 10 9 8 7 6 6 6 8 9 10 11 11 10 10 10 10 10 9 8 8 8 8 9 9 10 9 10 10 10 9 8 8 9 10 10 9 8 9 12 15 18 21 22 21 18 16 13 12 11 11 12 12 13 14 15 16 17 18 18 17 16 15 13 12 10 8 7 8 8 8 8 8 7 6 6 6 6 7 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 13 16 19 21 21 19 17 14 12 11 10 10 10 11 10 10 10 10 10 9 9 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 nan
nan 9 9 10 10 10 10 10 10 11 10 10 10 10 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 9 9 9 9 10 10 11 12 13 13 13 13 12 10 9 8 7 6 6 6 7 8 9 10 11 11 10 10 9 9 9 9 9 8 8 8 9 10 10 11 11 10 10 10 9 9 9 10 10 8 5 3 2 3 6 10 15 17 18 18 16 13 12 10 10 10 11 11 12 12 13 14 14 15 16 16 15 14 13 10 8 7 7 7 8 7 7 7 7 7 8 9 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 13 13 14 15 17 20 20 18 16 14 12 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 11 37 107 177 220 255 284 309 341 372 429 527 644 774 912 1045 1157 1234 1275 1296 1301 1293 1274 1247 1209 1164 1117 1070 1023 977 936 898 860 818 773 726 676 627 583 552 536 529 522 515 509 507 504 491 464 418 355 276 181 78 26 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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