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 9 9 9 10 11 11 12 12 12 12 12 12 12 11 11 10 9 8 8 8 9 11 12 13 12 11 11 12 13 12 11 10 10 9 9 9 9 8 9 8 8 7 7 8 8 8 7 5 4 4 3 4 5 6 6 7 8 8 8 6 5 6 7 7 7 7 7 7 7 7 7 8 9 10 10 11 12 12 12 11 10 9 8 7 7 8 10 11 10 8 8 9 9 7 5 4 4 5 5 6 7 9 9 9 8 7 7 7 6 6 6 7 7 7 8 8 9 10 10 9 8 9 9 8 8 8 7 7 8 7 7 7 7 6 5 6 7 7 6 7 8 10 9 7 5 4 4 5 5 5 7 8 9 9 9 8 7 7 6 6 6 7 7 6 7 8 9 9 8 9 10 10 10 9 9 8 8 8 8 8 7 6 6 6 7 nan
nan 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 10 9 8 7 7 8 9 11 12 11 11 11 12 13 13 13 12 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 7 6 4 3 3 4 5 5 6 7 7 8 7 7 7 7 8 8 8 7 7 7 7 7 8 9 10 11 12 12 12 12 12 11 9 8 6 7 8 10 11 10 8 9 10 10 7 5 4 5 5 6 7 8 8 8 8 8 8 8 8 7 6 6 6 7 7 8 9 10 11 10 9 9 9 10 9 8 7 6 7 7 7 6 6 6 6 7 8 9 8 7 7 8 9 8 6 5 5 6 6 5 5 5 6 7 8 9 9 9 8 7 6 5 6 6 5 5 8 9 9 8 8 9 10 10 9 9 8 8 8 8 7 7 6 6 6 8 nan
nan 7 8 8 9 9 10 10 10 10 11 11 11 11 11 11 10 10 9 8 7 7 8 10 10 10 10 11 11 12 13 13 12 12 11 11 10 9 9 9 8 8 8 9 10 9 9 9 9 9 7 5 5 4 4 4 5 6 6 7 7 7 7 7 8 8 9 9 8 8 8 8 8 9 10 11 12 11 10 11 12 11 10 8 7 7 7 9 9 9 8 9 10 9 8 7 6 5 5 6 8 9 8 8 7 8 8 8 8 7 6 6 6 7 7 8 10 10 10 9 8 8 9 9 8 6 5 4 5 6 6 5 5 6 7 9 10 11 9 8 7 8 8 8 7 6 6 7 7 6 6 6 6 6 6 7 8 9 8 7 6 5 5 4 3 5 7 8 8 8 8 9 9 9 9 9 9 8 7 7 6 6 6 6 8 9 nan
nan 7 7 8 8 9 9 9 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 11 11 11 12 12 12 12 13 13 12 10 9 8 7 6 7 9 10 10 8 8 10 10 9 8 7 7 5 4 5 5 6 7 7 7 7 7 8 9 10 10 9 9 10 10 10 10 9 10 11 10 10 11 11 11 10 9 8 7 7 8 8 8 7 7 8 9 8 7 7 6 5 6 8 8 8 7 7 7 8 9 9 8 7 6 6 6 7 8 8 9 8 7 7 8 9 8 7 6 4 3 5 6 6 5 5 5 7 9 10 11 10 9 8 8 8 8 7 7 7 8 8 7 8 8 8 7 5 5 6 6 6 6 6 5 4 3 3 4 6 8 8 8 9 9 9 9 9 9 9 9 7 6 6 5 6 8 9 10 nan
nan 7 7 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 11 10 10 9 9 10 11 11 11 11 12 11 11 12 14 14 12 10 8 7 6 5 7 9 10 8 7 9 10 9 8 8 8 7 5 5 6 7 7 8 8 8 7 8 9 10 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 10 9 8 8 8 8 8 8 7 6 7 8 7 6 6 6 7 7 7 7 7 6 6 7 8 8 9 9 9 6 5 6 7 7 7 7 6 7 7 7 7 7 7 6 4 3 5 7 7 7 6 5 5 6 8 10 9 8 7 8 8 8 8 8 8 8 7 7 8 9 9 7 6 5 6 6 5 6 6 6 5 4 3 4 5 6 8 9 10 10 9 9 9 9 10 9 7 6 5 6 8 10 11 11 nan
nan 7 7 7 8 8 8 9 9 10 10 11 11 11 11 11 11 11 12 11 11 10 10 9 8 9 10 10 11 10 10 10 9 8 10 13 14 13 11 10 8 6 5 6 8 9 8 7 8 9 9 8 7 7 8 7 7 7 8 8 9 10 10 10 10 11 12 13 13 13 12 11 11 11 11 11 11 11 10 11 11 11 10 9 9 9 9 9 8 8 7 7 7 6 5 5 5 7 9 8 8 7 6 5 5 6 7 8 9 11 10 7 5 5 6 7 7 7 7 8 7 6 6 6 7 5 3 3 6 7 8 8 7 5 4 5 6 7 7 6 6 7 8 8 8 9 9 8 7 6 7 8 9 8 8 8 8 8 7 7 8 8 7 5 3 3 4 5 7 8 9 10 10 9 9 10 10 9 7 5 6 7 10 11 12 11 nan
nan 7 7 7 8 8 8 8 9 9 9 10 10 10 10 10 11 12 12 11 10 9 9 8 8 8 9 10 10 10 10 10 9 8 9 10 12 13 13 12 10 8 6 6 7 8 8 8 8 9 9 8 7 8 8 9 8 9 9 10 11 13 14 13 13 13 14 15 16 14 11 10 10 11 11 11 11 11 10 10 11 10 9 9 10 11 10 9 9 8 8 8 7 6 5 4 5 8 9 8 8 7 6 5 4 5 7 9 10 11 10 7 5 4 5 6 7 8 9 9 8 6 6 7 7 5 3 4 5 7 7 7 7 6 5 5 6 7 6 6 6 7 7 8 8 9 9 9 8 6 5 6 7 9 10 11 10 9 8 8 9 10 9 6 4 3 4 5 6 7 7 8 8 9 10 10 10 8 7 7 7 9 10 11 11 10 nan
nan 6 6 6 7 7 7 7 8 8 8 9 9 9 10 11 12 12 12 11 10 9 9 8 8 9 9 9 10 10 10 11 11 11 10 10 12 13 13 13 12 10 9 7 7 7 8 8 8 8 9 9 9 9 10 10 9 9 10 12 13 14 14 14 14 14 14 14 14 12 10 8 8 9 10 11 10 10 10 10 10 9 9 10 11 12 11 10 9 8 8 8 8 7 6 5 6 8 8 8 7 7 7 5 5 6 8 9 10 10 9 7 5 4 4 6 7 8 9 9 8 8 7 7 6 5 5 5 5 6 7 6 6 6 6 6 7 7 6 6 6 6 6 7 8 9 9 9 9 8 7 6 7 8 10 10 10 9 8 8 9 10 10 9 7 5 5 5 6 6 5 5 6 8 10 10 9 8 8 8 9 9 10 10 10 9 nan
nan 5 5 5 6 6 6 6 7 7 8 8 9 10 11 12 13 12 12 11 10 9 9 9 9 9 9 10 9 9 10 11 12 12 10 10 12 12 12 11 11 11 10 9 8 8 9 9 8 8 8 9 10 10 11 10 9 8 9 10 11 11 11 11 10 10 11 12 12 10 8 7 7 7 8 9 9 9 9 9 9 9 9 10 12 12 11 10 9 8 8 8 8 7 7 6 7 8 8 8 7 7 7 6 7 9 10 10 9 9 8 6 5 4 5 6 7 8 8 9 9 9 8 8 7 6 6 5 6 6 6 6 5 5 6 7 8 8 6 6 6 6 5 5 7 9 10 10 9 9 9 9 8 7 7 8 8 8 7 7 9 10 11 10 9 7 5 5 5 5 5 5 6 7 8 9 8 8 8 9 9 9 9 9 9 8 nan
nan 5 4 5 5 5 6 6 7 7 8 9 9 11 12 13 13 12 12 11 10 10 9 9 10 10 10 10 10 10 10 10 11 11 10 10 10 11 10 10 10 10 10 9 9 9 10 10 9 8 8 8 9 10 10 10 9 7 7 7 7 7 7 6 6 6 8 9 10 9 8 7 6 6 6 7 8 8 9 9 9 10 10 11 12 12 11 10 9 9 8 8 8 8 7 7 7 7 8 8 8 7 7 7 8 10 10 10 9 8 7 5 4 4 5 6 8 8 8 9 11 10 9 8 7 7 6 6 6 6 6 5 4 5 7 9 10 8 7 6 6 5 5 5 7 9 11 11 11 11 11 11 10 8 7 7 8 8 9 9 10 11 11 10 9 6 4 4 5 6 6 6 7 7 7 7 7 7 7 8 9 10 10 10 10 8 nan
nan 6 6 6 6 6 7 7 8 8 8 9 10 11 12 13 12 12 11 10 10 10 10 11 11 12 11 11 11 11 10 9 10 11 11 10 10 11 11 10 10 10 10 9 9 10 11 11 10 8 8 8 8 9 9 10 9 8 6 5 4 4 4 4 3 3 5 7 8 9 8 7 7 7 6 6 6 7 8 9 10 11 11 12 12 12 11 10 9 9 9 9 8 8 7 7 7 7 8 9 9 7 7 8 9 10 10 10 9 8 6 4 4 4 5 6 8 8 9 10 11 11 10 8 7 7 6 5 5 5 5 4 4 5 8 11 12 11 8 7 6 5 5 5 7 9 10 10 11 12 12 11 11 10 10 9 10 10 11 12 12 11 10 10 8 6 4 4 4 5 6 7 7 7 7 6 6 6 7 8 10 10 10 10 9 8 nan
nan 9 9 8 8 8 8 8 8 8 9 9 10 11 11 12 11 11 11 10 10 10 11 12 13 13 12 12 11 11 11 9 9 10 12 11 11 11 11 11 11 11 11 9 9 9 10 11 10 8 7 7 8 9 9 10 11 9 7 5 4 4 4 4 3 3 3 5 6 7 8 8 9 9 8 7 7 7 8 9 10 11 11 12 12 12 12 10 9 9 9 9 9 8 8 7 7 7 8 9 9 8 8 8 8 9 10 10 10 8 6 4 3 4 5 7 8 9 10 11 11 11 10 8 7 6 5 5 5 5 5 5 4 6 8 11 12 12 10 8 6 5 5 5 6 7 8 8 9 10 11 11 12 12 13 13 13 13 14 14 12 10 9 9 9 7 6 5 4 4 5 6 6 6 6 6 5 5 7 9 10 10 10 9 8 8 nan
nan 10 10 10 9 9 9 9 8 8 8 8 8 8 9 10 11 11 11 10 9 10 11 13 13 13 13 12 11 11 11 10 9 9 11 12 11 11 11 11 10 11 12 12 11 10 10 11 9 7 6 7 8 9 9 11 12 11 8 6 4 4 5 5 4 3 3 4 5 7 7 9 10 10 9 8 8 8 9 10 10 11 11 12 13 13 13 11 10 9 9 9 9 9 9 8 7 7 7 9 9 9 8 8 8 8 9 10 10 8 6 5 4 4 5 7 8 9 10 11 11 9 9 8 8 6 5 5 5 5 5 6 7 7 8 9 10 10 9 8 6 6 5 5 5 6 6 6 7 8 9 11 11 12 13 14 15 15 15 14 12 10 9 9 10 10 9 7 6 4 4 5 5 6 6 6 6 6 8 9 10 10 9 8 7 7 nan
nan 9 9 9 9 9 8 8 8 8 8 7 6 7 8 10 11 11 11 10 10 10 12 13 13 13 12 11 11 11 11 10 10 9 11 12 11 11 11 10 10 10 11 12 12 12 12 12 10 7 5 6 7 8 9 11 13 12 9 6 5 5 6 6 6 5 5 5 6 7 8 9 10 10 9 9 9 10 10 11 11 11 10 10 12 13 13 13 12 10 10 9 9 9 9 8 7 7 7 8 8 8 8 7 7 7 9 10 10 9 8 6 4 4 5 7 9 10 10 10 9 7 7 8 8 7 6 6 6 6 6 7 8 9 9 8 8 8 7 7 7 7 6 5 5 5 5 5 5 6 8 9 9 10 11 12 13 14 15 15 14 12 11 11 11 12 11 10 8 6 5 4 4 5 6 7 7 7 8 10 10 10 9 7 6 6 nan
nan 6 7 8 8 8 8 8 8 8 7 6 6 6 7 9 10 11 11 11 11 11 12 13 12 12 11 11 11 11 11 11 10 10 11 12 12 11 11 10 9 9 9 10 11 12 13 13 11 7 5 5 5 6 8 10 13 12 10 7 6 6 6 7 7 7 7 7 7 8 8 9 9 9 9 10 11 11 12 13 12 10 9 9 10 12 13 14 13 11 10 10 10 10 9 8 8 8 8 8 8 8 8 7 6 6 8 9 10 10 9 7 5 4 5 7 9 10 11 10 8 5 6 8 9 8 7 7 7 7 7 7 8 9 9 8 7 7 7 7 8 8 7 6 5 5 5 5 5 5 6 7 7 7 7 7 9 11 13 14 15 14 12 12 12 13 13 12 10 9 7 6 5 5 5 7 7 8 8 9 10 10 9 8 7 6 nan
nan 6 6 6 7 8 8 8 8 8 7 7 6 6 7 8 10 11 11 12 12 12 13 13 12 11 10 10 10 11 11 11 11 10 11 11 12 12 12 11 10 8 8 8 8 10 12 13 11 8 6 4 4 5 6 9 12 12 10 8 7 6 7 7 8 8 9 9 9 9 8 8 9 9 10 11 12 12 13 13 13 10 8 8 9 11 13 14 14 12 12 11 11 10 9 9 8 8 8 8 8 8 8 6 5 5 6 8 9 9 9 7 6 4 4 6 9 11 12 11 8 7 7 8 8 8 8 7 6 5 6 6 8 9 9 7 6 6 7 9 9 9 8 6 5 6 6 7 6 6 6 7 7 7 7 6 6 7 9 10 11 11 11 11 11 13 13 13 12 11 9 8 6 6 6 6 6 7 8 9 10 10 9 9 8 8 nan
nan 6 5 5 6 7 8 8 8 8 7 7 7 7 7 8 9 10 11 12 13 14 14 13 12 11 10 10 10 11 11 11 11 11 11 12 12 12 12 11 11 10 10 9 8 9 10 12 11 9 7 5 5 5 6 9 10 9 8 7 7 7 7 7 8 10 11 11 11 10 9 9 9 10 11 12 12 12 13 13 12 10 8 9 10 12 13 13 13 12 12 11 12 11 10 9 9 9 9 9 9 9 8 7 6 5 5 7 8 9 8 7 5 4 4 6 9 12 13 12 10 9 8 8 8 8 8 6 4 4 4 6 8 9 9 7 5 6 8 10 11 10 8 6 5 6 7 8 7 6 6 6 7 7 8 8 7 7 7 8 8 7 8 9 10 12 13 14 13 12 10 9 8 8 7 6 5 5 6 8 9 10 10 10 9 9 nan
nan 7 6 6 6 7 8 8 8 8 7 7 7 7 7 8 9 10 12 13 14 14 14 13 12 11 11 11 11 11 12 12 12 11 11 12 13 13 12 12 12 11 11 10 10 10 11 12 11 10 9 8 7 6 7 9 9 7 7 7 8 8 7 7 9 10 11 11 11 11 11 11 10 10 11 11 11 11 12 12 12 10 9 9 11 12 12 13 12 11 10 10 11 12 11 10 9 9 9 10 10 9 9 8 7 7 6 6 8 8 7 6 5 4 4 6 9 12 13 12 10 9 9 9 8 8 7 6 4 4 5 6 7 8 7 6 5 6 9 11 12 11 9 7 6 6 7 8 7 6 6 5 6 7 8 8 8 7 7 7 7 7 7 8 10 12 13 14 14 13 11 10 10 10 10 8 6 5 6 7 8 9 10 10 10 10 nan
nan 9 8 8 8 8 8 8 9 8 8 8 8 8 9 10 11 12 12 13 13 14 14 13 13 12 12 12 12 12 13 13 12 11 10 11 12 12 12 11 11 11 11 11 10 11 11 12 11 10 10 9 9 8 8 8 7 6 6 7 8 8 7 8 8 9 10 11 11 12 12 11 10 10 10 10 10 10 11 11 12 11 9 8 9 10 11 12 11 10 9 10 11 11 11 10 10 9 9 10 10 10 9 9 9 8 7 7 7 7 7 6 5 4 5 8 10 12 13 12 10 9 9 9 9 9 8 6 5 5 6 6 7 7 6 5 5 6 9 11 12 11 9 8 7 6 7 8 8 7 6 6 6 6 7 6 7 7 8 7 7 8 8 9 10 10 12 14 14 13 12 12 11 11 10 9 8 7 7 7 8 8 9 9 10 10 nan
nan 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 12 12 13 14 14 15 15 14 14 14 14 14 13 13 14 14 12 11 10 11 11 11 10 11 11 11 10 10 10 11 12 11 10 9 9 9 9 9 8 7 5 5 6 7 8 7 7 8 8 9 10 11 11 11 11 10 9 9 9 9 10 10 11 11 10 9 8 8 9 10 11 11 10 9 9 10 11 11 11 11 10 10 10 10 9 9 9 9 9 8 8 7 7 6 6 5 5 7 9 11 12 12 11 10 9 8 9 9 9 8 7 6 6 6 6 6 6 5 4 5 6 8 10 11 10 10 9 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 8 8 8 9 9 10 11 12 12 12 12 11 10 9 8 8 9 9 8 8 8 8 8 9 10 nan
nan 9 10 10 10 10 10 10 11 11 10 10 11 12 11 10 10 10 11 12 14 16 16 16 15 15 15 15 15 14 14 14 14 13 12 11 10 10 10 10 10 11 11 10 10 10 11 12 11 10 9 9 9 9 9 9 8 6 6 7 8 8 8 7 6 7 7 8 9 10 10 10 9 8 8 9 9 10 10 9 9 8 9 8 8 9 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 9 9 8 8 8 8 8 7 7 6 6 5 5 8 11 12 12 11 11 10 8 8 8 9 8 7 7 7 7 7 7 7 6 5 5 5 6 7 9 10 11 11 10 9 9 9 9 9 9 9 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 8 7 7 8 9 9 9 8 7 6 8 10 nan
nan 9 9 10 10 10 11 11 12 12 12 12 12 11 9 8 7 8 9 11 13 15 15 14 14 14 14 15 15 15 14 14 12 11 11 11 10 10 10 10 10 10 10 9 9 9 10 11 11 10 9 9 9 9 9 9 9 8 8 8 9 8 8 7 6 5 6 7 8 9 9 8 8 8 8 9 10 11 10 8 7 7 7 8 8 9 9 10 10 10 9 9 9 9 9 9 10 10 11 12 12 11 10 9 8 8 8 7 7 7 7 6 5 6 9 10 11 11 11 11 9 8 8 8 9 9 8 7 7 7 8 8 8 6 5 6 6 6 7 9 10 11 11 11 10 10 9 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 8 9 9 9 8 8 8 8 9 9 9 8 6 7 8 9 nan
nan 9 10 10 10 10 10 11 11 12 12 11 10 9 7 5 6 7 8 9 10 11 12 12 12 12 13 14 14 14 13 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 10 10 10 10 9 9 7 6 6 6 7 8 8 9 8 8 7 8 10 11 10 9 7 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 11 10 9 8 7 8 8 7 7 6 6 7 9 9 9 9 10 10 9 9 8 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 9 10 11 11 11 11 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 7 7 7 7 7 8 8 9 9 9 8 9 9 9 9 9 8 7 6 7 8 8 nan
nan 9 10 10 9 9 9 10 10 10 9 8 8 6 5 4 5 7 8 8 7 8 8 10 11 12 13 14 13 12 12 12 12 12 12 12 12 12 11 10 10 11 12 13 13 12 12 12 11 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 8 7 7 7 8 8 8 8 8 7 8 9 9 8 6 5 4 6 7 7 8 8 8 9 9 9 9 10 10 9 9 9 9 8 7 7 9 10 10 10 10 9 8 8 7 7 7 7 7 8 8 7 7 7 9 10 10 10 10 10 10 9 9 8 7 6 5 5 6 7 7 8 8 9 9 8 9 9 9 9 10 10 9 8 8 8 7 7 8 9 9 9 9 9 10 10 10 10 10 10 9 9 8 9 9 8 9 9 10 10 9 10 10 10 10 10 8 7 7 8 8 8 nan
nan 10 10 9 8 8 8 8 7 7 6 5 5 5 4 4 5 6 7 6 6 5 6 8 10 12 14 13 12 12 13 14 14 13 12 11 11 11 11 10 11 12 13 14 13 13 13 12 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 8 8 8 8 8 8 7 7 8 8 7 5 4 3 3 6 7 8 8 8 8 8 8 8 8 9 10 10 10 10 10 9 8 7 7 8 9 10 10 9 8 7 7 7 7 7 8 8 7 6 6 7 8 9 10 10 10 11 11 10 9 9 7 6 4 5 7 8 8 8 8 8 7 7 7 7 8 8 9 9 8 7 7 7 7 7 8 9 9 9 9 9 10 10 10 10 10 11 11 10 10 10 10 9 10 10 11 11 11 10 10 11 11 10 8 7 8 8 9 8 nan
nan 10 9 9 8 7 6 6 6 5 4 4 4 4 3 4 5 5 6 6 5 5 6 7 10 13 14 14 13 13 15 15 14 13 12 11 11 11 10 10 11 12 13 13 13 12 12 12 11 9 9 9 10 11 11 11 11 11 11 11 10 9 9 10 10 10 10 9 8 7 7 7 8 7 7 5 4 3 3 3 5 7 8 8 8 8 8 8 8 7 7 8 9 9 10 10 10 10 9 8 8 8 9 10 10 9 8 7 6 6 8 9 9 9 8 8 7 7 8 9 10 11 11 11 11 11 11 10 8 6 6 7 9 9 8 7 7 6 5 5 5 7 7 7 7 8 8 8 7 6 6 7 8 8 9 9 10 10 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 10 10 10 10 9 8 8 8 8 9 8 nan
nan 10 9 9 8 8 7 6 5 5 5 4 4 3 3 4 4 5 5 6 6 6 6 8 11 13 14 13 13 14 15 15 14 14 14 13 12 11 10 10 11 11 12 12 12 12 12 12 11 10 9 10 11 11 12 12 12 11 11 11 10 8 8 10 12 12 11 9 7 6 6 8 9 8 5 3 2 3 4 5 7 8 9 8 7 7 8 8 8 8 7 7 8 8 9 10 10 11 11 10 8 7 8 9 10 10 8 7 6 6 7 9 10 11 11 10 9 10 10 11 11 12 13 13 13 13 13 12 10 8 8 9 9 8 6 6 7 7 6 6 7 9 9 8 7 7 8 8 8 6 7 7 8 8 9 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 8 nan
nan 10 9 9 8 8 7 7 6 6 5 5 4 3 3 3 4 4 6 6 7 7 8 9 11 12 13 13 13 14 14 14 14 15 15 14 12 11 10 10 10 11 12 13 12 12 12 12 12 11 10 11 11 12 12 12 12 12 13 13 11 9 9 11 13 14 13 9 6 4 6 9 11 9 4 2 2 4 6 7 9 9 9 8 6 6 7 8 9 9 8 8 8 8 8 9 10 12 12 11 9 8 8 9 9 9 10 9 7 6 7 9 11 12 12 12 11 12 13 13 13 13 14 14 14 15 14 13 12 11 10 11 9 7 6 7 8 9 9 10 11 12 11 9 7 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 10 10 10 8 7 7 7 7 nan
nan 10 9 9 8 8 8 7 7 6 6 5 4 3 3 4 4 5 6 7 7 7 8 9 11 12 13 13 13 14 14 14 14 14 14 13 12 11 10 10 11 12 13 14 13 13 12 12 12 12 12 12 12 12 13 13 14 14 15 15 14 13 12 12 14 14 13 10 7 5 7 11 13 11 5 2 4 6 7 8 9 10 9 7 7 7 7 8 9 9 9 9 9 8 8 9 10 12 12 11 9 9 9 9 9 10 11 12 11 10 10 11 12 13 13 12 12 14 15 14 13 13 13 13 14 14 13 12 12 12 12 12 10 8 8 9 10 10 10 10 11 12 10 9 8 8 9 10 10 10 9 9 8 8 8 9 9 9 9 9 10 10 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 9 9 8 7 7 7 8 nan
nan 10 9 9 8 8 8 8 8 7 6 5 4 4 4 5 5 6 6 7 7 8 8 10 11 13 13 13 13 13 14 14 14 14 14 13 12 11 10 11 12 13 14 14 14 13 12 12 11 11 12 12 12 12 12 13 14 15 16 17 17 16 14 13 13 13 13 11 9 8 9 12 15 12 7 5 6 7 8 8 9 10 9 7 7 7 8 9 9 10 10 10 10 9 9 10 11 12 12 10 9 8 8 9 10 12 13 14 14 14 13 13 13 13 12 11 12 13 14 14 13 12 10 10 11 11 10 8 9 11 14 14 12 10 10 12 12 11 9 9 10 11 10 9 8 9 9 10 10 11 11 10 9 8 8 8 8 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 nan
nan 10 9 9 9 9 9 9 8 7 6 5 4 5 5 6 6 6 6 7 7 8 8 10 12 13 13 12 12 13 14 15 15 15 14 14 13 12 11 11 12 13 13 14 13 13 11 10 9 10 11 11 11 11 11 12 13 14 15 16 17 16 14 13 12 13 14 14 12 11 11 13 14 12 9 9 9 9 8 9 10 10 8 7 7 8 8 9 9 10 10 11 11 10 11 11 13 13 11 10 9 8 7 8 10 12 14 15 16 16 15 14 14 13 12 11 12 12 13 13 12 10 8 8 9 9 8 5 5 8 12 13 13 11 11 13 13 11 10 11 11 11 10 9 8 8 8 9 10 11 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 6 6 7 8 9 9 9 nan
nan 10 9 9 9 9 10 9 8 7 6 6 5 5 6 6 7 7 6 6 6 7 8 10 12 13 12 11 12 13 15 16 16 15 14 14 13 12 12 11 12 12 13 13 13 12 11 9 8 8 9 10 10 10 10 10 11 11 12 13 14 13 12 12 12 13 15 15 14 12 12 13 13 12 12 12 13 12 10 9 9 9 9 8 8 9 8 9 9 10 10 11 11 12 13 13 13 12 11 11 10 9 8 7 8 11 13 15 16 16 15 14 14 13 13 12 12 13 13 13 12 10 9 8 8 8 6 5 4 6 9 11 12 11 12 14 12 12 12 13 13 11 10 9 8 7 7 8 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 7 8 9 9 10 nan
nan 9 9 9 9 10 10 9 8 8 7 6 6 6 6 7 7 7 6 6 6 7 8 11 12 12 11 11 12 13 15 16 16 15 14 14 13 13 12 12 12 13 13 13 13 12 11 9 8 8 9 9 9 9 9 9 10 10 10 11 11 11 10 10 12 13 14 14 13 12 12 12 13 13 13 15 16 15 12 10 9 9 9 10 10 9 9 9 10 10 10 11 11 13 14 14 13 12 12 12 12 11 9 8 8 9 10 12 13 14 14 14 14 13 13 13 13 13 13 12 11 9 9 9 8 7 6 5 5 6 8 10 11 12 13 13 12 11 12 12 11 9 8 8 7 7 7 7 8 9 9 10 10 9 9 8 8 8 8 9 9 9 9 9 10 10 9 9 9 9 10 10 9 9 10 10 9 9 9 8 8 7 8 8 9 9 nan
nan 9 9 9 9 9 8 8 8 8 7 7 7 6 7 8 8 7 7 6 7 7 8 10 12 12 11 11 12 13 14 14 14 14 14 14 13 13 13 13 13 14 14 14 13 12 11 10 9 9 10 9 9 9 9 9 9 9 9 10 9 9 9 9 11 12 13 13 12 11 11 12 13 13 14 16 17 16 13 10 9 9 10 11 11 10 10 10 11 11 11 11 12 14 14 14 13 13 13 14 13 13 11 9 8 8 8 9 11 12 13 13 13 13 12 12 12 13 12 11 10 9 9 9 8 7 6 7 7 8 8 9 10 12 13 12 11 10 10 10 9 8 8 8 7 6 7 7 8 8 9 9 10 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 9 8 8 8 8 8 nan
nan 9 9 9 9 8 8 8 8 8 8 8 7 7 8 9 9 8 7 7 7 7 8 10 12 12 12 12 12 13 13 12 13 13 14 14 14 14 14 14 15 15 15 15 14 13 11 10 10 10 10 10 9 9 9 8 9 9 9 9 9 8 8 9 9 10 11 11 11 11 11 12 13 13 13 15 16 15 13 10 10 10 11 11 11 11 11 11 11 11 11 11 13 14 14 14 13 13 14 14 14 13 12 10 8 7 7 8 9 10 11 12 11 11 11 11 11 12 12 11 11 10 10 9 7 6 6 8 10 9 8 8 9 10 11 11 10 9 9 9 9 9 9 9 8 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 7 7 nan
nan 10 10 10 9 9 8 8 7 7 8 9 8 9 9 9 9 8 8 7 7 7 8 10 13 14 13 12 12 12 12 11 12 13 13 14 15 15 15 15 15 15 15 15 14 13 12 11 11 11 11 11 10 9 9 8 8 8 9 9 8 8 8 8 9 9 9 10 10 10 10 11 12 12 12 13 13 13 12 11 11 11 11 11 11 11 11 11 11 10 11 12 12 13 14 14 14 13 13 14 14 14 12 10 8 7 7 8 8 9 10 11 10 10 10 10 10 11 11 12 12 12 10 8 5 5 7 9 10 9 7 6 7 9 9 10 11 10 9 9 10 10 11 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 nan
nan 11 12 11 11 11 9 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 9 11 14 15 14 12 12 12 12 12 12 13 13 14 15 15 15 15 15 15 15 14 13 13 12 12 12 12 11 11 10 10 9 8 8 8 8 9 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 10 11 10 10 10 11 10 10 9 9 10 12 13 13 13 13 13 13 14 13 13 13 13 13 11 9 8 8 9 9 9 10 10 10 10 10 10 10 10 10 11 12 11 9 6 5 5 7 10 9 7 6 6 6 8 8 9 10 9 9 9 10 10 11 10 9 9 8 7 6 6 7 7 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 nan
nan 12 12 12 12 11 9 7 7 8 9 9 9 9 9 9 10 10 10 10 9 9 10 12 14 15 14 12 12 13 13 13 13 13 14 14 14 15 15 15 15 15 15 14 13 13 13 13 13 12 12 11 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 10 11 13 14 14 14 14 13 13 14 13 12 12 12 13 11 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 7 5 5 6 9 9 7 6 5 6 7 7 7 7 7 7 8 9 10 10 10 9 10 9 9 8 7 6 7 8 9 10 10 9 8 8 9 9 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 8 nan
nan 10 10 11 10 9 8 7 7 7 8 9 9 8 8 9 9 10 10 10 10 10 10 11 13 14 13 12 12 13 14 14 14 14 14 14 14 15 15 15 15 15 14 13 13 13 14 14 13 13 12 12 11 10 9 9 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 10 11 12 12 13 14 14 14 14 14 14 13 12 11 11 11 11 10 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 9 8 6 5 5 7 8 7 5 4 5 6 7 7 7 7 6 6 7 9 10 10 9 9 10 10 10 8 7 7 8 9 10 11 11 10 9 8 8 9 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 nan
nan 9 9 9 9 8 7 6 7 8 9 10 10 9 8 9 9 10 11 12 11 10 10 11 12 14 13 12 13 13 13 13 13 13 14 14 14 15 15 15 15 14 13 11 12 13 13 13 13 12 12 12 11 11 10 9 9 9 9 9 8 9 9 9 9 9 9 8 8 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 12 13 14 14 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 6 5 5 7 7 6 5 4 6 8 9 8 7 7 8 7 8 9 10 10 9 9 10 11 10 9 8 8 8 9 10 11 11 10 9 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 10 nan
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nan 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 13 13 13 13 13 12 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 13 13 13 12 12 12 12 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 8 8 9 10 11 11 10 6 3 3 4 6 8 8 9 9 9 8 8 8 9 9 9 9 10 10 10 10 9 7 4 2 4 6 8 9 11 11 10 9 7 5 3 3 5 8 9 9 9 10 12 14 14 13 12 12 12 12 12 12 11 10 9 9 9 9 9 nan
nan 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 12 12 13 13 13 13 13 12 12 12 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 13 13 13 13 12 12 12 12 12 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 10 10 9 8 8 7 8 8 8 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 13 13 11 10 9 10 11 12 12 11 7 4 2 2 5 8 9 9 9 8 8 8 8 9 9 9 9 10 10 11 11 10 9 6 4 4 5 6 8 10 9 7 6 5 3 3 5 7 8 8 8 8 10 12 13 14 14 13 13 13 12 11 11 10 10 10 10 11 11 11 nan
nan 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 13 13 14 14 13 13 13 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 10 9 7 6 7 8 9 10 10 10 8 8 8 9 9 9 8 8 9 9 9 9 8 8 8 9 10 11 13 14 13 12 10 10 11 11 11 10 8 5 3 2 5 8 9 9 9 8 8 8 9 9 10 9 9 9 10 10 10 10 9 7 7 6 5 5 7 8 7 6 6 5 5 6 8 9 9 8 8 9 10 11 12 13 14 14 14 13 12 10 10 9 9 9 10 10 9 9 nan
nan 10 10 11 11 11 11 12 12 12 13 12 12 12 12 12 12 11 11 12 12 12 13 13 14 14 14 14 14 13 13 12 11 11 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 10 9 8 7 6 7 9 11 11 10 9 9 8 9 9 8 8 8 9 9 9 8 8 8 8 9 10 11 13 14 13 12 11 10 10 10 10 9 8 6 4 4 6 8 9 9 9 9 9 9 10 10 9 9 8 8 8 9 9 9 8 8 8 8 7 7 8 8 7 7 7 7 8 9 9 9 9 9 8 9 9 9 10 11 14 15 15 14 12 11 11 11 10 10 10 9 8 7 nan
nan 10 10 10 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 13 13 14 14 14 14 13 13 12 11 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 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 10 9 9 9 9 11 11 11 11 10 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 11 12 12 12 11 10 10 10 9 9 9 8 7 6 6 7 8 10 10 10 10 10 10 10 10 9 8 8 7 7 8 8 8 8 8 9 10 10 9 8 7 6 6 8 9 9 9 9 9 9 9 9 9 8 8 9 12 15 16 15 13 11 11 12 12 11 10 8 6 6 8 nan
nan 10 10 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 11 11 12 12 13 14 14 14 14 13 13 12 11 10 10 10 10 10 11 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 10 11 11 10 11 11 12 12 12 12 11 11 12 12 12 11 10 10 9 9 9 9 9 9 9 10 10 10 11 10 10 10 11 11 11 11 10 10 10 9 9 9 8 8 7 7 8 9 10 11 11 11 11 11 10 9 9 9 9 8 7 7 7 7 8 8 9 10 10 10 9 7 5 6 7 8 9 9 9 9 9 9 9 9 9 9 10 12 15 15 14 11 11 11 11 9 6 3 1 1 4 9 nan
nan 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 11 11 11 11 12 12 13 13 13 13 13 13 12 11 10 10 10 10 11 11 11 11 10 10 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 10 10 9 9 9 8 9 10 11 11 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 9 9 8 8 8 8 9 10 10 11 11 11 10 9 9 9 9 9 9 8 7 7 7 8 8 9 9 9 10 9 6 4 4 6 7 8 8 8 8 9 9 9 9 9 10 10 12 14 15 14 12 11 9 7 3 -1 -4 -4 -0 7 12 nan
nan 11 12 12 12 12 12 11 11 11 11 11 10 10 10 10 11 11 11 11 12 12 12 13 13 12 12 12 11 11 10 10 10 11 11 11 11 10 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 11 10 10 9 9 9 10 10 11 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 10 10 11 11 11 10 10 10 10 10 10 9 9 9 8 8 7 7 8 9 9 10 11 11 12 13 13 15 16 15 12 10 9 9 10 10 10 10 9 9 8 8 8 8 9 10 10 10 10 9 8 8 8 9 10 9 9 8 8 8 8 9 9 9 10 10 8 5 2 3 5 7 8 8 8 8 9 9 9 10 10 10 10 12 14 16 16 13 9 5 1 -1 -2 -0 3 8 14 16 nan
nan 11 12 12 13 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 10 10 10 11 11 11 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 11 10 10 9 9 9 10 10 10 11 11 11 11 10 10 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 10 11 12 13 15 16 16 14 12 10 9 10 11 11 11 10 9 9 9 9 9 10 10 10 9 8 7 7 8 9 10 10 9 9 9 8 9 9 9 8 9 10 9 7 3 2 3 5 7 8 8 8 9 9 10 10 10 11 11 11 12 15 18 18 13 6 1 0 2 4 7 10 15 18 18 nan
nan 11 11 11 12 12 12 11 11 10 10 9 9 9 9 9 10 10 11 11 11 11 12 12 12 12 11 11 11 10 10 11 11 10 10 9 9 8 8 9 9 10 11 12 12 12 12 12 11 11 11 11 10 10 10 9 9 9 10 10 10 11 11 11 11 10 10 9 9 8 8 9 10 10 10 9 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 9 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 7 8 9 10 10 9 8 9 11 13 13 12 10 10 11 11 12 11 10 10 9 9 9 10 9 8 6 5 5 8 10 11 11 10 9 9 9 9 9 9 9 9 10 11 9 6 3 1 3 6 7 8 8 9 9 10 10 10 11 11 11 12 14 17 19 16 9 4 2 5 8 10 11 13 15 17 18 nan
nan 11 10 10 11 12 12 11 10 10 9 9 9 9 9 9 9 10 10 11 11 11 12 12 12 12 12 11 10 10 10 10 10 10 9 8 8 8 8 9 10 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 11 11 11 12 12 12 12 11 11 11 10 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 9 8 8 8 8 8 8 8 8 7 7 6 6 7 7 8 8 8 8 8 8 8 9 9 8 5 5 6 9 12 13 12 11 11 11 12 12 11 10 10 9 9 9 8 7 5 5 8 12 15 15 13 11 9 8 9 9 9 9 9 9 11 11 9 6 3 2 4 6 7 8 9 9 10 10 11 11 11 11 12 15 17 19 17 10 5 4 6 9 11 12 13 14 16 18 20 nan
nan 10 9 9 10 11 11 10 10 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 12 11 10 10 10 10 9 9 8 8 7 8 9 10 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 7 7 7 8 8 8 8 8 7 7 8 8 9 9 8 8 8 8 8 8 8 9 10 8 7 6 6 9 13 13 13 12 12 12 12 11 10 10 9 9 9 9 8 7 8 12 15 16 15 13 11 9 9 10 10 9 9 10 10 11 10 8 5 3 3 4 6 8 9 10 10 11 11 11 11 11 12 13 16 18 18 11 6 4 6 9 11 12 13 14 15 18 21 23 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 13 13 13 12 11 11 10 9 9 9 8 8 8 8 10 11 12 13 13 13 12 12 12 12 11 11 11 10 10 10 10 11 11 11 10 10 10 9 9 9 10 10 10 11 10 10 10 10 9 9 9 9 8 8 8 8 9 9 10 10 10 9 9 8 9 9 9 9 8 7 6 7 7 8 8 7 7 7 8 8 9 9 9 8 8 8 8 8 8 9 9 10 10 8 6 4 7 11 13 14 13 12 12 12 11 10 10 9 9 10 10 9 9 10 11 12 11 11 10 9 9 10 11 10 10 10 10 10 9 6 3 1 0 2 4 7 9 10 10 11 11 11 11 11 11 12 14 15 16 12 6 5 6 9 12 13 14 14 15 18 21 23 22 nan
nan 10 10 10 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 13 14 14 13 12 11 10 9 8 8 8 9 10 11 12 12 13 12 12 12 11 11 11 11 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 11 11 11 10 9 9 9 9 9 9 9 9 10 10 9 9 9 10 11 11 11 9 7 7 7 7 7 7 6 7 7 8 8 9 9 9 8 8 8 8 8 9 9 9 10 10 9 6 4 5 8 11 13 13 12 12 11 10 10 9 9 9 9 10 10 9 9 9 8 8 8 8 8 10 11 12 11 10 9 9 7 3 -1 -3 -2 1 4 6 9 10 10 11 11 11 11 12 12 13 13 13 13 12 8 6 7 9 12 13 14 15 16 18 21 23 23 20 nan
nan 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 12 14 15 15 14 13 11 9 8 8 8 9 10 11 12 12 12 12 11 10 10 10 9 9 9 9 10 9 9 9 9 8 8 8 7 8 8 9 10 10 10 10 11 11 11 11 11 11 12 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 10 9 8 8 8 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 6 5 6 7 9 11 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 10 11 12 13 12 9 7 5 3 1 -1 -3 -1 2 6 8 10 11 11 11 11 11 11 12 14 15 15 14 13 12 11 10 10 11 12 14 14 15 17 19 21 23 23 21 16 nan
nan 9 9 10 11 12 12 12 11 9 9 8 8 8 8 9 9 9 10 10 11 11 12 14 15 15 14 13 11 10 9 9 9 9 10 10 11 11 10 10 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 11 11 11 11 11 11 11 11 10 9 9 8 8 9 9 9 9 9 8 8 9 10 11 12 11 10 10 9 9 8 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 5 4 6 7 8 9 10 10 9 9 9 9 9 9 8 9 8 8 8 9 11 12 12 12 11 7 3 1 -0 -1 -0 1 3 6 9 11 12 12 12 12 12 12 12 14 16 18 19 17 15 13 12 11 11 11 12 13 14 15 17 19 21 23 22 20 15 12 nan
nan 8 9 10 11 11 11 11 11 9 9 8 8 8 8 8 9 9 9 10 10 11 12 13 14 14 13 13 12 11 11 10 10 9 9 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 8 8 9 10 10 9 8 8 9 10 11 11 10 10 10 9 9 10 11 11 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 7 4 2 3 4 6 7 8 9 9 8 8 8 8 8 8 9 9 8 8 9 11 11 11 9 6 3 1 0 2 3 5 7 10 12 14 14 13 13 12 13 13 14 15 17 19 20 19 16 13 11 9 8 9 11 13 14 15 16 19 21 22 20 18 14 11 9 nan
nan 8 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 11 11 12 12 12 12 12 12 12 11 11 10 9 7 7 7 8 9 9 10 11 11 10 10 10 9 9 9 9 8 8 8 9 9 9 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 8 8 9 9 10 11 10 9 9 9 9 10 10 10 10 9 9 9 10 10 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 5 3 3 3 4 5 6 7 7 7 8 8 8 8 9 9 9 9 9 9 10 10 10 8 6 5 6 7 9 11 12 14 16 16 16 15 14 13 14 14 15 16 17 17 17 16 13 10 8 5 4 5 8 11 13 15 16 18 20 21 20 17 13 10 9 9 nan
nan 8 8 8 9 9 10 10 10 10 10 9 9 8 8 8 9 9 9 9 10 11 11 11 12 12 12 12 12 12 11 10 9 8 7 8 9 10 10 11 11 11 11 11 10 10 10 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 8 8 8 8 9 10 10 10 11 10 10 10 9 9 10 11 11 11 10 10 10 10 10 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 7 7 6 5 5 6 6 6 6 7 9 10 10 9 9 10 10 11 11 12 13 14 13 11 12 12 14 15 16 17 18 19 18 16 13 12 12 13 13 13 13 13 12 10 8 8 8 7 6 6 9 12 14 16 17 18 20 21 19 16 13 11 10 10 10 nan
nan 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 12 12 12 12 11 10 10 8 8 9 10 11 12 12 12 12 11 11 11 10 10 9 9 8 8 8 9 9 9 8 9 9 10 10 10 10 10 9 8 7 7 7 8 9 11 12 12 12 12 11 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 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 10 10 10 10 10 9 8 7 7 7 7 7 9 11 11 11 10 10 11 12 14 15 16 17 16 15 14 15 16 17 18 18 18 18 17 14 11 9 9 10 11 10 10 10 10 9 7 9 12 14 14 13 13 14 16 16 17 18 18 18 17 15 12 11 10 10 10 10 nan
nan 9 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 10 11 11 12 12 12 12 12 11 10 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 8 6 6 6 7 8 9 10 11 12 13 13 12 11 10 10 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 11 11 11 12 12 12 11 11 10 9 9 9 10 11 11 11 11 10 10 11 13 15 15 15 14 13 12 13 14 15 16 17 16 15 13 12 10 8 8 9 11 12 12 12 12 11 11 13 15 18 19 18 16 14 14 14 14 15 15 15 14 12 11 11 10 10 10 10 10 nan
nan 9 9 10 10 9 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 12 12 11 10 9 8 8 8 8 8 8 9 8 9 9 10 10 10 9 9 9 9 9 8 7 6 7 8 9 9 9 10 12 14 13 12 11 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 11 11 12 12 12 12 12 13 12 12 12 11 10 10 10 11 11 10 10 10 11 11 11 12 12 11 10 9 9 10 11 13 14 14 13 12 10 9 9 9 10 10 12 14 15 15 14 13 13 14 16 17 17 16 14 12 12 11 11 12 12 12 11 11 11 11 11 11 11 11 11 9 nan
nan 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 8 9 10 10 11 11 11 11 11 10 10 9 8 8 8 9 9 10 9 9 9 9 9 9 9 9 9 8 9 9 10 10 9 9 10 10 10 9 9 10 12 13 13 12 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 8 8 8 8 8 9 10 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 10 11 11 11 12 11 9 8 8 8 10 11 12 12 11 10 9 8 8 10 11 11 11 12 13 14 14 13 12 12 13 13 13 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 10 10 11 11 11 11 12 11 11 10 10 9 8 9 9 10 11 11 10 9 9 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 10 9 10 11 12 13 12 11 10 10 9 9 10 10 10 10 10 10 11 12 13 12 11 10 10 11 11 10 10 9 9 9 10 10 10 9 9 9 9 10 9 9 8 7 8 9 11 11 11 10 8 7 8 9 9 9 10 11 11 11 10 10 10 9 9 10 11 11 12 11 10 9 8 6 7 9 11 12 11 10 9 9 9 10 10 11 11 10 11 11 11 11 11 10 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 9 9 9 9 9 10 10 10 11 10 11 11 12 12 12 12 11 10 9 9 9 9 10 10 10 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 11 10 9 9 10 11 12 12 11 11 10 10 11 12 13 12 11 10 9 9 11 14 16 17 15 14 14 14 14 12 11 10 9 9 9 9 9 9 9 9 10 10 10 9 8 7 7 9 10 12 12 11 9 6 6 7 8 9 9 10 11 11 10 10 10 10 10 10 10 10 11 11 10 9 6 4 5 9 12 14 13 11 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 nan
nan 10 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 11 12 13 13 13 12 11 10 9 9 9 9 9 9 9 8 7 7 8 8 9 10 10 11 11 10 9 9 9 9 9 10 10 10 9 9 10 10 11 10 10 10 10 12 14 17 18 17 15 14 12 12 12 14 16 17 17 17 17 17 16 15 14 13 12 11 10 10 10 10 9 9 10 10 10 9 8 7 7 7 9 11 12 11 9 7 7 7 8 9 9 10 10 10 11 11 11 11 10 9 9 9 11 11 10 8 5 4 7 11 15 17 16 14 13 12 12 12 12 12 11 12 12 12 11 11 10 10 10 10 10 10 10 10 9 10 10 10 11 11 11 12 12 12 11 11 10 10 11 11 10 10 nan
nan 10 11 11 12 12 11 11 11 11 11 11 10 10 9 9 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 12 13 14 14 13 12 11 10 10 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 9 8 8 8 9 9 10 10 9 9 9 9 9 8 8 9 10 12 14 16 17 18 19 20 20 18 16 15 14 13 14 15 15 15 15 16 16 16 15 15 14 13 13 12 11 11 10 10 10 9 8 7 8 8 8 9 9 9 8 7 7 8 8 8 9 9 9 10 11 11 11 11 10 9 9 10 11 11 10 9 7 8 11 15 18 20 19 17 15 14 13 13 13 13 12 12 12 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 11 10 10 10 nan
nan 10 10 11 12 12 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 11 13 14 15 14 14 13 12 11 10 10 9 8 8 7 7 7 8 8 9 10 10 10 10 9 9 10 9 9 8 8 8 9 10 10 10 10 10 9 9 8 8 8 10 10 10 9 9 10 13 16 19 20 20 18 16 14 13 12 12 12 13 14 15 15 16 17 17 16 15 14 13 13 13 12 10 8 7 7 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 11 11 11 11 11 11 11 11 12 12 11 11 11 13 16 18 20 21 19 18 15 14 13 13 12 12 11 11 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 nan
nan 9 9 10 11 12 11 11 10 10 10 11 11 11 10 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 12 13 14 14 14 14 13 12 11 10 9 8 7 6 6 6 6 7 8 9 10 10 10 10 9 9 9 9 9 8 8 9 10 10 11 11 11 10 10 9 9 9 9 9 9 8 6 3 2 3 5 10 15 18 19 18 16 14 13 12 12 13 13 13 13 14 15 15 16 15 15 15 15 16 15 12 9 7 7 8 10 10 9 9 8 8 8 8 8 8 8 9 9 9 10 11 11 11 11 11 12 12 12 12 12 12 13 14 16 19 21 21 19 18 16 14 12 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 11 10 10 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 0 0 0 1 1 2 3 40 117 215 320 430 555 691 824 952 1120 1332 1562 1778 1955 2078 2147 2178 2180 2161 2123 2066 1986 1890 1800 1720 1650 1592 1551 1522 1494 1455 1413 1372 1331 1283 1224 1159 1086 1007 924 842 766 702 649 604 547 430 245 77 12 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 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 19 63 151 251 352 469 598 720 823 965 1163 1397 1630 1840 2003 2094 2142 2162 2166 2158 2129 2061 1963 1875 1800 1731 1666 1613 1568 1544 1513 1473 1430 1385 1340 1289 1232 1162 1079 992 909 835 771 715 668 590 426 220 63 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 51 126 231 370 496 584 658 746 890 1086 1308 1536 1705 1827 1906 1965 2015 2057 2081 2077 2016 1974 1924 1857 1772 1678 1607 1594 1595 1576 1540 1500 1464 1429 1378 1309 1226 1134 1039 954 879 773 596 333 129 28 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 0 0 0 0 0
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0 0 0 0 0 0 0 0 0 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 0 0 1 9 37 100 226 465 604 693 775 878 1007 1152 1302 1444 1567 1676 1770 1850 1917 1972 1983 1963 1923 1868 1805 1753 1702 1694 1690 1682 1654 1601 1529 1455 1396 1337 1243 1137 1044 951 779 476 204 56 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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