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 6 6 6 7 7 7 7 6 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 6 6 6 7 7 8 8 9 9 9 10 11 12 12 13 12 12 11 10 10 10 10 10 11 10 10 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 8 8 7 6 6 5 5 5 6 7 7 8 8 8 7 6 7 8 9 9 9 8 8 9 9 8 8 8 9 9 9 8 8 8 8 8 7 7 8 9 9 8 7 7 8 7 7 8 8 9 9 9 9 10 10 10 10 10 10 10 9 8 8 9 9 9 9 9 8 8 8 9 9 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 10 9 8 8 8 8 8 9 10 9 9 9 9 9 9 7 6 5 5 6 6 7 8 8 nan
nan 7 6 6 7 7 7 7 7 7 7 8 9 9 8 8 7 8 8 8 8 8 9 9 9 7 6 6 6 7 8 9 10 11 12 12 12 12 13 14 14 13 12 12 11 10 11 11 11 11 11 11 11 11 10 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 6 5 5 4 5 5 6 6 7 7 8 7 7 7 7 8 8 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 8 7 8 8 8 9 9 9 9 9 10 10 10 11 11 11 10 9 9 9 9 9 9 9 9 8 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 8 8 9 9 9 9 9 10 9 8 8 8 7 6 5 4 6 7 8 8 8 9 10 nan
nan 6 6 6 6 7 7 7 7 7 6 7 8 8 8 8 8 9 9 8 8 8 8 8 8 7 6 7 8 9 10 11 12 12 12 12 12 13 14 14 14 13 12 11 11 11 12 12 12 12 12 12 12 12 11 11 10 9 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 5 5 5 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 11 11 10 9 9 9 9 9 9 9 9 8 7 7 8 9 9 9 8 8 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 8 9 9 9 9 9 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 9 9 9 10 10 10 9 8 8 7 7 6 6 5 5 5 6 9 10 10 9 9 9 9 nan
nan 5 6 6 6 7 7 7 7 7 7 7 7 6 7 8 9 9 9 8 7 7 6 6 6 7 8 9 11 12 12 13 13 11 10 10 11 12 13 14 14 14 12 10 10 11 12 12 12 11 11 11 12 12 12 12 11 10 9 8 8 8 7 7 7 8 8 8 7 7 7 8 8 8 8 7 6 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 11 11 10 10 10 11 11 11 10 11 11 11 11 11 10 10 10 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 9 8 7 8 9 9 8 9 10 11 12 11 12 11 11 10 9 9 9 9 8 8 9 9 10 10 9 9 9 9 9 8 6 6 6 5 5 6 6 6 6 7 9 10 11 11 10 9 9 9 nan
nan 5 6 6 6 7 7 7 7 8 8 8 8 7 8 8 9 8 8 8 8 8 7 7 7 9 10 12 12 12 12 12 12 10 9 9 10 11 12 13 14 14 12 9 9 10 11 11 11 10 10 10 11 11 12 12 11 10 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 10 11 11 11 10 10 11 11 11 10 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 9 7 7 8 8 9 8 8 9 10 11 11 11 11 11 10 9 10 10 10 9 9 9 10 10 10 8 7 6 5 4 4 5 5 5 6 6 7 7 7 7 8 9 10 12 12 10 9 9 9 nan
nan 6 6 6 7 7 8 7 8 8 9 9 9 9 9 9 8 7 8 9 9 10 10 10 10 11 11 12 12 11 10 10 10 10 9 9 9 10 10 11 12 13 12 10 10 11 11 11 10 10 9 9 9 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 10 11 10 10 11 11 11 11 11 10 10 10 11 10 10 8 8 9 9 10 10 11 11 11 11 11 10 10 10 11 11 12 12 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 10 10 11 10 9 8 7 8 9 9 8 8 8 9 9 10 11 11 11 10 10 10 10 10 9 9 9 10 9 7 5 4 3 2 3 5 6 6 7 7 8 8 8 8 8 8 9 11 12 12 11 10 9 9 nan
nan 8 7 7 8 8 8 7 8 8 9 9 9 9 9 9 8 8 9 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 9 10 11 11 11 11 11 11 11 10 10 9 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 10 10 9 9 9 10 10 9 9 8 8 8 9 9 9 8 8 8 8 9 10 10 11 11 10 10 10 10 10 11 11 12 13 12 11 10 9 9 9 10 10 10 10 10 10 10 11 10 10 9 10 10 10 10 10 9 8 8 8 9 9 8 8 7 8 8 9 10 10 11 11 11 10 10 9 9 9 8 8 7 5 3 2 3 5 7 8 8 8 8 8 8 8 8 7 8 9 10 11 12 11 11 10 9 9 nan
nan 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 9 10 11 11 10 9 8 8 8 9 9 9 8 8 8 8 8 9 9 10 10 9 9 8 6 7 8 9 10 10 10 11 12 11 11 10 9 7 6 5 5 5 6 7 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 7 7 7 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 10 10 11 12 12 12 12 11 10 9 9 9 9 10 10 10 9 9 10 10 10 9 9 10 10 9 9 9 9 9 9 9 9 8 7 7 7 8 8 8 8 9 10 10 10 10 10 9 8 8 7 7 6 4 4 4 6 8 9 10 9 8 8 8 8 8 8 8 8 10 11 12 12 11 10 10 9 9 nan
nan 10 10 11 10 10 9 8 8 8 7 6 6 6 6 7 9 10 11 10 9 8 8 7 7 8 8 8 8 8 8 8 8 8 9 10 11 11 10 10 9 8 7 8 8 8 9 11 13 13 12 12 11 9 8 8 7 7 7 8 8 8 8 8 8 9 9 9 10 10 9 9 9 8 8 8 7 8 8 8 8 7 5 4 5 6 6 6 6 6 6 7 7 8 8 8 8 8 9 9 9 9 10 10 9 9 9 9 10 10 11 12 12 11 11 10 9 9 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 8 9 9 10 10 9 8 7 7 7 7 7 8 8 9 10 11 10 10 10 10 9 8 7 6 6 5 6 7 8 9 9 9 8 7 8 8 8 8 8 9 10 11 12 12 12 11 9 9 9 9 nan
nan 10 11 10 10 9 8 8 7 7 6 6 6 7 8 9 10 10 10 9 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 10 11 11 11 12 11 11 10 9 8 8 9 11 13 13 13 12 11 10 10 11 11 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 7 7 7 8 8 8 7 6 5 4 4 5 5 6 6 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 11 11 10 10 9 8 8 8 8 8 8 8 8 8 8 9 10 9 9 9 9 8 7 8 8 8 9 10 10 9 8 7 7 6 6 6 7 9 10 11 11 10 10 10 10 9 8 7 7 7 7 8 9 9 9 9 7 7 7 8 9 9 9 10 10 11 12 13 13 11 10 9 8 8 8 nan
nan 10 10 9 8 8 7 7 7 7 7 7 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 10 10 10 10 11 11 11 11 11 11 10 9 10 11 13 13 12 11 10 10 10 12 12 12 11 11 10 9 9 8 8 7 8 8 8 8 9 8 8 7 6 7 7 8 8 8 8 7 6 6 5 5 5 6 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 7 7 7 7 7 8 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 7 7 7 8 9 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 10 9 8 8 9 9 9 9 10 10 11 12 13 13 12 10 9 8 8 8 8 nan
nan 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 11 11 11 13 13 12 10 9 9 10 11 12 12 12 11 11 10 9 9 8 7 7 7 8 8 8 8 8 7 6 7 7 8 8 8 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 7 7 8 8 7 8 9 10 10 9 9 9 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 8 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 10 10 11 10 10 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 11 11 12 12 11 9 8 7 6 7 7 7 nan
nan 8 8 8 8 9 10 10 10 10 9 9 8 7 7 6 6 7 7 7 7 7 6 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 9 10 11 11 12 14 14 12 10 9 8 8 9 10 11 11 10 10 9 9 9 8 7 7 6 6 6 6 7 8 8 7 7 7 7 8 8 8 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 9 9 9 9 10 10 10 9 8 8 8 8 8 9 9 9 9 8 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 11 11 11 11 11 9 7 6 5 5 6 6 6 nan
nan 8 8 9 9 10 10 10 9 9 8 7 6 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 7 7 8 9 10 11 13 14 13 11 9 7 6 6 7 9 9 9 9 8 8 8 7 6 6 5 4 4 5 6 7 7 7 7 7 7 7 7 7 7 8 7 6 6 6 6 6 7 7 7 7 7 8 8 9 9 10 10 10 10 10 9 10 10 10 10 10 10 11 10 9 8 8 8 7 7 8 9 9 9 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 8 9 10 10 10 10 10 9 7 5 4 4 6 7 7 7 nan
nan 8 9 10 10 11 10 9 8 8 7 6 4 4 4 5 6 6 6 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 9 11 13 13 11 10 8 7 6 6 7 8 9 8 8 8 8 7 6 5 5 5 6 7 8 8 7 7 7 8 8 6 6 7 8 9 8 7 6 5 6 6 6 7 7 7 8 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 11 10 10 10 10 9 8 7 7 8 9 9 9 8 7 7 8 9 10 10 9 9 9 9 9 9 9 8 8 8 9 10 10 9 9 9 10 10 10 9 9 8 9 9 10 11 11 11 10 9 9 8 8 8 8 8 8 9 10 10 9 8 8 9 9 9 9 9 7 5 3 3 5 7 7 8 8 nan
nan 9 10 11 11 11 10 9 8 8 7 5 4 4 5 6 6 6 6 6 5 5 5 5 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 6 6 7 7 9 11 12 11 10 9 8 8 7 7 7 8 8 7 8 8 7 7 6 6 6 8 8 9 8 8 7 7 8 8 6 6 7 9 10 9 7 6 5 5 6 7 7 7 7 8 9 9 10 11 11 12 11 10 10 11 11 10 10 9 10 10 10 10 10 10 9 8 8 8 8 8 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 9 9 8 9 9 10 9 9 9 10 10 10 9 9 9 9 9 9 9 10 11 11 10 9 9 9 9 9 9 8 8 9 9 10 9 8 8 8 8 8 9 8 5 3 2 4 6 7 8 8 7 nan
nan 10 11 12 11 10 9 7 7 7 7 6 5 6 7 7 7 7 7 6 6 5 5 5 5 6 6 6 6 6 7 7 7 6 6 6 6 5 5 5 5 6 6 6 6 6 7 7 7 8 9 10 10 10 9 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 8 7 7 7 8 9 8 8 8 8 8 7 8 8 8 8 8 8 8 9 10 11 12 11 11 10 9 10 10 10 10 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 7 8 8 8 9 9 9 8 8 9 9 9 9 9 9 9 9 10 9 9 9 9 10 10 10 9 9 9 8 8 8 9 9 9 9 9 8 8 9 9 9 9 8 7 8 9 10 9 9 8 8 8 8 8 6 4 3 3 5 7 8 8 7 6 nan
nan 10 11 10 9 8 6 6 6 7 7 8 8 8 8 8 8 7 7 6 5 5 5 5 6 6 6 5 5 5 6 7 7 7 6 6 6 6 5 5 5 5 5 6 6 7 7 7 7 7 8 9 10 10 10 10 9 8 8 8 8 9 10 9 9 8 7 7 8 8 8 8 8 8 8 8 7 6 6 7 8 9 8 8 9 10 10 10 10 10 9 8 8 7 8 9 10 10 11 11 10 9 8 9 9 9 9 9 9 9 10 10 10 9 9 8 7 8 8 8 7 7 7 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 10 9 9 9 9 9 10 10 10 9 8 8 8 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 7 6 4 3 4 6 7 8 7 7 6 nan
nan 9 9 8 7 6 6 6 7 8 9 9 9 8 7 7 7 7 6 5 4 4 4 6 7 7 6 5 5 6 6 7 7 7 7 7 7 6 5 5 4 4 5 6 7 7 8 8 8 8 8 8 9 9 10 10 11 10 9 9 8 9 9 10 10 9 9 8 8 8 8 8 8 7 8 8 8 6 5 6 8 10 9 9 10 10 10 10 10 10 10 9 8 7 7 7 8 9 10 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 7 7 7 6 6 7 7 8 8 8 8 8 8 7 7 8 8 9 9 9 8 7 6 5 5 5 5 7 8 8 7 6 6 nan
nan 8 8 8 7 7 7 7 8 9 9 9 8 7 6 6 6 5 4 3 3 4 5 6 6 6 6 6 6 6 6 6 6 6 7 8 7 7 5 4 3 3 4 6 6 7 7 7 8 8 8 8 7 7 8 9 10 10 9 9 8 8 8 10 11 10 10 9 9 9 9 8 7 8 9 10 9 7 5 6 8 10 10 9 9 9 9 9 9 10 10 9 8 6 5 5 6 8 8 8 8 8 8 9 9 8 8 8 7 8 9 9 9 8 7 7 7 7 7 7 8 8 7 7 7 7 7 7 8 8 8 8 7 8 9 10 10 9 8 9 9 9 9 9 8 8 8 8 8 7 7 6 6 7 7 6 6 7 8 8 7 7 7 7 7 7 7 7 8 10 10 10 8 7 7 6 6 6 7 7 8 8 8 7 7 7 nan
nan 8 8 8 8 8 7 8 8 9 9 8 7 6 5 5 5 4 3 3 4 5 7 7 6 6 6 7 7 6 5 4 4 5 5 6 6 6 5 4 3 4 5 6 6 6 6 5 6 6 6 7 7 7 7 8 9 9 9 8 7 7 7 9 10 11 11 10 10 10 9 7 7 8 9 10 9 8 7 7 8 10 10 9 9 9 9 9 9 9 9 9 8 6 4 3 5 7 8 8 7 6 7 8 9 9 8 7 7 7 8 9 9 9 7 7 7 7 7 7 8 8 7 7 7 7 7 8 8 8 8 8 7 7 9 10 10 9 8 9 9 9 8 8 8 8 8 8 7 7 7 7 6 7 7 7 7 8 8 8 7 7 7 7 7 7 7 8 10 11 11 10 9 8 8 9 9 9 8 9 9 9 8 8 8 8 nan
nan 8 8 8 8 7 7 7 8 7 7 6 5 5 5 6 5 3 4 5 6 7 8 8 7 6 6 7 7 6 6 5 4 4 3 4 5 5 5 5 6 6 6 7 7 6 6 5 5 5 5 6 7 8 8 8 8 9 9 8 7 6 6 7 9 11 12 11 11 11 9 7 7 8 9 8 7 8 8 9 9 10 10 9 9 9 9 9 9 9 9 8 8 6 4 3 4 6 7 8 7 7 7 8 8 8 8 7 7 7 7 8 9 8 8 7 7 7 7 7 8 8 8 7 7 7 8 8 9 8 8 7 7 7 8 9 9 9 8 9 9 8 8 7 8 8 8 7 7 7 7 7 7 8 8 8 8 9 9 8 8 7 7 7 8 7 8 9 10 11 10 10 10 11 11 11 10 9 9 9 10 10 9 9 9 9 nan
nan 8 8 8 7 7 7 7 7 6 6 5 6 6 6 6 5 5 6 6 7 8 8 8 7 7 6 6 7 6 6 6 5 5 5 5 5 6 6 6 7 7 8 8 8 8 7 7 6 6 6 7 7 8 9 9 9 9 8 7 7 6 6 7 8 10 10 10 9 9 8 7 7 8 8 7 7 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 6 5 4 5 6 7 8 8 8 8 8 8 8 9 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 6 7 8 9 9 8 8 8 8 8 7 7 8 8 8 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 9 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 nan
nan 8 8 7 7 7 7 7 6 6 6 7 7 7 7 7 6 6 6 7 7 8 8 8 7 7 7 6 6 6 6 6 6 6 7 6 6 6 6 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 7 7 6 6 7 7 8 9 8 8 7 6 6 7 8 9 8 9 10 11 11 11 9 9 8 8 8 8 8 8 8 8 8 8 7 6 5 4 5 6 8 9 9 8 8 8 8 9 9 8 8 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 8 9 9 9 9 10 10 10 10 9 9 9 nan
nan 8 7 7 7 7 7 6 6 6 7 7 7 7 7 6 5 5 6 7 8 8 8 8 7 7 7 7 7 6 6 7 7 7 7 7 6 6 6 6 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 7 9 10 10 11 11 11 11 11 9 9 9 9 9 9 9 9 9 9 8 8 7 6 5 4 4 6 8 9 9 8 8 7 8 9 9 9 8 8 7 7 7 8 7 7 7 8 8 8 8 9 9 9 9 8 8 8 7 7 8 8 8 7 7 6 7 7 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 nan
nan 7 7 7 6 6 6 6 6 6 6 7 7 7 6 6 5 6 6 7 7 7 7 7 7 7 7 6 6 6 7 7 7 8 7 7 6 6 6 6 6 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 8 7 7 6 6 6 6 7 7 8 10 11 12 11 11 11 11 10 9 10 10 10 10 9 9 9 9 8 8 7 7 6 5 4 5 6 8 9 9 9 8 7 7 8 9 9 8 8 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 8 8 7 7 7 8 7 7 7 7 6 7 7 7 7 7 8 8 8 8 7 6 6 7 8 8 8 8 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 8 8 8 8 8 8 8 9 10 nan
nan 7 7 6 6 6 6 6 6 6 7 7 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 8 8 8 8 7 6 6 6 6 6 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 8 7 6 6 6 8 8 8 9 10 12 13 12 10 10 9 9 9 10 11 11 11 10 9 9 8 7 7 7 7 6 6 5 5 6 7 8 9 8 8 7 7 7 7 8 8 7 7 6 7 7 7 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 8 8 9 9 8 7 7 6 7 8 8 8 8 8 8 8 8 9 9 10 10 11 11 10 10 10 10 10 10 9 8 8 7 8 8 8 8 7 7 7 7 8 9 10 10 nan
nan 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 8 9 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 6 6 6 6 7 8 9 9 9 9 8 8 8 8 8 8 7 7 8 8 8 7 7 8 9 9 9 9 8 7 7 8 9 9 9 9 11 13 13 12 10 9 9 9 9 9 10 10 10 9 8 8 7 7 7 6 6 6 6 5 4 5 6 7 8 7 6 6 6 6 7 7 7 6 6 6 7 7 8 8 8 9 9 8 8 8 8 8 7 7 7 6 6 6 6 7 8 8 8 7 7 7 8 8 9 9 9 8 8 7 7 6 7 7 8 8 8 8 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 8 8 7 8 8 8 7 7 8 8 8 8 10 11 11 nan
nan 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 8 6 6 7 7 7 7 6 6 7 8 9 9 9 9 9 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 9 9 9 9 8 8 9 10 10 9 9 11 13 12 11 11 10 10 9 9 9 9 9 8 8 7 7 7 7 7 6 6 6 5 5 4 5 6 7 7 7 7 6 6 7 7 8 8 7 7 7 7 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 6 7 7 8 9 9 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 9 10 11 11 10 nan
nan 8 8 8 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 10 9 8 7 7 8 8 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 9 9 10 11 11 9 9 10 11 10 10 10 11 11 11 11 11 11 11 10 9 9 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 7 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 8 8 8 8 7 7 7 8 8 8 8 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 11 10 10 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 10 10 11 10 10 nan
nan 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 9 9 9 11 12 12 11 10 9 10 10 10 9 9 9 9 9 9 10 12 13 11 10 9 9 9 8 8 7 7 7 7 7 7 7 7 6 7 8 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 9 10 11 11 11 10 10 10 10 9 9 9 9 8 8 7 8 8 8 9 9 8 8 9 9 10 10 10 9 9 nan
nan 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 7 7 7 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 10 10 12 13 13 12 10 9 10 10 10 9 9 8 7 7 7 9 11 12 12 10 9 9 9 9 8 7 7 7 7 8 8 7 6 6 7 8 9 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 8 8 8 8 9 10 10 9 9 9 8 8 7 6 7 8 8 8 8 9 9 10 10 10 11 10 10 10 10 9 8 7 7 8 10 11 12 12 11 10 10 10 10 10 10 10 10 10 10 9 8 8 9 9 9 9 8 8 8 8 9 9 9 8 8 nan
nan 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 7 8 8 7 7 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 10 10 10 11 12 13 13 12 11 10 10 10 10 9 9 8 7 6 6 8 9 10 10 9 8 8 8 8 8 7 7 8 8 8 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 7 8 9 10 10 9 9 9 9 8 7 7 8 9 9 9 10 10 10 11 11 10 10 10 9 9 8 7 6 6 8 10 11 11 11 11 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 8 8 7 nan
nan 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 10 10 11 12 12 12 12 12 12 12 11 11 10 9 8 8 9 8 8 9 9 8 8 7 7 6 6 6 6 7 7 8 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 8 9 10 10 9 8 8 9 9 8 8 9 9 9 10 11 11 10 10 9 8 8 7 7 7 6 6 6 8 9 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 8 8 8 8 9 8 8 8 8 8 8 9 9 8 8 7 nan
nan 8 8 7 7 7 7 7 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 12 12 11 10 9 8 8 9 10 11 11 11 10 9 8 7 7 6 6 6 7 7 8 9 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 8 8 8 8 9 10 10 9 8 7 8 9 9 9 9 9 9 9 11 12 11 10 8 7 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 7 nan
nan 7 7 7 6 7 7 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 10 9 8 8 8 9 11 11 12 12 11 9 8 7 7 7 7 7 7 8 9 9 9 9 8 8 9 9 8 8 8 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 9 8 9 9 9 9 8 8 8 9 10 11 10 8 7 8 8 9 9 9 8 8 8 9 10 11 10 9 7 6 6 7 9 10 10 10 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 nan
nan 6 6 6 6 7 7 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 9 8 8 7 8 9 10 10 11 11 10 9 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 10 11 11 9 7 8 9 9 9 8 7 7 7 7 8 9 10 10 8 7 7 8 9 9 10 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 8 8 8 9 9 10 10 10 10 9 9 9 9 8 8 8 8 nan
nan 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 6 7 7 7 7 7 7 8 8 8 9 9 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 8 8 9 9 9 8 8 7 8 9 9 9 10 10 10 9 9 8 7 7 7 7 8 7 7 7 7 7 7 6 6 5 6 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 12 12 10 8 7 9 10 10 9 7 7 7 7 7 7 8 9 9 8 8 8 8 8 9 10 11 12 11 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 nan
nan 8 8 8 8 8 9 9 8 9 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 7 7 6 6 6 7 7 7 7 8 8 9 9 10 11 11 11 10 10 9 9 9 8 8 8 8 8 9 9 9 10 10 10 9 8 8 9 9 10 9 9 8 9 9 9 8 7 7 7 7 7 7 7 8 9 10 9 8 6 5 6 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 12 12 11 9 7 9 10 11 11 8 7 7 7 7 7 7 8 8 7 7 8 8 8 8 8 9 10 10 8 7 7 8 9 10 10 10 11 11 11 11 11 11 11 11 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 nan
nan 8 8 7 8 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 9 9 10 10 9 9 8 7 7 6 6 6 6 7 7 8 8 9 10 10 11 11 11 10 9 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 8 7 7 8 8 8 8 7 7 7 7 8 8 9 10 11 10 8 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 11 12 11 10 8 8 10 11 12 11 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 9 9 9 8 8 8 8 9 9 10 10 11 11 10 10 10 10 9 9 9 8 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 nan
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nan 7 8 9 10 10 10 11 11 11 11 11 11 11 10 10 11 10 10 8 7 6 5 5 5 5 6 7 8 9 9 8 8 8 8 9 10 11 12 12 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 10 11 12 11 11 12 12 13 13 13 12 11 10 10 10 10 11 11 12 12 13 13 13 13 13 13 13 14 14 14 15 16 16 17 16 14 11 8 8 8 8 7 6 5 4 3 2 2 3 7 13 17 17 15 12 10 10 10 10 9 9 9 10 10 11 12 12 11 10 10 11 11 10 7 3 1 2 4 8 11 13 12 10 8 6 4 3 3 3 4 6 8 12 16 18 18 17 16 14 12 11 10 9 9 10 11 12 14 15 nan
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nan 8 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 9 7 6 5 5 5 6 7 8 9 9 9 8 8 8 8 8 9 10 10 10 10 11 11 11 12 12 11 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 12 11 12 12 14 15 16 15 13 12 11 11 12 13 14 15 15 16 16 15 14 14 14 13 13 13 14 14 14 14 14 13 12 9 7 7 7 8 8 8 7 6 6 5 4 2 2 5 11 14 16 16 13 11 11 10 10 9 9 9 10 12 13 14 13 12 12 12 13 13 12 10 10 10 10 11 13 12 9 7 5 3 1 -1 -1 1 3 5 8 12 17 19 20 19 16 14 13 11 11 10 10 10 11 12 12 13 13 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 6 5 5 5 6 7 8 9 10 10 9 8 8 8 8 9 10 11 11 10 10 10 10 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 11 11 12 12 12 12 13 14 15 15 14 13 12 13 13 14 15 16 16 15 14 13 12 12 12 12 12 12 11 11 12 12 12 12 11 9 7 7 7 7 8 8 7 7 7 6 5 4 3 2 4 9 13 17 16 13 12 11 10 9 8 8 8 10 12 13 13 13 13 13 13 13 12 12 13 14 15 15 15 14 10 6 3 1 -0 -1 -1 0 2 4 6 9 14 18 19 19 17 15 13 12 11 10 10 10 10 11 11 12 12 12 nan
nan 10 10 10 10 9 9 9 9 9 9 10 9 10 10 9 9 8 7 6 5 5 6 7 8 9 10 10 10 9 8 8 8 9 10 11 11 10 10 10 9 10 10 10 10 10 10 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 9 10 10 11 12 12 12 13 13 14 14 14 14 13 13 13 13 14 15 15 15 15 14 14 12 11 10 10 10 10 11 11 10 10 9 9 10 10 9 8 7 7 8 8 9 8 7 7 6 5 4 4 3 2 3 7 12 16 16 14 12 11 10 8 7 6 7 10 13 13 12 12 13 13 12 11 11 12 13 15 16 16 16 14 10 6 3 2 2 3 3 4 5 6 8 11 14 17 18 18 16 14 13 12 11 10 10 10 10 11 12 12 12 11 nan
nan 11 11 11 11 10 10 10 9 9 9 9 10 10 10 9 9 7 6 5 6 6 7 8 8 9 10 10 9 8 8 8 8 9 10 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 14 15 15 14 13 13 13 14 14 14 14 13 12 11 11 11 10 9 9 9 10 10 10 10 10 9 8 8 8 8 9 8 8 8 9 9 9 8 7 6 5 5 4 3 3 2 3 6 10 14 15 14 12 11 9 8 6 6 8 12 14 13 11 10 10 10 10 11 11 12 13 14 15 15 15 14 12 9 6 6 6 6 6 6 6 7 9 11 13 15 16 15 14 14 13 12 11 10 10 10 10 11 12 12 12 11 nan
nan 11 11 11 11 11 11 10 10 9 9 9 9 10 9 9 8 6 5 5 6 7 7 8 9 10 10 9 9 8 8 8 9 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 11 11 10 10 10 10 11 13 14 14 14 14 15 15 15 14 14 14 14 14 14 13 11 9 8 7 7 8 8 8 8 8 10 10 10 10 10 9 8 8 8 8 9 9 9 9 9 10 9 9 7 5 4 4 4 3 3 2 3 5 8 11 13 14 13 11 9 8 7 7 9 13 13 12 10 9 9 9 9 10 11 12 12 13 13 13 14 13 11 8 6 7 7 7 7 6 7 8 9 11 13 14 14 14 14 14 13 12 11 10 10 10 10 11 12 11 11 11 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 6 5 6 6 7 8 8 9 10 10 9 9 8 8 9 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 15 15 15 16 16 16 15 15 14 14 14 13 12 11 9 8 7 6 7 7 7 7 8 8 9 10 10 11 11 10 10 9 9 9 9 9 9 9 10 10 10 9 7 5 3 3 3 3 3 3 3 4 6 9 12 14 14 13 10 8 7 8 10 12 11 10 10 9 9 9 9 9 10 11 12 11 11 11 11 10 7 5 5 6 7 7 7 7 7 8 10 11 12 13 14 14 14 13 13 12 12 11 10 9 10 10 10 10 10 12 nan
nan 9 9 9 9 9 9 10 10 11 11 11 10 9 8 8 7 7 7 7 7 8 8 9 10 10 10 9 9 8 9 10 10 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 13 13 14 15 16 17 18 18 18 17 16 15 13 12 11 10 10 9 8 8 8 8 7 7 8 8 8 9 9 10 11 11 12 11 11 11 10 10 10 9 9 9 9 9 9 9 8 5 4 3 4 4 4 3 4 4 5 8 13 16 16 15 12 9 8 9 10 10 10 10 10 10 9 9 9 10 10 11 11 10 10 9 8 7 5 4 4 5 7 7 7 7 8 9 11 11 12 12 13 13 13 13 14 13 12 10 8 7 8 8 8 10 13 15 nan
nan 9 9 9 9 9 9 9 10 11 11 11 11 10 9 8 7 7 7 8 8 9 9 10 10 10 9 9 8 8 9 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 14 15 15 15 15 15 17 18 19 21 21 20 18 15 13 12 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 10 10 9 9 8 8 7 8 8 7 6 5 5 6 6 5 4 4 4 5 9 14 16 16 14 11 10 9 9 8 8 8 9 9 9 9 10 10 10 10 11 10 10 9 9 8 7 5 3 4 5 7 7 7 8 9 11 12 12 12 12 12 14 15 15 16 14 12 8 5 4 5 8 12 16 19 19 nan
nan 10 10 10 10 9 9 9 10 11 11 11 10 9 8 7 7 6 7 8 8 9 10 10 10 10 9 9 8 8 9 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 13 13 13 14 14 14 14 14 15 16 16 16 16 17 18 20 20 19 18 16 14 12 12 11 10 9 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 11 10 10 9 8 7 6 6 6 6 6 7 8 8 7 5 5 5 5 6 10 13 15 14 11 9 8 8 7 6 7 8 8 8 9 10 10 11 11 11 11 10 9 9 9 8 7 5 3 4 5 6 6 7 9 10 12 12 12 12 12 14 16 17 18 17 13 9 5 2 3 6 11 17 22 23 21 nan
nan 11 11 11 11 10 10 9 10 10 10 9 9 8 7 6 6 6 6 7 8 10 11 11 11 10 10 8 8 8 9 10 10 11 11 11 11 10 10 9 10 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 14 14 15 16 17 17 18 18 18 18 16 13 11 10 9 10 10 11 11 10 9 8 7 8 8 8 8 8 7 8 9 9 9 9 9 10 10 11 12 12 11 11 10 10 10 9 9 9 7 6 5 5 6 8 10 10 8 6 5 5 6 8 10 11 11 10 7 6 5 4 4 6 8 9 9 9 10 11 11 11 11 11 11 10 9 9 8 8 7 5 3 4 5 5 7 8 10 12 12 12 12 12 13 16 19 21 21 15 9 4 1 2 6 11 16 20 22 21 19 nan
nan 10 10 10 10 10 10 9 9 9 9 8 7 7 6 6 6 7 7 7 9 10 11 12 11 11 10 8 8 8 8 9 10 11 11 11 11 10 9 9 10 11 11 11 11 11 10 10 10 10 11 11 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 13 14 15 16 17 18 19 18 15 12 9 7 6 7 8 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 10 9 9 9 9 10 10 9 8 7 6 6 8 10 10 8 5 4 5 6 8 10 10 9 8 6 4 3 3 5 10 12 12 11 12 13 13 13 12 12 11 11 10 9 9 10 10 7 4 3 3 4 6 8 10 12 12 12 12 13 14 16 20 22 24 20 12 5 1 0 5 11 16 19 20 21 20 19 nan
nan 8 8 8 9 9 9 9 9 9 8 7 7 6 6 6 7 7 8 8 9 10 11 12 12 11 10 8 7 8 8 9 10 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 12 13 13 13 13 13 13 12 12 12 13 13 13 13 13 14 15 16 16 17 18 17 14 11 7 5 4 5 7 8 9 9 10 10 10 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 10 11 10 10 9 7 7 9 9 8 5 3 3 5 7 9 10 10 10 10 9 7 5 6 10 14 14 14 13 14 15 15 14 13 12 11 10 9 9 9 9 8 5 2 1 2 5 8 10 12 12 12 12 13 14 16 19 20 21 19 13 6 1 0 4 10 15 18 20 21 22 22 21 nan
nan 9 8 8 9 9 9 9 9 9 8 7 7 6 6 6 7 7 8 9 10 11 12 12 12 11 10 8 8 8 8 9 10 10 11 11 10 10 10 10 11 10 10 10 11 11 11 10 10 10 11 11 12 13 13 13 13 13 13 13 14 14 15 15 16 17 18 18 18 18 17 16 15 13 10 8 6 5 5 6 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 11 11 12 11 10 9 9 9 9 9 10 10 11 11 11 10 10 10 9 8 5 1 0 2 5 8 10 11 11 12 12 11 9 8 10 13 14 14 13 14 15 15 14 13 12 11 10 9 8 7 6 4 2 -1 -2 0 4 8 11 12 13 12 13 14 15 16 18 19 18 14 9 3 0 -0 3 9 15 18 20 21 22 23 22 20 nan
nan 10 10 10 10 10 10 10 10 9 9 8 7 6 6 6 7 8 9 10 10 11 12 13 13 12 10 9 8 8 8 9 10 10 10 10 10 10 11 11 10 10 10 10 11 11 11 11 11 11 11 11 12 13 13 13 13 14 14 15 16 16 17 18 19 20 20 20 19 18 17 15 12 10 8 7 6 6 6 7 7 8 8 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 9 9 10 10 10 11 11 11 10 10 9 9 9 9 10 10 10 10 11 11 12 12 10 8 4 1 2 5 8 10 11 12 12 12 11 11 10 11 13 14 13 13 14 14 14 13 12 11 11 10 9 7 5 3 1 0 -1 -1 1 4 8 12 13 14 13 14 15 17 19 20 21 19 15 10 5 2 1 3 9 14 17 20 22 23 23 22 21 18 nan
nan 10 10 11 11 12 12 12 11 11 9 9 8 7 6 7 8 9 10 10 11 11 12 13 13 12 11 10 9 8 8 8 9 10 10 10 11 11 11 11 10 9 9 10 10 11 11 12 11 11 12 12 12 12 13 13 14 14 15 15 16 17 18 18 18 18 17 17 16 15 14 12 11 10 9 8 8 7 7 7 8 8 9 9 9 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 12 12 10 8 6 6 8 10 12 12 13 13 13 12 11 10 11 12 13 13 13 14 16 16 15 13 12 10 9 7 5 2 0 -1 -0 1 3 6 9 12 14 14 15 15 16 18 20 22 23 23 22 19 16 11 8 7 7 10 13 17 20 22 24 24 23 21 19 16 nan
nan 9 10 11 12 13 13 13 13 12 11 10 9 8 8 8 9 10 11 11 11 11 12 13 14 13 13 11 10 8 7 7 8 9 10 10 11 11 11 10 10 9 9 9 10 11 12 12 12 12 12 12 12 12 13 13 14 15 15 15 16 16 16 15 15 14 13 13 12 12 12 11 11 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 9 9 8 9 9 10 10 10 11 11 11 11 11 11 10 9 9 12 14 15 15 15 16 15 14 12 11 11 12 12 13 13 13 15 17 17 16 14 11 7 3 1 -0 -1 -0 1 4 8 12 15 17 17 17 17 18 19 21 22 23 24 23 22 20 18 15 13 10 9 10 12 16 19 22 25 25 23 21 18 16 15 nan
nan 10 10 11 12 13 14 14 13 13 11 10 10 10 11 11 12 13 13 12 11 11 12 13 14 14 14 13 11 8 7 7 7 8 9 10 11 11 11 10 10 9 9 10 10 11 12 12 12 12 12 12 12 13 13 13 14 14 14 14 14 14 14 13 12 12 12 11 11 11 11 11 10 10 10 9 9 9 9 9 9 10 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 10 10 11 10 9 9 9 9 10 10 11 11 11 12 12 11 11 11 11 12 14 16 17 18 18 17 15 13 12 12 13 14 13 13 12 12 14 16 16 15 13 8 3 1 1 2 4 6 10 14 18 21 21 21 20 20 21 23 23 24 24 23 21 19 16 14 12 10 9 8 9 11 15 18 21 24 26 23 21 18 15 14 14 nan
nan 9 10 10 11 12 13 13 12 12 11 11 11 12 14 15 15 14 13 12 11 11 11 12 13 14 14 13 11 9 7 7 7 8 9 10 11 11 11 10 10 10 10 11 11 12 12 12 11 12 12 12 13 14 14 14 14 14 14 13 13 12 12 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 11 10 10 9 10 10 10 11 12 12 12 12 12 11 11 12 12 13 14 15 16 16 15 13 12 14 16 17 16 14 13 13 13 15 16 17 17 13 8 6 6 8 11 14 16 20 23 25 25 23 21 21 21 22 22 21 20 19 17 14 12 10 9 8 6 6 8 11 15 18 21 23 25 23 20 18 15 14 14 14 nan
nan 9 9 10 10 11 11 11 11 11 11 11 12 13 14 14 14 13 12 11 11 11 11 11 12 13 14 13 12 10 8 7 7 8 9 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 13 13 14 15 15 15 15 14 14 13 12 11 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 12 11 11 10 10 9 10 12 13 13 12 12 11 11 11 11 11 11 12 13 13 13 12 12 13 17 19 19 18 15 14 14 16 19 20 21 21 17 14 13 14 17 19 21 22 24 25 23 21 18 16 16 16 16 15 14 14 12 11 9 8 8 9 9 10 11 14 16 19 20 22 22 22 20 17 15 14 14 14 13 nan
nan 8 9 9 9 10 10 10 10 10 11 11 11 12 12 11 11 10 9 10 10 10 10 11 11 12 13 13 12 11 10 9 8 9 9 10 10 10 10 10 11 11 12 12 12 12 12 12 13 13 14 15 15 15 15 14 14 14 13 13 11 10 9 8 8 8 9 10 11 11 11 11 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 9 8 7 8 9 10 11 11 11 12 12 11 10 10 10 11 12 13 13 12 11 11 11 11 10 10 10 11 12 12 12 12 12 15 17 18 18 16 14 15 16 18 20 21 21 20 17 16 17 18 19 20 21 21 21 19 16 12 10 11 12 13 13 12 12 12 11 11 11 11 12 12 13 14 16 17 18 18 19 19 19 18 16 15 14 14 14 14 14 nan
nan 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 10 10 10 10 11 12 12 13 13 12 11 11 10 10 10 11 11 11 11 11 11 12 12 12 12 13 13 13 14 14 14 14 15 15 15 14 13 13 12 12 11 9 8 7 7 7 8 9 10 10 11 11 11 11 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 9 10 11 11 11 12 12 11 10 10 10 11 12 12 12 12 11 11 11 10 10 10 10 11 11 12 12 12 13 14 15 15 14 13 12 13 14 15 16 16 15 14 13 14 14 15 16 16 17 16 15 13 12 11 12 13 15 17 17 17 17 16 16 15 16 15 15 14 14 14 15 15 15 15 15 16 15 15 15 14 14 14 14 14 15 nan
nan 9 9 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 10 11 12 12 13 13 13 12 12 11 11 11 11 12 12 12 12 13 13 13 13 13 13 14 13 13 13 13 13 14 14 14 13 13 12 12 11 11 11 10 9 7 7 8 8 9 10 10 11 12 12 11 9 9 8 9 9 10 10 10 10 9 9 9 9 9 9 8 8 9 9 9 9 8 7 7 6 7 8 9 10 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 9 9 9 10 11 12 12 13 13 13 13 12 12 11 11 10 10 11 11 11 11 10 10 10 11 12 13 14 14 13 12 13 14 16 17 18 19 19 19 18 18 18 17 17 16 15 14 13 12 13 13 13 13 13 13 14 14 14 14 14 13 13 13 13 14 nan
nan 9 9 9 10 10 10 10 9 8 8 7 7 7 7 8 8 8 9 9 10 10 11 11 11 12 12 12 13 13 13 12 12 11 11 12 12 13 13 14 14 14 15 14 14 14 13 12 12 11 12 12 13 13 13 13 12 12 12 12 12 12 11 10 9 9 9 9 9 9 10 11 12 12 11 10 9 9 9 9 10 10 10 10 9 9 9 8 8 7 6 7 7 8 8 8 7 7 6 6 6 7 9 10 10 10 11 11 11 11 11 11 12 12 12 11 11 10 10 9 8 7 6 6 7 9 11 12 13 13 13 13 13 12 11 10 9 9 9 9 9 9 8 8 8 10 12 14 15 15 14 13 14 15 16 16 16 16 16 16 16 15 14 14 14 13 13 12 12 12 12 13 13 13 13 13 13 14 14 14 13 13 12 12 12 11 nan
nan 9 9 10 10 10 10 9 8 8 7 7 7 7 7 8 8 9 9 10 10 11 11 11 11 12 12 12 13 13 12 12 12 11 11 12 12 13 14 14 15 15 15 14 13 12 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 9 9 9 11 12 12 12 11 9 9 9 9 10 10 10 9 9 9 8 8 7 7 6 6 6 6 6 7 6 6 5 5 6 7 8 9 10 10 10 11 11 11 11 11 11 11 11 11 10 9 8 7 4 2 1 1 3 6 9 11 11 12 12 13 13 12 11 10 8 8 9 8 7 5 4 5 8 12 15 16 16 15 14 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 11 12 12 12 12 13 13 13 13 13 14 14 14 13 13 12 12 11 10 9 nan
nan 9 9 10 10 10 9 8 8 7 7 7 7 7 8 8 8 9 10 10 11 11 11 11 11 12 12 13 13 13 12 12 11 11 11 12 13 14 15 15 16 16 15 13 11 10 9 10 11 12 13 13 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 7 6 6 5 5 4 4 4 5 6 6 7 8 9 10 10 10 10 11 11 11 11 11 11 10 10 8 6 3 -0 -2 -2 1 5 8 10 10 10 10 11 11 11 10 8 6 6 6 6 5 3 -0 0 5 10 16 19 18 16 14 13 12 12 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 13 13 14 14 13 13 12 11 11 10 10 nan
nan 9 9 10 10 9 8 7 7 7 7 7 8 8 8 8 9 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 12 13 14 15 16 16 16 15 14 12 10 9 10 11 12 13 13 13 12 12 12 12 12 12 11 11 10 10 9 10 10 10 10 9 8 8 8 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 10 11 11 10 8 7 5 4 3 2 2 3 4 5 6 7 8 9 10 10 10 10 11 11 11 10 10 9 7 5 2 -1 -3 -2 1 5 9 11 12 12 11 10 10 9 8 5 4 3 3 4 3 1 -2 -3 2 9 17 23 22 18 15 13 12 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 12 12 11 11 11 nan
nan 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 13 13 13 14 15 16 16 16 15 14 12 11 10 10 10 11 12 13 13 13 13 13 12 12 12 12 12 11 11 11 10 10 10 10 9 9 8 8 8 8 8 8 8 9 10 10 10 9 9 10 11 12 13 11 10 9 9 10 10 10 9 7 6 6 5 3 1 1 1 2 3 4 6 8 8 9 10 11 11 11 10 9 7 6 3 1 -2 -3 -2 2 6 10 11 12 12 13 13 13 11 10 8 6 5 5 6 5 2 -1 -3 0 9 18 26 27 22 17 13 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 nan
nan 9 9 9 8 7 7 7 7 7 8 8 9 9 9 10 10 10 11 11 12 12 12 12 12 13 12 12 11 11 12 13 13 14 15 16 16 16 16 15 14 12 11 10 10 10 11 11 12 12 13 13 13 13 12 11 11 11 11 11 12 12 11 11 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 7 7 8 10 11 13 12 11 10 9 9 8 7 7 7 7 7 6 5 3 2 1 1 2 3 4 5 6 8 9 11 11 10 9 8 6 4 2 -0 -1 0 3 7 10 11 11 11 11 12 13 13 12 11 10 10 11 12 11 9 5 2 3 10 18 26 30 26 20 15 12 11 11 11 11 11 11 12 12 13 13 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 nan
nan 9 9 8 8 7 7 7 7 7 8 8 9 9 9 9 10 10 11 11 11 12 12 12 13 13 12 11 11 11 12 13 14 15 16 16 16 16 15 14 12 11 10 10 10 11 11 12 12 12 13 13 13 12 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 11 11 10 9 8 8 7 7 7 6 7 7 7 9 10 11 11 10 10 8 7 7 6 6 7 7 7 7 6 6 5 5 4 4 4 4 5 6 8 10 11 11 11 11 10 8 6 5 5 6 9 10 11 11 11 10 11 11 11 12 12 12 12 13 14 14 13 11 9 8 10 16 22 27 26 21 16 13 11 11 11 11 11 11 11 12 13 13 13 13 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 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
1161 983 829 713 653 606 544 456 356 264 185 125 89 67 58 69 104 162 233 309 376 441 484 503 514 535 549 547 547 537 518 502 496 515 576 642 664 648 642 689 748 813 939 1115 1290 1428 1526 1622 1735 1840 1865 1818 1719 1583 1420 1239 1084 973 899 840 783 727 669 620 591 577 576 588 616 661 732 767 860 924 938 908 837 743 657 617 595 559 504 443 378 333 309 324 356 373 374 398 439 437 459 462 437 403 380 372 365 365 363 347 323 300 274 243 210 179 156 143 131 106 83 66 64 78 85 68 33 14 10 6 4 3 4 6 10 9 5 3 3 2 2 1 0 0 1 2 3 5 7 10 8 5 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 1 1 3 5 5 7 9 9 9 8 6 4 2
1144 998 871 777 712 650 565 462 360 274 212 176 161 155 162 184 217 257 326 392 443 482 506 518 525 528 526 520 519 498 465 438 421 421 456 510 535 545 566 610 668 733 819 928 1034 1108 1158 1244 1351 1473 1540 1568 1550 1470 1318 1108 937 834 758 676 589 524 489 476 487 511 545 584 623 659 722 774 856 922 946 923 871 811 636 539 479 431 390 361 335 314 320 356 363 349 368 418 466 499 534 536 495 428 363 325 321 326 330 323 306 282 254 229 206 178 153 135 116 85 55 39 32 59 76 45 13 1 0 0 0 0 1 4 5 3 1 0 0 0 0 0 0 0 0 0 0 1 3 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 6 5 3 3 5 5 6 7 7 6 5 3 2 2 2
1118 1023 935 850 775 696 610 517 426 351 304 280 269 285 306 328 346 367 410 455 487 505 513 508 496 486 480 476 462 433 400 373 358 350 370 426 451 463 484 519 562 619 677 736 784 804 808 854 930 988 1017 1041 1056 1037 961 817 685 616 563 505 453 429 429 446 474 505 540 583 631 666 706 762 828 884 914 922 938 1016 809 596 467 415 396 382 367 367 397 408 401 400 417 448 495 566 619 622 571 488 407 319 297 300 307 301 276 250 218 200 182 163 146 127 100 71 37 18 8 50 93 55 2 0 0 0 0 0 1 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 4 6 8 7 4 3 3 2 2 6 6 5 5 4 3 2 1 4
1103 1047 988 914 832 746 667 591 520 462 424 403 406 410 403 406 420 438 457 481 504 504 493 475 453 434 421 404 378 347 319 299 288 283 300 330 336 342 360 380 404 441 471 497 507 512 524 545 595 602 584 562 546 527 496 452 417 406 391 377 380 407 447 480 509 527 547 580 620 656 685 728 777 816 843 865 885 992 864 680 569 529 509 489 485 488 479 483 484 472 459 447 458 508 567 624 645 588 499 356 274 256 267 261 224 198 166 152 134 121 112 97 69 46 20 7 2 36 81 52 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 1 3 5 6 7 8 6 3 1 1 0 0 4 6 6 5 4 4 1 0 4
1102 1054 1004 948 883 812 737 665 602 546 500 469 454 434 433 444 456 464 470 479 482 474 464 449 423 389 353 320 294 270 245 225 212 208 210 211 211 218 228 237 252 276 290 307 313 318 333 343 369 370 345 309 275 248 229 235 261 299 326 349 386 440 490 525 553 562 566 576 593 621 648 688 739 771 788 803 785 791 763 706 656 625 607 590 549 538 533 538 530 498 460 431 427 399 390 471 581 584 519 372 225 165 162 157 124 90 75 72 65 56 51 48 29 18 7 2 0 3 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 7 6 4 1 0 0 0 1 5 8 8 6 5 4 1 1 4
1111 1053 996 941 890 839 769 692 621 558 506 472 448 436 439 447 452 452 449 447 433 422 405 379 347 314 277 242 217 197 184 171 154 149 145 139 139 145 155 165 177 198 219 233 240 245 252 263 279 276 257 238 219 203 202 211 242 289 329 359 393 442 481 531 570 588 589 582 576 581 599 631 692 741 765 775 758 720 700 670 628 596 600 618 489 478 484 482 462 422 371 325 316 281 256 271 304 290 241 161 86 52 46 40 21 6 6 11 13 11 9 11 11 6 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 3 4 5 4 3 2 1 0 0 5 11 12 9 7 5 2 1 1 3
1077 1011 943 875 814 755 689 625 571 523 481 452 432 421 416 417 421 420 411 403 382 363 335 298 258 221 188 162 148 137 131 122 110 109 109 107 110 121 136 151 167 181 204 219 228 235 247 265 277 275 264 257 248 243 254 263 276 304 332 346 358 393 412 464 517 554 569 565 552 536 534 545 587 641 685 702 689 629 571 548 526 506 497 432 353 352 365 358 324 270 209 143 112 80 59 52 49 47 36 12 2 0 1 2 1 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 2 9 16 15 5 4 2 1 1 2 3
950 888 824 760 699 635 573 528 492 464 443 427 417 407 399 393 381 369 363 359 340 310 268 223 182 149 122 107 105 102 96 89 84 85 87 87 93 106 126 147 168 177 188 199 207 216 230 252 265 276 286 288 285 286 296 306 307 316 333 313 278 301 313 350 402 447 474 483 481 472 455 446 454 486 527 546 517 430 351 338 321 293 302 257 240 262 237 169 100 70 46 26 16 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 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 3 2 2 5 12 17 15 5 1 0 0 2 4 5
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