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 6 5 4 4 6 7 8 8 8 8 9 10 12 12 12 11 10 10 10 10 9 9 9 9 10 9 9 10 10 11 12 12 11 10 9 8 8 9 11 12 13 13 12 11 10 10 10 10 10 11 11 10 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 8 7 7 6 6 6 6 6 6 7 8 9 8 8 7 8 8 9 10 9 9 9 10 11 11 11 11 11 11 10 10 9 8 8 8 7 7 8 9 9 8 7 8 8 8 8 8 8 8 8 8 8 9 10 11 12 13 12 10 8 7 7 8 8 7 6 6 7 8 10 12 12 11 9 8 8 8 8 9 9 9 10 10 9 8 7 7 7 8 8 9 10 9 7 5 5 5 6 7 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 nan
nan 5 4 4 5 7 8 8 8 8 9 10 12 13 13 12 12 11 10 9 8 8 7 8 9 9 9 9 10 11 11 12 12 11 10 9 8 8 9 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 9 8 7 7 7 8 8 9 9 9 8 7 7 6 7 7 7 7 6 6 7 7 7 6 6 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 9 8 7 8 8 9 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 10 11 13 12 11 9 8 7 7 7 7 6 6 6 7 9 11 12 11 9 9 8 8 8 9 9 9 9 9 8 7 6 7 8 8 9 9 8 6 5 4 5 6 7 7 7 7 7 7 7 6 6 7 8 9 9 8 8 9 9 nan
nan 4 5 6 7 8 9 9 9 9 10 11 13 13 13 13 12 11 11 9 7 6 6 7 8 8 9 10 11 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 10 11 11 12 12 11 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 7 7 6 6 6 7 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 10 11 11 12 12 11 10 9 8 8 9 10 10 10 9 8 8 7 8 8 9 9 9 9 9 9 8 9 10 12 12 11 10 9 8 8 7 7 6 6 6 7 8 10 10 10 10 9 9 8 8 9 9 9 8 7 7 7 7 8 9 9 9 8 6 3 2 3 5 7 8 8 7 7 7 7 7 6 7 8 9 10 9 9 9 9 9 nan
nan 4 5 6 8 10 11 11 11 11 11 12 13 13 12 12 11 10 10 9 8 8 8 8 8 9 10 11 12 12 12 11 11 10 8 8 9 10 10 10 11 11 10 9 9 10 10 10 9 9 9 10 11 11 12 12 10 9 9 9 8 8 7 7 7 7 8 7 7 7 7 8 7 7 7 7 6 6 6 6 5 5 6 6 7 7 7 7 7 7 7 8 9 9 10 9 9 9 9 10 10 10 11 12 11 10 10 9 9 9 10 10 10 10 9 8 8 8 9 9 9 8 8 8 8 8 8 9 10 10 11 11 11 10 9 9 8 7 6 6 7 7 8 9 10 10 10 10 9 9 9 8 7 7 7 7 7 8 9 9 9 9 6 3 1 2 3 6 7 8 8 7 7 7 7 7 7 8 8 9 10 10 10 10 9 9 nan
nan 5 5 7 8 10 11 11 11 11 11 11 11 11 10 9 9 8 8 8 8 9 10 10 10 10 11 11 11 12 12 12 12 10 8 8 9 10 10 10 11 11 10 8 9 10 10 10 9 9 9 10 10 11 11 12 11 11 10 10 9 9 8 7 7 7 7 7 7 7 8 8 8 8 7 7 6 6 6 6 5 6 6 7 6 6 6 7 7 7 7 8 9 9 10 9 8 8 8 9 10 10 10 11 11 10 10 10 9 9 9 10 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 11 11 10 10 9 8 7 7 7 7 7 8 8 9 9 10 10 9 8 7 7 7 7 8 8 8 9 9 9 7 4 2 1 2 5 7 7 8 8 8 7 7 7 7 7 7 8 9 9 9 10 10 10 9 nan
nan 5 6 7 7 7 8 7 7 8 8 8 8 8 8 7 6 6 6 6 8 9 9 9 10 10 11 10 10 9 10 11 12 10 9 9 9 10 10 10 10 11 9 8 9 10 10 9 9 9 9 9 9 9 10 10 11 11 10 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 7 7 6 6 6 6 6 7 7 6 5 5 5 6 7 7 7 7 8 9 9 8 8 7 7 8 9 9 10 10 11 10 10 10 9 8 9 10 10 10 9 8 8 7 7 7 7 8 8 8 8 8 9 9 8 8 9 10 11 11 10 10 10 9 8 8 7 6 6 7 7 8 8 9 10 9 8 8 8 9 9 8 8 8 8 9 8 5 2 1 2 5 7 7 7 7 8 8 7 7 7 7 7 8 8 9 9 9 9 10 9 8 nan
nan 6 6 6 6 6 5 5 5 5 5 6 6 7 6 5 4 4 5 6 7 8 8 9 10 10 10 9 8 8 7 8 9 9 9 9 9 9 9 9 9 10 10 9 10 10 9 9 8 8 9 9 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 7 7 6 5 5 6 6 7 7 7 7 8 8 9 8 8 7 7 7 8 9 10 10 10 10 9 9 9 8 9 10 10 10 9 8 7 7 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 10 10 9 7 7 6 6 6 7 8 9 9 9 9 10 10 9 8 7 7 8 8 7 5 3 3 5 7 8 8 7 6 6 7 7 7 8 8 8 8 9 9 9 8 9 9 8 7 nan
nan 6 6 6 6 5 4 4 3 3 4 5 5 6 5 3 3 3 5 7 8 8 8 9 10 10 10 9 9 8 8 8 7 7 8 8 8 8 8 8 9 9 10 11 11 10 9 9 9 9 8 8 8 7 6 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 7 6 6 6 6 6 6 6 5 5 5 5 5 4 4 5 6 7 7 7 7 7 8 8 9 9 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 10 11 10 9 8 7 7 7 7 8 9 9 8 8 8 9 9 9 9 8 8 8 9 9 9 9 10 10 10 9 7 6 6 6 7 8 8 9 9 9 9 10 9 8 7 7 8 8 8 6 5 5 7 9 9 8 6 5 6 6 7 8 8 8 8 9 9 8 8 8 8 8 7 6 nan
nan 6 6 6 5 5 4 3 3 3 4 5 5 4 3 2 2 4 7 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 10 10 9 10 11 10 10 9 8 7 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 7 6 5 5 6 7 7 6 5 4 4 3 2 2 3 4 6 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 11 10 10 9 8 8 8 8 8 9 9 8 8 8 9 10 10 9 7 7 7 8 8 8 9 10 10 10 9 8 7 6 6 7 8 8 9 9 9 9 9 9 8 7 7 7 8 8 7 6 7 8 10 10 7 6 5 6 6 7 8 8 8 8 8 8 8 7 7 8 7 7 6 nan
nan 6 6 5 5 5 4 4 4 5 5 6 6 4 3 3 5 7 8 8 8 7 7 7 7 7 8 8 8 7 7 8 9 10 11 11 11 11 12 12 12 12 11 10 9 9 10 11 13 12 11 10 9 9 8 9 9 8 8 8 8 8 7 7 7 7 8 7 7 7 6 5 5 5 5 6 6 6 5 4 4 3 1 1 3 5 7 7 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 10 10 9 9 8 8 7 7 8 8 8 8 8 8 9 9 9 9 7 7 7 7 7 8 9 10 10 9 9 8 8 7 7 8 8 9 9 9 9 9 9 9 8 7 7 7 8 7 6 6 7 9 10 9 7 6 6 7 7 7 7 7 7 8 8 8 7 7 7 7 7 6 5 nan
nan 6 5 5 5 5 5 5 6 7 8 8 7 5 5 6 7 8 9 9 8 7 7 6 7 7 8 8 8 8 8 8 8 9 10 10 11 11 11 11 11 12 11 10 9 8 9 10 12 12 11 11 10 10 11 12 12 12 11 10 9 8 8 8 8 7 7 6 6 6 6 6 5 5 5 5 6 5 5 4 4 4 4 5 5 6 7 7 8 8 9 9 9 9 10 10 11 11 11 11 10 10 11 11 11 11 10 10 10 10 10 11 10 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 9 8 7 7 8 7 7 6 6 7 8 9 8 7 7 8 8 7 7 7 7 7 8 8 7 7 7 7 7 6 5 5 nan
nan 6 6 6 7 7 8 8 9 9 9 9 7 7 7 7 8 9 10 10 9 7 6 6 6 7 8 8 9 9 9 8 8 7 8 8 9 9 9 9 9 9 10 10 10 9 8 9 10 11 11 10 10 9 10 11 13 13 13 12 10 9 9 8 8 7 6 6 6 6 7 7 6 6 5 5 5 5 5 5 6 7 8 8 7 7 7 8 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 11 10 10 9 9 9 10 10 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 8 8 8 9 9 8 9 10 10 9 9 8 9 9 10 10 9 8 8 8 7 7 7 7 7 8 8 7 7 8 10 9 8 8 8 8 8 7 7 7 6 7 7 7 7 5 4 nan
nan 6 7 8 9 9 9 10 10 10 9 8 8 8 8 8 9 10 10 9 8 6 6 5 6 6 7 7 8 8 8 8 8 7 7 7 8 8 8 7 7 6 7 8 9 9 9 9 10 11 11 10 9 8 8 8 9 11 12 11 11 10 9 8 8 7 6 6 6 6 8 8 8 7 7 6 6 6 6 6 7 8 9 8 8 7 7 8 9 10 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 8 8 7 7 8 8 8 8 7 7 8 8 9 9 10 11 11 9 8 8 8 9 9 9 10 10 10 9 8 8 9 10 10 9 8 8 8 8 8 8 7 7 7 8 7 7 7 8 9 9 9 9 9 9 8 8 7 7 7 7 8 8 7 5 5 nan
nan 8 9 9 10 10 9 9 9 9 9 8 8 8 8 8 9 9 8 7 6 6 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 8 9 11 12 11 10 9 8 7 7 8 9 10 10 10 9 9 8 7 7 6 6 6 6 8 9 10 9 9 7 6 7 7 7 8 9 10 9 8 8 7 8 9 10 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 8 8 8 8 8 9 10 10 8 7 7 7 7 8 8 7 6 6 6 7 7 7 7 7 8 8 8 8 9 10 10 9 8 8 9 9 8 9 9 9 9 8 8 8 10 11 10 10 9 8 9 9 10 9 7 6 6 6 6 6 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 6 nan
nan 9 9 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 6 6 6 6 6 6 7 8 8 7 6 6 6 6 6 6 6 6 7 7 7 8 8 8 7 7 7 8 8 9 11 12 12 10 9 8 8 7 7 7 8 8 8 8 8 8 8 7 6 6 6 7 8 10 11 10 9 8 7 8 8 8 9 10 10 10 8 8 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 7 8 8 10 10 9 7 6 6 6 7 8 7 6 6 6 6 7 8 8 9 9 9 9 8 7 8 8 8 8 9 9 8 8 8 8 9 8 8 8 8 10 11 11 11 11 10 11 11 12 11 9 8 7 6 7 8 9 9 8 8 8 9 8 8 8 8 9 9 9 9 8 8 7 8 8 nan
nan 9 9 9 9 9 10 10 9 9 9 8 8 7 7 7 6 6 6 6 6 6 6 7 8 9 9 7 6 6 6 5 5 5 5 6 7 7 7 7 8 8 8 8 8 9 9 10 11 12 12 11 10 9 8 8 7 6 6 7 7 7 7 8 7 7 6 6 7 9 10 11 11 11 10 10 10 10 9 9 9 10 10 9 8 8 7 7 8 9 9 9 8 8 8 8 7 7 7 8 8 8 8 7 7 7 8 8 8 7 7 7 8 9 9 8 7 6 5 6 7 7 7 7 7 7 6 7 8 9 9 10 10 9 8 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 11 11 12 12 13 13 13 12 10 9 8 8 9 10 9 8 7 7 7 7 7 7 8 9 9 9 8 8 8 8 9 10 nan
nan 9 9 9 10 10 10 10 9 9 8 8 7 7 6 6 5 6 6 6 5 5 5 7 8 9 8 7 6 6 6 5 5 5 6 7 7 7 7 7 7 7 8 8 9 9 10 10 10 11 12 12 11 11 9 8 7 7 6 7 7 7 7 7 7 7 7 8 9 10 11 12 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 9 8 8 8 7 8 8 8 7 7 7 7 7 8 8 8 8 7 7 8 8 8 7 7 7 8 9 8 8 7 6 6 6 7 7 8 8 8 7 7 8 8 9 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 9 10 11 11 12 12 13 13 13 11 9 9 9 10 9 8 7 7 6 7 7 8 8 8 7 7 7 8 9 10 10 10 nan
nan 9 9 10 11 11 10 9 8 7 7 6 6 5 5 4 4 4 4 4 3 3 4 6 7 7 7 7 7 7 7 7 7 7 8 9 8 8 7 7 6 6 7 8 8 8 9 9 9 9 10 11 11 11 10 9 9 8 8 7 7 8 8 8 8 8 9 9 10 11 12 12 12 12 11 11 10 10 9 10 10 10 10 10 11 11 11 10 9 7 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 7 7 6 6 6 7 8 8 8 7 7 7 8 8 8 7 7 6 7 8 9 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 8 9 10 10 10 11 12 13 13 12 10 9 9 9 8 8 7 7 7 7 7 7 7 7 6 6 7 8 9 10 11 10 nan
nan 10 10 10 10 10 9 8 7 6 5 4 4 4 4 3 3 3 3 3 3 4 6 7 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 5 5 4 5 6 7 7 7 7 7 8 9 9 9 10 10 10 10 10 9 9 8 8 8 9 9 10 10 10 10 11 11 11 10 10 10 10 10 9 8 9 10 11 11 11 11 11 10 9 8 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 7 8 8 8 7 6 6 6 6 7 8 8 7 7 7 8 8 8 8 7 7 7 8 9 10 10 9 9 8 8 8 8 9 9 9 9 8 7 7 7 7 7 7 8 9 10 10 9 10 10 11 12 11 11 10 10 9 8 8 8 8 8 8 8 7 7 6 6 7 7 9 9 10 9 9 nan
nan 11 10 10 10 9 8 7 6 5 4 4 4 4 4 4 4 4 4 4 5 7 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 6 5 4 4 4 5 5 6 7 7 7 7 8 8 8 9 9 9 9 10 10 10 9 9 8 8 9 10 10 10 10 10 10 10 9 9 9 9 10 10 9 7 8 9 11 10 10 9 9 9 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 7 7 6 6 6 7 8 9 8 6 6 6 6 7 7 8 7 7 7 8 8 9 9 8 8 8 8 8 9 10 10 10 10 9 8 8 9 9 9 9 9 8 8 7 7 7 8 8 9 9 9 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 nan
nan 11 10 10 9 9 8 7 7 5 5 5 5 6 6 7 7 6 6 7 8 9 10 9 9 9 9 8 7 7 6 7 7 7 7 6 5 4 4 4 5 6 6 7 7 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 8 8 8 9 10 11 11 11 11 11 10 9 8 9 9 9 9 9 8 8 8 9 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 7 8 8 7 7 7 7 8 8 7 7 6 7 7 8 9 9 8 7 7 7 7 7 7 8 7 7 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 7 8 8 nan
nan 11 10 9 8 8 8 8 7 6 6 7 8 9 9 8 7 6 7 8 9 9 9 8 9 9 9 8 7 6 6 7 7 7 7 6 5 4 4 5 6 7 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 9 8 8 7 8 9 10 11 12 12 12 12 11 9 9 9 9 8 8 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 8 8 7 7 7 8 7 7 7 7 7 8 9 10 9 8 7 8 8 8 8 8 8 8 8 8 8 9 9 10 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 9 9 8 8 7 6 6 6 5 5 6 7 7 6 6 6 7 7 7 8 9 9 9 9 8 7 7 8 8 8 8 8 8 nan
nan 10 9 8 7 7 7 8 8 7 7 9 10 10 9 7 5 5 6 7 7 7 7 7 8 9 9 8 7 6 7 7 7 7 7 6 6 6 6 7 7 8 8 9 9 9 9 9 8 7 7 8 8 8 9 9 9 9 9 8 8 8 8 9 9 10 11 11 11 11 10 9 8 8 8 7 8 9 10 11 10 8 7 7 7 8 8 8 7 7 7 7 8 7 6 5 5 6 6 7 8 8 9 8 8 7 7 8 8 8 9 9 9 9 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 11 11 10 10 9 8 7 7 7 7 8 8 7 7 7 8 8 9 10 10 10 10 9 9 9 8 7 6 5 5 5 5 6 6 7 6 6 6 7 7 7 8 8 8 8 7 7 7 7 8 9 9 9 9 9 nan
nan 8 7 6 5 6 7 7 7 7 8 9 9 8 7 6 5 5 6 6 6 5 5 6 8 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 9 9 8 8 9 10 10 10 10 9 8 8 8 8 7 8 8 9 10 11 10 8 7 7 7 8 8 7 7 6 6 7 7 7 6 5 5 5 5 6 8 9 9 8 7 7 8 9 9 9 9 9 9 9 9 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 10 9 9 8 9 9 9 9 8 7 7 7 8 9 10 10 10 10 9 9 9 9 8 7 6 5 5 6 7 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 8 9 10 9 9 9 9 nan
nan 7 6 5 5 6 6 7 7 7 7 7 7 6 6 5 5 5 6 6 5 5 5 6 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 9 8 7 8 9 10 10 9 8 7 7 7 7 8 8 9 9 9 9 9 8 7 7 7 8 8 7 7 7 7 7 7 7 7 6 4 4 4 6 8 9 9 8 7 7 9 9 10 10 10 9 9 9 10 10 9 9 8 9 9 9 9 9 10 10 9 9 9 9 9 8 9 10 10 11 11 11 10 10 10 9 9 9 8 7 7 7 8 9 9 9 9 9 9 9 9 8 7 6 6 6 8 9 9 9 8 8 8 8 8 8 7 7 6 6 6 6 7 8 9 9 9 8 8 8 nan
nan 6 6 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 4 4 5 6 8 9 9 9 8 7 7 8 8 8 8 8 7 7 6 6 6 6 7 8 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 9 9 8 7 8 9 9 9 8 7 6 6 6 6 7 8 8 8 8 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 5 4 5 7 8 9 9 9 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 7 7 8 9 11 12 12 11 10 9 9 9 9 9 8 7 7 7 8 9 9 9 9 9 9 8 7 6 6 7 8 9 9 9 8 8 8 8 8 8 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 nan
nan 6 6 5 5 6 6 6 5 5 6 6 6 6 6 5 5 5 5 5 4 4 5 6 7 8 8 7 6 6 7 9 9 9 9 8 8 7 6 5 5 6 7 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 8 7 6 5 5 6 6 7 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 7 6 6 5 5 6 8 9 9 9 8 7 8 9 9 9 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 9 10 11 12 11 10 8 7 8 9 10 10 9 8 6 6 7 9 9 10 9 9 9 7 6 6 6 7 9 10 10 9 8 8 7 8 8 8 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 nan
nan 6 5 4 5 5 6 6 6 6 5 5 6 5 5 5 5 5 5 5 5 5 6 6 7 7 7 6 6 7 8 9 9 8 8 8 8 7 6 5 5 7 8 9 9 9 9 9 8 8 8 8 9 8 8 8 9 9 9 9 9 9 10 9 9 8 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 6 5 5 6 7 8 8 7 6 6 6 7 8 8 7 6 5 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 11 12 11 10 9 8 7 7 9 10 10 9 8 7 6 7 8 9 9 9 9 8 6 5 6 7 8 10 10 10 10 9 8 8 8 8 8 7 7 6 7 7 7 8 8 8 9 9 8 8 8 9 nan
nan 6 4 4 5 6 6 6 5 5 5 5 5 5 4 4 5 5 5 6 6 6 7 7 7 7 7 7 8 9 9 8 7 7 8 8 8 7 6 6 6 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 8 6 6 6 7 8 8 8 8 7 6 6 7 8 8 9 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 6 5 4 4 6 8 8 8 8 7 7 6 7 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 10 9 9 9 9 8 7 7 8 8 9 9 8 6 5 5 7 9 10 10 11 10 10 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 8 8 8 8 9 nan
nan 5 4 4 5 6 6 5 4 4 4 5 5 5 5 6 6 6 6 6 7 7 7 8 8 8 8 9 9 10 10 8 8 8 8 8 8 7 6 6 7 8 9 10 10 10 10 10 9 9 8 8 8 7 7 7 7 8 8 8 9 9 9 8 7 6 6 7 7 8 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 8 9 8 8 8 8 9 9 9 8 7 5 5 6 7 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 8 9 8 8 7 7 7 8 8 7 6 6 7 9 10 11 11 11 10 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 10 nan
nan 5 4 4 5 6 6 5 5 6 6 6 6 6 7 7 7 7 6 6 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 7 6 6 7 8 9 10 10 10 10 9 8 8 7 7 6 6 6 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 9 8 7 6 6 7 7 7 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 9 8 8 8 8 9 9 9 9 10 10 9 9 9 9 9 8 7 6 6 7 7 6 6 7 9 10 11 11 11 10 10 9 9 8 9 8 8 8 7 7 7 8 8 9 9 8 8 7 7 8 8 9 9 nan
nan 5 5 5 6 7 7 6 7 7 7 7 7 7 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 7 6 6 7 7 8 9 10 10 9 9 8 7 7 7 7 6 6 7 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 8 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 9 9 9 9 10 10 10 11 11 11 11 10 9 8 7 7 8 9 9 9 9 9 10 10 10 10 9 10 10 9 8 7 6 7 7 7 8 9 10 10 11 11 11 10 10 9 9 9 9 9 9 8 7 7 8 8 9 9 8 8 7 7 7 7 7 7 7 nan
nan 5 5 6 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 6 7 7 8 8 9 9 9 9 8 8 8 7 7 7 7 8 9 9 9 9 9 9 10 11 11 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 8 7 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 9 9 9 9 9 9 10 10 10 9 9 9 8 8 7 8 9 9 10 10 9 10 11 11 11 10 10 11 11 10 9 8 8 8 8 8 9 9 10 10 11 11 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 9 8 8 7 7 7 7 7 6 6 nan
nan 6 6 6 7 7 6 7 7 8 8 8 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 9 9 8 8 7 7 7 8 9 9 9 8 9 9 10 10 11 12 12 11 10 9 9 9 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 9 9 10 10 10 8 8 8 8 9 9 9 9 9 10 10 11 11 12 11 11 10 10 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 nan
nan 5 5 6 6 6 6 6 7 7 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 8 9 9 9 9 9 9 10 10 11 11 12 11 10 9 9 8 7 8 9 9 9 9 9 9 9 9 8 9 9 9 8 8 8 8 8 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 9 10 11 11 9 7 6 7 9 10 10 9 9 9 10 11 12 12 11 10 9 8 9 10 11 10 10 10 11 10 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 nan
nan 5 5 6 6 6 6 6 7 7 8 8 8 8 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 8 7 7 6 7 7 8 9 9 10 10 9 9 9 9 9 9 8 9 9 9 9 8 8 9 10 10 10 9 8 8 8 9 9 8 8 8 8 8 7 8 8 8 8 8 8 8 9 9 9 10 9 8 8 9 11 12 11 9 7 7 8 9 10 9 8 8 8 9 11 12 11 10 8 7 7 9 10 10 10 11 12 12 11 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 nan
nan 5 6 7 7 6 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 9 9 9 9 9 8 8 7 7 6 6 6 6 6 7 7 8 9 9 10 10 10 9 9 8 8 9 10 10 9 8 6 6 7 8 10 10 9 8 8 8 9 9 9 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 10 9 9 10 10 11 12 11 9 8 8 9 10 9 8 7 8 8 9 10 11 10 9 7 7 7 8 8 9 9 11 12 11 10 9 9 9 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 7 7 nan
nan 6 7 7 7 7 7 7 7 7 7 7 8 8 9 10 11 11 10 10 10 9 9 8 8 7 8 8 9 10 10 10 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 6 6 6 7 8 8 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 12 12 10 9 10 10 10 10 9 8 7 8 8 9 10 9 9 8 8 8 8 7 7 7 9 10 10 9 9 8 9 9 9 9 10 10 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 nan
nan 7 7 7 8 8 9 8 7 7 7 7 8 9 10 11 11 11 11 11 10 10 9 9 8 8 8 8 9 10 10 10 10 10 10 9 9 8 7 7 7 7 6 7 7 7 8 8 8 9 9 9 8 8 7 7 6 6 6 6 7 7 8 8 8 8 7 7 7 6 6 6 7 7 7 8 8 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 7 7 6 6 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 12 12 12 10 11 12 13 12 11 10 9 8 8 8 8 8 7 7 7 8 9 8 7 7 7 9 10 10 9 8 8 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 nan
nan 6 7 7 8 9 10 8 7 7 7 8 8 9 10 11 11 10 10 10 10 10 10 10 9 8 8 9 10 10 10 10 10 10 11 10 10 9 8 7 7 6 6 7 7 8 8 8 8 8 9 9 9 9 8 8 7 6 6 6 6 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 6 7 7 7 8 8 9 9 9 10 11 11 10 8 7 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 12 12 11 11 12 13 13 13 12 11 10 9 8 7 7 6 6 6 7 8 9 7 6 7 7 8 9 10 9 8 8 8 8 8 9 10 11 10 10 11 11 11 10 10 10 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 nan
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nan 8 8 7 7 7 9 10 10 10 10 11 11 12 12 12 11 10 8 7 6 7 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 11 11 12 12 12 12 13 12 12 12 12 12 12 12 12 13 13 14 15 15 15 16 16 16 16 15 14 14 13 12 10 8 7 7 8 9 10 11 11 10 10 9 10 10 11 11 12 12 11 10 10 11 12 13 13 11 9 9 9 9 8 7 6 6 7 7 7 7 6 6 8 10 12 13 12 10 9 8 8 8 10 11 12 13 12 11 10 10 11 13 13 13 11 8 6 6 7 9 11 11 10 9 8 7 6 5 6 7 8 9 10 11 11 12 13 13 13 12 12 11 11 11 10 10 11 11 13 14 14 nan
nan 9 9 8 7 7 8 9 9 10 10 10 11 11 11 11 10 9 8 7 7 8 9 10 11 11 10 10 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 12 12 13 13 13 13 13 13 13 13 13 13 14 14 15 16 16 17 16 16 16 15 14 13 13 12 12 11 10 9 8 8 8 8 9 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 12 12 11 9 8 8 8 9 8 6 6 6 6 7 7 7 6 7 8 12 15 16 14 12 10 10 9 9 10 11 12 13 12 11 10 11 13 14 14 13 12 11 11 11 10 11 12 11 9 8 7 5 4 4 6 8 9 10 10 11 11 12 13 13 13 12 12 11 11 10 10 11 11 12 13 13 13 nan
nan 10 9 8 8 8 8 9 9 10 10 10 11 10 10 10 9 8 7 7 7 8 9 10 11 11 11 10 9 8 8 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 12 13 13 14 14 14 14 14 14 15 15 15 15 16 16 17 17 17 17 16 15 14 13 12 11 11 11 11 11 11 10 10 9 8 8 9 9 10 10 10 9 10 10 10 10 10 10 11 11 11 11 11 11 10 8 8 7 8 8 8 7 6 5 5 6 6 7 7 8 10 13 16 16 14 12 11 10 10 9 10 10 11 12 12 11 11 12 13 13 12 11 10 10 11 12 12 13 14 13 12 11 9 7 7 7 8 9 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 11 12 12 13 13 nan
nan 9 9 9 10 10 11 10 10 10 10 10 10 10 9 8 8 7 6 6 7 8 8 9 9 10 11 11 10 9 8 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 13 14 15 15 15 15 16 16 16 17 17 17 17 17 17 16 16 15 14 13 12 11 10 10 10 10 10 10 11 10 10 9 9 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 8 8 8 8 6 5 5 6 6 6 6 7 9 12 14 14 13 12 11 11 10 10 10 10 11 12 12 12 11 11 11 10 10 10 9 10 11 13 15 17 17 17 16 14 12 11 11 11 11 10 10 10 10 10 10 11 12 12 13 13 12 11 11 11 11 11 11 11 12 12 13 nan
nan 8 9 10 11 12 12 12 11 11 10 10 9 9 8 8 7 6 6 6 6 7 7 8 9 10 11 11 10 9 8 8 8 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 12 13 14 15 16 16 16 17 17 18 18 18 18 17 16 15 14 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 8 7 6 6 6 6 6 6 7 8 10 11 12 12 12 11 11 11 10 10 10 12 13 12 11 10 10 9 9 9 9 10 12 13 15 17 18 18 17 16 14 13 13 12 12 11 11 10 10 10 11 12 13 13 14 14 13 13 12 12 11 11 11 10 10 10 11 12 nan
nan 7 9 10 11 11 12 11 11 11 11 10 9 9 8 7 6 6 6 6 7 7 8 9 10 11 11 10 9 8 8 8 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 13 13 14 15 16 17 18 18 18 19 18 18 16 14 13 11 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 10 9 7 6 5 5 6 6 6 7 7 8 9 11 12 13 13 12 11 10 10 11 12 12 12 11 10 9 9 9 9 10 12 13 14 15 15 14 14 12 11 11 11 12 12 11 11 10 10 10 10 12 13 14 15 15 14 13 13 13 12 11 10 9 8 7 7 10 13 nan
nan 8 9 10 10 10 11 11 11 11 11 11 10 9 8 7 7 7 7 7 8 9 10 11 12 12 12 10 9 8 7 8 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 13 13 13 14 15 16 17 17 18 18 18 17 15 14 12 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 7 6 5 5 6 7 8 7 7 8 9 12 14 15 14 13 12 12 12 12 11 10 10 10 10 9 9 9 10 11 11 12 12 12 12 11 9 8 7 8 9 10 11 10 10 10 10 10 11 12 13 14 15 15 14 14 14 13 12 9 7 6 4 4 7 13 17 nan
nan 9 9 10 10 10 10 10 10 10 10 11 11 10 8 7 7 7 8 9 10 11 11 12 12 12 12 10 9 8 8 8 9 9 10 10 10 10 11 11 12 11 11 10 10 10 9 10 10 10 11 11 12 12 13 13 14 14 14 15 16 16 17 17 16 15 13 11 10 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 9 7 7 8 8 7 6 6 6 7 8 9 8 8 7 9 12 15 16 15 13 12 12 12 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 8 6 5 5 7 9 10 10 10 10 10 11 12 12 13 14 15 16 16 16 16 14 10 6 3 2 4 8 15 21 21 nan
nan 11 11 11 11 11 10 10 9 9 9 10 10 9 8 7 7 7 9 10 11 12 12 12 12 12 11 10 8 8 8 8 9 9 10 10 10 11 11 12 12 11 10 10 9 9 9 10 10 11 11 12 13 13 13 14 14 14 14 15 15 15 15 15 14 12 10 8 7 8 9 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 10 9 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 10 11 11 11 12 12 12 12 11 10 8 6 6 7 7 7 7 7 8 9 9 9 8 8 8 10 12 14 14 12 11 11 10 9 8 8 9 9 8 8 9 9 10 10 10 11 11 11 10 9 8 7 5 4 5 7 8 9 9 9 10 11 11 12 13 13 15 16 18 19 18 15 10 6 2 1 3 8 16 23 25 23 nan
nan 11 11 11 11 11 11 10 9 9 9 9 9 7 6 6 6 8 9 11 11 12 12 13 12 12 11 9 7 7 7 8 9 10 10 10 11 11 12 12 11 11 10 9 9 9 10 10 11 11 12 13 13 14 14 14 14 14 13 13 13 13 13 13 11 9 8 7 7 8 9 10 10 9 9 8 8 8 9 9 9 10 9 9 9 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 11 12 12 12 12 12 12 12 11 10 9 9 8 8 7 7 8 9 9 9 8 8 8 9 10 11 11 10 8 7 7 6 6 7 10 10 10 9 9 9 10 10 10 10 11 10 10 9 8 7 7 5 4 5 6 8 8 9 10 10 11 12 13 14 14 16 19 20 21 16 10 4 0 -0 4 9 15 20 24 24 22 nan
nan 9 10 10 11 11 11 10 10 9 9 8 7 6 5 6 7 8 10 11 12 12 13 13 13 12 11 8 7 7 7 8 9 10 10 10 11 12 12 12 11 10 9 9 9 10 10 11 12 13 14 14 14 14 14 13 13 13 12 12 12 12 12 11 9 8 7 7 7 8 8 9 9 9 9 8 8 8 9 9 9 10 10 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 13 13 12 12 11 11 10 9 8 8 9 10 9 7 6 7 8 10 11 10 9 7 5 4 3 3 6 10 13 13 12 11 11 11 11 10 10 10 10 10 9 9 9 9 8 5 4 4 6 7 8 9 10 11 12 12 13 14 16 18 21 22 19 11 4 -0 -1 3 10 15 19 22 23 24 22 nan
nan 8 8 9 9 10 10 10 10 10 9 8 7 5 6 7 8 9 11 12 12 13 14 14 13 12 11 9 7 7 7 8 9 10 10 11 12 12 12 11 10 9 9 9 10 10 11 12 13 14 15 14 14 13 13 12 12 11 11 11 11 11 11 10 9 8 8 7 7 8 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 13 13 13 13 12 11 9 9 9 9 9 6 4 4 6 9 11 12 11 10 9 7 5 4 4 9 14 15 15 14 14 14 13 12 12 11 11 10 9 9 9 9 8 6 3 2 3 5 8 9 10 11 12 12 13 14 15 16 18 18 17 12 4 -0 -1 2 9 14 18 20 23 25 25 23 nan
nan 8 8 8 8 9 10 10 10 10 9 8 6 6 7 8 9 10 11 12 12 13 14 14 14 12 11 9 8 8 7 8 9 10 10 11 12 12 11 10 9 9 9 10 11 12 13 14 14 15 15 14 13 12 11 11 11 11 10 10 10 10 10 10 10 10 9 8 8 9 10 10 10 10 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 13 13 13 12 12 10 9 9 8 6 3 2 4 8 11 12 13 12 12 11 9 7 7 9 13 15 14 14 14 14 14 13 12 12 11 11 10 9 7 6 5 2 -1 -2 -0 3 7 10 11 12 12 13 13 14 15 16 16 14 12 7 1 -2 -2 1 8 13 17 19 22 24 25 25 22 nan
nan 9 9 8 9 9 10 10 10 10 9 8 7 7 7 9 10 11 12 12 12 13 13 14 13 12 11 10 9 8 8 8 8 9 10 11 12 11 10 10 9 9 10 11 11 13 14 14 15 14 14 13 12 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 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 11 12 13 13 12 12 11 10 9 7 5 4 5 8 11 13 14 14 13 13 11 10 10 10 12 14 14 13 14 14 13 12 12 11 11 10 9 8 5 3 1 -1 -2 -2 -1 2 7 11 12 13 13 14 15 16 17 18 18 16 12 8 3 -0 -1 2 7 13 16 19 22 25 26 25 22 18 nan
nan 9 9 9 10 11 11 11 11 10 9 7 7 7 8 9 10 12 12 12 12 12 12 13 13 13 12 12 10 9 8 8 8 9 10 11 11 11 10 9 9 9 10 11 12 14 14 14 14 13 12 11 11 10 10 11 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 10 10 11 10 10 10 9 10 11 12 12 12 11 11 10 9 7 6 8 10 13 14 14 15 15 14 13 11 11 11 12 13 13 14 14 16 16 14 13 12 10 9 7 5 2 -0 -2 -2 -1 1 4 7 10 13 14 15 15 16 17 18 19 21 21 20 18 14 10 6 5 6 9 12 16 19 22 25 26 25 23 19 15 nan
nan 9 9 10 11 12 12 12 12 11 9 7 7 7 8 9 10 11 12 12 12 11 11 12 13 13 14 13 12 10 9 8 8 8 9 10 11 10 10 9 9 9 10 12 13 14 14 14 13 12 11 10 10 10 10 11 10 10 10 9 10 10 11 11 11 10 10 10 10 10 10 10 10 9 9 9 8 8 9 9 9 10 10 10 9 9 9 10 10 11 11 10 10 9 9 9 9 9 9 9 9 8 8 7 8 9 10 10 10 10 9 9 10 11 12 12 12 11 11 10 9 8 9 12 14 15 16 16 17 16 15 13 12 12 12 13 13 13 14 16 18 17 16 14 11 7 3 1 -1 -2 -2 -1 1 5 10 13 15 16 17 17 18 19 20 20 21 22 22 21 20 18 15 12 9 8 9 12 15 19 22 26 27 25 22 19 15 13 nan
nan 9 9 10 10 11 12 12 12 11 9 8 7 7 7 9 10 11 12 12 11 11 10 11 13 14 14 14 13 11 9 8 7 8 9 10 10 10 10 9 10 10 12 13 14 14 14 13 12 11 11 10 10 10 10 10 10 10 9 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 8 8 9 10 10 9 8 9 9 10 10 10 10 10 10 10 10 11 12 12 11 11 10 10 10 10 12 14 15 16 17 17 17 15 13 12 13 14 15 15 14 13 14 15 16 16 15 12 7 3 0 -0 0 2 4 8 12 16 19 21 20 20 20 21 22 23 22 22 21 20 17 16 14 12 10 8 7 8 10 15 18 22 25 27 25 22 18 15 13 13 nan
nan 9 9 9 10 11 11 12 11 11 10 9 8 7 7 9 10 11 11 11 11 11 11 11 12 13 14 14 13 11 9 8 8 8 9 9 10 10 10 10 11 12 14 15 15 14 13 12 11 10 11 11 11 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 7 7 8 9 10 10 9 9 9 9 9 10 10 9 9 9 10 10 9 7 7 8 9 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 12 13 14 14 14 15 14 13 12 14 16 18 18 16 15 14 15 16 18 18 17 13 8 6 6 8 11 13 16 19 22 25 25 24 22 21 21 22 21 20 19 17 15 13 10 9 8 7 5 5 7 11 15 19 22 24 25 24 21 18 16 14 13 13 nan
nan 8 8 9 10 10 11 11 10 10 9 8 7 7 7 8 9 10 11 11 11 11 11 11 11 12 13 14 13 11 10 9 8 8 9 9 9 9 10 11 12 14 16 16 15 14 12 11 10 10 10 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 10 9 9 9 8 8 8 7 7 8 9 10 10 10 10 10 10 10 10 10 10 9 9 10 10 8 6 6 7 9 10 10 10 10 11 11 11 11 11 11 11 11 11 12 11 11 11 10 10 10 10 11 11 12 12 12 12 12 12 11 13 16 18 19 18 16 16 16 18 21 23 23 22 18 14 14 15 18 20 22 23 24 25 24 22 19 16 15 15 15 14 13 12 10 8 7 6 7 8 9 9 11 14 18 21 22 23 23 22 20 17 16 14 14 13 13 nan
nan 8 8 9 10 10 10 10 10 9 8 7 6 6 6 7 8 9 10 10 11 10 10 10 10 11 13 13 13 12 11 10 9 9 9 9 9 10 11 12 14 16 16 15 14 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 9 9 9 10 10 11 11 11 11 10 10 9 9 8 7 6 6 7 9 9 10 10 10 11 11 11 11 11 11 11 12 12 12 12 11 10 10 10 10 10 10 10 11 11 11 11 11 12 12 14 16 17 17 16 15 16 18 20 22 23 22 21 18 17 18 19 20 21 22 22 21 19 16 13 10 10 11 12 12 11 10 10 9 8 8 9 11 12 13 15 17 19 20 20 20 20 19 17 16 15 15 14 14 14 14 nan
nan 9 9 9 10 10 10 9 9 8 8 6 5 5 5 6 8 9 10 10 10 9 9 9 10 11 12 13 13 13 12 11 11 10 10 10 10 11 13 15 16 17 16 14 12 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 10 11 10 10 9 9 9 9 8 8 8 8 9 9 10 10 11 10 9 8 7 7 6 5 6 7 8 9 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 13 13 14 13 13 13 14 16 17 18 17 16 15 14 14 15 15 16 17 17 16 15 13 11 11 11 13 15 16 17 16 16 16 14 14 14 15 15 15 14 14 15 16 16 16 16 16 15 15 14 14 14 14 14 14 14 nan
nan 10 10 11 11 10 10 9 9 8 7 6 5 4 5 6 8 9 10 10 10 9 9 9 10 11 12 12 13 13 13 13 12 12 12 12 12 13 15 17 17 16 14 12 11 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 10 9 8 8 9 9 9 8 8 9 10 11 11 10 9 9 9 9 8 8 8 8 9 9 10 10 10 9 7 6 6 5 5 4 5 7 9 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 11 10 10 10 9 9 10 10 10 11 11 11 12 12 12 12 12 11 11 11 12 12 13 13 13 12 11 11 11 11 12 13 14 14 13 12 13 14 16 19 20 21 20 20 20 20 19 18 17 17 16 15 13 12 12 12 12 13 13 13 14 14 14 14 14 14 14 14 13 13 nan
nan 11 11 11 11 11 10 10 9 8 7 5 5 5 5 6 8 9 10 10 10 10 10 10 10 11 12 12 13 13 14 14 14 13 13 14 14 16 18 17 16 15 12 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 10 9 9 10 10 9 8 8 9 10 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 9 8 7 6 6 5 4 4 5 7 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 9 8 8 7 7 7 8 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 9 9 9 10 12 14 14 14 13 14 15 16 17 18 19 18 18 18 17 16 15 15 15 14 14 13 12 12 12 12 12 12 12 13 13 14 14 14 14 13 13 13 12 10 nan
nan 11 11 11 11 11 10 10 9 8 7 6 5 5 6 7 9 10 10 11 11 11 11 11 11 11 11 12 12 13 14 14 14 14 14 14 15 17 18 17 15 13 11 10 9 9 10 10 10 10 9 9 9 9 10 10 11 11 11 10 10 11 11 10 10 11 11 10 9 8 8 9 10 12 12 11 10 9 9 9 9 9 10 10 10 11 11 10 9 8 7 7 7 7 5 4 5 6 8 10 10 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 8 7 5 3 2 2 3 6 8 10 11 11 11 11 11 11 10 10 10 10 10 10 9 7 5 6 8 12 15 16 16 15 14 14 14 14 14 14 14 14 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 13 14 14 14 14 13 13 12 12 11 9 nan
nan 11 11 11 11 11 11 10 9 7 6 6 5 6 6 7 9 10 11 11 11 11 11 11 11 11 12 12 13 14 14 14 14 14 14 14 16 17 16 15 14 12 10 10 9 9 9 10 10 10 9 9 9 10 10 11 11 12 12 11 11 10 10 9 9 10 11 11 10 9 9 10 12 12 12 11 11 10 11 11 10 10 10 10 10 10 11 11 11 9 8 8 8 7 4 3 4 5 7 9 10 11 11 11 10 10 10 10 11 11 11 10 10 10 10 9 9 7 6 3 1 -1 -1 1 5 8 9 10 10 10 10 10 9 8 7 6 7 8 9 8 5 2 2 6 11 16 19 18 16 15 14 13 12 12 12 12 12 13 13 13 13 13 12 12 11 12 12 12 12 12 12 12 12 12 12 13 14 14 14 14 13 13 12 12 12 11 nan
nan 10 11 11 12 12 11 10 9 7 6 6 6 6 7 8 9 10 11 12 12 12 12 11 11 12 12 12 13 13 14 14 14 14 14 15 16 16 16 15 13 11 10 9 9 9 9 9 9 9 9 9 10 10 10 11 12 12 12 12 12 10 9 8 8 9 10 11 10 10 10 11 12 12 12 11 11 12 12 13 12 11 9 9 8 8 10 11 12 11 10 8 7 6 4 3 3 4 5 6 8 9 10 10 10 10 10 10 11 11 11 10 9 9 8 7 6 4 1 -1 -3 -2 1 5 9 12 13 13 12 11 10 9 7 4 3 3 4 6 6 4 0 -1 4 10 18 23 21 17 14 13 12 12 12 12 12 12 12 13 14 14 14 13 13 12 11 11 12 12 12 12 12 12 12 12 12 13 13 14 14 14 14 13 13 13 13 12 nan
nan 11 11 11 12 12 11 10 9 8 8 7 7 8 8 9 10 11 11 12 12 12 12 12 12 12 12 12 12 13 13 14 14 14 14 15 15 16 15 14 12 11 10 9 9 9 9 9 9 9 9 9 10 11 11 11 12 12 12 12 12 11 10 9 9 9 10 10 10 10 10 11 11 11 11 11 12 13 14 14 13 11 9 8 6 6 7 8 9 9 8 7 7 6 6 6 6 5 3 3 4 6 7 8 9 9 9 10 11 11 11 10 8 6 5 3 1 -1 -3 -4 -3 1 5 9 11 12 13 14 14 13 12 10 8 5 4 5 6 6 5 2 -0 4 11 20 27 27 20 15 12 11 11 11 12 12 12 12 13 13 14 14 14 14 13 12 11 11 11 12 12 11 11 12 11 12 12 12 13 13 14 14 14 13 13 13 13 12 nan
nan 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 14 15 15 15 15 14 12 11 10 9 9 9 8 8 8 9 9 10 11 11 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 12 12 13 14 14 14 12 11 10 8 6 5 5 4 4 4 4 6 8 10 11 11 10 7 6 5 6 7 7 7 8 8 9 11 12 12 10 8 6 3 1 -1 -2 -2 -1 1 5 8 10 11 11 12 13 14 14 14 13 12 11 11 11 11 9 7 5 7 13 21 28 30 24 18 14 11 10 11 11 12 12 12 12 13 14 14 15 15 14 13 12 11 11 11 12 12 11 11 11 11 11 12 12 13 13 13 14 13 13 13 13 12 12 nan
nan 10 10 10 9 9 9 9 8 8 8 9 9 9 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 14 15 15 15 14 12 11 10 9 9 9 8 8 8 8 9 10 11 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 12 13 13 14 14 14 14 14 12 10 8 6 4 3 4 5 7 10 12 14 14 13 13 12 12 12 12 11 10 8 8 8 10 11 12 12 11 9 7 4 3 2 2 4 6 8 9 10 11 11 12 12 12 13 13 14 14 14 14 13 12 11 10 10 14 19 25 29 26 19 14 11 10 11 11 11 11 11 11 12 13 13 14 15 15 14 13 12 11 10 11 11 11 11 11 11 11 11 12 12 12 13 14 14 13 13 13 12 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
225 208 191 168 138 100 76 61 51 46 43 42 48 61 84 119 156 181 202 216 231 233 227 226 239 271 329 388 426 459 496 528 543 540 519 487 455 429 403 361 312 283 271 262 265 281 299 307 321 307 320 312 290 268 224 153 100 72 66 74 81 73 66 78 76 64 49 32 19 12 23 36 54 84 122 153 162 149 119 99 74 40 13 6 0 0 0 0 0 0 0 0 0 0 0 2 4 5 5 5 6 6 4 4 5 8 10 13 13 11 7 4 4 7 7 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0
223 203 177 140 107 73 53 42 35 31 31 36 49 68 103 144 185 220 248 262 261 244 221 207 213 241 298 353 380 395 413 435 453 465 466 452 431 411 391 361 326 305 295 280 269 271 283 278 297 260 267 256 231 214 187 146 109 88 89 97 95 79 70 86 83 67 49 31 13 2 7 11 19 39 68 99 123 135 82 53 27 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 1 0 3 9 12 11 7 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
214 188 153 112 74 49 35 27 23 25 32 45 66 100 135 171 209 247 275 286 274 244 211 189 188 204 241 277 293 297 304 318 340 361 378 387 390 385 370 348 328 310 300 290 273 252 230 210 227 209 208 199 180 162 141 115 98 92 96 93 76 57 55 64 64 53 41 28 13 2 2 2 4 10 21 42 79 131 56 22 8 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 7 8 6 3 2 5 9 9 7 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
221 183 139 96 60 39 29 24 24 32 47 68 104 141 175 205 232 253 266 266 247 218 188 172 170 178 197 215 223 225 226 231 239 248 259 279 296 306 302 288 275 264 253 243 230 215 198 186 156 153 149 139 124 107 89 69 67 71 74 71 60 49 40 35 40 41 42 39 27 15 10 6 3 2 3 7 25 68 30 9 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 12 12 9 6 5 5 4 3 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
241 195 147 104 67 46 39 36 39 51 71 101 140 180 215 236 242 238 230 218 197 170 152 147 152 159 167 174 178 178 177 173 166 156 146 157 170 185 196 196 191 189 181 169 172 180 174 150 132 123 117 108 92 71 53 39 42 50 56 59 58 55 43 37 40 48 57 59 49 37 27 17 10 6 4 0 2 13 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 8 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
253 206 161 121 94 82 65 61 68 86 112 144 180 218 241 243 230 211 192 174 157 137 128 128 134 138 139 139 138 134 125 111 97 84 68 68 73 85 101 112 115 121 118 112 120 133 136 133 124 118 114 108 94 74 58 47 43 53 64 70 73 74 71 68 60 65 74 73 64 51 38 23 11 5 2 0 2 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
261 225 194 168 151 142 116 102 109 132 163 197 230 249 248 235 214 192 171 153 141 131 126 123 121 117 112 105 98 88 73 55 41 33 24 21 23 28 37 48 58 67 67 67 73 82 90 92 91 94 96 96 90 79 72 66 59 60 64 67 69 75 73 74 67 66 67 65 58 46 29 15 5 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
286 264 248 231 211 185 150 138 147 170 205 243 275 287 275 248 221 197 176 154 141 133 126 117 106 94 83 72 60 45 29 16 8 6 4 3 4 4 7 11 16 24 29 33 36 40 44 45 47 49 50 51 49 45 44 49 49 45 43 39 34 33 31 38 39 37 33 28 23 16 9 4 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
329 314 302 282 252 219 192 183 192 217 251 288 319 328 306 268 236 209 181 152 132 121 108 94 80 68 56 45 32 18 8 2 0 0 0 0 0 0 0 1 0 3 6 8 9 11 12 12 12 12 11 11 10 8 8 13 16 15 17 14 5 3 5 7 8 8 6 4 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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