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 11 12 13 12 10 9 8 7 6 5 6 6 7 7 7 7 6 5 5 5 6 7 8 9 9 8 8 8 8 8 8 9 9 8 7 6 7 8 9 11 12 13 12 12 11 10 10 10 9 9 9 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 11 12 12 12 11 10 10 10 10 10 9 9 9 9 9 9 10 11 10 10 10 9 10 10 10 10 10 10 10 11 10 9 8 8 8 8 7 7 8 8 8 9 9 10 11 11 11 10 10 9 7 6 6 7 8 8 8 7 7 8 10 12 12 11 10 9 8 8 8 8 8 8 9 9 9 8 7 6 6 6 7 8 9 11 11 12 11 9 7 6 4 3 3 4 5 6 7 8 9 9 9 8 8 9 9 nan
nan 10 10 9 9 9 8 7 6 5 5 5 6 7 7 7 6 6 5 5 5 6 7 8 8 8 8 8 8 8 9 9 9 9 8 7 6 7 8 9 10 11 12 12 11 10 10 10 10 9 9 9 9 8 8 8 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 10 11 11 12 12 11 10 10 10 10 10 9 9 9 9 8 8 9 10 10 10 9 9 9 9 9 9 9 10 11 11 11 11 9 9 8 8 8 9 9 9 10 10 11 11 12 12 13 12 12 11 10 9 8 8 8 8 7 7 7 8 9 11 12 11 10 9 8 8 8 8 8 9 9 9 8 7 5 5 6 7 9 10 11 11 12 13 11 8 5 3 2 3 4 6 7 8 9 10 10 11 10 9 8 9 9 nan
nan 7 7 7 8 8 7 6 5 5 5 5 7 7 7 6 6 6 6 6 6 7 7 8 8 8 8 8 8 9 10 10 9 8 8 7 7 7 8 9 10 11 11 11 10 10 10 9 9 8 8 8 8 8 9 9 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 7 8 9 10 10 10 10 9 9 8 8 9 9 9 9 9 8 7 8 8 9 9 9 8 8 8 8 8 8 9 10 11 12 12 11 10 9 9 9 10 10 10 10 10 10 10 10 11 12 12 12 12 12 11 11 10 9 7 7 7 8 8 9 10 10 11 11 10 10 8 8 8 8 9 8 8 7 6 5 6 7 10 11 11 10 9 10 9 8 5 3 2 3 5 7 9 10 10 10 10 11 11 10 9 8 8 8 nan
nan 5 6 7 8 8 7 5 5 5 5 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 10 10 9 9 8 7 7 8 8 8 9 10 11 11 10 10 10 10 10 8 8 7 7 8 9 9 10 10 10 10 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 6 5 5 6 7 8 8 8 8 7 7 8 8 8 9 9 8 8 7 8 8 9 9 8 8 8 7 7 7 7 8 9 10 11 12 11 10 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 11 11 12 12 11 10 8 7 7 8 9 9 8 9 10 11 11 11 10 9 8 8 8 7 7 7 7 6 7 9 10 11 9 7 5 4 4 3 3 4 5 7 9 10 10 10 10 9 9 9 9 9 8 7 7 8 nan
nan 5 6 7 8 7 6 6 6 6 6 7 7 6 6 6 6 6 7 8 9 9 9 9 9 10 11 12 11 11 10 9 8 8 7 7 8 9 9 10 11 12 11 10 10 11 11 10 9 9 8 8 9 10 11 11 11 11 10 9 9 8 8 7 7 7 7 7 8 8 9 10 10 10 9 8 7 6 5 5 4 5 6 7 6 6 6 7 7 7 7 8 9 9 9 8 7 8 9 9 10 9 9 8 8 7 7 7 7 8 8 9 10 10 9 8 7 6 6 6 6 7 7 7 7 8 9 9 9 9 9 10 11 12 12 11 9 8 8 9 9 9 8 8 9 10 11 11 11 10 9 8 8 7 8 8 7 7 7 9 10 8 5 3 1 0 1 3 5 7 9 9 10 10 10 9 8 8 8 8 8 8 7 7 7 7 nan
nan 4 6 7 7 6 6 7 8 8 8 8 7 6 5 5 6 6 7 9 10 11 10 10 11 12 12 12 11 10 9 9 9 8 7 7 8 9 9 10 11 12 11 10 10 11 11 10 10 9 9 8 8 9 10 10 10 10 9 8 8 8 8 8 7 7 8 8 9 10 11 11 11 10 9 7 6 6 6 5 5 6 6 6 6 5 6 6 7 6 7 8 8 9 10 9 8 8 8 10 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 8 9 9 8 9 9 9 10 10 11 10 9 8 9 9 9 9 8 8 7 8 8 9 10 11 10 9 9 9 9 8 7 7 8 8 8 5 2 0 0 2 4 6 8 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 nan
nan 4 6 6 7 6 6 7 7 7 7 7 6 5 5 6 6 7 8 10 11 11 10 10 11 12 12 10 9 8 8 9 8 8 8 8 8 9 9 9 10 10 10 10 10 11 10 9 8 8 7 7 7 6 7 8 8 8 8 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 9 10 10 9 8 8 9 10 11 11 11 11 10 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 8 8 9 9 9 9 8 7 7 6 6 7 9 11 11 11 11 10 9 8 7 7 8 8 6 4 2 2 3 6 8 10 10 9 9 8 8 7 7 7 7 7 8 9 9 9 9 9 9 9 nan
nan 4 5 6 6 6 5 5 5 5 5 5 5 5 5 6 7 8 10 11 10 9 8 9 9 10 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 10 9 8 8 7 6 6 5 5 6 6 7 7 7 7 8 7 7 7 8 8 8 9 9 8 8 8 8 9 9 9 8 8 8 7 7 6 6 7 8 8 9 9 9 8 8 8 7 8 9 10 9 9 8 8 9 10 11 11 11 10 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 7 8 8 8 8 8 8 9 9 9 8 7 7 8 8 9 10 9 8 7 6 6 5 6 7 9 11 11 11 10 8 7 7 7 8 7 6 5 4 5 7 9 10 10 10 9 8 8 7 7 7 7 7 8 9 10 10 9 9 9 9 9 nan
nan 5 6 6 6 6 5 5 4 4 5 5 5 5 6 8 10 12 12 11 10 9 9 10 9 8 7 8 8 9 9 9 9 9 9 9 10 10 10 11 11 10 11 11 11 10 10 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 9 8 7 7 6 5 5 6 7 8 9 9 8 8 8 8 8 9 9 9 8 8 8 8 9 9 10 10 9 9 9 10 10 11 11 10 10 9 9 9 9 9 8 8 8 8 9 9 8 8 9 9 8 8 9 9 9 7 7 7 7 8 9 9 8 7 7 7 7 7 7 7 8 9 10 10 9 9 8 8 7 7 7 7 6 6 7 8 10 10 10 8 8 8 8 8 8 8 8 8 9 10 10 9 9 9 9 9 9 nan
nan 7 6 6 6 6 6 5 5 5 6 6 5 5 7 10 12 13 12 11 10 11 11 11 10 9 9 9 8 9 9 9 9 9 9 9 10 10 11 12 12 12 11 11 10 10 10 11 12 11 11 10 10 9 9 10 10 9 9 8 8 7 7 7 6 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 7 6 5 4 4 5 6 7 7 8 8 8 8 8 8 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 11 11 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 9 9 9 8 8 7 7 8 9 8 8 7 7 7 8 8 8 8 8 9 10 10 9 9 9 9 8 7 7 6 6 6 7 8 9 9 8 7 8 8 9 9 9 9 8 8 9 10 10 9 9 9 9 9 8 nan
nan 7 7 7 7 7 7 7 7 7 7 7 6 6 7 10 10 10 10 9 10 10 10 10 9 9 9 9 9 8 8 9 9 9 9 9 9 10 10 11 12 12 12 11 10 9 10 11 12 13 13 12 12 11 11 12 13 12 11 10 9 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 7 7 6 5 5 5 5 6 7 7 8 8 8 8 8 8 9 8 8 8 8 8 8 8 9 9 8 9 9 9 10 10 9 9 8 8 8 8 8 8 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 10 11 11 10 8 7 7 6 6 6 7 8 9 8 7 7 8 9 9 9 9 9 8 9 10 10 9 8 8 9 9 8 7 nan
nan 8 8 8 8 8 8 8 8 8 8 7 6 6 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 11 10 9 10 12 13 12 12 11 11 11 12 13 13 13 11 10 9 8 8 7 7 7 7 6 6 6 8 9 9 8 7 7 7 8 8 8 8 7 7 7 6 6 6 7 8 8 8 8 8 9 9 9 9 9 8 8 9 9 8 9 9 9 9 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 7 8 9 9 9 7 6 6 7 8 9 10 11 11 10 9 8 7 7 6 7 7 8 8 7 6 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 6 nan
nan 8 8 9 9 9 9 8 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 10 10 9 9 9 9 9 9 10 11 11 10 10 10 11 11 10 10 9 9 8 9 10 11 11 11 10 9 9 8 8 7 7 6 6 5 5 7 8 9 8 6 6 7 7 8 8 8 8 8 7 7 7 6 7 8 8 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 9 9 9 10 10 10 9 9 8 8 8 8 9 9 9 8 8 8 9 9 8 8 7 7 7 8 8 9 9 10 9 9 8 8 7 7 8 9 9 9 7 5 5 6 8 10 10 10 9 9 8 8 8 7 7 7 8 8 7 7 6 7 8 9 9 9 9 9 9 9 9 8 7 7 7 7 7 6 5 nan
nan 9 9 9 9 9 8 8 8 8 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 8 8 7 6 7 8 9 10 10 9 8 8 8 7 7 7 6 5 5 6 7 8 8 8 7 6 6 7 7 7 7 7 8 8 7 7 7 7 7 8 8 9 8 8 9 9 9 8 8 8 9 9 9 8 8 9 10 10 10 11 10 10 9 9 8 8 8 8 9 10 10 9 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 7 7 8 8 9 8 7 6 6 7 9 10 10 10 9 8 8 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 9 8 8 7 7 7 6 6 7 7 6 6 nan
nan 9 9 9 8 8 8 7 7 7 7 7 8 9 9 9 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 9 9 10 10 9 9 9 9 9 9 10 11 10 9 8 7 6 6 7 8 9 9 9 8 8 7 7 6 6 6 6 7 8 9 9 9 8 7 7 6 6 6 7 7 8 8 7 7 6 5 5 6 6 7 7 7 6 7 8 7 7 7 7 8 8 8 8 7 8 8 9 10 10 10 10 9 9 8 8 7 8 8 9 9 8 6 5 5 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 8 8 7 7 7 8 9 10 11 10 10 9 9 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 8 8 9 nan
nan 8 8 8 8 7 7 7 7 7 8 8 9 10 10 10 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 8 8 8 8 9 10 12 12 12 11 9 9 8 7 7 7 8 8 8 8 8 7 6 6 6 7 7 9 10 10 10 9 9 8 7 7 6 6 7 8 8 7 7 6 5 5 5 5 5 5 5 5 5 6 7 7 7 7 7 8 8 8 8 7 7 7 8 9 9 10 10 10 9 8 7 6 7 7 8 8 7 6 5 5 5 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 7 7 7 8 9 10 10 10 10 11 11 11 11 11 11 10 9 8 7 6 7 7 7 6 6 7 7 6 5 5 5 5 5 6 7 8 9 9 10 nan
nan 8 8 8 7 6 6 7 7 8 9 9 10 10 10 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 8 8 9 9 9 8 7 7 7 7 8 9 10 10 11 12 12 11 11 10 10 9 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 10 10 9 9 8 7 7 6 7 7 7 7 7 8 7 7 6 6 6 6 5 5 5 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 8 7 6 6 7 7 8 8 7 7 6 6 7 7 7 7 7 7 7 8 8 8 8 8 9 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 10 11 11 11 11 12 12 10 7 6 5 5 6 6 7 7 7 7 6 6 5 5 5 5 6 8 9 10 10 10 nan
nan 9 9 8 7 7 7 7 8 9 9 10 10 10 9 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 7 6 6 6 6 7 8 8 8 7 8 9 10 10 11 11 11 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 8 7 6 6 6 7 7 7 7 8 9 9 8 7 6 6 6 5 5 5 6 7 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 8 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 10 10 11 11 9 7 5 4 4 5 6 7 8 8 7 7 6 6 6 6 6 7 8 9 9 9 9 nan
nan 9 10 9 8 8 8 8 9 9 9 9 9 8 7 6 5 5 5 6 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 7 9 10 11 12 13 13 12 11 10 10 10 10 11 11 11 10 9 9 8 8 8 8 7 8 8 7 6 5 6 7 8 8 7 8 9 9 9 8 7 6 5 5 4 4 5 6 8 8 8 7 7 8 8 8 8 8 7 7 7 7 8 8 9 8 6 6 6 6 6 7 8 8 8 8 8 8 8 8 7 7 6 6 7 8 8 9 9 9 9 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 6 5 4 4 5 6 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 nan
nan 10 10 10 9 9 9 9 9 9 9 9 8 8 6 5 4 4 4 4 5 7 8 9 10 9 9 8 7 7 7 7 7 7 7 6 6 5 4 4 4 4 5 5 6 6 7 8 9 10 9 10 11 11 12 12 13 13 11 10 10 10 11 10 10 10 10 10 9 8 8 7 7 7 8 9 8 6 5 6 8 9 9 8 8 8 9 8 8 7 6 5 5 4 4 5 6 7 8 8 7 7 7 7 8 8 8 7 7 7 7 8 9 10 8 6 6 6 7 7 8 8 8 8 8 8 9 9 9 8 8 7 6 6 7 8 9 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 7 6 6 6 7 7 7 7 6 6 5 5 5 5 5 6 7 8 9 9 9 8 7 7 8 9 10 9 9 8 7 8 8 8 nan
nan 10 11 11 10 10 10 9 9 9 9 9 9 8 6 5 3 3 3 5 6 8 8 8 8 8 7 7 6 5 5 5 5 5 6 6 5 4 3 2 2 3 5 7 8 8 9 10 11 11 10 10 10 10 10 9 10 10 11 10 10 10 10 10 10 10 10 11 10 10 9 8 7 8 9 9 9 8 7 7 8 9 9 9 8 8 8 8 8 7 7 6 5 5 5 5 6 7 8 8 8 7 7 7 8 8 8 7 7 7 8 9 10 10 8 7 7 8 8 8 9 9 9 9 9 9 9 9 10 10 9 8 7 7 7 8 9 10 9 8 7 7 7 7 7 7 8 8 8 8 8 7 6 5 5 5 6 7 7 6 5 5 5 5 5 6 7 8 9 11 12 12 11 10 9 9 9 10 9 8 7 7 7 7 7 7 nan
nan 10 11 11 10 9 9 8 8 8 9 9 9 8 6 4 3 3 5 6 8 8 9 8 8 7 6 6 5 4 4 4 3 4 4 5 6 6 6 5 6 7 8 9 10 10 10 9 9 8 8 8 7 7 8 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 10 9 8 9 9 9 8 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 6 5 5 5 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 10 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 9 10 10 9 8 8 7 7 7 7 8 8 8 8 8 8 7 6 5 6 7 8 9 8 7 7 7 7 7 8 8 9 10 10 11 12 12 12 11 11 11 11 10 8 7 6 6 7 7 8 8 nan
nan 10 10 10 10 9 8 8 8 8 9 9 9 7 6 5 4 5 6 7 8 9 9 9 8 8 7 6 6 6 7 7 7 7 6 7 8 9 9 8 8 9 11 11 10 9 9 8 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 10 10 9 8 8 9 9 8 9 9 10 10 10 8 8 8 8 8 8 8 8 8 8 7 6 5 5 5 6 7 7 8 9 9 9 9 8 8 8 8 8 9 9 10 10 9 9 9 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 11 10 9 9 9 9 8 9 9 9 9 9 9 9 8 7 7 7 8 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 9 8 8 8 9 9 9 9 9 nan
nan 10 10 10 10 9 9 8 9 9 9 9 8 7 6 5 5 6 7 8 8 9 9 9 8 8 7 8 8 9 10 11 11 10 10 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 7 8 8 8 7 7 7 7 7 8 8 9 8 8 7 8 8 8 8 8 8 9 9 10 11 11 10 9 8 8 9 9 9 9 9 8 8 8 7 6 5 5 5 6 7 8 10 10 10 9 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 13 12 12 11 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 8 7 8 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 10 11 12 13 12 10 9 8 nan
nan 9 10 10 10 9 8 8 9 9 9 8 7 7 6 6 6 6 7 7 7 8 8 7 6 6 7 8 9 9 10 10 10 9 9 9 7 6 5 5 6 6 5 5 6 7 7 7 8 8 8 9 9 9 8 9 9 9 8 7 7 7 7 8 8 8 8 7 6 6 6 7 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 7 6 5 5 6 7 9 10 10 10 9 8 8 9 10 10 10 10 9 10 10 10 11 11 10 11 11 11 12 12 12 12 12 11 11 12 12 13 12 11 11 11 11 11 11 11 12 12 12 12 12 12 11 10 9 9 9 9 8 8 8 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 11 13 14 13 12 9 8 7 nan
nan 9 10 10 9 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 7 7 7 7 7 7 7 6 5 5 5 6 6 6 7 7 7 8 7 7 6 6 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 7 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 6 5 6 7 9 10 10 10 9 8 8 9 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 12 13 13 12 11 11 11 11 11 11 10 10 10 10 10 10 11 12 11 10 9 10 10 9 8 8 8 9 9 8 8 9 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 12 12 11 9 7 6 7 nan
nan 9 9 9 8 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 6 6 6 7 6 6 5 6 6 6 7 8 9 9 9 8 7 7 7 8 8 9 9 8 9 9 9 8 8 8 9 9 8 7 7 7 7 7 7 6 5 5 7 8 9 9 8 8 7 8 8 8 9 9 9 8 8 8 8 8 7 7 7 7 6 6 6 6 8 9 9 9 9 8 8 8 8 9 8 8 7 7 7 7 8 9 9 10 9 10 10 11 12 12 10 10 9 10 10 9 9 9 10 10 9 8 9 10 10 9 7 6 7 9 8 8 7 8 10 10 8 8 9 10 10 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 9 9 9 10 11 11 10 9 8 6 6 6 7 nan
nan 8 8 8 7 6 6 5 5 5 5 4 4 4 4 4 4 5 5 5 6 6 7 7 7 8 8 7 5 4 5 6 6 6 7 7 7 6 6 6 6 7 9 9 10 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 8 7 7 6 7 8 7 7 6 5 6 8 9 9 8 8 8 8 8 8 8 9 8 8 8 8 8 7 7 7 7 7 6 5 5 5 7 8 8 8 7 7 7 7 7 7 7 6 6 6 7 7 8 8 9 9 9 8 8 9 10 11 10 9 8 8 8 8 8 9 9 9 8 7 7 8 9 8 7 7 8 9 9 7 6 7 9 9 8 8 8 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 10 9 9 8 9 9 10 10 9 8 7 6 6 6 7 8 nan
nan 8 8 7 6 5 4 4 4 4 4 4 4 3 3 3 4 4 4 5 7 8 8 8 9 9 9 7 5 5 7 7 6 7 8 8 8 7 6 6 7 8 9 9 9 9 9 8 8 8 7 7 8 8 8 9 9 8 8 7 8 8 9 8 8 6 5 5 7 8 7 7 6 6 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 5 4 4 5 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 8 8 8 7 8 9 10 10 9 8 7 7 8 8 9 9 9 8 6 7 8 9 8 7 7 8 9 8 7 6 7 8 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 9 8 8 7 7 7 7 7 8 nan
nan 7 7 6 5 4 3 3 4 4 4 4 4 4 4 4 4 4 5 6 8 8 9 9 9 9 8 7 7 8 9 8 8 8 8 9 8 8 7 7 7 8 9 10 9 9 8 8 8 8 7 7 8 8 8 8 9 8 8 7 8 8 8 9 8 7 5 5 7 7 7 7 6 6 7 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 7 6 7 6 5 5 5 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 9 10 9 8 7 7 8 9 9 9 8 7 6 7 9 9 8 6 6 8 9 7 6 6 7 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 9 8 8 8 8 8 8 8 8 8 8 nan
nan 7 7 6 5 4 3 4 4 5 5 5 5 4 5 5 5 5 6 7 8 8 8 8 8 8 7 7 8 9 9 9 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 7 7 7 7 6 5 5 7 8 8 8 8 8 8 8 7 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 9 10 10 9 7 7 8 9 9 9 8 6 6 7 8 8 7 6 6 7 7 6 6 6 8 8 7 7 7 8 8 8 9 9 9 8 8 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 9 nan
nan 7 7 7 5 3 3 4 5 5 6 6 6 6 6 6 6 6 7 8 8 8 7 7 7 7 7 8 8 9 9 9 8 8 8 8 7 6 6 6 7 7 8 9 9 9 9 9 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 10 10 9 8 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 5 5 6 7 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 9 10 10 9 7 7 7 8 9 9 8 6 6 7 7 7 7 7 8 8 7 6 7 8 9 10 9 8 8 7 8 9 10 10 9 9 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 nan
nan 8 8 6 4 2 3 5 6 6 7 7 7 7 6 6 6 6 7 7 8 7 7 7 7 8 7 8 8 9 9 8 8 7 7 7 7 6 6 6 7 7 8 8 8 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 10 10 10 9 8 8 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 8 7 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 8 9 10 9 8 7 7 8 9 10 8 6 6 6 7 7 8 9 9 9 8 8 8 9 9 10 10 9 8 7 8 9 10 10 10 10 10 11 10 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 nan
nan 9 8 6 3 2 4 5 6 8 8 8 7 7 6 6 6 7 7 7 7 7 7 7 8 8 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 7 7 6 6 7 7 8 8 8 8 8 8 9 9 10 11 11 10 8 8 8 8 8 8 8 8 8 8 9 8 8 7 7 7 8 9 8 7 7 8 9 9 8 7 7 7 7 8 8 8 8 7 7 8 8 8 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 7 6 7 9 10 9 8 7 7 9 10 10 8 7 7 7 7 8 10 10 10 9 8 8 8 8 9 9 9 9 7 7 8 9 10 10 10 10 11 11 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 8 7 5 3 3 4 6 7 8 9 8 7 6 5 6 7 8 8 7 7 7 7 7 8 8 7 7 7 7 7 6 6 6 6 7 8 8 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 10 10 10 10 9 8 7 7 7 7 8 9 10 10 10 10 9 9 8 8 9 8 7 7 8 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 7 8 9 9 9 8 7 8 9 10 9 8 8 9 9 9 9 10 9 8 7 7 7 8 8 9 9 10 9 8 8 8 9 9 9 9 10 10 10 9 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 8 6 4 4 4 5 6 8 9 8 7 6 5 6 7 7 8 7 7 6 7 7 7 7 7 7 7 7 6 5 5 5 6 6 7 8 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 8 10 11 12 11 11 10 9 9 9 8 8 9 10 10 10 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 7 7 8 9 9 9 8 8 7 7 8 8 8 8 8 10 10 10 9 9 8 8 7 6 6 7 8 9 9 10 10 9 8 8 8 8 9 9 9 10 10 9 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 7 6 5 5 5 6 7 7 7 7 6 5 6 6 7 8 8 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 6 5 5 4 5 5 5 5 5 6 8 9 11 12 12 12 11 10 9 9 9 10 10 10 9 8 7 7 7 8 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 10 9 8 8 7 6 6 6 6 7 8 9 10 10 10 9 9 8 7 6 6 6 7 8 10 11 10 9 8 8 8 8 9 9 10 10 10 9 9 9 9 10 10 11 11 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 nan
nan 7 6 6 6 7 7 7 7 7 6 6 6 6 7 8 8 8 8 7 7 8 8 7 7 6 6 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 4 4 5 5 5 5 6 7 8 9 10 11 11 11 10 9 8 8 8 9 8 8 7 7 7 7 6 6 6 6 7 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 8 8 7 6 5 6 7 8 8 9 10 10 9 9 8 8 7 6 6 6 7 8 10 10 10 9 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 9 9 8 8 9 nan
nan 8 8 8 7 7 7 6 6 7 7 7 7 8 8 8 8 8 8 7 8 9 9 8 8 7 6 5 5 6 6 7 8 8 8 8 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 8 7 7 7 7 7 6 6 6 5 6 6 6 6 6 6 6 6 6 7 7 7 8 9 9 9 9 9 10 10 9 8 7 7 8 8 8 8 8 9 9 9 8 6 5 5 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 9 10 9 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 6 6 7 9 10 10 9 9 8 8 8 9 10 10 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 8 8 9 9 10 10 10 9 8 8 8 8 nan
nan 9 9 8 7 7 7 6 7 8 8 8 8 8 8 7 8 8 8 8 10 10 10 9 9 8 7 7 7 7 8 9 9 9 9 8 8 8 7 7 6 6 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 7 6 5 5 5 6 6 7 7 7 7 8 8 8 9 9 10 10 9 9 8 7 8 8 8 7 7 7 8 8 9 9 9 10 11 11 9 7 6 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 9 9 9 8 7 8 8 8 8 7 7 7 7 7 7 6 7 7 7 7 7 6 6 7 9 9 10 9 9 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 10 10 10 9 9 8 8 8 8 nan
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nan 8 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 11 11 10 9 8 7 6 6 7 8 8 8 8 8 7 7 8 8 8 8 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 11 11 12 12 12 13 15 16 16 15 14 11 9 8 8 8 9 11 12 12 12 12 12 12 12 12 12 11 10 10 10 10 11 11 11 12 12 13 12 11 10 10 10 11 11 11 11 10 10 10 11 13 14 12 11 10 10 10 8 7 6 6 8 9 10 11 12 14 15 14 12 10 9 8 7 4 3 2 2 3 6 7 9 10 11 11 11 11 11 10 8 7 7 8 9 11 12 13 13 14 14 14 14 13 11 10 9 9 11 13 nan
nan 8 8 9 9 9 9 9 9 9 8 8 8 9 10 11 12 11 11 10 9 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 9 9 9 9 9 10 10 10 9 10 11 12 12 12 12 13 14 16 17 17 15 13 10 8 8 8 9 10 12 13 13 13 13 12 12 12 12 12 11 10 9 9 9 9 9 9 9 10 10 10 10 9 8 8 9 9 10 10 9 9 8 9 12 13 13 12 12 11 9 8 7 7 8 10 12 13 14 14 15 14 12 10 9 9 9 8 7 5 4 3 5 7 9 10 12 12 11 10 9 8 7 7 7 8 9 11 12 13 14 14 14 14 14 14 12 10 9 9 10 11 13 nan
nan 8 8 8 9 9 9 8 8 8 8 8 8 9 11 12 12 11 10 9 9 7 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 9 9 10 10 9 8 8 9 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 10 11 12 13 13 12 13 13 14 16 17 16 14 11 9 8 8 9 10 11 12 13 13 13 12 12 11 11 12 11 10 9 8 8 8 9 9 9 9 9 9 9 9 8 6 6 6 7 7 8 7 7 7 8 11 13 14 14 13 11 10 9 9 9 11 13 14 15 15 15 14 13 12 12 12 12 12 12 12 12 11 10 10 10 10 10 10 9 8 6 6 6 6 6 7 8 10 11 13 13 14 14 14 14 14 13 11 10 9 9 10 12 13 nan
nan 8 8 9 9 9 8 8 8 8 8 8 9 9 10 11 11 10 10 9 8 6 6 5 5 5 6 6 6 7 7 8 8 8 8 8 9 9 10 10 10 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 10 10 10 10 11 12 13 13 13 13 14 15 16 16 15 14 12 10 9 8 8 9 10 11 12 13 12 12 10 10 10 10 10 10 9 8 8 8 9 9 10 10 10 10 9 9 9 7 5 4 4 4 5 6 6 7 7 8 11 14 16 16 13 12 11 11 10 11 12 13 14 14 14 13 12 12 13 13 13 13 13 14 16 17 16 15 14 12 10 8 7 5 3 3 4 6 7 7 8 9 11 12 13 13 14 14 14 14 13 11 10 10 9 10 11 13 13 nan
nan 9 9 10 9 9 8 7 7 8 8 9 9 10 10 10 10 10 9 8 6 5 5 5 5 5 6 7 7 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 13 13 13 13 14 16 17 17 16 13 11 10 9 9 9 10 10 10 10 11 11 11 10 9 8 8 9 9 8 7 7 8 10 10 10 10 10 10 10 9 9 9 7 5 4 3 4 5 6 6 7 7 9 11 14 16 16 13 12 11 11 11 11 12 12 13 13 13 12 12 13 13 13 13 12 12 13 15 16 17 17 17 15 13 9 7 5 5 6 7 8 8 8 8 9 10 11 12 12 13 13 14 13 12 11 10 10 10 11 12 13 13 nan
nan 9 10 10 9 9 8 8 7 7 8 9 10 10 10 10 10 9 8 7 5 5 4 5 5 6 7 8 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 11 11 11 11 11 10 10 10 11 11 10 10 11 11 11 11 11 11 12 11 11 11 11 10 10 10 10 11 11 12 13 13 13 14 15 17 18 18 16 14 11 10 9 9 10 11 11 11 10 9 9 9 10 9 8 8 8 8 8 6 6 7 9 11 11 10 10 10 9 9 9 9 8 7 5 4 3 3 4 6 7 7 8 8 10 13 15 14 13 12 11 12 12 12 12 12 12 13 13 12 12 12 12 12 11 11 11 12 13 15 16 18 18 18 16 13 10 9 9 9 9 9 8 8 8 9 10 10 11 12 13 13 14 13 12 11 11 11 10 11 12 12 12 nan
nan 10 10 10 10 9 9 8 8 8 9 9 10 10 10 10 10 9 7 6 5 5 5 6 7 8 8 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 11 12 13 14 14 15 16 17 18 18 16 14 12 11 11 11 11 12 12 12 10 9 7 6 7 8 8 8 8 8 8 7 6 7 9 10 11 11 10 10 10 9 9 8 8 9 8 7 5 3 3 4 5 7 7 8 8 9 11 12 13 12 12 12 12 11 11 11 12 14 14 13 12 11 11 11 11 11 11 12 13 13 15 16 17 17 16 14 13 12 11 10 9 9 8 8 8 9 10 11 11 12 13 13 14 14 13 13 12 12 11 11 11 11 11 11 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 7 6 5 5 5 6 7 8 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 12 12 12 12 13 13 13 13 12 12 12 11 12 13 14 15 16 16 17 18 19 19 17 15 13 12 12 12 12 12 12 12 11 9 8 7 6 6 7 7 7 7 7 7 6 7 9 10 11 12 11 11 10 10 9 8 8 9 10 9 8 6 4 3 4 5 7 8 8 8 8 9 10 12 14 14 13 12 11 11 12 13 14 14 12 11 11 11 10 10 10 11 12 13 13 14 14 13 13 11 10 10 10 9 9 8 8 8 9 9 10 11 12 13 14 14 14 14 14 14 14 13 13 12 11 11 10 10 11 nan
nan 10 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 5 6 6 7 8 9 9 9 9 8 8 8 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 13 13 13 14 14 14 14 14 14 14 14 15 15 16 18 19 19 19 20 20 20 18 17 16 14 14 13 12 11 10 10 9 8 8 8 8 8 8 8 7 7 6 6 6 7 9 11 12 12 12 12 11 11 10 8 7 8 9 10 9 8 6 4 4 5 6 8 9 8 8 7 7 9 14 17 17 16 13 12 12 13 13 12 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 9 8 7 7 7 7 7 7 8 8 9 10 10 11 12 13 14 14 14 15 15 16 15 14 12 11 11 10 10 11 12 nan
nan 9 8 8 8 8 8 9 9 9 9 9 10 10 10 10 9 8 7 7 7 8 8 9 9 9 8 8 7 8 8 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 12 13 13 13 14 14 14 15 15 15 15 15 16 16 17 18 19 20 21 21 21 21 21 20 19 18 17 16 15 14 13 13 12 10 9 8 7 7 7 7 8 8 8 8 7 6 6 7 8 10 11 11 11 12 12 12 11 11 10 9 9 9 8 7 6 6 6 5 4 6 8 9 9 8 7 5 5 9 15 19 20 17 13 12 13 13 11 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 8 6 5 5 5 6 7 7 8 9 10 10 11 12 12 13 14 15 17 18 19 19 17 14 12 11 10 11 13 14 15 nan
nan 9 9 9 9 9 8 9 9 9 9 9 10 11 10 10 9 8 8 8 8 9 9 9 9 8 8 7 7 7 8 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 12 12 13 13 14 14 15 15 15 15 16 16 16 17 17 19 19 20 20 20 21 21 21 21 20 18 17 15 13 12 12 11 11 10 10 10 10 9 8 8 7 7 7 8 8 8 8 7 7 8 9 10 11 11 10 11 12 12 12 12 11 11 11 10 10 8 6 5 5 5 5 5 7 9 10 8 7 5 5 5 11 16 19 18 14 11 10 10 9 8 9 10 10 10 9 10 10 11 11 11 11 11 10 10 9 8 7 5 4 4 5 6 7 8 8 9 10 11 12 12 13 14 16 18 20 21 21 19 17 14 12 12 14 17 19 19 18 nan
nan 10 10 10 10 10 9 9 8 8 8 9 9 10 9 8 8 7 7 8 9 9 9 9 9 9 9 8 8 8 9 10 10 10 9 9 10 10 11 11 12 11 11 11 11 10 10 11 11 12 13 13 14 14 15 15 15 16 16 16 16 16 17 18 19 19 19 18 18 17 17 17 16 15 13 11 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 9 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 10 9 8 7 6 5 6 8 9 8 6 5 5 6 8 12 14 15 14 10 7 6 5 6 8 11 12 11 10 10 10 11 11 11 11 11 11 10 9 8 8 6 4 3 4 5 6 7 8 10 11 11 12 12 13 14 16 19 22 24 22 19 16 13 12 14 17 21 24 24 22 19 nan
nan 10 10 10 10 10 10 9 8 8 8 8 9 9 8 7 6 6 6 7 8 9 10 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 11 11 12 11 11 11 11 11 11 12 12 13 13 14 14 15 15 15 15 15 15 16 15 16 16 17 17 16 16 15 14 13 12 12 11 10 9 7 6 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 8 9 10 10 11 11 11 11 11 11 11 11 11 11 11 12 13 13 13 13 11 10 9 7 6 7 9 9 6 4 4 6 8 10 11 12 11 10 8 6 5 4 7 12 15 15 13 12 13 13 12 11 11 11 11 10 9 9 9 9 7 4 3 3 5 7 8 10 11 12 12 12 12 13 16 19 23 26 26 21 15 12 11 14 20 25 28 28 25 21 17 nan
nan 9 8 8 9 9 9 8 8 8 8 9 9 8 7 6 5 5 6 7 9 10 11 12 12 12 11 10 10 9 9 9 9 9 9 9 10 11 11 12 12 11 11 11 11 12 12 13 13 14 14 15 15 15 15 14 14 14 14 14 14 14 15 15 15 15 14 13 12 11 10 9 9 8 8 7 7 8 8 8 8 8 9 9 9 10 9 9 9 9 9 9 9 8 8 9 10 10 11 11 11 10 10 10 10 9 10 10 11 11 12 13 13 14 14 13 11 9 6 6 9 9 8 4 2 3 6 9 11 11 11 10 10 9 7 6 7 12 17 18 16 15 15 15 15 13 12 12 11 10 9 9 9 9 8 5 2 1 3 5 8 10 12 12 12 12 12 13 15 18 21 23 24 21 15 11 10 13 19 25 29 30 27 22 18 14 nan
nan 7 7 6 7 8 8 9 9 9 9 9 9 8 6 5 5 5 7 8 10 11 11 12 12 12 11 9 8 8 8 8 8 9 9 10 10 11 12 12 11 11 11 11 12 12 13 14 14 15 15 15 15 15 14 14 14 14 14 14 13 13 14 14 14 14 13 12 11 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 9 9 9 9 9 9 9 8 9 9 9 10 10 11 10 9 9 9 9 9 9 10 11 11 11 12 13 15 15 13 11 9 7 8 9 8 5 1 1 4 7 10 11 11 11 11 11 10 9 9 12 17 18 17 16 16 16 15 14 13 12 11 10 9 8 7 5 4 2 -1 -2 0 4 8 11 12 12 12 13 13 14 16 18 20 20 19 16 11 8 8 12 18 23 26 27 25 21 17 14 12 nan
nan 7 7 7 8 8 9 9 10 10 10 10 9 7 6 5 5 6 8 9 10 11 12 13 13 12 10 9 8 7 7 7 8 8 9 10 11 11 12 12 11 10 11 11 12 13 14 15 15 15 15 15 14 14 14 14 13 13 13 13 13 13 13 12 12 11 11 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 10 10 11 11 11 10 11 13 14 14 12 10 9 9 10 9 7 3 1 3 6 9 11 12 12 12 11 11 10 10 12 15 16 16 16 16 17 15 14 12 11 10 10 9 7 4 2 -0 -1 -2 -2 0 4 8 12 13 13 12 12 14 16 18 21 23 23 21 16 11 8 8 11 17 22 24 23 20 17 15 13 12 12 nan
nan 8 8 8 9 9 10 10 11 10 10 9 8 7 6 6 6 7 9 10 11 12 13 13 13 13 11 9 8 7 6 6 7 8 9 10 11 12 12 12 11 11 11 12 13 14 15 15 15 14 14 13 13 13 13 13 13 12 12 12 12 12 12 11 10 9 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 11 11 10 10 11 12 12 11 9 9 10 10 8 5 2 4 7 10 11 12 13 13 12 11 11 11 12 13 14 14 14 16 18 19 17 15 12 10 8 6 4 2 -1 -2 -2 -1 2 5 9 12 13 14 13 13 13 15 18 21 24 27 28 26 23 18 14 14 15 19 22 23 21 18 14 12 11 11 12 12 nan
nan 8 8 9 9 10 11 12 12 11 10 9 8 7 7 7 7 8 9 10 11 12 12 13 14 13 12 10 8 6 5 5 6 7 8 10 11 12 12 12 12 11 12 13 13 14 15 14 14 13 12 12 12 12 12 12 11 11 11 11 11 11 10 9 9 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 7 7 8 9 9 9 10 10 10 10 10 10 11 11 12 11 9 9 10 9 7 4 4 8 10 12 13 14 15 14 12 11 11 12 13 14 14 13 13 16 20 20 18 15 11 6 3 0 -1 -2 -1 0 3 8 11 14 15 15 15 14 15 16 18 20 23 26 27 27 27 25 22 19 18 18 20 22 23 21 17 14 11 11 11 11 11 11 nan
nan 9 9 9 10 10 12 12 12 12 10 9 9 8 8 8 8 8 9 9 10 11 12 13 14 14 13 11 8 5 4 4 5 7 8 10 11 12 12 12 12 12 13 14 14 14 14 13 13 12 11 11 11 11 11 11 10 9 9 10 10 9 9 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 7 5 5 6 7 8 8 8 9 9 10 10 10 11 11 11 11 11 11 12 11 10 10 10 9 8 7 8 10 12 13 15 17 16 13 11 11 13 14 15 15 14 13 13 16 18 18 16 13 7 2 -0 -0 1 4 7 10 14 18 19 19 18 17 17 19 20 21 23 25 25 25 23 21 20 18 16 15 16 17 19 20 19 17 15 13 12 11 11 11 11 11 nan
nan 9 9 9 10 10 11 12 12 11 11 10 9 9 9 8 8 7 8 8 9 10 12 13 14 14 14 13 9 6 4 4 5 7 9 10 11 12 12 13 13 14 14 14 14 14 13 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 6 4 4 6 7 9 9 9 9 9 10 10 11 11 11 11 11 11 12 11 11 10 10 10 10 9 10 10 11 11 12 15 15 13 11 10 13 16 18 17 16 14 14 15 17 18 18 18 13 7 5 6 8 12 15 18 20 23 24 23 20 18 19 21 22 23 22 22 21 19 17 14 13 13 12 11 11 13 15 17 17 16 14 13 13 12 12 12 11 11 11 nan
nan 8 8 9 10 11 11 11 11 11 10 10 10 10 10 9 8 7 7 7 8 10 12 13 15 15 15 13 10 7 5 5 6 8 10 11 12 12 13 13 14 15 15 14 14 13 12 12 11 11 12 12 11 11 11 11 10 10 9 9 9 8 8 9 9 9 9 10 11 11 11 11 10 10 9 9 8 8 8 8 9 10 9 9 9 9 9 9 9 9 9 9 9 9 8 5 5 5 6 8 9 9 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 13 12 11 10 12 17 20 21 19 16 15 16 18 21 22 23 22 17 13 13 15 18 20 22 24 25 25 23 19 15 14 16 17 17 16 15 14 13 11 10 10 11 12 13 13 13 14 15 15 14 13 13 13 13 12 12 12 11 11 11 nan
nan 8 9 9 10 11 11 11 10 10 10 10 11 11 11 10 8 7 6 6 8 10 11 13 14 15 14 13 10 9 8 8 9 10 12 12 12 13 13 14 15 15 14 14 13 12 12 11 11 11 12 12 12 12 12 11 11 10 10 9 9 8 8 8 8 8 8 9 10 11 11 11 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 8 6 5 6 8 9 9 9 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 10 11 11 11 11 12 15 19 20 20 17 16 16 18 21 23 23 23 21 18 17 17 18 20 21 22 22 21 19 15 10 8 9 12 14 14 12 12 12 12 11 13 14 16 17 17 17 16 16 15 14 13 12 12 13 13 12 12 12 12 12 12 nan
nan 9 9 10 11 11 11 10 10 10 10 10 11 11 11 10 8 6 6 6 8 9 11 12 13 13 12 11 10 10 10 11 12 13 14 14 14 14 15 15 15 14 14 13 12 12 12 12 11 11 11 12 12 12 12 12 11 11 10 10 9 9 8 8 7 7 8 9 9 10 10 10 11 11 10 9 9 9 9 10 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 6 6 7 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 11 11 12 13 15 16 16 15 14 14 15 16 18 19 18 17 15 14 14 15 15 16 17 17 16 14 12 10 9 10 13 17 18 19 18 18 18 18 18 20 21 21 19 17 17 16 15 14 13 13 13 13 13 12 12 12 12 12 13 13 nan
nan 9 10 11 11 11 11 10 10 10 10 11 11 11 10 9 8 7 7 7 8 10 11 12 12 11 10 10 10 11 12 14 15 15 15 15 15 15 15 15 15 14 12 12 12 12 12 12 11 11 11 11 12 12 12 11 11 10 10 10 10 10 9 8 8 8 9 9 9 9 9 10 11 11 10 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 7 8 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 8 8 9 9 9 10 11 12 13 13 13 13 13 12 12 12 12 13 13 12 12 11 11 11 11 12 13 14 14 12 11 12 13 15 18 20 21 22 22 21 21 21 20 20 21 20 19 17 16 16 15 15 14 14 13 13 13 12 12 12 12 12 12 13 14 nan
nan 10 11 11 11 11 11 11 11 11 11 11 11 10 9 9 8 8 8 9 10 11 11 12 11 10 9 9 10 12 13 14 15 14 14 14 14 15 15 14 14 13 12 12 12 12 11 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 6 6 6 7 8 9 9 8 8 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 8 7 6 6 5 5 7 9 11 12 12 13 13 13 12 12 11 11 11 11 11 10 9 8 8 9 10 12 14 14 14 13 13 14 16 17 17 18 18 18 18 17 17 16 16 17 17 17 16 15 15 15 15 15 14 14 14 13 12 12 12 12 12 12 12 11 11 nan
nan 10 11 11 11 11 11 12 12 12 11 11 10 10 9 9 9 9 9 9 10 12 12 12 10 9 9 10 11 13 14 14 14 13 13 13 14 14 14 13 13 12 12 12 11 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 10 10 9 9 9 9 9 9 8 7 7 9 10 10 10 10 9 9 8 8 8 9 9 9 9 10 10 9 9 8 7 6 6 5 5 5 6 7 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 6 3 1 0 -0 1 4 7 10 11 11 12 12 12 12 11 10 10 10 10 10 8 5 4 5 8 12 15 16 16 15 14 14 14 14 14 13 13 13 13 13 13 13 13 14 14 15 15 15 15 15 15 15 14 14 13 13 13 12 12 11 11 11 11 11 10 9 nan
nan 10 11 11 12 12 12 12 11 11 10 10 10 10 9 9 8 8 8 9 11 12 12 11 10 9 10 10 12 13 14 14 13 12 12 13 13 13 13 13 12 12 12 11 11 11 11 12 12 13 12 12 12 12 11 11 11 10 9 9 9 8 8 8 9 9 10 9 8 7 8 9 10 10 10 10 9 9 9 9 9 8 8 8 9 10 11 11 11 9 7 6 5 5 5 5 5 6 7 7 7 8 8 9 9 10 10 11 11 11 10 10 10 10 9 9 8 7 5 1 -2 -3 -3 -1 3 6 9 10 11 11 11 11 10 9 7 7 8 9 9 7 4 -0 1 5 11 17 19 18 16 14 14 13 13 12 12 11 11 11 11 12 12 13 13 13 14 14 15 15 15 15 14 14 14 13 12 12 11 11 11 11 11 10 10 10 10 9 nan
nan 10 11 12 12 12 12 11 11 10 10 10 10 10 9 9 8 8 8 9 11 12 11 10 10 10 10 11 13 13 14 13 13 13 12 13 13 13 13 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 9 8 7 7 7 7 8 8 9 9 8 8 9 9 10 11 10 10 10 11 11 11 10 8 7 7 7 8 10 11 11 10 8 7 6 5 5 5 5 5 6 6 7 7 7 8 8 9 10 10 11 11 10 10 10 9 8 7 5 3 -0 -4 -5 -4 -1 4 8 11 12 13 12 12 11 10 7 5 3 4 6 7 7 4 -1 -2 3 11 19 24 22 17 14 13 12 12 12 12 11 11 11 11 11 12 12 12 13 13 14 14 15 15 15 14 14 13 13 13 12 11 11 11 10 10 10 10 10 10 10 10 nan
nan 11 12 13 13 12 12 11 11 11 12 12 12 11 10 9 8 8 9 10 11 11 11 10 10 10 11 12 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 8 7 7 6 7 7 7 8 8 8 8 9 10 10 10 11 11 12 13 14 14 13 10 8 6 5 5 6 7 8 8 8 7 6 6 7 7 7 7 5 5 5 6 6 6 7 7 9 10 10 11 11 10 9 7 5 3 1 -2 -4 -6 -4 1 6 10 12 12 13 14 14 14 13 11 8 6 5 6 8 9 7 4 0 3 12 21 28 28 22 17 13 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 14 14 15 15 14 14 13 13 12 12 11 11 11 10 10 10 10 10 11 11 11 nan
nan 12 12 12 12 11 11 10 10 11 12 13 13 12 10 9 8 9 10 11 12 11 10 10 10 11 11 12 13 13 13 12 12 12 12 12 13 13 12 12 11 11 11 11 10 10 10 10 10 10 10 11 11 12 11 11 10 9 9 9 8 8 7 7 7 7 8 8 8 9 9 10 10 10 11 11 13 15 16 17 15 13 11 9 7 5 5 4 4 4 4 5 6 7 9 10 11 10 8 7 6 6 5 5 5 5 7 8 10 11 11 10 8 6 4 1 -1 -2 -3 -1 3 8 11 12 12 12 12 13 14 13 13 13 11 11 12 13 13 12 10 8 8 15 22 30 32 27 20 15 12 11 11 10 11 10 10 11 11 11 11 12 12 12 12 13 13 13 14 14 14 14 14 13 13 12 12 11 11 11 10 10 10 10 11 11 11 11 nan
nan 12 12 12 11 10 10 10 10 11 11 12 12 11 10 9 9 9 10 11 11 11 10 10 10 11 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 11 11 11 11 10 9 10 10 10 10 11 12 12 11 11 10 10 10 10 10 9 9 8 8 9 9 9 10 10 10 10 11 11 11 12 12 14 15 16 16 16 16 15 13 11 8 6 5 5 6 7 9 10 12 13 13 13 13 12 11 11 9 8 6 5 5 7 9 10 10 10 10 9 7 5 4 3 4 6 9 11 12 12 12 12 12 12 12 12 13 13 14 14 15 15 15 14 13 12 15 21 26 30 28 21 16 12 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 13 13 14 14 14 14 14 13 13 12 12 11 11 11 11 11 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
84 114 193 326 489 628 700 681 591 486 412 387 393 403 409 400 377 355 345 350 349 343 334 328 326 325 327 332 334 334 339 351 358 358 355 353 349 344 340 333 324 323 324 318 307 292 269 236 210 190 179 166 171 220 308 423 512 577 602 588 574 598 596 549 528 511 485 452 424 405 398 409 442 488 526 539 522 489 447 424 410 394 371 344 328 308 249 195 155 113 67 42 25 45 60 63 51 33 24 27 11 22 40 47 49 54 54 45 36 32 29 25 19 10 5 3 2 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
129 218 369 565 736 825 806 712 592 487 426 411 397 395 390 377 365 372 382 387 381 368 360 360 366 375 385 396 396 393 388 381 367 346 322 300 276 250 229 214 208 212 217 216 209 198 183 162 146 142 159 171 190 236 306 384 469 552 602 602 576 565 551 528 514 496 472 446 424 407 387 381 405 457 518 564 579 567 484 389 329 301 278 249 240 222 179 147 98 43 13 5 1 3 3 1 0 0 1 0 0 0 4 5 4 7 13 12 12 10 7 5 5 3 3 3 2 3 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
234 391 607 839 958 939 837 706 582 490 440 420 397 388 377 367 369 385 398 400 395 390 393 398 403 414 425 432 427 416 402 382 352 314 276 239 200 160 126 106 99 98 103 108 109 102 93 91 85 110 139 167 198 238 282 332 402 471 533 553 534 518 502 489 479 462 442 425 414 406 390 377 381 413 467 513 527 538 429 288 205 169 143 117 118 130 116 75 31 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 2 4 3 2 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
407 611 827 1010 1060 982 851 711 590 505 454 415 392 382 376 377 385 395 396 390 390 396 407 411 408 411 413 410 399 382 358 327 291 254 226 203 166 129 96 61 34 30 29 30 31 28 26 41 44 83 124 164 205 250 293 319 365 418 466 488 480 463 438 418 408 399 389 381 386 397 398 390 382 386 395 386 340 320 231 129 68 45 35 27 31 42 41 22 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 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
646 846 995 1073 1054 944 801 674 569 490 437 399 390 397 405 410 411 404 389 381 386 391 381 365 352 351 352 347 335 318 297 272 243 206 183 183 156 126 98 56 12 5 3 2 3 4 2 5 36 82 128 171 224 300 386 370 369 408 438 444 428 399 358 342 335 341 343 340 341 344 345 338 311 279 256 233 161 106 58 25 8 3 2 2 3 5 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
876 1012 1082 1081 998 838 699 591 511 451 410 392 399 411 417 424 426 418 401 394 391 376 348 320 302 297 296 293 287 277 264 247 224 190 165 174 161 136 108 77 39 20 8 3 4 5 9 25 65 117 162 197 236 292 352 325 331 371 400 405 390 364 324 318 312 317 317 302 273 234 213 193 152 109 82 71 44 18 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
976 1054 1076 1035 918 742 618 527 468 437 423 416 423 433 439 445 445 436 419 408 389 363 331 302 285 280 280 280 282 278 265 247 231 214 197 202 200 185 162 135 100 79 49 33 25 24 33 62 110 156 190 209 218 224 233 241 267 293 314 324 327 326 307 297 282 267 247 213 164 105 71 52 32 16 7 3 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
979 1044 1052 990 864 721 621 547 508 495 490 479 466 454 444 440 436 427 416 408 389 368 345 322 306 300 304 307 313 310 298 286 278 272 263 258 253 244 232 214 186 157 121 94 74 62 64 86 116 146 170 186 185 173 167 186 205 201 208 216 214 211 193 178 163 143 117 85 50 21 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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