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 8 9 9 9 7 6 5 6 8 10 10 10 9 8 8 8 7 6 6 6 8 9 10 11 10 9 9 9 10 10 10 10 9 8 7 6 6 8 10 12 13 12 11 9 8 8 9 8 8 8 8 7 7 7 7 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 9 9 8 8 9 9 9 8 9 9 9 9 10 10 11 9 8 8 8 8 8 8 7 6 6 7 6 6 7 7 6 6 7 7 8 8 9 9 10 11 12 12 10 9 8 7 6 6 6 6 6 5 6 7 8 9 10 11 11 9 8 8 8 8 9 10 10 11 11 10 8 6 5 6 8 9 9 7 5 2 2 3 4 5 6 7 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 nan
nan 6 7 8 8 7 6 6 6 7 9 10 9 8 8 8 8 9 9 8 8 8 9 10 11 11 10 9 9 9 10 10 10 10 9 8 8 8 9 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 7 7 7 7 7 8 9 10 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 8 8 8 9 9 10 11 12 12 12 11 9 8 7 6 5 5 4 5 5 6 7 8 10 11 10 9 8 7 7 8 9 9 10 10 10 9 7 6 6 8 9 10 9 7 3 1 1 2 4 6 7 8 9 8 8 8 7 7 7 7 7 7 7 7 8 8 9 nan
nan 5 6 7 8 7 6 6 7 8 9 9 8 8 8 9 10 11 11 10 9 9 9 10 10 9 8 8 8 9 9 10 10 9 8 8 9 10 11 12 11 11 11 10 10 11 12 12 11 11 11 11 10 11 11 11 11 10 9 8 8 7 7 7 7 8 8 8 7 6 6 6 7 7 7 6 6 7 7 6 6 6 7 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 9 9 8 8 7 7 8 8 8 7 6 6 6 6 6 6 7 7 8 8 9 9 9 10 10 11 12 12 10 9 8 7 6 5 5 5 5 6 7 8 9 9 9 9 8 8 8 8 9 9 9 9 9 8 7 7 8 9 10 11 9 6 1 -1 -0 1 4 6 8 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 9 nan
nan 5 6 7 7 7 6 6 7 7 8 9 8 8 8 10 11 12 12 10 9 9 9 9 9 8 7 7 8 8 9 10 10 9 7 8 9 10 11 12 12 12 12 10 10 12 13 13 12 11 11 11 12 12 13 13 12 11 10 9 8 8 8 8 7 7 7 7 6 6 6 6 6 6 7 7 6 7 7 7 6 6 6 7 7 7 8 8 8 8 8 9 9 9 10 9 9 8 9 9 10 10 10 9 8 7 8 8 9 9 8 8 7 7 6 6 6 7 8 8 8 8 8 8 8 8 10 11 11 10 10 9 9 8 7 6 6 5 6 7 8 8 7 7 8 9 9 10 10 9 9 9 9 8 7 7 7 8 10 11 11 9 4 -0 -2 -1 1 4 7 9 9 9 8 8 7 7 6 6 6 6 7 8 8 8 9 9 nan
nan 4 6 7 7 8 8 7 7 7 8 9 8 8 7 8 10 10 10 9 9 9 9 9 8 8 7 8 8 9 10 11 12 10 8 9 9 10 10 11 12 13 12 11 11 12 14 14 12 12 12 12 13 13 13 13 13 12 10 9 9 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 7 8 8 8 9 9 10 10 10 9 8 8 8 9 10 10 10 10 9 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 10 9 9 8 7 6 6 7 8 8 7 7 7 8 9 11 11 10 9 9 8 8 8 8 8 8 9 11 10 7 2 -1 -2 -0 3 6 8 9 9 8 7 7 7 6 5 5 6 7 8 8 8 8 9 9 nan
nan 4 5 6 7 8 9 9 8 8 9 9 8 7 7 8 8 9 8 8 8 8 8 8 8 8 8 9 10 10 11 12 12 11 10 9 9 9 9 9 10 12 12 11 11 12 13 13 12 12 12 13 13 13 12 12 12 12 11 10 9 9 8 8 7 7 7 7 7 7 7 6 6 6 6 6 5 5 6 6 6 6 7 7 6 7 8 9 9 9 9 9 10 10 10 9 9 8 8 9 10 11 11 11 10 9 9 8 7 7 8 10 10 10 9 8 7 7 6 5 5 6 6 6 6 7 7 7 8 9 10 10 10 9 9 8 7 6 6 6 7 8 8 7 7 7 9 11 12 11 10 9 9 9 9 9 8 8 9 10 8 4 0 -1 -0 3 6 8 9 9 8 7 6 6 6 6 6 6 7 8 9 8 8 9 9 9 nan
nan 4 5 6 8 9 9 9 8 8 9 9 8 6 7 8 8 8 7 7 7 7 7 7 7 8 9 10 10 10 11 11 11 10 10 9 9 8 8 8 9 10 11 11 12 12 11 11 11 11 11 12 12 11 10 10 11 10 10 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 6 7 7 7 7 8 9 9 9 8 9 9 10 10 10 9 8 8 9 10 10 11 11 10 9 8 7 6 6 7 9 10 10 9 8 7 6 5 5 5 5 5 6 6 6 7 7 7 9 10 10 10 9 8 8 7 7 7 6 6 7 8 8 7 7 8 9 11 12 12 11 10 10 10 9 9 9 9 9 7 3 1 1 3 7 10 11 10 8 6 5 5 6 6 6 7 8 8 8 8 8 9 9 9 9 nan
nan 4 5 6 8 9 8 8 7 7 8 8 7 6 7 8 8 7 7 7 7 7 7 7 8 9 9 10 11 11 10 10 9 9 9 9 8 8 7 7 8 9 10 11 11 11 10 10 10 10 10 9 9 8 7 8 8 8 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 5 6 6 6 6 6 6 7 8 9 8 8 8 8 8 9 10 10 9 8 8 8 9 9 10 10 10 9 8 7 7 6 7 8 9 10 9 8 7 6 6 6 6 6 6 7 7 7 7 7 8 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 10 12 12 12 11 11 10 9 9 8 8 8 6 4 3 4 8 11 12 12 9 6 5 5 6 6 6 7 7 8 8 7 7 8 8 8 8 8 nan
nan 4 5 7 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 7 8 9 9 9 9 10 10 11 11 11 10 9 9 8 8 8 8 7 8 9 9 10 10 10 10 10 10 11 11 11 9 8 7 5 5 5 5 5 5 6 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 7 7 6 6 6 7 8 8 8 8 8 8 8 8 9 9 9 8 8 7 8 9 9 9 9 8 8 8 8 7 7 7 8 9 9 8 7 6 6 6 6 6 7 8 7 7 7 8 8 9 9 9 8 7 7 6 6 6 7 8 8 7 7 7 8 8 7 7 8 10 11 12 11 12 11 10 9 8 7 7 6 4 5 7 10 12 12 10 7 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 nan
nan 5 6 7 8 8 8 7 7 6 6 6 6 8 9 8 7 7 7 8 9 9 9 10 10 10 10 10 10 10 9 8 8 8 8 8 7 7 9 10 11 11 10 9 8 8 10 12 13 13 11 10 8 7 6 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 7 7 7 7 6 6 6 6 7 7 8 8 8 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 8 7 7 6 6 6 7 8 8 7 8 8 9 9 9 8 8 7 7 6 6 6 8 8 8 8 8 8 9 9 7 7 7 8 9 10 11 12 11 9 7 6 6 6 5 5 6 9 10 10 9 7 5 5 6 7 7 8 8 8 7 7 7 7 7 7 6 5 5 5 nan
nan 6 7 8 8 8 8 8 7 6 6 6 7 8 8 8 8 8 9 9 10 9 9 9 9 10 10 10 10 10 9 8 8 7 8 8 8 8 8 10 10 11 11 10 8 8 9 11 14 14 13 12 11 10 9 9 9 8 8 7 7 7 6 7 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 7 6 6 5 5 6 7 7 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 8 7 6 6 7 8 8 8 9 9 10 10 9 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 8 7 7 6 6 7 9 10 10 8 6 5 6 6 6 6 7 8 8 8 7 6 6 7 7 7 8 9 9 8 7 7 7 7 7 7 6 5 5 5 nan
nan 7 8 9 9 9 9 8 7 6 5 6 7 8 8 8 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 9 8 8 8 8 8 8 8 9 9 8 9 9 9 9 9 10 13 14 13 13 12 11 11 11 12 12 11 10 9 8 6 7 7 8 8 7 7 7 6 6 7 7 7 8 7 7 7 7 7 6 5 5 6 7 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 8 8 9 8 8 8 8 8 9 9 8 8 8 9 10 9 9 8 7 7 7 8 9 10 10 10 10 10 9 8 8 9 9 9 8 8 7 7 8 8 9 9 9 9 8 7 5 5 6 7 8 9 9 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 8 9 10 10 9 8 8 8 8 8 8 8 7 7 6 nan
nan 8 8 9 9 9 9 8 6 5 5 6 6 7 8 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 8 7 7 8 8 8 8 7 7 8 8 9 9 10 12 13 13 12 11 10 9 10 12 13 13 12 10 9 8 8 8 8 7 7 7 6 6 6 7 8 8 8 8 8 7 7 7 7 6 5 5 5 6 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 10 11 11 10 9 9 8 8 9 10 10 10 9 8 8 8 8 8 9 10 10 8 7 5 5 6 7 8 8 8 8 8 9 9 9 8 7 7 7 7 8 8 8 8 8 7 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 nan
nan 7 8 8 8 8 8 7 5 5 5 6 6 7 8 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 10 10 9 8 8 8 9 9 9 8 7 6 7 8 8 9 10 11 12 11 10 9 8 8 8 9 11 12 11 10 9 9 9 8 8 7 7 7 6 6 7 8 8 8 8 8 8 8 8 7 7 7 6 5 4 5 6 7 8 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 9 9 8 8 8 8 8 9 8 7 7 8 9 9 9 9 9 8 8 9 9 10 10 9 8 8 8 8 8 9 9 10 9 7 6 6 6 7 8 8 9 9 10 11 12 12 10 8 7 6 7 7 8 8 8 8 8 9 9 10 10 11 12 13 13 12 11 11 11 11 11 11 nan
nan 7 7 8 8 8 7 6 5 5 6 6 6 7 8 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 8 8 8 8 8 9 9 10 10 9 8 7 7 7 7 7 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 9 9 8 7 7 8 8 7 5 5 4 4 6 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 9 10 9 8 8 8 8 9 9 8 7 6 6 7 8 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 9 9 9 8 7 7 7 8 9 9 10 11 11 12 12 12 12 10 9 8 7 7 8 8 8 8 8 8 8 9 10 12 13 14 14 13 11 10 10 11 11 12 nan
nan 7 7 7 7 7 6 6 6 6 6 7 7 7 8 8 9 9 9 8 7 7 7 6 7 7 8 9 8 8 7 7 8 8 9 10 10 10 11 11 11 11 10 10 9 9 9 9 9 10 10 9 8 8 8 7 7 7 7 8 8 8 9 8 8 7 7 6 6 7 8 8 8 8 8 9 9 9 8 7 8 9 8 7 6 6 4 4 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 10 10 9 8 8 7 8 8 8 8 7 6 6 6 7 9 10 10 10 10 9 8 7 7 6 6 6 7 7 8 8 9 9 10 9 8 8 8 9 9 10 10 11 11 11 11 10 11 11 10 10 9 8 8 8 7 7 7 7 8 8 10 12 13 14 13 11 9 9 10 11 11 11 nan
nan 7 7 7 7 7 6 6 6 7 7 7 8 7 7 7 8 8 8 8 7 6 5 5 6 7 8 8 8 6 5 5 5 6 7 8 9 9 10 10 11 11 10 10 10 9 9 9 8 9 9 9 9 9 8 7 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 8 8 8 8 9 8 7 7 7 8 8 7 7 6 5 4 4 4 5 6 7 7 7 7 7 6 7 7 7 8 8 7 7 7 8 8 9 9 8 8 8 9 10 10 9 9 8 7 8 8 8 8 8 8 7 7 8 9 9 10 10 10 9 8 8 7 6 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 11 10 9 8 7 6 6 6 7 7 8 9 10 11 11 10 9 8 9 10 11 11 11 nan
nan 8 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 6 5 6 7 8 8 7 6 5 4 5 5 6 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 8 7 8 8 8 8 8 9 9 8 8 7 7 7 7 7 8 8 8 8 9 8 8 7 7 7 7 7 6 5 5 5 4 4 4 4 5 6 7 7 7 7 7 7 7 7 7 8 8 8 7 8 8 8 8 8 8 9 9 10 10 9 8 7 7 8 8 9 8 8 8 8 8 8 8 7 7 8 8 9 9 8 8 7 7 7 6 6 7 8 8 8 8 8 9 8 8 7 6 6 7 7 7 8 8 8 9 11 12 12 11 9 8 6 5 5 5 6 7 7 7 8 9 9 8 8 8 9 10 10 10 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 6 7 8 8 7 5 4 4 5 6 6 6 7 7 8 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 9 10 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 6 6 7 8 7 6 5 5 5 5 4 4 4 4 5 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 9 8 7 7 7 8 8 9 9 8 8 8 8 8 7 7 7 7 7 8 9 8 8 8 8 7 6 7 8 8 9 9 9 10 10 9 7 6 5 6 7 8 8 8 8 9 10 10 11 11 10 9 8 7 5 5 5 6 6 6 5 6 7 8 8 7 8 8 9 9 8 8 nan
nan 9 8 8 8 9 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 8 7 7 7 6 4 4 4 5 7 7 7 6 6 7 7 6 6 5 5 5 5 6 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 8 8 8 9 9 8 6 6 7 8 8 7 6 6 6 6 5 5 4 4 5 5 6 6 7 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 10 10 9 8 7 7 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 10 10 10 10 10 9 8 7 6 6 7 8 8 8 8 8 8 9 9 9 8 8 8 9 8 7 7 7 7 6 4 4 5 6 7 7 7 7 7 7 7 8 8 nan
nan 9 9 8 8 8 8 9 9 8 8 8 8 7 7 8 9 10 11 11 9 6 5 5 5 4 4 4 5 7 7 7 7 7 6 6 6 6 5 5 5 5 5 6 7 7 8 8 8 8 8 8 8 9 9 10 11 11 11 10 9 9 8 8 9 9 9 9 9 10 9 8 8 9 10 9 9 8 8 7 8 8 7 7 7 7 6 6 6 6 5 5 5 5 6 6 7 8 8 8 7 7 7 8 8 9 8 8 8 8 8 9 10 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 8 8 9 9 11 11 11 11 10 9 7 7 7 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 10 9 8 7 6 6 6 8 8 7 6 6 6 7 7 8 7 nan
nan 9 9 8 8 8 8 8 9 8 8 8 8 8 9 9 10 11 10 8 5 3 2 2 3 4 5 6 7 7 7 7 7 7 7 6 6 6 5 5 5 5 6 7 7 8 8 8 8 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 10 10 11 11 10 9 9 9 10 10 10 11 10 9 8 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 6 7 8 8 8 7 7 8 9 9 8 8 8 8 8 9 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 8 8 8 8 8 9 10 11 11 10 9 8 6 5 6 8 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 10 9 8 8 8 8 9 10 9 6 6 6 6 7 8 8 7 nan
nan 9 8 8 7 7 8 8 8 8 8 8 9 9 10 10 10 10 8 5 2 1 1 2 3 4 6 7 7 7 7 7 7 7 7 6 6 6 5 5 5 6 7 8 8 8 7 7 8 8 8 8 8 8 9 9 8 7 8 9 9 9 9 8 9 9 10 10 11 11 11 10 9 9 10 10 10 11 11 10 8 7 6 6 6 7 7 7 7 7 7 7 7 7 6 5 5 6 7 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 8 9 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 8 6 3 3 6 9 10 9 9 8 9 9 8 8 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 9 9 10 10 8 7 7 7 8 8 8 7 7 nan
nan 8 8 7 7 7 7 8 7 7 7 8 9 10 10 9 9 8 6 3 2 2 3 4 5 6 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 7 9 10 9 8 7 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 8 8 9 10 10 10 10 9 8 8 8 8 8 8 9 8 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 7 6 6 6 6 7 8 9 9 9 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 10 9 9 9 9 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 8 7 6 4 2 4 7 9 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 8 9 9 10 10 9 7 6 7 nan
nan 8 8 7 7 7 7 7 7 7 7 9 9 9 9 9 8 7 5 3 3 3 4 4 5 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 6 7 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 10 9 7 6 6 7 9 10 9 8 7 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 9 9 8 8 8 6 5 6 7 8 9 9 8 7 8 9 9 10 10 9 9 8 8 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 10 10 10 10 10 9 9 9 9 9 8 6 5 4 4 4 5 7 8 9 10 9 9 9 9 9 8 8 8 9 9 9 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 7 7 8 nan
nan 8 8 8 8 7 7 7 7 7 8 9 9 9 8 8 7 5 3 2 2 3 4 5 6 7 7 7 7 7 7 7 7 8 8 8 7 6 5 5 5 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 7 6 6 6 8 9 9 8 7 6 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 7 6 7 8 9 9 10 9 8 8 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 6 4 4 4 6 7 8 8 8 9 9 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 8 8 7 7 9 10 nan
nan 9 9 8 8 8 8 7 7 8 9 10 9 8 8 7 5 2 1 1 3 4 5 5 6 6 6 7 7 8 8 8 7 8 8 8 7 6 5 4 4 5 7 8 9 10 10 10 9 9 9 9 9 9 9 9 9 10 9 9 8 8 8 9 9 9 9 8 7 6 5 6 6 6 5 5 5 6 6 7 7 7 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 8 7 5 5 5 6 7 7 8 8 8 9 10 10 11 9 8 7 7 8 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 9 10 nan
nan 9 9 8 8 8 8 8 8 8 9 10 9 8 7 5 3 2 2 3 5 5 5 5 5 6 6 7 8 9 8 7 7 7 7 7 6 6 5 5 5 6 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 10 8 7 6 6 7 8 8 7 6 5 6 7 7 7 8 8 8 8 7 7 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 8 8 7 7 7 7 6 5 6 7 8 8 8 9 10 10 9 8 7 7 8 9 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 nan
nan 9 9 8 8 8 8 8 8 8 10 10 9 7 5 4 3 3 4 6 6 6 6 5 5 6 7 8 9 8 8 7 6 7 7 8 7 7 6 6 6 7 9 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 11 10 9 8 7 7 7 8 9 10 10 8 6 5 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 10 9 8 7 7 8 8 9 8 7 7 7 7 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 10 9 9 9 9 9 9 9 10 10 9 8 8 7 6 7 8 9 7 6 6 7 7 7 7 8 9 9 8 7 7 7 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 nan
nan 9 9 8 8 8 8 8 8 9 10 10 8 5 4 4 4 6 6 7 7 6 6 6 6 8 9 10 9 8 8 7 8 8 8 8 8 8 7 6 7 8 9 10 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 7 6 7 7 8 8 9 10 9 7 6 6 7 7 7 7 8 8 8 7 7 8 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 9 8 8 9 10 10 9 9 8 8 8 9 9 9 9 9 8 8 8 7 6 8 9 9 7 7 6 6 5 6 8 9 9 9 8 7 7 8 9 9 9 9 9 9 8 8 8 8 9 8 8 8 9 9 9 9 9 8 8 8 9 9 8 nan
nan 9 9 9 9 9 9 9 9 9 9 9 6 4 4 5 6 6 6 6 6 6 6 6 7 9 10 9 9 8 8 8 9 9 9 9 8 8 7 7 7 8 8 9 9 9 9 9 9 8 8 8 7 7 7 8 9 9 9 9 9 10 10 9 8 8 8 9 9 9 9 8 8 7 7 8 8 8 7 7 8 8 7 6 7 7 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 10 10 11 10 9 8 8 9 10 11 10 9 8 8 8 8 8 9 9 9 9 9 9 7 6 7 9 9 8 6 6 5 5 6 7 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 nan
nan 9 9 10 10 11 11 10 9 9 8 7 5 4 5 6 6 6 6 6 6 6 6 7 8 9 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 7 7 7 8 10 10 10 9 8 8 7 7 6 6 6 7 8 9 9 9 10 10 10 10 10 10 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 10 9 8 8 9 10 10 10 9 9 8 8 8 8 9 10 9 9 9 9 8 7 7 8 8 7 5 5 5 6 7 8 9 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 nan
nan 9 10 11 11 12 11 9 9 8 7 6 5 5 6 6 6 6 6 6 7 7 7 7 7 7 6 6 7 8 8 8 8 8 8 8 8 8 7 7 6 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 7 7 8 9 10 11 11 10 9 8 7 7 7 7 7 6 7 8 9 9 9 9 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 8 8 8 9 9 9 9 9 9 8 8 9 10 10 9 8 9 9 8 7 7 7 6 4 4 4 6 8 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 10 10 9 9 8 8 8 8 9 9 8 8 9 9 8 8 nan
nan 9 10 11 11 11 10 8 7 6 6 5 6 6 6 6 6 6 6 6 7 7 6 6 7 6 6 6 7 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 9 9 9 9 9 9 9 10 11 11 11 10 9 8 8 7 7 7 8 9 10 10 11 10 9 8 8 9 9 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 7 6 5 4 4 5 6 8 11 11 10 9 8 8 9 9 9 9 9 10 10 11 11 11 10 10 10 9 9 9 9 8 8 8 8 8 9 8 9 9 9 8 8 nan
nan 9 10 11 11 10 8 7 6 5 5 5 6 6 6 6 7 7 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 11 11 11 10 9 8 8 7 7 7 8 9 9 10 9 9 9 9 10 10 10 9 9 8 8 8 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 9 8 8 9 10 10 9 9 9 9 9 9 10 10 10 9 9 9 8 7 6 5 5 5 6 7 8 10 11 11 9 8 8 8 9 9 9 9 10 11 11 12 11 11 10 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 9 nan
nan 10 11 11 10 9 8 6 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 10 10 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 7 7 7 7 7 8 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 10 10 9 9 8 9 10 11 10 9 9 9 9 9 9 9 9 9 9 9 9 8 7 5 4 5 6 8 9 9 10 11 10 9 8 8 9 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 7 7 8 8 8 8 8 9 nan
nan 11 11 10 9 8 7 6 5 5 5 6 6 7 7 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 8 8 9 9 10 10 9 8 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 11 11 10 10 10 9 9 9 9 10 11 10 9 9 9 9 9 9 9 9 9 9 9 8 7 6 4 4 4 6 8 9 9 9 9 9 8 8 8 9 10 10 10 10 10 10 11 10 10 10 10 10 9 9 9 8 8 9 9 9 8 8 8 8 8 8 8 8 8 nan
nan 11 10 9 8 8 7 6 5 6 6 6 6 7 8 8 8 9 9 9 8 8 8 7 6 5 5 5 6 7 7 8 9 9 9 10 9 7 6 7 7 7 7 6 6 6 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 7 6 5 4 4 5 6 7 8 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 nan
nan 9 8 8 7 7 7 6 6 7 7 7 8 8 9 9 9 9 9 9 8 8 8 7 6 5 4 5 7 8 9 10 10 10 10 10 8 7 6 6 6 5 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 6 6 6 7 7 7 8 9 9 9 9 9 8 7 7 7 7 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 10 10 11 10 10 9 9 9 9 9 9 10 10 10 10 9 10 10 9 9 9 9 8 8 8 7 6 6 5 5 6 6 7 6 6 6 6 7 8 9 9 10 10 10 10 9 9 9 10 10 10 10 11 10 10 10 10 10 9 9 9 9 9 10 10 9 8 8 8 8 8 nan
nan 8 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 8 8 8 7 6 6 6 7 8 10 10 11 11 11 11 10 9 8 7 6 5 5 4 4 5 5 6 7 7 7 7 7 8 8 8 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 9 9 9 10 9 8 8 7 7 7 6 6 6 6 7 7 8 9 9 10 10 10 9 8 7 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 7 7 7 7 6 6 6 6 6 6 5 6 7 8 9 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 nan
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nan 12 13 13 12 12 11 11 10 9 9 9 10 12 13 13 12 11 10 9 9 9 9 9 10 10 11 11 11 10 9 8 7 7 7 8 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 10 10 10 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 14 14 14 14 13 12 11 10 10 10 10 10 9 9 9 9 10 10 9 9 9 8 8 8 8 9 10 10 11 11 11 11 10 10 10 10 10 8 6 5 5 6 6 6 6 5 5 5 6 6 7 8 11 13 14 13 13 14 15 14 11 8 7 7 9 10 12 12 12 12 13 13 13 13 13 11 9 6 5 4 5 6 7 9 9 10 10 10 10 11 12 13 13 13 12 12 10 9 9 10 10 10 11 11 11 12 12 12 12 12 13 13 nan
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nan 13 12 11 10 9 8 7 6 6 6 8 10 12 13 13 12 11 10 9 8 7 7 9 10 12 13 13 12 10 8 7 6 6 7 8 9 10 10 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 13 13 14 14 15 15 15 15 15 15 15 16 15 14 13 11 10 9 9 8 8 8 8 9 8 8 7 6 6 6 6 7 8 9 9 9 9 8 7 8 8 9 10 10 10 10 10 11 11 11 9 6 5 5 6 7 8 7 7 6 6 6 7 7 8 10 12 14 16 18 17 14 12 10 9 9 10 11 13 13 14 13 12 12 13 14 14 13 12 12 13 13 13 11 10 9 8 8 8 8 8 8 9 10 10 10 10 11 10 10 10 10 11 12 12 12 13 13 13 12 12 12 12 12 12 nan
nan 12 11 10 8 7 6 5 5 5 6 8 10 11 12 12 12 11 10 8 7 6 7 9 11 13 14 13 11 9 8 6 6 6 7 8 10 10 10 9 9 9 9 10 11 11 11 12 12 11 10 10 9 10 10 10 10 11 12 12 13 13 14 15 16 16 16 16 16 17 17 17 16 14 12 10 8 7 8 8 8 8 9 9 10 9 9 8 7 6 6 6 6 8 9 10 10 9 8 7 7 8 9 10 10 10 10 10 11 11 10 7 5 4 5 6 7 8 8 7 6 6 6 7 7 8 10 12 15 17 18 16 14 12 12 11 11 11 12 12 13 13 12 12 13 14 15 14 12 12 13 16 17 17 16 14 11 8 7 6 5 5 6 7 9 9 10 10 10 10 10 10 10 11 12 13 13 13 13 12 12 11 11 11 11 11 nan
nan 11 10 8 7 5 5 5 5 5 7 9 10 11 11 11 11 10 9 8 7 7 8 10 12 13 14 12 10 8 7 6 6 6 7 9 10 10 10 9 9 9 10 10 11 11 12 12 11 11 10 10 10 10 10 11 11 12 13 13 14 15 16 17 18 18 18 18 18 18 17 15 13 11 9 8 7 7 8 8 8 9 9 9 10 10 9 8 8 8 7 7 7 7 8 9 10 10 9 8 7 8 9 10 11 10 10 10 10 10 9 7 5 5 6 7 8 9 8 7 7 6 7 7 8 9 10 12 15 17 17 15 13 13 12 12 11 11 11 11 12 12 11 12 13 14 14 12 11 12 14 16 18 19 19 18 16 13 10 8 7 7 7 8 9 10 10 10 10 10 10 10 10 11 13 14 14 13 13 12 11 11 11 11 11 11 nan
nan 9 8 6 5 4 4 5 5 6 7 9 10 11 11 10 10 9 8 7 7 8 9 11 13 14 14 11 9 8 6 6 6 7 8 10 10 10 10 9 9 10 10 11 11 12 12 12 11 11 10 10 10 11 11 12 13 14 15 16 16 17 18 19 20 20 20 19 18 16 14 11 9 8 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 8 9 10 10 9 9 8 8 9 10 10 10 10 10 10 10 9 8 8 8 8 8 8 8 8 8 7 6 7 7 8 9 10 11 13 14 14 13 13 13 12 12 11 11 11 11 12 11 11 11 12 12 12 11 11 12 14 15 17 19 21 21 20 18 15 13 12 11 11 11 10 10 10 10 10 9 9 10 11 12 14 14 14 13 12 11 11 10 10 10 10 10 nan
nan 7 6 4 4 4 4 5 6 6 7 9 10 10 10 9 9 7 6 6 7 8 10 12 14 14 13 10 8 7 6 6 7 8 9 10 10 10 10 9 10 10 11 11 12 12 12 11 11 11 11 11 12 12 13 14 15 16 18 19 20 21 21 22 21 20 19 17 14 11 9 7 6 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 8 8 9 9 9 8 8 8 9 10 10 10 10 10 11 11 11 10 10 9 9 8 8 8 9 8 8 7 7 7 8 9 10 10 11 11 11 12 12 12 12 11 11 11 11 13 13 12 11 11 11 11 11 11 11 13 14 16 17 18 18 19 19 18 16 15 14 13 12 11 10 10 9 9 10 10 11 11 12 13 14 15 14 13 12 11 10 9 9 8 8 9 nan
nan 5 4 3 4 4 5 6 6 7 9 10 10 9 9 9 8 7 6 6 8 9 12 14 14 13 11 9 7 6 5 6 7 8 9 10 10 10 10 10 10 11 11 12 12 12 11 11 11 11 12 12 13 14 15 17 18 19 20 21 22 22 22 21 19 17 15 12 9 7 6 5 6 7 8 9 10 10 9 9 9 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 11 11 11 11 11 11 11 10 9 8 8 8 8 9 9 8 7 7 7 8 9 9 9 9 9 10 12 13 13 12 11 10 11 12 13 13 12 11 11 10 11 11 11 12 13 14 15 15 14 14 14 13 13 13 13 12 11 10 10 9 9 9 10 11 12 13 14 14 14 14 14 14 13 12 10 9 8 7 6 6 7 nan
nan 4 3 3 4 5 6 7 7 8 9 10 9 9 9 9 9 8 8 8 10 12 13 14 14 12 10 7 6 5 5 6 8 9 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 12 13 14 16 17 19 20 20 20 20 20 20 19 18 16 14 12 9 8 7 6 6 7 8 9 9 10 10 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 12 12 12 11 11 11 12 11 10 8 8 8 8 8 8 9 8 8 8 8 9 9 8 8 7 8 11 14 16 15 13 12 12 12 12 11 11 10 10 10 10 10 11 11 12 12 12 12 11 11 10 10 10 9 9 9 10 9 9 9 9 9 10 11 12 13 14 15 15 15 15 15 15 13 11 9 8 6 5 4 5 9 nan
nan 4 3 4 5 5 6 6 7 8 9 9 9 9 9 9 8 8 10 11 13 14 16 15 13 11 9 6 5 5 6 7 8 9 10 10 10 10 11 11 11 12 12 12 12 11 11 12 12 13 15 17 19 20 20 20 18 17 16 15 14 13 12 10 9 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 12 12 12 12 12 12 12 12 12 10 8 8 7 6 6 7 9 9 10 10 10 10 9 8 7 6 8 13 16 17 16 13 12 13 12 10 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 9 9 8 6 6 7 8 8 8 8 9 10 11 12 13 14 15 15 16 16 17 17 17 14 11 8 6 4 4 6 9 14 nan
nan 4 4 4 5 5 6 6 7 7 8 8 9 9 8 8 8 8 10 12 14 16 17 15 13 10 8 6 5 5 6 8 9 9 10 10 10 10 11 11 12 12 12 12 12 12 12 13 15 17 19 20 20 19 18 16 14 13 11 10 9 8 7 6 7 7 8 8 9 9 9 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 10 11 11 11 12 12 12 13 13 13 13 13 11 10 9 8 7 6 6 7 9 10 11 11 11 10 8 7 6 7 10 13 16 15 12 10 10 10 9 8 8 9 9 8 9 9 10 11 11 11 11 10 10 9 9 9 8 7 5 5 6 7 7 8 8 10 11 13 13 14 14 14 15 17 18 19 19 17 14 10 6 5 5 7 11 15 18 nan
nan 4 4 4 5 6 6 7 7 8 8 8 8 8 8 7 7 8 10 12 14 16 17 15 12 10 8 6 5 6 7 8 9 9 10 10 10 10 11 11 12 12 13 13 13 13 14 16 18 20 20 19 17 15 13 12 11 10 9 8 7 7 7 7 8 9 9 9 9 9 9 10 10 9 9 8 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 11 11 11 12 12 12 13 14 14 14 14 13 12 12 11 11 11 11 10 10 10 9 9 10 11 11 9 8 7 7 9 11 13 13 11 8 7 6 6 6 8 10 11 10 9 9 10 11 11 11 11 11 10 9 9 9 9 8 6 5 5 6 6 7 8 10 11 13 13 14 13 13 15 18 21 22 20 17 13 10 7 6 6 9 12 16 18 20 nan
nan 4 4 5 6 7 8 9 9 8 8 8 8 7 7 7 7 8 9 11 13 15 16 15 12 10 8 6 6 6 7 8 9 9 9 9 10 10 11 12 12 13 14 14 15 16 17 19 20 19 17 15 13 12 11 10 10 9 9 8 8 8 9 9 10 10 9 9 8 8 8 9 9 10 9 8 7 7 7 8 8 9 9 9 9 10 10 9 8 8 8 8 8 8 8 8 9 10 10 11 11 11 12 13 14 15 15 14 13 12 12 12 13 13 14 14 14 13 12 9 8 9 9 9 8 8 8 9 11 12 12 11 9 6 5 4 4 7 12 14 14 12 12 12 12 12 11 11 11 11 10 9 10 10 10 9 5 4 4 5 6 8 10 12 13 13 14 13 13 15 18 22 25 24 18 13 9 6 6 8 11 14 18 20 22 22 nan
nan 4 4 5 7 9 10 10 10 9 8 8 7 7 7 7 7 8 10 12 14 15 16 15 12 10 7 7 7 7 7 8 8 9 9 9 10 10 11 12 13 14 15 17 17 19 19 19 18 15 13 11 11 11 10 10 9 9 8 9 9 10 10 10 10 10 10 9 8 8 8 8 9 9 9 8 7 7 8 8 9 9 9 9 9 10 9 9 8 8 7 7 7 7 7 6 7 8 9 10 10 10 11 12 14 15 15 14 12 11 12 13 14 14 14 14 14 13 11 9 8 9 8 6 6 7 10 11 13 13 13 12 10 8 6 5 6 11 16 16 15 14 14 14 14 13 12 12 11 10 9 9 9 9 8 6 2 2 3 6 9 11 12 13 13 13 13 13 15 18 21 22 22 18 13 8 6 7 9 12 16 19 23 26 27 25 nan
nan 4 5 7 9 10 11 11 10 9 8 7 7 7 7 7 8 8 10 12 14 15 15 15 12 9 8 7 7 7 7 7 8 8 9 10 10 11 12 14 15 16 18 19 20 20 19 16 14 12 10 10 10 10 9 8 8 8 8 8 9 10 10 10 11 11 10 10 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 6 5 5 6 7 8 8 8 9 10 12 13 14 14 13 12 11 11 12 13 13 13 13 13 13 11 9 9 8 6 4 4 7 11 13 13 13 12 12 11 10 9 8 10 15 16 16 15 14 14 14 13 13 12 11 10 9 8 6 5 4 2 -1 -1 1 5 9 12 13 13 13 13 13 14 16 18 20 20 18 14 9 6 5 7 11 14 18 21 25 28 29 28 25 nan
nan 6 7 9 11 11 12 11 10 9 8 7 7 7 7 7 8 9 11 12 14 15 16 15 13 10 8 8 8 8 7 7 8 8 9 10 11 12 14 15 16 18 20 20 20 18 15 13 11 10 10 10 9 8 8 7 7 7 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 7 6 6 5 5 5 6 7 8 8 8 9 10 11 12 12 12 12 11 10 10 10 11 11 12 12 12 12 11 10 9 7 4 4 6 10 12 13 13 13 12 12 11 10 10 11 13 15 15 14 15 15 14 13 12 11 11 10 9 6 4 2 -0 -1 -1 -0 2 5 10 13 14 14 14 14 15 16 19 21 23 22 19 14 9 6 6 8 12 17 20 23 27 29 30 29 25 20 nan
nan 8 9 11 12 12 12 12 11 10 9 8 7 7 7 8 8 9 11 12 14 15 17 16 14 11 10 9 8 8 7 7 7 8 9 10 11 13 15 17 18 20 20 19 17 14 12 11 11 10 10 9 8 7 7 7 7 7 8 8 9 9 10 10 9 9 8 8 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 6 5 5 5 5 7 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 11 11 11 10 8 6 4 6 10 12 13 13 13 13 13 12 11 11 12 13 14 14 14 15 17 18 16 14 12 10 9 7 4 2 -1 -2 -1 1 4 8 11 13 15 15 15 15 16 17 19 22 24 26 25 23 20 15 11 10 11 14 18 22 25 27 29 29 27 24 19 15 nan
nan 10 10 11 12 13 13 13 12 11 10 9 8 7 7 8 9 9 11 12 13 15 17 17 16 13 12 10 9 8 6 6 6 7 8 9 11 14 16 18 19 19 18 15 12 11 10 10 10 10 9 8 8 7 7 7 7 8 8 9 9 10 10 9 9 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 7 6 6 6 6 7 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 10 8 5 6 10 13 14 15 16 16 15 13 12 11 12 13 14 14 13 13 16 19 20 18 15 11 7 3 1 -0 -1 -1 1 4 9 14 16 18 17 16 16 18 20 21 23 24 25 25 25 23 21 18 15 13 13 14 18 22 25 27 28 27 24 21 17 14 13 nan
nan 11 11 11 12 13 13 13 13 12 11 10 9 8 7 8 9 10 11 11 12 13 15 17 17 16 14 12 9 7 5 4 4 6 7 9 12 15 17 18 19 17 14 12 10 9 10 10 9 8 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 7 7 7 7 7 7 8 8 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 10 8 8 10 12 14 15 17 18 17 15 12 12 13 14 15 15 14 13 13 15 18 18 17 14 8 3 1 1 2 4 7 10 14 19 21 21 20 19 20 21 23 24 25 24 24 23 21 19 17 14 12 10 10 12 15 19 23 25 26 25 22 18 15 13 12 12 nan
nan 10 10 10 11 12 13 13 13 13 12 11 10 9 8 8 9 10 10 11 11 12 13 15 17 17 16 14 10 7 5 3 3 5 7 9 13 16 18 19 18 15 12 10 10 9 10 9 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 7 7 7 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 11 12 12 13 14 16 16 14 12 11 13 16 18 17 15 14 13 14 16 18 19 18 14 8 6 6 9 12 14 16 19 22 24 24 21 19 20 21 23 22 21 21 19 18 15 13 12 11 10 8 8 10 14 17 20 22 23 23 20 17 15 13 12 12 11 nan
nan 9 9 9 10 11 12 12 12 12 11 11 10 9 9 9 10 10 10 10 10 10 11 12 14 16 17 15 12 8 6 5 4 6 8 11 14 17 18 18 16 13 11 10 10 10 9 8 8 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 9 7 5 6 7 8 8 8 8 8 9 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 10 11 11 11 11 12 13 12 11 10 12 17 19 19 18 15 15 16 17 20 22 22 22 18 14 13 14 17 19 20 21 22 23 22 19 16 14 15 16 16 15 14 14 13 12 10 10 11 12 12 12 12 14 16 18 19 19 19 18 16 14 13 12 12 11 11 nan
nan 9 9 10 10 11 11 11 11 11 11 10 10 10 10 9 9 10 10 10 10 9 9 10 12 14 15 15 13 11 10 9 9 10 12 14 16 17 17 16 14 11 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 8 8 8 8 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 10 9 7 5 5 6 7 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 11 11 11 10 10 10 10 11 11 10 10 11 11 11 11 11 11 14 17 18 18 16 15 16 18 20 21 22 22 20 18 17 17 17 18 19 20 20 19 17 14 10 9 9 11 12 13 12 12 13 13 13 13 14 15 16 16 16 16 17 17 16 16 16 16 15 14 13 13 12 12 12 12 nan
nan 10 10 11 11 11 11 11 11 11 10 10 10 9 9 9 8 9 9 10 9 9 9 10 12 13 14 15 14 14 14 14 14 16 17 17 17 17 15 13 12 11 10 10 9 9 8 8 9 9 8 8 8 8 8 9 9 9 10 10 10 9 9 8 8 8 9 10 10 11 10 10 11 11 11 10 10 10 10 10 10 10 9 9 7 6 7 8 9 8 7 5 5 6 7 8 8 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 14 15 15 14 13 13 14 16 17 18 17 16 14 14 14 14 14 15 15 15 14 13 11 10 10 10 13 15 16 17 17 18 18 17 17 18 18 18 17 16 15 15 15 15 14 14 14 14 13 13 13 13 13 13 13 14 nan
nan 11 11 11 11 11 10 10 11 11 10 10 9 8 8 7 7 8 9 9 9 10 10 12 13 14 14 14 14 15 16 17 18 18 18 17 16 15 13 12 11 11 11 10 10 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 8 9 9 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 9 8 7 6 6 7 7 7 7 6 6 7 8 8 8 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 11 11 12 13 13 13 12 12 12 13 13 13 13 12 12 11 11 11 11 12 13 13 13 12 10 11 12 14 17 18 19 19 19 19 19 19 19 18 18 17 16 14 14 14 13 13 13 13 13 13 13 13 12 12 12 12 13 13 14 nan
nan 12 12 12 11 11 11 11 11 11 10 9 8 8 7 7 7 8 9 10 10 11 12 14 15 14 14 13 13 14 16 17 17 17 16 15 14 12 11 11 11 11 11 11 11 10 9 9 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 9 9 9 9 10 11 11 10 10 9 10 9 9 9 9 8 7 7 7 7 8 7 7 7 7 8 8 8 8 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 6 6 5 6 7 9 10 11 12 12 12 12 12 12 12 12 11 11 11 11 10 9 8 9 10 12 13 14 13 12 12 12 13 15 16 17 17 17 16 15 15 15 15 15 15 14 14 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 nan
nan 12 12 12 12 11 11 11 11 11 10 9 8 8 7 7 8 9 10 10 12 13 14 15 15 14 13 13 13 14 15 16 15 15 14 13 11 10 10 11 11 11 11 11 10 10 9 9 9 9 8 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 8 6 3 2 0 0 2 5 7 9 10 10 11 11 12 12 11 11 11 11 11 11 9 7 5 6 9 12 15 16 15 14 13 12 12 12 12 13 13 13 13 13 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 13 12 12 12 11 11 11 11 11 9 nan
nan 11 12 12 12 12 12 12 11 11 10 9 8 8 8 8 9 10 11 12 13 14 15 15 14 13 12 12 12 13 14 14 14 13 12 11 10 10 10 10 10 11 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 9 9 9 9 10 10 10 10 9 9 9 10 11 12 12 12 11 10 10 9 9 8 8 8 8 8 10 11 12 11 10 9 8 8 7 7 7 8 8 9 9 10 10 11 11 11 12 11 11 11 10 10 9 9 9 9 8 7 5 1 -2 -3 -2 -0 4 7 9 9 9 9 9 10 10 9 8 8 9 10 10 9 6 3 3 6 12 17 18 17 15 14 12 12 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 nan
nan 11 12 12 12 12 12 12 11 11 10 9 9 8 9 9 10 11 11 12 14 15 15 15 13 12 12 11 12 13 13 14 14 13 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 9 10 11 12 13 13 13 13 12 11 9 7 6 6 6 7 9 12 13 13 11 9 8 7 7 7 7 6 6 6 7 8 9 10 11 11 12 12 11 11 11 10 9 8 8 7 5 3 -0 -3 -5 -3 1 5 10 11 12 12 11 10 10 9 8 6 5 6 8 9 8 6 2 1 5 12 19 23 21 17 14 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 nan
nan 12 12 11 11 12 12 12 12 11 11 10 10 9 9 10 10 11 12 13 14 15 15 14 13 12 11 11 11 12 13 13 14 14 12 11 11 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 10 11 11 11 11 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 12 13 14 15 15 14 11 8 6 5 4 4 6 9 10 11 9 8 7 8 9 9 9 7 4 3 4 5 6 8 10 11 11 11 11 11 11 10 9 7 5 3 0 -2 -4 -5 -3 2 7 11 12 13 13 13 14 13 12 11 10 8 8 9 10 10 8 5 3 6 14 22 28 27 20 15 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 nan
nan 11 11 11 10 10 11 11 11 11 11 11 11 11 10 10 11 11 12 13 15 15 14 13 12 11 11 11 11 11 12 13 13 13 12 12 11 11 10 10 10 9 9 9 9 8 8 8 8 8 9 10 10 11 12 12 12 12 12 13 13 13 12 12 11 11 11 11 11 11 10 10 11 11 12 13 15 16 17 17 14 12 10 9 7 5 5 6 6 6 6 6 7 10 12 12 12 10 7 5 4 4 5 6 7 9 10 10 11 11 11 10 8 6 3 1 -1 -3 -2 -0 4 8 11 12 12 12 12 12 13 14 14 13 13 13 14 15 15 13 11 8 10 16 24 30 30 24 18 14 12 11 12 12 12 12 11 11 11 10 11 11 11 11 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 nan
nan 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 14 15 14 14 13 12 11 10 10 11 11 11 12 12 12 12 12 12 11 11 10 9 9 9 9 9 8 8 8 8 8 9 10 11 11 12 12 12 13 13 14 14 14 14 13 13 13 12 12 12 12 11 11 11 11 11 12 13 14 15 16 16 15 15 14 13 11 9 7 6 6 7 8 10 13 14 15 15 14 12 11 10 8 7 8 8 8 8 9 10 11 11 11 10 9 7 4 3 3 4 6 9 11 11 11 11 11 11 11 12 13 14 14 15 15 16 16 15 14 13 12 15 21 26 28 25 19 15 12 11 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 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
674 620 531 418 301 214 170 170 206 260 303 325 356 387 393 387 380 364 343 328 309 306 324 364 425 509 590 622 585 565 596 660 735 825 901 944 937 897 863 880 976 956 899 826 754 689 634 584 555 525 521 522 539 567 573 579 578 571 552 514 463 405 325 262 212 166 123 79 35 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
659 566 465 356 258 204 189 216 275 340 380 384 383 373 345 314 297 288 280 286 286 280 279 286 307 361 419 439 419 396 390 401 431 490 578 666 738 774 778 776 786 804 807 781 745 711 679 626 570 530 516 517 534 558 570 570 569 555 535 503 458 398 316 265 214 161 107 55 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
594 502 420 336 269 237 243 286 352 414 442 419 367 320 274 240 229 235 235 244 255 255 247 236 233 254 274 275 269 256 243 236 237 249 293 355 422 464 471 471 510 556 584 591 592 585 569 558 512 487 482 485 495 510 524 533 543 532 507 459 400 348 291 248 200 140 75 23 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
552 479 422 369 329 309 315 350 397 437 444 406 333 271 223 193 178 174 178 190 196 198 192 183 178 186 191 187 182 176 168 162 156 152 160 180 208 238 263 280 301 325 338 344 351 346 333 349 351 359 366 376 389 402 413 440 466 460 433 382 322 270 221 175 129 78 31 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
543 487 447 416 392 376 381 403 422 423 401 356 287 230 185 150 130 122 125 133 129 127 126 127 131 137 140 141 140 140 140 134 122 114 101 100 108 127 154 180 199 204 197 193 199 209 212 217 238 250 259 268 280 292 302 333 353 350 328 287 231 170 115 74 42 19 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
544 501 474 458 448 446 444 440 418 376 326 284 233 180 137 108 93 87 87 88 82 76 80 85 89 94 100 105 110 110 112 106 90 80 62 50 48 57 71 91 121 146 138 135 142 155 173 190 208 221 223 219 214 210 213 232 236 229 210 180 140 94 45 17 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
543 512 496 490 489 489 471 436 379 306 240 201 169 132 101 84 75 71 69 67 65 62 64 64 62 61 62 64 65 61 58 52 42 35 26 17 14 16 19 24 40 85 83 91 101 112 127 148 170 176 172 161 145 123 103 105 104 97 83 64 44 27 9 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
539 521 514 515 516 509 469 399 317 235 171 135 117 100 79 71 66 62 59 58 58 56 52 45 37 31 28 26 22 18 15 11 7 6 5 3 2 2 2 1 3 23 24 35 45 51 55 66 90 95 91 84 71 49 29 18 17 16 13 9 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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