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 7 8 8 8 9 9 9 8 8 7 8 8 8 8 7 7 7 7 7 7 7 8 7 7 7 7 7 6 6 7 7 7 7 7 7 8 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 8 7 7 7 6 5 2 -0 -2 -1 1 3 3 4 4 4 5 6 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 6 7 8 8 8 8 8 8 7 7 7 6 6 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 6 6 6 6 7 7 7 6 6 6 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 6 5 3 1 -1 -1 -0 1 2 3 3 4 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 7 7 7 7 7 7 7 7 7 7 7 nan
nan 6 6 7 8 8 8 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 6 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 6 4 3 1 0 -0 0 1 2 2 3 3 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 6 7 8 8 6 5 5 5 6 6 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 8 8 8 7 7 7 7 6 6 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 8 7 7 6 6 6 7 7 7 7 8 7 7 6 6 5 4 2 1 0 0 1 1 2 2 3 3 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 nan
nan 7 6 7 7 7 5 5 5 5 6 7 8 8 8 8 8 7 7 7 8 8 8 7 7 7 8 8 8 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 7 6 6 6 7 7 7 7 8 8 7 7 7 6 5 4 2 1 0 0 1 1 1 2 2 3 3 4 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 nan
nan 6 6 6 6 6 6 5 6 6 7 7 7 7 7 8 8 7 7 7 8 8 8 8 9 9 8 8 9 9 10 10 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 7 7 6 6 6 6 6 5 5 6 6 7 7 7 7 7 7 7 8 8 7 7 6 7 7 7 7 7 7 8 8 8 7 7 7 5 4 3 2 1 1 2 2 1 1 2 2 3 4 4 4 4 4 4 5 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 7 6 6 7 7 6 6 7 7 7 7 6 6 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 6 6 5 4 4 3 3 3 2 1 1 2 2 2 3 3 3 3 3 4 4 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 7 7 7 7 7 7 8 8 8 7 6 6 6 7 7 7 7 7 7 8 8 8 8 9 8 8 7 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 7 7 7 8 8 7 7 7 7 6 6 6 6 6 6 5 3 2 2 2 1 2 2 2 2 2 2 2 3 4 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 7 6 6 6 7 8 8 9 8 7 6 7 7 7 7 7 8 8 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 4 3 3 2 1 1 1 1 1 1 1 2 3 4 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 8 6 5 5 5 7 8 9 8 7 6 7 7 7 7 7 8 8 8 7 7 7 6 6 5 4 5 5 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 7 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 7 6 6 7 7 7 7 7 7 8 7 7 8 8 8 8 8 7 6 6 5 3 2 1 1 0 0 0 1 2 3 4 4 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 6 6 4 4 6 7 9 8 7 6 6 7 6 6 7 7 8 8 7 6 7 7 6 6 5 5 5 6 7 7 7 7 6 6 6 6 6 6 6 6 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 7 6 6 7 8 8 8 8 8 8 8 8 8 7 8 8 6 5 3 2 2 1 0 0 0 1 2 3 4 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 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 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 nan
nan 6 6 5 5 6 8 8 7 6 6 7 7 7 7 7 8 8 8 7 6 7 7 7 6 6 6 7 7 7 7 7 6 6 6 6 7 7 7 6 6 7 7 7 6 6 6 7 7 8 7 6 7 7 7 7 7 7 7 8 8 9 9 9 9 8 8 9 9 9 8 8 7 7 7 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 7 7 8 9 8 7 6 5 4 2 1 1 1 1 2 3 4 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 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 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 nan
nan 6 6 6 6 7 8 8 7 7 7 7 8 8 8 8 9 9 8 7 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 6 6 7 7 6 6 6 7 7 8 7 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 6 7 7 6 6 6 7 8 8 8 8 8 8 8 7 8 8 9 8 8 8 7 6 5 3 2 1 1 2 3 4 5 5 6 6 6 6 6 6 5 5 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 6 6 7 7 nan
nan 6 5 6 8 8 8 8 7 7 6 7 9 8 9 10 10 9 7 6 6 7 7 8 8 8 7 7 7 7 7 7 6 6 7 7 8 7 7 7 7 6 6 6 6 6 6 7 7 7 7 6 6 7 7 8 8 8 8 8 9 9 9 9 9 8 9 9 9 9 9 9 9 8 8 7 7 7 7 6 6 6 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 5 4 2 2 2 3 4 5 5 6 6 6 6 6 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 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 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 nan
nan 5 4 6 8 9 9 8 7 7 6 8 9 9 10 10 10 7 5 5 6 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 8 9 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 6 5 5 6 7 8 8 7 6 7 7 7 8 8 8 8 8 8 8 8 8 7 6 4 3 3 3 3 4 5 6 7 7 7 6 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 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 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 nan
nan 4 4 6 8 9 8 7 7 7 7 9 9 10 10 10 7 4 4 5 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 7 8 8 8 8 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 4 4 4 4 4 5 5 6 7 7 7 6 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 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 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 nan
nan 3 4 6 7 7 7 6 7 7 7 8 9 10 10 8 5 3 5 6 7 7 7 7 7 7 7 7 8 8 8 8 8 7 6 6 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 8 8 9 8 8 8 9 9 9 9 9 9 9 9 9 9 10 9 9 8 7 6 5 5 4 5 6 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 6 5 4 4 5 5 5 5 6 7 8 8 8 7 6 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 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 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 nan
nan 3 4 5 6 7 7 7 7 7 7 8 8 9 9 7 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 7 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 5 4 4 5 6 7 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 6 5 5 6 6 6 6 7 8 9 9 8 7 6 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 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 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 nan
nan 3 3 5 7 7 7 7 7 7 7 9 9 10 10 8 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 7 8 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 5 4 3 3 4 6 7 9 9 9 9 9 8 7 7 6 7 7 6 6 6 7 7 7 7 6 7 7 7 7 7 9 10 10 9 8 6 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 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 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 nan
nan 3 4 6 7 7 6 6 7 7 9 11 11 11 10 8 6 5 6 7 7 7 7 7 7 7 7 8 8 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 6 6 7 8 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 9 9 9 8 7 5 3 3 4 5 6 8 9 10 9 9 8 7 7 7 7 7 7 6 7 7 7 7 6 6 7 7 7 7 8 10 12 12 11 10 8 6 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 7 7 7 7 7 8 8 8 8 nan
nan 4 5 6 6 5 5 6 7 9 11 12 11 10 9 6 4 4 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 6 7 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 8 7 6 5 4 4 4 5 7 8 9 9 8 8 8 7 7 8 7 7 7 7 7 8 8 7 5 6 6 6 7 8 10 12 14 13 11 8 6 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 7 7 7 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 7 7 7 8 8 8 8 7 7 nan
nan 6 6 6 6 5 6 7 8 10 11 10 9 8 7 5 4 5 7 7 8 7 7 7 7 7 7 7 8 8 9 9 10 10 10 9 9 8 7 7 8 8 9 9 8 7 7 7 7 7 7 7 8 9 10 10 10 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 8 7 5 4 4 4 5 6 8 9 9 9 9 8 8 7 8 8 7 7 7 8 8 8 7 6 5 6 6 7 7 8 10 11 12 11 9 6 4 5 6 7 7 7 7 7 6 6 7 7 7 7 7 8 8 8 8 7 7 7 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 7 7 7 7 8 8 8 8 7 7 7 nan
nan 7 7 7 7 6 7 7 8 9 9 8 8 8 8 5 4 5 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 10 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 6 5 4 4 4 6 7 8 9 10 9 9 9 8 8 8 8 7 7 8 8 8 8 7 6 6 6 7 7 8 9 9 9 9 8 6 4 5 6 7 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 6 6 5 6 6 6 7 7 7 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 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 nan
nan 7 9 9 8 7 6 6 7 8 9 10 10 9 7 4 4 5 7 8 8 8 8 8 8 8 7 8 8 9 9 9 9 8 8 7 7 8 8 7 6 5 5 5 6 6 6 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 10 10 10 9 8 7 6 4 4 4 4 6 7 8 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 7 6 6 7 8 8 8 8 8 8 8 7 6 6 7 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 8 8 7 6 6 5 5 5 6 6 7 7 7 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 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 nan
nan 7 9 9 7 6 5 7 8 9 10 11 9 7 4 3 3 5 7 8 9 9 8 8 8 8 8 9 9 9 8 7 7 7 6 6 6 6 7 7 6 5 5 5 5 6 6 7 7 8 9 10 10 11 10 10 10 10 10 11 11 11 10 9 8 8 9 9 10 10 9 8 7 6 5 4 4 4 5 6 7 7 8 8 8 8 8 9 9 8 8 8 7 8 8 8 7 6 6 6 7 7 7 8 8 8 8 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 5 5 5 5 6 6 7 7 7 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 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 nan
nan 8 9 9 6 5 6 8 9 10 10 9 6 3 2 2 4 6 8 9 9 8 8 9 9 9 10 11 10 9 7 6 6 6 6 6 6 6 6 6 7 6 6 5 5 5 6 6 7 8 9 11 11 11 10 10 10 10 11 12 12 12 11 10 10 9 10 10 10 10 9 8 6 5 4 4 4 4 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 7 7 7 8 8 7 7 7 7 8 9 8 8 8 9 9 9 8 8 9 9 10 10 10 9 8 7 6 5 4 4 5 5 6 7 7 8 8 8 8 8 8 8 7 7 8 8 7 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 7 7 7 8 8 8 8 8 8 8 8 nan
nan 8 8 7 6 6 7 9 9 9 8 6 4 2 3 4 6 7 8 9 9 8 8 9 10 10 10 10 9 8 8 7 7 6 7 7 6 6 6 7 7 7 7 6 5 6 6 7 7 8 10 11 12 11 10 10 9 10 11 13 13 13 12 12 11 10 10 10 11 10 9 7 5 4 3 3 4 5 6 7 7 7 8 8 8 8 8 7 7 8 8 9 9 8 7 6 6 6 6 7 7 7 7 7 8 8 7 6 7 7 8 8 8 8 8 9 9 9 9 10 11 11 12 11 10 9 7 5 5 4 4 4 5 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 nan
nan 8 7 7 7 7 8 10 10 9 8 6 4 4 5 6 7 8 8 9 8 8 9 10 10 10 9 9 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 6 6 6 6 7 8 9 11 11 11 11 10 9 9 10 11 13 14 14 13 12 11 10 10 11 11 10 8 6 4 3 3 4 4 5 6 7 7 7 7 8 8 8 7 6 6 7 8 9 9 8 7 6 6 7 7 7 7 7 8 8 8 7 6 6 6 6 6 7 7 7 7 8 9 10 11 12 14 15 14 13 10 7 5 4 4 4 4 5 6 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 9 8 9 9 9 10 11 11 10 8 6 6 6 7 8 8 8 8 9 9 9 10 10 10 9 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 7 7 7 6 6 7 7 8 10 11 11 11 10 9 9 9 10 11 12 13 13 13 13 11 10 10 10 10 10 8 6 4 3 3 4 5 6 7 7 7 7 7 8 8 7 6 6 6 7 8 8 8 8 7 7 8 8 8 7 7 8 8 8 7 6 5 5 5 6 6 6 6 6 7 8 9 10 11 13 15 15 14 11 7 4 3 3 4 5 6 7 8 8 9 8 8 8 7 7 7 6 6 6 6 6 7 7 7 7 7 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 8 8 8 9 9 9 nan
nan 9 9 10 9 10 11 11 10 8 7 6 6 7 7 8 9 9 9 9 9 10 11 10 9 8 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 9 11 11 10 9 8 8 9 9 10 11 11 12 12 12 11 11 10 10 10 10 9 6 5 4 4 5 6 7 7 7 7 7 8 8 8 7 6 6 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 6 5 5 5 6 6 6 6 6 7 8 9 9 9 10 11 11 11 9 4 1 1 2 3 5 6 7 8 9 9 9 8 8 7 7 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 nan
nan 7 7 8 8 8 9 8 8 6 5 5 6 7 8 9 10 11 11 10 10 10 10 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 7 8 10 10 10 9 9 9 9 10 10 10 10 10 11 12 12 12 12 10 10 9 8 6 5 5 5 6 7 8 8 8 8 8 8 8 7 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 6 5 6 6 6 6 6 6 7 8 9 9 8 8 8 8 8 7 3 -1 -3 0 3 5 7 8 9 10 10 9 9 8 7 7 6 6 5 5 5 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 nan
nan 4 5 5 6 7 7 7 6 5 5 6 7 8 9 10 11 12 11 9 9 9 7 6 6 6 6 7 7 7 7 7 8 8 8 9 9 9 9 8 7 7 7 6 6 6 6 6 6 7 8 9 10 10 10 10 10 10 10 9 9 9 10 11 12 13 13 11 9 7 5 4 4 5 7 8 8 8 8 8 8 8 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 7 6 6 6 7 7 7 7 7 8 8 8 8 7 7 8 8 7 5 1 -2 -0 4 7 9 10 10 10 10 10 9 8 7 7 6 5 5 5 5 5 6 6 7 7 7 8 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 9 9 9 9 9 9 9 nan
nan 5 5 6 7 7 7 7 7 7 7 8 8 9 10 11 12 12 10 8 7 7 6 6 6 6 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 8 7 6 6 6 6 6 6 6 7 8 9 10 10 11 11 11 10 9 9 9 9 10 11 12 12 9 6 4 2 2 4 6 8 10 10 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 6 4 1 1 5 9 11 12 11 11 10 10 9 8 7 7 6 5 5 5 5 5 5 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 nan
nan 9 9 10 10 10 9 9 8 8 7 8 9 10 11 12 12 11 9 7 7 6 6 7 7 8 8 7 7 7 7 7 7 8 8 8 8 8 9 10 10 9 8 7 7 7 7 6 6 6 6 7 8 9 10 11 11 11 10 10 9 9 9 9 10 10 9 6 3 1 1 3 6 9 10 11 11 10 9 8 7 7 7 8 8 8 7 7 7 8 9 9 9 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 7 7 7 8 8 7 6 4 5 8 13 16 15 13 12 11 10 9 8 7 6 6 5 5 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 nan
nan 11 12 12 12 11 10 9 8 6 6 7 9 11 12 12 11 10 8 7 6 6 7 8 8 8 7 6 6 6 6 6 7 7 7 7 8 8 9 10 10 10 9 8 8 8 8 7 6 6 6 7 8 8 9 10 10 10 10 10 10 10 10 10 9 8 7 5 3 2 4 6 9 11 12 11 10 10 9 9 9 8 8 8 8 7 6 6 7 8 9 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 8 10 14 17 17 15 14 13 12 10 8 7 6 5 5 4 4 5 5 5 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 10 11 12 12 11 10 9 7 4 4 6 10 11 11 10 9 8 7 6 6 7 8 8 8 8 7 8 8 7 7 7 7 7 7 7 7 8 8 9 10 10 9 9 8 9 8 8 7 7 6 6 7 7 8 8 9 9 9 10 10 11 11 10 9 8 6 5 4 5 8 10 11 12 11 10 9 9 10 10 9 9 8 8 8 7 7 7 7 8 7 7 7 7 6 6 7 8 8 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 11 13 14 13 12 12 12 10 8 6 5 4 4 4 4 5 5 5 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 9 10 10 10 10 10 9 7 3 2 6 9 10 10 8 7 6 5 5 6 7 8 8 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 8 9 10 10 9 9 9 9 8 8 7 6 6 6 6 7 7 7 8 8 9 10 10 9 9 8 7 6 5 6 8 10 11 11 10 9 8 9 10 10 10 10 9 9 9 8 8 8 8 8 6 5 5 5 5 5 6 7 8 8 9 9 8 8 8 8 8 8 8 7 7 8 7 8 8 8 8 8 8 9 9 8 9 9 9 9 8 9 9 9 7 5 3 3 4 4 4 5 5 5 5 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 9 9 9 8 8 8 8 5 2 2 5 8 9 9 8 7 6 5 5 6 7 8 8 9 9 10 10 9 8 8 8 8 7 7 7 6 6 6 7 7 8 9 9 9 9 9 8 8 7 7 6 6 7 7 7 6 6 7 8 8 8 8 7 6 6 6 6 7 9 10 10 9 8 7 8 9 10 10 11 11 10 10 9 9 9 9 9 8 6 5 5 5 4 4 5 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 9 8 9 9 10 10 9 8 8 7 6 5 5 4 3 2 0 0 3 4 5 5 6 6 6 5 5 5 6 6 6 6 7 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 8 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 10 8 7 6 5 6 6 4 3 5 7 9 10 9 8 7 6 6 7 7 8 9 9 9 10 10 10 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 7 7 7 7 8 7 7 6 6 6 7 7 7 6 6 5 6 6 6 7 9 9 9 8 8 7 8 10 10 11 11 12 11 11 10 10 10 10 9 8 7 7 6 6 5 5 6 6 6 7 7 7 7 8 9 10 9 8 8 9 9 8 8 9 9 9 9 10 11 11 10 9 8 7 6 5 2 -0 -1 -2 -3 -4 -1 3 5 6 6 6 5 5 5 5 5 6 6 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 nan
nan 11 8 5 3 3 4 6 7 7 8 10 10 11 10 8 8 7 7 8 9 9 9 10 11 11 10 9 7 6 6 7 7 7 7 7 7 8 9 8 7 6 7 8 8 8 8 8 8 7 7 8 8 8 8 8 7 6 6 6 6 6 6 5 5 5 5 5 5 6 7 7 8 8 8 8 9 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 8 9 9 8 8 9 9 9 9 9 9 8 9 9 11 11 10 9 8 7 7 6 4 1 -1 -1 -1 -2 -1 3 5 6 6 6 5 5 5 5 5 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 nan
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nan 8 8 8 8 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 9 9 9 9 8 7 7 7 8 8 9 8 7 5 5 5 6 6 7 7 8 8 8 8 7 7 7 7 8 8 7 7 7 8 9 11 12 12 11 11 11 10 10 10 10 9 9 9 8 7 6 6 9 11 12 12 12 12 13 14 14 13 12 12 12 11 10 10 11 12 13 13 12 11 10 11 14 18 21 22 22 22 22 22 23 23 23 23 21 19 15 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 nan
nan 8 8 9 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 8 9 10 10 10 10 10 9 9 9 8 7 7 7 8 8 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 8 7 7 8 8 9 9 8 7 7 7 7 7 6 6 6 6 6 6 5 5 6 7 7 7 6 5 5 6 8 10 12 13 12 11 10 10 9 9 9 9 9 9 8 8 6 6 7 10 12 12 11 10 11 11 12 12 12 13 14 14 13 12 12 12 12 11 10 9 9 10 11 13 15 16 15 14 12 12 13 16 19 21 22 21 17 13 12 12 14 14 13 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 8 9 10 11 11 10 9 9 8 8 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 10 10 9 9 8 7 7 7 8 9 9 9 9 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 9 9 9 9 8 8 9 8 8 7 6 5 5 5 6 8 9 11 11 9 7 6 6 8 10 11 12 11 11 10 10 10 9 9 10 10 10 10 9 8 7 8 10 12 13 11 10 10 10 10 10 10 11 12 13 14 13 13 13 12 11 9 8 9 9 10 10 11 10 10 8 7 5 3 3 3 5 7 9 8 5 5 10 16 18 16 13 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 nan
nan 8 9 10 10 9 8 7 7 8 9 9 9 10 10 10 9 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 10 9 9 9 9 9 8 8 7 7 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 8 9 10 9 9 9 9 10 10 10 9 9 7 7 7 9 12 13 13 12 10 9 9 11 12 13 12 11 10 10 10 10 10 10 10 10 11 11 10 10 9 10 11 13 14 13 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 10 11 11 10 10 9 9 9 9 8 5 2 0 -1 -2 -4 -3 2 9 15 15 12 11 11 12 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 13 13 nan
nan 9 9 9 8 7 6 6 7 8 9 10 10 10 10 10 9 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 7 7 8 9 10 11 10 9 10 10 10 10 11 11 10 9 9 10 11 12 13 12 11 11 12 13 15 15 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 13 12 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 13 14 16 16 16 14 11 8 6 4 7 11 15 15 12 11 13 14 15 15 15 14 14 14 14 14 14 15 16 17 16 15 15 15 15 14 14 14 13 nan
nan 9 9 7 6 6 6 7 8 9 10 10 10 10 10 9 9 9 9 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 10 9 9 8 7 7 8 9 9 9 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 7 6 7 7 7 8 10 11 10 9 9 10 10 9 10 10 9 8 8 9 10 12 12 12 11 11 12 14 15 15 13 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 13 12 11 10 10 9 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 10 11 12 13 14 16 18 20 22 22 22 21 22 25 27 28 25 21 21 22 22 22 20 19 17 16 15 15 16 19 23 24 22 19 16 15 15 14 14 14 13 13 nan
nan 8 7 7 7 7 8 8 8 9 10 10 10 10 10 9 9 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 7 7 7 8 9 9 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 9 8 7 5 4 3 2 3 4 5 7 7 8 8 8 9 10 9 9 9 8 7 7 8 10 12 13 13 12 11 12 12 13 13 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 10 11 11 11 12 12 14 16 19 21 23 24 27 29 31 30 28 28 28 28 28 28 28 25 22 21 20 20 21 24 26 25 21 18 15 14 14 14 13 13 13 13 nan
nan 7 7 8 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 7 6 4 2 0 -1 -1 0 0 1 1 2 2 3 4 7 9 10 10 10 9 8 7 8 10 12 13 14 13 12 11 11 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 11 12 13 15 17 18 19 20 20 19 20 21 22 24 25 27 27 26 26 26 27 26 25 24 21 18 16 15 16 16 15 15 14 13 12 12 nan
nan 7 8 9 10 10 10 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 8 8 9 9 8 8 7 7 8 9 9 9 8 8 7 8 8 9 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 8 6 3 2 1 0 1 1 2 3 3 2 1 -0 -0 1 3 5 7 7 7 7 7 7 7 9 11 12 13 13 12 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 8 7 7 7 6 6 6 7 8 9 9 9 10 10 10 10 10 9 10 10 10 10 10 10 11 11 11 11 10 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 13 14 15 17 18 19 20 23 26 28 27 25 22 19 17 17 20 22 22 20 17 14 12 10 10 nan
nan 9 9 10 10 10 10 10 9 9 9 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 8 7 6 6 7 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 11 11 10 9 6 4 2 2 3 4 5 7 7 8 7 7 6 5 4 3 3 3 2 1 1 2 4 5 7 9 10 11 10 9 9 8 9 9 10 10 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 8 7 6 5 5 4 4 3 5 7 9 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 12 14 17 19 21 21 22 23 22 20 19 19 18 17 15 12 9 8 7 7 nan
nan 9 9 9 9 9 9 9 9 9 8 9 9 8 8 8 8 8 8 9 9 10 10 10 9 7 6 6 6 6 6 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 11 11 11 9 8 6 5 5 7 8 9 10 11 11 11 11 10 9 9 8 7 5 3 1 -2 -2 -1 0 3 6 8 8 8 7 6 6 6 7 8 9 9 9 10 10 10 10 10 10 9 9 9 9 8 8 7 6 5 5 4 4 4 3 3 4 7 10 11 11 10 10 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 12 12 11 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 12 13 14 15 16 18 18 14 9 4 1 1 1 1 2 4 5 6 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 10 9 7 6 6 5 6 6 7 7 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 8 8 10 11 13 14 14 15 15 15 13 12 11 10 9 9 8 7 6 4 3 2 2 2 2 3 3 3 4 5 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 8 8 6 4 3 2 2 4 5 5 6 7 10 12 13 11 9 8 9 10 10 10 9 10 10 10 10 9 9 9 9 8 9 9 10 11 12 12 10 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 12 12 12 10 4 -2 -6 -7 -5 -3 -1 2 4 6 7 nan
nan 9 9 9 9 9 9 9 8 8 9 9 9 8 7 7 8 9 9 9 9 9 9 8 7 6 5 5 6 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 10 11 12 14 16 17 17 17 17 16 13 12 11 10 9 9 9 9 8 8 8 8 8 6 5 4 2 1 3 5 6 7 7 6 6 5 5 6 7 7 8 9 9 10 9 9 8 7 6 5 3 3 4 4 5 7 8 10 12 14 14 12 10 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 10 11 10 10 10 11 10 9 8 7 7 8 9 9 10 11 11 11 11 10 10 11 11 11 12 12 11 10 10 9 8 3 -2 -4 -4 -1 1 2 4 6 7 8 8 nan
nan 9 9 10 9 9 9 9 8 9 9 9 8 7 7 7 8 9 9 8 9 9 9 8 6 5 5 5 6 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 9 9 9 9 10 11 12 13 14 14 14 14 13 12 12 12 12 12 11 10 9 9 9 10 10 10 10 9 8 7 6 5 5 4 3 2 1 3 3 4 5 6 6 6 7 8 10 10 9 9 8 6 5 6 7 9 9 9 9 9 11 12 13 13 12 10 9 8 8 8 9 8 8 8 8 8 8 7 7 7 8 8 9 9 9 8 9 9 9 10 11 11 10 9 8 8 8 9 9 10 11 12 12 12 11 11 11 10 10 11 11 11 9 8 8 5 1 -4 -6 -4 0 4 7 7 8 8 9 9 10 nan
nan 9 10 10 10 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 7 6 6 5 5 6 7 7 8 8 9 9 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 10 10 8 6 6 7 9 12 13 13 12 11 11 10 10 10 10 10 10 10 10 9 9 8 7 5 2 -1 -2 -1 0 2 5 6 6 6 7 8 8 8 8 8 7 7 7 9 10 11 10 9 9 10 11 10 10 9 9 9 9 9 9 9 8 7 6 6 7 7 6 5 5 6 7 7 8 8 8 8 9 9 9 9 10 9 10 10 10 10 11 10 11 11 12 12 12 12 11 11 10 10 10 11 11 10 9 7 4 -0 -5 -7 -6 -1 4 7 9 9 10 10 10 11 11 nan
nan 9 10 10 10 10 9 9 9 8 7 7 7 7 7 8 9 9 9 8 8 8 7 6 6 6 6 6 6 7 7 8 8 9 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 8 6 3 1 3 6 9 12 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 9 8 6 4 2 1 1 2 3 4 5 6 7 7 6 6 6 6 6 7 8 8 8 6 5 5 6 7 8 7 6 7 8 8 8 8 9 8 8 7 7 7 8 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 7 8 9 10 11 12 12 11 11 11 12 12 12 11 11 10 10 10 11 11 10 10 10 9 5 -0 -2 -1 2 7 9 10 10 10 10 11 11 10 10 nan
nan 9 10 10 10 9 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 8 7 7 6 6 6 6 6 7 7 8 8 9 9 10 11 12 12 12 11 11 10 10 11 11 10 10 9 9 9 9 9 9 8 9 8 8 8 9 9 9 9 9 9 7 4 3 4 7 10 12 12 11 11 12 13 12 12 13 12 12 12 11 12 12 12 13 13 13 12 11 9 8 7 6 5 4 4 5 7 8 8 6 5 5 4 4 5 5 4 3 3 3 5 7 8 8 6 6 7 7 6 6 6 6 7 8 9 11 12 11 10 10 11 12 13 13 12 11 9 8 7 7 6 7 7 7 9 10 11 12 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 9 9 10 12 12 13 12 11 10 10 10 10 10 10 10 nan
nan 10 10 9 9 8 7 7 7 7 7 7 7 8 8 8 9 9 10 10 9 9 8 8 7 6 6 6 6 7 7 8 8 9 9 10 11 12 12 12 11 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 8 7 6 8 11 14 15 14 12 11 11 12 12 12 13 14 14 15 15 15 16 16 17 19 19 17 15 13 12 11 11 11 10 8 7 6 6 7 8 8 7 6 5 4 4 4 4 5 6 9 11 12 11 9 8 8 8 7 6 5 5 6 7 10 13 14 13 10 9 10 10 11 12 12 11 10 7 5 4 5 6 7 7 8 10 11 12 12 12 11 11 11 11 11 12 11 11 10 10 9 10 10 10 10 11 11 11 14 16 19 17 14 12 10 10 10 10 9 9 9 10 10 nan
nan 10 9 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 10 10 9 9 9 8 7 6 6 6 6 7 7 8 9 9 9 9 10 11 11 10 10 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 7 7 8 10 13 14 14 12 11 10 10 10 10 10 11 13 14 15 16 17 18 18 20 20 19 17 16 16 16 16 17 17 17 15 13 10 8 8 9 9 9 8 7 7 6 7 7 9 11 13 13 13 11 9 8 8 8 8 8 8 7 8 10 12 13 12 9 7 8 8 9 9 9 9 8 6 3 3 4 6 8 8 9 10 11 12 13 13 12 11 11 11 11 12 12 11 11 10 10 9 10 10 10 10 10 11 12 14 16 14 10 8 6 7 8 9 9 9 9 10 10 10 nan
nan 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 8 7 6 6 6 6 7 7 8 9 9 9 9 10 11 11 11 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 10 9 9 8 8 8 9 9 8 8 9 10 12 13 14 14 15 15 16 16 15 15 16 19 20 21 22 24 23 22 20 18 17 16 15 14 12 10 9 9 8 8 8 9 10 10 10 8 7 7 7 8 8 9 9 9 9 10 11 11 9 7 6 8 9 10 10 9 8 6 5 4 4 6 8 10 10 10 11 12 12 13 13 13 12 11 11 11 11 12 11 11 11 10 9 10 10 10 10 10 10 11 12 13 10 5 3 2 3 7 9 9 10 10 10 10 10 10 nan
nan 9 8 7 7 7 8 8 9 9 9 9 8 8 8 8 9 9 10 10 10 9 9 7 6 6 5 6 6 7 8 8 9 9 9 9 11 13 13 14 13 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 5 5 5 6 7 7 8 8 9 10 10 11 11 11 11 12 12 11 12 13 15 18 20 22 23 24 23 22 22 22 23 23 20 16 13 11 10 9 9 9 9 9 8 7 6 5 6 6 7 8 8 9 9 9 10 10 10 9 8 7 9 11 12 12 11 10 8 6 6 8 10 12 13 13 12 12 13 13 13 13 13 12 11 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 7 5 4 5 8 10 10 10 10 10 10 10 10 10 nan
nan 8 6 6 7 7 8 9 10 10 10 9 9 9 8 8 9 9 9 9 10 9 9 8 7 6 5 6 6 7 8 8 8 9 9 10 13 15 16 16 14 13 12 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 7 5 3 2 2 4 6 7 8 9 9 10 10 10 10 10 11 11 11 11 11 13 14 15 17 18 18 17 16 16 16 17 18 17 15 13 11 10 10 9 9 9 9 10 10 9 7 6 6 7 7 8 8 8 9 9 10 11 12 13 13 13 14 14 14 12 11 10 10 10 12 14 16 17 17 16 15 14 14 13 13 13 12 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 11 12 13 12 11 11 11 11 10 10 11 11 nan
nan 6 6 7 7 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 8 7 6 6 6 6 7 8 8 8 9 9 12 15 17 17 16 14 12 12 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 7 6 5 2 1 2 4 5 7 8 8 10 10 11 11 10 10 10 10 10 11 12 14 14 14 14 14 12 9 7 6 6 8 9 9 8 8 8 9 9 9 9 10 10 9 9 7 5 3 3 4 5 6 7 8 9 10 12 13 15 17 18 18 17 16 14 12 12 12 13 15 17 17 17 17 17 17 15 14 13 12 12 12 12 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 11 13 13 14 14 12 11 11 11 11 11 11 11 11 nan
nan 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 11 10 9 8 6 6 6 6 7 7 8 8 9 11 15 18 18 17 15 12 12 11 11 11 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 8 7 7 7 4 2 2 3 5 6 6 7 9 10 11 11 11 10 10 10 11 12 13 14 14 14 13 12 10 7 4 1 -1 0 2 3 4 5 5 5 5 5 6 8 8 6 3 0 -3 -5 -5 -4 -3 -2 -0 2 5 8 11 14 16 17 17 18 18 17 15 14 13 13 14 15 16 15 15 14 14 14 13 13 12 11 11 11 12 11 11 10 10 10 10 10 9 10 10 10 9 9 9 10 10 10 10 10 10 9 10 11 12 12 14 14 13 13 12 11 11 12 12 12 12 nan
nan 8 9 10 10 10 10 10 10 10 9 9 9 9 9 9 8 8 9 9 10 10 10 10 8 7 6 6 6 7 7 8 8 10 12 16 18 17 15 12 11 12 12 12 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 4 3 4 5 6 7 8 9 11 12 11 11 11 10 10 11 12 14 15 15 13 12 11 10 7 5 3 1 2 4 4 4 4 3 2 1 0 1 2 1 -0 -3 -5 -7 -8 -8 -7 -6 -6 -6 -6 -4 0 4 8 11 13 14 14 14 14 14 13 13 13 14 15 14 14 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 12 14 15 15 14 13 12 13 13 13 13 13 nan
nan 10 11 11 11 10 10 9 9 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 8 7 7 6 6 7 7 8 9 10 13 15 15 13 11 11 12 13 13 12 11 10 10 10 10 10 9 10 10 10 10 9 8 8 7 7 7 7 7 8 8 8 9 8 6 4 4 5 6 8 8 9 11 12 13 12 11 11 11 11 12 14 14 14 13 11 10 10 9 9 9 9 10 12 12 10 9 7 5 3 2 1 1 0 -2 -4 -5 -5 -4 -2 0 2 2 1 0 -1 -1 0 1 2 3 5 9 11 12 11 10 10 10 11 12 12 12 12 11 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 9 10 10 10 9 9 9 10 10 10 10 10 10 12 14 15 16 15 14 13 13 13 13 13 13 nan
nan 10 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 7 6 7 7 8 8 10 12 13 12 11 10 12 13 14 13 11 10 10 10 10 10 9 10 10 11 10 9 8 7 6 5 4 4 5 7 8 8 9 9 8 6 5 4 5 7 8 9 10 11 14 15 14 13 12 12 12 13 13 13 11 10 9 9 9 10 11 13 15 17 17 16 15 13 12 10 9 8 7 7 5 4 3 3 4 6 8 10 11 10 11 11 11 10 8 5 3 3 6 10 12 12 10 9 9 9 10 11 11 11 11 10 9 9 8 8 9 9 9 9 9 9 10 11 11 12 12 12 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 13 13 14 15 16 14 14 14 14 15 15 15 nan
nan 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 7 7 7 8 9 11 11 11 12 13 14 13 12 10 9 8 9 9 10 10 10 10 11 10 9 8 7 6 4 2 1 2 4 7 8 9 9 10 8 6 4 4 5 7 8 8 10 13 17 17 16 14 13 13 13 13 12 11 10 9 9 9 10 11 12 13 14 15 16 16 16 15 15 14 13 12 12 13 12 11 11 11 12 12 13 14 14 15 17 18 18 17 15 13 11 12 15 16 14 11 10 9 9 9 10 11 11 11 11 10 9 9 8 9 9 9 9 9 9 10 11 11 12 12 12 12 12 11 10 10 10 10 10 10 10 9 9 9 10 11 12 12 12 12 12 12 12 13 15 16 16 17 18 19 19 18 16 nan
nan 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 7 7 7 8 10 11 12 13 14 14 12 10 8 8 8 9 10 11 11 10 10 10 10 9 9 8 6 3 2 3 4 6 8 9 10 10 10 8 5 4 4 6 7 8 8 10 14 17 17 16 14 14 13 13 13 12 11 10 9 9 9 10 10 11 11 11 12 13 14 15 16 17 17 17 18 19 19 19 18 17 16 16 16 16 18 20 22 24 23 21 19 18 17 17 18 17 16 12 9 9 8 8 10 11 12 12 12 11 10 10 9 9 9 9 9 9 9 10 11 12 13 13 12 12 12 11 11 10 10 10 10 10 10 9 9 10 10 12 13 13 13 13 13 12 12 12 13 14 15 18 22 25 26 24 22 20 nan
nan 10 10 10 10 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 6 6 7 8 9 11 12 14 14 12 11 10 9 9 9 10 11 11 11 11 10 10 10 10 10 8 7 5 5 6 7 8 9 9 9 8 7 5 3 2 4 6 7 7 8 10 14 16 16 16 14 13 13 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 14 16 18 19 21 23 23 23 22 21 20 21 22 24 26 28 29 29 25 21 19 17 16 17 17 17 16 12 10 9 9 10 12 12 13 13 12 11 11 10 10 10 10 9 9 9 10 11 12 13 13 12 12 12 12 12 11 10 10 9 9 9 9 9 10 11 12 13 14 14 14 13 13 12 12 11 12 12 14 19 24 27 26 25 25 26 nan
nan 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 9 10 9 9 9 9 9 9 8 7 7 6 6 6 6 7 9 11 13 14 13 12 11 10 10 10 10 10 10 11 11 10 10 10 11 11 10 8 7 7 8 9 8 9 10 9 7 6 4 2 1 2 5 6 7 7 7 10 14 16 16 15 14 13 12 11 11 10 10 10 9 9 10 10 11 11 11 10 9 9 9 9 11 12 13 15 18 19 20 21 20 21 22 24 27 30 30 29 28 26 22 19 17 17 17 18 20 22 21 17 14 13 12 13 14 14 13 12 11 11 11 11 10 10 10 9 9 9 11 11 12 13 11 11 11 12 12 12 11 10 10 9 9 8 9 10 11 12 14 14 13 13 13 13 12 11 11 10 10 10 13 15 18 19 20 21 23 26 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
82 86 87 91 105 128 150 168 157 137 101 65 42 33 31 26 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 3 4 4
85 90 98 119 157 196 221 231 195 157 113 74 49 36 27 16 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 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 3 4 5
87 95 117 165 228 271 287 269 226 171 115 69 39 23 14 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 3 5 6
92 110 148 219 300 331 317 269 199 131 76 37 14 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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 2 3 2 1 2 2 1 2 2 3 5 6
102 134 189 272 351 355 293 206 117 56 24 8 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 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 0 0 0 1 1 0 2 2 2 2 2 3 3 3 2 2 3 3 3 3 4 5 5 6
134 170 229 305 353 317 222 123 52 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 2 2 1 2 2 2 2 2 3 3 3 3 3 4 4 4 4 5 5 5 6
199 223 248 285 293 237 144 67 24 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 3 3 2 3 3 3 3 3 4 4 4 3 5 4 4 5
277 277 248 224 215 156 87 40 16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 3 3 3 3 3 3 4 4 4 4 4 4 5 5 4 4 4 4 5
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