Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 6 7 7 8 9 8 7 7 7 8 8 8 8 8 8 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 4 4 3 2 2 2 3 5 6 7 7 6 6 6 6 6 7 7 7 8 8 7 6 6 6 6 6 6 7 8 9 9 9 8 8 6 2 -1 -2 -0 3 5 5 5 6 6 7 7 8 8 9 9 9 8 8 8 8 8 8 7 8 8 8 8 8 7 7 7 7 7 7 7 7 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 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 6 6 6 7 7 7 7 7 6 6 5 5 6 6 8 10 11 nan
nan 7 6 5 5 6 6 6 6 6 6 6 6 6 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 7 6 5 5 5 5 5 5 5 5 5 4 3 2 2 4 5 5 6 6 6 6 6 6 6 7 8 8 8 8 7 6 5 5 5 6 7 8 9 9 9 8 8 7 4 1 -2 -2 0 3 5 5 5 6 6 7 8 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 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 8 8 7 7 6 6 6 6 8 10 nan
nan 6 5 5 5 5 5 6 6 6 5 5 6 6 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 5 5 5 5 5 5 5 6 6 6 5 4 3 3 3 4 5 5 6 6 6 6 6 7 7 8 9 9 8 7 5 4 4 5 7 8 9 10 10 9 8 8 7 4 0 -2 -2 1 4 5 5 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 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 7 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 7 7 7 7 8 nan
nan 6 5 6 6 5 5 6 6 6 6 6 6 7 7 7 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 6 6 6 6 5 3 3 3 4 4 5 5 5 6 6 6 7 7 8 8 9 10 9 7 5 4 5 6 7 9 11 11 10 9 8 7 6 3 -0 -2 -1 2 3 5 5 6 7 7 7 8 8 8 8 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 7 7 7 7 nan
nan 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 8 7 7 6 6 7 7 7 7 6 6 5 4 4 4 4 4 4 4 5 6 6 6 6 7 8 8 9 10 10 8 6 5 5 5 5 7 10 11 11 10 8 7 6 5 3 0 -1 -1 1 3 5 5 6 7 7 7 8 8 7 7 7 6 6 6 6 6 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 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 6 6 6 6 nan
nan 6 6 6 6 7 7 8 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 7 7 7 7 7 7 7 6 6 5 5 6 6 7 7 7 6 5 4 5 5 5 4 4 5 6 6 6 6 7 8 8 9 10 10 9 7 6 5 4 5 6 8 10 11 10 9 7 7 6 5 3 0 -2 -1 1 3 4 5 6 6 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 6 5 4 4 5 nan
nan 7 7 7 7 8 8 8 9 9 9 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 9 8 7 6 6 6 6 5 5 5 5 5 6 6 6 5 5 4 5 5 6 7 7 6 5 5 5 6 6 5 5 5 6 6 6 5 6 7 8 9 10 10 9 7 5 4 4 4 5 7 9 10 11 9 8 7 7 6 5 3 1 -1 -1 0 2 3 4 5 6 6 7 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 8 8 8 8 8 8 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 5 4 4 4 4 nan
nan 8 9 9 9 8 8 8 9 9 9 8 7 7 6 6 6 7 7 7 7 7 7 7 7 8 8 7 6 5 4 4 4 4 4 4 4 4 4 5 6 6 6 5 5 5 6 7 7 6 5 5 5 6 6 6 5 5 6 7 7 5 5 6 7 8 9 10 10 8 6 4 3 4 5 6 8 10 10 9 8 7 7 7 6 5 4 2 0 -0 0 1 1 2 4 5 6 6 6 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 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 7 7 6 7 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 8 8 8 8 8 7 7 6 5 5 4 4 3 nan
nan 8 9 9 9 8 8 8 9 9 9 8 7 7 7 6 6 7 7 8 7 7 6 6 6 6 6 6 6 5 5 4 4 5 5 5 4 4 4 5 6 6 6 6 5 5 6 7 7 6 5 4 4 5 5 6 5 5 6 7 7 6 5 5 6 6 7 9 11 10 7 5 3 3 4 6 7 9 10 9 8 8 7 7 6 6 6 5 4 3 2 0 -1 -0 2 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 6 6 5 5 4 4 nan
nan 7 8 8 8 7 8 8 9 8 7 6 7 7 7 7 7 7 8 8 7 7 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 5 5 6 7 7 6 5 5 5 5 5 5 5 5 5 7 8 7 6 6 6 5 6 7 9 10 9 6 3 3 4 5 7 9 9 9 8 8 8 7 7 6 6 6 6 6 5 3 1 -1 -0 2 3 4 5 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 nan
nan 6 7 7 7 7 7 8 7 6 5 5 6 6 6 7 7 7 7 7 7 7 7 6 5 5 5 6 7 7 7 7 6 7 7 7 7 6 6 6 6 6 7 6 5 5 6 7 7 7 6 5 6 6 6 6 5 5 5 6 8 7 7 7 7 6 5 6 8 10 9 7 4 2 3 5 7 9 9 8 7 8 8 8 7 6 6 7 7 6 6 5 3 1 0 0 1 2 4 4 5 5 5 5 5 5 5 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 8 7 7 7 7 7 7 6 6 6 6 7 7 7 6 6 6 5 5 5 6 6 6 nan
nan 6 6 6 6 6 7 7 6 5 6 6 7 7 7 7 8 8 8 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 6 6 5 6 7 7 7 6 5 6 7 7 7 7 6 6 6 7 7 7 8 7 7 6 5 6 8 8 7 5 3 2 4 6 8 9 8 7 7 8 8 7 6 6 7 6 6 6 6 6 4 2 1 -0 -0 2 3 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 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 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 5 4 4 4 5 6 6 nan
nan 7 6 5 5 6 7 7 6 6 7 7 7 7 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 8 8 8 7 7 6 6 6 7 6 6 6 6 6 7 7 6 4 5 6 7 7 8 8 7 6 7 7 8 8 8 7 6 6 6 7 7 7 5 3 1 3 5 7 8 7 7 8 9 8 7 6 6 6 6 6 6 6 7 6 5 3 1 -1 -0 1 3 4 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 4 4 4 5 5 6 nan
nan 8 7 7 7 7 8 7 7 7 7 7 7 7 7 8 9 9 7 6 6 7 7 7 8 8 8 7 7 7 7 8 8 8 9 9 9 8 7 6 6 6 6 7 7 6 6 6 7 7 6 5 5 5 6 8 8 8 7 7 7 7 8 8 8 8 7 7 6 6 6 7 5 3 1 2 4 6 6 6 6 7 9 8 7 6 6 6 7 7 6 7 7 7 6 5 3 1 -1 -1 -0 2 4 5 5 5 5 5 5 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 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 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 4 4 4 5 5 6 nan
nan 9 8 8 9 9 9 8 7 7 7 7 6 6 7 8 8 7 5 5 6 7 7 7 8 8 8 8 7 7 7 8 8 8 9 10 10 10 9 7 7 6 6 7 7 7 7 6 6 7 7 6 5 5 6 7 8 8 7 7 7 7 7 8 8 8 7 7 6 6 6 7 6 3 2 3 4 5 5 5 6 7 8 8 7 6 6 7 8 8 7 7 7 7 7 6 6 4 1 -1 -2 -0 2 4 5 5 5 5 5 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 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 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 6 6 nan
nan 9 10 10 10 10 9 8 7 8 8 7 7 7 8 8 6 5 4 6 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 9 10 10 10 9 8 7 6 7 7 8 7 7 7 7 7 7 6 5 6 7 8 8 7 7 7 7 7 8 8 8 7 7 6 6 7 8 6 3 2 3 4 5 5 5 6 7 8 7 6 5 6 7 8 8 8 7 7 7 7 7 7 6 4 -0 -3 -2 1 4 5 5 5 5 5 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 9 11 11 9 8 7 7 8 8 8 7 7 7 7 6 5 4 6 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 9 9 10 9 9 8 7 6 7 8 8 8 7 7 7 7 6 6 6 7 8 8 7 7 7 7 8 8 8 8 7 7 7 7 8 8 6 4 2 1 2 4 5 6 7 7 7 7 6 5 6 7 7 8 7 7 7 8 8 8 7 6 5 2 -1 -2 0 3 4 5 5 5 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 nan
nan 8 10 9 7 7 7 8 8 8 8 7 7 7 7 6 5 6 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 6 7 7 8 8 9 9 9 8 7 7 7 7 8 8 8 7 7 7 6 6 7 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 9 9 7 4 2 0 1 2 4 6 7 8 7 7 6 6 6 6 7 7 7 7 7 8 8 8 7 7 6 4 1 -0 1 3 4 5 5 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 nan
nan 8 9 8 8 8 9 9 8 8 8 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 6 5 5 6 7 7 8 8 9 9 8 8 8 7 7 8 8 8 8 7 6 6 6 7 8 8 8 7 7 7 7 8 8 8 7 7 7 7 8 9 9 8 5 2 1 0 1 3 6 7 8 8 7 7 6 6 6 6 6 6 6 7 7 8 8 8 7 7 5 4 3 3 3 3 5 7 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 6 6 6 6 7 7 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 nan
nan 9 9 8 8 8 8 8 7 7 8 9 9 9 8 7 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 8 9 10 9 6 3 1 0 1 3 6 7 8 9 8 7 6 5 5 5 5 6 7 6 7 7 7 8 8 7 5 6 6 5 4 4 6 9 11 10 8 7 5 4 5 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 nan
nan 10 9 8 8 7 7 7 7 8 9 9 9 8 7 6 5 5 6 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 8 8 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 9 10 10 9 6 4 1 1 2 4 6 7 9 9 8 7 6 5 5 4 5 6 6 6 6 7 7 8 7 5 4 6 7 6 5 6 8 11 12 11 8 5 3 3 5 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 8 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 9 8 7 6 6 7 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 7 8 9 8 8 8 8 7 7 7 8 10 11 11 9 7 3 1 1 3 5 6 8 8 9 8 7 7 6 5 4 5 6 6 6 6 7 8 8 6 3 4 6 7 7 7 8 10 11 11 10 7 3 1 3 5 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 7 7 7 nan
nan 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 9 10 11 11 10 10 9 9 9 8 7 6 6 6 7 7 7 7 8 9 10 10 9 9 9 8 8 7 7 8 9 9 9 8 7 7 7 7 8 9 11 11 11 9 6 3 1 2 4 6 8 8 8 8 7 7 7 6 5 5 5 6 6 6 7 7 8 7 5 4 4 6 7 7 9 10 10 10 9 8 5 2 3 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 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 7 7 7 nan
nan 10 9 8 8 8 7 7 7 7 7 8 9 9 8 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 7 7 7 8 8 6 5 4 5 6 7 7 8 9 10 10 10 10 9 8 8 7 8 9 10 10 9 8 7 6 6 7 9 10 11 11 11 9 6 2 1 2 4 7 9 9 8 7 7 7 6 6 5 5 5 6 6 6 7 8 7 6 4 4 5 6 7 8 9 10 10 9 8 7 5 5 6 7 7 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 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 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 7 7 nan
nan 10 9 8 7 6 6 7 7 8 8 9 9 8 7 7 8 8 9 9 10 10 9 9 9 9 9 9 9 8 7 7 7 6 6 5 5 5 7 7 7 6 5 5 5 7 7 8 9 10 11 11 10 9 8 8 8 8 10 10 10 9 8 6 6 6 7 9 11 11 12 11 9 5 2 1 2 5 8 9 8 7 7 6 6 7 6 5 5 5 5 6 7 8 8 6 4 4 5 6 6 7 7 9 10 10 9 8 7 7 8 9 8 7 6 6 6 6 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 9 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 nan
nan 9 8 7 7 6 6 7 7 8 8 7 6 5 5 6 8 8 8 8 9 9 8 8 8 9 10 10 10 8 7 7 6 5 5 5 5 4 5 7 8 8 7 6 6 7 8 8 9 10 11 11 10 9 8 8 8 9 10 11 10 10 9 8 7 7 9 10 12 12 12 11 7 3 1 2 4 6 8 8 8 7 6 6 6 7 7 6 5 5 5 6 7 7 7 5 4 4 5 6 7 7 7 9 10 10 9 7 7 8 9 9 8 7 7 8 8 8 8 8 8 8 9 8 8 8 8 8 7 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 nan
nan 8 7 6 6 7 7 7 7 7 7 5 4 4 4 6 7 7 8 7 7 7 7 7 8 9 9 10 10 9 9 8 8 7 6 6 6 5 4 5 6 8 8 7 7 7 8 9 9 10 11 11 10 9 8 8 8 10 11 11 10 10 9 9 8 8 9 11 12 13 12 9 5 2 2 3 5 7 8 8 7 6 6 6 6 7 6 6 5 6 6 6 6 6 5 4 4 5 6 6 7 7 8 10 11 10 8 7 6 7 7 8 7 7 8 9 9 9 9 10 11 12 11 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 nan
nan 7 6 6 7 7 7 7 8 8 7 5 4 4 5 6 7 7 7 7 7 7 7 7 7 7 7 8 9 9 10 10 10 10 9 8 7 5 4 4 4 5 7 7 7 7 8 9 10 11 11 11 10 9 8 8 9 10 11 11 10 10 9 9 8 9 10 12 12 12 9 5 2 2 3 5 6 7 8 8 7 6 6 6 6 6 5 5 5 7 7 7 6 5 4 4 5 6 6 7 7 8 9 11 11 9 6 5 5 6 6 7 6 6 7 8 9 10 11 13 15 16 15 13 10 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 9 9 8 8 8 8 8 9 9 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 8 nan
nan 7 7 8 8 7 7 8 9 9 8 7 6 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 9 10 10 11 11 10 9 8 6 5 4 3 4 5 6 6 7 8 9 10 11 12 11 10 9 8 8 9 10 10 10 10 9 9 9 9 10 12 12 12 9 5 1 0 2 5 6 7 7 8 7 6 5 6 7 7 5 4 4 6 8 8 7 6 5 5 5 6 7 7 7 7 9 10 10 9 5 4 5 5 6 6 6 5 6 7 8 9 10 12 14 15 16 14 11 7 4 5 6 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 8 8 9 9 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 8 8 8 9 9 nan
nan 9 9 9 8 8 8 9 10 10 9 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 8 9 10 11 11 11 10 8 7 6 4 4 4 5 6 6 7 8 9 11 11 11 10 9 9 9 9 10 10 10 9 9 8 9 10 11 12 12 10 6 1 -1 0 3 6 7 8 8 7 6 6 6 7 8 7 5 4 5 7 8 9 7 6 6 6 7 8 8 7 7 8 9 9 9 6 3 4 5 6 6 6 5 6 7 9 9 9 9 10 11 11 11 8 3 -1 0 4 6 7 7 8 8 7 8 8 8 8 8 8 8 8 9 8 8 8 7 7 8 8 8 8 7 7 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 nan
nan 10 9 8 8 8 9 10 10 9 9 8 8 8 7 7 7 7 8 8 7 7 6 6 7 7 7 7 7 7 8 8 9 10 11 12 12 11 9 8 6 5 5 5 5 6 7 7 8 9 10 11 11 10 10 10 10 10 10 9 8 8 8 9 10 11 12 11 8 2 -1 -1 1 4 6 8 8 8 7 6 6 6 8 8 6 5 4 5 7 8 8 7 7 7 7 8 8 7 7 8 8 9 9 7 5 5 6 7 7 7 7 7 8 9 10 9 8 8 8 8 8 6 2 -3 -5 -0 4 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 8 8 8 9 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 nan
nan 10 9 8 8 9 9 9 9 9 9 9 9 8 7 7 7 8 8 8 7 6 5 5 5 5 6 7 7 7 7 7 8 9 10 11 12 11 11 9 8 6 5 5 5 6 6 7 7 8 9 10 11 11 11 11 10 9 9 8 8 8 8 9 10 10 10 8 4 -0 -1 -0 2 5 7 8 8 7 6 5 6 6 7 7 6 5 6 6 6 7 8 8 8 8 8 8 8 7 7 8 8 8 7 6 6 7 7 8 8 7 7 8 9 9 9 8 8 8 8 8 7 4 -0 -4 -2 4 8 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 nan
nan 10 9 9 9 10 10 9 9 8 9 9 8 8 8 8 9 8 8 8 7 6 5 5 4 5 6 7 7 7 7 7 7 8 9 10 10 11 11 11 9 8 6 5 5 6 6 7 7 7 7 8 10 11 12 12 11 10 9 9 9 9 8 9 9 9 8 5 2 -1 -0 2 5 8 9 9 8 7 6 5 5 7 7 7 7 7 7 6 5 7 8 9 9 8 8 7 7 7 7 7 7 6 6 6 7 8 8 8 8 8 8 8 9 9 8 7 7 8 8 8 6 3 0 -0 5 10 13 12 11 10 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 nan
nan 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 7 7 8 8 9 10 11 11 11 9 7 6 6 6 7 7 7 7 7 8 9 10 11 12 12 11 10 10 9 9 8 8 8 8 6 4 2 1 2 6 9 11 11 10 9 7 6 6 6 8 8 8 7 7 6 5 5 7 9 10 9 8 8 7 7 7 7 6 5 5 6 7 8 8 8 8 8 8 9 8 8 8 8 7 7 8 8 7 6 5 4 8 14 17 16 14 12 11 11 10 9 9 9 8 8 8 8 7 7 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 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 nan
nan 10 10 11 10 9 9 8 8 8 8 8 9 10 10 10 9 8 8 8 7 7 7 7 7 6 5 5 5 6 6 6 6 6 7 8 8 9 10 11 11 10 8 7 6 7 7 8 7 7 8 8 9 10 10 11 12 11 11 10 9 9 8 8 8 7 6 4 3 4 6 9 11 12 11 10 8 7 7 8 9 9 9 8 6 5 4 5 7 9 10 9 8 7 7 6 6 7 7 7 6 7 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 10 15 18 18 16 14 13 13 11 9 8 8 8 7 7 7 7 7 7 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 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 nan
nan 10 10 10 9 8 8 8 8 8 9 9 10 10 9 9 8 8 7 7 7 8 8 7 7 6 6 6 7 7 7 7 6 6 6 7 7 7 8 9 10 10 9 8 7 7 7 7 7 7 7 8 8 8 8 9 11 11 11 10 9 10 9 8 8 7 6 5 4 6 9 11 11 11 10 8 8 8 9 9 10 10 9 7 5 4 4 6 8 9 8 7 7 6 5 5 7 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 9 12 14 14 13 12 13 13 11 9 7 6 6 6 6 7 7 7 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 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 nan
nan 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 7 6 6 6 5 5 6 8 10 10 9 7 7 7 7 7 7 6 7 7 6 6 7 9 11 11 10 10 9 9 8 7 7 6 5 5 8 10 11 10 9 8 8 9 10 10 9 9 9 8 6 5 4 6 8 8 6 5 5 6 6 5 6 8 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 10 10 10 9 9 9 10 9 8 5 3 4 5 5 6 7 7 8 8 8 9 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 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 nan
nan 9 9 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 8 7 7 6 5 5 5 7 8 9 9 9 8 7 7 7 7 7 7 6 6 5 5 7 9 10 10 9 9 8 7 6 6 6 5 6 9 11 10 9 8 8 9 10 11 10 9 9 8 7 6 4 5 7 7 6 4 4 5 6 5 5 6 8 8 8 8 7 7 8 9 10 10 9 9 9 9 9 9 9 9 9 9 10 11 12 11 10 9 8 8 7 6 5 5 3 1 -1 -1 2 4 6 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 nan
nan 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 6 7 8 8 8 8 7 7 6 6 6 6 7 9 9 9 8 8 8 7 7 7 7 6 5 4 5 6 8 9 9 9 8 6 5 5 5 5 6 8 9 9 9 8 8 9 10 11 10 10 9 9 7 6 5 6 8 7 6 5 5 7 7 6 6 7 7 7 7 7 7 7 8 10 11 9 9 9 10 10 9 9 9 9 9 10 11 13 13 11 9 8 8 8 6 2 -0 -2 -2 -5 -7 -3 2 5 7 8 8 9 9 9 9 9 9 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 8 8 8 8 8 7 7 8 7 8 8 8 8 8 9 9 9 9 nan
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nan 8 9 9 9 8 8 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 8 8 8 9 9 9 9 8 8 7 7 7 8 9 9 7 6 6 7 9 9 8 6 4 4 5 7 9 10 10 11 12 12 11 10 9 10 10 11 11 10 8 8 7 6 7 9 10 11 12 12 12 11 10 10 11 12 13 13 12 10 8 9 10 12 13 13 14 14 13 12 10 9 9 10 11 11 11 11 12 14 15 15 14 12 11 11 14 18 21 22 24 23 23 21 20 19 19 18 17 15 14 14 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 nan
nan 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 8 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 8 8 9 9 9 9 8 7 6 6 6 7 8 8 7 7 8 9 10 10 8 5 3 2 3 5 7 8 9 10 10 9 8 7 6 6 6 6 6 7 6 6 7 8 11 12 12 12 12 12 12 12 12 12 12 12 12 11 9 6 5 7 9 10 10 11 12 13 14 14 13 12 12 13 12 10 9 11 14 15 16 14 13 12 13 16 20 23 24 25 25 24 25 26 27 27 26 25 23 19 16 14 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 8 9 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 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 7 7 6 6 7 8 8 9 9 9 10 10 11 10 8 6 4 3 4 6 7 7 7 7 6 5 5 4 5 6 6 6 5 5 5 6 8 11 13 14 13 12 12 12 12 12 12 12 12 12 10 8 5 3 5 8 10 10 9 9 10 11 12 12 13 14 15 15 14 12 12 13 14 13 12 11 11 12 13 14 16 17 17 16 15 14 15 19 22 25 26 25 21 17 15 15 16 16 15 14 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 8 9 9 10 10 10 10 10 9 8 6 5 6 7 9 9 8 7 6 5 5 6 7 9 11 11 10 8 6 6 9 11 13 13 13 13 12 13 13 13 13 12 12 12 11 9 7 4 4 7 10 11 10 9 9 10 10 10 11 12 13 14 14 14 14 14 14 12 10 10 10 11 12 12 12 12 11 11 9 7 6 5 6 7 10 11 11 9 8 12 17 20 17 15 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 nan
nan 8 8 7 7 8 8 8 9 9 8 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 7 7 9 10 11 12 12 10 8 7 7 9 12 14 14 13 12 11 11 13 15 15 14 13 13 13 13 12 12 11 11 11 11 10 9 8 7 6 8 10 12 12 11 10 10 10 11 10 10 10 10 10 11 12 12 13 12 10 9 10 10 11 12 12 12 11 11 11 12 12 11 8 5 2 1 -0 -2 -1 3 9 15 16 13 12 12 13 13 13 13 13 13 13 13 12 12 13 13 13 13 13 13 12 12 12 12 12 nan
nan 8 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 7 7 8 9 10 10 9 8 9 11 12 13 14 13 11 9 8 9 11 13 14 13 13 13 14 17 19 19 17 15 13 13 12 12 11 10 9 8 8 8 8 8 8 7 8 10 12 13 13 12 11 12 12 11 10 9 9 9 9 9 10 10 11 10 10 9 9 9 10 11 11 12 13 14 16 17 19 20 19 16 13 10 8 6 8 12 15 16 12 12 14 15 16 16 15 15 15 14 14 14 14 15 17 17 16 15 15 14 14 13 13 12 12 nan
nan 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 6 5 5 5 6 8 10 11 11 9 10 11 11 12 13 12 10 8 8 8 10 12 14 14 13 14 15 17 19 19 17 15 14 12 12 10 10 9 8 8 7 7 7 7 7 7 8 9 10 11 12 12 12 12 12 11 10 9 9 9 9 9 10 10 10 11 10 10 9 8 7 8 9 10 12 14 15 16 17 18 20 22 24 24 23 23 24 26 28 28 25 22 22 23 24 23 21 20 19 17 16 16 17 20 24 25 23 20 17 16 15 14 14 13 12 12 nan
nan 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 11 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 8 8 7 6 6 7 7 8 8 7 7 8 8 9 9 9 9 9 9 9 9 8 8 7 6 5 3 1 -0 -0 1 2 4 6 8 9 9 10 11 12 11 11 11 9 7 7 8 10 13 14 15 14 14 14 15 16 16 15 14 13 12 11 10 9 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 9 9 10 11 13 14 14 13 13 14 15 17 20 23 24 25 27 30 31 31 29 29 29 30 30 30 30 27 24 22 22 21 22 25 28 28 25 20 17 15 15 14 14 13 13 12 nan
nan 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 10 9 8 8 10 12 12 12 11 10 10 10 10 10 9 9 8 7 6 6 6 7 7 8 8 8 8 8 9 9 10 10 9 9 10 10 9 7 6 3 1 -1 -3 -5 -4 -3 -1 0 1 2 3 5 6 9 11 12 11 10 9 7 6 8 10 13 15 16 16 15 13 13 13 13 13 12 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 9 10 11 12 12 12 11 11 10 10 10 11 12 12 12 12 12 12 12 11 11 11 11 11 12 14 15 17 18 19 19 20 20 20 21 23 25 27 28 29 28 28 28 29 29 27 25 23 20 19 18 18 17 16 16 15 14 13 13 nan
nan 8 8 7 7 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 9 7 5 5 7 10 12 12 12 12 11 11 10 10 10 9 9 8 7 6 5 6 7 8 8 8 8 9 9 9 10 10 10 10 10 10 10 8 5 2 -1 -3 -4 -4 -3 -1 1 2 1 1 0 1 3 6 8 9 8 7 7 6 6 7 9 12 14 15 15 15 13 12 12 12 12 12 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 6 7 7 7 7 7 8 9 8 8 8 9 11 12 12 12 11 11 10 10 10 10 11 12 13 13 13 12 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 13 14 16 18 19 20 22 25 28 30 30 28 24 20 18 19 22 24 24 22 20 17 14 13 12 nan
nan 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 11 10 10 11 11 9 6 3 1 2 6 9 11 12 13 13 12 11 11 10 9 9 9 8 7 6 5 6 7 8 8 9 9 9 10 10 10 9 9 9 10 10 8 5 2 0 -1 -2 -1 0 2 4 5 6 5 5 4 5 6 6 6 4 1 0 1 2 4 7 10 12 12 12 11 11 10 10 11 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 6 4 4 5 5 4 4 5 7 9 9 9 9 11 12 12 12 11 10 10 10 10 10 10 10 11 12 12 12 11 11 11 11 10 10 10 10 10 10 9 8 8 8 9 9 10 10 11 11 12 12 12 13 15 18 21 22 23 24 24 23 21 21 22 22 21 19 16 13 11 10 9 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 10 7 2 -0 0 3 7 9 10 11 13 13 13 12 10 9 9 9 9 8 7 6 6 7 8 9 9 9 9 10 10 10 10 10 9 9 9 9 7 5 4 4 4 5 5 6 7 8 9 9 9 9 9 9 9 8 6 2 -2 -3 -3 -1 2 5 8 8 8 8 8 8 8 8 9 10 9 9 9 9 9 9 8 8 8 8 8 8 8 7 6 5 4 4 3 4 5 4 4 4 7 9 10 9 9 11 12 13 12 11 10 9 9 9 10 10 10 10 10 10 10 11 12 13 13 11 9 9 9 10 10 9 9 8 9 10 10 10 10 10 11 11 11 11 10 10 11 13 14 15 16 18 20 20 17 12 7 5 4 4 4 5 6 7 7 nan
nan 9 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 11 11 10 10 7 3 -0 -0 2 6 8 9 10 10 12 13 13 12 11 10 10 9 8 7 6 6 6 8 9 10 9 9 9 10 10 10 10 10 10 9 9 9 8 8 9 10 11 12 12 13 13 13 12 11 10 10 10 10 9 8 7 4 2 1 1 1 2 3 3 3 4 6 8 8 8 7 7 7 7 7 8 9 8 8 8 8 8 8 8 8 7 5 2 1 0 2 4 5 6 7 8 11 13 13 10 8 8 11 12 12 11 10 9 9 10 10 10 10 9 9 9 9 9 10 12 13 13 10 9 9 10 10 9 9 8 9 10 10 10 11 11 11 11 11 11 11 11 11 12 12 13 12 12 13 13 11 7 1 -4 -6 -5 -3 -1 1 4 6 7 nan
nan 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 10 9 5 1 -1 1 4 7 8 9 9 10 11 12 13 14 13 11 10 9 8 7 6 7 8 9 10 10 9 9 9 9 9 9 9 9 9 10 10 9 10 11 13 14 16 16 16 16 17 16 13 12 10 10 10 10 9 9 8 7 7 7 7 6 5 3 2 1 3 6 8 8 8 7 7 6 5 6 7 8 8 8 8 9 8 8 7 6 4 2 2 2 3 5 6 8 10 12 14 16 16 13 9 8 9 10 11 11 10 9 9 10 10 9 9 8 8 9 9 9 9 10 11 12 10 10 10 11 12 11 10 9 9 9 9 10 11 12 12 12 11 11 11 11 11 12 12 12 11 10 10 9 8 4 0 -2 -2 -1 0 1 2 4 6 7 8 nan
nan 9 9 9 9 9 8 9 9 9 9 8 8 8 8 8 8 9 9 10 10 9 8 4 -1 -0 2 5 8 9 9 9 9 10 12 14 15 14 12 10 8 7 7 7 8 9 9 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 12 13 14 14 14 14 13 12 11 10 10 11 11 11 10 9 9 9 9 9 9 9 9 8 7 6 6 7 7 5 4 4 6 6 6 7 7 7 7 7 8 9 8 8 7 5 4 3 4 7 9 11 11 10 11 13 15 16 15 13 11 10 10 10 10 10 9 8 8 8 9 8 7 6 6 7 8 8 8 9 9 10 10 9 10 11 12 13 12 11 10 10 10 10 10 12 13 13 12 12 11 11 11 11 11 12 11 9 8 7 5 2 -2 -4 -3 1 4 5 5 6 7 8 9 10 nan
nan 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 7 2 -1 0 3 6 8 9 9 9 9 10 12 14 15 15 12 10 9 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 12 13 13 13 12 10 8 5 4 5 7 10 12 12 12 11 10 10 10 10 10 10 10 10 10 11 12 12 12 10 7 4 3 4 5 6 7 7 6 7 7 7 7 6 6 5 5 5 6 9 11 13 12 11 10 12 13 13 11 10 10 11 11 11 11 11 10 8 6 6 6 6 5 4 3 4 6 6 7 8 8 9 9 8 7 8 8 10 11 12 12 11 11 11 11 11 12 13 13 12 12 11 11 11 10 11 10 9 8 7 4 0 -4 -6 -4 -1 4 6 7 8 8 9 9 10 11 nan
nan 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 6 1 -0 1 4 7 8 9 9 9 10 10 11 14 15 15 13 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 12 13 12 11 9 7 2 -0 1 3 7 11 12 13 13 13 12 12 11 11 11 10 11 12 13 15 16 17 16 14 12 10 7 6 5 5 5 5 5 6 6 6 4 3 3 4 4 5 8 9 9 7 5 6 8 10 10 8 6 7 8 9 10 11 11 11 9 7 7 7 7 5 4 4 6 7 8 8 8 8 8 8 8 6 5 5 6 8 10 12 13 12 12 11 11 12 12 12 12 11 11 11 11 10 11 11 10 10 9 9 6 2 -0 1 3 7 9 10 10 10 10 10 10 10 11 nan
nan 9 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 8 5 1 1 2 5 7 8 9 9 9 10 10 11 13 15 16 15 14 12 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 8 8 8 9 10 11 11 11 10 7 4 1 2 6 9 12 13 13 13 13 14 14 14 14 14 13 14 15 17 19 20 21 21 19 17 14 12 10 8 7 5 4 4 4 5 5 5 4 3 3 3 3 5 5 5 3 3 4 7 9 11 9 7 6 7 7 7 8 8 8 8 8 9 10 10 9 7 7 8 10 12 12 12 11 10 8 7 6 5 5 5 7 10 12 13 13 12 12 11 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 12 14 14 14 13 12 11 11 11 11 10 11 11 nan
nan 8 8 9 9 9 9 8 9 9 9 8 8 8 8 8 8 8 9 9 9 8 5 2 1 2 5 8 8 9 9 10 10 11 11 12 14 16 16 14 11 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 8 8 8 9 9 10 10 9 7 5 4 6 10 13 15 15 13 12 12 13 13 14 15 16 17 18 21 23 25 25 25 24 22 19 16 13 11 10 9 8 7 6 5 4 4 4 5 6 6 6 5 5 6 5 5 5 7 11 14 16 14 11 10 9 9 9 8 7 7 6 7 10 12 12 11 8 7 7 8 10 11 11 11 10 7 5 4 4 5 6 8 10 12 14 14 13 12 11 10 10 10 10 11 11 11 11 10 10 11 11 11 11 11 11 12 15 19 21 20 17 14 12 12 11 11 11 11 11 11 12 nan
nan 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 5 2 1 2 5 7 8 9 9 10 10 11 11 12 14 16 16 13 11 10 10 10 10 10 10 11 11 11 11 11 10 9 9 8 8 8 8 8 8 8 8 7 5 5 6 9 13 14 14 12 11 11 11 11 11 12 14 16 18 22 25 27 27 25 23 21 18 15 13 12 12 11 12 12 12 11 9 8 7 7 9 10 10 10 10 9 9 8 8 10 13 16 17 16 13 11 11 11 11 11 10 9 8 8 10 12 12 10 7 5 5 6 7 7 8 9 8 5 3 3 4 6 8 9 10 12 14 14 13 12 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 14 17 19 17 13 11 9 9 10 11 11 11 11 11 12 12 nan
nan 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 5 1 0 2 5 8 9 9 10 10 11 11 11 12 14 16 15 14 12 11 10 10 10 10 11 12 11 11 10 10 9 8 8 8 8 8 8 8 8 7 6 5 5 6 8 10 11 11 10 9 9 9 10 10 10 11 12 14 17 21 22 22 20 17 14 13 12 12 12 13 14 15 16 17 17 16 15 15 15 17 17 15 14 12 11 10 10 10 10 12 13 13 13 10 9 9 9 10 10 10 9 9 8 9 10 10 8 6 4 5 7 8 8 8 8 7 5 4 4 6 8 10 12 12 12 13 13 13 12 12 11 10 10 9 9 10 10 11 11 11 11 11 11 10 10 10 11 13 15 15 13 8 5 4 5 9 11 11 11 11 11 12 11 12 nan
nan 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 4 1 0 2 5 8 9 9 10 10 11 11 11 12 15 16 16 15 13 12 11 10 10 11 11 11 10 10 9 9 8 8 8 8 8 9 9 9 8 6 6 6 6 8 9 10 10 9 7 6 6 7 8 9 10 11 12 14 17 18 17 14 11 9 8 8 9 11 12 13 14 15 16 18 18 18 18 19 21 22 20 17 13 12 11 10 10 10 11 11 11 10 8 7 7 7 8 9 8 8 8 8 9 10 10 9 7 5 6 8 10 10 11 11 10 8 8 9 11 13 14 13 13 13 13 13 12 11 11 11 11 10 9 9 9 9 10 10 11 11 11 11 10 10 10 9 11 12 13 12 9 7 6 7 10 12 12 12 12 12 12 12 12 12 nan
nan 7 7 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 9 9 10 8 3 0 -0 2 5 8 9 10 10 11 11 11 12 13 16 17 16 15 13 11 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 10 9 8 7 6 6 7 8 9 9 10 9 8 5 2 2 4 7 9 10 11 13 16 17 15 13 10 8 7 8 9 10 11 11 11 12 13 14 15 14 14 15 16 17 17 15 12 10 10 10 10 10 10 11 12 12 11 8 7 7 7 7 7 7 7 8 8 10 12 12 12 11 10 10 11 11 11 12 13 13 13 15 16 18 18 18 15 14 13 13 12 11 11 12 12 11 10 9 8 9 9 10 10 11 11 11 10 10 10 10 10 11 11 12 11 10 11 13 14 16 14 13 13 13 13 13 13 13 13 nan
nan 8 7 7 6 7 7 8 8 8 8 8 9 9 9 9 9 8 9 9 10 7 3 -0 -1 1 6 8 9 10 10 11 11 11 12 15 18 18 17 14 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 8 6 5 6 7 8 8 8 9 9 8 6 2 -0 1 3 6 8 10 12 15 16 15 13 10 8 8 8 9 10 11 11 11 11 12 13 12 11 9 8 8 9 9 9 8 7 8 8 9 9 10 10 11 11 10 8 5 4 4 4 4 5 6 8 9 11 13 15 17 17 16 15 14 13 13 14 15 16 17 18 19 19 18 18 17 16 15 13 12 10 11 12 13 13 12 11 10 9 9 9 10 10 11 11 11 10 10 10 11 11 12 12 11 11 12 14 16 18 18 16 14 14 14 14 14 14 14 13 nan
nan 9 8 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 9 9 6 2 -1 -1 2 6 8 9 10 10 11 11 12 14 18 20 19 16 13 11 10 10 10 10 9 9 8 8 9 10 10 10 10 10 10 9 8 6 6 7 8 8 8 8 8 8 8 8 5 1 0 1 3 6 8 11 13 16 15 13 11 10 9 9 10 11 11 12 12 12 12 13 12 9 7 4 2 3 4 4 4 4 4 4 5 6 7 8 8 6 4 1 -2 -4 -4 -3 -2 -1 1 4 7 10 12 15 18 19 18 18 17 16 16 16 17 18 18 18 17 16 14 13 13 13 13 13 12 11 10 11 12 13 13 12 12 11 10 10 9 10 10 11 10 10 10 10 11 12 12 12 12 11 12 13 14 15 18 18 16 15 15 14 14 14 14 14 14 nan
nan 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 10 9 6 3 -0 -1 2 6 8 9 10 10 11 11 13 16 20 21 17 13 10 10 11 11 11 10 9 9 8 9 10 11 12 12 11 11 10 9 7 7 7 8 9 9 8 8 7 7 8 7 4 1 1 2 4 7 10 13 16 17 15 12 11 10 10 11 11 12 12 12 12 12 12 12 10 7 6 4 4 5 4 4 3 2 1 1 1 2 3 3 1 -1 -4 -5 -6 -6 -5 -3 -4 -4 -2 0 4 7 10 13 16 16 16 15 15 15 16 16 17 17 17 15 13 11 10 10 10 10 11 11 11 10 10 11 12 13 14 13 13 12 11 10 10 10 10 10 10 10 10 10 11 12 12 11 12 11 12 12 13 15 17 18 17 17 15 14 14 14 14 14 14 nan
nan 10 9 9 9 9 8 8 8 8 8 9 8 8 8 8 8 8 8 9 9 8 5 1 -1 2 5 7 9 10 10 10 11 13 17 20 18 13 10 10 12 13 12 11 9 9 9 9 10 12 13 13 13 12 10 9 9 8 8 8 7 7 7 7 7 7 8 8 6 3 2 2 4 6 9 12 15 18 18 15 13 12 12 11 11 12 11 11 11 11 11 12 11 10 10 11 12 12 11 9 8 7 5 4 3 3 3 3 1 -1 -3 -3 -1 0 2 4 3 3 2 2 2 4 5 5 6 8 11 13 13 13 12 12 13 13 13 12 11 10 9 9 9 9 10 10 10 10 10 10 11 13 14 15 14 14 13 11 10 10 10 10 10 10 10 11 11 11 12 11 11 12 12 13 12 13 14 16 17 18 17 16 14 14 14 14 14 14 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 10 9 6 1 -1 1 3 6 9 10 10 10 11 13 16 17 14 11 11 12 13 13 11 8 7 8 9 10 11 13 14 14 13 11 10 9 9 8 6 5 4 4 5 7 8 8 9 8 5 3 1 2 5 8 9 12 15 20 20 17 15 13 12 12 11 11 10 9 9 10 11 12 11 12 14 16 16 16 15 14 13 12 11 11 10 10 9 7 5 4 5 6 7 9 10 10 10 11 11 11 10 8 6 4 5 9 13 14 13 11 10 10 10 11 11 10 10 10 9 9 9 9 10 10 10 9 9 10 11 13 14 15 15 14 13 11 10 9 9 9 10 11 11 11 11 12 11 12 12 13 14 14 13 13 14 15 16 17 17 15 14 14 14 14 15 15 nan
nan 8 9 9 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 7 3 -0 -1 2 5 8 10 10 10 11 13 15 16 14 14 14 15 13 10 7 6 6 8 10 11 13 13 13 13 12 10 10 10 9 6 3 1 1 3 5 8 9 10 10 8 5 2 1 3 7 8 10 12 18 23 22 19 15 13 12 11 11 10 10 9 10 11 12 12 12 12 14 15 15 16 17 17 17 17 16 15 14 13 13 12 12 11 12 12 12 13 13 14 15 16 17 16 15 12 10 10 13 16 18 16 12 10 9 9 10 11 11 11 10 10 9 9 9 9 10 10 10 9 9 10 12 13 14 15 14 14 13 11 9 8 8 9 10 11 12 12 12 12 12 13 14 15 15 14 14 14 13 13 14 15 15 16 17 18 19 19 18 18 nan
nan 8 9 10 10 10 10 10 10 10 10 10 10 9 8 8 8 8 8 8 9 10 8 5 1 -1 0 4 8 9 10 10 10 12 14 15 16 16 16 14 11 8 6 5 7 9 11 13 14 14 13 12 11 11 11 11 9 5 3 2 3 4 7 9 10 11 10 7 3 1 1 4 7 9 10 13 19 23 21 18 15 12 12 11 11 10 10 10 11 11 12 11 11 11 11 11 12 14 16 17 18 18 17 16 16 17 17 17 16 15 15 15 15 16 17 19 20 21 20 18 15 14 13 15 17 18 17 13 9 8 8 8 10 11 12 11 10 10 10 9 10 10 10 10 10 10 10 12 12 13 14 14 13 13 12 11 9 8 8 9 10 11 11 12 12 12 13 14 15 16 15 15 14 13 12 12 13 14 15 18 23 26 27 25 24 23 nan
nan 9 9 10 10 9 9 9 10 10 11 11 11 10 9 8 8 8 8 8 9 10 9 7 2 -1 -0 3 7 9 9 10 10 11 14 16 17 18 16 12 10 8 7 7 9 11 13 15 15 14 13 12 13 14 13 12 9 7 7 7 7 8 9 10 10 9 7 3 -0 -1 1 5 8 9 10 14 19 21 19 16 13 12 12 11 11 10 11 11 11 12 11 11 11 10 11 11 12 13 13 13 14 14 15 16 18 19 20 19 18 18 18 19 20 22 23 24 24 23 20 17 15 14 14 16 17 18 16 13 10 9 9 10 12 13 12 11 10 10 10 10 10 11 10 10 10 10 12 12 12 12 11 11 12 13 13 11 9 8 8 9 10 10 11 12 12 13 14 15 15 15 14 14 13 12 11 11 11 12 14 19 24 28 27 27 27 28 nan
nan 8 9 9 9 9 9 9 9 9 10 11 11 11 10 9 9 9 8 8 9 9 10 8 3 -1 -1 1 5 8 9 10 10 11 13 16 18 18 15 12 10 9 8 8 10 11 13 14 14 13 12 14 15 15 14 11 9 9 10 10 9 9 10 9 7 5 2 -1 -2 0 4 7 9 9 10 14 18 19 18 15 13 12 12 11 11 11 11 11 11 11 11 11 11 11 12 13 13 12 10 9 9 10 11 13 16 17 17 17 17 18 19 21 23 24 24 23 22 20 17 15 14 14 16 18 20 22 20 16 14 13 13 14 15 13 12 11 10 10 10 10 10 11 11 11 11 11 12 12 11 10 8 10 12 14 13 10 9 8 9 9 9 10 11 12 12 13 14 14 13 12 12 11 11 10 10 9 9 10 13 16 19 19 20 22 24 27 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
29 25 16 10 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3
24 14 7 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6
15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 9 12
6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 14 19 22
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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 9 16 24 31 32
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 15 22 28 35 40
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 2 3 5 10 16 20 25 32 41
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