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 8 8 8 8 8 8 8 8 9 9 9 10 9 9 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 7 7 6 7 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 8 7 4 1 -3 -6 -5 -1 4 6 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 9 9 9 9 9 9 8 8 8 nan
nan 8 7 8 8 7 7 7 7 8 8 8 7 7 6 6 6 6 6 7 7 8 8 7 7 7 8 8 8 7 7 7 6 7 7 7 7 6 6 5 6 7 7 8 8 8 8 8 7 6 6 7 8 10 10 10 10 10 9 9 9 9 9 10 11 10 9 8 8 8 9 10 10 10 10 9 8 7 5 2 -2 -5 -6 -4 -0 3 5 5 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 7 7 8 8 8 8 8 8 8 nan
nan 7 7 7 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 8 8 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 8 8 8 7 6 7 8 9 9 9 9 9 9 8 9 9 10 11 11 11 10 8 6 7 8 9 10 10 10 10 9 7 6 4 2 -1 -5 -6 -4 -0 2 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 nan
nan 7 7 7 7 7 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 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 10 11 12 12 11 9 7 6 7 7 8 9 9 9 9 8 7 5 4 1 -2 -5 -6 -4 -2 1 2 3 4 4 5 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 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 6 6 6 6 6 7 7 8 8 8 nan
nan 7 7 7 7 7 7 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 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 7 7 7 7 8 8 9 10 11 12 11 11 10 8 6 6 6 6 7 8 8 9 8 8 6 5 3 0 -3 -5 -6 -5 -3 -1 1 2 3 4 4 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 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 7 6 6 6 7 7 7 7 7 7 nan
nan 7 6 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 7 7 7 6 6 6 7 7 8 8 8 7 7 7 7 8 8 9 9 9 8 8 9 9 8 7 6 6 7 7 8 9 10 11 12 11 11 10 8 6 5 4 5 5 6 7 8 9 8 7 6 5 3 1 -2 -4 -6 -6 -4 -2 -1 1 2 3 4 5 5 5 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 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 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 7 7 7 nan
nan 7 7 8 8 8 8 7 7 7 7 7 7 6 7 7 7 7 7 7 7 8 8 9 9 9 8 8 7 6 6 5 5 5 5 5 6 6 7 7 8 8 7 7 6 6 7 9 9 9 8 8 9 10 9 8 6 6 6 7 8 8 9 10 11 11 11 10 7 4 3 3 4 4 5 6 8 9 9 8 7 6 6 4 2 -0 -3 -4 -5 -5 -4 -2 -0 1 3 4 5 5 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 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 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 nan
nan 8 8 9 9 8 7 6 6 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 4 4 4 4 5 6 6 6 6 7 8 8 8 7 6 5 6 8 9 9 8 8 9 9 9 8 7 6 6 7 8 8 8 8 9 9 10 10 8 5 3 2 3 4 5 6 7 8 9 9 8 8 7 6 5 4 2 0 -2 -4 -5 -5 -4 -2 1 3 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 6 5 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 8 8 8 8 8 8 8 8 8 nan
nan 9 8 9 8 7 6 6 6 7 8 7 7 7 7 7 7 7 7 8 7 6 6 6 6 5 6 6 5 5 4 4 4 5 6 6 6 6 6 6 7 8 8 7 6 6 6 7 8 8 8 8 8 8 8 8 6 5 6 7 8 8 7 7 7 8 8 9 8 7 4 3 3 4 5 6 7 8 9 9 9 9 9 8 7 6 6 4 3 1 -2 -4 -5 -4 -2 1 3 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 6 5 6 5 5 6 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 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 7 7 7 7 7 7 8 8 8 8 nan
nan 9 8 7 6 6 6 6 7 8 7 6 7 7 8 7 7 7 8 8 7 6 6 5 5 4 5 5 6 6 6 5 5 6 7 7 7 7 6 6 7 7 8 7 6 6 7 8 8 8 8 8 8 8 8 7 6 5 5 7 8 8 7 7 6 6 6 7 7 7 6 4 4 5 6 6 7 7 8 8 9 9 10 9 8 7 7 6 6 5 3 0 -2 -4 -4 -2 0 2 4 5 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 6 6 6 6 6 6 6 6 6 6 6 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 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 nan
nan 8 7 6 5 5 6 6 7 7 6 6 7 7 8 7 7 7 7 6 6 6 6 6 5 5 5 6 6 7 6 6 6 7 8 8 8 7 7 7 7 7 7 7 6 6 7 8 8 8 7 8 8 9 9 8 7 5 5 6 7 8 7 7 7 6 5 5 6 7 7 6 5 5 6 6 6 7 8 7 8 9 10 10 8 8 8 7 7 6 5 4 2 -1 -3 -4 -3 -1 2 3 5 5 5 5 5 5 5 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 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 7 7 7 7 7 7 8 8 8 8 8 9 nan
nan 7 6 5 3 4 6 6 6 5 6 7 8 8 8 8 8 8 7 6 6 7 7 7 6 6 6 6 7 7 6 6 6 6 7 8 8 8 7 7 7 7 7 7 6 6 6 7 8 8 7 7 8 9 10 9 8 7 5 5 6 7 7 7 7 6 5 4 4 5 6 6 6 6 6 6 6 7 7 7 7 8 9 10 8 8 8 8 7 7 6 6 5 3 -0 -3 -4 -4 -2 1 3 4 5 5 5 5 5 5 5 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 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 9 9 9 nan
nan 7 6 3 3 5 6 7 6 6 7 8 9 9 8 8 9 8 8 7 8 8 8 7 7 7 7 7 7 7 7 6 6 6 7 8 8 8 8 7 7 7 7 7 7 6 6 6 7 8 6 6 7 9 10 10 9 8 6 5 5 6 6 6 6 6 6 5 4 5 6 6 6 6 6 6 6 6 6 6 6 7 9 10 9 8 8 8 8 7 6 6 7 6 3 1 -2 -4 -4 -2 0 2 3 4 4 4 5 5 5 5 5 5 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 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 9 9 9 9 9 nan
nan 7 5 3 4 6 7 7 7 7 7 8 8 7 7 8 8 8 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 8 8 9 8 8 7 7 7 7 7 7 6 6 7 7 7 6 6 7 9 10 10 9 7 6 5 5 5 6 6 6 6 5 5 5 5 6 7 7 7 6 6 6 6 5 5 7 8 9 9 9 8 8 8 8 7 7 7 7 6 4 2 -2 -4 -5 -3 -0 2 3 4 4 4 4 5 5 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 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 nan
nan 5 4 5 7 8 8 8 7 8 8 7 6 5 6 7 7 6 5 6 6 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 9 9 8 8 7 7 7 7 7 7 6 6 7 7 7 6 7 8 10 10 9 8 6 5 5 5 5 5 5 5 5 5 5 5 6 7 7 8 8 8 7 6 5 5 6 7 8 8 8 8 9 9 9 8 7 7 7 7 6 5 2 -1 -4 -4 -2 1 2 3 4 4 4 4 4 5 5 5 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 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 9 9 9 nan
nan 4 5 7 8 8 8 8 8 8 8 6 6 6 7 7 7 5 4 5 6 6 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 9 9 9 8 8 7 7 7 8 7 7 7 7 7 7 7 7 8 9 10 10 9 7 6 5 5 4 4 4 4 4 4 4 5 6 6 7 7 8 8 8 7 5 5 6 6 7 7 6 7 8 9 9 8 8 8 7 7 7 7 5 2 -1 -4 -3 -1 2 3 4 4 4 4 4 4 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 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 8 8 8 9 nan
nan 5 7 7 8 8 8 8 8 8 7 7 6 7 8 8 6 5 5 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 7 6 7 7 8 8 8 8 7 7 7 7 8 7 7 7 7 7 7 7 7 9 11 11 10 8 7 6 5 5 4 4 4 4 4 4 5 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 7 7 8 8 7 8 8 8 8 7 6 5 2 -1 -2 -1 1 3 4 5 5 4 4 3 4 4 5 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 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 5 5 5 5 6 7 7 8 nan
nan 6 7 7 7 8 8 9 9 9 8 7 7 8 9 9 7 6 6 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 6 6 7 7 8 8 8 8 7 7 7 7 8 7 7 7 7 6 7 8 10 11 11 10 9 8 7 7 6 5 4 4 4 4 4 5 6 6 6 5 5 5 6 6 6 6 6 6 6 6 5 5 6 6 7 7 7 7 8 9 9 8 7 6 4 2 1 1 2 3 4 5 5 5 4 3 3 4 4 5 5 5 5 5 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 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 5 4 4 3 3 4 5 6 6 7 nan
nan 6 7 8 8 9 9 9 9 8 7 7 8 10 11 9 7 6 6 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 7 7 6 6 6 7 8 10 10 11 11 10 9 8 8 7 6 5 4 4 4 4 5 6 6 6 6 5 5 5 6 6 6 7 7 7 6 5 5 5 5 5 5 6 6 7 8 8 8 8 7 6 5 4 3 3 3 5 6 7 6 4 3 3 3 4 4 5 5 5 5 5 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 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 6 6 5 5 4 4 3 3 3 3 4 5 6 6 nan
nan 7 7 8 9 8 8 9 8 7 7 9 11 12 10 8 6 5 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 6 6 6 7 9 10 10 11 11 10 10 9 8 8 7 6 5 4 4 4 5 5 6 6 6 5 4 5 5 6 6 7 8 8 7 6 5 4 4 4 5 5 5 6 7 8 8 8 7 6 7 6 5 4 4 6 8 8 6 5 3 2 2 3 4 4 4 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 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 6 6 6 5 5 5 4 4 3 3 3 3 4 5 5 6 nan
nan 7 7 7 7 7 8 8 7 7 9 11 11 10 8 6 5 5 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 7 7 8 8 8 8 8 7 7 7 7 7 7 6 7 8 10 10 10 11 11 11 11 10 9 9 8 7 6 5 4 4 4 5 5 6 6 5 5 5 5 5 6 7 8 8 7 6 5 4 4 4 4 5 5 5 6 7 8 7 5 5 7 7 7 6 6 8 9 9 8 5 3 2 3 4 4 4 4 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 6 6 6 5 5 5 4 3 3 3 3 4 4 5 6 nan
nan 7 6 6 6 6 8 7 7 8 10 10 10 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 10 10 9 8 7 7 7 8 8 8 7 7 7 7 7 7 8 9 10 10 10 10 11 11 11 11 11 10 10 9 8 7 5 4 4 4 4 5 5 5 6 6 6 6 6 6 7 8 8 7 7 6 4 4 4 4 5 5 6 6 7 8 6 4 5 6 7 7 7 8 9 9 9 8 6 3 2 4 5 5 5 5 5 5 6 6 6 6 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 8 8 8 8 8 7 7 7 7 7 7 8 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 4 4 3 3 2 3 4 4 5 nan
nan 7 6 6 6 7 7 6 7 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 10 10 10 9 9 9 9 9 9 8 7 6 7 8 8 7 7 7 8 8 9 9 10 11 10 10 10 11 11 11 11 11 11 10 10 9 8 6 5 4 4 4 4 5 5 6 6 6 7 7 7 7 7 7 7 7 6 4 4 4 4 5 5 6 7 8 7 5 5 5 6 7 7 9 10 10 9 8 7 5 3 4 5 6 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 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 6 6 6 6 6 6 5 5 4 3 2 2 3 3 4 4 nan
nan 7 6 6 7 7 6 6 7 9 9 9 9 8 7 6 6 7 8 8 8 8 8 8 8 8 7 7 7 7 8 9 8 8 7 7 7 8 9 8 7 6 5 6 7 7 7 7 8 9 10 10 10 11 10 10 10 11 12 12 12 11 11 11 10 10 9 7 5 4 3 3 4 4 5 6 6 6 7 7 7 7 8 7 7 7 6 5 4 4 4 5 5 6 7 7 6 5 5 6 6 7 7 9 10 10 9 8 6 5 5 6 7 7 6 7 7 7 7 7 7 7 8 8 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 8 8 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 6 6 6 7 7 7 6 6 5 4 3 2 3 3 3 4 nan
nan 7 6 6 6 5 5 6 8 9 10 10 8 7 5 6 7 8 8 9 9 9 9 8 8 8 9 8 8 7 7 7 7 7 6 6 6 6 7 8 8 7 6 6 6 6 7 7 8 9 10 10 11 11 10 10 11 12 12 13 12 11 10 10 11 11 10 8 6 4 3 3 3 4 5 6 6 6 7 7 7 8 8 8 7 7 6 5 4 4 4 5 6 7 8 7 5 5 5 6 6 7 7 9 9 9 8 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 8 8 7 7 6 6 6 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 5 5 5 5 6 6 6 7 7 7 7 7 6 5 4 3 3 3 3 3 4 nan
nan 6 6 6 6 6 6 7 8 8 9 8 6 4 4 5 7 8 8 9 9 9 8 9 9 10 10 10 9 8 7 7 6 6 6 6 6 5 6 7 8 8 8 6 6 6 7 7 7 9 10 11 11 11 11 11 11 12 13 13 13 12 11 11 11 12 11 9 7 4 3 2 3 4 5 6 6 6 6 7 7 8 8 8 8 7 6 6 5 5 5 5 6 7 7 6 5 4 5 6 6 7 7 8 9 9 8 7 7 8 9 9 8 7 7 8 9 9 9 9 9 10 10 10 9 8 7 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 5 4 4 3 3 4 4 nan
nan 6 6 7 8 8 8 7 8 8 8 6 4 3 4 6 7 7 8 8 8 8 8 9 10 10 10 10 9 9 8 8 8 7 7 7 7 6 6 6 7 8 8 7 6 6 7 7 8 9 11 12 12 11 11 10 11 12 13 13 13 12 12 11 12 12 12 10 7 5 3 2 2 4 5 6 6 6 6 7 7 7 8 8 7 7 6 6 6 6 6 6 6 6 6 5 5 5 6 6 7 7 7 9 10 9 8 7 7 7 8 8 8 7 8 8 9 9 10 10 11 12 12 11 10 8 6 5 5 5 6 6 7 7 7 8 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 5 4 4 4 4 4 nan
nan 6 7 9 10 9 6 7 8 9 8 5 4 4 6 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 8 8 7 6 6 6 6 7 8 7 6 6 7 8 9 10 12 12 11 10 10 9 10 11 12 13 13 13 12 12 12 12 12 10 8 5 3 1 2 4 6 7 7 6 6 7 7 7 8 8 7 6 5 5 6 7 7 7 6 5 5 5 6 6 6 6 7 7 8 9 9 7 6 6 6 7 7 8 7 7 7 8 8 9 10 12 14 14 14 12 9 6 4 3 4 6 6 7 7 7 8 8 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 5 5 5 5 5 nan
nan 8 9 11 10 7 6 8 10 10 8 7 6 7 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 8 8 8 9 9 9 8 7 7 6 6 6 7 7 7 6 6 7 8 9 10 11 11 11 9 9 9 9 10 11 12 12 12 12 13 13 12 11 10 8 5 2 -0 1 4 6 7 7 7 6 7 7 7 8 8 7 6 5 5 6 8 8 8 6 6 5 6 6 6 6 6 7 8 9 9 7 5 5 5 6 6 7 7 6 7 8 8 9 10 11 12 13 13 12 9 6 3 2 3 5 7 8 8 8 8 8 9 9 10 11 11 11 10 10 9 9 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 7 7 7 7 6 6 6 6 6 6 6 5 nan
nan 10 11 10 8 6 7 10 11 10 8 7 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 8 7 7 6 6 6 6 6 6 7 7 8 9 11 11 10 9 8 9 9 10 11 11 11 11 12 13 13 13 12 10 7 4 0 -1 1 4 7 8 8 7 6 7 7 7 8 8 7 5 5 5 6 8 8 8 7 6 6 7 7 7 6 6 7 7 8 7 5 4 5 6 6 7 7 6 7 9 9 9 9 9 10 10 10 10 8 4 0 -0 2 5 7 8 9 9 9 8 8 9 9 10 11 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 nan
nan 10 9 7 6 6 9 10 10 9 8 8 9 9 8 8 8 8 9 8 8 7 6 6 5 6 6 6 7 7 7 7 8 9 10 10 10 10 9 8 7 6 6 6 6 6 6 6 7 8 10 11 10 9 9 9 10 11 11 10 10 10 11 12 14 14 12 9 5 1 -2 -1 2 5 8 9 8 7 6 7 7 7 8 8 6 5 5 5 6 8 8 7 7 7 7 8 7 7 6 7 7 7 7 6 5 5 6 7 7 7 7 7 9 10 10 9 8 8 8 8 8 7 4 -0 -2 1 4 7 9 10 10 10 9 8 8 9 9 10 10 11 11 10 10 9 9 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 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 10 8 6 6 8 10 10 9 9 9 9 9 9 8 8 8 9 8 8 8 6 5 4 4 4 5 6 7 7 7 7 7 8 9 10 10 11 10 9 8 7 6 6 5 5 6 6 6 7 9 10 10 10 10 10 11 11 10 10 9 9 10 11 13 13 12 8 2 -2 -2 0 3 6 8 9 8 7 6 6 7 7 7 7 6 6 5 6 6 7 7 8 8 7 7 8 7 7 7 7 6 6 6 5 5 6 7 7 7 7 7 8 9 10 10 9 8 8 8 8 7 5 2 -1 1 5 8 11 11 11 11 10 9 8 8 8 8 9 10 10 10 10 10 9 9 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 7 7 7 7 7 8 7 7 7 7 7 7 7 7 nan
nan 9 7 6 7 10 12 11 9 9 9 9 8 8 8 9 9 9 8 8 7 6 5 4 4 4 5 6 6 6 7 7 7 7 8 9 9 10 10 10 9 8 7 6 6 6 6 5 5 6 7 9 10 10 11 11 11 11 10 10 9 10 10 11 11 11 9 5 0 -2 -1 2 6 8 9 9 7 6 6 6 6 7 7 7 7 7 6 6 5 6 8 8 8 8 7 7 7 7 7 6 5 5 4 5 6 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 7 5 2 2 6 10 13 13 12 11 10 9 8 7 6 6 7 8 9 9 10 10 10 9 9 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 7 7 7 7 7 8 8 8 7 7 7 7 7 7 nan
nan 9 7 7 9 12 12 10 9 8 8 7 8 9 10 11 11 10 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 7 8 8 8 9 9 10 10 10 8 8 7 7 6 6 6 6 6 8 9 10 10 10 11 10 10 10 10 10 10 10 10 9 7 4 1 0 2 6 9 10 10 9 7 6 6 6 6 7 8 7 7 6 6 5 5 7 8 9 8 8 8 7 7 7 6 5 4 4 4 5 6 7 7 7 7 8 8 8 8 9 8 8 8 9 8 8 7 6 6 8 12 15 14 13 12 11 10 8 6 5 4 5 6 7 8 9 9 10 10 9 9 9 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 8 8 7 7 7 7 7 nan
nan 8 8 9 11 13 12 10 9 8 8 8 9 11 11 11 10 9 8 8 7 7 7 8 7 7 6 5 5 6 6 6 6 7 7 8 8 8 9 10 11 10 9 8 8 8 7 7 6 5 6 7 8 9 10 10 10 10 10 10 10 11 11 10 9 8 6 4 3 4 6 9 11 11 10 8 7 7 7 7 8 9 9 8 6 5 5 5 6 8 9 8 8 7 7 6 6 7 6 6 5 5 6 6 7 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 7 8 9 13 15 15 13 12 11 10 8 6 4 3 3 4 5 7 8 9 9 9 10 9 9 9 9 9 9 8 8 8 9 9 9 9 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 nan
nan 8 8 10 12 12 11 9 9 9 9 10 11 11 11 10 9 8 7 6 7 7 8 8 8 7 6 7 7 7 7 7 6 7 7 7 7 7 8 9 10 10 9 9 8 8 8 7 6 6 5 5 7 8 8 9 9 9 9 10 10 11 11 10 8 7 6 5 5 7 9 11 11 10 8 7 7 8 8 9 9 9 8 7 5 4 5 6 8 8 7 7 7 7 6 5 6 7 8 7 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 11 12 12 11 10 11 10 8 6 3 2 2 3 4 5 7 8 9 9 9 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 nan
nan 8 9 11 12 11 10 9 9 9 9 10 10 9 9 8 8 7 5 5 6 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 7 8 9 9 9 9 9 8 8 7 6 5 5 6 7 7 8 8 9 9 9 9 10 9 9 8 7 6 5 6 8 11 11 10 8 7 7 8 9 9 9 9 9 8 6 5 5 6 7 7 6 5 5 6 6 5 5 7 8 8 8 7 6 6 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 9 9 9 8 8 9 8 5 3 1 1 2 3 4 6 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 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 7 7 7 7 7 8 8 nan
nan 9 11 12 11 10 9 9 9 9 9 9 8 8 8 8 8 7 6 5 6 7 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 6 5 6 6 7 8 9 9 9 9 8 8 7 7 6 6 6 6 6 7 8 9 9 9 8 8 7 7 7 6 6 7 9 11 10 8 7 7 8 9 9 10 9 9 8 7 6 5 5 6 7 6 4 4 5 6 5 5 6 7 7 7 7 6 6 7 8 9 9 8 8 8 9 9 8 9 9 9 9 9 11 12 11 9 8 8 8 7 6 6 5 4 1 -1 -2 1 2 4 5 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 nan
nan 11 12 12 11 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 10 9 8 7 6 6 6 7 7 7 7 7 7 6 6 6 6 7 8 9 9 9 8 8 8 8 7 7 7 6 6 6 7 8 8 8 8 7 6 6 6 6 7 8 9 10 9 8 8 8 8 9 10 10 10 10 9 8 6 6 6 7 7 6 5 5 7 7 6 6 6 6 6 6 6 6 6 7 9 9 8 8 8 9 9 9 9 9 9 9 9 10 12 12 11 9 8 7 8 6 4 2 1 0 -2 -4 -2 1 4 5 5 6 6 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 nan
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nan 9 9 9 9 8 8 9 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 7 8 9 8 8 7 7 7 7 8 8 8 8 8 8 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 10 8 6 5 7 8 8 8 8 6 6 6 7 8 9 9 9 10 9 9 9 9 9 11 12 12 11 10 9 8 7 8 10 11 12 12 12 11 10 9 9 9 10 11 11 10 8 7 9 11 13 13 13 13 13 13 12 10 10 10 11 12 11 11 11 12 13 13 14 12 11 10 10 12 16 19 21 22 22 21 20 19 19 18 18 17 15 14 14 13 13 13 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 9 9 8 8 8 8 8 8 8 9 10 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 6 6 7 8 9 9 8 7 5 4 5 5 6 7 7 7 8 7 7 7 6 6 7 7 7 7 7 7 7 8 11 13 12 11 11 11 10 9 9 9 9 10 10 9 7 5 5 8 10 11 11 11 12 13 13 13 12 12 12 13 12 10 9 10 13 14 14 13 11 11 11 14 18 20 22 22 23 22 22 23 24 24 24 23 21 18 15 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 nan
nan 9 8 8 8 7 7 8 8 9 10 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 7 7 8 9 9 10 9 7 7 6 6 6 6 5 5 5 5 4 4 4 5 6 7 7 5 5 4 5 8 11 13 13 12 10 10 9 9 9 9 9 10 10 9 8 5 4 5 9 10 10 9 9 10 11 11 12 13 14 15 15 13 11 11 12 13 12 11 10 9 10 11 13 15 16 16 15 14 13 15 17 20 22 23 22 19 16 14 14 15 15 14 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 8 7 7 8 8 8 9 10 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 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 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 8 8 9 9 10 9 9 9 9 8 8 7 6 5 4 4 4 6 8 10 11 11 10 7 5 5 8 11 12 12 12 11 10 10 10 9 10 10 11 11 11 10 8 6 6 8 10 11 10 9 9 9 10 10 11 12 13 14 14 13 13 13 13 11 9 8 9 9 10 11 12 11 11 10 9 7 7 6 7 8 10 10 10 8 8 12 17 19 17 15 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 7 7 8 8 9 9 9 10 10 10 9 8 8 8 8 7 7 6 6 6 7 7 7 8 8 9 9 9 8 8 8 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 8 8 8 8 8 9 8 8 8 8 8 8 8 7 7 7 8 8 9 10 10 10 9 9 10 10 10 10 10 9 8 7 8 10 12 14 14 12 10 9 9 11 14 14 13 12 12 11 11 11 10 10 11 11 12 12 12 10 8 7 9 11 12 12 10 9 10 10 11 11 11 11 11 11 11 11 11 11 10 9 8 9 9 10 11 12 12 11 11 11 11 11 11 9 6 4 2 1 -0 1 5 11 16 16 13 13 13 13 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 nan
nan 8 8 9 10 9 9 9 10 10 9 8 7 7 7 7 6 6 6 6 7 7 7 8 8 9 9 9 9 8 8 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 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 8 9 10 12 12 11 10 11 11 11 11 12 12 12 10 10 10 12 13 13 12 11 11 12 15 17 17 15 13 13 13 12 12 11 11 10 11 11 11 11 10 9 8 8 10 12 13 13 12 12 12 12 12 11 10 10 9 9 9 9 9 9 9 8 8 8 8 9 11 11 12 13 14 15 16 17 18 17 15 12 10 9 7 9 13 16 16 13 12 14 15 15 15 15 14 14 14 13 13 14 14 16 16 16 15 15 15 14 14 14 13 13 nan
nan 9 9 10 10 9 8 9 9 9 8 7 7 7 7 6 6 6 6 7 7 7 7 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 7 6 6 6 7 8 9 11 12 12 10 11 11 11 11 12 12 11 10 9 10 10 11 12 11 10 11 12 15 17 17 16 14 13 13 13 12 11 11 10 10 11 10 10 9 8 7 7 8 9 11 12 12 12 12 12 11 10 10 9 9 9 9 9 9 9 9 9 8 7 7 7 8 9 10 12 13 14 16 16 17 18 19 21 21 21 21 22 24 26 27 23 20 21 22 22 21 19 18 17 16 15 15 16 18 22 23 22 19 16 16 15 14 14 14 13 13 nan
nan 10 10 10 9 8 8 9 9 8 7 7 7 7 6 7 7 7 7 7 7 7 7 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 8 7 6 5 5 4 4 5 6 7 8 9 10 9 10 11 12 11 11 11 10 8 8 8 10 11 12 12 11 10 11 12 13 14 14 14 13 13 13 12 11 10 10 10 10 10 10 9 8 7 7 8 8 9 9 10 10 11 11 10 10 9 9 9 9 10 10 10 9 9 9 9 9 8 8 9 9 9 10 11 12 13 13 12 13 14 15 18 20 22 23 25 27 28 28 26 26 27 27 27 27 26 24 22 20 19 19 20 23 26 26 23 19 16 15 14 14 14 14 13 13 nan
nan 10 10 9 8 9 9 9 8 7 7 6 6 6 7 7 8 7 7 7 7 7 7 8 9 9 8 7 7 7 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 6 5 4 3 2 3 3 4 4 4 5 5 5 6 9 11 12 11 10 9 8 7 7 9 11 12 13 12 11 10 11 11 12 13 13 13 12 12 11 10 10 9 9 10 10 9 9 8 7 7 7 8 8 8 9 9 9 9 9 9 8 8 8 9 9 10 11 11 10 10 10 9 9 10 11 12 11 11 11 10 10 11 11 10 11 11 12 13 14 16 17 18 18 18 18 19 20 21 23 24 26 27 26 25 26 27 26 25 23 21 19 18 17 17 17 16 15 15 14 14 13 nan
nan 11 10 9 9 9 9 8 8 7 6 6 6 7 8 8 7 7 7 7 7 7 8 8 8 8 7 6 6 7 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 7 5 4 4 3 3 4 5 6 6 5 4 3 3 3 5 7 8 9 8 7 7 7 6 8 10 11 11 11 11 10 10 11 11 12 12 12 11 11 10 10 9 9 9 9 9 9 9 8 7 7 7 6 6 6 7 7 7 8 8 9 9 8 8 9 10 11 11 11 10 10 10 10 10 10 11 12 13 12 11 10 10 10 10 11 10 10 10 10 11 11 11 11 10 10 10 11 12 12 13 15 16 17 19 20 23 26 28 28 26 22 19 17 18 20 22 22 21 19 16 14 13 12 nan
nan 11 10 9 9 9 8 8 7 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 7 6 5 5 6 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 10 10 9 7 6 5 5 5 6 7 8 9 9 9 8 7 6 5 5 5 5 4 2 1 2 3 4 6 8 9 9 8 7 7 8 9 10 11 11 11 10 10 10 9 9 9 8 8 8 9 9 8 8 7 6 5 4 3 4 5 4 4 6 8 9 9 9 9 10 11 11 11 10 10 10 10 10 10 11 11 11 12 12 11 11 11 12 12 11 10 10 10 10 10 9 8 8 8 9 9 10 10 10 11 11 11 11 12 14 17 19 21 21 22 22 21 20 19 20 20 19 17 15 12 11 10 10 nan
nan 9 9 8 8 8 8 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 7 6 5 5 6 7 8 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 10 10 10 10 9 8 7 7 7 8 9 10 11 11 11 11 11 10 10 9 9 8 7 5 2 -1 -2 -1 -0 2 5 7 7 6 5 5 5 5 6 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 7 5 4 3 3 4 4 4 4 5 8 10 10 9 9 10 11 12 11 11 10 10 10 11 11 11 11 11 11 11 11 12 13 14 14 12 10 9 9 9 9 9 8 8 9 9 9 10 10 10 10 11 11 11 10 10 11 13 14 14 15 17 18 18 15 11 7 5 4 5 5 6 7 8 8 nan
nan 8 8 8 8 8 8 7 7 7 7 7 7 7 6 7 7 8 8 8 8 8 7 7 6 5 5 5 7 8 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 8 9 9 11 12 13 13 14 14 13 12 11 10 10 10 10 10 9 7 5 3 2 2 1 2 3 3 3 3 5 7 7 7 7 7 6 6 6 7 8 9 9 9 9 9 9 9 9 8 6 3 1 0 1 3 5 6 7 9 11 13 13 10 7 8 10 11 11 11 10 10 11 11 11 11 11 11 11 10 10 10 11 13 14 13 10 9 8 9 9 9 8 8 9 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 11 6 1 -2 -4 -3 -1 1 4 6 7 7 nan
nan 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 5 5 5 6 7 8 9 9 9 10 11 11 11 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 12 13 14 14 14 14 14 14 12 11 10 10 10 10 10 10 9 8 8 8 7 6 5 3 2 1 2 5 7 8 8 8 7 5 4 4 5 6 7 8 9 9 10 9 9 8 6 3 2 1 1 2 5 7 10 12 15 16 15 12 8 6 8 9 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 10 11 11 10 9 10 10 11 11 9 9 8 9 9 10 10 12 12 12 11 11 11 11 11 12 12 12 11 10 10 9 8 5 1 -1 -1 1 2 3 5 6 7 8 8 nan
nan 8 8 8 8 7 7 7 6 7 7 7 7 7 7 7 7 8 8 8 8 8 7 6 5 5 5 6 7 8 9 9 9 9 11 12 12 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 13 13 13 13 12 11 11 10 11 11 12 11 11 11 10 10 10 10 10 10 9 8 7 6 5 5 5 4 3 3 5 5 5 5 6 6 6 7 8 9 9 9 8 7 5 4 4 5 7 8 8 9 11 13 15 16 15 13 10 8 8 9 9 10 10 9 9 10 10 10 9 7 7 7 8 8 8 8 9 9 9 9 10 11 12 12 11 10 10 10 10 10 10 12 13 13 12 11 11 11 11 11 11 11 11 9 8 7 5 2 -2 -3 -2 2 5 7 7 8 9 9 9 10 nan
nan 8 8 8 7 7 7 6 7 7 8 8 8 7 7 7 8 8 8 7 7 8 7 6 5 5 5 6 7 8 8 9 9 9 10 12 13 13 12 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 11 10 9 8 7 8 9 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 9 8 5 3 0 -1 1 2 4 5 6 7 7 7 7 7 7 7 6 5 5 6 7 9 10 10 9 10 12 13 13 11 10 9 9 9 10 10 11 10 9 8 8 8 9 7 5 5 5 5 6 7 7 8 8 8 8 8 8 9 10 11 11 11 11 11 11 11 11 12 13 12 12 11 11 11 10 10 10 10 9 8 7 4 1 -3 -5 -3 1 5 8 9 9 10 10 10 11 11 nan
nan 8 8 8 8 7 7 7 7 8 8 8 8 7 7 8 8 8 7 7 8 8 7 6 5 5 6 7 8 8 8 9 9 9 10 11 12 13 13 13 12 11 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 11 11 11 11 9 8 6 5 6 7 9 11 12 12 12 12 12 11 11 11 11 10 11 11 11 11 11 11 10 9 8 7 6 5 4 4 4 5 6 6 6 5 4 4 4 4 4 5 6 7 7 6 5 5 8 9 9 6 5 5 7 8 9 10 11 12 11 9 9 9 9 8 6 6 6 7 8 8 8 8 8 8 7 7 6 6 7 8 10 12 12 12 12 11 11 12 12 12 11 10 10 10 10 10 10 10 9 9 9 8 6 2 0 1 4 8 10 11 11 11 11 11 11 12 12 nan
nan 8 8 8 7 7 7 7 7 8 8 8 8 7 7 8 7 7 7 7 8 8 7 6 5 5 6 7 8 8 8 8 9 9 10 11 12 14 15 14 12 11 11 10 10 10 9 9 8 8 8 9 9 9 9 9 9 8 8 9 10 10 10 10 9 8 6 5 6 9 11 12 12 11 11 11 12 12 12 12 12 12 13 13 13 14 14 15 15 15 15 15 15 14 12 10 7 4 3 4 5 5 5 4 4 3 3 3 4 4 3 2 2 4 6 8 9 6 4 4 5 6 6 7 9 10 10 11 11 13 13 12 9 8 9 10 11 11 11 10 9 7 6 6 5 6 6 7 10 12 13 12 12 12 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 13 14 14 13 12 12 12 12 11 11 12 12 nan
nan 8 7 7 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 7 6 5 5 6 7 7 8 8 8 9 9 9 10 12 14 15 13 12 11 11 11 11 10 9 9 8 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 8 7 6 8 10 13 14 13 11 10 10 10 10 11 12 13 14 15 16 17 17 18 18 20 21 21 20 19 19 18 17 14 11 7 5 4 3 4 6 7 7 6 5 4 4 4 4 4 7 10 12 13 11 8 6 7 8 9 9 9 9 9 10 12 14 15 13 9 7 7 8 9 10 11 11 9 7 4 3 4 5 6 7 9 12 14 13 12 12 11 10 10 10 10 11 10 10 10 9 9 9 10 10 10 10 10 12 14 17 19 18 16 14 12 11 11 11 11 11 11 11 12 nan
nan 7 6 6 6 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 6 5 5 6 7 7 8 8 9 9 9 9 10 12 13 14 12 11 10 11 11 10 9 8 8 9 9 9 10 10 9 9 9 8 8 8 8 8 8 8 7 6 6 7 9 11 12 12 11 10 9 9 9 9 10 11 12 14 15 17 18 19 20 21 22 22 22 21 21 20 19 18 17 14 12 10 8 6 7 8 9 9 8 8 7 7 7 7 9 12 14 14 13 9 8 8 10 11 13 13 13 12 11 12 13 13 11 7 5 5 6 6 6 7 8 7 5 3 2 3 5 7 8 9 11 13 14 13 12 11 10 10 10 10 10 11 11 11 10 10 9 10 10 10 10 10 11 13 16 17 16 12 10 8 9 10 11 11 11 11 11 12 12 nan
nan 6 5 6 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 5 5 5 6 7 7 8 8 9 9 9 9 10 12 14 14 13 12 11 11 11 9 9 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 6 6 6 7 8 9 9 9 9 9 9 8 9 9 9 10 10 12 14 16 17 17 18 18 18 18 19 20 21 20 19 19 18 18 16 15 15 15 15 14 13 11 10 9 9 8 8 8 9 10 10 9 6 6 7 9 11 13 14 14 13 12 11 11 10 8 5 3 4 6 7 7 7 7 6 4 3 4 5 8 10 10 11 11 12 13 13 12 12 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 14 14 12 8 5 4 6 9 11 11 11 11 12 12 12 12 nan
nan 5 6 7 7 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 8 8 6 5 4 5 6 7 7 8 8 9 9 9 10 11 13 15 15 15 14 12 11 11 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 7 7 7 7 8 9 9 8 8 7 7 7 8 8 8 9 9 10 12 14 15 16 16 15 15 15 15 16 16 17 17 17 17 17 17 17 18 19 20 21 18 15 12 10 9 8 8 8 8 8 7 6 5 4 5 8 10 13 13 13 13 11 10 9 8 6 4 3 4 6 8 9 9 9 8 7 6 8 10 12 14 13 12 12 13 13 12 11 11 11 10 9 9 8 9 9 9 10 10 10 10 10 10 10 10 10 10 12 12 12 9 7 7 7 10 12 12 12 12 12 12 12 12 12 nan
nan 5 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 6 5 4 4 5 7 7 8 8 9 9 9 10 12 15 17 17 16 14 12 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 8 7 5 5 6 7 8 8 9 10 12 14 16 16 16 15 14 14 14 14 14 13 12 12 12 13 13 13 14 15 16 18 17 14 12 10 9 9 8 8 8 8 8 8 8 7 7 8 10 12 12 12 11 11 9 9 9 9 9 7 7 8 9 10 10 11 12 12 13 14 16 18 19 18 16 14 13 12 11 10 10 11 11 10 9 8 8 8 9 9 10 10 11 11 10 10 10 10 10 10 11 11 10 10 11 12 13 14 13 12 13 13 13 13 13 13 13 nan
nan 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 6 5 4 4 5 7 7 8 8 9 9 10 11 14 17 18 18 16 13 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 5 3 3 4 5 6 8 10 12 14 16 17 16 15 13 13 13 13 13 12 11 10 10 11 10 9 8 8 8 10 10 10 9 8 8 8 8 7 8 8 8 8 8 8 6 6 7 8 9 9 9 9 9 9 9 10 12 13 13 13 13 13 12 13 14 16 17 19 20 20 20 19 17 16 14 13 11 10 10 11 12 11 10 9 8 8 9 9 9 10 10 11 10 10 10 10 10 11 11 11 11 11 12 14 15 16 15 14 13 13 13 13 13 13 13 13 nan
nan 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 7 6 5 4 5 6 7 7 8 9 9 9 10 13 17 20 19 17 14 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 6 4 3 3 4 5 6 8 11 14 15 16 16 14 13 13 13 13 13 12 10 10 10 10 10 8 6 4 3 4 6 6 6 5 5 5 5 5 5 6 6 6 4 2 0 -1 -0 1 1 1 2 4 6 8 10 12 14 15 15 16 16 16 16 16 17 18 19 20 19 18 16 15 14 13 12 12 11 10 10 10 11 12 11 11 10 9 9 9 9 10 10 10 10 9 9 10 10 11 11 11 11 11 11 12 13 13 15 15 14 14 13 13 13 13 13 13 13 nan
nan 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 5 5 6 7 7 8 9 9 10 12 15 19 20 18 14 11 11 12 12 12 11 10 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 5 3 3 3 4 5 7 10 13 15 15 15 14 13 13 13 13 13 12 10 9 9 9 10 8 7 5 5 6 7 7 6 6 5 3 2 2 2 2 2 1 -0 -2 -3 -4 -3 -3 -2 -3 -4 -3 -1 2 5 8 11 13 14 14 15 16 16 17 17 18 18 18 17 15 13 11 10 10 10 10 10 10 10 10 10 12 12 12 11 11 10 10 9 10 10 10 10 10 9 10 10 10 11 11 11 11 11 11 11 11 13 15 15 15 15 14 13 13 13 13 12 12 nan
nan 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 5 5 6 7 7 8 9 9 10 12 15 18 17 13 11 11 12 14 14 12 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 7 4 3 2 3 5 6 9 11 15 16 16 15 14 14 13 13 12 11 10 9 9 9 9 9 9 9 10 12 13 13 11 10 8 7 5 4 3 3 2 1 -0 -1 -1 0 2 4 4 4 2 1 1 1 2 3 4 5 7 10 12 13 13 13 14 14 14 14 14 13 11 10 9 9 9 9 9 10 9 9 10 11 12 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 13 15 15 15 15 14 12 12 12 12 12 12 nan
nan 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 6 5 5 6 7 7 8 9 10 11 12 15 16 14 11 11 13 14 14 12 10 8 8 9 9 9 9 10 11 11 11 10 9 9 8 7 7 7 8 9 9 9 9 9 8 6 3 2 2 3 5 6 9 12 17 19 17 16 15 14 14 12 11 10 8 8 8 9 10 10 11 13 15 16 16 16 15 13 12 11 10 9 9 9 8 7 6 6 7 9 10 11 11 11 11 11 10 10 8 6 4 4 7 10 13 13 12 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 10 11 12 13 13 12 12 11 11 10 10 9 10 10 11 11 11 11 11 11 11 12 13 13 13 13 13 14 14 14 15 15 14 13 13 12 13 13 13 nan
nan 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 6 6 6 6 7 8 9 9 10 10 12 13 14 14 14 15 15 14 11 9 7 7 8 9 10 10 10 10 11 11 9 8 8 7 6 5 5 6 7 9 10 10 9 9 7 5 2 1 2 4 5 7 9 15 21 21 20 18 16 15 13 11 10 8 8 8 9 10 10 11 12 13 14 14 15 15 15 15 15 14 14 13 14 14 14 13 13 13 14 14 14 14 15 15 16 17 16 15 13 12 10 11 14 15 14 11 10 9 9 9 10 11 11 11 10 9 9 9 9 9 9 9 9 9 10 11 12 12 12 12 12 12 11 10 9 9 10 11 11 12 11 11 11 11 12 13 14 14 14 14 14 14 13 15 16 16 16 17 17 18 18 17 15 nan
nan 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 6 7 7 8 9 9 10 11 13 14 15 16 17 15 12 9 7 6 7 9 10 11 11 11 11 10 9 9 9 8 7 6 5 6 7 9 10 10 10 9 8 6 3 1 1 3 4 6 7 11 18 23 23 22 19 15 13 11 9 9 9 9 10 10 11 11 11 11 11 11 11 12 13 14 15 16 17 17 17 18 18 18 18 17 17 17 17 17 18 19 20 21 20 19 17 16 15 15 16 15 14 11 8 7 7 7 9 11 11 11 10 10 9 9 9 9 9 9 9 9 10 11 11 12 12 11 11 12 12 11 10 9 9 10 10 11 11 11 11 11 12 13 14 15 15 15 15 14 13 13 14 15 17 20 23 25 26 25 23 21 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 6 6 6 7 8 9 9 10 11 12 14 16 17 17 13 11 9 8 8 9 10 12 13 12 11 10 10 10 11 11 10 8 7 8 9 10 10 11 10 9 8 6 4 1 0 1 4 6 7 8 12 19 22 23 20 16 11 9 9 8 9 10 11 11 11 11 11 11 10 9 9 9 9 10 11 13 15 17 18 20 21 21 21 20 20 20 20 21 22 23 23 23 23 21 18 16 15 15 15 16 15 13 10 8 7 7 9 11 12 12 11 10 9 9 9 9 10 9 9 9 9 10 11 11 11 10 9 11 12 12 11 10 10 9 10 10 10 11 11 12 12 14 15 15 15 15 15 14 13 13 12 13 13 15 20 25 28 28 27 28 28 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 6 6 6 7 8 8 9 9 10 12 14 17 18 15 13 11 10 10 9 9 10 11 12 12 11 10 11 12 13 12 10 8 9 10 10 11 11 11 10 8 6 4 1 0 1 3 6 7 8 10 14 19 20 19 14 9 8 8 9 10 11 11 11 11 11 11 11 10 9 9 9 9 9 10 11 12 13 14 15 17 18 18 19 19 19 20 21 23 24 23 22 22 20 18 16 15 15 15 16 18 19 17 14 11 10 11 13 13 13 12 10 10 9 9 9 9 9 9 9 9 10 10 11 11 9 8 9 11 13 13 12 11 10 10 10 10 10 11 11 12 13 15 15 15 14 14 14 13 12 11 10 10 11 13 16 19 20 21 23 26 29 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
37 35 36 39 40 34 22 8 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 2 3 4 7 9 8 11 15 18 20 20 18 14 12 10 10 11 15 23 32 44 58 70 79 89 103 125 156 184 202 245 283 283 272
46 56 67 74 74 61 31 8 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 3 5 8 9 6 4 3 2 1 1 1 1 3 7 17 27 35 43 51 58 65 74 84 88 99 119 129 135
91 118 132 128 109 75 30 7 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 1 1 0 0 0 0 0 0 0 0 0 0 3 7 12 14 18 25 30 35 42 47 54 63 70 76
202 203 183 150 108 57 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 9 11 14 18 25 31 37 42
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309 239 159 81 26 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6
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