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 9 9 9 9 9 9 10 10 9 9 8 8 7 7 7 6 6 6 6 6 6 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 8 9 8 6 6 7 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 9 9 9 8 7 8 8 8 6 2 -3 -7 -6 -1 4 5 6 5 5 6 6 6 7 7 7 7 7 7 8 8 8 8 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 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 6 5 5 5 5 5 5 6 6 6 6 7 7 8 8 8 7 5 4 3 2 2 3 3 4 4 4 5 5 6 6 6 5 4 3 3 2 3 3 4 7 10 12 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 7 7 6 6 6 7 6 6 6 7 7 7 8 8 8 8 8 8 8 6 5 5 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 7 4 -1 -6 -7 -4 1 4 5 5 6 6 6 6 6 6 7 7 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 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 7 7 7 6 6 5 5 5 5 5 5 5 6 6 7 8 8 9 8 7 6 5 5 4 4 4 4 4 4 4 4 5 5 5 6 6 6 5 4 3 2 2 2 3 4 nan
nan 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 5 5 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 5 4 5 6 6 6 7 7 7 7 8 8 6 4 5 6 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 8 7 6 2 -3 -8 -6 -2 2 4 5 5 5 5 5 6 6 6 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 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 6 6 7 8 8 8 7 7 6 6 6 5 4 4 4 4 5 5 5 5 5 6 6 6 6 6 5 4 3 3 3 nan
nan 7 7 8 8 8 8 7 7 6 6 6 6 7 7 7 6 6 5 5 6 7 7 7 6 6 6 6 6 6 5 6 7 7 7 7 7 7 7 5 5 6 6 6 6 6 6 6 7 8 7 5 4 5 6 7 7 7 6 6 6 7 7 8 8 8 9 9 7 5 5 6 7 7 7 6 6 6 7 7 7 5 -0 -5 -6 -4 -1 1 3 4 4 5 5 5 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 8 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 6 6 6 5 5 5 5 5 6 7 7 8 7 7 7 7 7 6 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 6 5 5 nan
nan 7 7 8 8 7 7 7 7 7 7 7 7 8 8 8 7 6 6 6 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 5 4 4 6 7 6 6 6 6 7 7 8 8 8 8 9 8 7 5 5 6 7 7 7 7 6 5 5 6 7 6 3 -1 -4 -5 -5 -2 1 2 3 3 4 5 5 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 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 5 5 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 6 6 6 7 7 7 7 7 nan
nan 8 8 8 7 7 6 6 7 7 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 8 8 8 9 10 10 9 9 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 6 5 4 5 5 5 5 6 7 7 7 7 8 7 8 8 8 7 5 6 7 7 8 8 8 7 6 6 7 7 7 6 4 0 -3 -5 -4 -2 -0 1 2 2 3 4 5 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 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 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 6 6 7 7 7 8 nan
nan 9 9 8 7 6 6 7 7 8 8 9 8 7 5 6 7 8 9 9 8 8 8 9 10 11 11 10 11 11 11 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 9 8 8 7 6 5 4 4 4 5 6 7 7 8 7 7 7 8 8 9 9 7 6 6 7 7 7 8 8 7 7 7 7 7 8 8 6 4 1 -2 -4 -4 -2 -1 -0 0 1 3 5 6 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 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 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 6 7 7 nan
nan 10 9 8 7 7 7 8 8 8 8 8 7 6 6 6 7 8 9 9 10 10 10 10 11 12 12 11 11 10 10 10 10 10 11 11 11 10 9 9 9 9 9 8 8 8 9 10 10 8 7 6 5 5 5 6 6 7 7 8 8 7 7 7 8 9 9 9 8 7 6 6 6 7 7 7 7 7 7 7 7 8 8 7 6 5 3 0 -1 -2 -2 -2 -2 -1 0 3 5 6 7 7 7 7 7 6 6 6 7 7 7 7 7 6 6 6 6 6 7 7 7 8 7 8 8 8 8 8 8 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 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 5 5 5 5 5 6 6 nan
nan 9 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 7 8 9 10 10 10 9 9 10 10 10 9 8 8 8 9 9 10 11 11 10 9 9 10 10 10 9 8 9 10 11 11 9 7 6 6 7 8 9 8 8 7 8 9 8 7 7 8 8 8 8 8 7 6 5 6 6 7 7 7 6 6 7 7 7 8 7 6 6 5 4 3 2 0 -1 -4 -5 -3 0 3 5 6 7 7 7 6 6 6 6 6 7 7 7 7 7 6 6 6 7 7 7 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 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 5 5 5 5 nan
nan 6 7 7 8 8 8 8 8 7 7 7 6 6 6 6 6 6 7 9 9 9 9 7 7 7 8 8 8 8 7 7 7 8 9 9 9 9 8 8 9 9 9 8 7 8 9 10 10 9 8 8 8 8 9 10 9 8 8 9 9 8 8 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 6 7 8 8 7 6 6 7 6 5 4 1 -3 -6 -5 -3 1 3 5 6 7 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 7 7 7 7 7 7 7 7 7 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 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 nan
nan 5 6 7 8 8 7 7 7 7 7 6 6 6 6 6 6 7 8 9 9 9 8 7 7 7 7 7 7 8 7 7 7 8 9 9 8 7 7 7 7 8 8 7 7 7 8 8 9 8 8 8 8 8 9 9 8 8 8 9 9 9 8 7 7 7 6 6 6 7 7 7 6 6 7 7 7 7 7 7 6 7 8 9 8 7 7 8 7 7 6 4 0 -3 -4 -4 -2 0 2 4 5 6 5 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 7 7 7 7 7 7 7 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 8 8 8 8 8 7 8 8 8 8 8 8 8 7 7 nan
nan 6 7 7 8 8 7 7 6 7 7 6 7 6 6 6 6 7 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 9 8 8 8 8 8 7 7 7 8 7 7 7 7 7 7 7 8 8 7 7 7 9 9 8 8 8 8 8 7 6 5 4 2 -0 -2 -4 -3 -1 2 4 4 5 5 5 6 6 6 6 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 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 8 8 8 8 8 8 8 8 8 8 9 9 8 8 nan
nan 7 7 8 8 7 7 7 7 7 7 6 7 6 6 6 7 9 10 10 9 8 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 7 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 8 7 8 9 9 8 8 8 8 8 7 6 6 6 6 4 1 -2 -4 -3 -1 0 2 4 5 5 6 6 6 6 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 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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 nan
nan 9 8 8 7 7 7 7 7 7 6 6 6 6 6 7 8 10 11 10 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 8 8 7 7 8 8 8 8 8 7 7 8 8 7 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 10 9 7 6 8 9 9 8 8 7 7 8 7 6 6 7 7 6 5 3 -0 -3 -4 -4 -1 2 4 5 6 6 6 6 7 7 7 6 7 7 7 7 7 8 8 7 8 8 8 8 8 8 8 7 7 7 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 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 8 nan
nan 10 9 8 7 7 8 8 8 7 6 6 6 6 6 7 9 10 10 8 8 7 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 8 8 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 6 8 9 10 10 10 10 10 8 7 6 8 9 9 9 8 7 8 8 8 7 7 7 7 7 7 6 4 -0 -5 -7 -5 0 4 5 5 6 6 6 7 7 7 6 6 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 9 9 9 8 nan
nan 10 9 8 8 8 7 7 7 6 6 6 6 6 7 8 9 10 9 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 8 8 9 9 8 8 8 7 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 6 7 8 9 9 9 10 9 9 8 7 7 8 9 9 8 8 8 9 9 8 8 7 6 6 7 7 8 7 3 -4 -8 -7 -2 2 4 5 6 6 7 7 7 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 8 8 8 8 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 9 9 9 10 10 10 11 11 11 11 10 10 9 9 9 nan
nan 9 9 8 8 7 7 7 7 6 6 6 6 6 6 8 9 9 8 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 8 8 7 7 8 8 8 8 8 8 7 7 8 9 9 8 8 8 8 8 7 7 8 8 9 9 8 8 8 9 9 8 8 7 6 6 7 7 8 8 5 -1 -6 -7 -3 2 4 5 6 6 7 7 6 6 6 6 6 7 7 7 7 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 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 10 10 11 11 10 10 10 9 9 nan
nan 8 8 8 8 7 7 7 7 6 6 6 6 6 6 8 10 10 9 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 7 6 7 8 9 9 8 8 7 7 7 8 8 9 8 8 8 8 8 9 9 8 8 7 7 6 6 7 8 8 8 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 2 -3 -5 -2 2 3 5 6 7 7 7 6 6 6 6 6 6 7 6 6 6 6 6 6 6 7 7 6 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 8 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 9 10 10 10 10 9 9 8 nan
nan 8 9 9 8 7 7 7 7 7 6 6 7 6 7 8 10 10 9 8 8 7 7 7 7 7 7 8 8 8 8 7 6 6 7 8 8 8 7 7 7 6 6 7 7 8 8 8 8 8 8 7 6 7 8 9 9 8 7 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 7 6 6 7 7 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 4 1 -0 1 2 4 5 7 9 8 7 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 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 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 9 9 9 9 8 8 nan
nan 8 10 9 9 8 8 8 7 7 7 7 7 7 8 9 10 10 9 8 8 7 7 7 7 7 7 8 9 9 9 8 7 7 7 7 8 8 8 8 7 7 6 6 6 7 7 7 8 8 7 7 6 7 8 9 8 8 7 7 7 7 8 8 9 9 9 9 9 8 8 8 9 8 8 7 6 6 7 7 8 8 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 5 4 4 4 4 5 7 10 12 10 7 4 3 3 5 6 6 6 6 6 6 6 6 6 6 6 6 6 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 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 7 7 8 9 9 9 8 7 7 nan
nan 9 10 10 9 8 8 7 7 7 7 8 8 8 8 9 10 10 8 8 8 8 7 7 7 7 8 8 9 9 9 8 8 7 7 8 8 9 9 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 6 6 6 7 7 8 9 9 8 7 7 7 7 7 7 7 7 7 8 8 9 8 7 6 6 6 6 6 7 9 12 13 10 6 2 -0 1 4 5 6 6 6 6 6 6 7 6 6 6 6 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 9 9 9 8 8 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 8 8 9 9 8 7 6 nan
nan 10 10 10 9 8 7 7 7 7 7 8 8 7 8 9 10 10 8 8 8 8 8 8 8 7 8 8 9 9 9 9 8 8 8 8 9 9 9 9 8 7 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 6 6 7 7 8 9 9 8 7 7 6 7 7 7 7 7 8 8 8 7 6 6 7 7 7 7 8 9 11 11 8 4 -0 -2 1 3 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 8 8 9 9 9 8 7 nan
nan 9 10 10 9 8 7 7 7 7 7 8 8 8 8 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 10 9 9 8 8 8 7 6 6 7 8 8 8 8 9 9 9 9 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 5 6 6 8 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 7 6 6 7 7 8 8 8 8 9 9 7 4 0 0 2 4 4 4 5 6 6 6 6 7 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 8 9 9 9 8 8 nan
nan 9 10 10 9 8 7 7 7 7 7 7 7 8 9 10 10 9 9 8 8 8 8 8 9 9 9 8 7 7 8 9 9 8 8 8 7 8 9 10 11 10 9 8 7 7 7 7 8 9 10 10 10 9 9 9 8 8 9 10 10 9 8 7 7 7 7 7 8 7 7 8 8 8 7 7 6 5 5 6 7 8 9 9 8 8 7 7 7 7 7 8 8 8 8 8 7 7 6 7 7 8 8 8 8 8 8 8 7 5 4 5 5 5 4 4 5 6 6 7 7 7 7 6 6 6 6 6 6 7 7 7 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 9 9 9 9 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 9 8 8 nan
nan 10 10 10 9 9 8 8 7 7 7 7 7 8 9 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 6 6 6 8 10 11 11 10 9 8 8 8 7 8 9 10 10 10 10 9 8 8 8 9 10 10 10 9 8 8 7 7 7 7 7 7 9 9 9 7 6 5 4 5 7 8 9 9 9 8 8 7 7 7 7 8 8 8 9 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 7 6 5 5 5 6 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 nan
nan 9 10 9 9 9 8 8 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 6 6 5 6 8 9 10 10 9 8 9 8 8 9 10 10 10 9 9 8 8 8 9 10 10 10 10 10 10 10 9 8 8 7 7 9 10 10 9 8 6 5 4 5 7 9 9 9 8 8 8 7 7 7 8 8 9 9 9 8 7 6 6 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 6 6 7 7 8 8 8 8 7 7 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 7 8 8 9 9 8 8 8 nan
nan 9 9 9 9 9 9 7 7 6 6 7 8 8 8 8 8 9 9 8 8 8 7 7 7 7 7 8 9 9 9 10 10 9 8 8 7 5 5 6 7 8 8 8 8 8 8 9 10 10 10 9 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 8 8 9 10 10 10 9 8 6 4 4 6 8 9 9 9 8 8 7 7 7 7 8 8 9 9 9 8 7 6 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 8 7 8 9 11 12 12 10 9 7 6 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 nan
nan 9 9 9 9 9 9 7 7 7 7 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 10 11 11 10 9 8 7 5 5 5 5 6 6 6 6 7 8 9 11 10 9 8 8 8 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 10 9 8 9 8 6 4 5 8 9 9 9 8 8 8 7 6 6 6 7 8 9 9 8 8 7 7 8 8 8 8 8 8 8 7 7 7 6 7 7 7 7 8 8 8 8 8 9 10 13 16 17 16 14 10 6 5 6 7 7 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 nan
nan 10 10 9 9 9 9 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 9 10 11 12 11 11 10 8 7 6 5 5 5 5 5 5 6 7 9 10 10 9 9 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 7 7 7 7 6 5 7 9 9 9 8 8 8 7 7 7 6 7 8 8 8 7 7 7 8 8 9 9 8 8 8 7 7 7 7 7 6 7 7 7 7 7 7 7 8 9 10 12 15 17 18 16 11 5 1 3 6 7 7 8 8 7 7 7 7 7 7 7 7 7 6 6 6 5 6 6 6 7 7 7 8 8 8 9 9 8 8 8 9 9 8 8 8 8 7 7 8 8 8 8 8 7 7 8 8 8 8 7 7 7 7 7 8 8 8 nan
nan 11 11 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 6 6 7 7 8 8 8 8 8 9 10 10 11 12 12 11 10 9 8 7 6 6 6 6 6 7 7 8 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 9 10 10 10 9 9 7 6 5 5 5 6 8 10 10 10 9 8 8 8 7 7 7 8 8 8 8 8 7 7 7 8 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 7 7 7 8 8 9 11 12 13 12 7 0 -6 -4 2 5 7 8 8 8 8 7 8 8 8 8 7 7 7 6 6 5 5 6 6 6 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 nan
nan 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 8 8 8 8 9 9 9 10 11 12 12 11 10 9 8 8 7 8 8 8 8 8 8 8 9 10 11 11 11 10 9 9 8 8 7 7 8 9 10 11 11 10 9 7 5 4 3 4 6 8 9 10 10 10 9 9 8 7 6 7 8 9 9 9 8 7 7 7 7 8 8 9 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 9 9 9 6 -1 -9 -11 -5 2 6 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 5 5 6 6 6 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 10 10 9 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 8 8 8 8 8 8 9 9 10 11 11 11 11 10 9 8 9 8 8 8 8 8 8 9 10 10 11 11 11 10 9 8 7 7 8 8 9 9 10 10 9 6 4 2 2 3 6 9 10 10 9 9 8 8 8 8 7 6 7 9 10 10 9 7 7 7 7 7 8 8 8 7 8 8 8 8 8 8 8 8 8 9 8 8 8 8 7 7 7 8 8 8 8 7 3 -4 -10 -8 -1 6 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 6 5 5 6 6 7 7 7 8 8 8 8 9 9 8 8 8 8 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 nan
nan 10 10 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 8 7 7 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 10 11 11 10 9 9 9 9 8 7 7 8 8 8 9 9 9 10 10 10 9 9 9 9 9 8 9 9 9 7 4 1 0 1 5 10 13 13 11 9 7 7 7 7 7 7 7 8 9 10 10 9 8 8 8 8 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 7 5 0 -5 -6 0 8 13 13 12 10 9 9 9 9 9 9 8 8 7 7 6 6 5 5 6 6 6 7 7 8 8 8 8 8 8 8 8 8 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 8 nan
nan 11 10 9 8 8 9 9 9 9 9 9 9 9 8 8 8 9 10 10 9 8 8 7 6 6 6 6 6 7 7 8 8 9 9 9 9 9 10 11 11 10 9 9 9 9 8 8 7 7 7 7 8 8 8 8 9 10 11 11 10 9 8 8 8 8 7 5 3 1 2 5 10 14 16 15 12 9 7 6 6 7 7 8 9 9 8 8 8 9 9 9 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 5 2 1 5 13 19 20 17 14 12 10 10 9 9 9 9 8 7 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 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 nan
nan 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 9 8 7 7 6 6 6 7 7 7 7 8 8 8 9 9 10 10 10 10 9 9 8 8 8 9 9 8 7 6 7 8 8 7 6 7 9 10 11 11 10 9 8 8 8 7 6 4 4 6 10 13 16 16 14 11 9 8 8 8 8 8 9 9 8 7 7 7 9 10 9 7 6 6 7 7 7 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 10 16 21 23 21 17 15 13 11 9 8 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 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 10 10 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 9 8 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 10 10 9 7 6 7 9 9 7 6 6 7 9 9 10 10 9 8 8 8 7 6 6 6 8 11 13 14 12 10 9 9 10 10 10 10 9 8 8 7 7 6 7 8 8 7 6 5 6 8 8 8 8 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 9 8 7 7 7 8 10 13 16 17 16 15 14 14 12 9 6 5 7 8 7 7 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 nan
nan 8 8 9 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 9 8 8 7 9 10 11 10 8 7 8 10 10 9 7 6 5 6 7 8 9 8 8 7 7 7 6 6 7 9 10 11 10 9 8 9 10 11 11 11 10 8 8 7 7 7 7 7 7 6 6 5 6 7 8 8 8 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 9 9 8 7 7 8 9 10 11 10 9 9 9 9 7 4 1 3 6 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 11 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 8 7 7 8 9 8 7 7 8 9 10 10 9 9 9 10 11 11 9 7 4 3 5 7 8 8 7 6 6 6 6 6 7 9 9 9 8 8 9 10 12 11 11 10 9 8 7 7 7 8 8 7 6 6 5 5 6 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 9 9 8 7 5 3 1 0 -1 -4 -4 1 5 6 7 7 7 7 7 6 6 6 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 9 9 9 10 10 10 11 11 11 11 nan
nan 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 9 8 8 9 8 7 6 6 6 7 8 9 9 9 9 9 10 11 10 8 5 3 5 6 8 8 8 7 7 7 6 6 7 8 9 9 8 8 9 10 11 11 10 10 9 8 7 7 8 8 8 7 6 5 5 6 7 7 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 9 9 7 3 -1 -5 -8 -9 -10 -11 -5 1 5 7 8 8 7 7 7 7 7 7 7 7 7 7 7 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 9 9 10 10 10 10 11 11 11 nan
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nan 7 7 7 8 8 9 9 9 8 8 7 6 6 6 7 8 8 9 9 9 10 10 10 10 9 9 9 10 10 10 11 11 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 8 8 8 8 9 9 9 9 10 10 8 6 5 4 5 6 7 8 8 9 9 9 9 9 9 10 9 8 8 9 9 9 8 8 8 7 7 8 10 11 11 11 11 11 11 11 11 11 12 12 12 11 10 9 9 9 11 12 13 15 16 17 18 18 17 15 13 12 11 11 11 11 12 12 12 11 11 11 12 14 18 21 23 26 26 25 24 22 20 20 18 17 15 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 7 7 8 8 9 9 9 8 8 7 6 6 6 7 7 8 9 9 9 9 10 10 10 10 10 9 9 9 9 10 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 10 10 10 10 9 8 8 8 8 8 8 9 9 9 9 8 6 5 5 4 5 5 5 6 5 5 5 6 7 7 7 7 6 5 5 5 6 6 6 6 6 7 8 11 12 12 11 11 11 12 12 12 11 11 11 10 9 9 7 7 8 9 10 11 13 15 17 18 19 17 15 13 11 10 9 8 9 10 12 12 11 11 12 14 17 22 25 27 28 28 28 28 29 30 29 28 26 24 20 16 13 12 12 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 nan
nan 8 8 8 9 9 9 9 8 7 7 6 6 7 7 8 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 11 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 10 10 9 7 6 6 6 6 6 5 5 4 3 2 2 3 4 5 5 4 4 4 5 6 6 5 4 3 5 7 10 12 13 12 11 11 11 11 11 11 11 10 10 9 8 7 7 7 8 10 11 12 13 14 14 14 14 13 12 11 10 9 9 9 9 10 10 9 9 10 10 12 14 17 19 20 18 16 15 16 20 23 26 27 27 24 19 16 15 15 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 nan
nan 8 8 9 9 9 8 8 8 7 6 6 7 7 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 8 8 9 10 10 10 8 7 8 8 8 7 6 5 5 4 4 4 5 5 5 5 5 6 7 9 10 10 9 7 5 5 7 9 11 11 11 11 10 11 11 11 11 11 11 11 10 9 9 8 9 10 12 12 12 12 13 12 11 10 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 11 11 11 10 8 5 3 2 2 5 8 11 12 10 10 12 16 18 16 14 12 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 8 7 7 8 9 8 7 6 6 6 7 8 9 10 9 8 7 7 9 11 13 13 12 10 9 9 11 12 12 12 11 10 10 10 10 10 10 11 11 11 11 11 10 10 11 13 14 15 15 13 12 12 11 10 9 8 8 7 7 7 8 8 9 9 8 8 8 9 10 11 11 11 10 10 10 10 10 8 4 -0 -2 -3 -3 -4 -2 2 7 13 14 12 11 11 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 11 nan
nan 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 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 10 10 11 11 10 9 7 7 8 8 9 8 7 7 7 9 10 11 12 12 11 9 8 9 10 11 12 12 11 11 13 14 16 15 13 12 11 11 10 10 10 10 9 9 10 10 10 10 10 11 12 14 16 16 14 12 11 10 9 9 8 7 7 7 6 7 7 8 8 8 9 9 8 8 9 10 11 12 12 12 14 16 18 19 19 15 12 9 7 5 7 10 13 13 11 11 13 14 14 14 14 14 13 13 13 13 12 13 15 16 15 14 14 13 13 13 12 12 12 nan
nan 7 8 8 8 7 6 7 7 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 10 10 10 8 7 6 6 7 8 8 9 8 7 7 8 9 10 11 12 12 10 9 8 8 9 10 11 11 11 12 13 14 15 15 13 12 11 11 11 10 10 10 9 9 9 9 10 10 11 11 12 12 13 13 12 11 9 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 9 10 12 13 13 15 16 19 21 25 27 28 27 26 26 28 29 29 26 22 22 23 23 22 20 19 17 16 15 14 15 18 22 24 22 19 16 15 14 14 13 13 12 12 nan
nan 7 7 8 7 6 6 7 8 9 10 10 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 7 5 2 -2 -3 -2 1 4 5 5 5 5 5 7 9 10 11 11 10 9 8 7 7 9 11 13 13 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 9 10 10 10 11 11 12 12 12 11 10 9 7 7 6 6 6 6 7 7 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 10 12 13 13 13 13 14 17 20 24 28 30 30 32 34 36 34 32 31 31 31 31 31 29 27 24 22 20 20 21 24 27 27 23 19 16 14 13 13 13 13 13 12 nan
nan 8 8 7 7 6 7 7 8 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 8 9 10 12 12 12 11 11 10 10 10 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 6 3 -1 -5 -9 -11 -10 -6 -3 -2 -2 -2 -2 -0 3 7 10 11 10 10 9 7 7 7 9 12 14 14 14 12 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 11 12 11 11 9 8 7 6 5 5 6 6 7 7 8 9 9 9 10 10 10 10 10 10 10 10 11 12 12 12 12 12 12 13 13 13 13 13 13 14 16 18 20 22 23 23 23 22 22 23 24 26 27 29 30 29 28 29 29 29 27 25 22 19 18 17 18 17 15 15 14 13 13 13 nan
nan 8 8 8 7 7 7 7 7 8 9 10 11 11 11 11 11 11 11 10 10 10 10 10 10 8 5 3 3 7 11 12 13 13 12 12 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 9 4 -1 -6 -9 -10 -10 -8 -5 -1 -0 -1 -3 -4 -2 0 3 6 8 8 6 6 6 6 6 8 11 13 14 13 12 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 10 9 7 6 5 5 5 5 6 7 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 14 14 13 13 14 13 13 13 12 12 12 12 12 12 13 12 11 11 11 12 13 15 17 19 20 23 26 30 32 32 30 25 21 18 19 22 24 24 23 20 16 14 13 12 nan
nan 8 8 8 8 8 8 8 7 7 8 9 10 10 11 11 11 11 11 11 11 11 10 10 7 3 -1 -3 -0 6 10 12 13 15 15 14 12 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 9 10 9 5 -1 -6 -8 -8 -6 -3 0 3 5 5 4 3 3 3 4 4 4 2 -1 -1 -0 1 3 5 8 10 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 10 10 11 11 11 10 9 7 6 4 4 4 4 4 4 6 8 9 10 10 10 10 10 10 10 9 9 9 10 10 10 10 11 12 13 14 15 15 15 15 14 13 12 12 11 10 10 9 9 9 8 8 7 8 8 8 9 10 10 11 12 15 19 22 24 25 26 26 25 23 22 23 22 21 19 16 13 11 10 10 nan
nan 8 8 8 9 9 9 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 10 9 4 -2 -4 -3 1 7 9 11 14 16 17 15 14 13 12 11 11 10 10 10 9 9 9 8 8 9 9 10 10 10 11 11 11 10 10 9 9 7 3 -0 -2 -2 0 3 4 6 7 8 7 7 6 7 7 6 5 2 -2 -5 -6 -5 -3 -0 4 6 7 7 7 7 8 8 9 9 10 10 10 10 11 10 10 10 10 10 11 11 11 10 8 6 4 4 4 4 4 5 5 5 6 8 10 10 10 9 10 10 10 9 9 9 9 9 10 10 10 11 11 11 12 14 15 16 16 16 14 12 11 10 9 8 8 8 8 8 8 8 7 8 8 9 9 10 10 10 10 11 13 14 15 17 19 21 21 18 12 7 4 3 4 5 6 7 8 8 nan
nan 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 11 11 11 10 9 6 0 -4 -3 1 5 8 9 10 12 14 16 16 16 15 13 12 11 11 10 10 10 9 9 9 9 8 9 9 10 10 10 11 11 10 10 10 9 8 7 7 7 9 11 12 13 13 12 11 9 7 7 7 6 6 5 3 1 -1 -2 -2 -1 -0 1 2 2 3 5 7 8 8 7 7 7 7 8 9 10 9 10 10 11 11 11 11 9 7 4 2 1 2 4 5 6 7 7 8 10 12 11 10 8 7 8 9 9 9 9 9 9 10 10 10 10 11 11 11 12 13 13 14 15 14 12 11 10 8 7 7 7 6 7 8 8 8 9 9 9 10 10 10 11 11 11 11 12 12 12 12 13 14 12 7 1 -4 -7 -6 -3 -0 3 6 7 8 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 4 -2 -4 -1 3 7 8 9 9 10 12 15 19 20 18 14 12 11 11 10 10 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 10 9 9 11 12 14 17 18 19 19 19 17 13 10 8 7 7 6 6 6 5 5 5 5 5 5 4 2 1 0 2 5 6 7 7 6 5 5 6 7 8 8 9 10 11 11 10 10 8 6 4 2 3 4 6 7 8 8 9 10 12 14 13 11 9 7 7 8 9 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 11 12 11 10 10 9 8 7 6 6 6 8 8 9 10 11 11 11 11 10 11 11 11 12 12 12 11 11 11 10 9 5 0 -2 -3 -1 1 2 4 5 7 7 8 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 8 8 9 9 8 8 7 1 -4 -3 1 5 7 9 9 9 9 11 15 20 22 20 15 13 12 11 10 9 9 9 9 10 10 9 8 8 8 8 8 9 9 10 10 9 9 10 11 13 15 16 16 16 15 14 13 12 11 11 10 9 8 7 6 6 7 8 9 9 9 8 7 5 5 5 5 3 2 1 2 3 5 7 8 8 8 9 10 11 10 9 7 5 4 4 6 8 10 12 11 10 10 11 12 13 13 12 10 9 8 8 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 7 7 8 9 9 9 10 9 8 7 7 7 8 9 10 11 12 13 12 12 11 11 11 10 11 11 12 11 10 9 9 6 2 -2 -4 -3 1 4 6 6 7 7 8 8 9 nan
nan 9 10 9 9 9 9 9 10 10 11 11 10 10 9 9 9 8 8 8 8 8 5 -2 -4 -2 2 6 8 9 9 9 9 10 14 19 22 21 17 14 12 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 9 9 9 10 11 11 12 12 10 7 3 2 4 8 12 14 13 12 11 10 8 8 9 9 10 10 10 10 10 10 10 9 6 3 -0 -2 -0 2 5 8 9 8 9 9 9 8 7 7 6 5 6 8 10 12 12 11 9 8 9 10 11 10 10 10 10 10 10 10 10 10 9 8 9 9 9 8 6 6 6 6 6 6 6 6 7 8 8 8 8 8 7 8 9 9 9 11 11 11 12 13 13 12 12 11 11 11 10 10 11 11 11 10 9 5 1 -4 -7 -5 -2 3 6 7 8 8 8 9 9 10 nan
nan 9 9 9 9 9 9 10 10 10 11 11 10 10 9 9 9 9 9 9 9 7 2 -4 -4 -2 2 6 8 8 9 9 9 9 12 17 21 22 18 14 11 9 9 9 10 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 9 5 -2 -5 -4 0 6 12 13 13 14 14 14 12 11 11 11 11 11 12 12 12 12 13 12 10 8 5 4 4 5 6 7 7 7 8 8 7 5 5 5 5 5 6 8 9 8 6 4 4 6 8 8 8 7 7 8 8 9 10 11 11 11 10 9 9 9 8 7 7 7 8 8 7 6 7 7 8 8 7 6 6 6 7 9 10 11 12 12 11 11 12 13 12 12 11 10 10 10 10 10 11 11 11 11 10 6 1 -1 -1 1 5 7 8 9 9 9 10 10 10 10 nan
nan 8 9 9 9 9 10 10 10 10 11 11 10 9 9 8 9 9 9 10 10 7 1 -4 -4 -1 3 7 8 8 9 9 9 9 11 15 19 21 18 14 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 7 3 -1 -1 2 8 12 14 12 13 14 16 16 15 15 14 14 14 15 15 15 16 17 17 16 14 12 11 10 10 10 9 7 6 6 6 6 6 5 4 4 4 4 5 5 5 5 4 5 7 8 10 9 8 7 7 7 6 7 8 9 10 11 12 13 13 11 9 9 9 10 11 10 9 9 9 8 8 7 6 6 6 7 9 11 11 12 12 12 11 11 12 12 12 12 11 10 10 9 10 10 11 11 11 12 12 11 11 12 13 13 13 12 11 10 11 11 11 11 11 11 nan
nan 8 9 9 10 10 10 10 10 10 10 10 9 8 8 8 8 9 10 11 11 8 3 -2 -3 -1 4 7 8 9 9 9 9 10 11 13 17 19 19 15 12 11 11 10 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 8 6 6 7 11 15 18 18 15 12 12 13 14 15 16 18 18 19 20 21 22 22 23 24 23 20 17 14 13 14 14 14 13 10 8 6 5 5 6 7 8 7 6 6 6 7 8 8 9 12 14 14 14 12 10 9 9 8 7 7 8 8 10 12 14 14 13 10 8 8 8 9 9 10 10 9 8 6 6 6 6 7 8 10 12 12 12 12 12 11 11 11 11 11 12 12 11 10 10 9 9 10 10 11 11 12 13 16 19 22 21 18 15 12 11 11 11 11 11 10 10 10 nan
nan 8 9 10 11 11 11 11 11 10 10 10 9 8 8 8 9 9 10 11 11 9 4 -1 -3 -0 4 7 8 9 9 9 10 10 11 12 15 19 20 18 15 13 10 9 9 10 11 11 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 9 13 16 18 18 15 13 11 11 11 11 12 14 16 18 20 22 23 24 25 26 25 23 20 17 16 17 18 19 19 17 14 11 8 7 7 10 12 13 12 10 10 9 10 11 12 14 15 16 15 13 11 10 10 10 10 10 10 10 10 12 13 13 10 7 5 6 6 6 6 7 8 8 7 5 5 6 7 9 10 11 12 13 13 13 13 12 11 11 11 11 11 12 11 11 10 10 9 9 10 10 11 11 12 13 16 19 19 16 13 10 9 10 10 10 10 10 10 10 10 nan
nan 8 9 10 11 12 12 11 11 10 10 10 9 9 9 8 9 9 10 10 10 9 3 -2 -3 -1 4 7 8 9 9 10 10 10 10 11 15 21 23 21 18 13 10 9 9 10 11 11 11 11 9 8 8 7 8 8 8 8 8 8 8 7 7 7 7 8 9 11 12 12 11 10 9 9 9 9 8 8 9 11 13 15 17 19 19 20 20 18 16 16 16 19 21 22 23 23 22 19 17 16 16 18 19 19 17 14 12 11 10 11 12 13 13 13 11 9 8 8 9 10 11 11 11 11 10 11 11 11 9 6 4 5 7 8 7 7 7 7 7 6 7 8 9 11 12 12 13 14 14 13 13 13 12 11 11 10 10 11 11 10 11 10 9 10 10 10 10 11 11 12 13 14 12 9 7 5 5 8 9 10 10 10 10 10 10 10 nan
nan 8 9 10 11 11 11 11 11 10 10 10 10 10 9 9 8 9 9 10 10 8 1 -3 -3 -1 4 7 8 9 9 10 10 10 11 12 17 24 25 23 18 12 9 9 10 10 11 12 12 11 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 8 7 5 4 4 4 5 5 6 8 10 11 12 13 14 14 14 13 12 12 13 15 17 20 22 23 24 23 22 22 23 25 26 24 21 17 13 11 9 10 11 11 11 10 8 6 6 6 7 8 9 10 10 10 10 10 10 10 9 7 6 7 9 10 10 10 10 10 9 9 9 11 13 14 14 13 13 14 14 14 13 13 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 12 11 9 8 7 7 8 9 10 10 10 10 11 11 11 11 nan
nan 9 9 9 9 9 9 9 10 10 11 11 10 10 10 9 8 8 9 9 10 7 0 -3 -3 -1 4 7 9 9 10 10 10 11 11 14 20 26 26 23 16 11 10 9 10 10 12 12 11 10 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 9 10 10 9 8 3 -1 -4 -3 -1 2 5 8 10 12 13 13 13 12 12 12 11 10 11 12 13 15 17 19 19 19 18 17 18 18 19 19 17 14 11 9 8 8 9 9 10 10 9 7 5 5 6 7 8 9 9 9 9 9 10 11 12 12 11 11 11 12 12 12 12 13 13 13 14 15 16 17 16 15 14 14 14 13 13 13 12 11 10 9 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 11 12 14 14 14 12 11 11 11 11 11 11 11 11 nan
nan 10 9 9 8 8 8 8 9 10 10 10 11 11 10 9 8 8 8 9 9 5 -1 -4 -5 -2 4 7 9 9 10 10 11 11 12 17 24 27 26 21 14 11 10 9 9 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 10 10 9 6 -1 -6 -7 -5 -1 3 7 10 12 14 14 13 13 12 12 11 11 11 12 13 14 15 16 16 14 11 8 5 4 5 6 7 7 6 6 6 6 7 9 9 8 8 6 4 2 2 3 5 6 7 7 9 9 10 12 14 15 16 15 15 15 14 14 14 14 15 16 17 17 17 17 16 16 15 14 13 12 12 12 12 12 10 9 8 8 8 9 9 10 10 10 10 10 10 10 11 11 12 11 11 10 10 12 16 17 19 17 15 13 12 12 12 12 12 12 12 nan
nan 10 9 9 8 8 8 8 9 9 10 10 10 10 10 9 9 8 8 9 8 4 -2 -5 -6 -1 4 7 9 9 10 10 11 12 15 21 26 27 23 17 13 11 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 7 2 -4 -7 -6 -3 1 5 9 12 14 15 14 13 12 11 11 12 12 13 14 15 15 16 16 13 7 2 -4 -7 -7 -4 -2 0 1 1 1 2 3 5 6 6 4 1 -2 -5 -6 -5 -3 -1 -1 1 4 7 9 12 14 16 16 16 16 16 16 16 16 16 17 17 16 16 15 13 12 12 12 12 12 12 11 11 12 12 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 11 12 14 16 19 19 17 15 14 13 13 13 12 12 12 nan
nan 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 8 9 8 5 1 -3 -4 -1 4 6 8 9 10 10 11 13 17 23 26 23 18 14 13 12 11 11 12 11 10 9 9 9 10 10 10 9 9 9 9 10 10 10 9 9 8 9 8 8 7 6 3 -3 -5 -5 -2 1 5 9 12 15 17 15 14 12 12 12 12 13 13 14 15 16 16 15 13 9 3 -1 -4 -5 -3 -2 -1 -1 -1 -1 -2 -2 -0 1 0 -2 -4 -7 -8 -8 -7 -5 -4 -4 -4 -3 -0 3 7 9 12 13 13 14 14 15 16 16 16 16 16 15 14 12 11 9 9 10 10 10 11 11 11 11 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 15 18 20 19 18 15 14 13 13 13 13 12 nan
nan 11 10 10 9 9 9 9 9 9 9 10 10 10 9 9 8 7 7 8 8 7 4 -0 -2 -1 2 5 8 9 10 10 11 14 19 23 23 19 15 14 13 13 12 13 12 11 10 10 10 11 11 11 10 11 11 11 11 11 11 10 8 7 6 6 6 5 5 5 1 -3 -4 -3 1 5 9 12 15 18 19 17 15 14 13 13 13 13 14 15 16 15 15 14 12 9 8 7 7 8 8 7 5 4 3 2 1 1 1 0 -2 -4 -5 -5 -3 -1 1 3 3 3 2 2 3 4 4 4 4 6 10 12 14 14 13 12 12 13 13 12 11 10 9 9 9 9 10 10 10 10 10 11 11 12 12 12 11 11 11 10 10 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 12 14 18 20 21 19 17 15 14 13 13 12 12 nan
nan 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 8 7 7 7 8 8 5 1 -1 -1 1 4 7 9 10 10 11 14 19 22 20 18 16 14 13 12 12 12 11 11 11 11 12 12 12 11 10 11 12 12 11 9 6 3 2 2 3 4 5 5 6 5 2 -2 -3 -2 3 7 10 12 17 22 22 19 17 15 14 13 13 13 14 14 14 14 13 12 11 11 13 15 15 15 14 13 11 11 10 9 9 8 7 5 4 3 3 5 6 8 9 10 10 10 10 10 10 8 5 4 4 8 12 15 14 12 11 10 10 11 11 10 10 9 9 9 10 10 10 10 9 10 10 10 11 12 12 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 14 16 18 20 21 18 16 15 14 14 13 13 nan
nan 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 8 8 6 3 -0 -1 0 3 6 9 10 10 11 13 18 20 20 18 17 14 12 11 10 10 9 10 11 11 12 12 11 10 9 10 11 10 8 4 -2 -5 -5 -3 1 5 7 8 8 7 2 -2 -3 -0 5 8 10 13 19 25 24 21 18 15 13 12 12 13 13 13 13 12 11 10 10 11 13 13 14 15 15 15 15 15 14 13 13 12 12 11 10 10 10 11 11 11 12 12 14 15 16 15 13 11 9 9 12 16 18 17 13 11 9 9 10 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 12 13 14 14 14 13 11 11 10 10 10 11 11 12 11 11 11 12 12 12 12 13 13 14 14 14 14 14 17 20 21 21 20 19 19 18 17 16 nan
nan 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 8 8 7 7 8 6 4 1 -2 -1 2 5 8 9 10 10 13 17 19 20 19 17 14 12 10 9 7 8 9 11 11 12 12 11 10 9 9 10 10 8 2 -3 -5 -4 -1 4 8 10 10 9 6 0 -3 -3 2 6 9 11 14 21 25 23 20 16 13 12 12 12 13 13 13 12 10 9 9 10 10 10 10 10 12 14 15 16 17 17 17 17 17 17 17 16 14 14 13 14 15 16 18 20 21 20 17 14 12 12 13 16 18 17 14 10 9 7 7 9 11 11 11 11 10 10 10 10 10 9 9 9 9 10 11 12 14 15 15 14 12 11 10 10 10 10 11 11 11 11 11 12 12 12 12 13 14 14 15 15 15 14 14 16 18 20 24 26 28 28 26 24 22 nan
nan 9 9 9 9 10 10 10 10 10 11 11 12 11 11 10 9 9 8 8 7 8 7 6 1 -2 -1 1 4 8 9 10 10 12 16 18 20 20 17 14 12 10 7 7 9 10 11 11 11 11 11 10 9 10 10 11 11 7 4 3 2 3 7 9 9 8 5 0 -4 -5 -2 4 8 10 11 15 20 22 21 18 14 12 12 13 14 14 12 11 10 9 9 9 10 10 10 9 9 10 11 12 14 16 18 19 20 21 21 21 19 18 18 19 20 23 25 27 27 26 21 16 14 12 12 14 16 18 18 14 11 9 8 10 12 12 12 11 10 10 10 10 10 10 10 9 9 9 10 12 13 14 15 14 12 11 10 10 10 10 10 11 11 11 11 11 11 11 12 13 13 14 15 15 15 14 14 14 14 15 18 23 27 30 30 29 29 29 nan
nan 8 8 7 8 10 10 10 9 10 10 11 12 12 12 11 10 9 8 8 8 8 8 7 3 -1 -2 -0 3 7 9 9 10 11 15 18 21 21 17 14 11 9 8 9 10 11 11 10 10 10 10 11 11 11 11 12 12 12 11 9 6 5 6 6 4 2 -2 -5 -6 -3 3 7 10 11 11 15 19 20 20 17 14 13 14 14 14 13 11 9 8 8 9 10 11 11 11 10 10 9 9 10 11 13 14 15 17 18 18 18 18 18 20 22 26 28 28 27 26 23 18 15 13 13 14 17 21 24 23 19 16 13 12 13 14 13 12 11 10 10 10 10 10 10 9 9 8 9 10 11 12 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 13 13 14 14 13 12 12 11 12 14 18 20 22 23 25 27 30 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
77 65 39 16 4 3 6 7 7 4 1 1 1 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 1 0 0 1 2 3 2 1 2 1 2 2 3 2 1 2 3 4 5 8 8 7 5 3 1 1 1 4 7 17 32 47 68 120 210 295 442
68 41 15 2 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 4 3 3 2 2 2 1 1 0 0 1 1 1 2 3 2 0 0 1 1 1 0 2 5 6 7 25 58 119
48 17 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 0 0 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 4 4 5 5 4 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 2 6 12
21 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 3 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1
6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0
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 0 0 0 2 2 1 0
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 0 0 0 1 2 1 1
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