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 8 8 8 8 7 7 7 7 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 6 6 7 7 7 7 7 6 6 6 5 6 6 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 8 9 9 9 9 9 9 9 9 8 7 6 5 2 -1 -2 0 4 7 8 8 8 9 9 9 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 6 6 6 6 6 6 6 6 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 4 4 3 3 3 3 3 4 4 4 4 5 5 5 6 6 7 7 7 7 7 7 7 6 6 6 7 7 8 8 9 9 9 nan
nan 7 7 8 8 8 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 6 6 5 6 6 6 7 7 7 7 6 6 5 5 5 6 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 5 3 -0 -2 -1 2 5 6 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 4 3 3 3 3 3 3 3 3 3 4 4 4 5 5 5 6 6 6 7 6 7 6 6 6 6 6 6 6 7 7 8 8 nan
nan 7 7 8 8 7 6 5 5 5 5 5 5 6 6 6 6 6 6 7 7 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 6 6 5 6 6 7 7 7 7 7 7 7 6 5 5 6 6 6 7 7 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 6 4 2 0 -1 -0 2 4 6 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 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 6 6 6 6 6 5 5 4 3 3 3 3 3 3 3 3 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 5 5 5 6 6 6 6 nan
nan 8 8 8 8 7 5 5 5 5 5 6 6 7 7 7 7 7 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 10 9 9 9 9 9 8 7 6 4 2 -1 -2 -1 1 3 5 6 7 7 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 5 5 4 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 nan
nan 8 8 8 7 6 5 5 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 8 8 8 8 9 8 8 7 7 7 7 8 7 7 8 8 7 7 6 6 6 7 7 7 7 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 7 6 3 0 -2 -3 -2 -1 1 3 5 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 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 6 6 5 5 4 4 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 8 8 7 7 7 6 6 7 7 8 7 7 6 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 9 10 10 10 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 7 5 2 0 -2 -3 -3 -2 -1 1 3 4 5 5 6 6 6 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 7 7 6 6 6 5 4 4 4 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 nan
nan 8 8 8 8 7 7 7 8 8 8 7 6 6 6 7 7 7 7 7 8 8 8 9 9 9 9 8 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 7 6 6 7 8 8 8 7 7 7 7 7 7 7 7 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 6 5 3 1 -1 -2 -3 -3 -3 -1 0 2 3 4 4 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 7 7 7 7 7 6 6 5 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 nan
nan 8 8 8 8 8 7 8 8 9 8 7 6 6 6 6 6 7 7 7 8 7 7 7 7 8 8 7 6 5 5 5 5 5 6 6 6 6 7 7 8 8 8 7 6 6 6 7 8 8 7 7 7 7 7 7 7 8 9 10 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 6 4 3 1 -1 -3 -5 -5 -3 -2 0 2 2 3 4 4 4 4 4 4 4 4 4 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 7 7 7 7 7 7 7 7 7 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 nan
nan 8 7 8 8 7 7 7 8 9 8 7 7 7 7 6 6 7 8 8 8 6 6 5 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 7 8 8 7 6 6 7 7 8 8 7 7 7 7 7 7 8 8 8 10 11 11 10 10 9 9 9 10 10 9 9 8 8 8 8 8 8 8 9 9 9 8 8 7 7 6 6 4 2 -0 -3 -4 -4 -3 -2 -1 0 1 2 3 3 3 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 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 7 7 7 7 7 7 7 7 7 7 7 7 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 nan
nan 7 7 6 6 6 7 8 8 8 6 6 7 7 7 7 7 7 8 8 7 6 6 5 5 4 4 5 6 7 7 6 6 6 7 7 7 6 6 6 7 7 7 7 6 6 7 7 8 8 7 7 7 7 7 7 7 7 8 10 11 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 5 3 2 -0 -1 -2 -3 -3 -2 -1 -0 1 2 3 3 3 3 4 4 4 4 5 5 5 5 5 5 5 5 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 7 7 7 7 7 7 8 8 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 6 6 6 6 6 7 7 7 6 5 5 6 6 7 7 8 8 8 7 6 6 6 6 5 5 5 6 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 7 7 7 8 8 8 7 7 8 9 11 11 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 5 4 3 1 -1 -3 -3 -3 -2 -1 0 1 2 3 3 3 4 4 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 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 6 6 5 5 6 6 6 5 5 5 6 7 7 8 8 8 8 8 7 6 6 7 7 6 6 7 7 8 7 7 7 6 6 7 8 8 7 7 7 7 7 7 7 7 6 6 7 8 8 7 6 7 8 8 8 8 8 8 9 10 10 10 9 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 4 2 -0 -1 -2 -3 -2 -1 -0 1 2 2 3 4 4 4 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 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 7 6 5 5 6 6 6 6 6 6 8 9 9 9 9 9 9 8 7 6 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 8 8 7 7 7 7 7 7 7 7 6 7 8 8 7 6 7 8 8 8 9 9 9 9 10 10 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 7 7 7 7 7 7 7 6 7 7 6 5 3 2 -0 -2 -2 -2 -1 -0 0 1 2 3 4 4 5 5 5 4 4 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 7 7 7 7 8 8 8 8 9 9 9 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 nan
nan 8 7 6 6 6 6 7 7 7 7 7 8 8 8 9 10 9 7 6 6 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 8 9 9 9 9 10 10 10 10 9 9 8 8 7 7 6 6 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 6 6 7 7 6 7 7 7 6 6 5 3 1 -0 -1 -1 -1 -0 1 2 3 4 5 5 5 4 4 4 4 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 7 7 7 7 8 8 8 9 9 9 9 9 9 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 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 6 4 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 9 9 9 9 10 10 10 10 9 8 8 7 7 6 6 6 6 6 7 7 8 8 8 8 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 6 5 4 2 -0 -1 -1 -0 1 2 3 5 5 6 5 4 4 4 4 4 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 7 7 7 7 8 8 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 7 6 6 6 6 6 6 6 nan
nan 6 7 8 8 8 7 7 8 8 8 7 7 8 9 9 7 4 4 5 6 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 9 10 10 10 10 10 10 9 8 7 7 6 5 5 5 5 6 6 7 8 8 8 8 7 7 7 7 6 6 6 6 6 6 7 6 6 7 7 7 7 7 7 6 4 1 -0 -0 1 2 3 4 5 6 7 6 5 4 3 3 4 4 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 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 nan
nan 6 6 7 7 7 7 8 8 8 7 7 8 9 9 7 5 4 5 6 7 7 7 7 7 7 7 8 8 7 7 8 8 7 7 6 7 8 8 8 8 8 7 7 7 7 8 8 7 7 8 7 7 7 7 8 9 10 10 10 10 11 10 9 8 7 6 5 4 3 3 4 5 5 6 7 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 5 3 1 2 3 4 4 5 6 7 8 7 5 4 4 3 4 4 5 5 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 9 9 9 9 9 9 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 7 7 7 nan
nan 5 5 5 6 7 8 9 9 8 7 7 8 9 8 7 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 6 7 7 7 8 8 8 8 7 7 7 8 8 8 7 7 7 7 6 7 9 9 10 10 10 10 11 11 10 8 7 5 4 3 2 2 3 4 5 5 6 6 7 7 8 8 8 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 4 3 4 5 5 6 6 8 9 9 8 6 5 4 4 4 5 5 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 nan
nan 5 5 5 6 8 9 9 9 8 7 8 9 10 9 8 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 7 7 7 6 7 8 9 9 9 10 10 10 11 11 10 9 7 5 4 3 2 2 3 4 4 5 5 6 6 7 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 6 5 5 6 6 7 8 10 11 10 9 7 5 4 4 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 nan
nan 6 5 6 7 8 8 8 7 7 8 10 11 11 9 7 5 5 6 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 7 8 8 7 7 7 6 6 7 9 9 9 9 10 10 10 11 11 10 9 8 7 5 4 3 3 3 4 5 5 5 5 7 8 8 9 9 9 9 8 7 7 6 6 6 6 7 6 6 6 7 7 7 7 6 6 6 6 6 7 8 11 13 13 11 9 7 5 5 5 6 6 6 6 6 6 6 7 7 7 7 7 8 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 nan
nan 6 6 6 7 7 7 7 6 8 11 12 11 9 7 5 4 5 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 10 10 10 10 10 10 11 11 10 10 9 8 7 6 5 5 5 5 5 5 6 6 7 8 9 9 9 9 9 8 7 7 6 6 6 6 7 6 6 6 7 7 7 6 5 6 7 7 7 7 10 12 14 13 10 8 5 4 5 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 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 nan
nan 6 6 6 6 7 7 6 7 9 11 10 8 7 6 4 5 6 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 7 8 8 8 7 8 8 10 10 10 10 10 10 10 10 11 11 10 10 9 9 8 8 7 7 6 6 6 6 6 7 8 8 9 9 9 9 9 9 8 7 7 6 7 6 6 7 7 7 7 7 6 5 5 6 7 7 8 9 10 11 11 10 8 5 4 4 6 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 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 nan
nan 6 7 7 7 7 6 7 8 9 9 8 7 7 6 6 7 8 8 7 7 7 7 7 8 7 7 7 8 9 9 10 10 9 9 9 9 9 8 8 7 7 7 8 8 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 11 11 10 10 10 10 9 9 9 9 8 8 7 6 6 6 7 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 6 5 5 6 7 8 9 9 10 9 9 8 6 4 4 6 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 8 7 7 6 6 6 6 6 7 7 7 7 7 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 7 7 6 5 6 7 8 8 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 8 8 7 7 7 7 8 8 7 6 5 6 7 7 7 7 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 8 6 6 6 6 7 8 9 9 9 8 9 9 9 9 8 8 8 7 7 6 6 7 7 7 7 6 5 6 7 8 8 9 9 9 9 8 7 6 6 7 8 8 7 7 7 8 8 8 8 8 9 9 10 10 10 9 8 7 6 5 5 6 6 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 7 6 5 4 5 6 8 9 9 9 8 7 6 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 7 7 7 6 6 6 6 7 7 7 8 9 10 10 11 11 11 10 10 10 11 12 12 11 11 10 10 11 11 11 11 10 8 7 5 5 6 7 7 8 8 8 8 8 8 8 9 9 8 8 8 7 7 6 7 7 8 7 6 6 5 6 7 8 8 8 9 9 8 8 7 7 8 9 9 8 8 8 8 8 8 9 9 9 10 10 11 10 10 8 7 6 5 5 5 6 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 6 5 4 5 6 8 8 9 9 8 7 6 6 6 7 7 7 8 8 9 8 8 8 9 9 10 10 9 8 7 6 6 6 6 6 6 5 6 7 7 8 7 6 6 6 7 7 8 9 10 11 12 12 11 10 10 11 12 12 12 12 11 11 11 11 12 11 10 9 7 5 4 5 6 7 7 8 8 8 8 8 8 8 9 9 8 8 8 7 7 7 7 8 7 6 6 5 6 6 7 7 7 8 9 9 8 7 7 8 9 9 9 8 8 9 9 9 9 9 10 10 11 11 11 10 9 7 5 4 4 5 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 9 9 9 9 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 7 7 8 8 nan
nan 5 4 5 6 8 8 8 8 8 7 6 6 6 6 7 7 7 7 8 8 8 8 9 10 10 10 10 9 8 8 7 7 7 7 7 6 6 5 6 7 8 8 7 6 7 7 7 8 9 11 12 12 12 11 10 10 11 12 13 13 12 11 11 11 11 12 11 9 7 5 4 4 4 6 7 7 7 8 8 8 8 9 9 9 8 8 7 7 7 8 8 8 7 7 6 6 6 6 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 9 9 9 10 10 11 12 12 12 12 11 9 7 5 4 4 5 6 7 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 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 nan
nan 5 4 5 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 7 6 6 6 6 6 7 8 7 6 7 7 8 9 10 11 12 12 11 10 9 9 10 12 13 13 13 12 11 10 10 10 10 8 6 4 2 2 4 6 7 7 7 7 8 8 8 9 9 9 8 7 7 7 7 8 8 8 7 7 6 6 6 7 7 7 7 8 8 8 7 7 7 7 7 7 8 8 7 8 9 9 10 11 13 14 15 15 13 10 7 5 4 4 4 6 7 8 9 9 9 9 9 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 5 5 6 7 7 6 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 9 8 8 7 7 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 7 7 7 8 9 10 11 11 11 10 9 8 9 10 11 12 13 13 12 10 9 9 9 8 7 5 3 2 2 4 6 7 7 7 7 8 8 8 9 9 9 8 6 6 6 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 6 6 6 6 7 7 7 7 7 8 9 10 11 12 13 15 15 14 11 7 4 3 3 4 6 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 6 7 7 7 6 6 8 9 9 9 8 8 9 9 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 10 11 11 10 9 8 8 9 10 11 11 11 11 11 11 9 9 8 8 7 6 4 2 2 4 6 7 7 7 7 8 8 8 9 9 8 7 6 6 7 7 8 8 8 8 8 8 8 8 7 7 7 8 8 8 6 5 6 6 7 7 7 7 7 9 9 10 10 10 10 11 12 11 9 4 0 0 2 4 6 8 9 10 10 9 8 7 7 7 7 7 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 7 6 6 6 6 7 nan
nan 7 7 6 6 6 7 9 9 9 8 8 9 9 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 6 6 7 7 8 9 9 9 8 8 7 7 7 6 6 6 7 7 7 8 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 10 9 8 6 4 2 3 4 6 7 7 7 7 8 8 8 8 8 7 6 6 6 7 8 8 8 8 8 8 8 9 8 8 7 8 8 8 7 6 6 6 7 7 7 7 7 8 9 10 9 9 8 9 9 9 7 3 -1 -3 1 4 7 9 10 10 10 9 8 7 6 6 6 6 7 8 9 9 10 10 10 10 10 10 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 6 6 6 6 6 6 7 7 7 7 7 7 nan
nan 6 5 5 6 7 8 10 10 10 9 9 9 8 8 8 9 9 8 8 8 7 6 5 5 5 6 6 7 6 6 6 6 7 7 8 9 9 9 9 8 7 7 6 6 6 6 6 6 7 9 10 10 10 10 11 11 11 10 10 9 9 10 11 13 13 13 10 7 5 2 1 2 4 7 8 8 7 7 7 8 8 8 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 7 7 7 7 8 8 9 9 9 9 8 8 8 9 8 5 1 -2 0 4 8 10 10 10 10 9 8 7 5 5 5 5 6 7 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 nan
nan 5 4 5 7 9 11 11 11 10 9 8 8 8 8 9 10 9 8 8 7 7 6 6 5 5 6 6 6 6 6 6 6 6 6 7 7 8 9 9 9 8 7 6 6 6 6 6 6 7 8 9 10 10 11 11 12 11 10 9 9 9 9 10 12 13 12 8 4 1 -1 0 3 6 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 6 6 5 5 6 6 7 7 8 8 8 8 9 9 8 8 8 8 9 8 7 4 1 1 5 10 12 12 11 10 9 8 7 5 4 4 4 5 6 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 nan
nan 5 6 7 9 11 12 11 10 9 8 7 7 8 9 10 10 9 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 8 9 10 9 8 8 7 7 7 7 6 6 7 8 9 10 11 11 11 11 10 9 9 9 9 10 11 11 9 5 1 -1 -1 3 6 9 10 9 9 8 7 7 7 7 7 7 7 7 7 6 6 8 8 8 8 8 8 8 8 7 7 6 6 5 5 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 5 5 8 13 16 15 13 11 10 9 7 5 4 3 3 4 5 7 8 9 9 9 10 10 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 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 nan
nan 6 8 10 12 12 11 9 8 8 7 8 9 10 11 11 10 9 8 7 6 7 7 8 8 7 6 6 6 6 6 6 6 6 7 7 7 7 8 9 10 10 9 8 8 8 8 7 7 6 6 7 9 10 10 10 10 10 10 10 10 11 10 10 10 8 6 3 1 1 4 7 10 11 11 9 8 8 8 8 8 8 8 8 7 6 6 6 7 8 8 8 8 7 7 7 7 7 7 7 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 10 14 17 17 14 12 11 10 8 6 4 3 3 3 4 6 7 7 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 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 nan
nan 7 9 11 12 11 9 8 7 8 9 9 10 10 10 9 8 8 7 6 6 7 8 8 8 7 7 7 7 7 7 6 6 7 7 7 8 7 7 8 10 10 10 8 8 8 8 8 7 6 6 6 8 9 9 9 9 10 10 10 11 11 11 10 9 7 5 4 3 5 8 11 11 11 9 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 7 7 7 7 6 6 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 11 13 13 12 12 11 11 9 6 4 2 2 3 4 5 5 6 6 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 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 nan
nan 10 11 12 12 10 8 7 8 9 10 10 9 9 8 8 7 7 6 5 6 7 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 7 7 7 8 9 9 9 8 8 8 8 7 7 6 6 7 8 8 8 9 9 10 10 10 10 10 9 8 7 5 5 5 8 10 11 11 9 7 7 8 9 9 9 8 8 8 8 7 7 7 8 7 6 5 5 6 6 5 6 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 8 9 9 8 6 4 2 2 3 3 4 4 5 5 5 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 7 7 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 7 7 nan
nan 13 13 12 11 9 7 7 9 11 10 9 8 8 8 8 7 6 5 6 6 7 8 8 9 9 9 8 8 8 8 8 8 8 8 9 8 7 7 6 7 8 8 9 9 8 8 8 8 7 6 6 6 7 7 7 8 9 9 9 9 9 8 8 7 7 6 6 7 9 11 11 9 7 7 7 8 10 10 10 10 9 9 8 8 7 8 8 7 6 5 5 5 5 5 6 7 7 7 7 7 6 7 7 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 8 8 8 7 6 5 4 3 2 -1 -0 2 3 4 4 4 4 4 5 5 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 8 8 7 7 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 7 7 7 nan
nan 14 13 12 10 7 6 7 9 10 9 8 8 8 8 7 7 7 6 7 7 8 9 9 9 9 9 8 7 7 6 7 8 8 8 8 8 8 7 6 6 7 7 8 9 9 8 8 8 7 7 7 7 7 7 6 7 7 8 8 8 8 7 7 6 7 7 7 8 9 10 10 8 8 7 8 9 10 10 10 10 10 10 9 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 6 7 7 9 10 9 8 8 9 9 9 9 9 9 9 9 9 10 10 10 8 7 7 7 5 2 0 -1 -1 -2 -4 -1 3 4 4 4 4 4 4 5 6 6 7 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 7 7 7 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 7 7 7 8 nan
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nan 9 9 8 9 9 9 8 8 7 7 9 10 10 9 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 7 7 8 8 8 8 8 6 6 7 7 8 8 8 9 9 9 9 9 9 9 10 11 11 10 9 9 8 7 7 9 11 11 11 11 11 10 10 10 10 11 11 10 10 9 9 10 12 14 14 14 12 11 10 10 10 10 10 10 11 11 11 12 12 13 13 12 11 9 8 8 11 15 18 20 22 21 20 19 18 17 17 16 15 14 13 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 nan
nan 8 8 8 8 9 8 7 7 7 8 10 10 10 9 8 9 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 9 9 9 9 8 7 7 7 8 8 9 8 7 6 5 6 6 7 7 7 8 8 8 8 8 7 7 7 7 8 7 7 7 7 8 10 12 12 11 11 11 10 10 10 10 10 10 9 9 8 7 8 10 12 13 12 11 10 10 11 11 11 11 12 12 12 11 10 11 12 14 13 12 10 10 11 13 17 20 22 22 23 22 22 23 24 24 24 22 20 16 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 8 7 8 8 8 7 7 8 9 10 10 10 9 9 9 9 9 8 8 7 7 8 7 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 9 9 10 9 9 9 9 9 9 8 8 7 7 8 8 9 9 8 8 7 7 7 7 6 6 6 6 6 6 5 5 6 6 7 7 6 6 5 6 8 10 12 13 12 11 10 10 9 9 9 9 9 9 9 8 7 7 9 11 13 12 10 9 8 9 9 11 11 13 14 14 13 13 12 12 13 12 10 9 9 9 10 12 14 15 15 14 12 12 13 16 19 22 23 22 18 14 12 13 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 nan
nan 7 7 8 8 8 8 8 9 10 10 10 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 8 8 8 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 5 5 6 7 9 10 10 9 7 6 6 9 10 12 12 12 11 10 10 9 9 10 10 10 10 10 10 9 9 10 12 14 13 11 9 8 8 8 9 9 11 12 13 14 14 14 14 13 11 9 9 8 9 9 9 10 10 9 8 7 5 4 3 4 6 8 9 8 6 6 10 16 18 16 14 13 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 nan
nan 7 7 7 8 8 8 9 9 10 10 10 9 9 9 8 9 9 9 8 8 8 7 7 7 7 8 8 8 9 9 10 11 11 11 11 10 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 6 7 9 11 12 12 11 10 9 9 11 13 13 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 13 14 15 13 10 8 8 8 9 9 10 10 10 11 12 12 12 12 11 10 9 8 9 9 10 10 9 9 9 8 8 9 8 6 2 1 -0 -1 -4 -3 2 9 15 16 13 12 12 13 13 13 13 13 13 12 12 12 12 13 14 14 14 14 14 14 14 14 13 13 nan
nan 7 7 8 8 8 9 9 9 9 9 10 10 9 8 8 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 10 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 8 8 8 7 8 9 10 10 10 9 9 9 9 10 10 10 10 8 8 9 10 11 12 11 10 10 11 13 15 14 13 11 11 10 10 10 10 10 10 10 10 11 11 12 11 11 12 13 14 13 11 9 9 9 9 10 10 10 10 9 10 10 10 10 10 9 9 8 8 8 8 9 10 10 10 11 12 14 15 16 15 13 11 9 7 5 7 12 16 16 13 12 13 15 15 14 14 14 13 13 13 13 13 15 16 17 16 15 15 15 15 14 14 14 14 nan
nan 8 8 8 9 9 9 9 9 9 9 9 9 9 8 9 9 8 8 8 7 7 8 8 8 8 8 9 10 11 11 11 11 10 9 9 9 9 10 10 10 10 10 10 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 8 7 7 7 7 7 8 9 10 10 9 9 9 9 9 10 10 9 8 7 8 9 11 12 11 11 11 12 13 14 14 13 12 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 10 9 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 7 7 7 8 9 10 11 12 13 14 15 17 19 21 22 22 21 23 25 28 28 25 21 21 22 22 21 19 18 16 15 14 14 15 18 22 24 21 18 16 15 15 14 14 14 14 14 nan
nan 9 9 10 9 9 9 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 8 8 9 9 9 10 11 12 12 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 9 9 7 6 4 3 3 3 4 5 6 7 8 8 8 9 10 9 9 9 8 7 6 7 9 11 12 12 11 10 11 11 11 12 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 10 9 9 8 7 7 7 7 8 9 9 9 10 10 10 11 10 10 9 10 9 9 9 8 8 8 8 9 10 11 11 11 11 12 13 16 18 21 23 24 27 29 30 30 28 27 28 28 28 28 27 24 21 20 19 19 20 23 26 25 21 17 15 14 14 14 14 14 14 13 nan
nan 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 10 10 11 10 9 8 9 9 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 7 5 3 1 0 0 0 0 0 1 1 2 3 5 7 9 10 9 8 7 6 6 7 8 11 12 13 12 11 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 11 11 10 9 8 7 7 6 6 6 7 8 9 9 9 10 10 10 11 11 10 10 10 10 9 9 10 10 11 10 10 10 10 10 10 10 10 10 11 12 13 15 17 18 19 19 19 19 19 20 22 23 25 26 27 26 25 26 26 26 25 24 21 18 16 15 16 16 16 15 14 13 13 12 nan
nan 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 8 8 8 8 8 8 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 7 4 3 2 1 1 2 2 2 2 2 1 0 0 1 3 5 7 7 7 6 6 6 6 7 10 11 12 11 11 10 9 9 10 10 10 11 11 11 12 12 12 11 11 11 11 11 11 10 10 9 7 6 5 5 5 5 5 6 8 9 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 10 10 10 10 10 11 11 11 11 11 11 11 12 12 13 15 16 17 18 20 23 26 28 27 26 22 19 17 17 19 21 22 20 17 14 12 10 10 nan
nan 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 6 6 6 7 8 8 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 9 9 10 9 9 9 9 9 10 11 11 11 10 9 7 4 3 3 4 5 6 7 7 7 7 6 6 5 4 4 4 4 2 1 1 2 3 4 6 8 9 9 9 8 7 8 8 9 10 11 10 11 11 11 11 11 10 10 10 10 10 9 9 8 8 6 5 3 3 3 4 4 4 6 9 11 11 11 11 11 11 10 10 9 9 10 10 9 10 10 10 10 11 11 11 11 12 12 12 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 14 17 19 21 21 22 23 22 20 19 19 18 17 14 12 9 8 7 7 nan
nan 9 8 8 8 9 9 9 8 9 9 9 8 8 8 9 8 8 8 9 9 9 9 9 8 7 6 5 5 6 7 8 8 9 9 10 10 10 11 11 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 10 11 11 11 11 10 8 6 6 6 7 9 10 10 10 10 10 10 10 9 9 9 8 6 4 1 -2 -2 -2 -0 2 4 6 7 6 5 5 6 6 7 8 10 10 10 10 11 11 10 10 9 9 9 9 9 8 7 6 4 3 2 2 3 4 4 4 6 9 11 12 11 10 10 10 10 10 9 9 10 9 9 10 9 10 10 10 10 11 12 13 14 14 12 10 10 9 9 9 9 9 9 9 10 10 9 10 10 10 10 10 10 10 10 11 12 13 14 15 17 19 18 14 9 4 1 1 1 1 3 4 6 7 nan
nan 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 7 6 6 5 6 7 8 8 9 9 10 10 10 11 11 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 10 11 13 14 14 14 14 13 12 11 10 10 10 10 9 9 7 5 3 2 1 1 1 2 2 2 3 5 6 7 7 7 8 9 9 9 10 10 10 10 9 9 9 9 9 9 7 5 3 1 0 1 3 5 6 7 9 11 14 13 11 8 8 9 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 12 13 14 13 11 10 9 9 9 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 12 12 12 10 4 -2 -6 -7 -6 -3 -1 3 5 7 8 nan
nan 9 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 7 6 5 5 6 7 8 8 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 13 14 16 16 16 16 16 15 13 12 11 10 10 10 10 10 9 8 8 8 6 5 4 3 1 1 3 5 7 8 8 8 9 8 8 8 9 9 9 9 9 9 9 9 9 8 6 4 3 3 3 5 6 8 10 11 14 15 15 13 9 7 8 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 11 11 10 10 10 10 10 9 8 8 8 9 9 9 10 11 11 11 10 10 10 10 10 11 11 12 11 10 10 9 7 2 -3 -5 -4 -1 1 3 4 6 8 9 10 nan
nan 9 9 9 9 9 9 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 8 6 5 5 5 6 7 8 8 9 9 11 12 13 12 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 12 13 14 14 14 14 13 12 12 12 12 12 11 10 10 10 10 9 9 9 8 8 7 6 5 5 5 6 5 4 4 6 7 7 8 9 8 8 8 9 10 10 10 9 8 7 6 6 7 8 10 10 10 11 12 14 14 14 12 11 9 9 9 9 10 10 9 9 9 10 10 9 8 8 8 8 9 9 9 8 9 9 8 9 10 10 10 9 9 8 8 9 9 9 11 12 12 11 11 10 10 10 10 11 11 11 9 9 7 5 0 -5 -7 -5 -0 4 6 7 8 9 9 10 10 nan
nan 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 5 5 5 5 6 7 8 8 8 9 11 12 13 13 12 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 10 8 7 7 8 10 12 13 13 12 11 11 10 10 9 9 9 8 8 8 8 8 8 8 6 4 2 1 2 4 6 8 8 7 7 8 9 9 9 8 8 7 7 7 9 10 11 10 10 9 11 12 11 10 10 10 10 9 10 10 10 10 9 8 8 8 8 7 6 6 6 7 7 7 8 7 7 8 7 7 8 9 9 9 10 9 9 9 9 9 10 12 12 12 11 11 10 10 10 10 11 10 10 9 7 4 -1 -6 -8 -6 -1 5 8 9 9 10 10 10 10 10 nan
nan 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 8 8 7 6 5 5 5 5 6 7 7 8 8 9 10 12 13 13 13 12 12 11 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 7 4 3 4 7 10 12 12 12 12 12 12 11 10 9 9 8 8 9 9 9 10 10 10 9 8 6 5 5 5 5 6 5 6 7 7 7 6 5 5 5 5 5 6 7 7 6 5 5 6 8 8 7 6 7 8 8 9 10 10 11 10 9 9 9 9 9 7 7 7 8 9 8 8 7 7 7 7 7 7 7 7 8 9 10 10 10 10 9 10 11 12 12 11 11 10 10 10 10 10 11 10 10 9 8 4 -1 -3 -1 3 7 10 10 10 10 10 10 10 10 10 nan
nan 8 9 9 9 9 9 9 9 9 8 8 8 8 8 7 8 8 9 9 9 8 7 6 5 5 5 5 6 7 7 8 8 9 10 11 13 14 14 14 12 11 11 11 11 11 11 10 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 10 9 8 6 4 6 9 11 13 12 11 11 12 12 12 11 11 11 10 10 10 11 11 12 13 14 13 13 12 11 11 10 9 8 5 4 4 4 5 4 4 3 3 2 2 3 3 3 3 3 4 6 7 8 7 6 6 6 7 7 8 8 9 9 9 11 12 13 12 10 10 10 11 12 11 10 9 8 7 7 6 6 6 6 7 8 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 8 8 10 11 12 13 12 11 10 10 10 9 9 10 10 nan
nan 9 9 9 9 9 9 9 8 8 7 7 8 7 7 7 8 9 9 9 9 8 7 6 5 5 4 5 6 6 7 8 8 9 10 11 12 14 15 13 12 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 12 15 16 15 13 11 11 12 11 11 12 13 13 13 14 14 15 16 17 19 18 17 15 14 14 14 14 13 11 8 6 4 3 3 4 5 5 4 4 4 4 4 5 5 7 10 12 12 11 9 8 8 8 8 8 8 7 7 9 11 14 15 14 11 9 9 9 10 11 11 10 9 7 6 5 5 6 6 6 7 9 10 10 10 11 11 11 12 12 12 12 11 10 10 9 9 9 10 10 11 11 11 11 13 16 18 16 13 11 9 9 9 9 9 9 9 10 10 nan
nan 9 9 9 9 9 9 8 7 7 7 7 6 6 7 7 8 9 9 10 9 9 8 6 5 4 4 5 5 6 7 8 9 9 9 10 12 14 14 13 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 12 14 15 14 13 11 11 11 10 10 9 10 11 13 14 15 16 17 18 20 20 18 17 16 16 16 17 17 17 15 13 10 7 5 6 7 9 9 9 8 8 8 8 9 10 12 14 14 13 11 9 9 9 9 10 10 9 9 9 11 13 13 12 9 7 7 7 7 7 7 8 8 6 5 5 5 6 7 7 8 9 11 11 11 12 12 11 12 12 11 11 11 11 10 10 9 9 10 10 10 11 10 11 12 14 15 13 9 6 5 6 8 9 9 9 10 10 10 11 nan
nan 10 10 9 9 9 8 8 7 7 7 6 6 7 7 8 8 9 10 10 9 9 7 6 5 4 4 4 5 6 7 8 8 9 9 10 12 14 15 14 13 12 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 9 9 9 8 8 7 8 9 10 11 12 13 14 15 16 15 14 14 15 18 19 20 20 20 19 17 15 14 14 15 16 15 13 12 11 10 10 10 11 11 12 12 10 8 7 7 8 9 10 10 10 10 9 10 11 11 9 6 4 5 7 7 7 7 7 6 6 6 6 7 8 9 10 10 11 12 13 12 12 12 12 12 11 11 10 10 10 10 10 9 9 10 10 10 10 10 10 11 12 13 10 4 1 1 3 7 9 10 10 10 10 11 11 11 nan
nan 10 9 9 9 9 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 8 7 5 4 4 4 4 5 6 7 8 8 9 9 10 13 16 17 17 16 14 13 13 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 6 6 6 7 7 8 8 9 10 11 12 12 12 11 11 12 14 16 18 19 20 20 19 18 18 19 21 22 20 17 14 12 11 11 11 11 11 10 10 9 7 6 6 7 8 9 9 10 10 10 10 10 10 9 6 5 6 8 9 9 9 8 8 7 7 9 10 12 12 12 12 12 13 14 14 13 12 12 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 7 4 4 4 8 10 10 10 11 11 11 11 11 11 nan
nan 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 5 4 3 3 4 5 6 6 7 8 8 9 12 15 18 19 18 16 14 13 12 12 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 5 3 3 3 4 6 6 7 8 8 9 10 10 11 11 11 10 10 11 12 12 13 14 15 15 14 13 13 14 15 17 17 15 13 11 11 11 11 10 11 11 11 11 9 7 6 6 7 8 8 9 9 10 10 10 11 11 11 9 10 10 11 11 10 10 11 11 12 13 15 16 17 16 15 14 14 14 14 13 12 12 11 10 9 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 9 10 11 12 11 11 11 11 11 11 12 12 12 nan
nan 9 9 9 9 9 9 8 8 8 9 9 9 8 8 9 9 9 9 9 9 8 7 6 5 4 3 4 5 5 6 7 8 9 10 14 18 20 20 18 14 13 12 12 11 11 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 6 3 1 1 3 4 5 6 7 8 9 10 10 11 12 11 11 11 11 12 12 12 12 12 12 10 8 6 4 5 7 8 9 9 9 9 9 9 10 10 11 10 9 8 6 3 2 3 4 6 7 8 9 10 11 12 13 14 14 14 14 14 13 12 12 13 14 15 17 18 18 18 17 17 16 15 14 13 12 12 12 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 12 11 11 12 12 12 12 12 12 nan
nan 9 9 9 9 9 8 7 8 8 9 9 9 9 8 8 8 9 9 9 9 9 8 7 5 4 4 4 4 5 6 7 8 9 12 17 21 21 18 15 12 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 8 8 8 7 5 2 2 2 3 4 5 6 8 9 10 10 11 12 12 12 12 12 13 13 12 12 11 11 9 5 2 -1 -3 -2 1 3 4 5 5 5 5 6 7 8 7 5 2 -1 -4 -5 -5 -3 -1 0 2 4 7 9 11 13 15 15 15 16 16 16 15 15 15 16 17 17 17 16 15 14 14 13 13 12 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 10 10 9 9 10 10 10 10 10 10 10 10 11 12 12 13 13 12 12 12 12 12 12 12 12 12 nan
nan 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 8 7 5 4 4 4 4 5 5 6 8 10 14 19 21 18 15 12 11 12 12 12 11 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 7 4 2 3 3 4 5 6 7 9 10 10 11 12 13 13 13 14 14 13 12 10 10 9 9 6 3 1 -1 0 3 4 4 4 3 2 1 1 1 2 1 -1 -4 -6 -8 -8 -7 -5 -4 -4 -4 -4 -2 1 4 8 11 13 13 14 14 15 15 14 15 15 16 16 15 14 13 12 11 10 10 10 9 9 9 9 9 10 10 11 11 11 11 10 10 9 10 9 10 9 9 9 9 10 10 10 10 10 10 10 10 10 12 14 14 14 14 13 12 12 12 12 12 12 nan
nan 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 7 5 5 4 4 4 5 5 6 8 10 14 18 18 14 11 11 12 13 13 12 11 10 10 10 10 9 10 10 11 11 11 11 10 10 10 9 8 8 8 8 8 8 8 8 6 3 2 3 4 5 5 7 8 10 11 11 12 14 14 15 15 14 13 11 9 8 7 8 8 7 8 8 9 12 12 11 9 8 6 4 2 2 1 0 -2 -4 -6 -5 -3 -1 2 4 3 2 1 0 -0 1 2 2 3 5 9 11 13 12 12 12 12 13 13 13 12 12 11 10 9 8 8 8 8 9 9 8 8 9 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 12 14 14 15 15 13 12 13 12 12 12 12 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 8 8 6 5 5 5 4 4 5 5 6 7 10 14 16 14 12 11 13 14 14 12 10 9 9 10 10 9 9 10 11 12 12 11 10 9 8 6 5 5 6 7 7 8 8 8 7 5 3 2 3 4 5 6 7 9 12 13 14 14 15 16 15 14 12 10 8 6 6 6 8 9 10 13 15 16 17 16 15 14 12 10 9 8 7 6 5 3 3 3 5 7 9 10 11 11 11 11 10 9 7 5 3 3 6 10 12 12 11 10 10 10 11 11 11 11 11 10 9 8 8 8 8 8 8 8 8 8 8 9 10 11 12 11 11 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 11 11 12 13 13 15 15 14 13 13 13 13 13 13 nan
nan 9 9 9 9 9 9 9 9 9 9 9 8 8 9 8 8 8 8 8 8 8 7 6 6 5 5 5 5 5 5 6 7 9 13 14 14 14 14 15 14 12 10 8 8 9 10 10 10 10 11 12 12 11 10 9 7 5 3 3 4 5 7 8 9 9 9 7 5 3 2 3 5 6 6 8 11 16 17 17 17 16 16 14 12 9 7 6 5 6 7 9 10 11 13 14 15 16 16 16 16 15 14 13 12 12 12 12 11 11 12 12 13 13 14 14 15 16 17 17 16 14 12 10 11 14 15 14 11 10 9 9 10 11 11 12 11 10 9 9 8 8 8 9 9 8 8 8 8 9 10 11 11 12 11 11 10 10 10 10 10 10 10 9 9 10 10 11 11 12 12 12 12 12 12 12 13 14 15 15 17 18 19 18 17 15 nan
nan 9 9 9 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 5 5 5 5 6 6 9 12 13 14 15 16 14 12 10 8 8 8 9 10 11 11 11 12 11 11 10 10 9 7 5 4 5 6 7 9 9 9 9 9 7 5 3 3 4 5 6 7 9 14 18 19 18 17 16 14 11 9 7 6 6 6 7 9 10 11 11 11 11 12 13 14 15 16 17 17 17 17 18 18 18 17 17 16 16 16 16 18 20 22 23 23 20 18 16 15 16 17 16 15 12 9 8 8 9 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 10 11 12 12 13 13 13 12 12 12 12 13 14 15 19 23 26 26 24 22 20 nan
nan 9 9 10 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 7 6 6 6 6 5 5 5 6 6 8 11 13 15 16 15 13 11 9 9 9 9 10 11 12 12 12 11 11 11 11 11 10 8 7 7 8 8 9 10 10 9 8 7 5 3 2 3 5 7 7 8 11 16 18 19 18 16 14 11 9 7 6 7 7 8 9 10 11 11 11 10 10 10 11 11 12 14 16 18 19 21 22 23 23 22 21 21 21 22 24 26 28 29 28 25 20 18 16 15 16 17 17 15 12 10 9 9 10 11 12 12 11 11 10 10 10 10 10 10 9 9 9 10 10 11 11 12 11 11 11 11 11 10 9 9 9 9 9 10 10 10 11 12 13 13 13 13 13 13 12 11 11 12 12 15 19 24 28 27 26 26 27 nan
nan 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 7 6 6 6 6 6 6 6 7 8 10 13 16 16 14 12 11 10 9 9 9 10 11 12 12 11 10 10 12 12 11 10 9 8 9 10 9 10 10 9 7 6 4 2 1 2 5 7 8 8 9 13 17 19 19 16 13 11 9 7 6 6 7 8 9 10 11 11 11 11 11 10 10 10 10 10 11 12 14 15 17 19 20 21 21 22 23 25 27 30 30 29 28 25 21 18 16 16 16 18 20 22 21 17 14 12 12 13 13 12 11 11 10 10 10 10 10 10 9 9 8 9 10 10 11 11 11 10 11 11 11 11 10 10 9 9 9 9 10 10 11 11 13 13 13 12 13 12 12 11 11 10 10 11 13 16 18 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
464 450 416 356 265 176 119 68 29 10 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 1 4 8 17 27 35 38 38 35 31 26 23 20 19 19 18 18 18 19 21 23 25 34 40 43 46 49 53 57 60 62 65 72 85 112 145 185 232 289 355
443 443 400 320 222 135 69 23 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 1 3 12 17 22 25 25 23 20 18 16 15 14 14 13 13 14 15 17 18 22 26 31 35 38 42 46 50 53 55 56 59 71 88 102 130 160 206
425 401 336 249 161 85 27 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 9 13 15 15 14 13 10 9 9 8 7 8 7 10 12 13 15 16 18 21 25 29 31 36 42 45 46 46 50 55 64 81 100 120
381 320 241 163 96 39 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 1 4 5 6 8 6 3 2 2 1 0 1 0 3 5 7 8 9 11 13 16 18 20 24 28 32 36 36 35 37 41 47 56 66
304 233 156 87 39 10 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 1 0 1 0 0 0 0 0 0 0 0 1 1 1 1 3 5 6 8 9 10 12 14 17 22 22 21 24 27 30 34 42
219 143 74 26 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 1 2 4 7 7 8 8 7 12 18 26
143 70 20 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 4 10
78 25 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 0 0 0 0 0 0 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
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