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 7 8 8 8 8 8 9 9 9 9 8 8 7 7 7 7 8 9 9 10 9 9 8 8 8 8 7 6 6 5 6 6 7 8 7 5 3 4 5 6 8 8 9 9 9 8 7 6 6 7 9 11 11 11 10 10 10 11 11 11 12 12 11 10 8 8 7 8 9 11 12 13 12 11 11 10 9 7 3 0 -1 2 8 13 15 14 13 11 10 10 10 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 4 5 5 6 6 6 6 6 6 5 5 5 5 5 6 7 7 7 7 7 8 9 11 12 13 14 14 14 14 13 12 11 10 10 9 9 9 10 10 11 12 12 12 nan
nan 8 7 7 8 8 8 8 8 8 8 7 7 7 8 7 7 7 8 9 9 9 9 8 8 8 8 7 7 6 5 5 6 7 8 8 7 5 3 2 3 6 9 9 10 9 8 7 6 4 4 5 6 7 8 9 8 8 9 10 10 10 12 12 12 10 8 7 6 7 8 10 12 12 12 11 10 9 9 7 5 1 -2 -2 2 7 9 10 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 5 5 5 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 5 5 4 5 5 5 6 6 6 6 6 5 5 5 4 4 4 5 5 5 6 6 6 6 7 9 9 10 11 12 12 12 12 11 11 10 9 9 9 9 9 10 10 11 11 nan
nan 8 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 6 5 5 6 7 8 8 7 7 6 5 3 3 5 7 8 9 8 8 7 6 5 4 4 5 6 6 7 7 7 8 8 9 9 10 11 11 10 9 8 6 5 7 9 12 12 12 12 11 10 9 8 7 4 -1 -4 -3 1 4 6 6 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 6 6 6 6 5 5 5 5 5 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 4 4 4 4 5 5 5 5 5 6 7 7 8 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 nan
nan 7 7 7 8 8 7 6 6 6 7 7 8 8 8 8 8 9 9 9 8 8 7 7 6 7 6 6 6 6 6 7 8 8 7 7 7 7 6 5 4 4 6 7 8 8 8 7 7 6 5 5 5 5 6 6 7 7 8 8 9 9 9 9 9 10 10 10 7 5 6 9 11 12 12 13 12 11 10 9 8 6 2 -3 -4 -3 -1 1 3 4 5 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 6 6 6 6 6 6 5 5 6 6 6 6 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 8 8 9 9 8 8 8 8 9 9 9 nan
nan 7 6 7 8 7 6 6 6 7 8 8 8 7 7 7 8 9 8 8 7 7 7 6 6 7 7 6 6 6 7 8 7 6 6 6 7 7 6 5 4 4 4 6 7 8 8 8 7 6 5 5 5 5 6 6 6 7 8 9 9 8 8 9 9 9 11 10 8 6 7 9 11 11 12 13 13 12 11 10 9 7 5 1 -3 -5 -6 -3 -1 1 3 4 5 5 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 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 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 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 nan
nan 7 7 7 7 7 6 7 8 8 8 8 7 7 7 7 8 8 7 7 7 6 6 6 7 7 8 8 8 8 8 7 8 8 8 9 9 7 6 5 4 4 4 5 6 7 8 8 8 7 6 6 6 6 6 6 6 7 8 9 9 8 8 8 8 9 10 10 8 7 7 9 10 10 10 11 12 12 11 10 9 9 7 5 1 -3 -7 -7 -5 -3 -0 1 3 4 5 5 6 6 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 6 6 6 6 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 7 7 7 nan
nan 8 9 8 7 7 7 8 8 9 8 8 7 7 7 7 7 6 6 6 7 7 7 7 8 8 9 10 10 10 9 8 9 10 11 11 11 9 8 7 7 7 6 6 6 7 8 9 9 8 6 6 6 7 7 6 6 7 8 9 9 7 7 7 8 9 10 11 9 7 6 8 9 10 9 9 9 9 10 10 9 9 9 7 5 1 -3 -6 -7 -6 -4 -2 0 2 4 5 5 5 5 5 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 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 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 7 7 7 7 7 7 7 7 nan
nan 10 9 8 7 7 7 8 8 8 8 7 7 7 7 7 6 6 6 7 8 8 8 8 9 10 10 11 11 10 9 8 8 9 9 9 10 9 9 9 9 9 8 7 6 6 7 9 9 8 7 5 6 6 7 7 7 7 8 9 9 7 6 6 7 8 10 11 11 8 6 7 8 9 9 7 7 7 7 8 8 9 9 9 7 6 3 -1 -4 -6 -7 -6 -4 -2 1 4 4 4 5 5 5 5 5 6 6 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 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 8 7 7 7 7 7 8 8 7 7 7 7 7 7 7 6 7 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 8 7 7 8 8 8 7 6 6 7 8 9 8 6 5 5 6 6 7 7 7 7 9 9 7 6 5 5 6 8 10 12 10 8 7 7 8 8 7 6 6 6 7 7 8 9 9 8 8 7 5 2 -1 -4 -7 -8 -6 -3 1 3 4 4 4 5 5 5 5 6 6 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 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 nan
nan 7 6 6 6 6 7 8 8 7 7 6 7 7 8 7 7 7 7 8 8 8 8 7 7 6 7 7 8 8 7 7 7 7 7 7 6 6 6 6 7 7 7 7 6 6 7 8 8 7 6 6 6 6 6 6 6 6 7 8 9 8 6 6 5 4 5 7 10 11 10 7 7 8 8 8 7 7 7 7 7 8 9 9 8 8 8 7 6 4 2 -2 -6 -8 -6 -2 1 3 4 4 4 5 5 5 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 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 6 5 5 5 6 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 7 7 7 7 8 8 7 6 6 6 7 7 7 6 6 6 7 8 8 8 7 6 7 7 7 7 6 6 6 7 8 8 7 7 6 5 4 5 7 10 10 8 7 8 8 8 8 8 8 7 7 8 9 9 8 8 8 7 7 6 5 3 -0 -5 -6 -6 -3 -0 2 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 7 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 nan
nan 5 5 5 5 6 7 6 6 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 7 7 7 7 7 7 7 7 6 6 6 7 8 8 6 6 7 8 8 8 7 7 7 7 7 8 7 7 7 6 4 4 5 7 8 8 8 7 8 8 7 8 8 7 7 8 10 9 8 7 7 7 7 6 6 6 4 1 -3 -5 -6 -5 -1 2 4 5 5 5 6 6 6 6 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 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 8 8 8 9 9 9 9 9 9 10 10 nan
nan 6 6 5 5 6 7 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 7 8 8 8 8 7 7 7 7 7 7 7 7 6 6 7 7 8 6 5 6 7 8 8 8 8 7 7 7 7 7 7 7 6 5 4 4 5 6 7 7 7 7 7 6 6 6 6 6 7 9 10 8 7 7 7 7 6 6 6 6 5 2 -1 -5 -7 -5 -1 2 4 5 5 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 nan
nan 7 7 6 6 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 9 8 8 7 7 7 7 7 7 7 6 5 4 4 5 6 6 7 7 6 6 5 5 4 4 6 9 9 9 8 8 8 8 7 6 6 7 7 6 4 0 -4 -6 -5 -2 2 5 6 5 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 10 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 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 nan
nan 8 7 7 8 8 8 8 8 8 7 6 5 5 5 5 6 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 8 9 9 8 7 7 7 7 7 7 7 7 6 5 4 4 5 6 6 7 7 7 7 5 4 4 6 7 8 8 8 8 9 9 8 7 7 7 7 7 7 5 2 -3 -6 -5 -1 4 5 5 5 5 5 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 10 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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 nan
nan 8 8 8 9 9 8 8 8 7 7 6 5 5 6 7 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 8 8 8 7 7 7 7 8 8 7 7 7 8 7 6 6 6 8 9 9 8 8 7 7 7 7 7 6 6 6 5 5 5 5 5 5 6 8 9 9 7 6 5 6 7 7 7 7 7 8 9 8 8 7 8 8 8 8 7 6 2 -4 -6 -4 1 4 4 4 4 4 5 5 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 9 9 9 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 nan
nan 9 9 9 8 8 7 7 7 7 6 6 6 7 8 10 9 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 6 7 8 9 9 8 7 7 7 7 7 7 6 6 6 5 5 6 6 5 4 4 6 8 9 9 7 6 6 7 7 7 6 6 7 7 8 8 8 8 9 9 9 8 7 5 -0 -4 -5 -1 2 4 3 3 3 3 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 nan
nan 9 8 8 7 7 7 7 7 7 7 6 7 8 10 10 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 7 7 8 8 8 8 8 8 8 8 7 7 7 8 9 8 8 7 7 6 6 7 9 9 9 8 7 7 7 7 7 7 6 6 6 5 6 7 7 6 4 3 4 5 7 8 8 7 6 6 6 6 5 5 5 6 7 7 7 8 9 10 10 9 8 7 3 -1 -4 -2 1 2 3 3 3 3 2 3 4 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 nan
nan 8 8 8 8 8 8 8 8 8 7 8 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 6 7 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 6 6 8 9 9 9 8 8 7 8 8 8 7 7 6 6 6 6 7 8 7 6 4 3 4 5 6 7 7 6 6 6 5 4 4 4 4 5 6 6 6 8 9 10 10 10 8 6 3 1 -1 -0 1 3 4 3 2 1 2 3 4 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 nan
nan 8 8 9 9 8 7 7 7 7 9 10 11 11 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 8 8 7 7 7 7 8 8 8 8 9 8 8 8 8 8 8 8 8 8 7 7 6 7 8 9 9 8 8 8 8 9 9 8 7 7 7 6 5 6 7 8 8 7 5 4 3 4 6 6 7 7 7 7 6 5 3 3 3 4 5 5 5 6 8 9 10 10 9 8 7 6 3 1 2 4 6 5 2 1 0 1 3 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 9 9 8 7 6 6 7 9 10 11 10 9 8 7 6 6 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 8 7 7 7 7 5 5 6 7 8 8 6 5 4 4 5 6 6 7 8 8 7 6 4 3 3 4 4 5 5 6 7 8 9 8 7 7 8 8 7 5 4 6 7 6 4 1 -1 -1 1 4 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 7 6 6 5 5 4 4 5 6 7 7 7 7 7 7 6 6 6 7 7 nan
nan 9 8 8 6 6 6 7 8 9 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 10 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 8 9 9 8 8 8 8 9 9 9 8 8 8 8 8 7 5 4 4 5 7 7 7 6 5 5 5 6 6 7 7 7 7 6 5 3 3 3 4 5 5 5 6 8 8 7 5 6 8 8 8 8 8 8 8 7 5 2 -2 -2 1 3 4 5 5 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 9 8 8 8 8 8 8 8 7 7 6 5 4 3 3 3 4 5 6 7 7 7 7 6 6 5 6 6 6 nan
nan 8 8 7 6 6 7 8 8 8 7 7 7 8 8 7 7 8 7 7 7 8 8 8 8 8 8 7 8 8 10 10 10 10 9 9 9 9 9 8 8 7 8 9 9 8 8 8 8 9 9 9 9 9 9 9 8 8 9 10 9 9 8 8 8 8 8 8 6 4 3 4 5 7 7 7 6 6 6 6 6 6 7 7 6 6 4 3 2 3 4 4 5 5 6 8 7 6 5 5 7 7 8 9 9 9 8 7 6 3 0 0 2 3 3 4 4 5 5 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 7 7 8 8 8 8 7 7 8 8 7 7 6 6 5 4 3 3 3 3 5 6 7 7 7 7 7 6 6 5 6 6 nan
nan 8 7 7 7 7 7 8 8 8 7 8 8 8 8 7 8 8 8 8 8 8 8 9 9 9 8 8 7 7 8 8 8 8 8 7 7 8 9 9 8 7 7 8 8 8 8 8 9 10 10 10 10 10 9 9 8 9 10 10 10 9 8 8 8 9 9 8 6 4 2 2 4 7 8 7 6 6 6 7 7 7 6 6 6 6 4 3 2 3 3 4 5 6 7 7 6 5 5 6 6 7 7 9 9 9 8 7 6 5 4 4 4 3 2 3 3 4 5 5 6 6 6 6 6 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 8 8 8 8 8 8 7 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 4 3 3 3 4 5 6 7 7 7 7 7 6 6 6 6 nan
nan 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 8 7 7 7 6 6 6 6 5 5 7 9 9 9 8 7 8 8 8 8 9 10 10 10 10 10 9 9 9 9 10 10 9 9 8 7 8 9 10 9 7 4 1 2 4 6 7 7 7 6 6 7 7 7 7 7 6 6 5 3 2 2 3 4 5 7 8 6 5 4 5 6 6 6 7 8 9 9 8 7 7 7 7 7 5 4 3 3 4 4 4 5 5 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 5 4 3 3 3 4 4 5 6 7 7 7 7 6 6 6 6 nan
nan 8 8 7 7 7 8 8 8 8 8 7 7 6 5 6 8 9 9 9 9 9 8 8 9 9 10 10 9 8 7 7 6 6 6 6 5 4 5 7 9 10 10 8 8 8 8 8 9 9 10 11 10 10 10 9 9 10 11 10 9 9 8 8 8 9 10 10 7 4 1 1 3 6 7 8 7 6 6 6 7 7 7 7 6 6 5 4 3 3 3 4 5 6 7 6 5 5 5 6 6 6 6 8 9 9 8 7 7 8 8 8 7 5 5 5 4 4 4 5 6 7 7 7 7 8 7 7 7 7 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 6 5 4 3 3 3 4 4 5 6 7 7 7 7 6 6 6 nan
nan 8 7 7 7 8 8 8 8 8 7 6 5 5 5 6 8 8 9 8 8 8 7 8 8 9 9 9 9 9 9 9 8 8 7 7 6 5 4 5 7 9 10 9 8 8 8 9 9 10 11 11 10 10 9 9 10 10 11 10 10 9 9 8 8 9 10 10 7 4 1 0 3 6 8 8 7 6 6 6 7 7 7 7 6 6 5 4 5 5 4 4 4 5 5 5 5 5 6 6 6 6 7 8 9 8 7 6 7 7 8 8 7 7 7 6 5 5 5 7 8 9 9 8 8 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 6 6 6 6 6 6 5 5 5 6 6 6 7 7 7 7 7 6 5 4 4 3 3 4 4 5 6 6 7 7 7 7 6 6 nan
nan 8 7 7 8 9 8 8 8 8 7 6 5 5 6 7 8 8 8 8 7 7 8 8 7 7 8 8 9 9 10 10 10 10 10 9 8 6 5 4 5 7 8 8 8 8 9 9 10 10 11 11 10 9 9 9 9 10 11 10 10 9 9 9 9 9 10 10 7 4 -0 -1 2 6 8 8 7 6 6 6 7 7 7 7 6 5 4 4 6 6 6 5 4 4 4 5 5 6 6 6 6 6 7 8 8 7 6 6 6 7 7 7 7 7 7 7 7 7 7 9 11 11 11 9 7 5 5 6 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 7 7 7 7 6 5 4 4 3 4 5 5 6 6 7 7 8 7 7 6 nan
nan 8 7 8 9 9 8 8 9 9 8 7 7 7 8 8 8 8 8 8 7 8 8 8 8 7 7 8 8 9 10 10 11 11 11 10 9 8 6 5 5 6 7 7 7 8 8 9 10 11 11 11 10 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 7 3 -1 -2 1 6 8 8 7 6 5 6 7 7 7 7 6 4 3 4 6 8 8 6 5 4 4 4 5 6 6 6 6 7 8 8 6 4 4 5 6 6 7 7 6 7 7 8 8 8 9 10 11 12 10 7 3 2 4 6 6 7 8 9 9 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 7 6 6 5 4 4 4 5 5 6 6 7 7 8 8 7 7 nan
nan 8 8 9 10 9 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 10 11 11 11 10 9 8 7 6 6 6 6 7 7 8 9 9 10 11 11 10 10 9 9 9 10 10 10 9 8 9 10 11 11 10 9 6 2 -2 -2 2 5 8 9 7 6 5 6 6 7 8 8 6 3 2 4 6 8 9 7 5 5 5 5 6 6 6 6 6 7 7 7 5 3 4 5 6 6 6 6 7 8 9 9 8 8 8 9 9 9 6 1 -3 -1 3 5 6 7 8 9 10 10 10 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 7 6 6 5 5 5 5 5 5 6 6 6 7 7 7 7 7 nan
nan 8 9 10 9 8 8 9 9 9 8 8 8 8 7 7 7 7 8 8 7 7 6 6 6 7 7 7 7 8 8 8 9 10 11 12 11 10 9 8 7 6 6 6 7 7 8 8 8 9 10 10 10 10 11 10 10 10 10 9 8 8 9 10 11 11 10 8 4 0 -2 -1 2 6 8 8 7 5 5 6 6 7 7 7 5 3 2 4 6 8 8 7 6 6 6 7 6 6 5 5 6 6 6 5 4 4 5 6 6 6 6 7 8 9 9 9 8 7 7 7 7 6 3 -3 -5 -1 3 6 6 7 8 10 11 11 11 10 9 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 6 6 5 5 5 5 5 5 6 6 6 6 7 7 7 8 nan
nan 9 10 9 9 8 9 9 9 9 8 8 8 8 7 7 7 8 8 8 7 6 5 4 4 5 6 7 7 7 7 8 8 9 10 11 11 11 10 9 8 7 7 6 6 7 8 8 7 7 8 9 10 11 11 11 10 10 9 8 8 8 9 10 10 10 8 6 2 -1 -1 1 4 7 8 8 6 5 5 6 7 7 7 6 5 4 4 4 5 7 8 8 7 7 7 7 7 6 6 5 6 6 5 5 5 6 6 6 7 7 7 8 9 9 9 8 7 7 7 7 6 5 1 -3 -2 3 6 7 7 7 8 10 12 12 11 10 9 8 8 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 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 6 6 7 7 8 nan
nan 11 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 4 5 5 6 7 7 7 7 7 8 8 9 10 10 10 10 10 9 7 7 7 7 8 8 7 7 7 8 9 10 11 12 11 10 9 9 9 9 9 10 10 9 7 4 1 -0 1 3 7 8 8 7 6 5 5 6 7 7 6 6 5 5 5 4 4 6 8 8 8 7 7 7 7 7 6 5 4 4 4 4 6 6 7 7 7 7 7 8 8 8 8 7 7 7 8 7 6 4 1 -0 4 9 11 10 8 8 9 11 12 13 12 11 9 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 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 7 7 8 nan
nan 12 11 10 10 10 9 9 9 8 8 8 8 9 10 10 10 9 9 8 8 7 7 6 6 5 5 5 6 6 6 6 6 7 8 8 9 9 10 11 11 10 8 7 7 8 8 8 8 7 7 7 8 9 10 11 12 11 10 10 9 9 9 9 9 8 6 4 2 2 3 7 9 10 9 7 5 4 5 6 7 7 7 6 6 5 4 4 4 6 8 9 8 7 7 7 7 6 6 4 3 3 4 5 6 7 7 7 7 7 7 8 8 8 7 7 7 8 8 7 6 5 4 7 11 14 14 11 10 10 10 11 12 12 12 11 9 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 nan
nan 12 11 11 10 9 9 8 8 8 8 8 9 10 11 10 10 9 8 8 8 8 7 7 7 6 5 5 5 6 6 6 6 6 7 8 8 8 9 10 11 10 8 8 7 8 9 9 9 8 7 7 8 9 9 10 11 11 11 11 10 10 9 9 8 7 6 5 4 5 7 9 11 11 9 6 5 5 5 6 7 8 8 7 5 4 4 5 6 8 8 8 8 7 6 6 6 7 6 5 4 5 6 7 7 7 7 7 7 7 7 8 8 8 7 8 8 8 7 7 7 7 9 12 15 15 13 11 11 11 11 11 11 11 11 10 9 8 7 7 6 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 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 7 7 7 8 nan
nan 10 10 10 9 9 8 8 9 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 6 6 6 7 7 7 7 8 9 9 8 7 7 8 9 9 9 8 7 7 8 8 8 8 9 10 11 11 11 11 10 9 8 7 6 5 5 7 9 11 11 9 7 6 5 6 6 6 7 8 8 6 4 3 4 6 8 8 7 6 7 7 5 5 7 8 8 7 6 6 6 7 7 7 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 10 11 12 11 11 11 11 10 9 9 9 10 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 nan
nan 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 7 7 6 6 5 5 6 7 8 8 7 7 7 8 9 9 8 7 6 7 7 7 7 8 9 10 10 10 10 10 9 8 7 7 5 6 8 11 11 9 7 6 6 7 8 7 7 7 7 6 5 4 4 5 7 7 5 4 5 7 6 5 5 8 9 9 8 7 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 8 8 9 9 8 8 8 9 8 7 6 5 6 8 9 9 9 8 8 7 7 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 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 nan
nan 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 6 5 5 6 7 8 8 7 8 8 8 9 8 8 7 7 6 6 7 7 7 7 7 8 8 8 8 7 7 6 6 7 9 11 10 8 7 7 8 9 9 8 7 7 6 6 5 4 5 6 6 5 3 3 6 7 6 5 6 7 8 7 7 6 6 7 8 9 9 8 8 8 9 8 8 8 9 9 9 9 11 11 10 8 8 7 7 7 6 5 5 3 2 -0 1 4 7 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 9 9 nan
nan 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 8 7 6 6 7 8 8 8 8 8 7 6 6 6 6 7 7 8 8 8 9 9 9 9 8 8 7 6 6 7 7 7 7 6 6 6 6 6 6 6 6 7 9 10 10 9 8 8 8 9 9 8 8 7 6 6 5 5 6 6 5 4 4 5 7 8 7 6 6 6 7 7 7 7 7 8 9 10 8 8 9 9 9 9 9 9 9 9 9 10 12 12 10 8 7 7 7 6 3 1 -0 -1 -3 -5 -1 4 7 9 10 10 10 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 nan
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nan 7 7 7 8 8 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 8 9 9 9 10 10 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 9 9 9 9 8 7 6 6 6 7 9 9 7 6 6 7 7 8 8 7 6 6 7 7 8 9 9 10 11 10 10 10 9 9 10 11 11 10 9 8 8 7 8 10 12 12 12 12 12 11 10 10 10 11 11 12 11 9 7 8 10 12 13 13 13 13 12 11 9 9 9 10 11 11 11 11 12 13 15 15 15 14 13 14 16 18 20 21 22 22 22 21 20 19 18 17 16 15 14 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 nan
nan 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 8 9 9 9 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 6 5 6 7 8 8 7 7 7 8 9 9 9 7 5 5 5 6 6 7 8 9 9 8 8 7 6 6 6 7 7 7 7 7 7 8 11 13 13 12 12 11 11 11 10 10 10 10 10 10 8 5 5 7 9 10 10 10 11 12 13 13 12 11 12 13 12 10 9 11 13 16 16 15 14 14 15 17 21 23 24 24 24 24 25 26 27 27 26 25 22 19 16 14 14 14 13 13 13 13 13 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 nan
nan 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 8 8 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 6 6 6 6 7 8 9 9 9 9 10 11 11 11 9 8 7 7 7 6 6 6 6 6 5 4 4 4 5 6 6 5 4 4 5 8 11 13 13 12 11 11 11 10 10 10 10 10 10 10 8 5 4 5 8 9 9 8 9 9 10 11 12 13 14 15 16 14 12 12 13 14 14 13 12 12 12 14 15 17 18 18 17 15 15 16 19 22 25 26 25 23 19 17 16 16 16 14 13 13 13 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 6 6 7 8 8 8 9 9 9 8 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 8 8 8 9 8 8 8 8 8 8 7 7 7 8 8 9 9 9 8 8 8 7 7 7 6 7 7 8 9 9 10 10 11 11 12 12 12 11 10 10 10 10 8 7 6 4 3 3 4 6 8 9 10 8 6 4 4 7 10 12 12 12 11 11 11 11 11 11 11 11 12 11 10 8 5 5 7 9 10 9 8 8 9 9 10 11 12 13 14 15 14 14 15 14 13 11 10 11 11 12 13 13 13 13 12 10 8 7 6 7 8 10 12 12 11 11 13 17 18 16 14 13 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 nan
nan 6 6 7 8 8 8 9 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 9 9 8 7 7 7 7 7 7 7 7 8 9 9 9 9 8 7 7 7 7 7 7 7 8 9 9 9 9 10 11 12 13 14 13 12 11 11 11 11 11 11 9 6 4 4 6 9 11 12 11 9 8 9 10 12 13 12 12 11 11 12 12 12 12 12 12 12 12 11 10 8 7 7 9 11 11 9 9 9 10 10 10 10 10 11 11 11 12 13 13 12 11 10 11 11 12 13 13 13 13 12 12 12 12 12 9 5 3 1 1 -1 1 4 9 14 15 12 11 11 12 12 12 12 11 11 11 11 10 10 10 11 11 11 12 12 12 12 12 12 13 nan
nan 6 7 7 8 8 8 8 8 8 8 8 9 9 8 8 7 8 8 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 8 7 7 6 6 7 7 7 7 8 8 9 9 9 8 8 7 7 7 7 8 8 8 9 9 9 9 8 8 10 12 14 14 13 11 11 11 11 11 12 12 10 7 6 6 8 10 11 11 10 11 12 14 16 16 14 13 12 12 12 12 12 12 11 11 11 11 10 9 8 7 7 8 10 11 11 11 10 11 11 11 10 10 10 9 9 9 10 10 11 11 11 10 10 10 11 12 13 13 14 14 16 17 19 20 20 17 14 11 9 7 8 11 13 13 11 11 13 14 14 14 13 13 13 12 12 12 12 12 14 15 14 14 14 14 13 13 13 13 13 nan
nan 7 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 8 9 9 9 8 8 8 8 9 9 9 10 10 10 11 11 10 10 9 8 8 8 8 9 9 9 9 9 9 8 7 6 6 6 6 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 9 9 8 7 6 6 6 7 9 11 13 13 11 11 11 11 11 11 11 9 7 6 6 8 10 11 11 10 11 13 14 16 16 15 14 13 13 13 12 12 11 11 10 10 9 9 8 7 7 7 7 8 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 10 10 9 8 9 10 11 13 14 15 16 17 19 21 23 25 25 24 23 24 26 27 27 23 21 21 21 22 21 19 18 16 15 14 14 15 17 21 22 21 18 16 15 14 14 13 13 13 13 nan
nan 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 8 9 10 10 10 10 10 10 11 11 11 10 9 9 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 7 6 5 3 1 1 1 3 5 7 9 10 10 10 11 11 11 10 10 8 6 5 6 9 11 13 13 12 11 11 12 13 14 14 14 14 13 13 12 11 11 10 10 10 9 8 7 7 6 7 7 7 7 8 9 9 10 10 10 10 9 9 10 10 11 11 11 10 10 10 10 10 10 9 9 9 10 11 12 13 14 14 14 14 16 18 21 24 25 26 28 30 31 30 28 28 28 28 28 28 27 25 22 21 20 19 20 23 26 26 23 19 16 14 14 13 13 13 13 13 nan
nan 9 8 8 8 8 8 8 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 9 10 10 9 9 8 9 10 11 11 11 10 9 9 9 9 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 6 4 3 1 -2 -3 -4 -3 -1 1 2 3 4 5 6 9 11 12 11 9 8 6 5 7 9 12 15 15 14 12 11 11 11 12 12 13 13 13 13 12 11 11 10 10 9 8 7 6 6 6 6 7 7 7 7 8 8 9 9 9 9 9 9 10 11 11 12 12 11 10 10 9 9 10 10 11 12 12 11 11 11 11 12 12 12 12 12 13 14 16 18 19 20 20 20 20 20 21 22 23 25 26 27 27 26 27 27 27 25 23 21 19 18 17 18 17 15 15 14 13 13 13 nan
nan 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 9 7 5 5 7 10 11 12 11 11 10 10 10 10 10 9 9 9 9 8 8 7 6 6 6 7 7 8 8 8 9 9 9 9 9 10 9 8 5 3 0 -1 -3 -4 -3 -2 -0 1 2 2 2 2 3 5 7 9 8 7 6 6 6 7 9 12 14 15 14 13 11 11 11 11 12 12 13 13 12 11 11 10 10 9 9 8 7 6 6 6 6 6 6 5 6 7 7 7 8 8 9 9 9 9 10 11 12 12 11 11 10 9 9 9 9 10 11 12 12 12 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 12 13 14 16 17 19 21 24 27 29 29 27 23 19 17 18 21 23 23 21 19 16 14 12 12 nan
nan 8 8 8 8 8 9 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 10 10 9 6 2 1 3 6 9 11 11 12 12 11 11 10 10 10 10 9 9 9 8 7 6 6 6 6 7 8 8 8 9 9 9 9 9 10 10 8 6 4 1 -0 -1 -0 0 2 3 5 6 6 6 6 6 6 6 5 3 0 -1 0 2 4 7 10 12 12 11 10 9 9 10 11 11 12 11 11 11 11 10 10 9 9 8 7 7 6 6 6 6 6 5 4 3 4 5 4 5 6 8 10 10 10 10 12 12 12 12 11 10 9 9 9 9 10 10 11 12 12 12 12 12 13 12 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 12 14 18 20 22 23 24 24 22 20 20 21 21 21 19 16 13 11 10 10 nan
nan 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 9 9 10 10 10 9 6 2 0 1 4 7 9 10 11 12 13 12 11 11 11 10 10 9 9 9 8 7 6 6 6 7 7 8 8 9 9 9 9 9 9 9 9 7 6 5 4 4 5 6 6 7 8 8 8 9 9 10 10 9 7 4 -0 -4 -5 -4 -2 1 5 8 9 8 8 7 7 7 8 9 9 9 9 9 10 10 9 9 8 8 7 7 7 7 6 5 4 3 3 3 4 5 4 4 5 8 11 11 11 10 11 13 12 12 11 10 10 9 9 10 10 11 11 11 11 12 12 14 15 15 13 10 10 9 9 9 9 8 8 9 10 10 9 9 9 10 10 10 10 10 11 12 13 14 15 16 18 20 19 16 12 8 6 5 6 6 6 7 8 8 nan
nan 8 9 9 9 9 8 8 8 8 8 7 7 7 7 7 8 8 9 10 10 10 9 7 3 0 0 3 6 8 9 9 10 12 13 13 13 12 11 10 10 10 9 9 8 7 7 7 7 7 7 7 8 9 10 10 10 10 10 9 9 8 9 10 10 11 12 13 13 13 13 12 11 10 10 10 10 9 8 5 2 -0 -1 -1 -0 1 3 3 4 5 7 9 9 8 7 7 6 6 7 8 9 9 9 9 8 8 7 7 7 6 4 1 0 -0 1 3 5 7 7 9 12 14 14 12 9 9 11 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 12 13 15 14 11 9 9 9 9 8 8 8 9 10 10 10 10 11 11 10 10 11 11 11 12 12 13 13 12 13 13 13 12 8 3 -1 -4 -3 -1 1 3 6 7 8 nan
nan 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 9 10 10 9 8 5 1 -0 1 4 7 9 9 9 10 11 13 15 15 14 12 10 10 9 9 9 8 7 8 8 8 8 7 7 8 9 10 10 10 10 10 10 10 10 11 13 14 15 16 17 17 17 16 14 12 11 10 10 9 8 7 6 5 5 5 5 5 4 3 2 2 4 7 8 8 8 7 6 4 5 6 7 8 8 8 9 9 8 7 7 5 3 1 1 1 2 4 6 8 10 12 15 17 17 14 11 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 11 10 10 11 11 10 9 8 8 9 10 10 11 12 12 12 11 11 11 11 12 12 13 13 12 11 11 10 9 6 2 0 -0 1 1 2 4 5 7 8 8 nan
nan 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 4 0 0 3 6 8 9 9 9 9 10 13 15 16 15 12 10 10 9 9 8 7 7 8 8 8 8 7 8 9 9 10 10 10 10 10 10 10 11 12 14 14 15 15 15 14 13 13 12 12 12 12 11 9 8 7 7 7 7 8 8 8 7 7 6 6 6 6 5 3 3 4 5 5 6 7 8 8 8 8 9 8 7 6 5 3 2 3 6 8 10 10 10 12 14 16 16 15 14 12 11 11 11 11 10 10 9 9 9 9 9 8 7 7 8 8 9 9 9 9 10 10 9 10 11 12 12 11 10 10 10 10 11 11 13 13 13 12 12 11 11 11 11 12 12 11 10 9 8 6 3 -0 -1 -1 2 5 6 6 7 8 8 9 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 7 3 0 1 3 6 8 9 9 9 9 10 12 14 16 15 13 11 10 9 8 7 7 7 8 8 8 8 8 9 10 10 10 9 10 10 10 10 11 12 13 13 13 12 11 10 7 6 7 8 11 13 13 12 11 10 9 8 8 8 8 9 9 9 10 10 10 9 7 4 1 1 3 4 6 7 8 8 8 8 8 7 6 5 4 4 4 6 9 11 12 12 10 11 13 14 13 12 11 11 12 13 13 12 11 10 8 6 7 7 7 6 5 5 5 6 6 7 7 8 8 9 8 8 9 9 10 12 12 12 12 12 12 11 12 13 13 13 12 11 11 11 11 11 11 11 10 9 8 6 2 -2 -4 -3 1 4 7 7 8 9 9 9 9 10 nan
nan 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 6 2 1 2 4 7 8 9 9 9 9 9 11 13 15 15 14 12 10 8 7 7 7 8 8 8 8 8 9 10 10 10 10 9 9 9 10 10 11 13 13 12 12 10 8 5 3 2 4 7 10 12 13 13 13 13 11 10 10 10 10 10 11 11 11 12 12 12 10 9 7 6 6 6 6 6 6 6 6 6 6 4 3 3 3 3 5 7 8 8 7 6 6 8 10 10 8 7 8 10 11 12 12 12 10 9 7 7 7 8 7 6 6 6 8 8 8 8 8 8 8 7 7 7 7 7 9 11 13 13 13 13 12 11 12 12 12 11 11 10 10 10 11 11 11 10 10 10 10 7 3 1 2 4 6 8 9 9 10 10 10 10 10 11 nan
nan 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 5 2 1 2 5 7 8 8 8 9 9 9 10 12 14 16 16 13 10 8 8 8 9 9 9 8 8 9 10 11 11 11 10 10 9 9 9 10 11 12 12 11 10 9 7 5 5 6 9 11 12 12 12 13 14 14 14 13 13 13 13 14 14 14 15 16 17 16 15 13 12 11 9 7 6 4 4 4 4 5 4 4 3 2 2 3 4 5 4 4 4 5 7 10 11 9 7 7 9 10 10 9 9 8 8 8 10 11 12 10 9 8 9 10 12 12 11 10 10 8 7 6 6 6 7 8 11 13 14 13 13 12 11 10 11 10 10 10 10 10 10 10 10 11 11 11 11 11 12 11 11 12 13 13 13 12 11 11 11 11 11 11 11 11 nan
nan 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 8 6 3 2 3 5 7 8 8 8 9 9 9 10 11 14 16 16 13 10 9 9 10 10 9 9 8 9 10 11 12 12 11 11 10 9 9 9 9 10 10 10 10 9 8 7 8 11 13 15 15 13 12 11 12 12 13 14 16 17 18 18 19 20 20 21 22 22 20 18 15 13 12 10 9 6 5 4 3 3 4 5 6 5 5 4 4 5 5 5 6 8 12 14 16 14 12 11 11 12 12 10 8 7 6 7 10 13 14 12 9 8 7 8 9 11 11 11 10 8 6 5 5 6 7 8 11 13 15 14 13 12 11 10 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 12 15 18 20 19 16 14 12 11 11 11 11 11 11 11 11 nan
nan 7 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 6 3 2 3 5 7 8 8 8 9 9 9 10 11 13 16 16 14 12 11 11 11 10 9 8 9 10 11 12 12 12 11 10 9 9 8 8 9 9 9 9 8 7 7 8 10 13 14 14 13 11 11 10 10 10 11 12 14 16 19 21 22 23 23 23 22 21 20 18 16 15 14 12 11 10 8 7 6 5 7 9 9 9 9 8 8 8 9 9 11 14 16 18 17 14 12 12 13 13 13 11 9 8 7 10 12 12 10 7 5 6 6 6 7 8 9 8 7 5 4 5 7 8 9 10 12 14 14 13 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 13 16 17 16 13 11 9 10 11 11 11 11 11 11 11 11 nan
nan 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 6 2 1 2 5 7 8 8 9 9 9 9 10 10 13 16 17 16 15 13 12 10 9 8 9 10 10 11 11 11 10 9 9 8 8 9 9 9 9 9 8 7 7 7 8 10 11 11 10 10 9 9 9 9 8 9 10 11 14 18 20 20 20 19 18 16 15 15 16 17 17 16 15 15 14 14 13 13 14 15 15 14 13 11 11 10 10 10 11 13 14 15 14 12 11 11 12 12 12 11 10 9 8 8 10 9 7 5 3 4 6 7 8 8 8 8 6 5 5 6 8 10 11 11 12 13 13 13 12 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 12 13 14 12 8 6 5 6 9 11 11 11 11 12 12 12 12 nan
nan 7 7 7 7 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 8 5 1 1 2 5 7 8 8 9 9 9 10 10 11 14 18 18 18 16 13 11 9 9 9 9 10 10 10 10 10 9 8 8 8 9 9 10 10 10 9 8 8 7 8 9 10 10 9 8 7 6 6 6 7 7 8 9 12 15 17 18 17 15 13 11 10 10 12 14 15 16 15 15 16 16 16 16 18 20 21 19 16 13 11 10 10 10 11 12 13 13 13 11 9 9 9 10 10 10 9 9 8 8 8 8 7 5 4 5 7 9 10 10 10 10 9 8 9 10 12 13 12 12 12 13 13 12 11 11 10 10 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 11 12 12 11 9 7 7 8 10 11 12 12 12 12 12 12 12 12 nan
nan 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 10 8 4 1 0 2 5 7 8 8 9 9 9 10 10 12 16 19 19 18 15 11 9 8 8 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 8 8 8 9 10 10 10 9 6 4 2 2 3 5 7 9 12 15 17 18 16 13 11 9 8 9 10 11 13 13 12 13 13 12 12 12 13 14 16 15 14 12 10 10 10 10 11 12 13 14 15 13 10 8 8 8 8 8 7 7 8 7 8 9 10 10 9 9 10 11 11 11 12 13 13 13 14 15 16 17 16 14 13 13 12 11 10 11 11 11 10 9 8 7 8 8 9 10 11 11 11 10 10 10 10 10 10 11 11 10 10 12 13 14 15 13 13 13 13 13 13 13 13 13 nan
nan 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 7 3 0 -0 1 5 7 8 8 9 9 9 10 12 15 19 21 20 16 12 10 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 9 9 8 8 9 9 9 10 10 9 8 4 0 -1 -1 1 4 7 10 14 17 17 16 13 11 9 8 8 9 11 12 12 12 12 12 11 9 7 6 6 7 8 8 7 7 8 9 10 11 12 13 13 13 12 9 5 4 4 4 4 5 6 7 8 9 10 12 14 15 15 15 15 15 14 15 15 16 17 17 18 18 17 16 15 14 14 13 11 10 10 11 12 11 10 9 8 8 8 9 10 11 11 11 10 10 10 10 10 11 11 11 11 11 12 14 16 17 16 15 13 14 14 13 13 13 13 13 nan
nan 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 9 9 6 2 -0 -1 2 5 7 8 8 9 9 9 11 14 19 22 21 18 13 10 10 10 10 10 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 8 6 2 -0 -1 -0 2 5 9 13 16 17 16 14 11 9 8 8 9 10 11 12 12 12 12 11 8 5 3 0 0 2 3 3 3 4 5 6 7 9 11 10 8 6 2 -2 -4 -4 -2 -2 -0 2 4 7 9 11 13 15 16 17 18 18 18 18 17 18 18 18 17 16 15 14 13 12 12 12 12 12 10 10 10 11 12 12 11 10 9 9 9 10 10 11 10 10 10 10 10 10 11 11 11 11 11 11 12 14 15 17 17 16 15 14 14 14 14 14 14 14 nan
nan 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 7 3 0 -1 2 5 7 8 8 9 9 10 12 16 21 22 19 14 11 10 11 12 11 10 9 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 3 1 -0 1 2 6 9 13 16 17 17 15 13 10 9 8 8 9 10 11 11 11 11 11 9 6 5 3 3 3 3 3 3 2 2 2 3 4 6 5 3 0 -3 -5 -6 -6 -4 -3 -3 -2 -1 2 4 7 10 12 14 15 15 16 17 17 17 17 17 17 16 14 13 11 10 10 10 10 10 11 10 10 10 10 11 12 12 12 11 10 10 9 10 10 10 10 10 9 10 10 10 11 11 11 11 11 11 12 12 14 16 17 17 16 15 14 14 14 14 14 14 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 4 0 -1 1 4 6 7 8 9 9 10 13 17 21 19 14 11 10 12 13 13 11 9 9 9 9 10 11 12 12 12 12 11 11 11 10 10 9 9 8 8 8 8 7 7 7 5 2 0 0 2 6 9 12 15 18 19 17 15 12 10 8 8 9 10 10 10 10 10 10 10 9 10 11 11 11 10 9 7 6 6 5 5 6 6 5 3 -0 -2 -3 -2 -0 2 4 4 4 3 3 3 4 5 5 5 8 11 14 15 14 13 13 13 12 12 12 11 10 10 9 9 9 10 10 10 10 9 9 11 12 13 13 12 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 14 16 16 17 17 15 14 14 14 14 14 14 nan
nan 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 9 6 1 -2 -0 2 5 7 8 9 9 10 13 17 18 15 12 11 13 14 13 11 9 8 8 9 10 11 12 13 13 12 12 11 11 10 9 7 5 5 5 5 6 6 6 7 6 4 2 1 1 5 8 11 13 17 21 21 18 15 12 9 8 9 9 10 10 9 9 10 10 11 12 14 16 17 16 15 14 13 12 12 12 13 13 12 9 6 4 4 5 6 8 9 10 10 10 10 10 9 7 5 4 5 9 13 15 14 12 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 11 12 13 13 13 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 14 14 16 16 15 15 15 15 15 15 15 nan
nan 8 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 7 3 -1 -1 1 4 7 8 9 9 10 13 16 16 15 14 15 15 14 11 8 7 7 9 10 11 12 12 12 12 11 10 10 10 9 7 3 1 0 1 3 5 6 7 7 7 4 2 1 3 6 9 11 14 19 23 22 19 15 11 9 9 10 10 10 10 10 10 10 11 12 13 14 15 15 16 16 17 17 17 17 17 16 16 14 12 10 9 10 10 11 11 12 13 14 15 15 14 13 11 9 9 12 16 18 16 12 10 9 8 9 10 11 11 11 10 9 9 9 9 9 9 9 9 9 10 11 12 13 13 12 11 11 11 10 10 10 10 11 12 12 12 11 11 11 12 12 12 13 13 12 13 13 12 13 15 16 17 18 19 20 20 19 18 nan
nan 9 10 10 10 9 9 9 9 9 10 10 9 8 8 8 8 8 8 8 9 9 8 5 1 -2 -0 3 6 8 9 9 10 12 15 16 16 17 17 15 12 10 8 7 8 10 11 12 12 12 12 11 10 10 10 11 10 7 4 1 1 2 4 6 7 8 8 6 4 1 1 4 7 9 12 15 21 23 21 18 14 11 10 10 10 11 11 11 10 10 11 11 12 12 11 11 12 13 15 16 18 19 19 18 17 16 15 14 13 13 13 13 14 15 16 17 18 19 18 16 14 13 12 14 16 18 17 13 9 8 7 7 9 11 11 11 10 9 9 9 9 9 9 9 9 9 10 11 12 12 12 11 10 11 11 11 10 10 10 10 11 11 11 11 11 11 12 12 13 13 13 13 13 13 12 12 13 15 16 20 24 27 28 26 24 23 nan
nan 9 10 10 10 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 9 9 8 6 2 -1 -1 2 6 8 9 9 10 11 14 16 18 19 17 14 12 10 9 9 10 11 12 13 12 12 11 11 11 12 13 12 12 10 8 7 6 5 6 7 6 6 5 3 0 -1 1 5 8 10 12 16 20 21 19 16 12 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 11 12 13 14 15 16 16 16 16 17 17 16 16 15 16 17 18 20 21 22 22 21 19 16 14 13 13 15 16 17 15 12 9 8 8 10 12 13 12 11 10 9 9 9 9 9 9 9 9 10 11 11 11 11 9 8 10 12 13 12 11 10 10 10 10 11 11 11 11 12 12 13 13 14 14 14 14 13 12 12 13 13 16 21 26 29 29 28 28 29 nan
nan 9 9 9 9 8 8 8 9 10 10 11 11 10 10 9 9 8 8 8 8 9 9 7 3 -1 -1 1 5 8 9 9 9 11 13 16 19 20 16 14 12 11 10 10 10 11 12 12 12 11 11 12 14 14 14 13 12 12 12 11 10 8 8 6 4 3 1 -1 -2 -0 3 7 10 11 13 16 18 19 17 14 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 12 12 11 11 11 11 11 12 13 14 15 15 15 16 17 19 21 23 22 22 21 19 17 15 14 14 15 17 19 20 18 15 12 11 12 14 14 13 12 10 9 9 9 9 9 9 9 9 9 10 10 11 10 8 7 8 11 14 14 12 11 10 10 10 10 10 10 11 12 12 13 13 13 13 14 14 13 13 12 11 12 13 15 18 21 22 22 24 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
2 2 2 2 2 2 1 1 1 2 3 3 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 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 12 15 18 23 22 21 18 15 12 8 4 1 2 1 0 0 1 1 0 1 1 2 3 5 8 11 10 8 7 12 16 20 24 27 30 36 51 59 67 74 78 80 82 89 104 120 123 125 116 112 122 136 144 146 174 211 244 270 290 281 257 354 429 464 490 519 536 528 486 446 433 421
2 2 2 2 2 1 1 2 1 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 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 1 2 4 4 4 4 6 5 4 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 0 0 2 6 12 16 18 20 21 27 32 37 41 43 43 50 56 62 69 72 74 70 66 66 74 80 89 106 125 142 163 193 197 216 262 312 355 380 393 398 399 385 375 393 419
2 1 1 2 1 1 0 1 0 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 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 2 5 7 10 11 13 15 17 19 20 21 20 20 25 29 35 41 43 43 40 39 42 46 55 65 78 93 110 129 135 145 150 167 189 204 218 228 226 249 295 352 412
1 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 1 2 4 7 9 10 12 12 12 11 11 10 12 13 14 17 19 24 23 22 24 27 29 30 34 41 46 55 62 70 79 87 95 105 116 125 139 168 208 256 317
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