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 9 9 10 11 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 7 7 6 6 7 8 8 8 8 8 7 7 7 6 6 6 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 9 9 9 9 9 8 8 7 6 4 -1 -6 -5 0 6 7 7 7 6 6 6 7 8 8 8 8 8 9 9 9 8 8 7 7 7 6 7 7 7 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 4 3 3 4 4 5 5 5 5 5 5 5 4 4 4 4 5 6 6 6 6 6 5 5 5 6 6 7 9 9 8 7 5 3 1 -0 -1 -1 2 6 12 18 25 32 36 35 nan
nan 9 9 10 10 10 10 9 8 8 8 8 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 6 6 6 7 7 7 7 6 6 6 6 6 5 6 6 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 7 5 0 -5 -8 -4 2 5 6 6 5 6 6 7 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 4 4 4 4 4 4 4 4 4 3 3 4 4 4 4 4 5 5 5 5 4 4 4 4 4 5 5 6 6 6 5 5 4 5 5 5 6 7 7 7 6 5 4 3 1 -1 -1 1 4 8 16 21 24 nan
nan 10 11 11 10 10 9 8 7 7 7 7 6 6 7 7 7 7 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 6 5 4 5 5 5 4 5 6 6 6 6 5 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 8 8 8 8 7 8 8 8 8 6 2 -4 -9 -8 -3 2 4 5 5 6 6 6 6 6 6 7 7 8 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 6 5 5 4 4 4 4 4 5 6 7 7 7 8 6 4 2 1 0 0 3 7 10 nan
nan 11 11 11 9 8 7 7 7 6 6 6 6 6 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 4 5 4 3 3 4 5 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 7 6 6 7 7 7 7 7 7 8 8 8 8 5 -1 -7 -9 -7 -3 1 4 4 5 5 5 5 5 6 6 7 7 8 8 7 7 7 6 6 6 6 7 7 7 8 8 8 8 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 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 4 4 5 5 6 6 7 8 7 7 5 4 2 1 1 2 nan
nan 11 10 9 8 7 7 6 6 7 7 7 7 7 7 7 7 6 7 7 8 9 8 8 7 7 7 7 7 8 8 9 9 9 8 7 7 7 6 6 6 5 3 3 4 6 8 8 7 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 9 9 8 7 6 6 7 7 8 8 7 7 7 8 8 8 7 3 -2 -7 -9 -7 -3 1 3 3 4 4 5 5 5 6 6 7 7 8 7 7 7 6 6 6 6 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 6 6 5 6 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 6 6 6 6 6 6 6 5 5 5 4 5 5 5 6 7 7 7 6 5 4 3 nan
nan 11 9 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 8 9 9 9 8 8 8 8 8 9 10 10 11 11 11 10 9 8 8 8 7 6 4 5 6 8 9 9 8 7 6 6 6 7 7 7 7 7 7 7 8 8 8 7 7 8 9 8 7 6 6 7 7 8 8 8 8 8 8 8 8 7 6 2 -2 -6 -8 -7 -4 -1 1 2 3 4 4 5 5 6 6 7 7 8 8 7 7 6 6 7 7 7 8 8 7 7 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 5 5 4 4 4 5 5 6 7 8 8 7 nan
nan 11 10 8 8 7 7 7 8 8 8 7 7 7 6 6 6 6 6 7 8 9 10 10 10 10 10 10 10 10 10 10 11 11 11 12 11 11 10 10 9 7 7 7 8 8 8 9 10 9 7 6 6 6 6 6 6 7 8 8 8 8 8 7 8 9 9 9 8 7 6 6 7 7 7 7 8 8 9 8 8 8 7 5 2 -1 -4 -7 -7 -5 -3 -1 -0 1 3 4 4 5 6 7 7 8 8 7 7 6 6 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 7 6 6 5 5 5 5 5 5 7 7 8 nan
nan 10 10 9 8 7 7 7 8 8 8 7 7 6 6 6 6 5 6 6 7 8 9 10 10 11 11 11 10 10 9 8 8 9 9 11 11 11 10 10 10 9 9 8 8 8 8 10 10 9 7 6 6 6 7 7 7 7 8 8 9 8 7 8 8 9 9 9 8 7 6 6 6 7 7 7 7 8 8 8 8 8 7 6 4 3 1 -2 -5 -6 -6 -6 -5 -3 0 3 4 5 6 6 7 8 8 7 7 7 6 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 6 6 6 6 6 6 6 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 6 6 6 6 6 6 7 7 7 7 7 7 6 6 5 5 5 6 7 nan
nan 9 9 9 9 8 7 7 8 8 8 7 7 7 6 6 5 5 5 5 6 8 8 8 8 9 10 10 10 9 8 7 7 7 8 9 9 9 8 8 9 9 9 8 7 8 9 9 9 8 7 6 6 7 8 9 8 7 7 8 9 8 7 7 8 8 8 9 9 8 6 5 6 6 7 7 7 8 8 7 8 8 7 6 4 4 4 3 1 -1 -4 -7 -9 -8 -4 0 3 4 5 6 7 8 8 7 7 7 7 6 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 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 6 6 5 5 nan
nan 8 8 9 8 8 7 7 8 7 7 7 7 7 6 6 5 4 5 6 7 8 8 8 7 7 8 9 9 8 8 7 7 8 8 9 8 7 7 7 8 8 8 7 7 7 8 9 8 8 7 6 6 7 8 8 7 7 7 8 9 8 7 7 7 6 6 7 8 8 7 6 6 6 7 7 7 7 8 7 7 8 8 7 5 4 5 5 5 4 2 -2 -8 -11 -9 -4 -0 3 4 6 7 7 8 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 6 nan
nan 7 7 8 8 7 7 7 7 6 6 6 6 6 5 4 4 4 5 8 9 9 9 8 7 7 7 8 8 8 8 7 8 8 9 9 8 7 7 7 7 7 7 7 6 7 7 8 8 7 7 6 6 7 7 7 7 7 7 8 8 8 7 7 7 6 5 6 7 8 8 7 6 6 6 7 7 8 8 7 7 8 9 8 7 5 5 6 6 6 5 3 -3 -8 -10 -9 -5 -1 2 5 6 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 8 8 7 nan
nan 7 6 7 7 7 7 7 6 6 6 6 6 5 4 3 4 5 7 9 10 9 9 8 8 7 7 7 8 8 8 7 8 8 9 10 9 7 7 7 7 7 7 7 7 7 7 7 8 7 7 6 7 7 7 7 7 7 7 7 8 7 7 7 7 7 6 6 6 7 8 7 7 6 7 7 7 8 8 7 7 7 9 9 7 6 6 6 6 6 5 5 2 -2 -7 -9 -10 -7 -2 2 5 6 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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 7 7 7 7 7 7 7 6 6 6 6 7 7 7 8 nan
nan 7 7 6 6 7 7 7 6 6 6 6 5 4 4 4 5 8 10 11 10 9 9 8 8 8 8 7 7 7 7 7 7 8 9 9 9 8 7 7 8 8 8 8 8 7 7 7 7 8 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 7 6 6 6 7 7 8 8 8 8 8 9 9 7 6 7 8 8 7 6 6 6 6 5 5 5 5 3 -1 -5 -9 -11 -8 -3 1 5 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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 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 nan
nan 9 8 7 7 7 7 7 7 6 6 5 4 4 4 5 7 10 12 11 10 9 9 9 9 9 9 8 8 7 7 6 7 7 8 9 9 8 8 7 8 8 8 8 8 8 7 7 8 8 7 7 7 8 8 8 9 9 8 7 7 7 8 8 8 7 7 7 6 5 6 7 8 9 9 9 9 9 8 7 5 7 8 8 7 7 6 6 6 6 5 6 6 6 4 1 -4 -9 -11 -9 -4 1 5 7 7 6 6 6 6 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 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 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 6 6 nan
nan 9 9 8 8 7 7 7 7 6 5 4 4 5 5 7 9 11 11 10 9 8 8 8 9 9 9 9 8 7 7 7 7 8 8 8 9 9 8 7 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 9 9 9 8 8 8 7 7 8 8 7 7 7 6 5 6 7 8 9 9 9 9 9 7 5 5 7 8 8 7 6 6 7 7 7 6 6 6 6 5 5 2 -2 -8 -11 -10 -3 3 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 7 7 7 6 6 6 6 6 5 nan
nan 9 9 8 8 7 7 7 6 6 5 4 5 5 6 8 10 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 9 9 8 7 7 7 8 8 8 8 9 9 8 8 8 8 8 7 8 9 9 9 8 8 7 7 7 8 8 7 7 7 6 6 6 7 8 8 9 9 9 8 6 5 5 7 7 8 7 6 7 8 8 8 7 7 6 6 6 5 5 3 -3 -10 -12 -8 -1 3 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 6 6 6 nan
nan 9 8 8 7 7 7 7 6 6 6 6 6 6 7 8 10 10 9 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 8 8 8 7 7 6 7 7 8 8 8 8 9 9 8 8 8 7 7 8 9 10 9 8 8 7 7 7 8 7 7 7 6 6 6 7 7 6 6 7 8 8 8 7 6 6 7 7 7 7 7 8 8 8 7 7 6 6 6 6 6 6 5 1 -5 -10 -10 -4 0 2 3 4 4 4 4 4 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 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 nan
nan 8 9 8 8 7 7 7 6 6 6 7 7 6 7 8 10 10 9 8 7 7 7 7 7 7 7 8 8 8 7 6 7 8 8 8 8 7 7 6 6 6 7 7 8 8 8 9 9 9 8 8 7 7 8 10 10 9 8 7 7 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 6 7 7 7 6 6 4 -0 -6 -8 -6 -2 0 1 2 3 3 2 3 4 4 5 5 5 6 6 6 6 6 6 7 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 9 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 7 7 8 8 7 nan
nan 9 9 9 8 7 7 7 7 7 7 7 7 7 7 9 10 10 9 8 7 7 7 7 7 7 8 8 8 9 8 7 6 7 7 8 8 7 7 6 6 6 6 7 7 8 8 8 9 9 8 7 7 7 8 10 10 9 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 8 8 8 8 9 9 9 8 7 6 6 6 6 7 7 8 7 7 7 6 4 -0 -4 -4 -3 -2 -0 1 2 1 1 1 2 3 4 5 5 5 6 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 9 9 8 8 8 8 7 7 7 7 8 8 8 9 10 10 9 8 7 7 7 7 7 7 8 8 9 10 9 8 8 7 7 7 8 8 8 7 6 6 5 6 6 6 7 8 8 8 8 7 7 7 8 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 8 7 6 6 6 6 7 7 7 8 8 8 7 6 6 4 2 -0 -2 -2 -0 2 2 1 -1 -1 -0 2 4 5 5 5 5 5 5 5 6 6 6 7 7 7 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 nan
nan 8 9 9 8 8 8 7 7 7 7 8 8 8 8 9 10 9 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 7 7 8 8 9 8 7 6 6 5 5 5 5 6 7 8 8 8 7 7 7 8 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 9 9 8 8 7 7 6 6 7 7 8 7 8 8 8 7 6 6 6 6 4 2 1 2 4 3 1 -2 -4 -3 -0 2 4 5 5 5 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 10 10 9 9 9 8 8 8 8 7 7 7 7 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 7 7 7 8 8 8 8 8 8 8 9 nan
nan 9 9 9 9 8 7 7 7 7 8 8 8 8 8 9 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 9 10 9 8 7 6 6 6 6 6 6 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 7 7 8 9 8 8 8 9 9 9 9 9 9 7 7 7 7 8 8 8 8 8 8 7 5 6 6 7 6 6 5 6 6 5 2 -2 -6 -5 -2 1 2 4 5 5 5 5 5 5 6 6 7 7 7 7 8 8 9 9 9 9 9 9 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 nan
nan 10 10 9 9 8 7 7 7 7 8 8 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 7 7 8 9 9 9 9 8 8 8 8 9 9 9 8 7 7 8 8 8 8 8 9 8 7 6 6 7 7 8 8 8 7 7 6 4 -0 -5 -5 -3 -1 1 2 4 5 5 5 5 5 6 6 7 7 7 7 8 8 8 9 9 9 9 8 7 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 10 10 10 9 8 7 7 7 7 7 7 8 9 9 10 10 9 9 8 8 8 8 8 8 9 8 8 7 7 7 8 8 8 8 8 8 9 10 11 11 10 10 9 9 8 8 8 9 10 11 11 10 10 10 10 9 9 10 10 10 9 8 7 6 6 6 6 6 6 7 8 8 7 8 8 9 9 9 9 8 8 8 8 8 9 8 8 7 7 7 8 8 8 9 9 8 7 7 7 7 8 8 9 8 8 7 6 5 3 0 -1 -1 -2 -1 1 3 4 5 5 5 6 6 6 7 7 7 7 7 8 8 8 9 8 8 7 7 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 nan
nan 10 10 9 9 8 8 7 7 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 8 10 11 11 10 9 9 8 8 8 8 10 11 11 11 11 10 9 9 10 10 11 11 10 9 7 7 6 7 6 5 6 7 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 8 8 7 7 7 8 8 9 9 9 7 7 7 7 8 8 9 9 9 8 7 6 6 5 5 4 1 -1 -1 -0 1 2 4 5 5 6 6 7 7 7 7 7 7 7 8 8 8 8 8 7 6 6 6 5 5 6 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 nan
nan 9 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 7 7 7 7 7 7 8 8 9 9 8 8 8 7 6 5 6 8 9 10 10 9 8 8 8 8 9 10 11 11 11 10 10 9 9 10 11 11 11 10 10 10 9 9 8 7 6 7 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 8 8 7 8 8 8 9 9 9 8 7 7 7 8 8 8 9 9 9 8 8 7 7 7 7 6 4 2 1 0 -0 1 3 4 5 6 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 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 7 7 8 8 nan
nan 9 9 9 9 8 8 7 7 7 7 7 8 8 7 7 8 8 8 8 8 7 7 6 6 6 7 8 9 9 9 10 10 10 9 9 8 6 6 6 6 7 8 8 8 7 8 8 9 11 11 11 10 9 9 9 9 10 11 11 10 10 11 11 11 10 9 9 8 8 8 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 8 8 7 7 8 8 8 9 9 10 10 9 8 7 7 7 7 7 6 6 5 2 0 0 2 4 7 8 8 8 7 7 7 7 7 7 8 8 8 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 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 8 nan
nan 9 10 9 9 8 8 7 7 7 8 8 8 7 7 7 8 8 8 8 8 7 7 7 7 7 8 9 9 9 9 10 11 11 11 10 10 8 6 5 5 5 6 6 6 7 7 8 9 11 11 10 9 8 8 8 8 9 10 10 10 11 11 11 10 9 9 9 9 9 7 5 5 7 9 9 9 8 8 8 8 8 8 8 8 8 7 6 7 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 7 7 7 7 7 7 7 7 6 5 3 2 4 6 10 11 10 8 6 5 5 7 7 7 8 8 8 7 7 6 6 6 7 7 7 8 8 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 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 10 10 9 9 8 8 8 8 8 8 8 8 7 7 7 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 10 11 11 11 11 11 9 8 7 6 5 5 5 6 6 7 7 9 10 10 10 9 9 8 8 8 9 9 9 10 10 11 11 11 10 10 10 10 9 7 4 5 7 9 9 9 8 8 8 7 7 8 8 8 7 6 6 7 8 8 8 7 7 7 8 8 9 9 9 9 10 10 10 9 8 7 6 7 7 7 7 7 7 7 6 6 5 6 9 12 12 9 5 0 0 4 7 7 8 8 8 8 7 6 6 6 6 7 7 8 8 8 8 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 7 7 8 8 8 7 7 7 7 7 7 7 7 7 8 8 nan
nan 11 11 10 9 9 9 8 8 9 9 8 8 7 7 8 8 7 7 7 6 6 7 7 8 8 8 8 8 8 8 9 9 10 11 11 11 10 9 8 7 6 6 6 6 6 7 8 8 9 10 10 10 10 10 9 8 9 9 9 8 9 9 11 11 11 11 11 11 9 6 4 5 7 9 9 9 9 8 8 7 8 8 9 8 7 6 7 8 9 9 8 7 7 7 7 8 9 9 10 10 10 10 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 8 4 -3 -7 -3 3 6 7 8 8 8 8 7 6 6 6 6 6 7 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 nan
nan 11 11 11 10 10 9 9 9 9 9 8 8 8 8 8 8 7 7 7 6 6 6 6 7 7 8 8 8 8 8 8 8 9 9 10 10 11 10 10 9 8 8 8 7 7 8 8 8 9 9 10 10 11 12 11 9 9 8 7 7 8 9 10 11 11 11 10 9 7 5 4 5 8 10 10 9 8 7 7 8 8 9 8 7 7 7 8 9 9 9 8 7 7 7 7 7 8 9 9 10 10 10 9 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 4 -3 -10 -10 -3 4 6 8 8 8 8 8 7 6 6 6 6 6 7 7 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 nan
nan 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 8 8 8 8 8 8 9 9 9 10 11 11 10 9 9 9 8 8 8 8 8 8 9 9 9 11 12 12 10 9 8 7 7 8 9 9 10 10 10 8 6 4 2 3 6 10 11 10 8 7 6 6 7 8 8 8 7 7 8 8 9 9 9 9 8 7 6 6 6 7 8 9 10 10 10 10 9 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 6 1 -6 -10 -6 1 6 8 8 8 8 8 8 7 6 6 6 6 6 7 7 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 nan
nan 10 10 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 8 7 7 6 6 6 6 7 7 8 8 8 8 9 9 8 9 9 10 10 10 10 9 9 9 9 8 8 7 7 7 8 8 9 10 11 11 10 9 9 8 8 8 8 9 9 8 6 3 1 1 4 9 12 13 11 8 6 6 6 6 7 8 8 8 8 8 8 8 9 10 9 8 7 6 6 6 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 7 7 7 7 5 0 -6 -6 0 7 10 10 9 8 8 8 7 6 6 5 5 6 6 7 7 7 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 nan
nan 11 10 9 8 8 9 9 9 9 9 9 8 8 8 8 8 9 10 10 9 8 7 7 6 5 6 6 7 7 7 8 8 8 9 9 9 9 9 10 10 10 9 8 8 8 8 8 7 6 6 6 7 7 8 9 11 11 11 11 11 10 8 7 7 8 7 5 3 2 4 7 12 14 14 12 9 8 7 6 6 7 7 8 8 7 7 7 7 9 10 10 8 7 6 7 7 8 8 9 9 9 8 8 8 9 9 9 9 9 9 10 9 8 7 6 6 6 7 7 5 2 -0 3 10 15 15 12 10 9 9 8 7 6 5 5 5 6 6 7 7 7 7 8 8 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 nan
nan 10 10 9 8 9 9 9 9 9 9 8 8 8 8 8 8 9 10 10 9 9 8 7 7 6 6 6 6 7 7 7 7 7 8 9 10 10 9 9 9 9 8 8 7 8 9 9 8 7 6 6 7 7 7 8 9 10 10 11 11 11 9 7 7 7 7 6 4 5 7 10 13 14 13 11 9 9 8 8 8 9 9 8 6 5 5 6 7 9 9 8 7 6 7 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 7 6 6 6 7 7 7 8 13 17 18 15 13 11 10 8 7 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 nan
nan 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 9 8 8 7 6 6 6 7 7 8 7 7 7 8 9 10 9 8 8 8 8 8 7 6 8 10 11 9 7 6 6 8 8 8 7 8 8 8 9 10 11 10 8 7 7 7 7 6 7 9 11 12 12 10 9 9 9 10 10 10 10 9 7 6 5 5 7 8 8 8 6 6 6 7 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 6 6 7 8 9 11 13 14 13 12 12 11 9 6 4 3 4 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 7 7 6 6 7 8 8 8 8 8 8 8 9 8 7 7 7 8 8 7 7 8 11 11 10 9 7 7 8 9 9 8 7 6 6 6 8 8 8 8 7 7 7 7 7 8 10 11 10 9 8 8 9 10 10 9 10 9 8 7 6 5 7 8 8 7 6 5 5 6 8 9 9 9 9 9 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 8 7 7 7 8 9 9 9 9 9 9 9 8 6 2 -0 2 4 5 5 5 5 6 6 7 7 7 7 7 7 7 7 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 nan
nan 8 8 8 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 8 7 7 7 7 7 8 8 9 9 9 9 9 8 7 7 7 8 9 8 7 8 9 10 10 10 9 9 9 9 9 9 8 6 4 4 5 6 6 6 6 6 6 7 7 8 9 10 9 8 8 9 11 12 10 9 9 9 8 6 5 6 7 8 7 6 5 5 6 6 8 8 9 9 8 7 6 6 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 8 9 8 7 6 5 4 2 1 -1 -4 -3 1 3 5 5 5 5 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 5 5 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 11 11 10 nan
nan 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 7 7 8 9 10 9 7 6 7 8 9 10 10 10 9 9 9 10 9 7 5 4 4 5 5 6 7 6 6 6 6 7 8 9 9 9 8 9 11 12 10 10 9 9 8 7 6 7 8 8 7 5 5 6 7 7 8 8 8 8 7 6 6 6 7 8 9 10 9 9 9 9 9 9 9 8 9 9 9 9 8 8 8 9 9 7 3 -1 -4 -6 -7 -8 -9 -4 1 4 5 5 5 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 11 10 10 10 10 nan
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nan 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 9 9 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 11 10 10 9 8 9 9 9 9 8 8 8 8 7 7 7 7 7 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 7 6 6 6 7 9 10 11 11 11 11 10 9 9 10 10 10 10 10 9 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 12 13 12 12 11 11 11 11 11 11 12 13 16 18 20 22 23 23 22 20 18 18 17 15 14 13 12 12 12 12 12 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 8 8 9 9 9 10 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 9 9 9 9 10 10 10 10 10 9 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 10 11 12 11 11 11 10 9 9 9 9 9 9 8 8 7 7 8 9 10 10 10 11 11 12 13 13 13 14 13 12 11 11 11 11 11 11 11 11 12 14 18 22 24 25 26 27 27 27 28 29 28 26 25 22 19 15 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 nan
nan 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 10 11 10 10 10 10 10 9 9 8 6 5 5 6 7 7 7 7 8 8 8 7 6 6 7 7 9 11 12 11 10 10 10 10 9 9 9 9 9 8 7 7 7 8 9 10 10 10 10 10 11 11 12 13 14 15 14 12 11 10 9 9 9 10 10 10 11 12 15 18 20 20 19 17 16 17 20 23 26 27 27 23 19 16 15 15 15 14 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 11 11 10 10 nan
nan 9 9 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 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 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 12 12 11 11 11 11 11 10 10 8 6 5 4 5 6 7 7 8 9 9 8 7 6 6 7 8 9 10 11 11 11 11 11 11 11 11 11 10 10 9 8 9 10 12 12 12 11 11 11 11 11 11 12 12 12 11 11 10 10 9 8 8 8 8 9 9 10 10 11 11 12 11 9 6 4 2 3 6 9 12 12 10 10 12 16 18 16 14 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 12 11 11 10 10 10 10 10 10 10 9 8 7 6 6 6 6 7 9 10 10 9 8 8 8 9 9 10 10 10 10 11 11 11 11 11 12 12 11 11 11 11 13 14 15 15 14 12 11 11 11 11 11 10 10 8 8 7 8 8 8 9 8 8 8 9 9 10 10 10 10 10 10 10 10 8 4 -0 -2 -2 -2 -3 -2 2 8 13 14 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 12 12 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 9 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 10 10 9 9 9 8 7 8 8 9 10 9 9 9 8 7 7 7 8 9 10 9 9 10 10 11 11 11 10 10 10 10 11 11 11 10 10 11 11 11 12 12 13 14 15 16 15 13 11 10 10 10 10 9 8 7 6 6 7 7 8 8 9 9 9 8 8 9 10 11 11 11 12 14 16 18 18 18 14 11 8 5 3 5 9 12 13 11 11 12 13 13 12 12 12 11 11 11 11 12 13 15 15 15 14 14 14 14 14 13 13 13 nan
nan 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 8 7 7 8 8 8 7 7 8 8 7 7 7 8 9 10 10 9 8 8 7 8 9 9 9 9 10 10 11 12 12 12 11 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 14 13 12 11 10 9 9 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 9 9 11 12 12 13 14 16 18 20 24 26 25 24 22 23 25 27 27 24 21 22 22 22 21 19 17 15 14 13 13 14 17 21 23 22 19 16 15 14 14 13 13 13 13 nan
nan 9 9 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 11 10 10 9 9 9 9 10 10 10 10 10 10 11 12 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 10 10 10 8 7 4 1 -2 -3 -2 2 4 4 4 4 5 7 8 8 8 8 9 10 9 8 7 6 7 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 12 11 9 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 11 11 11 11 10 10 10 11 12 13 13 13 14 16 19 22 25 26 27 28 30 32 31 29 29 30 30 30 30 29 26 22 20 19 19 20 23 26 26 23 19 16 14 13 13 13 13 13 13 nan
nan 9 9 8 8 8 8 8 9 9 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 8 7 8 10 12 12 12 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 9 5 1 -3 -7 -10 -11 -9 -5 -2 -1 -1 -2 -1 2 5 7 9 9 9 10 10 8 6 6 7 9 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 10 9 7 7 6 6 6 7 7 7 7 8 9 9 9 10 10 10 10 10 11 11 12 13 13 13 13 12 11 11 12 12 12 12 12 12 13 14 16 18 19 20 20 20 20 21 22 24 26 28 30 30 29 28 29 29 29 27 24 22 19 17 17 17 17 16 15 14 13 13 13 nan
nan 9 9 9 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 8 4 1 2 6 10 12 13 13 13 12 11 11 11 11 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 9 10 10 11 9 3 -4 -9 -12 -12 -10 -7 -3 -0 1 0 -2 -2 -1 2 5 7 8 7 7 7 7 5 5 6 8 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 10 9 7 6 5 5 5 6 7 8 9 9 9 9 10 10 10 10 10 11 11 11 11 12 12 13 13 13 13 13 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 10 11 12 13 14 16 18 19 21 23 27 30 32 32 30 25 20 18 19 22 24 24 22 19 16 14 13 12 nan
nan 10 9 9 9 9 8 8 7 8 8 8 9 9 10 10 11 11 11 11 11 12 12 11 8 2 -3 -6 -3 5 10 12 13 15 16 14 13 12 12 11 11 10 9 9 8 8 7 7 8 8 9 9 10 10 10 10 10 9 9 9 10 9 4 -3 -8 -11 -9 -6 -2 1 4 5 5 4 3 3 4 4 5 5 3 0 -0 0 1 2 3 6 8 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 8 6 5 4 5 5 5 6 8 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 12 13 13 13 13 13 12 11 10 10 9 9 9 8 8 9 9 9 9 9 10 10 11 11 11 13 16 20 22 24 25 26 26 24 22 21 22 22 21 19 17 14 12 11 11 nan
nan 10 10 9 9 9 9 8 7 7 8 8 8 9 9 10 10 10 11 11 11 12 11 9 4 -3 -7 -6 -1 6 9 11 14 16 17 15 14 14 13 12 11 11 10 10 9 8 7 7 7 8 9 9 10 10 10 10 10 9 9 9 9 7 3 -1 -4 -3 1 4 6 7 7 7 7 6 6 6 6 5 4 3 -1 -4 -5 -5 -3 -1 2 5 6 6 6 6 7 7 8 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 9 7 6 5 5 4 5 6 6 6 7 9 10 10 9 9 10 10 11 11 11 11 11 11 11 12 11 10 10 9 10 11 12 13 14 14 12 11 10 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 12 13 14 15 17 19 21 21 17 12 7 4 4 5 6 7 8 9 9 nan
nan 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 10 9 6 -1 -6 -6 -2 4 7 9 10 12 15 16 16 16 15 14 12 12 11 11 10 9 8 8 8 8 8 8 8 9 9 10 10 9 9 9 9 9 8 7 6 7 9 12 13 13 13 12 10 8 6 5 5 5 5 4 3 1 -1 -1 -1 -1 -0 2 2 2 3 5 7 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 10 8 6 3 2 3 4 6 7 8 8 9 11 12 11 9 7 8 10 11 12 12 11 11 11 11 11 10 9 9 8 8 8 9 10 12 13 13 11 10 9 9 8 7 7 7 8 9 9 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 13 13 12 6 0 -4 -6 -5 -1 2 5 7 8 9 nan
nan 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 7 3 -3 -6 -3 2 6 9 9 10 10 12 16 18 20 19 15 12 12 11 11 10 9 8 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 10 12 14 17 18 18 18 18 16 12 9 7 6 6 5 5 5 4 4 4 5 5 5 4 3 2 1 3 6 7 7 7 7 8 7 7 7 8 9 9 10 11 11 11 10 9 7 5 4 3 4 6 7 8 9 10 10 12 13 13 11 8 8 9 11 12 12 12 12 11 11 10 9 8 7 7 7 8 8 9 9 10 11 11 10 10 10 9 8 7 7 7 8 9 10 11 12 12 11 11 11 11 11 11 12 12 12 11 11 11 10 8 4 -0 -3 -3 -1 2 3 5 7 9 9 9 nan
nan 9 9 8 7 7 7 7 8 8 9 9 9 9 8 8 8 9 9 9 9 8 6 0 -5 -5 -1 4 8 9 10 10 10 11 16 20 22 20 16 13 12 12 11 9 8 8 8 9 8 8 7 7 7 7 7 8 9 10 10 9 9 10 11 13 14 15 16 15 14 13 12 10 10 11 10 9 7 6 6 6 6 7 8 8 8 8 7 5 5 5 5 4 3 3 5 6 6 7 8 8 8 9 10 11 10 9 8 7 5 5 6 8 10 11 11 10 10 11 12 12 12 11 10 10 11 12 12 12 11 10 10 10 9 8 6 5 5 6 7 8 8 8 8 9 10 9 10 10 10 9 8 8 8 8 10 11 12 13 13 13 12 11 11 11 11 11 11 12 11 10 9 8 6 2 -3 -5 -3 0 4 7 8 9 9 9 10 9 nan
nan 9 9 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 4 -3 -6 -4 0 5 8 10 10 10 10 11 14 19 22 22 18 15 13 12 11 9 8 8 8 8 8 8 7 7 7 7 8 8 9 10 10 9 10 10 11 11 11 11 9 6 3 2 4 7 12 14 13 12 11 9 8 7 7 8 8 9 9 10 9 9 9 8 6 3 1 1 3 4 6 7 8 8 9 9 9 9 8 8 7 6 6 8 10 11 12 11 9 9 9 10 10 9 10 10 11 12 13 13 12 11 9 8 7 7 6 5 4 4 5 6 7 7 8 8 8 9 8 8 9 9 8 9 9 9 9 11 11 12 13 14 13 13 12 11 11 11 10 10 11 11 10 10 8 5 -0 -5 -7 -6 -2 3 6 8 9 9 10 10 10 10 nan
nan 9 8 7 7 7 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 7 2 -5 -6 -3 1 6 9 10 10 10 10 10 13 18 22 22 20 17 14 12 11 9 9 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 8 4 -3 -5 -3 2 8 13 13 13 13 13 13 11 10 10 10 10 10 11 11 11 11 11 10 9 9 8 7 6 6 7 7 7 8 9 9 8 7 7 6 6 7 8 9 10 9 8 6 5 6 8 9 8 8 9 10 11 12 12 12 11 9 8 7 7 7 6 5 6 7 8 8 8 8 8 8 9 9 8 8 8 8 8 10 10 11 11 12 12 12 13 13 13 12 11 10 10 10 10 10 10 10 11 11 9 5 1 -2 -2 1 4 7 8 9 10 10 10 10 10 10 nan
nan 9 8 8 8 8 8 8 9 9 10 10 9 9 8 8 9 9 10 10 10 7 1 -4 -5 -2 2 7 9 9 10 10 10 10 12 16 20 22 21 18 15 13 10 9 8 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 9 6 2 -2 -0 4 9 14 14 12 12 13 14 15 15 15 15 14 14 15 15 15 16 16 17 16 16 15 14 13 11 10 9 8 8 8 9 9 8 7 7 6 6 7 7 7 7 5 4 4 6 8 10 10 9 10 10 10 9 8 8 8 8 8 9 10 11 10 9 9 9 10 11 11 11 10 9 9 8 8 7 8 8 9 10 11 11 11 12 12 11 12 12 12 12 11 10 10 9 9 9 10 10 10 11 12 12 11 10 11 11 12 12 11 10 10 10 10 10 10 10 10 nan
nan 9 8 8 8 8 9 9 9 10 10 9 9 8 8 8 9 9 10 11 10 8 3 -2 -3 -1 3 7 9 9 10 10 10 10 12 14 18 22 21 18 15 13 10 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 8 6 5 7 11 16 18 18 15 12 11 12 13 14 16 18 19 19 20 21 22 23 23 25 24 23 20 17 16 15 15 14 13 11 10 9 8 8 9 9 9 8 8 8 7 7 6 6 7 10 12 14 14 13 13 12 12 10 8 6 5 5 6 9 12 13 12 10 8 8 8 9 10 10 10 10 8 7 7 7 7 8 9 11 12 12 12 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 11 11 12 13 15 19 21 20 17 13 11 9 10 10 10 10 10 10 10 nan
nan 8 8 9 9 9 9 9 10 10 10 9 9 8 8 8 9 9 10 10 10 9 4 -2 -4 -1 3 7 8 9 10 10 10 11 11 13 17 21 22 19 17 14 10 8 8 9 9 9 9 9 9 9 8 8 9 9 8 8 8 8 8 7 7 7 7 7 9 12 16 18 18 15 12 10 10 11 11 12 14 15 17 20 22 24 25 26 27 27 25 22 20 18 18 18 18 17 17 15 12 10 9 9 11 11 11 10 9 9 8 8 7 9 12 14 15 15 14 13 12 12 10 9 8 7 6 6 9 11 12 11 8 6 6 6 6 6 7 8 8 7 6 6 7 8 10 11 12 13 13 13 12 11 11 10 10 10 10 11 11 11 10 10 9 9 9 10 10 11 12 12 13 15 18 18 15 11 9 8 8 9 9 9 9 10 10 10 nan
nan 7 8 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 8 3 -3 -4 -2 3 7 9 9 10 10 10 11 11 12 17 23 25 23 19 14 11 9 8 8 9 10 11 10 9 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 9 11 12 12 11 9 8 8 9 9 9 9 9 10 13 16 18 20 20 20 20 19 18 17 17 18 19 20 21 22 21 19 16 15 15 16 17 15 13 11 10 9 9 8 9 11 13 13 12 11 10 9 9 9 8 7 7 7 7 8 10 10 9 6 5 5 6 7 7 7 8 7 7 6 7 9 10 12 12 13 13 13 13 12 12 11 10 10 10 9 10 10 10 10 10 10 9 9 10 10 10 11 11 12 12 13 12 8 6 4 4 7 8 9 9 9 10 10 10 11 nan
nan 7 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 8 1 -4 -5 -2 3 7 9 9 10 10 10 11 11 12 19 26 28 25 20 13 10 9 8 8 10 11 12 11 10 9 8 8 8 8 8 8 9 9 9 8 8 8 7 8 9 9 9 8 6 5 4 4 6 7 7 7 8 9 12 14 15 15 14 14 13 13 13 13 14 15 18 20 22 23 21 19 17 17 19 21 19 16 13 10 10 9 9 10 11 12 11 10 8 7 6 6 7 7 7 7 8 8 8 10 10 9 7 6 7 8 9 10 10 10 10 9 9 10 12 14 14 14 13 13 14 13 12 12 11 10 9 9 8 8 9 10 10 10 10 9 9 10 10 10 10 10 11 11 11 11 9 7 7 7 8 9 10 10 10 10 11 11 11 11 nan
nan 7 8 8 8 8 8 8 9 10 10 10 10 10 10 9 9 8 9 9 10 6 -0 -4 -4 -2 3 7 9 9 10 10 10 10 11 14 22 28 29 26 18 11 9 8 8 9 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 9 7 3 -0 -2 -1 1 4 5 7 9 11 14 14 14 13 12 11 11 11 12 11 11 12 15 17 18 17 15 13 12 13 15 16 15 13 11 10 10 10 11 11 12 12 11 9 7 6 6 6 7 7 7 8 8 9 10 11 11 11 10 11 11 12 12 12 12 13 13 14 15 16 17 18 17 15 13 13 13 12 12 11 10 9 8 8 7 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 12 14 15 14 12 11 11 11 12 12 12 12 12 nan
nan 9 8 8 8 8 8 8 8 9 10 10 10 10 10 10 9 8 9 9 9 4 -2 -5 -5 -2 3 7 9 9 10 10 10 11 12 18 26 30 28 23 14 10 9 8 9 10 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 9 7 1 -4 -6 -5 -2 1 4 8 11 13 14 14 13 12 10 10 10 11 11 10 11 12 14 15 13 10 6 3 1 3 6 8 9 9 9 9 10 10 11 11 11 9 7 5 3 2 3 4 6 6 7 8 9 10 12 13 15 15 16 16 16 15 15 15 15 16 17 17 18 18 17 16 15 14 13 12 11 11 12 11 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 13 16 17 19 17 15 13 12 12 12 12 12 12 12 nan
nan 10 9 9 9 9 8 8 8 9 9 10 10 10 10 9 9 8 8 9 8 4 -2 -5 -6 -2 3 6 8 9 10 10 10 12 15 23 29 29 25 18 13 10 10 10 10 11 11 11 10 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 5 -1 -4 -6 -6 -2 2 7 11 14 15 14 14 12 11 10 9 9 10 11 11 12 13 14 12 7 1 -4 -7 -6 -2 2 4 5 5 5 5 6 8 9 8 5 2 -2 -4 -5 -4 -2 -1 -0 1 4 6 9 11 14 16 16 17 17 18 18 17 17 17 17 17 17 16 14 13 12 12 12 11 11 11 11 11 11 11 10 9 9 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 13 15 16 19 19 16 15 14 13 13 13 13 13 12 nan
nan 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 8 8 8 9 8 5 1 -3 -4 -1 2 5 7 9 10 10 11 13 19 26 29 25 19 14 12 11 11 11 12 12 11 10 9 9 10 10 10 10 9 9 10 10 10 10 9 10 10 11 11 10 10 10 8 2 -2 -4 -5 -4 2 7 12 16 18 16 15 14 13 11 10 9 10 11 11 12 13 14 13 9 3 -1 -4 -4 -1 1 2 3 2 1 0 1 2 3 2 -0 -3 -6 -7 -7 -6 -4 -3 -3 -3 -2 -0 4 7 9 11 13 14 15 16 16 16 16 16 16 16 15 14 12 10 9 9 9 10 10 10 11 11 11 11 10 10 10 9 9 10 10 10 10 11 10 10 10 9 10 10 10 11 11 11 11 11 11 12 12 15 18 20 19 17 15 14 13 13 13 13 13 nan
nan 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 8 8 7 8 8 7 4 -0 -2 -1 1 4 7 9 10 10 11 14 21 27 26 20 15 13 12 11 12 12 12 11 10 10 9 11 11 11 11 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 6 0 -3 -5 -4 0 6 12 16 20 20 18 16 15 13 11 10 9 10 11 12 13 14 14 12 10 8 7 6 8 9 7 6 5 5 3 3 3 3 2 -0 -3 -4 -4 -2 0 2 4 4 3 2 2 3 4 4 5 5 7 11 13 15 14 13 12 12 12 12 11 10 9 8 8 9 9 9 10 10 10 10 10 10 11 11 11 11 10 11 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 15 18 19 20 19 17 15 14 13 13 12 12 nan
nan 9 10 10 11 11 10 10 10 9 9 10 10 9 9 9 8 8 7 7 8 8 5 1 -2 -1 0 3 6 9 10 10 12 15 22 27 24 19 14 11 10 10 11 12 12 11 11 11 11 12 12 11 11 11 12 12 11 9 5 4 5 6 7 8 9 10 10 9 4 -2 -5 -6 -2 4 9 13 18 23 23 20 17 14 12 10 9 9 10 11 12 13 13 13 12 12 14 15 15 14 13 12 11 10 10 9 9 9 8 6 5 4 4 5 7 8 9 9 9 9 9 9 8 7 5 4 5 9 14 16 15 12 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 13 14 16 18 20 20 18 16 15 14 13 13 13 nan
nan 9 10 11 11 11 11 10 10 10 10 10 10 10 9 9 8 8 7 7 8 8 6 3 -1 -2 -1 2 5 8 10 10 11 15 22 26 24 19 14 10 9 10 10 11 11 11 11 11 13 13 13 11 10 10 11 10 8 4 -1 -4 -3 -0 4 8 10 10 11 7 1 -4 -7 -5 2 7 11 14 21 26 24 20 16 13 11 10 10 10 11 12 12 12 12 11 12 13 14 14 14 14 14 14 14 14 14 13 12 12 12 11 11 10 11 11 11 11 11 11 12 14 14 13 12 10 8 9 13 17 19 17 13 10 9 8 9 10 10 10 10 9 9 9 9 9 9 10 10 9 10 10 12 13 13 13 13 12 11 11 10 10 10 11 11 11 12 11 11 11 11 12 12 12 13 13 13 14 14 14 16 19 20 20 19 18 18 18 17 15 nan
nan 10 10 11 11 11 11 10 10 10 10 11 11 10 10 9 9 8 8 7 8 8 7 4 1 -2 -2 1 4 7 9 10 11 15 22 25 24 20 14 10 10 10 10 10 10 10 10 11 13 14 13 11 9 9 10 10 8 3 -2 -4 -4 -0 6 10 11 10 9 4 -2 -6 -7 -1 5 9 12 16 22 25 23 19 15 12 11 11 11 11 12 12 12 11 11 11 12 12 12 11 10 11 12 13 15 16 16 16 16 16 17 17 15 14 14 13 13 14 15 17 19 20 18 15 13 11 11 14 17 19 18 15 10 9 8 8 10 11 11 11 10 10 10 10 10 9 10 10 10 10 10 11 12 13 13 13 12 11 11 10 10 10 10 11 11 11 11 11 11 11 12 12 13 13 14 14 14 14 13 13 15 17 19 22 25 27 27 25 23 21 nan
nan 9 9 9 10 11 11 11 10 10 11 11 11 11 11 10 9 9 8 8 8 8 7 6 2 -2 -2 -0 3 7 9 10 10 14 20 23 24 21 14 10 10 10 10 9 9 10 10 11 12 12 12 11 10 10 11 11 11 6 3 2 2 4 9 10 8 6 2 -3 -7 -8 -4 3 8 11 12 16 21 22 20 16 13 11 11 12 12 12 12 12 11 10 10 11 12 12 11 9 9 9 10 12 14 16 17 17 19 20 20 20 18 18 18 18 20 22 24 25 26 25 20 15 13 11 12 14 17 19 19 15 12 9 9 10 12 13 12 11 10 10 10 10 10 10 10 10 9 10 11 11 12 12 12 12 11 11 11 11 10 10 10 11 11 11 10 10 11 11 12 12 13 13 14 14 14 13 13 12 13 14 17 22 26 30 29 28 28 29 nan
nan 9 9 8 8 10 11 10 10 10 10 11 12 12 12 11 10 9 9 8 8 8 8 7 2 -1 -3 -2 2 6 9 10 10 13 18 22 25 22 15 11 10 10 9 9 10 10 10 9 10 10 11 11 11 11 11 11 11 11 10 8 6 6 7 6 3 -0 -4 -7 -8 -4 2 8 11 12 12 16 19 19 18 15 12 12 12 12 12 12 11 10 9 10 10 12 12 12 11 10 9 9 9 10 11 12 13 14 16 17 18 18 17 18 19 22 25 27 28 27 26 23 18 14 12 12 14 17 22 25 24 20 16 13 12 13 14 13 11 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 12 12 11 11 11 11 10 10 10 10 10 11 11 12 13 12 13 13 13 13 12 12 11 11 11 14 17 20 21 22 24 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
32 40 50 60 67 60 41 20 10 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 3 4 4 8 7 7 11 17 20 22 19 20 21 24 27 30 33 33 35 38 44 48 52 55 60 67 70 72 76 81 89 96 97 89 89 100 100 100 98 96 90 78 73 66 49 49 46 49 54 53 48 49 53 57 55 50 40 25 11 11 31 58 115 221 379 598 833 990 995 1035
44 55 65 70 63 41 18 5 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 1 1 1 3 5 7 6 6 8 9 10 9 10 12 12 13 15 16 18 21 21 19 19 23 28 36 44 50 54 57 50 55 60 58 55 52 48 46 47 42 27 18 16 10 5 9 16 15 16 21 30 39 44 37 19 7 2 1 1 6 27 72 137 256 515 666 785
58 67 70 61 41 18 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 4 4 4 3 3 2 1 0 2 2 2 4 3 2 0 0 2 6 10 14 19 22 24 24 27 28 26 21 16 16 17 17 11 8 8 6 4 1 2 2 2 3 3 6 10 14 6 2 0 0 0 0 0 5 10 40 138 254 353
66 66 54 34 14 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 3 1 1 7 10 7 3 2 0 0 2 3 2 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 22 48 75
58 45 25 9 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 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 1 4 16 19
36 21 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 11 14
16 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 5
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