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 11 10 9 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 8 8 7 7 7 6 6 7 8 8 8 7 7 7 7 7 7 7 7 7 6 7 8 9 9 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 6 2 -4 -8 -7 -2 3 5 5 6 7 7 8 8 8 8 7 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 6 6 5 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 5 5 5 5 5 4 4 4 4 4 4 4 4 5 6 7 7 7 6 4 2 1 1 2 5 10 18 26 34 38 42 43 38 34 nan
nan 9 8 7 7 7 7 7 6 6 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 7 7 6 6 7 7 8 8 8 8 7 7 7 8 8 8 7 7 7 6 6 5 5 6 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 6 7 7 7 6 7 7 8 8 8 8 8 6 4 -1 -7 -9 -5 -0 3 4 5 6 7 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 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 5 5 5 5 5 5 5 5 5 5 4 4 3 3 3 3 4 5 5 6 6 6 5 4 3 2 1 1 5 10 16 22 29 36 38 38 nan
nan 8 7 6 7 7 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 7 6 7 8 8 7 6 6 6 7 7 7 8 8 8 8 7 6 7 7 7 6 6 7 7 7 7 6 5 6 7 7 7 7 7 7 7 6 6 6 7 7 8 8 8 7 6 6 6 6 6 6 7 7 8 8 8 7 6 2 -5 -9 -8 -4 0 3 4 5 6 7 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 6 6 6 6 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 5 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 4 4 4 4 5 6 6 6 6 5 4 2 1 2 4 8 13 20 26 31 nan
nan 7 7 7 7 6 6 6 6 6 6 7 6 7 7 8 8 8 8 8 8 7 7 6 7 7 7 6 6 6 7 8 8 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 6 6 6 6 6 6 7 7 7 6 6 6 7 7 8 8 8 9 8 6 5 5 6 6 6 7 7 7 7 8 8 7 5 -1 -7 -9 -7 -4 -0 3 4 5 6 7 7 7 7 6 6 6 6 6 7 7 7 8 8 7 7 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 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 5 5 5 5 4 4 4 4 5 6 6 7 7 7 6 4 3 2 2 3 6 12 18 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 6 6 5 5 6 7 8 8 8 8 7 7 7 8 8 8 7 6 6 7 7 8 8 8 7 7 7 6 6 6 7 7 6 6 6 6 7 7 8 8 8 8 8 8 6 5 5 6 7 6 7 7 7 7 7 7 7 6 3 -2 -6 -8 -7 -4 -0 2 4 5 6 6 6 6 6 6 6 6 6 6 7 7 8 8 7 7 7 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 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 7 8 7 6 5 4 2 2 3 6 nan
nan 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6 7 8 8 8 8 8 7 7 8 8 8 7 7 6 6 7 8 8 8 8 8 8 7 7 6 7 7 6 5 6 6 7 7 7 7 7 7 7 8 8 7 6 6 7 7 7 7 7 7 7 7 8 7 7 6 3 -1 -5 -8 -7 -4 -1 2 3 4 5 6 6 6 5 5 6 6 6 7 7 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 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 5 5 5 5 5 6 6 6 6 6 7 7 6 6 6 5 5 5 5 5 6 7 8 8 8 7 6 4 3 2 nan
nan 9 9 8 7 7 8 7 8 8 8 8 7 7 7 6 6 5 5 5 6 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 8 7 7 7 6 5 5 6 7 8 8 7 7 7 7 8 9 9 7 6 6 6 6 6 6 7 7 8 8 8 8 8 7 6 3 -0 -4 -7 -6 -4 -1 0 1 3 4 5 5 5 5 5 6 6 7 7 8 8 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 7 7 7 7 7 7 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 7 7 6 6 6 5 5 5 6 6 7 7 8 9 8 7 5 nan
nan 9 9 9 8 7 7 8 8 8 8 8 7 7 6 5 5 4 4 5 6 6 6 7 7 8 9 9 9 8 7 6 6 6 7 8 8 8 7 7 9 9 8 8 7 7 8 9 10 9 7 6 6 7 7 7 7 7 7 8 8 7 6 7 8 8 9 9 8 7 6 5 6 6 6 6 7 7 8 8 8 8 8 7 6 4 1 -2 -4 -4 -3 -2 -2 -1 1 3 4 5 5 5 6 6 6 7 7 8 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 7 7 7 7 7 7 7 7 7 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 6 5 6 6 7 8 8 9 8 nan
nan 9 9 8 7 7 7 8 8 9 8 7 7 7 6 5 4 4 4 5 5 6 6 6 7 7 9 9 9 8 7 6 6 7 8 9 9 8 7 7 8 9 9 8 7 7 8 9 9 8 7 6 6 7 8 9 8 7 7 8 9 8 7 7 8 8 8 8 8 8 6 5 5 6 6 6 6 7 7 8 8 8 8 7 6 5 4 3 1 0 -1 -3 -4 -5 -3 0 3 4 5 5 5 6 6 7 7 7 7 7 7 6 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 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 nan
nan 8 8 7 7 7 7 8 8 8 7 6 6 6 6 5 4 4 4 5 7 8 8 7 7 7 8 8 8 8 8 7 7 8 9 9 9 8 7 7 7 8 8 7 7 7 8 9 9 8 7 6 6 7 8 8 8 7 7 8 9 8 7 7 7 7 6 7 7 8 8 6 6 6 6 6 6 7 8 8 7 7 8 8 7 6 6 5 5 4 3 0 -4 -7 -6 -3 -0 2 4 5 5 5 6 7 7 7 7 7 6 6 6 6 6 6 7 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 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 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 nan
nan 7 6 6 6 7 7 7 7 7 6 6 6 6 5 4 4 4 4 7 9 9 9 8 8 7 7 8 8 8 8 7 7 8 9 9 8 7 7 7 7 7 7 7 6 7 7 8 8 8 7 7 7 7 8 8 7 7 8 8 8 8 7 7 7 7 6 6 6 8 8 7 6 6 6 6 7 8 8 8 7 8 9 9 8 7 7 7 6 6 5 4 -0 -4 -6 -6 -4 -1 2 4 5 5 6 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 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 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 6 7 7 7 nan
nan 6 6 6 6 7 7 7 6 6 6 6 6 5 4 3 4 5 7 9 10 9 9 8 8 8 8 8 8 8 8 7 7 8 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 8 8 7 7 6 6 7 8 8 7 7 7 6 7 8 8 8 7 8 9 10 8 8 7 7 7 6 6 5 4 1 -2 -5 -7 -6 -2 2 4 5 5 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 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 6 6 6 6 6 5 6 6 6 6 6 5 5 5 5 5 5 6 5 5 5 5 5 5 4 4 4 4 4 5 6 6 7 nan
nan 7 6 6 6 7 7 7 6 6 6 6 5 4 3 3 5 8 9 10 10 9 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 8 7 7 7 8 7 7 7 7 7 7 7 8 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 7 7 8 9 9 8 7 8 9 9 9 8 8 7 7 6 6 6 6 5 3 -1 -5 -7 -6 -2 1 3 5 6 6 7 7 6 6 6 5 5 5 5 5 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 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 6 nan
nan 8 7 7 7 7 7 7 7 6 6 5 4 4 4 6 7 9 11 10 9 8 8 8 8 9 9 8 8 8 8 7 7 7 8 9 9 8 8 7 8 8 8 8 8 8 7 7 7 8 7 7 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 8 9 8 7 7 8 9 9 8 7 8 9 9 9 8 7 7 7 6 6 7 7 7 6 4 -0 -5 -7 -6 -4 0 3 5 6 7 7 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 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 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 nan
nan 9 9 8 8 8 7 7 7 6 5 4 4 5 6 7 9 10 10 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 8 7 7 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 7 6 6 6 8 9 9 8 8 9 9 8 6 6 8 9 9 9 7 7 7 7 7 7 7 7 7 7 7 4 1 -4 -8 -8 -4 1 4 6 6 7 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 4 4 4 4 nan
nan 10 10 9 8 8 7 7 7 6 5 5 5 5 6 7 9 10 10 9 8 8 8 8 8 8 8 9 8 8 8 8 9 8 8 8 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 7 6 6 7 8 8 8 8 8 8 8 7 6 7 8 9 9 8 7 7 8 8 8 7 7 7 7 7 7 7 5 1 -5 -9 -7 -2 2 5 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 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 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 5 6 6 5 5 5 5 4 nan
nan 11 10 9 8 8 7 7 7 6 6 6 6 6 6 7 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 9 10 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 6 7 8 8 7 7 8 9 9 8 8 8 9 9 8 7 7 7 7 7 7 7 7 4 -2 -7 -8 -4 0 3 5 5 6 6 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 6 6 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 6 5 nan
nan 10 9 9 8 8 7 7 7 6 6 6 6 6 6 7 10 10 9 9 8 8 8 8 8 7 7 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 9 10 9 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 7 7 6 6 7 8 8 8 8 9 9 9 9 9 9 9 8 7 7 6 7 8 7 7 6 5 2 -2 -5 -4 -1 1 3 4 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 6 7 6 6 6 6 6 6 6 6 7 6 6 nan
nan 9 10 10 9 8 7 7 7 6 6 6 7 7 7 9 11 11 9 8 8 8 7 7 7 7 7 8 8 9 8 7 6 7 7 7 8 8 7 7 7 7 6 6 7 7 7 8 8 8 8 7 6 7 8 9 9 9 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 8 8 7 7 7 6 5 2 -1 -1 -1 1 3 5 5 5 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 6 6 7 7 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 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 7 6 7 7 7 7 7 7 7 7 nan
nan 8 10 10 9 8 7 7 7 7 7 7 8 8 8 10 11 10 9 8 8 8 7 7 7 7 7 8 9 9 9 8 7 7 7 7 8 8 8 8 7 7 6 6 6 6 6 7 8 8 8 7 7 7 8 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 7 6 6 7 8 8 8 9 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 3 2 1 2 5 8 8 6 3 1 1 2 4 5 5 5 5 5 5 5 5 5 5 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 nan
nan 8 10 10 9 8 7 7 7 7 7 8 8 8 8 10 11 9 8 8 8 8 8 8 8 8 8 8 9 10 9 8 8 7 7 8 8 9 9 8 7 7 6 6 6 5 6 6 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 8 6 6 7 7 8 8 8 9 9 9 8 7 7 7 7 7 8 8 8 8 8 9 9 8 7 6 6 6 5 4 5 8 11 10 7 3 -1 -2 0 3 4 5 5 5 5 5 5 5 5 5 6 6 7 8 8 8 8 8 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 nan
nan 9 10 9 9 8 7 7 7 7 7 8 8 7 8 10 11 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 10 9 8 7 7 7 6 6 5 6 6 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 8 8 8 9 9 9 9 8 7 6 6 7 8 8 8 8 8 9 9 8 8 8 7 7 7 8 8 8 8 8 9 9 8 7 7 7 7 6 6 7 9 10 10 7 3 -2 -4 -1 1 3 4 5 5 5 5 5 5 5 5 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 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 nan
nan 10 10 9 8 7 7 7 7 7 7 7 8 8 8 10 11 10 9 8 8 8 8 8 8 8 8 8 8 8 9 9 10 9 9 8 9 9 10 9 9 8 8 7 7 6 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 8 9 9 8 7 6 6 7 8 8 8 8 8 8 8 8 9 8 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 7 8 8 9 9 9 7 3 -1 -2 -1 0 2 3 5 6 5 5 5 5 5 5 6 7 7 8 8 8 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 8 8 8 8 9 9 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 nan
nan 10 10 9 8 7 7 7 7 7 7 7 7 8 9 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 8 9 9 9 8 8 7 8 9 10 11 10 10 9 8 7 7 7 8 9 10 10 10 10 10 9 9 9 10 10 10 9 8 8 7 6 6 7 7 7 7 8 8 7 6 7 7 8 8 8 8 8 7 8 8 8 8 8 7 7 8 8 8 8 9 9 8 7 7 8 8 8 8 8 8 9 9 8 7 5 3 3 2 1 1 2 4 5 5 5 5 5 5 6 6 7 8 8 8 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 8 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 nan
nan 10 10 9 9 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 9 8 8 8 7 6 6 8 10 11 12 11 9 8 8 7 7 8 9 10 11 11 10 10 9 9 9 10 11 11 10 9 8 7 7 7 7 6 6 7 9 9 8 7 7 7 8 9 8 8 7 7 8 8 8 8 7 7 7 8 8 8 9 9 8 7 7 8 8 8 8 8 8 8 9 9 8 7 7 7 7 5 3 2 2 3 4 5 5 5 5 5 6 7 7 8 8 8 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 8 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 nan
nan 9 9 9 8 8 8 7 7 7 6 7 7 8 8 8 9 9 9 8 8 8 8 8 8 7 8 8 8 9 9 9 8 8 8 7 6 5 6 8 10 11 10 9 8 8 8 8 8 9 10 11 10 10 9 9 9 10 11 11 10 10 10 10 9 9 8 8 7 7 8 10 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 8 7 7 7 8 8 8 8 8 8 9 9 9 8 8 8 8 8 7 6 5 4 3 3 4 5 5 6 6 7 7 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 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 8 nan
nan 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 8 8 8 7 7 7 7 7 8 9 9 9 10 10 10 9 8 8 6 5 6 7 8 9 8 8 7 7 8 9 10 11 10 9 9 8 8 9 10 11 10 10 10 10 10 10 9 9 9 8 9 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 9 9 9 8 8 7 8 8 8 8 8 8 7 5 4 4 6 8 8 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 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 nan
nan 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 9 8 8 8 7 7 7 7 7 7 8 8 8 9 10 11 11 10 10 9 8 6 5 5 6 7 7 6 6 6 7 8 10 11 9 8 8 8 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 7 6 7 8 8 8 8 8 8 7 7 7 8 8 7 6 6 6 7 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 8 8 8 8 7 6 7 9 11 12 11 10 7 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 7 7 7 7 7 7 7 8 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 8 8 nan
nan 10 10 9 8 8 8 7 8 8 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 10 11 11 11 10 9 7 6 5 5 6 6 6 6 6 7 8 10 10 9 9 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 9 8 5 5 7 8 9 9 8 8 8 7 7 7 8 8 7 6 6 6 7 8 7 6 7 8 8 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 11 13 14 11 7 2 1 4 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 7 7 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 nan
nan 11 10 9 8 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 7 7 8 8 8 8 8 8 8 8 9 9 10 11 11 10 9 8 7 6 7 7 7 7 7 8 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 7 5 5 7 8 9 9 9 9 8 7 7 8 8 8 7 7 7 7 8 8 7 6 7 8 8 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 9 5 -2 -7 -4 3 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 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 nan
nan 11 10 10 9 8 8 9 9 9 9 8 8 8 7 7 7 8 8 8 7 6 6 7 7 8 8 8 7 7 7 8 8 9 10 11 11 11 11 10 8 8 8 8 9 8 8 8 8 9 10 10 10 11 11 11 10 9 9 8 7 8 8 9 10 10 10 9 9 8 7 6 6 7 8 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 5 -2 -10 -11 -4 3 6 7 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 7 7 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 nan
nan 10 10 9 8 8 8 9 9 9 9 8 7 7 7 7 7 8 9 9 8 7 6 6 6 7 7 7 7 8 8 8 8 9 9 10 10 11 11 11 10 9 9 9 9 9 8 8 8 8 9 9 10 11 11 11 11 10 8 7 7 8 8 9 10 10 10 8 7 5 4 4 6 9 10 10 8 7 7 7 8 8 9 8 7 7 8 9 9 8 7 7 8 8 8 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 2 -5 -10 -8 -0 5 8 8 8 8 8 8 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 nan
nan 10 10 9 8 8 9 9 9 9 9 8 8 8 8 7 7 8 9 10 9 8 7 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 10 11 11 10 9 9 9 9 8 8 7 7 8 8 8 8 9 11 11 10 10 9 8 9 9 9 9 9 9 7 4 2 2 4 7 11 13 11 9 7 6 6 6 7 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 9 9 8 7 7 7 7 7 7 5 1 -5 -6 -1 6 11 11 10 9 9 8 8 7 7 6 6 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 nan
nan 10 10 9 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 10 9 9 7 7 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 10 11 10 9 9 8 9 8 8 7 7 7 7 7 7 7 9 11 11 11 11 11 10 9 8 8 8 7 6 4 2 3 6 11 14 15 13 10 8 6 6 6 7 8 8 8 8 7 7 7 9 10 9 8 7 6 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 5 2 0 3 10 16 16 14 11 10 9 9 8 7 6 6 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 nan
nan 10 10 9 8 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 7 7 6 6 6 6 7 7 7 7 8 8 9 10 10 9 9 9 9 8 8 8 8 8 8 8 7 7 6 7 6 6 7 9 10 11 11 11 11 9 8 7 7 7 6 5 4 6 10 14 15 15 12 10 9 8 8 8 8 8 8 7 6 5 5 7 9 10 9 7 6 6 7 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 9 14 18 19 17 14 13 11 10 8 7 6 6 6 5 5 5 5 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 8 8 8 8 8 8 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 9 9 9 8 8 7 7 6 6 7 7 8 8 7 7 8 9 10 10 9 8 7 7 7 7 7 8 9 10 9 8 6 7 8 7 6 6 7 8 9 9 10 11 10 8 7 7 7 7 6 7 9 12 14 14 12 10 9 9 10 10 10 10 9 8 7 6 5 6 8 9 8 7 6 6 7 8 9 9 9 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 8 10 12 15 16 15 13 13 12 11 8 5 4 5 6 5 5 5 5 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 9 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 8 7 7 7 7 7 7 7 8 11 11 10 8 7 8 10 9 8 6 6 6 7 7 8 9 8 8 7 7 7 7 6 7 9 11 11 11 10 9 10 10 11 11 11 10 8 7 7 6 7 7 7 7 6 5 5 6 7 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 7 8 9 9 10 10 10 9 9 10 9 7 4 1 2 4 5 5 5 5 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 nan
nan 8 8 9 9 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 8 8 7 7 7 8 7 7 6 8 9 10 10 9 9 10 10 10 9 8 6 4 4 5 6 7 7 7 6 6 6 6 6 7 9 10 10 9 9 10 11 12 11 10 10 9 8 7 6 6 8 8 7 5 5 5 6 6 7 8 9 9 8 7 7 7 7 8 8 9 9 9 9 9 9 10 9 9 9 9 9 9 8 8 9 9 9 8 7 6 4 3 1 -1 -4 -4 1 3 5 5 6 6 6 6 7 7 7 7 7 6 6 6 6 5 5 6 6 7 7 7 7 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 9 9 9 nan
nan 8 8 8 9 9 9 8 8 8 8 9 9 9 9 8 8 8 9 8 8 8 8 8 8 9 8 8 7 7 7 7 8 9 10 10 10 9 8 8 9 9 8 7 5 5 6 8 8 9 9 9 10 10 10 9 7 4 4 4 5 6 7 7 6 6 6 6 6 6 8 9 9 9 9 10 12 12 10 10 10 9 8 7 7 7 8 7 6 5 5 6 6 7 7 8 8 8 7 6 6 7 8 8 9 9 10 10 9 10 10 10 9 9 9 9 9 9 9 9 9 10 9 7 4 0 -4 -7 -8 -10 -10 -5 1 4 6 6 6 6 6 7 7 7 7 7 7 6 6 5 5 5 6 6 6 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 nan
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nan 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 10 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 8 8 8 9 10 11 11 11 10 8 8 8 8 8 9 8 9 9 10 9 8 7 6 5 5 6 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 9 8 7 7 6 7 9 11 12 12 13 12 12 10 9 9 10 10 10 10 9 9 9 9 10 11 12 12 12 12 11 11 11 11 10 10 11 12 13 14 15 15 14 13 12 12 13 15 17 18 20 22 22 23 22 21 19 18 17 15 14 13 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 10 10 10 nan
nan 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 9 9 10 10 9 9 9 9 9 10 10 11 12 12 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 9 9 9 9 9 9 8 8 6 5 5 6 7 7 7 7 7 7 8 9 9 9 10 9 9 8 8 7 7 7 6 6 7 10 12 12 12 12 12 11 10 9 8 8 9 9 9 8 8 8 8 9 10 10 10 11 12 12 12 12 12 12 12 11 10 11 11 13 14 13 12 12 12 15 18 23 25 26 27 27 28 29 30 30 29 27 25 23 19 16 14 14 14 14 14 14 13 13 13 12 12 12 12 12 12 12 12 11 11 11 10 10 10 9 9 9 nan
nan 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 10 10 10 10 9 9 10 10 10 10 11 11 11 11 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 10 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 8 7 6 6 7 8 8 9 8 7 6 5 6 8 8 8 8 8 8 7 6 5 5 4 5 6 9 12 13 12 11 11 11 10 9 9 8 8 9 8 8 8 8 9 10 11 11 10 10 10 10 10 10 11 12 13 13 12 11 11 11 11 11 10 10 10 10 12 14 18 20 21 19 17 17 18 21 24 26 27 26 22 18 16 15 16 16 15 14 13 13 12 12 12 12 12 12 11 11 11 11 10 10 10 9 9 9 9 9 9 nan
nan 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 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 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 9 8 7 7 8 9 9 10 10 9 8 7 6 7 7 8 8 8 8 8 7 6 5 4 4 6 8 10 11 12 11 11 11 10 10 10 10 10 10 10 10 10 10 11 13 13 13 12 11 11 10 9 9 9 10 11 12 12 12 12 12 11 10 8 8 8 9 9 9 10 11 12 11 9 6 4 2 2 4 7 10 10 8 8 12 17 19 17 15 13 12 12 12 12 12 11 11 11 11 11 10 10 10 10 9 9 9 10 10 10 10 nan
nan 8 8 8 8 8 8 9 9 8 8 8 7 7 7 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 8 8 9 11 10 10 10 10 10 10 9 9 9 7 6 6 6 7 7 7 7 6 7 8 10 11 11 11 11 11 11 10 10 9 10 10 11 11 11 11 12 13 15 16 16 14 12 11 10 10 10 10 10 10 9 9 10 10 11 11 10 9 8 8 9 9 10 10 10 10 10 10 10 9 7 2 -2 -4 -5 -5 -5 -3 2 8 14 15 13 12 12 12 12 12 12 12 12 11 11 10 10 11 11 10 11 11 10 11 11 11 11 11 nan
nan 8 8 8 8 8 8 9 9 9 8 8 7 7 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 10 10 9 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 9 8 8 9 11 10 9 9 9 10 11 11 11 10 9 6 4 4 5 6 7 8 9 10 12 13 13 12 11 11 10 10 10 9 9 9 9 10 11 12 12 12 13 14 15 16 15 12 10 9 8 9 9 9 9 9 8 8 8 8 9 9 10 9 9 9 9 10 10 11 11 11 12 13 15 16 17 15 12 8 6 4 3 6 10 14 15 12 12 13 15 15 14 14 13 13 13 12 12 12 13 14 15 14 13 13 12 12 12 12 12 12 nan
nan 7 7 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 8 7 7 8 8 8 7 8 8 9 7 7 8 10 11 11 11 10 9 7 5 4 5 6 8 9 10 12 14 15 15 13 12 11 10 10 10 9 9 9 10 10 11 12 12 13 13 13 13 12 12 10 8 7 6 6 7 7 8 8 8 8 8 8 8 9 10 10 10 10 10 9 9 10 11 12 12 12 13 14 16 19 21 23 24 23 22 24 26 29 29 26 23 23 24 24 23 20 19 17 16 14 14 15 18 22 24 22 19 16 14 14 13 13 12 12 12 nan
nan 7 8 8 8 8 8 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 7 5 2 -1 -2 -1 2 4 4 4 4 5 5 6 8 10 10 11 10 10 8 7 6 6 7 9 10 11 11 12 13 14 13 12 11 10 10 9 9 9 9 10 10 11 11 12 12 12 12 11 11 9 8 7 6 6 6 6 6 7 7 8 8 8 9 9 10 10 10 11 11 11 11 11 11 10 10 10 11 12 12 11 11 12 14 17 21 24 27 28 30 32 35 34 31 31 31 31 31 31 30 27 23 21 20 20 21 24 27 27 24 19 16 14 14 13 13 13 12 12 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 8 9 11 12 12 12 11 11 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 9 6 3 -1 -4 -8 -10 -10 -6 -2 -1 -1 -1 -1 1 4 7 10 11 10 10 9 8 7 6 7 9 11 12 13 13 13 13 12 12 11 10 9 9 9 9 9 10 10 10 11 12 12 12 12 11 10 9 8 7 6 6 6 6 6 7 8 8 8 9 9 9 10 10 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 12 14 17 19 20 21 22 22 22 22 23 24 26 28 29 30 29 28 29 30 29 27 25 22 20 18 18 18 17 16 15 15 14 13 13 nan
nan 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 10 10 10 7 4 3 4 8 12 13 13 13 13 12 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 9 4 -2 -6 -8 -9 -10 -8 -5 -2 0 0 -1 -2 -1 1 4 7 8 7 6 7 7 7 6 6 8 10 11 12 12 12 12 12 11 10 9 9 9 9 9 9 9 10 11 11 12 12 12 11 10 8 7 6 6 5 5 5 6 7 8 9 9 8 9 9 10 10 11 11 11 11 11 11 10 10 10 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 12 12 14 15 17 19 21 23 27 30 32 33 30 26 21 18 20 23 25 25 23 20 17 15 13 13 nan
nan 9 9 8 8 8 8 8 7 7 7 8 9 9 10 11 11 11 11 12 11 11 11 10 7 2 -3 -3 1 7 12 13 14 16 16 14 13 12 12 11 11 10 10 9 9 9 8 8 9 9 9 10 10 10 10 10 11 10 10 9 10 9 5 -1 -6 -8 -6 -5 -3 -1 2 4 4 4 3 4 4 5 5 5 3 -0 -0 1 2 3 4 6 8 9 9 9 9 9 10 10 10 9 8 8 8 9 9 9 10 10 11 12 12 11 10 8 7 6 5 5 4 5 5 5 5 6 8 9 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 12 14 14 14 14 13 13 12 11 11 10 10 9 9 9 9 8 8 8 9 9 10 10 11 12 13 16 20 22 24 26 27 27 25 23 22 23 23 23 20 17 14 12 11 11 nan
nan 9 9 9 8 8 8 8 7 7 7 8 8 9 10 10 10 11 11 11 11 11 10 8 3 -3 -5 -3 2 8 11 12 15 17 17 15 14 13 13 12 11 10 10 10 9 8 8 8 8 9 9 9 10 11 11 11 11 10 10 9 9 7 3 -0 -2 -1 2 4 5 5 6 6 6 6 6 6 6 6 5 3 -0 -4 -5 -4 -3 -1 2 5 6 6 6 6 7 8 8 9 9 8 8 8 9 9 9 10 10 11 12 11 11 9 7 5 4 4 5 5 6 6 6 5 6 8 9 10 10 10 10 11 11 10 10 9 10 10 9 10 10 10 10 10 11 13 14 15 15 15 14 12 11 10 9 8 8 8 8 9 9 9 8 9 9 9 10 10 10 10 11 12 13 14 16 17 20 22 22 18 13 8 5 4 5 5 6 7 8 8 nan
nan 9 9 9 9 8 8 8 7 7 7 8 8 9 9 9 9 10 10 10 10 10 8 5 -1 -5 -4 1 6 8 9 11 13 16 17 17 17 15 13 12 11 11 11 10 10 9 8 8 8 8 8 9 10 10 11 11 11 10 10 10 9 8 7 7 8 10 12 13 13 13 12 10 8 6 5 5 5 5 5 4 2 -0 -1 -1 -1 -1 1 1 2 2 4 7 8 9 8 8 6 6 6 7 9 9 10 11 11 12 12 11 9 7 5 2 2 3 5 6 7 7 7 8 10 11 11 10 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 11 12 14 15 14 12 11 10 9 7 7 7 7 8 9 9 9 9 9 10 10 10 10 11 11 11 11 12 12 12 12 13 14 12 8 2 -4 -6 -6 -3 -0 3 5 7 8 nan
nan 9 9 8 8 8 8 8 8 7 8 8 8 9 8 9 9 9 9 9 9 9 7 2 -4 -5 -1 4 7 9 9 10 11 13 17 20 20 18 14 12 12 11 11 10 9 9 9 9 9 8 7 8 9 9 9 9 10 10 10 10 9 9 10 12 15 17 18 19 19 19 17 13 10 8 6 4 4 4 5 5 5 5 5 5 4 4 2 1 0 2 5 7 8 8 7 6 4 5 6 7 8 9 10 11 12 11 10 9 7 5 3 3 4 5 7 8 8 9 10 11 13 13 12 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 10 11 12 12 11 10 10 8 7 7 7 7 8 9 10 10 11 11 11 10 10 10 11 11 12 12 12 11 10 10 10 9 5 1 -2 -3 -1 -0 1 3 5 7 8 8 nan
nan 9 9 8 8 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 6 -0 -5 -4 0 5 8 9 9 9 10 12 16 21 23 20 15 12 12 11 11 10 9 9 9 9 9 8 8 8 8 7 8 8 9 10 10 9 9 10 12 13 15 16 16 16 15 14 13 12 12 12 10 7 6 5 4 5 6 7 8 8 8 8 6 5 5 5 5 3 2 2 3 3 4 5 7 7 8 9 10 11 11 9 8 6 5 4 5 7 9 10 10 9 10 11 12 13 13 12 11 10 10 9 9 8 8 8 8 9 9 9 8 7 7 7 8 8 8 8 9 10 10 9 9 10 9 8 8 7 7 8 9 10 11 12 13 12 12 11 11 11 11 11 11 12 11 10 9 8 6 2 -2 -3 -2 1 4 5 6 7 7 8 9 9 nan
nan 9 8 8 7 7 7 7 8 9 9 10 10 9 9 8 8 9 8 8 8 8 4 -3 -6 -3 2 6 9 9 9 9 10 11 15 20 23 21 17 14 12 11 10 9 9 9 9 9 9 8 8 8 7 7 8 8 9 10 9 9 10 11 12 12 12 12 10 7 4 3 5 9 13 15 13 11 9 8 6 6 7 8 8 9 10 10 10 9 9 8 5 2 -0 -2 -0 2 4 6 8 8 9 9 9 9 8 7 6 5 5 7 9 10 11 10 9 9 10 11 11 10 10 10 10 10 10 9 9 8 8 7 7 8 8 7 6 5 5 6 6 7 7 8 8 9 8 8 8 8 7 8 9 9 9 10 11 11 12 13 13 12 12 11 11 11 10 10 11 11 10 10 8 5 1 -4 -6 -5 -1 3 5 7 7 8 8 9 10 10 nan
nan 9 8 7 7 7 8 8 9 10 10 10 10 9 9 8 9 9 9 10 9 7 1 -5 -6 -2 2 7 9 9 9 10 10 10 13 18 22 22 19 15 13 11 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 10 11 10 9 5 -1 -5 -4 1 7 12 13 13 13 13 12 11 9 9 9 10 10 11 11 11 11 11 11 9 8 6 5 4 4 5 6 7 8 9 9 8 7 5 5 4 5 6 7 8 7 6 5 5 7 9 9 8 8 8 8 9 9 9 10 10 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 7 6 6 6 7 9 10 10 11 12 11 12 12 13 12 12 11 10 10 10 10 10 10 10 11 11 10 6 2 -1 -1 1 5 7 8 9 9 9 9 10 10 10 nan
nan 8 7 7 7 8 9 9 10 10 10 10 10 9 8 9 9 9 10 11 10 7 0 -5 -5 -2 3 7 9 9 9 10 10 10 12 16 20 22 21 17 13 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 9 7 3 -1 -1 3 8 13 14 12 12 14 15 16 15 15 14 14 14 15 15 15 16 17 17 16 15 14 13 12 11 10 8 7 7 7 8 8 7 6 5 4 4 4 5 5 5 4 4 5 7 9 10 9 8 7 7 7 7 7 7 8 9 10 11 12 12 11 10 10 11 12 12 11 11 10 9 8 8 7 6 6 6 7 9 10 11 11 12 12 11 11 12 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 11 12 13 13 12 11 10 10 10 10 10 10 10 11 nan
nan 7 7 8 8 9 9 10 10 10 10 10 9 9 8 8 9 9 10 11 10 8 2 -3 -4 -1 4 7 9 9 9 10 10 10 12 15 19 22 21 17 14 11 9 8 8 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 8 6 6 7 11 15 18 18 15 12 12 13 14 16 18 19 20 20 20 21 22 22 23 25 25 23 21 18 17 16 15 14 13 11 9 8 7 7 7 8 8 7 7 6 6 6 6 7 9 12 14 14 13 11 9 9 9 8 8 7 7 7 9 11 13 14 12 11 10 10 10 10 11 11 10 9 8 6 5 5 6 7 7 9 11 12 12 12 12 11 11 11 11 11 12 11 11 10 10 10 10 10 10 11 11 12 13 16 20 22 21 18 15 12 11 10 10 10 10 10 11 11 nan
nan 7 7 9 10 10 10 10 10 10 10 10 9 9 8 8 9 9 10 10 11 9 3 -3 -4 -1 4 7 9 9 9 10 10 10 11 13 17 22 22 18 15 12 9 7 8 9 11 11 10 10 10 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 9 13 16 18 18 16 13 12 11 12 12 14 15 17 18 20 22 23 24 25 27 27 26 24 22 20 19 19 19 19 18 16 13 10 8 8 10 12 13 12 11 10 9 9 10 12 14 16 16 15 12 11 10 10 10 11 10 10 9 9 11 12 12 10 8 7 8 8 7 7 7 8 8 6 5 4 5 7 8 9 10 12 13 13 12 12 11 10 10 10 11 11 12 11 11 11 10 10 10 10 10 11 12 12 13 16 19 19 16 13 10 9 10 10 10 10 10 10 10 11 nan
nan 7 8 9 10 10 10 11 11 10 10 10 10 9 9 8 9 9 10 10 10 8 2 -3 -5 -2 4 7 9 9 10 10 10 10 11 12 17 23 24 21 17 12 9 8 9 10 10 11 11 10 9 8 7 7 7 7 7 7 8 8 8 7 7 7 7 8 9 11 13 12 11 10 10 10 10 10 10 10 9 10 12 15 17 18 19 20 21 20 19 19 19 20 21 22 22 23 23 21 18 16 16 17 18 18 17 14 12 10 9 10 12 13 13 13 11 9 8 9 10 11 11 12 11 10 9 10 10 10 8 5 4 6 7 8 7 7 7 7 6 6 6 7 9 11 12 12 13 14 14 13 12 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 12 12 13 14 12 9 7 6 6 8 9 9 10 10 10 10 10 11 nan
nan 7 8 9 9 9 10 10 10 11 10 10 10 10 9 9 8 9 9 10 10 8 1 -5 -5 -1 4 7 9 9 10 10 10 11 11 12 19 25 26 24 18 11 9 9 10 10 11 12 11 10 9 8 7 7 7 8 8 8 9 9 9 8 8 8 8 9 9 10 9 8 7 5 4 4 5 6 6 6 6 8 10 12 13 13 13 14 13 13 13 14 16 17 19 21 22 24 23 22 21 22 24 25 24 20 16 12 10 9 9 11 12 11 10 9 7 6 7 8 10 10 10 10 9 9 9 9 9 8 6 5 6 8 9 10 9 9 9 8 8 9 11 13 14 14 13 13 14 14 13 12 12 11 10 10 9 9 9 10 10 10 11 10 10 10 10 10 10 11 11 12 12 11 9 8 8 8 9 10 10 10 10 10 10 11 11 11 nan
nan 8 8 8 8 9 8 9 10 10 10 11 10 10 10 9 8 8 9 9 10 6 -1 -4 -5 -1 4 7 9 10 10 10 11 11 12 15 21 27 27 24 16 10 9 9 10 11 12 12 11 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 7 3 -1 -3 -3 -1 2 3 5 7 10 12 13 12 11 11 12 12 12 12 13 13 14 16 18 19 19 18 17 18 19 20 19 18 15 12 10 9 9 9 10 10 10 10 8 7 6 7 8 9 8 8 8 8 8 9 10 11 11 10 10 11 12 12 12 12 12 12 13 13 15 16 17 17 15 14 14 14 13 13 12 11 10 9 9 8 8 9 9 10 10 11 10 10 10 10 10 10 11 11 10 11 10 11 13 15 15 14 12 11 11 11 11 11 11 11 11 nan
nan 9 9 8 8 8 8 8 9 9 10 10 11 11 10 10 9 8 8 9 9 4 -2 -5 -6 -2 4 8 9 10 10 10 11 11 13 18 25 28 26 20 13 10 9 9 10 11 11 11 11 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 7 0 -5 -8 -7 -4 -0 3 7 11 13 14 13 12 11 11 12 12 13 13 14 14 15 16 17 15 11 8 6 6 6 7 8 8 7 7 7 7 8 9 9 9 8 7 5 3 3 4 5 5 5 6 8 9 10 11 13 14 15 15 15 15 15 15 15 15 15 16 17 17 17 17 16 16 15 14 13 13 13 13 12 11 10 9 9 8 9 9 10 10 11 10 11 10 10 10 10 11 11 11 11 10 10 13 16 18 19 18 15 12 12 12 12 12 12 12 12 nan
nan 10 9 9 9 8 8 8 9 9 9 10 10 10 10 10 9 8 8 9 8 3 -2 -6 -7 -2 4 7 9 10 10 10 11 12 15 22 27 27 23 17 13 11 11 10 10 11 10 10 9 9 9 9 9 8 8 8 9 9 10 10 9 9 9 10 10 11 10 10 9 5 -1 -6 -8 -7 -3 2 7 11 14 15 14 13 11 11 11 12 12 13 14 14 14 15 15 12 7 2 -3 -7 -6 -3 -1 0 1 1 1 1 3 5 6 6 4 1 -2 -5 -6 -5 -3 -2 -1 0 3 6 8 11 14 15 15 16 16 16 17 17 17 17 17 17 17 16 15 14 12 12 12 12 12 12 12 12 12 12 11 10 9 9 9 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 10 11 12 15 17 19 19 17 15 14 13 13 13 13 13 13 nan
nan 11 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 9 8 4 0 -4 -5 -2 3 6 8 10 10 10 11 14 18 25 26 23 18 15 14 13 12 11 11 11 10 9 8 9 10 10 9 9 9 9 10 10 11 10 10 10 10 10 11 11 10 10 8 2 -2 -5 -6 -4 1 7 11 15 17 16 14 12 11 11 11 12 13 14 14 14 14 13 12 7 2 -2 -5 -5 -2 -1 -0 -0 -1 -2 -3 -2 -1 1 0 -2 -4 -7 -8 -8 -7 -5 -4 -4 -5 -4 -1 3 6 9 11 12 13 13 14 15 16 16 16 16 16 16 14 13 11 10 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 10 11 10 11 11 12 15 19 20 19 17 15 14 13 13 13 13 13 nan
nan 11 11 10 10 10 9 9 9 9 10 10 10 10 9 9 8 7 7 8 8 6 3 -1 -3 -1 2 5 8 10 10 11 12 14 20 25 24 19 16 14 13 13 12 12 12 11 10 9 9 11 11 10 10 10 11 11 11 11 11 10 9 9 9 9 10 10 10 9 6 0 -4 -6 -5 0 6 10 14 18 19 17 15 13 12 11 12 13 14 15 15 14 13 12 10 8 7 6 7 9 9 8 6 5 3 2 1 1 1 0 -2 -4 -5 -4 -3 -0 2 4 3 2 1 1 2 3 4 4 4 5 9 12 14 14 13 13 13 13 13 12 11 10 9 9 9 9 10 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 12 14 18 19 21 19 17 15 14 14 13 13 13 nan
nan 11 11 11 10 10 10 10 9 9 10 10 10 9 9 9 8 7 7 7 8 8 5 1 -2 -2 1 4 7 10 10 11 12 14 20 24 22 19 16 13 12 11 11 12 11 10 10 10 11 12 12 11 10 11 12 12 11 9 6 4 4 5 6 7 9 9 9 8 4 -2 -5 -6 -2 4 7 11 15 21 22 19 16 14 12 12 12 14 15 15 14 12 11 10 10 11 13 15 16 16 15 14 12 11 10 9 8 7 7 5 4 3 4 5 7 8 9 10 9 10 10 9 9 7 5 3 4 8 13 15 14 13 12 11 11 11 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 14 15 18 20 21 19 17 16 15 15 14 14 nan
nan 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 8 8 5 2 -1 -2 -0 3 7 9 10 10 11 14 19 23 22 20 16 12 11 11 11 11 10 10 9 10 12 13 12 11 10 10 11 11 9 5 -1 -4 -3 -1 2 6 9 10 10 7 1 -4 -7 -5 1 5 9 12 18 24 24 20 17 14 12 12 13 13 13 12 10 9 8 8 10 12 14 15 15 16 16 16 16 15 14 13 11 11 11 11 10 10 11 11 11 12 12 12 13 15 15 14 13 10 9 9 13 17 19 17 13 11 10 9 9 10 11 11 10 10 9 9 9 9 9 10 10 9 10 11 12 13 13 13 13 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 17 20 22 21 20 20 20 20 18 17 nan
nan 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 8 8 7 8 8 6 4 -0 -3 -1 2 6 9 10 10 10 13 19 22 22 20 16 12 11 11 11 10 9 9 10 11 13 14 13 11 9 10 10 10 9 4 -1 -4 -3 -1 4 8 9 9 8 4 -2 -6 -7 -2 4 7 10 13 20 24 22 19 15 13 12 12 13 12 11 9 8 7 8 10 11 12 12 11 12 13 15 16 17 17 17 15 15 16 16 17 16 15 14 14 14 15 16 18 20 22 20 17 14 12 12 14 17 19 18 15 11 9 8 8 9 11 12 11 11 10 10 10 10 10 10 10 9 9 10 12 13 13 14 13 12 11 11 11 11 10 10 10 11 11 11 11 11 11 12 12 13 13 14 14 14 13 13 14 16 18 21 24 27 29 29 27 25 23 nan
nan 9 9 9 9 10 11 11 11 11 11 11 11 11 11 10 9 9 8 8 8 8 7 5 0 -3 -2 1 5 8 9 10 10 13 17 20 22 21 16 12 12 11 9 8 9 10 11 12 13 13 13 11 10 10 11 12 12 8 5 4 3 3 7 8 7 5 3 -3 -7 -8 -4 2 7 9 11 15 20 22 20 17 14 12 13 12 12 11 9 8 8 9 10 11 12 12 10 9 10 11 12 13 15 16 16 17 18 20 21 20 19 19 18 19 21 23 25 27 28 27 22 17 13 12 12 15 17 19 19 16 13 10 9 10 12 13 13 11 10 10 10 11 11 10 10 9 9 9 11 12 12 13 12 11 11 11 11 11 10 10 10 10 11 11 11 10 10 11 11 12 13 13 14 14 14 14 13 13 14 15 19 24 29 31 31 31 31 31 nan
nan 9 8 7 8 10 11 11 10 10 10 11 12 12 12 11 10 9 9 8 8 8 8 6 2 -2 -3 -1 3 7 9 9 10 12 15 19 22 21 16 14 12 9 7 7 9 11 12 12 11 11 11 10 11 11 12 13 13 12 11 10 7 6 6 5 2 -1 -4 -8 -9 -5 1 7 10 11 11 15 18 20 19 16 14 14 13 13 12 10 9 8 9 10 11 12 12 11 10 10 10 10 10 10 11 11 11 12 15 17 18 18 18 19 20 22 26 29 29 28 27 24 18 14 13 13 14 17 22 25 25 21 17 14 13 14 14 13 12 11 10 10 10 10 10 10 9 9 8 10 11 11 11 11 10 10 11 11 12 11 11 10 10 11 11 10 10 10 10 11 12 12 12 13 13 14 13 13 12 12 12 13 15 18 21 22 24 26 29 32 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
30 24 17 11 7 4 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 1 2 3 3 4 4 4 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 1 2 4 22 123 269 526 814 1086 1338 1437 1425 1407 1337
24 14 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 6 11 100 289 539 866 1214 1333 1365 1344
11 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 35 106 174 474 773 992 1180
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 1 6 15 76 213 397 646
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 19
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