Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 7 7 7 8 9 9 9 9 8 7 6 5 6 7 8 8 8 8 7 7 7 8 8 7 7 7 7 7 7 7 6 5 5 5 6 8 9 8 7 6 6 6 7 7 7 8 9 9 7 4 2 3 5 5 6 8 8 7 5 5 6 7 8 8 8 8 8 9 9 9 9 9 9 8 7 4 2 0 2 6 9 11 12 13 14 15 16 16 15 13 12 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 9 9 8 8 7 7 6 6 6 5 5 4 4 3 3 3 4 4 4 5 5 6 8 9 11 11 11 11 12 15 17 17 17 16 16 15 14 13 14 16 18 19 19 18 16 14 12 11 10 10 10 12 13 15 17 17 17 16 15 14 13 12 11 10 10 nan
nan 7 7 7 8 7 8 8 8 8 8 8 8 7 7 6 5 5 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 4 4 5 6 8 7 6 6 6 6 7 7 7 8 9 10 9 6 4 4 4 5 6 7 7 6 4 5 6 8 8 8 8 8 8 9 9 9 9 9 9 8 7 5 2 -1 -0 4 7 9 11 12 13 14 14 14 13 11 10 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 9 9 9 9 9 10 9 9 9 8 8 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 5 4 4 4 6 7 8 8 7 8 10 12 13 13 14 14 14 14 13 13 14 15 16 17 17 16 15 13 12 11 10 9 10 11 13 14 15 15 15 15 14 13 12 11 10 10 nan
nan 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 7 7 7 6 5 4 5 6 7 6 6 6 6 6 6 6 7 9 10 10 9 8 7 7 6 7 7 7 6 5 6 6 7 8 9 8 8 8 8 9 9 9 9 9 8 7 6 2 -2 -2 1 5 7 9 10 11 11 11 11 10 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 7 7 6 6 6 5 6 5 5 6 6 6 6 6 6 6 6 6 6 6 5 5 5 6 7 7 7 7 7 8 9 9 9 10 10 11 11 11 11 12 13 14 15 15 15 14 13 12 11 11 10 10 11 11 12 13 14 14 13 13 12 11 11 10 nan
nan 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 7 7 7 7 6 6 6 6 7 7 8 8 8 8 7 7 7 7 7 5 4 5 6 6 6 6 7 7 6 6 6 7 8 9 9 10 10 10 9 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 8 9 9 9 8 7 4 -0 -2 -1 2 4 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 5 5 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 5 5 6 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 9 9 10 11 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 11 nan
nan 8 8 8 8 8 7 7 8 8 8 8 9 9 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 7 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 7 7 7 7 6 6 6 7 8 9 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 8 8 8 9 9 8 9 9 9 8 7 6 3 0 -2 -2 -0 3 5 5 5 5 4 5 5 6 6 6 7 7 6 6 6 7 6 6 6 7 7 7 7 7 7 7 8 8 7 7 6 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 6 6 5 5 5 6 6 6 7 7 7 7 7 6 6 6 5 5 6 6 6 7 7 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 nan
nan 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 8 7 7 7 7 7 6 6 7 8 9 9 9 8 7 6 7 7 8 8 9 9 9 10 10 10 10 9 8 8 7 7 7 7 8 8 8 8 8 8 8 9 10 9 8 8 8 6 3 -0 -4 -4 -2 1 2 2 2 2 2 3 5 6 6 6 6 6 6 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 6 6 6 6 5 5 5 5 5 6 6 7 7 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 9 8 8 7 7 7 8 7 7 7 6 6 6 7 7 8 8 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 9 8 8 7 7 7 8 9 10 11 11 10 8 7 7 7 7 7 8 8 9 10 10 10 10 10 9 9 8 8 7 8 8 8 8 8 8 8 9 9 10 9 9 8 8 8 6 3 -1 -4 -4 -3 -2 -1 -1 -1 -0 1 3 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 9 9 8 7 7 7 7 7 7 7 6 6 6 6 6 6 8 9 10 10 9 9 9 9 9 10 10 11 10 10 10 10 10 11 12 12 11 9 8 8 8 8 8 8 9 10 11 11 11 9 8 7 8 8 8 8 8 9 9 10 9 9 10 10 10 9 8 7 8 8 8 7 7 8 8 9 9 9 9 9 9 9 8 7 6 4 0 -3 -4 -5 -5 -5 -5 -4 -1 1 3 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 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 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 nan
nan 8 8 7 7 7 6 7 7 7 7 7 7 7 6 6 6 7 9 10 11 11 10 10 10 10 10 11 11 11 10 9 9 10 10 11 11 11 9 8 8 9 9 8 8 8 9 10 10 10 9 8 8 9 10 10 9 9 9 9 9 9 8 8 10 10 10 9 8 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 7 5 3 0 -3 -6 -8 -9 -8 -5 -1 1 4 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 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 7 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 8 9 9 9 9 nan
nan 7 6 6 7 7 7 6 7 7 7 7 7 7 7 6 6 6 8 9 11 11 10 9 9 9 9 10 10 9 8 8 8 9 9 10 10 9 8 7 8 8 8 7 6 7 8 9 9 9 8 7 7 8 9 9 9 9 9 9 9 8 7 7 8 9 9 9 8 8 7 7 7 7 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 5 3 -1 -6 -10 -11 -8 -5 -2 1 4 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 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 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 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 nan
nan 6 6 6 7 7 7 6 6 6 6 6 7 7 6 6 6 6 7 9 10 10 9 8 8 7 7 8 8 7 7 7 7 8 9 10 9 8 8 7 7 7 7 6 6 6 7 7 8 8 7 7 7 7 8 8 8 8 9 9 9 8 7 7 7 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 10 10 9 8 8 8 8 8 6 4 -1 -7 -10 -11 -10 -6 -2 2 5 6 6 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 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 nan
nan 7 6 7 7 7 7 6 6 6 6 6 7 6 5 5 5 6 8 9 10 9 9 8 8 7 7 7 7 7 7 6 7 8 9 10 10 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 7 8 8 7 7 7 8 8 7 7 8 8 8 8 9 9 8 8 8 9 10 10 9 8 8 8 8 8 8 7 4 -0 -5 -10 -12 -12 -8 -2 2 4 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 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 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 nan
nan 8 7 6 7 7 7 7 6 6 6 6 6 6 5 5 6 8 10 11 10 9 9 8 8 8 8 7 7 7 7 6 6 7 8 9 9 9 8 8 8 7 7 7 8 7 7 7 7 7 7 8 7 7 7 7 8 8 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 9 10 10 9 8 7 7 7 7 8 8 7 5 1 -4 -10 -13 -12 -8 -3 1 4 5 6 6 7 7 7 7 7 7 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 8 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 nan
nan 9 8 7 7 7 7 7 7 6 6 6 5 5 6 6 8 10 11 11 10 9 8 8 8 9 8 8 8 7 7 6 6 6 7 8 9 9 8 8 7 7 7 8 8 8 8 8 8 7 7 8 8 7 7 7 8 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 9 9 8 7 7 8 9 10 9 8 7 7 7 7 7 7 8 9 8 6 3 -2 -9 -12 -12 -9 -4 0 3 4 5 6 6 6 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 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 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 nan
nan 10 8 8 8 8 7 7 7 7 7 6 6 6 6 7 9 11 12 10 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 8 7 7 7 7 8 8 8 8 8 8 7 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 7 6 6 6 7 8 9 8 8 8 8 7 6 7 7 9 10 9 8 8 7 7 6 6 7 8 9 9 8 7 4 -1 -7 -12 -13 -8 -3 0 1 3 4 4 5 5 6 6 6 6 5 5 5 5 5 6 6 6 6 7 7 7 6 6 6 6 6 6 7 7 7 8 8 8 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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 10 9 9 8 8 7 7 7 7 7 7 7 7 7 8 10 11 10 9 8 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 8 7 7 8 8 8 7 6 6 6 7 8 9 8 8 8 7 6 6 6 7 9 9 9 8 8 8 7 7 6 6 7 8 9 9 8 7 5 -1 -8 -12 -10 -6 -2 -0 1 2 2 3 4 4 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 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 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 8 7 7 7 7 7 7 7 nan
nan 9 9 8 8 7 7 7 7 7 7 7 6 6 6 8 10 10 9 8 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 9 9 9 8 8 7 7 8 8 7 7 7 6 6 7 8 7 8 8 9 8 6 6 6 7 8 9 9 8 8 8 7 7 6 6 6 7 8 9 9 8 7 3 -3 -9 -10 -7 -3 -1 -0 1 1 1 1 2 3 4 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 7 7 6 6 6 6 5 5 5 5 5 nan
nan 9 8 8 7 7 7 8 8 7 7 6 6 6 6 8 10 10 9 8 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 7 7 8 7 7 6 6 7 8 8 8 8 8 8 7 7 7 8 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 8 8 8 8 8 8 8 7 6 6 7 7 8 9 9 8 8 6 2 -4 -7 -6 -3 -2 -0 1 1 1 0 0 1 2 3 4 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 11 11 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 8 8 8 7 7 7 6 6 6 6 6 5 5 5 6 nan
nan 8 8 9 8 8 8 8 8 7 6 6 6 6 7 9 11 11 9 8 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 7 8 7 7 6 6 6 7 7 8 8 8 8 7 7 7 8 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 5 5 6 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 8 8 8 5 1 -2 -3 -3 -2 -0 2 3 2 1 -0 -0 0 1 3 4 5 5 5 6 6 6 7 7 7 7 7 7 7 8 8 9 9 9 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 nan
nan 8 9 9 9 8 7 7 7 7 6 7 7 8 8 9 11 10 9 8 7 7 7 7 7 7 8 8 9 9 9 8 7 7 8 8 8 8 8 8 8 7 7 6 5 5 6 7 8 8 8 7 7 8 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 7 6 5 5 6 6 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 8 7 5 3 1 -0 -0 2 4 5 4 2 -0 -2 -1 -0 1 3 4 5 5 6 6 6 7 7 7 7 7 7 8 8 9 9 10 10 11 11 11 12 12 12 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 nan
nan 9 9 9 8 7 7 6 6 6 7 7 8 8 8 9 10 9 8 8 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 9 9 9 8 8 7 7 6 5 5 5 6 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 6 6 6 6 7 7 8 8 8 7 7 6 6 6 6 7 7 7 7 8 9 9 9 7 6 7 6 5 4 3 5 8 7 5 2 -1 -2 -2 -1 -0 1 2 4 5 5 6 6 7 7 7 7 7 7 8 8 9 10 10 11 11 12 12 12 12 12 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 8 nan
nan 9 9 8 7 7 6 6 7 7 7 8 8 8 8 9 10 9 8 8 7 7 8 8 7 7 8 8 9 9 9 9 8 8 8 8 9 10 10 9 8 7 7 7 6 6 6 6 6 7 8 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 8 8 9 8 8 8 7 6 6 7 7 7 7 8 8 9 9 8 6 7 8 8 7 7 7 8 9 8 5 2 -2 -3 -2 -1 -1 -1 0 2 4 5 5 6 6 7 7 7 7 8 8 9 9 10 11 11 12 12 12 12 12 12 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 7 7 7 8 8 9 9 9 10 10 9 9 9 9 nan
nan 9 8 7 7 6 6 7 7 7 8 8 8 7 8 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 10 10 9 8 8 8 8 7 7 7 7 8 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 6 6 7 8 8 8 8 8 9 9 7 7 7 8 8 9 9 9 9 8 8 6 2 -1 -1 0 0 -1 -2 -2 -0 2 4 5 6 6 7 7 7 8 8 8 9 10 10 11 11 12 12 12 12 11 11 11 11 10 10 10 10 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 6 6 6 7 7 8 8 9 9 9 10 9 9 9 9 nan
nan 7 7 7 6 6 7 7 7 7 7 7 7 8 9 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 8 8 9 8 8 8 8 8 9 11 11 11 10 10 9 8 8 7 8 9 10 10 10 10 10 10 9 9 10 10 10 9 8 7 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 9 8 7 8 8 8 8 9 9 10 9 8 7 6 4 2 3 3 2 0 -2 -2 -2 0 2 4 5 6 7 7 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 8 8 9 9 9 8 8 8 8 8 7 7 7 7 6 6 6 5 5 6 6 6 5 5 6 6 7 7 8 8 9 9 9 9 9 9 nan
nan 7 7 7 7 8 8 7 7 7 7 6 7 8 9 10 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 6 8 10 12 12 11 10 9 8 8 8 8 9 10 11 11 11 10 10 9 10 10 11 11 10 9 7 6 6 7 7 7 7 8 9 9 9 8 8 8 8 9 9 9 9 8 8 9 9 8 7 7 8 8 9 9 10 10 9 7 7 8 9 8 8 9 9 10 9 9 8 7 6 6 6 5 3 2 0 -1 -2 -1 1 2 4 5 6 7 8 8 8 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 4 5 5 6 7 7 7 7 7 8 8 8 8 nan
nan 7 8 8 8 8 8 7 7 6 6 7 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 6 6 8 9 11 10 9 9 8 8 8 8 10 11 11 11 11 10 9 9 10 11 11 10 10 10 10 9 9 8 7 7 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 7 6 7 8 9 9 10 10 8 7 7 8 8 8 8 9 10 10 10 9 8 7 7 8 7 6 5 5 3 1 -0 -0 1 2 3 4 5 6 7 7 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 5 5 6 7 7 7 7 7 7 7 7 nan
nan 8 8 9 9 8 8 7 7 6 7 7 7 7 7 8 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 6 5 6 7 8 8 8 8 7 7 8 9 11 12 11 10 10 9 9 9 9 10 10 10 10 11 11 10 9 9 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 6 7 8 8 9 9 9 8 7 7 8 8 8 9 9 10 10 10 9 8 7 8 8 7 7 7 8 6 4 2 2 3 5 6 5 4 4 5 6 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 6 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 6 6 6 6 6 6 6 7 7 7 nan
nan 8 9 9 9 8 8 7 7 7 7 8 8 7 7 7 8 9 8 8 8 7 7 7 7 7 7 7 7 8 8 9 10 11 10 10 9 8 6 5 5 6 7 7 6 6 6 7 8 11 12 11 10 9 8 8 8 9 10 10 10 10 11 11 10 9 9 8 8 8 8 7 7 9 9 9 8 8 8 8 8 8 8 8 8 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 10 11 11 10 8 7 7 8 8 7 7 8 8 8 6 5 5 7 10 10 8 5 2 1 3 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 6 5 5 5 5 5 6 6 6 6 6 5 5 5 5 5 5 5 6 6 6 6 6 5 5 5 6 6 6 6 6 6 7 7 7 7 nan
nan 10 10 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 9 10 10 11 11 10 9 7 6 6 6 6 6 6 6 6 7 8 10 11 11 9 9 9 8 8 8 9 9 10 10 10 11 11 10 9 9 9 8 6 5 6 9 10 10 8 8 8 8 8 8 8 8 7 6 6 6 7 8 8 7 6 6 7 7 7 7 8 8 9 9 10 10 10 9 8 7 7 7 7 7 7 7 8 8 8 8 8 10 12 11 8 3 -3 -4 1 7 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 6 6 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 4 4 5 5 6 6 6 6 5 5 5 5 6 6 6 6 7 7 7 7 7 nan
nan 10 10 9 9 10 9 8 8 8 8 8 7 7 7 8 8 8 7 7 7 6 7 7 8 8 8 7 7 7 8 8 9 9 10 11 11 10 9 8 7 7 7 7 8 7 7 7 8 9 10 10 10 10 10 9 8 8 9 8 8 9 9 11 11 11 10 10 9 8 5 4 5 8 10 10 9 8 8 8 7 8 8 8 7 5 5 6 7 8 8 7 6 6 6 6 6 7 8 9 9 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 9 8 4 -3 -10 -7 1 6 9 10 10 9 8 8 8 8 8 8 9 9 9 9 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 5 6 6 5 5 5 4 4 3 3 4 5 5 6 6 6 6 6 5 5 6 6 6 7 7 7 7 8 8 nan
nan 10 10 10 9 10 9 9 9 9 8 8 7 7 7 8 8 8 8 8 7 6 6 6 7 7 8 7 7 8 8 8 8 9 10 11 11 11 10 10 9 9 9 9 10 9 9 8 8 9 10 10 10 11 11 11 9 9 8 7 7 8 9 10 11 11 10 9 8 5 3 2 5 7 10 10 9 8 7 7 7 8 8 8 6 5 5 6 8 9 8 7 6 6 5 6 6 8 9 9 9 9 9 9 8 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 4 -1 -9 -11 -6 2 8 10 11 9 8 7 7 7 8 8 8 8 9 9 8 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 6 6 6 5 5 4 4 3 3 3 4 5 6 6 6 6 6 6 5 6 6 6 7 7 7 8 8 8 nan
nan 9 9 9 9 8 8 9 9 9 8 7 7 7 7 7 7 8 9 9 8 7 6 6 6 7 7 7 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 9 9 9 10 11 12 11 9 8 7 7 8 9 9 10 10 10 8 5 2 1 2 6 9 10 9 8 7 7 7 7 7 7 7 6 6 6 7 8 9 9 8 7 5 5 6 7 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 8 8 7 8 7 7 7 6 2 -4 -9 -7 0 6 10 11 10 8 7 6 6 7 7 8 8 8 8 8 8 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 4 3 3 3 4 4 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 nan
nan 10 9 8 8 8 8 9 9 9 8 8 7 8 8 8 8 8 9 10 9 8 7 6 6 6 7 7 8 8 8 9 9 9 9 9 9 9 10 10 11 10 9 9 9 9 9 8 8 8 8 8 8 9 9 11 11 10 9 9 8 8 8 8 9 9 8 6 3 1 1 5 9 12 11 8 7 7 7 6 7 7 7 6 7 7 7 6 7 8 9 8 7 6 6 7 7 7 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 8 7 7 7 7 7 7 5 1 -4 -4 1 8 12 13 11 9 7 5 5 5 6 6 7 7 8 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 3 3 4 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 nan
nan 10 10 9 8 8 9 9 9 8 8 8 8 8 8 8 8 8 9 10 9 8 7 7 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 10 10 10 9 8 8 8 8 8 8 7 7 7 7 7 7 9 10 11 11 11 11 10 8 7 7 7 7 5 3 2 4 8 12 13 11 9 8 7 7 6 7 7 7 7 7 6 6 6 6 8 9 8 7 6 6 7 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 8 7 7 7 7 7 7 5 2 1 5 11 16 17 15 13 10 8 5 4 4 5 6 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 nan
nan 10 10 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 8 7 7 6 6 6 6 7 7 7 7 8 8 9 9 9 9 9 9 9 8 7 7 7 8 8 8 7 6 6 8 8 7 7 8 9 10 11 12 11 9 7 7 7 7 6 5 5 8 11 13 13 11 9 8 7 8 8 8 9 8 7 6 5 5 5 7 8 8 8 7 6 7 8 8 8 8 9 9 8 8 7 7 7 8 8 9 9 9 9 9 8 8 8 7 6 7 7 7 7 8 13 18 19 17 15 14 12 9 5 3 2 4 5 6 7 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 nan
nan 9 10 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 8 8 7 7 7 8 9 9 9 8 7 7 7 7 7 6 7 8 9 9 7 6 6 8 9 8 7 7 7 8 9 10 11 10 8 7 7 8 7 6 7 10 12 12 11 9 8 8 8 9 9 10 10 9 7 5 4 5 7 8 8 7 6 6 7 7 8 9 9 9 9 8 8 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 8 9 11 13 14 14 14 14 14 12 9 5 1 1 3 5 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 nan
nan 9 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 9 8 7 7 7 7 7 7 6 8 10 10 10 8 7 7 8 9 9 9 8 7 6 7 8 8 9 8 7 7 7 7 7 8 10 11 10 9 8 8 9 10 10 9 9 9 8 6 5 5 6 7 8 7 6 6 6 7 7 8 9 9 9 8 7 7 7 7 8 8 9 9 9 9 9 9 9 8 9 9 9 8 7 7 8 9 9 9 9 10 11 11 11 11 8 4 -0 0 2 4 5 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 nan
nan 8 8 8 8 8 8 8 8 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 8 9 9 9 8 8 8 9 9 8 7 8 9 10 10 9 8 8 8 9 10 10 9 7 5 5 6 6 6 7 7 7 7 7 7 8 9 9 9 8 8 10 11 12 10 9 9 8 7 6 5 5 7 7 7 6 5 6 7 7 7 8 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 8 8 7 7 7 6 6 6 4 -1 -2 -1 2 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 4 4 4 5 5 5 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 nan
nan 8 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 10 10 10 9 9 10 11 11 9 7 6 6 8 9 9 9 9 8 8 9 9 9 8 6 6 6 6 6 7 7 8 7 7 6 6 7 8 8 8 9 10 12 12 10 9 9 9 8 7 6 7 7 7 7 6 6 7 7 8 8 8 7 7 6 6 6 7 8 9 9 9 9 9 9 10 10 9 9 9 9 9 10 9 8 8 8 9 9 7 5 3 1 -1 -1 -3 -6 -6 -4 -1 2 4 5 6 6 6 5 5 5 5 5 5 5 5 5 5 4 4 4 3 3 3 3 3 4 4 4 5 5 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 8 9 nan
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nan 9 9 9 9 9 9 8 8 7 7 7 8 9 9 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 11 10 10 9 9 7 6 6 7 8 8 9 8 9 9 9 9 8 7 7 8 9 9 9 8 7 7 7 7 8 8 8 7 8 8 8 7 7 6 5 5 7 9 11 12 11 11 10 11 10 10 10 9 9 10 9 9 9 9 10 12 12 11 11 10 10 10 11 11 12 13 13 12 11 10 10 10 10 10 10 10 10 11 13 15 19 21 21 19 17 17 18 21 24 27 28 27 24 20 16 14 14 14 13 12 12 12 12 11 11 11 11 10 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 8 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 8 8 8 9 9 10 10 9 10 10 10 10 9 9 9 11 11 11 10 10 9 8 8 7 7 7 7 8 8 9 8 8 7 5 5 6 8 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 13 15 15 14 12 11 11 11 10 10 11 11 11 11 10 10 10 10 10 8 8 8 9 9 10 10 11 12 13 13 10 7 4 1 2 5 8 12 13 12 11 13 16 17 15 13 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 nan
nan 9 8 8 8 8 8 8 8 8 8 9 10 10 10 10 9 9 9 9 10 10 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 9 9 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 10 10 9 8 7 7 8 8 8 8 8 7 7 8 9 10 11 11 11 11 11 11 11 11 11 12 12 13 13 12 13 15 17 18 18 16 13 12 12 12 11 11 10 10 9 8 8 9 9 10 9 8 8 8 9 10 10 11 11 11 11 11 11 10 7 2 -2 -4 -5 -4 -4 -1 2 7 12 13 11 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 nan
nan 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 9 10 10 10 10 10 10 10 10 9 9 10 11 10 9 9 9 10 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 11 10 9 8 7 6 6 6 7 7 8 8 9 10 12 12 12 11 11 11 11 11 11 11 10 10 11 12 12 13 13 14 16 17 18 17 14 12 12 11 11 11 10 9 8 7 7 7 7 8 9 9 9 9 9 9 9 10 11 11 11 11 13 15 18 19 18 13 9 6 4 2 5 8 10 11 9 10 11 12 12 12 12 11 11 11 11 11 11 12 14 15 14 13 13 13 13 13 13 13 13 nan
nan 8 8 8 8 8 9 9 10 11 11 11 10 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 9 9 10 10 10 10 10 10 10 10 9 9 10 11 10 9 9 10 10 11 11 10 10 10 11 12 11 10 10 10 10 10 10 10 11 11 11 9 7 6 5 5 5 5 6 6 8 9 10 11 12 13 12 11 11 11 11 11 11 11 11 10 10 11 11 12 12 13 14 14 14 13 11 10 9 8 8 8 7 7 7 7 7 7 7 7 8 9 10 10 10 10 9 8 9 10 11 11 11 12 14 18 21 25 27 27 25 24 25 26 27 26 23 20 20 20 21 20 18 17 15 14 13 12 14 16 21 23 21 18 16 15 14 14 14 13 13 13 nan
nan 8 8 8 8 8 9 10 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 10 11 11 11 10 9 9 8 6 4 1 0 2 5 6 6 5 4 5 7 8 9 9 9 9 7 5 4 2 2 3 5 6 8 9 10 11 11 11 12 11 11 11 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 10 8 7 5 5 5 5 5 5 6 7 8 8 8 8 9 9 9 10 11 11 11 11 10 9 9 9 10 11 11 11 11 13 16 20 25 29 30 31 33 34 35 34 30 30 29 29 29 29 28 25 22 20 19 18 19 23 26 26 23 19 16 14 14 14 14 14 13 13 nan
nan 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 9 11 12 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 6 3 -1 -4 -7 -8 -6 -3 0 1 -0 -1 -1 2 5 7 9 9 7 6 4 3 3 3 4 6 8 10 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 11 10 9 9 8 8 8 7 7 5 5 4 4 4 5 5 6 7 8 9 10 10 10 10 11 11 11 11 11 11 11 12 12 11 11 10 11 11 12 12 11 12 13 14 17 19 22 23 24 24 24 23 22 22 23 25 27 29 30 29 28 28 28 27 26 24 21 19 18 17 18 17 16 16 15 14 14 13 nan
nan 10 10 9 9 9 9 9 9 8 8 9 9 9 9 10 10 10 11 11 11 10 11 11 10 8 4 3 4 8 11 12 12 12 12 12 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 8 4 -2 -6 -9 -10 -9 -6 -2 1 3 2 0 -1 0 3 6 7 7 5 3 3 4 4 4 6 8 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 12 12 11 9 8 7 7 7 6 6 5 4 5 5 5 5 6 7 8 9 9 10 11 11 11 12 11 11 11 11 11 11 10 11 12 13 13 14 13 13 13 14 14 13 13 13 12 12 13 13 13 13 13 11 11 11 12 13 15 17 19 21 23 26 29 31 31 28 24 20 17 19 22 24 24 22 20 17 14 13 13 nan
nan 10 10 10 9 9 9 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 11 11 8 2 -2 -3 1 7 11 12 13 15 15 14 13 12 12 11 11 10 10 9 9 8 8 8 8 9 10 11 11 11 10 10 10 10 9 9 9 8 4 -2 -6 -9 -7 -5 -2 1 4 6 6 6 5 5 6 6 7 6 3 -1 -2 -0 2 4 6 7 9 9 9 9 9 9 10 10 11 10 10 10 10 10 11 11 11 11 10 8 7 6 6 6 6 6 5 5 5 6 6 5 6 7 9 10 11 11 11 12 12 12 12 11 10 10 10 10 10 10 11 12 13 14 16 17 16 16 16 15 14 13 12 10 10 9 9 9 9 8 7 7 8 8 9 10 10 11 12 15 19 21 23 24 26 26 24 22 21 22 22 21 19 17 14 12 11 11 nan
nan 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 9 3 -3 -5 -3 2 8 10 12 14 16 16 15 14 13 13 12 11 11 11 10 9 8 7 7 8 9 9 10 11 11 11 11 10 10 10 9 9 7 3 -1 -3 -2 1 3 4 5 6 7 7 7 8 8 8 7 6 4 0 -3 -4 -3 -1 1 3 5 5 5 5 7 8 9 10 10 11 10 10 10 11 11 11 11 10 9 8 7 6 6 6 5 5 5 5 5 6 7 6 6 7 9 11 11 11 11 12 12 12 12 11 10 10 10 10 10 10 11 11 11 12 14 16 17 18 18 16 14 13 11 9 7 7 7 7 8 8 8 7 7 8 8 9 9 10 10 10 12 13 13 14 16 19 21 21 17 12 7 4 4 5 6 7 8 9 9 nan
nan 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 11 10 10 9 5 -1 -5 -4 0 5 8 9 10 12 15 16 16 16 15 13 12 11 12 11 11 9 8 8 7 8 8 8 9 10 11 11 11 10 10 10 10 9 8 7 7 7 9 11 11 12 12 11 9 7 7 7 7 7 6 6 5 2 0 -0 -1 -1 -1 -0 0 1 2 5 8 10 10 10 10 8 8 8 9 10 11 10 9 8 8 7 7 7 6 5 4 3 3 4 6 7 8 9 10 12 13 13 11 9 10 11 12 12 12 11 10 10 10 10 10 11 11 10 10 11 13 14 15 16 15 13 11 10 8 6 6 5 5 6 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 12 13 13 12 6 0 -4 -6 -4 -1 1 4 7 8 8 nan
nan 9 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 7 2 -4 -5 -2 3 7 9 9 10 10 12 15 18 19 18 14 11 11 11 11 10 9 8 8 8 8 7 7 8 9 9 9 9 10 10 10 9 9 9 11 13 14 17 17 18 18 18 15 11 8 7 6 6 6 6 6 6 5 5 6 5 4 3 1 0 1 3 6 9 10 10 9 7 6 7 8 9 9 9 8 8 8 7 7 7 6 5 4 3 4 5 6 7 9 10 12 14 16 15 13 11 10 11 12 12 12 11 10 10 10 10 10 10 9 9 9 9 10 10 11 12 13 12 10 9 8 6 6 5 5 5 7 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 8 4 -0 -3 -3 -0 2 3 5 7 8 8 8 nan
nan 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 6 -1 -6 -4 -0 5 8 9 9 9 9 11 15 20 22 20 15 12 11 11 10 10 8 8 8 9 8 8 7 8 8 7 8 8 9 10 10 9 9 10 12 13 15 16 16 16 15 13 11 9 9 10 9 8 7 6 6 6 7 7 8 8 8 7 6 5 5 6 6 5 4 3 4 5 6 7 9 9 8 7 7 7 7 7 6 6 5 5 5 7 9 10 10 10 11 13 14 15 14 13 12 11 12 13 12 11 10 9 8 8 9 9 8 7 6 6 7 8 8 8 8 9 10 9 8 9 8 7 6 6 6 7 8 9 10 11 12 11 11 10 10 10 10 11 11 11 11 10 9 8 6 2 -3 -4 -3 0 5 7 7 8 8 9 9 9 nan
nan 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 3 -4 -6 -3 1 6 8 9 9 9 9 10 14 18 22 21 17 13 12 11 10 9 8 8 9 9 9 8 8 7 7 7 8 8 9 10 10 9 10 10 11 11 12 12 10 6 2 1 3 7 11 13 12 11 10 9 8 8 8 8 9 9 9 9 9 9 10 9 7 4 2 1 3 5 7 8 8 7 7 7 7 6 6 6 6 5 6 7 9 11 12 11 10 11 12 13 13 11 11 11 12 13 13 12 11 9 7 6 6 7 7 6 5 4 4 5 6 6 7 7 7 8 7 7 8 8 8 8 8 8 8 9 9 10 11 13 12 11 11 11 10 10 10 10 11 11 11 10 9 5 0 -5 -7 -6 -2 3 6 8 8 9 9 9 9 10 nan
nan 9 8 8 7 7 7 8 8 9 9 10 10 10 9 9 9 9 9 9 9 7 1 -5 -6 -3 2 7 9 9 9 9 9 9 12 17 21 21 18 15 12 10 10 9 9 9 9 9 9 8 8 7 7 7 8 8 9 9 9 9 9 10 10 10 10 8 4 -3 -6 -4 1 8 13 13 13 13 13 12 11 10 10 10 10 10 10 11 11 12 12 12 11 10 8 8 7 7 7 7 6 5 6 6 6 6 5 5 5 6 7 9 10 10 9 7 7 9 11 12 10 8 8 10 11 11 11 10 8 7 6 6 6 7 6 5 6 6 8 9 8 8 8 8 8 7 6 6 7 7 8 9 9 9 10 10 10 10 12 12 12 11 10 10 10 10 10 10 11 11 11 11 10 6 1 -2 -1 1 5 7 8 9 9 9 10 10 10 11 nan
nan 8 7 7 7 7 7 8 8 9 10 10 10 9 9 9 8 9 9 10 10 7 0 -5 -5 -2 3 7 9 9 9 9 9 9 11 15 19 21 19 16 13 11 10 9 9 9 10 9 9 8 8 8 9 8 8 8 8 8 8 8 8 8 9 9 9 6 2 -2 -1 4 10 15 15 13 12 13 14 14 14 14 14 14 14 14 14 15 16 17 18 18 17 15 14 13 11 10 8 6 4 4 5 7 7 7 6 6 6 6 7 8 8 7 7 7 9 11 13 11 9 8 8 9 8 8 6 5 5 6 8 10 10 10 8 9 10 12 13 13 12 11 10 8 7 6 6 7 7 8 9 10 10 10 10 10 10 11 12 11 11 11 10 10 10 10 10 10 11 11 11 12 12 11 11 11 12 12 12 11 10 10 10 10 10 10 11 11 nan
nan 8 7 7 7 8 8 9 9 10 10 10 9 8 8 8 8 9 10 11 10 7 2 -3 -4 -1 4 7 8 9 9 9 9 9 11 13 17 20 20 17 14 12 10 9 9 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 8 6 5 7 12 16 19 19 16 12 11 12 13 13 16 17 18 18 19 20 21 22 23 26 26 24 21 17 15 14 12 11 9 6 5 4 5 7 8 9 9 9 8 7 7 7 8 8 9 12 15 16 15 12 10 9 9 9 8 6 4 4 5 9 12 13 12 10 9 10 11 12 12 12 12 11 9 7 6 6 7 8 9 10 11 11 11 11 11 10 10 11 11 11 12 12 11 10 10 9 10 10 10 11 11 12 13 15 19 22 20 17 14 12 10 10 10 10 10 10 10 11 nan
nan 7 7 8 8 9 9 10 10 10 10 9 9 8 8 8 9 9 10 10 10 8 3 -2 -3 -1 4 7 8 9 9 9 9 9 10 12 16 21 21 19 16 13 10 9 10 10 10 10 9 9 9 9 9 9 9 9 8 7 7 7 7 7 8 8 7 7 9 12 16 19 18 15 12 10 10 10 10 11 13 15 17 19 21 23 24 25 27 28 27 24 20 18 16 15 14 13 12 10 9 8 8 10 12 13 13 12 11 9 8 8 9 10 13 15 16 16 13 11 10 10 9 9 8 7 6 7 10 13 14 12 9 8 8 9 9 9 9 10 10 8 6 5 6 7 9 10 11 12 13 13 12 12 11 10 11 11 11 12 12 12 11 11 10 9 10 10 10 11 12 12 13 16 18 18 16 13 10 9 9 9 9 10 10 10 10 10 nan
nan 7 8 9 9 9 10 10 10 10 10 9 9 8 8 9 9 9 10 10 10 8 3 -3 -4 -1 3 7 8 9 9 9 9 9 10 11 16 23 24 22 18 13 11 10 10 10 10 10 10 10 9 8 8 8 8 8 8 7 8 8 8 8 8 7 7 8 9 11 12 12 11 9 8 8 9 9 9 9 9 10 13 16 18 19 19 21 22 21 20 18 18 18 18 18 19 19 19 18 16 16 18 19 20 19 17 14 11 9 8 8 10 12 14 14 13 11 9 8 8 8 8 8 8 8 8 10 12 12 11 8 6 7 9 9 9 9 9 9 8 7 6 7 9 11 12 13 13 14 14 13 13 12 11 10 10 10 10 11 11 11 11 10 9 10 10 10 10 11 12 12 13 14 13 10 8 6 6 8 9 9 9 10 10 10 10 10 nan
nan 7 8 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 8 1 -4 -4 -1 3 7 8 9 9 9 9 9 10 11 18 25 27 24 19 13 11 10 9 9 10 11 11 10 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 8 6 4 4 5 6 7 7 6 7 9 12 13 13 14 14 15 16 15 14 15 16 17 18 19 20 21 21 20 21 22 24 25 23 20 16 12 9 8 8 9 12 13 14 12 10 7 6 6 6 7 7 8 9 9 10 12 12 11 9 7 8 9 10 11 11 11 11 10 9 9 11 12 14 14 13 14 14 14 14 13 12 11 10 9 9 8 9 10 10 11 11 10 9 10 10 10 11 11 11 12 12 12 10 9 9 8 8 9 10 10 10 10 10 11 11 11 nan
nan 8 8 9 9 8 8 8 9 9 9 9 9 10 10 9 9 9 9 10 10 6 0 -4 -4 -1 3 7 8 8 9 9 9 9 10 14 21 27 28 25 18 12 10 10 9 10 11 11 11 10 10 9 9 9 9 9 8 9 9 9 9 9 9 8 8 9 9 10 9 7 3 -1 -2 -1 2 4 5 6 8 11 13 13 12 12 12 14 14 14 14 15 15 14 15 15 16 15 14 14 15 16 17 17 16 14 11 9 8 8 9 11 13 14 14 11 7 5 5 5 5 6 8 9 10 10 12 13 13 13 11 11 11 12 12 12 13 14 14 14 14 15 16 16 16 15 14 13 13 13 13 13 12 10 9 8 7 7 8 9 10 11 10 10 10 10 10 11 11 11 11 11 11 11 11 13 15 15 14 12 11 11 11 11 11 11 11 11 nan
nan 10 9 9 9 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 5 -1 -4 -5 -2 3 6 8 8 9 9 9 10 12 17 26 30 29 23 15 11 10 9 9 10 11 11 11 10 10 10 9 9 9 8 9 9 9 9 9 9 8 8 9 9 10 10 9 6 0 -4 -5 -4 -1 2 5 7 11 13 13 12 11 11 12 13 14 15 15 14 13 12 11 11 9 7 4 2 1 3 5 6 7 7 7 6 6 8 10 12 12 10 8 4 1 0 1 3 5 6 8 10 11 11 13 15 16 16 16 16 16 15 15 15 16 16 17 17 17 16 16 16 15 14 13 12 12 12 13 13 12 10 9 7 7 8 9 9 10 10 10 10 10 10 10 11 11 12 12 11 11 11 13 16 18 19 17 15 12 12 12 11 11 11 11 11 nan
nan 11 10 10 9 9 8 8 8 8 9 9 10 10 10 10 9 8 8 9 9 4 -1 -5 -5 -2 3 6 7 8 9 9 9 11 15 23 30 30 25 18 12 10 9 9 10 10 10 10 9 9 10 10 9 9 8 9 9 10 10 10 9 9 9 9 9 10 10 10 9 5 -1 -4 -5 -4 -1 3 6 10 14 14 13 12 11 11 12 13 14 15 14 12 10 9 9 7 2 -2 -6 -9 -9 -5 -2 0 2 2 2 2 4 6 9 7 4 0 -4 -7 -7 -5 -2 -1 1 3 6 8 10 12 15 17 17 18 18 18 18 18 17 17 17 17 16 15 14 12 12 12 12 12 12 11 11 12 12 12 11 10 8 8 8 8 9 9 10 10 9 9 9 9 10 11 11 11 11 11 11 11 13 15 17 19 19 17 15 13 12 12 11 11 11 11 nan
nan 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 9 8 8 9 8 5 1 -3 -4 -1 3 5 7 9 9 9 10 13 19 27 30 26 20 14 11 10 10 11 11 11 10 9 8 9 11 10 10 9 9 10 11 11 11 10 10 10 10 10 10 10 9 9 8 3 -2 -4 -4 -3 2 7 11 15 17 15 13 12 11 11 12 13 14 14 12 10 9 8 7 4 0 -3 -6 -6 -3 -2 -1 0 1 -0 -1 -1 2 3 2 -2 -5 -8 -9 -9 -6 -3 -1 -1 -1 -0 2 6 8 11 12 14 15 16 17 17 17 16 16 16 16 15 13 12 10 9 9 10 10 11 11 10 11 11 12 11 11 10 9 8 9 9 9 10 10 10 10 9 9 10 10 10 11 10 10 10 10 11 11 12 15 18 20 19 17 15 13 12 12 12 11 11 nan
nan 9 9 9 10 10 10 9 9 9 9 10 10 9 9 9 8 8 8 8 8 6 3 -1 -2 -1 2 4 7 9 9 10 11 14 21 27 26 20 15 13 11 11 11 12 12 11 10 10 10 12 12 11 11 10 11 12 12 12 11 10 9 9 9 10 10 9 9 9 6 1 -2 -4 -3 1 6 10 15 18 19 16 14 13 12 12 12 13 13 13 11 9 8 8 7 6 6 7 7 8 8 7 6 5 5 4 4 4 4 2 -1 -4 -6 -5 -3 0 3 5 5 4 4 3 4 6 6 6 7 8 12 15 16 14 13 12 12 12 12 11 10 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 14 18 20 20 19 17 14 13 13 12 11 11 nan
nan 8 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 7 7 8 8 4 -0 -3 -2 0 3 6 8 10 10 11 14 21 25 22 18 15 13 11 11 10 11 11 11 11 11 12 13 13 12 11 11 12 13 12 10 6 4 4 5 7 9 9 10 10 9 5 0 -3 -4 -1 4 8 12 16 21 21 18 15 13 12 12 12 13 12 11 10 8 7 8 9 11 13 15 15 15 14 13 12 13 13 12 11 11 9 6 4 2 3 5 7 9 10 11 11 11 11 10 10 8 7 6 7 11 16 17 16 12 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 12 12 11 10 10 10 10 11 11 10 11 10 10 11 11 11 11 11 11 12 12 13 14 16 18 20 20 18 16 14 13 13 12 12 nan
nan 8 9 10 10 11 11 11 10 9 10 10 10 9 9 8 8 8 8 7 8 8 6 1 -2 -3 -2 2 5 8 9 10 11 14 21 23 22 19 16 13 11 10 10 10 10 10 11 11 13 13 13 12 10 10 12 12 10 5 -1 -4 -3 -0 4 9 10 10 10 8 3 -2 -5 -4 1 6 9 13 19 24 22 19 16 13 13 13 13 12 11 10 9 8 7 8 10 12 14 15 14 14 15 16 17 18 17 16 14 12 11 10 10 9 10 11 12 12 13 13 14 15 15 14 12 10 9 10 14 19 21 19 14 10 9 8 9 10 10 10 10 10 10 10 10 9 9 9 10 9 10 10 11 12 13 14 13 12 11 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 13 13 14 14 14 17 19 21 20 19 18 18 17 15 14 nan
nan 9 10 10 10 10 11 11 10 10 11 11 11 10 9 9 9 8 8 7 8 8 7 3 -1 -4 -3 0 4 7 9 10 10 14 19 22 22 20 17 13 12 11 10 9 9 10 11 12 13 14 13 11 10 11 12 12 10 4 -2 -4 -4 -1 6 10 10 9 8 5 -0 -5 -6 -2 4 8 11 15 21 24 21 18 15 13 13 13 12 10 9 9 9 9 9 10 11 12 12 11 11 13 15 17 19 19 19 17 15 14 14 15 14 14 14 14 14 15 17 18 20 21 19 16 13 11 11 13 18 20 20 16 11 9 8 7 9 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 12 13 14 13 12 11 10 10 10 10 10 10 11 11 10 10 10 11 11 11 12 12 13 13 14 14 13 13 15 17 19 22 24 26 26 24 22 20 nan
nan 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 8 8 8 7 5 0 -4 -4 -1 3 7 9 10 10 13 18 21 22 22 18 14 12 11 10 9 10 10 11 12 12 13 13 11 11 11 12 12 12 8 4 3 2 3 8 9 8 5 3 -1 -5 -7 -4 2 7 10 12 15 20 21 19 16 13 12 12 12 11 9 9 9 10 10 10 11 12 11 10 9 10 11 13 15 16 16 15 15 16 17 18 18 17 17 17 18 20 23 25 26 26 25 20 15 12 11 11 14 17 19 19 16 13 11 9 10 11 12 11 11 10 10 10 11 11 11 11 10 10 10 11 11 11 12 12 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 12 13 13 13 12 12 13 14 17 22 26 29 29 28 28 28 nan
nan 9 9 9 9 10 10 10 9 9 10 11 12 12 11 10 10 9 8 8 8 8 8 7 2 -3 -4 -3 1 6 8 10 10 12 16 20 24 23 18 15 13 11 10 10 11 11 11 11 11 11 12 12 12 12 11 12 12 11 10 8 5 5 7 5 3 1 -3 -6 -7 -4 2 7 10 11 12 15 18 18 17 14 12 12 12 11 10 9 9 10 10 11 11 11 11 11 11 10 11 11 11 10 10 10 9 11 13 15 16 16 16 16 18 21 24 27 27 26 25 22 17 13 11 11 13 16 21 24 23 20 17 14 13 13 13 12 11 10 10 10 10 11 11 11 10 10 9 10 10 10 10 11 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 10 11 11 12 12 12 12 11 11 11 14 17 20 21 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
0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 12 13 10 7 8 6 2 3 5 3 1 2 2 1 1 0 1 4 5 9 14 18 22 23 26 36 44 49 54 58 63 66 66 70 70 72 76 80 86 90 91 94 97 105 118 125 130 140 158 175 181 251 322 365 407 452 367 405 361 360 395 385 364 392 382 402 489 642 688 565 421 344 293 282 306 361 398 373 319 276 272 283 302 323 338 348 359 366 380 411 476 555
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