Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 8 7 6 7 8 9 10 10 9 9 8 8 7 7 7 7 6 6 6 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 9 9 8 8 9 9 8 7 7 7 8 8 8 8 8 7 7 7 7 7 8 8 9 8 8 8 8 8 8 9 10 11 11 10 10 10 9 8 6 3 -2 -4 -2 1 4 4 5 5 5 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 6 6 6 7 7 8 9 9 9 9 10 11 11 11 10 8 7 7 7 8 10 11 11 11 11 11 11 11 11 10 9 9 8 7 7 7 8 10 11 13 15 16 18 20 22 23 24 24 23 22 21 20 19 17 15 13 12 nan
nan 8 8 7 7 8 9 9 8 8 8 7 7 7 7 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 7 8 8 8 7 6 6 6 7 8 8 7 7 7 7 7 7 8 8 8 8 8 9 8 8 8 8 9 9 10 10 9 9 9 8 6 3 -2 -6 -5 -1 2 4 5 5 6 6 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 7 7 6 6 6 5 5 6 6 6 7 7 7 8 8 9 10 11 11 9 8 7 7 8 9 9 9 8 8 9 9 9 10 10 10 10 9 9 9 8 7 8 8 9 9 11 13 16 18 20 23 24 25 25 25 24 23 23 21 19 17 nan
nan 8 8 8 8 8 9 8 8 7 7 6 6 6 6 6 6 7 7 8 8 8 8 8 8 9 8 8 7 7 7 7 6 6 7 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 7 5 5 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 8 8 9 8 8 8 8 8 7 4 -1 -6 -7 -4 1 3 5 5 5 4 4 4 4 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 6 6 6 5 5 5 5 5 6 6 6 6 6 7 8 9 10 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 7 7 7 8 10 12 14 17 20 22 23 24 24 25 25 24 23 22 nan
nan 8 8 9 9 8 8 7 7 6 6 6 6 7 7 7 7 8 8 9 9 8 8 8 8 8 7 7 6 5 6 6 6 6 7 6 6 6 6 5 5 6 6 7 7 7 6 6 7 8 7 5 4 5 6 7 7 7 7 7 7 8 8 8 8 9 9 8 7 6 6 7 7 8 8 7 7 6 7 7 7 5 1 -3 -6 -4 -1 2 4 4 3 3 2 3 4 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 9 9 9 9 9 9 8 8 7 7 6 6 6 6 6 7 7 8 8 9 9 9 8 8 8 7 7 7 8 9 10 13 15 17 19 20 21 22 23 23 24 nan
nan 8 9 9 9 8 7 6 6 6 6 7 7 8 8 8 8 9 9 10 9 8 8 8 7 7 6 6 6 6 6 7 7 7 7 6 6 6 7 7 6 6 7 7 7 7 7 6 6 7 6 5 4 4 6 7 7 7 7 7 8 8 8 8 8 8 9 8 7 6 6 7 7 7 8 7 6 6 6 6 7 7 4 1 -2 -4 -3 -1 2 3 3 2 2 2 3 4 5 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 6 6 6 7 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 8 8 7 6 5 5 5 5 5 6 7 7 8 8 8 8 8 7 7 6 6 6 6 7 9 11 12 14 15 17 18 20 21 nan
nan 9 9 9 8 7 6 6 6 7 7 8 8 9 9 8 8 9 9 10 9 8 8 8 8 8 7 7 7 8 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 8 7 7 6 5 4 4 5 6 6 6 7 7 8 8 8 7 7 8 8 8 7 6 6 7 7 7 7 7 7 6 5 6 7 7 6 5 2 -0 -3 -2 -0 1 2 2 1 2 2 3 4 5 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 8 8 8 9 9 9 8 7 6 5 5 5 4 4 5 6 6 7 7 7 7 7 7 7 6 5 5 4 4 5 6 7 9 11 12 13 15 nan
nan 10 9 8 7 6 6 6 7 7 8 8 9 9 9 8 8 9 9 10 9 9 8 8 9 10 10 9 9 10 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 7 8 9 8 7 6 5 4 3 4 5 6 7 7 8 8 8 7 7 8 8 9 8 8 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 5 4 1 -1 -1 -0 1 1 1 1 1 1 2 4 5 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 5 6 6 6 7 7 7 8 8 9 9 8 7 6 5 5 4 5 5 5 6 6 7 7 7 7 7 7 6 5 4 4 4 4 4 5 6 7 8 9 nan
nan 10 8 7 6 6 7 7 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 8 9 10 11 10 10 10 10 11 10 10 11 11 11 10 9 8 9 9 9 8 7 8 9 10 10 8 6 5 5 5 5 6 7 7 7 8 8 8 7 7 8 9 9 9 8 7 7 7 7 7 7 7 7 6 5 5 6 7 7 7 7 6 5 3 1 1 2 1 0 -1 -1 -0 1 3 4 5 6 6 7 7 7 7 7 7 7 7 8 8 7 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 5 5 5 5 6 6 6 7 8 9 8 8 7 6 6 6 5 5 5 6 6 6 6 7 7 7 8 7 7 6 6 5 4 4 4 4 4 5 5 nan
nan 7 6 5 6 7 7 8 8 8 9 9 9 9 8 8 7 7 7 8 9 9 8 7 8 9 9 9 9 8 8 9 9 9 10 11 12 11 9 9 9 10 9 8 7 8 10 11 10 9 7 7 6 7 8 8 8 7 7 8 8 8 7 7 8 9 9 9 8 7 7 6 6 7 7 7 7 6 5 5 6 7 7 7 7 7 6 6 5 5 4 2 -1 -3 -3 -2 0 2 3 5 6 6 7 7 7 7 7 7 7 7 8 7 7 7 7 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 5 6 6 7 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 7 7 6 5 4 4 4 4 nan
nan 5 4 5 6 7 7 7 8 8 8 8 8 7 7 7 6 6 6 7 8 8 8 7 7 7 8 8 8 7 7 7 7 8 9 9 10 9 9 8 9 9 9 8 7 7 9 9 9 9 8 7 7 8 9 9 8 7 8 8 8 8 7 7 8 8 8 8 8 7 7 6 6 7 7 7 6 6 6 5 6 6 7 8 8 7 7 7 7 7 6 4 0 -4 -4 -3 -1 1 2 4 6 6 7 7 7 7 7 7 7 8 8 7 7 7 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 8 8 9 9 9 8 8 7 6 5 5 nan
nan 4 5 6 7 7 7 7 7 7 8 7 7 7 6 6 6 6 6 8 8 9 8 7 7 7 7 7 7 7 7 6 7 8 9 9 8 8 7 7 7 8 8 7 7 7 7 8 8 8 8 7 7 8 8 8 8 7 7 8 9 8 7 7 8 7 7 6 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 8 8 8 7 7 7 7 7 5 2 -1 -3 -3 -3 -1 1 3 5 6 6 6 6 7 7 7 8 8 8 7 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 8 8 9 9 9 9 8 7 7 nan
nan 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 9 9 8 8 7 7 7 7 7 7 7 6 7 7 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 8 8 8 8 8 8 8 7 6 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 7 7 8 7 7 6 5 3 1 -1 -3 -2 -0 2 3 4 5 5 6 6 7 7 7 8 8 7 7 6 6 6 7 7 7 8 8 8 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 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 5 5 5 6 6 7 8 8 9 9 9 8 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 8 9 10 9 8 8 8 8 8 8 7 7 7 7 7 6 7 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 7 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 8 8 7 6 6 6 7 8 8 8 7 7 8 7 6 6 6 6 5 2 -0 -2 -1 0 1 2 3 4 5 6 6 7 7 7 7 7 7 6 6 6 7 7 8 8 8 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 8 8 8 8 8 8 8 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 6 6 6 7 7 8 9 9 nan
nan 9 8 7 7 7 7 7 7 7 6 6 6 7 7 7 7 9 10 10 9 8 7 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 7 6 6 7 9 9 9 8 8 8 7 6 5 6 8 8 8 7 7 7 7 7 6 6 7 7 6 6 4 1 -0 -2 -2 -1 1 3 5 6 6 7 7 7 7 7 6 6 6 6 7 7 8 8 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 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 8 8 8 8 8 7 7 6 6 6 6 6 6 7 8 9 nan
nan 9 9 8 8 8 8 8 7 7 6 6 6 7 7 7 8 10 11 9 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 7 6 6 8 9 10 10 9 9 8 7 5 5 7 8 8 8 8 7 8 8 7 7 6 6 6 6 7 6 5 2 -2 -5 -4 -0 3 4 5 6 7 7 7 7 6 6 6 6 7 7 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 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 7 7 6 6 7 7 8 nan
nan 10 9 9 8 8 8 7 7 7 7 7 7 6 6 7 8 10 10 8 7 7 7 7 7 7 8 8 8 8 8 8 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 9 9 8 8 7 7 7 8 8 8 8 8 7 6 7 8 9 9 9 9 9 8 7 5 6 7 8 8 8 8 8 8 8 7 7 6 6 6 6 7 8 8 5 -1 -5 -5 -2 2 4 5 6 6 7 7 6 6 5 6 6 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 nan
nan 10 10 9 8 7 7 7 7 7 7 7 7 6 6 7 9 10 9 8 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 9 8 8 7 7 7 7 8 8 8 8 8 7 7 8 9 9 8 8 8 8 7 7 6 6 7 7 8 8 8 8 8 8 8 7 6 6 6 6 7 8 8 6 2 -3 -5 -2 2 4 4 5 6 7 7 6 5 5 5 6 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 8 9 9 9 9 nan
nan 9 9 8 7 7 7 7 7 7 7 7 7 6 6 7 10 10 9 8 7 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 7 6 7 7 8 8 8 8 8 8 7 6 7 8 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 7 8 8 8 8 9 8 8 7 7 7 7 6 6 7 7 8 7 4 -0 -3 -1 3 4 5 5 6 7 6 5 4 5 5 6 6 7 7 7 7 7 7 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 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 10 10 10 9 9 9 10 10 10 10 nan
nan 8 8 8 7 7 7 8 8 8 7 7 7 7 7 8 10 11 10 8 8 7 7 7 7 7 8 8 8 9 8 7 7 7 7 7 8 8 8 8 8 7 6 6 6 7 7 8 8 8 8 7 6 6 8 9 9 8 7 7 7 7 8 8 8 9 8 8 8 8 8 8 8 8 8 7 6 5 5 5 6 7 8 8 9 9 9 8 8 7 7 7 7 7 7 7 8 8 7 6 3 1 2 3 4 5 7 8 7 5 4 3 4 4 6 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 11 11 11 12 12 12 13 12 12 11 10 10 10 10 9 9 10 10 10 11 nan
nan 7 8 8 8 8 8 8 8 8 8 8 8 7 8 9 11 11 9 9 8 8 7 7 7 7 8 8 9 9 9 8 8 7 7 7 7 8 8 8 8 7 7 6 5 6 6 7 8 8 7 7 6 7 8 8 8 7 7 7 7 7 8 8 8 9 9 8 8 8 7 8 8 8 8 7 6 5 5 5 6 8 8 8 9 9 8 8 8 8 7 7 7 7 7 8 8 8 7 6 5 5 5 4 5 7 10 10 8 5 3 2 2 4 6 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 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 11 11 11 12 12 13 12 12 11 11 10 10 10 9 9 8 8 9 10 nan
nan 8 9 8 8 8 8 7 7 8 8 8 8 8 8 9 11 10 9 8 8 8 8 7 7 7 7 8 9 10 10 9 8 8 7 7 8 8 8 8 8 7 6 6 5 5 6 6 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 7 6 5 5 6 7 8 8 9 9 8 8 7 7 7 7 7 7 7 8 8 9 8 7 6 6 6 6 6 7 9 11 11 8 4 1 -1 1 4 5 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 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 10 10 11 12 12 11 11 10 9 9 9 8 8 7 6 7 8 nan
nan 9 9 9 9 8 7 7 7 7 8 8 8 8 8 9 11 10 9 8 8 8 8 8 7 7 7 8 9 9 9 9 8 8 8 8 8 9 9 9 7 7 6 6 6 6 6 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 5 5 5 6 7 8 8 9 9 8 7 7 7 7 7 7 7 7 8 9 8 8 7 6 6 7 7 7 8 9 10 10 7 3 -1 -2 1 3 4 5 6 6 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 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 11 11 11 10 8 8 7 7 7 7 6 5 6 6 nan
nan 10 10 10 9 8 7 7 7 7 7 7 7 8 9 10 11 10 9 9 8 8 8 8 8 8 7 8 8 8 9 9 8 8 8 8 8 9 9 9 8 7 7 8 8 7 7 7 7 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 5 5 6 7 8 8 9 10 9 9 8 8 7 7 7 7 7 8 8 9 8 7 6 6 7 7 8 8 8 8 8 8 7 3 -0 -0 2 4 4 4 5 6 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 8 8 8 8 7 7 7 7 7 7 7 7 8 9 10 10 10 9 8 7 6 6 5 6 5 6 6 6 nan
nan 10 10 10 9 8 8 7 7 7 6 7 7 8 10 11 11 10 9 9 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 10 10 10 9 9 8 8 7 7 8 9 9 9 10 10 10 10 9 9 9 10 10 9 9 8 8 8 7 7 7 6 7 7 8 8 7 6 5 5 6 7 8 9 9 9 9 9 8 8 7 7 7 7 8 8 9 8 8 7 6 7 7 8 8 8 8 8 8 7 6 5 3 4 5 4 4 4 5 6 6 7 7 8 8 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 9 9 9 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 7 8 9 10 10 9 8 7 6 6 5 5 5 6 6 7 nan
nan 9 10 9 9 8 8 8 7 7 6 7 7 9 10 10 10 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 6 7 9 11 11 11 9 8 7 7 7 7 8 9 10 10 10 10 9 9 9 10 10 10 10 9 9 9 8 8 7 6 6 6 8 8 8 7 6 5 5 6 8 9 9 9 9 8 8 7 7 7 7 8 8 9 9 8 8 7 7 7 7 8 8 8 8 8 7 7 7 6 6 7 7 7 5 5 4 5 5 6 7 8 8 8 8 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 9 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 9 10 10 10 10 9 8 7 6 6 6 6 6 7 nan
nan 9 10 9 9 9 8 8 7 7 7 7 8 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 8 6 6 7 9 11 11 9 8 7 7 7 7 8 9 10 10 10 9 9 9 9 10 10 10 10 10 11 10 10 8 7 6 6 7 8 9 8 7 5 5 6 7 9 9 9 9 8 8 8 7 7 7 8 8 9 9 9 8 7 6 6 7 8 8 8 8 8 8 7 7 7 6 7 8 8 8 7 6 5 5 5 6 7 8 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 8 9 9 10 10 10 10 9 8 8 7 7 7 7 nan
nan 9 10 9 9 9 9 8 7 7 7 8 8 8 7 7 8 9 8 8 8 7 7 7 7 7 7 8 8 8 9 10 10 11 10 10 9 7 6 6 7 9 10 9 8 7 6 7 8 9 9 9 9 9 8 8 8 9 10 10 10 11 11 11 11 10 9 8 8 8 8 8 8 7 6 5 5 6 8 9 9 9 8 8 8 7 7 7 7 8 8 9 9 9 8 7 6 7 7 8 8 8 8 8 7 7 7 6 7 8 8 8 8 8 8 7 6 6 6 8 10 11 11 9 8 6 6 6 7 8 8 8 8 8 8 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 8 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 9 9 10 9 9 9 8 8 7 7 nan
nan 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 6 7 7 8 8 8 8 8 10 11 11 11 11 10 8 7 6 6 7 9 9 7 7 6 7 7 9 9 8 8 7 7 7 8 9 10 10 11 11 11 10 9 9 9 9 9 9 9 8 7 7 7 6 6 7 8 9 9 8 8 8 7 7 6 6 7 7 8 9 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 6 7 8 8 8 8 8 8 7 7 7 8 10 13 14 13 10 6 4 4 6 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 nan
nan 10 10 10 9 10 10 9 9 9 9 8 8 7 7 7 8 7 7 6 6 6 6 6 7 8 8 8 8 8 8 9 10 11 11 12 11 10 8 7 7 7 8 8 7 7 6 7 7 8 8 8 8 7 7 8 9 10 11 11 11 10 10 9 8 9 9 10 10 10 9 7 6 6 6 6 6 8 9 9 9 8 8 7 7 7 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 10 12 14 14 11 6 0 -1 3 6 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 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 8 8 8 8 8 8 nan
nan 10 10 10 9 10 10 9 9 9 9 9 8 8 8 8 8 8 7 7 6 6 6 6 7 8 8 8 7 8 8 8 9 10 11 12 11 10 10 9 8 8 8 9 8 7 7 7 7 8 8 8 8 8 8 9 10 11 11 10 9 8 8 8 9 10 11 11 11 11 9 6 5 5 5 6 7 10 10 9 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 9 9 10 11 9 4 -3 -9 -5 2 6 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 6 7 7 7 7 8 8 8 nan
nan 10 10 10 9 9 9 9 9 10 9 9 8 8 8 8 8 8 9 9 8 6 6 6 7 7 8 7 7 8 8 8 8 9 10 10 11 10 10 10 10 9 10 10 9 8 8 7 7 7 8 9 9 9 10 11 11 11 10 9 7 7 8 8 10 11 11 11 11 10 8 6 4 4 5 7 9 10 10 9 8 8 7 7 7 7 8 9 9 9 7 6 6 7 7 7 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 4 -3 -10 -11 -4 3 7 8 8 8 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 9 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 nan
nan 10 10 9 9 8 8 9 9 10 9 8 8 8 8 8 7 8 9 10 9 7 6 6 6 6 7 7 7 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 8 7 7 7 8 9 9 9 9 10 10 10 9 7 7 8 8 9 9 10 11 10 8 6 4 3 3 5 8 10 10 9 8 8 7 7 7 7 6 7 9 10 10 9 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 7 7 8 7 7 7 5 1 -6 -10 -6 2 7 10 9 8 8 8 7 7 7 6 6 6 6 6 6 7 7 7 7 8 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 7 7 7 7 7 7 nan
nan 10 9 9 8 8 9 9 9 9 9 9 8 8 8 7 7 8 9 10 10 9 7 6 6 6 6 7 7 8 8 8 8 9 8 8 8 9 10 10 10 10 10 10 10 10 9 8 7 7 8 8 8 7 8 9 10 10 9 9 9 9 9 9 9 9 9 7 5 2 1 2 5 10 13 14 12 9 7 6 6 7 7 7 7 8 9 10 10 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 9 8 8 8 8 8 7 7 7 7 6 6 4 -0 -5 -5 2 10 14 13 11 9 8 8 7 7 6 6 6 5 5 6 6 7 7 7 8 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 7 7 7 7 7 7 7 nan
nan 10 10 9 8 9 9 9 9 9 9 9 9 8 8 7 7 8 9 10 10 9 8 7 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 6 7 9 10 11 11 10 9 8 8 8 8 7 5 3 1 2 5 10 15 17 15 12 8 6 5 6 7 7 8 8 8 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 8 7 7 6 6 5 4 1 0 5 13 19 18 15 12 10 9 8 7 6 5 5 5 5 5 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 7 7 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 nan
nan 10 9 9 8 9 9 9 9 9 9 9 8 8 8 7 7 8 9 10 10 9 8 8 7 6 6 6 7 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 9 9 10 9 8 7 6 7 7 6 6 8 9 10 10 10 9 8 8 7 7 6 5 3 3 6 10 14 16 16 13 10 8 7 7 8 8 8 8 8 8 8 7 8 8 9 8 7 6 7 7 8 7 8 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 6 6 5 6 6 7 9 15 20 21 18 14 12 10 8 6 5 4 5 5 5 5 5 6 7 7 8 8 8 8 9 8 8 8 8 8 8 8 8 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 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 8 8 9 9 9 9 8 7 7 7 7 7 8 8 7 7 7 7 8 9 8 7 7 8 8 8 7 7 9 10 10 10 8 7 7 9 9 7 6 6 7 7 8 9 9 9 8 7 7 6 5 4 6 9 12 13 13 11 9 7 8 8 9 10 9 8 7 7 7 7 7 7 8 8 7 6 6 7 8 8 8 8 9 10 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 7 6 5 6 8 10 12 15 16 15 13 12 11 8 5 2 2 3 4 4 4 5 5 6 7 8 8 8 8 8 8 8 8 8 8 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 9 8 9 9 9 9 9 9 nan
nan 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 7 7 7 7 7 7 8 8 7 7 8 8 8 8 7 7 8 8 8 7 7 9 10 10 10 9 8 9 11 11 10 8 6 4 4 5 7 8 8 7 6 6 6 5 5 7 9 11 11 9 7 6 7 9 10 10 10 9 8 7 7 7 8 8 8 8 7 6 6 6 7 8 8 8 9 9 9 9 9 8 8 9 9 9 8 9 9 9 9 9 9 8 7 6 6 6 8 9 10 10 10 9 9 9 8 5 1 -2 -0 2 3 4 4 5 6 7 7 8 8 8 8 8 8 8 8 8 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 10 10 10 nan
nan 8 8 8 8 9 9 8 8 8 8 9 9 9 9 8 8 8 9 8 8 8 8 8 8 7 7 6 7 7 8 8 8 8 8 8 9 8 7 7 8 9 9 8 8 8 9 9 9 9 9 10 12 13 12 10 7 3 1 3 6 7 7 6 6 6 5 5 6 8 10 10 9 7 6 7 9 11 11 10 10 9 8 7 7 8 8 8 8 7 6 5 5 6 7 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 6 7 8 9 9 8 6 5 3 2 1 -2 -6 -6 -2 1 3 4 5 5 6 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 nan
nan 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 9 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 8 7 8 9 10 9 8 7 7 7 8 9 10 11 12 12 12 11 9 6 4 5 7 8 8 7 6 6 6 6 6 8 9 9 9 8 7 8 9 10 10 9 9 9 8 7 7 8 8 8 8 7 6 5 6 7 7 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 9 8 6 3 -1 -4 -6 -7 -9 -12 -8 -2 2 4 4 5 6 6 7 7 8 8 8 8 8 7 7 7 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 nan
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nan 9 9 8 8 8 8 8 8 8 8 8 8 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 9 8 7 7 7 7 8 8 8 8 8 7 6 5 6 6 7 8 9 9 9 9 9 9 9 8 8 8 8 9 9 11 12 13 12 10 10 9 8 8 10 11 11 11 11 11 10 9 9 9 10 10 10 10 9 9 9 9 10 11 11 12 15 17 19 19 17 15 13 10 9 9 9 10 10 10 10 9 8 8 9 11 16 19 22 24 24 23 22 20 18 18 17 15 14 12 11 10 10 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 10 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 10 10 10 10 10 10 10 10 10 9 7 7 7 7 7 7 8 8 8 7 6 5 5 6 7 7 8 8 7 6 6 6 6 7 7 7 7 7 7 7 8 9 9 8 8 7 7 8 10 12 12 11 10 10 10 10 10 9 9 9 9 9 8 7 7 7 9 9 10 11 14 17 20 20 17 14 12 10 8 7 7 8 9 10 10 9 9 9 12 15 20 23 25 26 27 27 26 27 28 28 27 25 22 18 15 12 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 nan
nan 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 9 9 9 9 9 10 10 10 10 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 7 7 8 9 9 9 8 6 6 6 6 7 8 8 7 5 4 3 4 5 6 6 6 6 6 6 7 7 7 7 6 5 6 7 10 12 12 12 11 10 10 10 10 10 9 9 9 9 8 7 6 7 9 10 11 12 13 15 16 16 14 12 11 10 9 8 8 8 8 9 8 8 8 8 9 11 14 17 19 19 18 15 14 16 19 23 26 27 27 23 19 15 13 13 13 12 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 8 8 8 9 10 10 9 8 6 5 5 6 8 8 7 5 4 3 4 6 7 8 7 6 6 7 9 9 9 9 7 6 6 7 9 10 11 11 11 11 11 10 10 10 10 11 11 11 10 9 8 9 11 13 14 14 14 14 14 13 12 10 9 8 8 8 8 9 9 9 8 7 7 8 9 9 10 11 12 12 11 9 5 3 2 3 5 9 11 12 11 10 12 16 18 16 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 nan
nan 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 9 10 10 10 10 8 6 4 4 5 7 8 8 6 6 7 8 10 12 12 10 8 7 8 10 11 11 10 10 9 9 10 11 11 11 11 10 10 10 10 10 10 10 11 12 12 11 11 10 11 13 16 17 17 16 15 14 13 11 9 8 7 7 7 7 8 9 9 8 8 7 7 9 10 11 11 11 11 11 10 10 10 8 5 1 -1 -2 -2 -3 -1 3 8 13 14 12 11 12 12 12 12 12 12 12 12 12 11 11 12 12 12 12 12 12 12 13 12 12 12 nan
nan 8 8 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 10 11 10 10 9 8 6 4 3 4 6 9 9 8 8 9 11 13 14 14 12 10 9 8 9 10 10 10 10 11 12 13 14 13 12 11 11 10 10 10 10 10 9 10 10 11 11 11 11 12 13 15 17 18 17 15 13 11 9 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 11 12 12 12 12 14 16 19 20 20 16 13 10 7 5 7 11 13 14 11 12 13 15 15 14 14 14 13 13 12 12 12 14 15 16 15 14 14 14 14 13 13 13 13 nan
nan 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 10 10 9 7 4 3 3 3 2 4 6 8 9 9 9 10 11 12 12 12 10 9 8 8 9 9 10 10 10 11 12 14 15 14 13 12 11 10 10 10 10 10 10 10 10 10 11 11 11 12 13 14 15 15 14 13 10 8 6 5 5 6 7 8 8 8 8 7 7 8 9 9 9 8 8 8 9 10 12 13 13 14 16 19 22 26 29 29 28 26 27 28 30 29 26 22 23 23 23 22 20 18 16 15 13 13 14 17 22 24 22 18 15 14 14 14 13 13 13 13 nan
nan 7 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 11 10 10 10 10 9 9 9 9 8 7 4 -0 -5 -6 -5 -2 -0 1 3 5 7 7 8 10 11 11 10 9 8 7 6 7 8 9 10 10 10 10 11 12 12 13 12 11 11 10 10 10 10 10 10 10 10 10 11 11 12 13 13 14 14 12 11 9 7 5 4 4 5 6 7 9 10 10 9 9 8 8 9 10 10 10 10 9 9 9 10 12 13 13 13 13 15 17 21 25 28 30 30 32 34 35 34 31 31 31 31 30 30 28 25 22 20 19 18 19 23 26 26 23 18 15 13 13 13 13 13 13 13 nan
nan 8 8 8 8 8 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 11 10 9 8 7 8 10 12 13 13 13 12 12 11 11 11 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 11 10 9 6 2 -2 -7 -12 -14 -12 -8 -4 -2 -2 -1 0 2 5 8 10 11 9 9 8 6 6 6 8 9 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 11 8 6 5 5 4 5 6 8 9 10 10 10 10 10 10 9 10 11 11 11 11 12 12 12 12 11 12 12 13 13 13 13 13 14 16 18 20 21 22 23 22 22 22 23 24 26 27 29 29 28 27 27 28 27 26 24 21 18 17 17 17 16 15 15 14 13 13 13 nan
nan 8 9 9 9 9 9 9 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 10 8 5 1 -0 1 5 11 13 13 14 14 14 13 12 11 11 11 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 9 4 -2 -7 -11 -13 -13 -10 -6 -2 0 -0 -2 -2 -1 2 5 7 8 7 5 6 5 5 5 7 9 11 12 12 11 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 10 11 12 13 13 13 12 11 9 7 5 4 4 5 6 8 9 10 10 11 10 10 10 10 10 10 11 11 11 11 11 12 13 14 14 14 13 13 14 14 14 13 12 12 11 11 11 12 12 12 11 11 11 12 13 15 17 19 20 23 26 29 31 31 28 24 20 17 19 22 24 24 22 19 16 14 12 12 nan
nan 9 10 10 10 10 9 9 8 8 8 8 9 9 10 10 10 11 11 11 11 11 10 9 4 -2 -7 -7 -2 6 11 13 14 16 17 15 14 13 12 12 11 10 10 10 10 9 9 9 10 10 10 10 10 10 11 10 10 10 10 10 10 9 5 -1 -6 -9 -9 -7 -5 -1 2 5 5 4 3 3 4 5 5 5 3 -1 -2 -1 0 2 5 8 10 10 10 9 9 9 10 11 12 12 11 11 10 10 9 9 9 9 9 10 11 12 13 13 12 11 9 6 4 3 2 2 3 6 9 11 11 11 10 10 10 10 10 9 9 10 10 10 10 10 11 12 12 13 15 16 16 16 15 14 13 12 11 10 9 9 8 8 8 8 7 8 8 9 9 10 10 11 12 15 19 22 24 25 26 26 24 22 22 22 22 21 19 16 12 11 10 9 nan
nan 9 10 10 10 10 10 9 8 8 8 8 8 9 9 9 10 10 11 10 10 10 9 6 -0 -7 -9 -6 1 8 11 13 15 17 17 15 14 14 13 12 11 11 11 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 10 10 10 7 4 0 -2 -1 1 2 4 6 7 8 7 7 6 7 7 6 5 3 -1 -5 -6 -5 -3 -0 3 6 7 7 6 6 7 8 9 10 11 11 10 10 9 8 8 8 9 10 11 12 13 13 12 10 8 6 4 2 2 2 3 4 6 9 11 11 10 9 10 10 10 9 9 9 9 10 10 10 10 11 10 11 11 13 15 16 17 17 14 12 10 9 8 7 7 7 7 8 8 7 7 8 8 9 9 10 10 10 10 12 13 14 15 17 19 21 21 18 12 7 4 3 4 4 5 6 7 7 nan
nan 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 10 10 9 9 9 8 3 -4 -9 -7 -2 5 9 10 11 13 16 17 18 18 17 15 12 11 11 11 11 11 10 10 10 10 9 9 9 10 11 11 11 11 11 11 11 10 8 7 7 8 10 11 12 13 13 13 11 8 7 6 6 7 6 5 4 1 -1 -1 -1 -1 -0 1 2 2 3 5 7 8 8 8 8 7 6 7 7 8 8 9 10 11 12 13 13 12 10 8 4 2 1 1 2 4 5 7 9 11 13 12 10 8 7 8 9 10 9 9 9 10 10 10 10 10 10 10 10 11 13 14 15 15 14 11 9 8 7 6 6 6 6 7 8 8 9 9 9 9 10 10 10 11 11 11 11 12 12 12 12 13 13 12 7 1 -4 -7 -6 -3 -1 2 5 6 7 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 9 8 6 0 -7 -9 -4 2 7 9 10 10 11 14 18 21 23 21 16 12 12 12 12 12 11 10 10 10 9 9 9 9 10 9 9 10 11 11 11 10 10 10 11 12 15 17 18 19 19 18 16 12 9 7 7 7 7 6 6 6 5 5 6 6 5 4 3 1 1 3 5 7 7 7 6 5 4 4 5 6 7 8 10 11 12 12 12 11 9 7 4 2 1 1 3 5 7 10 11 13 14 14 12 9 7 7 8 9 10 10 10 10 11 11 11 10 9 9 9 9 10 11 11 12 12 11 10 9 8 7 6 6 6 7 8 9 9 10 11 11 11 11 11 11 11 11 11 12 12 11 10 10 10 9 5 0 -2 -3 -1 -0 1 3 5 6 7 8 nan
nan 10 10 9 8 8 8 9 9 9 9 9 9 9 8 9 9 9 8 8 9 8 5 -3 -9 -7 -2 3 8 9 10 10 10 12 18 23 26 23 17 13 13 12 12 11 10 10 10 10 10 9 9 9 9 8 9 9 10 11 11 10 10 10 12 13 14 16 16 15 14 12 10 9 10 11 10 9 8 7 7 7 8 8 9 10 10 9 8 7 6 6 6 4 2 1 2 2 3 5 6 7 8 10 11 12 12 11 10 9 7 5 4 5 6 7 8 10 11 13 14 13 13 12 10 9 8 8 9 9 9 9 9 10 10 10 8 7 6 7 8 9 9 9 9 10 10 9 9 9 8 7 7 7 7 8 9 10 11 12 13 13 12 12 11 11 11 10 11 11 11 9 8 8 6 2 -2 -4 -3 0 3 5 6 6 7 7 8 9 nan
nan 10 10 9 8 8 8 9 9 10 10 10 9 9 8 8 9 9 8 9 9 8 3 -6 -9 -6 -1 4 8 9 10 10 10 11 16 22 26 25 19 15 13 12 11 10 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 12 11 9 4 0 0 2 7 11 14 13 12 11 10 9 9 9 10 11 11 12 12 12 11 11 9 7 3 -0 -2 -0 1 4 6 8 8 10 11 11 11 10 9 8 7 6 6 8 9 10 10 10 10 12 12 12 10 9 9 10 10 10 11 10 10 9 8 8 8 8 7 5 5 5 6 7 7 7 7 8 9 8 7 7 7 7 8 9 9 9 10 11 11 13 14 14 13 12 12 11 11 10 10 10 10 10 9 8 5 0 -5 -7 -6 -2 3 5 7 7 7 8 9 9 10 nan
nan 10 9 8 8 8 9 9 10 10 10 10 9 9 8 8 8 9 9 10 10 7 -0 -7 -8 -5 -0 5 9 9 9 10 10 10 14 20 25 25 21 17 14 11 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 7 2 -5 -8 -4 2 8 13 14 14 14 14 13 12 11 11 11 11 12 13 13 13 13 13 12 9 7 5 4 3 3 4 6 7 9 10 11 10 8 7 7 6 5 6 7 8 8 7 6 7 8 10 10 8 7 7 8 9 9 10 11 11 10 9 8 8 8 8 7 7 7 8 9 8 8 7 7 8 7 6 6 6 6 7 9 10 10 11 12 12 12 13 13 13 12 11 10 10 10 10 10 10 10 10 10 9 5 1 -2 -1 1 5 7 8 9 9 9 9 9 10 10 nan
nan 9 8 8 9 9 9 10 10 10 9 9 9 8 8 8 8 9 10 11 10 7 -1 -6 -7 -4 1 6 8 9 9 10 10 10 13 18 22 25 23 18 14 11 10 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 9 8 5 -1 -4 -2 4 11 16 16 14 14 14 15 15 15 14 14 14 14 14 15 16 16 17 17 16 14 12 10 10 9 8 7 7 8 9 10 9 8 6 5 5 4 4 5 6 6 5 5 5 7 9 10 9 7 7 7 7 7 7 8 9 9 9 10 11 12 11 10 10 11 12 13 12 11 9 8 8 7 6 5 6 6 7 9 11 11 12 12 12 12 12 12 11 11 11 10 10 9 9 10 10 10 11 11 11 11 10 10 11 13 13 13 11 10 10 10 10 10 10 10 11 nan
nan 8 8 9 10 10 10 10 9 9 9 9 8 8 7 8 8 9 10 11 10 7 1 -4 -5 -3 2 6 8 9 9 10 10 10 12 15 20 24 23 19 15 12 10 9 9 10 11 11 10 10 10 11 10 10 9 9 9 9 9 8 8 7 8 8 7 5 3 6 11 16 20 20 17 14 13 13 13 14 16 17 17 17 18 19 20 21 22 24 23 20 16 14 13 13 14 13 13 12 10 9 8 7 7 7 7 6 5 6 6 6 6 6 8 11 13 14 13 11 10 9 9 9 8 7 7 7 8 11 13 14 14 12 11 11 11 11 11 10 10 8 7 6 5 5 6 7 8 10 12 12 12 12 12 11 11 11 10 11 11 11 11 10 10 9 9 10 10 11 11 11 12 15 19 22 21 18 14 11 10 10 10 10 10 10 10 10 nan
nan 9 9 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 10 10 10 8 3 -3 -5 -3 2 6 8 9 9 9 9 10 11 13 17 23 24 21 17 13 10 9 9 10 11 11 11 11 10 10 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 11 16 18 18 16 13 12 11 10 10 10 12 14 16 18 20 21 22 23 25 25 22 20 17 17 18 18 19 20 19 18 15 12 10 9 11 11 11 10 9 9 9 9 9 11 13 15 16 14 12 11 11 11 11 10 10 10 9 10 12 14 14 13 11 9 9 8 7 6 7 7 7 6 5 4 5 7 9 10 11 12 13 13 13 12 12 11 10 10 10 11 12 12 11 10 9 9 9 10 10 11 11 12 13 16 18 18 15 12 9 8 9 9 9 10 10 10 10 10 nan
nan 9 9 10 10 10 10 10 9 9 9 9 9 8 9 9 9 9 10 10 10 8 2 -4 -6 -4 1 6 8 9 9 9 9 9 10 11 17 25 27 24 19 13 10 10 10 10 10 11 11 10 9 8 8 8 8 9 8 8 8 8 8 7 7 7 7 7 9 10 12 12 11 9 8 8 7 7 7 7 8 10 12 14 16 17 18 18 19 18 17 17 18 20 22 24 25 26 25 23 20 18 18 19 19 18 15 12 11 10 10 10 11 13 14 13 12 9 8 9 10 10 10 11 11 11 11 12 14 13 11 9 7 8 8 8 7 6 6 6 6 6 6 7 9 11 12 13 13 14 14 13 13 12 11 10 10 9 9 11 11 11 11 10 9 9 10 10 10 11 11 12 13 14 13 9 6 5 5 7 9 9 10 10 10 10 10 11 nan
nan 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 8 1 -4 -5 -3 1 6 8 9 9 9 9 9 10 12 19 27 28 25 19 12 10 10 10 10 11 11 11 10 9 8 8 8 9 9 9 8 8 8 8 8 8 7 7 8 8 9 9 7 5 2 2 2 3 5 5 6 8 9 11 12 13 13 13 13 13 13 13 15 17 19 21 23 25 26 25 23 22 22 23 24 22 19 14 11 10 10 10 11 12 12 11 9 7 5 6 7 8 9 9 10 11 11 12 13 13 11 9 7 7 8 9 9 9 9 9 8 8 9 11 13 14 14 14 14 14 14 13 13 12 11 10 9 9 8 9 10 10 11 10 10 10 10 10 10 10 10 11 12 12 12 9 8 7 7 8 10 10 10 11 11 11 11 11 11 nan
nan 8 8 9 9 9 8 8 8 9 9 10 10 10 10 9 8 8 9 9 10 7 0 -4 -5 -3 1 5 8 9 9 9 9 9 10 14 22 28 29 24 16 10 10 10 10 11 12 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 8 5 -1 -5 -5 -3 1 4 6 8 9 11 12 12 12 11 11 11 12 12 14 15 15 16 17 19 20 19 18 16 16 16 17 17 15 13 10 9 9 10 10 11 11 11 10 8 5 5 6 7 8 8 9 10 10 11 12 13 13 12 10 10 10 10 10 11 11 12 13 13 14 15 16 17 17 15 14 13 13 12 12 12 12 11 10 9 8 8 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 11 12 14 14 14 12 11 12 12 12 12 11 11 11 nan
nan 8 8 9 9 9 8 8 8 9 9 10 10 10 10 9 9 8 8 9 9 5 -1 -4 -6 -4 1 5 7 8 9 9 9 10 12 18 26 29 28 21 13 10 10 10 10 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 3 -5 -8 -7 -3 1 5 7 9 11 13 13 12 11 11 11 12 13 15 16 15 15 15 15 16 14 11 7 4 3 4 5 6 7 6 6 7 8 9 10 10 9 8 7 4 2 2 3 5 6 7 8 9 10 11 12 13 14 14 14 14 14 14 13 14 14 15 16 17 17 17 17 16 16 15 14 12 11 11 12 12 12 11 9 9 8 8 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 11 12 15 17 18 17 14 13 13 13 12 12 12 11 11 nan
nan 10 9 9 9 9 8 9 9 9 9 10 10 10 10 9 9 8 7 8 8 4 -1 -5 -6 -3 2 5 7 8 9 9 9 11 15 23 29 29 24 17 12 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 5 -0 -6 -7 -5 -1 3 5 8 11 13 14 13 12 11 11 13 14 16 17 16 15 14 14 15 13 8 2 -3 -7 -6 -3 -1 1 2 2 2 3 4 6 7 6 4 1 -2 -5 -6 -5 -2 -1 -0 1 4 7 9 11 13 15 16 16 16 16 17 16 16 17 17 17 17 16 15 13 12 12 12 12 12 11 11 11 12 12 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 11 12 14 15 18 18 16 15 14 13 13 13 12 12 11 nan
nan 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 8 7 8 8 8 4 1 -2 -3 -1 2 4 6 8 9 9 10 13 18 26 29 25 19 14 11 10 10 11 12 11 10 9 9 10 11 11 10 10 10 10 10 10 10 9 8 7 6 6 6 6 6 6 4 -2 -5 -4 -2 1 5 8 11 14 16 15 13 12 12 13 15 17 17 17 15 14 13 13 13 9 4 -0 -4 -4 -2 0 1 1 1 -0 -1 -1 1 1 0 -2 -4 -6 -7 -8 -6 -4 -3 -4 -4 -3 -0 4 7 10 12 13 14 15 16 17 17 16 16 16 16 15 14 12 11 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 11 11 14 17 19 18 17 15 14 13 13 13 13 12 nan
nan 9 9 9 10 10 10 9 9 9 9 10 10 10 9 8 8 8 8 8 8 7 4 1 -1 -1 1 3 6 8 9 9 11 14 20 26 25 21 16 13 11 11 12 13 13 11 11 10 10 11 11 11 11 10 11 11 10 10 9 7 5 4 4 4 4 5 6 7 3 -2 -4 -3 -0 4 7 10 14 17 18 16 15 14 15 16 16 17 16 14 12 12 12 12 12 9 8 7 8 9 9 8 6 5 4 3 2 2 1 1 -1 -3 -4 -4 -2 0 3 5 4 3 2 2 3 5 6 6 6 7 11 14 15 15 13 12 12 12 12 11 11 10 9 8 9 9 10 10 10 10 10 10 11 11 12 11 11 11 11 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 11 14 17 18 20 19 17 15 14 14 13 13 13 nan
nan 9 9 10 10 10 10 10 9 9 10 10 10 10 9 8 8 8 8 8 8 8 6 2 -1 -1 0 2 5 8 9 10 11 14 20 24 23 19 16 13 11 11 12 12 11 11 11 11 12 12 12 11 10 10 11 11 10 7 3 0 -1 -1 1 3 5 6 7 8 3 -1 -3 -3 2 6 8 11 15 20 21 19 17 16 16 16 16 15 13 12 11 11 11 11 11 12 13 15 16 15 14 13 11 10 10 9 8 7 7 6 5 4 5 6 8 10 11 11 11 11 11 11 10 9 7 5 6 9 14 16 15 13 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 11 12 12 12 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 12 13 15 17 19 20 18 17 15 15 15 14 14 nan
nan 10 10 10 10 10 10 10 10 9 10 11 11 10 9 8 9 8 8 8 8 8 7 4 0 -1 -1 2 5 7 9 10 11 14 19 22 22 20 17 13 11 10 10 10 10 10 11 12 12 12 11 10 8 9 10 9 7 3 -3 -6 -6 -3 1 5 7 8 9 8 3 -2 -4 -1 4 7 9 12 18 24 24 22 19 17 16 15 13 12 11 10 10 10 10 10 11 12 14 15 15 15 15 14 14 14 13 12 11 11 12 12 11 11 12 12 13 13 13 14 15 16 16 15 14 11 10 10 13 18 19 17 13 11 9 8 9 10 11 11 11 10 10 10 9 9 9 9 10 10 10 11 12 13 14 14 14 13 12 11 11 10 10 11 11 12 12 11 11 11 11 12 12 13 13 13 13 13 13 13 16 19 20 20 20 20 20 20 18 17 nan
nan 10 10 10 9 9 9 10 10 10 11 11 11 11 10 9 9 9 9 8 8 9 7 5 2 -1 -1 1 4 7 8 9 10 13 18 21 21 20 17 13 11 10 10 9 9 10 11 11 12 12 11 10 8 8 9 9 8 3 -3 -4 -4 -1 4 8 9 9 9 6 1 -4 -4 1 5 8 10 13 21 25 24 21 18 15 13 12 11 11 10 10 10 10 10 10 11 12 12 11 11 12 13 13 14 15 15 15 15 16 17 17 16 15 15 15 15 16 18 19 21 22 20 17 14 12 12 14 17 19 18 15 11 9 7 7 9 11 12 12 11 10 10 10 10 10 10 10 10 10 11 12 13 14 15 15 13 12 11 10 10 10 10 11 11 11 11 11 11 11 12 12 13 13 14 14 14 13 13 14 15 18 20 23 26 28 28 27 25 23 nan
nan 10 9 9 9 9 9 9 10 10 11 11 12 11 10 10 9 9 9 9 8 8 8 6 3 -0 -1 0 3 6 8 9 10 12 17 20 22 21 17 13 11 9 9 9 9 10 10 11 11 11 11 10 9 10 11 12 11 7 4 3 3 4 7 9 8 7 5 0 -4 -6 -3 3 7 9 11 15 21 23 22 20 16 12 11 10 10 10 11 11 11 10 10 11 12 12 11 10 10 10 10 11 12 14 15 16 18 20 20 20 19 18 18 19 21 24 26 27 27 26 21 16 13 12 12 14 17 19 19 15 12 9 8 9 11 12 12 11 11 10 10 10 10 10 10 10 9 9 11 12 12 13 13 13 11 11 10 10 10 10 10 11 11 10 10 10 11 11 12 12 13 13 14 14 14 13 13 13 14 15 18 23 27 30 30 30 30 30 nan
nan 9 9 8 8 9 9 9 9 9 10 11 12 12 11 10 10 9 9 8 8 8 8 7 4 0 -1 -1 2 5 8 9 9 11 15 19 23 22 16 12 10 9 9 9 9 10 10 10 10 11 11 11 12 12 12 12 11 10 10 9 7 6 7 6 4 2 -1 -5 -6 -3 2 7 9 10 11 16 20 22 21 18 14 12 11 11 11 11 11 11 10 9 10 11 12 12 12 11 10 9 8 8 9 10 11 13 15 17 17 17 17 18 20 22 25 28 28 27 25 22 17 13 12 13 14 17 22 25 24 20 16 13 12 13 13 13 12 10 10 10 10 10 10 10 9 9 8 9 10 11 11 12 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 11 12 12 12 12 13 13 12 12 12 12 11 12 14 17 20 22 23 25 28 31 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
185 177 155 123 90 60 40 19 8 4 5 4 2 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 10 12 15 17 18 21 26 30 31 32 32 35 37 41 46 50 51 53 58 73 97 119 132 129 116 92 90 97 112 123 120 108 91 76 69 65 77 107 163 246 319 366 437 499 539 543 551 579 606 627 633 638 631 611 591 578 562 536 497 457
190 162 126 88 53 28 17 8 3 1 2 2 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 7 9 11 12 12 14 17 22 28 34 38 40 43 46 47 45 45 46 51 63 77 80 78 81 78 80 83 89 96 98 96 93 90 87 82 80 85 99 121 151 175 211 231 261 299 368 436 503 561 611 647 664 667 671 678 665 650 609 549
168 132 90 50 22 7 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 4 4 3 6 13 20 27 33 37 41 44 43 41 39 38 39 46 41 41 47 55 62 66 70 73 70 71 76 83 87 94 106 116 114 117 125 132 137 140 150 173 218 276 339 424 511 577 631 680 760 790 803 808 785 719
129 93 52 21 5 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 1 3 6 11 17 21 27 32 35 36 36 34 29 30 28 29 32 37 43 48 54 58 57 58 60 63 67 74 86 107 122 123 120 117 112 97 98 112 133 162 190 232 310 390 452 563 694 820 894 935 977 965
97 62 28 8 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 11 14 16 20 24 27 26 23 21 25 28 27 25 27 27 34 41 46 49 50 50 48 51 54 71 88 97 98 95 97 88 80 79 87 97 108 126 157 201 234 299 379 474 601 764 924 1005
82 45 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 8 9 9 10 11 14 14 14 14 16 19 19 18 16 14 16 19 23 29 34 36 35 37 42 49 55 61 67 69 78 77 70 64 62 65 67 77 92 111 125 139 167 193 223 319 504 653
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