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 9 8 7 6 6 5 5 6 6 7 7 7 7 6 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 7 6 4 -0 -4 -5 -3 0 2 3 4 5 6 6 6 6 5 5 5 5 5 5 6 6 7 6 6 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 11 11 12 13 14 15 16 17 18 19 19 19 19 19 19 19 19 19 19 19 19 19 18 18 17 16 16 15 14 13 13 12 11 11 11 11 11 11 nan
nan 7 6 6 6 6 5 5 6 6 7 8 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 8 7 6 7 7 8 8 8 8 7 6 4 2 -3 -6 -4 -1 1 2 3 4 4 5 5 5 5 5 5 5 6 6 7 7 7 6 6 6 6 6 7 7 8 8 8 8 8 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 8 8 8 8 9 9 10 10 10 10 11 12 12 13 14 15 15 15 16 16 17 17 17 18 18 19 19 20 20 20 19 19 19 18 17 17 16 15 14 13 12 11 11 11 nan
nan 7 7 7 7 6 5 5 6 7 8 8 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 7 6 6 7 7 6 6 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 9 9 8 7 6 6 6 7 7 7 7 7 6 5 3 -1 -5 -5 -2 1 2 2 3 3 3 3 4 4 5 5 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 11 12 12 12 12 13 14 14 15 15 15 16 16 17 18 19 19 20 20 20 19 19 18 18 17 16 15 14 13 12 11 nan
nan 8 8 7 6 6 6 6 6 7 8 8 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 9 9 8 8 7 7 7 7 7 7 6 6 6 6 6 5 6 6 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 9 8 8 7 6 6 6 6 6 6 6 6 6 6 5 2 -2 -3 -2 -1 0 1 2 2 2 2 2 3 4 5 6 6 7 7 7 7 7 7 7 6 6 6 7 8 8 8 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 9 10 10 10 10 11 12 12 12 12 13 13 14 15 16 17 18 18 19 19 18 18 18 18 17 17 16 16 15 14 nan
nan 8 7 7 6 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 9 8 8 7 8 8 8 8 7 7 7 8 8 8 7 7 6 6 6 6 6 6 6 6 7 6 6 4 2 -0 -2 -3 -2 -1 0 1 1 1 1 2 3 5 6 6 7 7 7 7 7 7 6 6 6 6 6 7 8 8 8 8 7 7 6 6 6 7 7 7 7 8 8 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 7 7 7 7 7 7 7 7 8 8 9 10 10 10 11 11 12 13 14 14 15 16 16 16 16 16 16 17 17 16 16 16 16 nan
nan 7 7 6 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 6 7 7 8 8 8 7 8 8 9 9 8 7 7 7 7 8 8 7 7 7 7 6 6 6 6 6 7 7 6 6 6 5 3 1 -2 -3 -3 -1 -0 0 0 0 1 2 4 5 6 7 7 7 7 7 7 6 6 6 6 6 7 8 8 8 8 7 7 6 7 7 7 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 8 8 9 9 9 10 10 11 12 12 13 13 14 14 14 14 15 15 15 16 16 nan
nan 6 7 6 6 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 7 7 7 7 8 8 8 9 10 9 9 9 9 10 10 10 10 9 9 10 10 9 8 7 6 7 7 7 7 7 8 9 9 9 8 7 7 7 8 8 8 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 6 4 1 -2 -3 -3 -2 -1 -1 -1 0 1 3 5 6 7 7 7 7 7 7 7 6 6 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 6 6 6 6 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 9 9 10 10 11 11 12 12 12 12 13 13 14 14 nan
nan 6 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 7 7 6 7 8 9 9 8 8 8 8 8 8 9 9 10 9 9 9 10 11 11 11 10 10 10 11 12 11 9 8 7 8 7 7 7 7 8 9 9 9 8 8 8 9 8 7 7 8 8 8 7 6 6 6 6 7 8 8 7 7 7 7 7 6 4 2 -1 -2 -2 -2 -3 -3 -2 0 2 3 5 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 11 11 11 12 12 12 nan
nan 6 7 8 8 8 7 7 8 8 9 9 9 9 8 7 7 7 7 8 8 7 7 6 7 8 9 10 9 9 9 8 7 8 8 9 9 9 8 8 9 10 10 10 9 9 10 11 11 11 10 9 9 9 10 10 9 8 7 8 9 9 9 9 10 10 9 7 7 7 7 7 7 6 6 6 7 8 8 8 8 7 7 7 7 7 6 5 3 2 0 -2 -4 -5 -4 -1 0 1 3 5 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 nan
nan 6 7 8 9 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 9 9 9 9 8 7 8 8 8 8 7 8 9 9 10 9 9 9 9 10 10 11 10 8 8 8 9 9 9 9 9 10 9 8 7 7 7 7 6 6 6 7 7 8 9 8 8 7 7 7 7 7 7 7 6 5 4 1 -3 -6 -5 -2 -1 -1 0 2 4 5 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 nan
nan 6 7 8 9 8 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 8 10 10 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 8 7 7 7 6 6 6 7 7 8 9 9 9 8 7 7 7 7 7 8 8 7 6 6 4 1 -2 -3 -3 -3 -2 -2 -1 0 3 4 6 6 6 6 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 9 9 9 9 8 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 9 9 9 8 8 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 8 nan
nan 8 7 8 8 7 7 7 7 7 7 8 7 7 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 9 9 9 8 8 8 8 9 8 8 8 8 8 7 6 6 6 7 8 8 9 9 8 8 7 7 8 8 8 8 8 7 6 5 5 4 2 1 -1 -3 -4 -3 -3 -2 0 2 4 4 5 5 6 6 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 8 8 8 7 7 6 6 5 5 5 5 5 5 5 5 6 6 7 7 7 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 nan
nan 9 8 7 7 7 7 7 7 7 7 7 8 8 8 7 6 6 6 7 8 8 8 8 9 9 8 8 8 8 7 7 7 8 9 10 10 9 8 8 7 7 7 7 8 9 8 8 8 7 7 7 8 7 7 7 8 9 9 8 8 8 8 8 8 8 8 9 9 8 7 7 7 7 8 8 9 10 10 8 7 7 7 8 8 7 7 7 7 7 5 5 6 6 4 2 -1 -3 -3 -4 -3 -2 -0 1 2 3 4 5 6 6 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 5 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 nan
nan 10 9 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 7 9 9 9 8 9 9 9 9 8 8 8 7 7 7 7 8 9 9 9 9 8 7 7 7 7 8 9 9 9 9 8 7 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 9 9 9 10 10 9 8 7 7 7 8 8 7 6 7 7 7 6 6 6 6 6 5 3 1 -2 -4 -4 -3 -2 -0 1 1 2 3 4 5 6 7 8 8 8 8 8 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 7 7 7 6 5 5 4 3 3 3 3 3 3 4 4 4 4 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 nan
nan 11 10 9 9 8 8 8 8 7 7 7 7 7 6 6 6 7 9 10 9 9 8 8 8 9 9 9 8 8 7 7 7 7 8 9 9 9 9 8 7 6 6 7 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 8 7 6 7 8 8 8 7 7 7 8 8 8 7 7 6 7 7 6 4 1 -3 -5 -5 -3 -1 0 1 1 2 3 4 5 6 7 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 6 6 7 7 7 7 6 6 5 4 3 3 2 2 3 3 3 4 4 4 4 4 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 nan
nan 11 11 10 9 9 9 8 8 8 7 7 7 6 6 6 6 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 6 7 8 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 6 7 8 8 8 9 9 9 8 8 7 6 7 8 8 7 7 7 8 9 9 8 8 7 7 7 7 8 7 4 -1 -5 -6 -3 -1 0 1 1 1 2 2 3 4 6 7 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 6 6 5 4 3 3 2 2 3 3 3 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 nan
nan 11 11 10 9 8 8 8 8 7 7 7 6 5 5 5 7 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 8 8 9 8 8 7 7 6 7 7 8 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 9 8 8 8 8 7 7 7 8 8 7 8 9 9 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 8 7 7 7 8 8 6 2 -2 -5 -4 -1 0 1 1 2 2 1 2 3 4 6 7 7 7 7 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 6 6 5 4 4 3 3 3 3 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 5 6 6 6 6 6 6 nan
nan 11 11 10 9 8 8 8 8 8 7 7 6 5 4 5 7 10 10 9 8 8 7 7 7 7 7 7 8 8 7 7 7 8 7 7 7 7 7 7 8 8 7 7 6 7 7 8 9 9 8 8 7 7 8 9 9 9 8 8 8 9 9 9 8 8 8 8 7 7 8 8 7 7 8 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 7 6 6 7 8 7 5 1 -2 -2 -1 0 1 2 3 3 2 1 2 3 4 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 6 6 5 4 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 5 6 6 6 6 6 6 5 6 6 5 5 6 5 5 6 6 6 6 6 6 nan
nan 10 10 10 9 8 8 8 8 8 7 7 6 5 5 6 9 11 10 9 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 8 7 7 6 6 6 7 8 9 8 7 7 7 8 9 9 8 8 8 8 8 9 9 9 8 8 8 8 7 8 7 7 7 7 6 6 7 8 8 7 7 8 9 9 10 10 10 9 9 9 9 8 6 6 6 7 7 8 7 4 2 1 1 1 1 2 4 4 3 2 1 2 3 4 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 6 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 nan
nan 9 9 9 9 8 8 8 8 7 7 6 6 6 6 8 10 11 10 9 8 7 7 7 7 7 7 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 6 6 5 5 6 8 8 8 7 7 7 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 6 6 7 7 8 8 7 6 5 4 2 2 4 6 7 6 5 2 1 1 2 3 4 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 nan
nan 8 8 8 8 7 7 7 7 6 6 6 7 7 7 9 10 10 9 8 8 7 7 7 7 7 8 8 9 9 9 8 8 7 8 8 8 8 8 7 7 7 6 6 5 5 4 5 6 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 8 8 8 9 8 8 8 8 9 9 8 8 7 7 6 7 8 9 9 8 7 6 6 5 4 5 7 11 11 9 6 2 0 0 1 1 2 3 4 5 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 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 nan
nan 7 7 7 7 7 7 6 6 6 6 7 7 7 7 9 11 10 9 8 8 8 7 7 7 7 8 8 8 9 9 8 8 7 8 8 9 9 9 8 7 6 6 6 6 6 5 5 6 7 8 9 9 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 9 9 9 8 8 9 8 8 8 7 7 7 7 8 8 9 9 8 7 7 7 6 5 6 9 11 11 9 6 2 0 0 0 0 1 1 3 4 5 6 6 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
nan 8 8 8 8 7 7 7 6 6 6 7 7 7 8 10 11 11 10 9 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 8 8 9 9 9 8 8 8 9 8 8 7 6 6 8 9 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 8 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 9 8 8 7 7 8 9 9 9 9 8 8 8 7 6 6 7 9 9 9 8 5 2 1 1 1 0 -0 -0 1 2 3 4 5 6 7 7 8 8 8 7 7 7 7 8 9 9 10 10 10 10 10 10 9 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 8 8 8 9 8 8 8 8 8 8 8 8 8 nan
nan 9 9 9 8 8 7 7 7 6 6 6 7 8 9 11 11 10 10 9 9 8 8 8 8 8 8 7 6 6 7 7 7 7 7 7 8 8 9 10 11 11 11 11 10 9 8 8 8 9 10 11 11 11 10 10 10 10 10 11 11 10 9 8 7 6 6 7 7 7 7 7 8 8 9 9 9 9 9 9 8 8 8 9 9 10 10 10 9 9 8 8 8 9 9 10 10 9 8 8 9 8 7 7 7 8 8 8 7 6 5 5 4 3 1 0 -0 0 1 2 3 4 5 6 7 8 8 8 8 7 7 7 8 9 10 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 nan
nan 9 9 9 9 9 8 8 7 7 6 6 7 8 9 10 10 10 10 9 9 9 8 8 8 8 8 7 6 6 7 7 7 7 7 8 7 7 8 10 12 12 12 11 10 9 8 8 8 9 11 11 11 11 11 10 10 10 11 11 11 11 10 8 7 6 6 6 6 6 6 8 9 9 9 9 10 10 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 6 4 3 2 1 1 0 1 1 2 3 4 5 7 8 8 8 7 7 7 9 10 11 11 12 12 11 11 10 9 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 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 nan
nan 9 9 9 9 9 9 8 7 7 6 6 7 7 8 8 9 10 10 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 9 8 6 6 8 10 11 11 10 9 8 7 8 9 10 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 9 8 7 6 6 7 9 9 9 9 10 10 10 9 8 7 7 7 8 8 9 8 8 9 9 10 10 10 9 9 8 8 9 10 9 9 9 8 8 8 8 8 8 8 8 9 8 8 7 6 4 3 2 1 1 1 2 2 2 3 6 7 8 8 8 7 8 9 10 11 11 12 12 11 10 9 9 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 nan
nan 9 9 9 9 9 9 8 7 7 7 7 7 7 7 8 9 10 10 9 8 8 8 7 7 7 7 7 8 9 9 10 10 10 10 10 9 7 6 6 7 9 10 9 8 7 6 7 9 11 12 11 10 10 10 9 9 10 10 10 10 10 10 11 11 10 9 8 8 8 9 9 8 7 8 10 10 10 9 8 7 7 7 8 8 8 8 8 8 9 10 10 10 10 9 8 8 9 9 9 9 9 8 8 9 9 8 8 8 8 8 8 8 8 8 7 5 4 3 3 3 4 3 2 2 3 5 7 8 8 8 9 9 10 11 12 12 11 11 10 9 9 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 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 8 8 7 7 7 7 7 7 7 9 9 9 8 8 8 8 7 7 7 7 7 8 9 9 10 11 11 11 11 10 8 6 5 5 6 8 8 7 6 6 7 9 12 13 11 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 9 10 10 9 8 8 7 7 7 8 8 8 7 7 7 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 8 8 7 6 6 7 8 8 7 5 3 1 2 5 8 8 8 9 10 10 11 12 12 11 10 10 9 8 8 8 8 8 8 8 8 9 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 7 nan
nan 10 10 9 8 9 9 8 8 8 8 8 8 8 7 8 9 9 9 8 8 8 8 7 7 7 7 7 8 8 9 10 11 11 11 12 11 9 7 6 5 6 7 7 7 6 6 6 8 11 12 11 9 9 9 9 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 8 8 8 8 8 9 9 8 7 7 7 8 8 9 9 10 11 11 10 10 9 9 8 9 9 8 8 8 8 8 8 8 7 6 7 7 8 8 9 9 10 10 10 9 6 2 -1 1 4 6 8 8 9 10 11 11 11 11 11 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 8 7 nan
nan 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 8 8 8 8 8 9 9 10 11 12 11 10 8 8 7 7 8 8 8 8 7 6 7 10 11 11 10 9 10 9 8 8 9 9 9 9 9 9 10 10 10 10 10 9 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 10 11 12 11 10 9 9 9 9 8 7 8 9 9 9 8 7 6 6 7 8 9 9 9 9 9 9 8 6 3 -1 -2 1 4 6 7 8 9 10 11 11 11 11 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 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 nan
nan 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 10 9 8 6 6 6 6 7 8 8 8 8 8 8 8 9 10 11 11 10 10 9 9 8 9 10 10 9 8 7 7 9 10 10 10 10 11 11 9 8 8 8 8 8 9 9 10 10 10 10 8 6 5 6 7 8 9 9 9 9 9 9 9 9 10 10 9 9 9 10 9 9 8 8 9 9 10 11 12 11 10 9 9 9 9 8 8 9 10 10 10 9 7 7 7 7 8 9 10 10 9 8 7 5 2 -2 -3 -0 3 5 6 7 7 8 9 10 11 11 10 10 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 6 6 6 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 nan
nan 9 9 9 9 9 9 9 10 10 9 9 8 8 7 7 8 8 10 10 9 7 5 5 5 6 6 7 8 8 8 8 8 9 10 10 10 10 10 10 10 9 9 10 10 10 9 7 7 8 8 9 9 10 11 11 9 8 7 7 7 8 9 9 9 10 9 8 6 3 3 4 6 8 9 9 8 8 8 8 9 9 9 9 9 9 10 11 11 10 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 11 11 10 9 8 8 8 7 8 9 10 10 9 8 6 3 -0 -2 -0 3 6 6 6 6 6 7 8 9 10 10 10 10 9 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 8 8 nan
nan 10 10 9 8 8 9 10 10 10 9 9 8 8 8 8 8 8 10 11 10 8 7 5 5 5 6 7 8 8 8 8 8 9 9 9 9 10 10 11 11 10 9 9 9 9 9 8 7 7 8 8 8 8 9 9 10 9 9 8 8 8 8 8 8 9 9 6 4 2 2 4 7 9 10 9 8 8 8 8 8 8 8 8 9 9 10 10 10 11 10 10 9 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 9 9 8 8 7 8 9 10 10 8 6 2 -1 -1 3 6 8 8 6 6 5 5 6 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 8 8 7 7 7 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 nan
nan 11 10 9 9 9 9 10 10 10 9 9 8 8 9 8 8 8 9 10 10 9 8 7 7 6 6 7 7 7 8 8 8 8 8 9 9 10 10 10 10 10 9 8 8 8 8 9 8 7 7 8 8 8 8 8 9 10 10 10 10 9 8 7 7 8 8 6 4 3 4 7 10 11 11 10 9 8 7 7 7 8 8 8 8 8 8 8 9 10 10 9 8 7 7 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 9 9 9 8 7 7 8 9 9 8 6 3 1 3 8 11 10 8 7 6 5 4 4 6 7 8 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 nan
nan 11 11 10 9 9 9 9 10 10 10 10 10 9 9 8 8 8 9 10 10 10 9 8 8 7 6 6 6 7 7 7 7 7 8 9 10 10 10 9 9 9 8 8 7 7 8 9 8 7 6 7 8 9 8 8 8 9 9 10 10 10 8 7 7 8 8 7 5 5 7 9 11 11 10 9 8 8 7 7 8 9 9 8 7 7 6 7 8 8 9 8 8 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 9 9 9 8 8 7 7 8 8 8 7 7 7 10 13 13 11 9 9 8 5 3 2 4 6 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 6 6 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 8 8 nan
nan 10 10 10 9 9 9 9 9 10 11 10 10 9 9 8 8 7 8 9 10 10 9 9 8 7 7 7 7 7 8 8 8 7 8 9 9 9 8 8 8 8 8 7 7 7 9 9 9 7 6 6 8 9 9 8 7 7 7 7 8 9 9 8 7 8 8 8 7 7 9 10 11 11 9 8 8 8 7 7 8 9 9 8 6 5 6 7 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 11 12 11 10 10 10 9 5 2 1 3 6 7 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 9 8 8 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 7 7 7 8 9 9 10 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 10 9 8 6 6 8 9 9 9 8 6 6 6 6 7 8 8 7 8 8 8 7 8 9 10 10 9 9 8 9 9 8 7 8 8 8 6 5 5 6 8 8 8 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 6 2 0 2 5 7 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 6 6 5 5 5 4 4 4 4 4 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 9 8 9 8 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 8 8 8 8 9 9 8 7 7 7 8 8 8 8 7 8 9 10 9 9 8 8 8 9 10 10 9 7 5 5 6 7 7 7 7 7 7 7 7 7 9 9 9 9 9 9 10 11 9 8 8 8 7 6 5 5 7 8 7 7 7 7 8 7 7 7 7 8 8 7 8 8 8 8 9 9 9 9 9 9 8 8 7 7 8 9 9 9 9 9 10 10 9 8 8 8 6 5 5 5 4 0 -1 2 5 7 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 5 5 4 4 4 4 4 4 4 4 4 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 9 8 8 8 8 nan
nan 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 9 9 9 8 8 9 9 10 10 9 7 7 7 8 9 9 9 9 9 9 9 9 9 7 6 6 7 7 7 7 7 8 7 7 6 7 7 8 8 8 8 9 11 11 10 9 9 8 7 6 6 6 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 9 9 10 10 9 9 9 8 8 8 7 7 8 9 10 10 9 10 10 10 10 8 6 4 1 -0 -1 -0 -2 -3 -2 1 4 7 8 8 8 8 8 8 9 9 8 8 8 7 6 6 5 4 4 3 3 3 3 4 4 4 4 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 nan
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nan 8 8 8 9 9 8 8 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 10 10 11 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 9 8 7 7 7 7 7 7 7 8 8 8 8 7 6 6 6 7 7 7 7 7 7 8 9 9 10 10 10 10 10 9 9 8 8 8 8 8 9 9 10 10 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 10 11 12 13 13 13 13 13 12 10 9 7 6 6 7 8 9 9 10 12 14 18 23 26 27 28 28 27 27 28 28 27 26 25 23 19 16 15 15 15 14 14 13 13 12 11 10 10 9 9 8 8 8 9 9 9 10 10 11 11 11 11 11 nan
nan 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 9 8 7 7 6 7 7 7 7 8 8 9 8 8 7 6 6 7 8 8 8 8 7 7 7 8 8 9 10 10 9 9 8 8 8 7 7 7 7 8 9 10 10 9 10 10 10 10 10 9 9 8 8 8 9 9 9 10 11 11 12 12 12 12 12 11 10 10 9 8 7 6 6 6 7 8 8 9 10 12 13 16 19 21 21 19 17 16 17 20 23 26 27 26 22 18 15 15 16 16 14 13 12 11 10 10 9 8 7 7 7 7 8 8 9 9 10 10 11 11 11 11 11 nan
nan 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 8 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 10 10 11 10 10 10 9 8 8 8 9 9 9 9 8 8 8 8 7 6 6 6 8 9 10 10 10 10 10 9 9 9 9 9 9 8 8 9 10 11 12 12 12 12 12 11 10 9 8 7 7 7 6 6 7 8 8 8 8 9 10 11 11 12 13 13 13 12 10 7 5 4 5 7 10 13 12 10 9 12 16 19 16 13 12 11 10 9 8 7 7 6 6 7 7 8 8 9 10 11 11 11 11 11 11 11 nan
nan 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 11 12 13 13 13 13 12 11 10 10 9 9 8 8 8 8 9 9 9 8 7 7 8 9 10 11 11 11 10 10 9 9 9 9 9 9 8 9 10 11 12 13 13 12 12 11 10 8 7 7 6 6 6 6 7 8 9 9 9 9 10 10 11 12 12 12 12 12 11 11 11 10 6 3 1 0 -0 -2 -1 3 9 14 15 12 10 10 10 9 8 7 6 6 6 6 7 8 9 10 10 11 12 12 12 12 12 12 12 nan
nan 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 14 13 12 11 10 10 10 9 8 7 7 8 9 10 10 10 10 10 11 11 11 12 11 11 10 10 9 9 9 9 9 9 8 9 10 11 12 13 12 11 10 9 8 7 6 6 6 6 6 7 8 8 9 10 10 10 10 10 10 11 12 12 13 13 15 17 19 20 20 17 13 10 7 5 7 11 15 15 12 11 11 12 11 10 9 8 8 8 8 8 9 11 13 14 14 13 13 13 13 12 12 12 12 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 8 8 8 9 10 11 11 11 10 9 10 12 11 10 9 9 10 10 10 10 11 11 11 9 9 9 9 9 8 7 7 7 8 9 10 11 11 12 12 12 12 12 11 10 10 9 9 9 9 8 9 9 9 9 10 11 11 12 11 10 9 8 6 6 5 5 6 7 7 8 8 8 9 10 10 10 10 9 9 9 10 11 13 14 14 15 17 19 21 24 26 25 24 23 23 25 28 28 25 21 21 21 20 18 16 15 13 12 12 12 13 17 21 23 21 18 15 14 13 12 12 12 12 12 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 9 8 9 9 9 9 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 7 4 1 1 3 5 5 4 3 3 5 7 8 9 9 9 9 9 9 9 9 9 8 7 7 8 9 10 10 11 11 11 12 12 11 11 10 9 9 8 8 8 8 9 9 10 10 11 11 11 11 10 9 8 7 6 5 4 5 6 7 8 9 9 9 9 9 10 10 10 10 10 10 10 11 12 13 14 14 14 14 14 16 18 21 23 25 26 28 30 32 30 28 27 27 27 27 27 26 24 22 20 20 19 20 24 27 27 23 18 15 13 12 12 12 12 12 12 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 11 10 9 8 8 10 11 11 11 11 11 11 11 11 11 10 9 9 8 8 8 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 7 5 4 1 -2 -6 -8 -7 -5 -4 -4 -4 -4 -2 1 5 7 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 10 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 9 8 7 6 5 5 5 5 6 8 9 9 9 10 10 10 10 11 10 10 11 12 12 13 13 13 13 13 13 12 12 11 12 12 13 15 17 18 19 19 19 18 18 19 20 22 24 27 29 28 28 29 29 28 27 24 21 19 17 16 17 16 15 14 14 13 12 12 nan
nan 9 9 10 10 10 10 9 9 8 8 8 9 9 9 10 11 11 11 10 10 10 10 11 11 10 7 4 3 6 10 11 12 12 12 11 11 11 11 11 11 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 11 9 6 2 -1 -3 -4 -6 -7 -7 -5 -3 -3 -4 -5 -4 -1 1 4 6 6 5 5 6 6 6 6 7 7 7 7 8 9 9 10 11 11 12 12 11 10 9 8 8 8 8 9 9 10 10 10 10 9 9 9 8 7 7 6 5 5 6 6 7 8 9 10 10 10 10 10 10 10 11 10 10 10 11 12 13 14 14 13 13 12 12 12 11 11 11 10 10 10 10 10 10 9 8 8 9 10 11 13 16 18 20 23 26 29 31 30 28 23 19 17 18 21 24 24 22 19 15 13 12 11 nan
nan 9 9 9 10 10 10 9 9 8 8 8 8 9 9 10 11 11 11 11 11 11 11 11 9 6 2 -1 -0 5 10 12 14 15 15 13 11 11 11 11 11 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 9 6 2 -2 -3 -3 -3 -4 -3 -1 2 3 3 2 2 2 3 3 3 1 -1 -2 -1 0 2 3 5 5 5 5 5 7 8 10 11 12 12 12 11 11 10 9 8 8 8 9 10 10 10 9 9 8 8 8 7 6 6 5 5 5 6 7 8 9 10 10 10 10 10 10 9 9 10 10 10 9 9 10 11 12 13 14 14 14 13 13 12 11 11 10 9 9 8 7 7 7 7 7 7 8 8 9 10 11 11 12 15 19 21 22 23 24 24 23 21 21 22 21 21 18 15 12 10 10 10 nan
nan 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 10 11 11 12 12 11 10 6 1 -2 -2 1 6 9 12 15 17 17 15 12 11 10 10 10 10 10 9 9 8 7 7 8 8 8 9 9 9 10 10 10 9 9 9 9 7 5 2 1 2 3 3 2 2 4 6 6 6 6 6 6 5 4 2 -2 -5 -6 -5 -4 -2 0 2 3 3 3 5 7 8 10 11 11 11 10 10 9 9 8 8 9 9 10 10 10 9 8 7 6 6 6 7 6 6 5 5 6 7 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 12 14 14 15 14 13 11 10 9 8 8 7 7 7 8 8 8 8 9 9 9 10 10 10 10 10 11 12 12 13 15 17 20 20 17 12 7 3 2 3 3 4 6 8 9 nan
nan 9 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 11 11 11 10 8 3 -1 -1 1 4 7 9 11 13 16 17 17 16 14 11 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 8 7 8 9 11 12 12 11 10 10 9 7 6 5 6 6 5 4 3 1 -1 -2 -2 -2 -2 -1 -1 -1 0 3 7 9 10 10 9 8 8 7 7 8 8 8 9 10 10 11 10 9 8 7 5 4 5 6 6 7 7 7 8 9 10 10 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 12 12 13 14 13 11 10 10 9 7 7 6 6 7 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 13 14 12 7 0 -5 -7 -7 -4 -1 3 6 8 9 nan
nan 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 9 8 5 1 -1 1 3 6 8 9 10 11 12 16 19 20 18 13 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 9 9 9 10 13 16 19 19 19 19 19 17 13 10 7 6 6 5 5 5 5 5 5 6 6 5 3 2 0 -0 1 5 8 9 9 7 6 5 5 5 6 6 7 9 10 11 11 10 10 8 7 6 5 5 6 6 7 7 8 9 11 11 11 10 8 7 7 7 8 8 9 9 9 9 10 10 9 9 9 9 10 10 10 11 12 12 11 10 10 9 8 7 7 7 7 8 9 10 10 11 11 10 10 10 10 10 10 11 11 11 10 10 11 11 9 5 -1 -4 -4 -2 -0 2 4 7 9 9 9 nan
nan 10 10 10 9 8 8 8 8 9 9 9 9 10 9 9 9 9 9 9 9 8 7 3 0 0 2 5 7 9 9 9 9 11 15 19 22 20 15 10 9 8 8 9 9 9 9 10 9 9 8 8 8 7 7 8 9 10 10 9 9 9 11 13 16 18 18 18 18 17 16 15 13 12 10 8 7 6 5 6 6 7 8 9 8 8 7 6 6 6 6 4 3 2 2 2 3 4 5 6 7 8 10 11 11 10 9 8 8 7 7 7 8 9 9 9 9 10 10 11 10 9 9 8 7 7 7 7 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 9 9 10 9 8 8 8 8 8 9 10 10 12 12 11 11 10 10 10 10 10 11 11 11 10 9 8 6 2 -3 -5 -4 -0 4 6 7 8 9 10 10 10 nan
nan 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 8 8 7 5 1 -0 1 3 6 8 9 9 9 9 10 12 17 21 20 16 12 10 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 11 11 13 13 12 10 7 5 7 10 14 15 14 12 10 8 7 7 7 8 8 9 10 10 10 11 11 10 7 4 0 -2 -1 1 3 5 6 7 8 9 9 10 9 9 8 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 8 8 7 7 6 6 7 7 8 8 8 8 9 8 8 9 9 8 9 9 9 9 10 10 10 11 12 12 11 11 10 10 10 10 10 11 11 10 9 8 5 -0 -5 -7 -5 -1 4 7 8 9 9 10 10 10 10 nan
nan 9 9 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 9 9 8 6 3 -1 -1 1 4 6 9 9 9 9 9 9 11 15 19 20 18 14 11 9 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 7 2 -2 -3 -0 5 11 14 14 14 13 12 10 9 9 9 9 10 11 12 13 13 14 13 11 9 7 5 3 3 3 4 5 6 7 8 8 7 7 6 6 6 6 6 7 7 7 6 6 7 7 8 8 7 7 7 7 7 8 9 9 8 8 8 9 9 8 8 8 9 9 9 8 8 8 8 8 8 7 7 8 7 8 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 10 10 9 5 1 -1 -0 3 6 9 10 10 10 10 10 10 10 11 nan
nan 9 9 9 8 8 7 8 9 9 10 11 11 10 10 10 10 10 10 10 9 6 2 -1 -1 1 4 7 9 9 10 9 9 9 10 14 18 20 19 16 12 10 9 8 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 6 2 0 1 5 9 11 11 12 13 14 15 14 14 14 14 14 15 16 17 18 19 19 18 17 15 12 10 8 6 5 4 3 4 6 8 9 8 6 5 5 5 5 5 5 5 5 5 6 7 8 8 8 7 7 6 6 6 6 7 8 9 10 12 12 12 11 11 11 12 12 11 10 9 9 8 7 7 7 7 7 8 9 10 10 10 10 10 9 10 11 11 11 11 10 10 10 10 10 11 11 11 11 12 12 11 11 12 13 14 13 12 11 10 10 10 10 10 11 11 nan
nan 9 8 8 8 8 7 8 9 10 10 11 10 10 9 9 9 10 10 10 10 7 3 -0 -0 1 4 7 9 9 10 10 10 10 10 12 16 20 21 18 14 11 9 8 9 10 10 10 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 8 8 9 11 14 15 16 13 10 10 10 12 14 16 18 20 20 22 23 24 25 26 27 26 23 19 15 12 10 9 8 7 5 4 4 6 8 10 10 9 7 6 6 6 6 6 6 7 8 10 11 11 11 10 9 9 8 7 6 6 7 8 11 13 14 13 12 11 10 10 10 10 10 9 9 8 6 6 6 7 8 8 9 10 11 11 10 10 10 10 11 11 11 12 12 11 11 10 10 10 11 11 12 12 13 14 16 20 22 20 17 13 10 9 9 10 10 10 11 11 11 nan
nan 9 8 8 8 8 8 9 10 10 10 10 10 9 9 9 9 10 10 10 10 8 4 1 -0 1 4 7 9 9 9 10 10 10 10 11 15 21 22 19 16 13 10 9 9 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 8 8 10 13 16 18 18 15 12 10 9 9 10 12 14 17 20 22 24 26 27 28 29 29 26 23 18 14 12 12 12 13 12 11 9 8 9 10 12 13 13 11 10 9 8 8 9 9 10 12 13 13 12 11 11 11 10 9 9 9 9 9 11 12 13 11 9 8 8 7 7 6 6 7 7 7 6 6 6 8 9 10 10 11 12 12 12 11 11 10 10 11 11 12 12 12 12 11 10 10 11 11 11 12 12 13 14 17 20 18 14 10 7 7 8 9 10 10 10 11 11 11 nan
nan 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 8 4 0 -1 1 4 7 9 10 9 10 10 10 10 11 15 22 24 22 19 14 10 9 9 9 8 9 9 9 8 8 7 7 8 9 9 8 8 8 8 8 7 7 7 8 9 11 12 12 11 10 9 8 8 9 9 10 11 12 14 16 19 21 22 24 24 22 19 17 16 16 17 18 19 20 21 19 18 17 18 19 20 19 17 14 12 11 10 11 11 12 13 12 11 11 11 11 11 12 11 10 10 10 9 10 11 11 9 7 6 6 7 7 6 6 6 7 7 7 7 8 10 11 12 12 13 14 14 14 13 12 11 10 10 10 10 12 12 12 12 11 10 11 11 11 12 12 12 13 14 15 14 9 6 4 4 7 9 10 10 11 11 12 12 12 nan
nan 8 7 8 8 9 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 8 3 -1 -1 1 4 8 9 10 10 10 10 10 10 11 18 25 26 25 20 14 10 9 9 8 8 9 9 9 8 7 7 7 8 8 8 9 9 9 9 9 8 7 7 8 9 9 9 8 7 5 4 4 5 6 7 8 8 9 10 12 14 17 18 18 16 14 13 13 14 17 19 20 22 23 23 23 23 23 25 26 25 22 18 14 12 12 12 13 14 14 13 11 9 9 10 10 11 10 10 9 9 9 9 10 10 9 7 7 7 8 8 9 9 9 9 9 9 10 11 13 13 13 13 13 14 15 14 14 13 11 10 10 9 9 9 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 10 8 7 7 8 10 10 11 11 12 12 13 13 13 nan
nan 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 9 9 10 10 11 7 2 -1 -1 1 5 8 9 10 10 10 10 10 10 14 21 26 28 25 18 11 9 9 9 9 9 10 10 9 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 9 10 10 9 8 4 -1 -3 -3 -1 2 5 6 8 9 11 14 15 17 17 15 14 12 11 12 14 15 16 17 17 17 16 17 18 20 20 20 19 17 15 14 13 12 12 13 13 13 12 10 9 8 8 8 8 7 6 7 7 7 9 10 11 11 10 10 10 10 10 11 12 13 13 13 13 14 15 15 15 14 13 13 13 13 13 13 12 10 9 9 8 8 9 10 11 11 11 11 12 12 12 13 12 12 12 12 12 12 12 13 14 14 14 12 11 12 12 13 13 14 14 14 nan
nan 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 5 0 -2 -2 0 5 8 9 10 10 10 10 10 12 17 24 28 28 23 14 9 8 8 8 8 9 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 10 9 7 1 -5 -8 -8 -5 -1 3 6 10 12 15 16 17 17 15 13 12 12 13 13 14 13 13 12 11 9 7 6 6 7 8 9 10 11 11 10 10 10 11 10 10 9 8 5 3 2 2 2 2 2 3 5 6 8 10 12 14 14 14 13 13 13 13 14 14 15 15 16 15 15 15 14 14 13 12 12 12 12 12 12 10 9 9 9 8 9 10 10 11 11 11 11 12 12 12 13 13 12 12 12 11 12 13 16 17 17 16 14 12 12 13 13 13 14 14 14 nan
nan 10 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 8 3 -1 -4 -3 1 5 8 9 9 10 10 10 12 15 21 28 30 26 19 12 9 7 7 8 8 8 8 8 8 9 9 9 9 8 8 9 9 9 9 8 8 8 9 10 10 10 9 8 5 -0 -5 -7 -7 -5 -1 4 9 13 16 17 17 17 15 13 12 11 12 14 14 13 11 10 8 7 4 0 -4 -6 -6 -3 -1 2 3 3 2 3 5 6 5 4 1 -3 -6 -7 -7 -6 -5 -5 -2 1 4 7 9 12 14 15 14 14 14 15 15 15 16 16 16 15 14 13 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 10 11 11 11 12 11 11 11 11 11 12 12 12 12 12 11 11 12 14 15 16 18 18 16 14 13 13 13 13 14 14 14 nan
nan 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 8 3 -1 -3 -2 1 5 7 9 9 10 10 11 13 18 25 29 27 22 15 11 8 7 8 9 9 9 8 7 8 9 9 9 8 8 9 9 10 10 9 8 8 9 10 10 10 9 9 7 2 -1 -4 -5 -4 0 5 9 14 17 18 18 17 15 13 12 11 12 13 13 12 11 9 8 7 5 3 -0 -4 -6 -7 -6 -5 -4 -4 -5 -4 -2 -0 0 -1 -4 -7 -9 -10 -10 -8 -6 -6 -6 -4 -1 3 6 9 11 12 12 13 13 14 14 14 15 15 15 13 11 10 9 8 8 9 9 10 10 11 11 11 11 10 10 10 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 13 13 16 18 19 18 16 14 12 12 13 13 13 13 nan
nan 9 9 10 11 11 11 10 10 10 9 10 9 9 9 9 9 9 9 9 8 5 1 -2 -2 1 4 7 9 10 10 10 12 14 20 27 28 23 17 12 10 9 9 10 10 10 9 9 8 9 10 9 9 9 10 11 11 11 9 8 7 8 9 9 8 8 8 7 5 1 -1 -3 -2 2 6 10 14 18 20 19 17 16 14 12 12 12 13 12 12 10 9 8 8 9 10 10 9 7 5 2 1 0 -0 -1 -1 -0 1 1 -0 -3 -5 -6 -5 -3 -1 1 1 1 2 2 3 5 5 5 5 7 10 12 13 12 12 12 12 12 11 9 9 8 8 8 8 9 10 10 10 11 11 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 13 14 16 19 19 19 18 15 13 12 12 12 11 11 nan
nan 8 9 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 7 2 -2 -3 -1 3 6 8 10 10 11 12 15 22 27 25 20 15 11 10 10 10 11 10 10 9 9 9 10 10 9 9 10 11 12 11 9 5 3 3 4 6 6 6 6 6 6 3 1 -1 -2 1 5 9 12 16 21 23 20 18 15 14 14 13 13 12 12 11 10 8 8 8 11 14 17 17 16 14 13 11 9 8 8 8 9 9 7 5 2 1 2 3 5 6 8 8 9 10 10 10 8 7 5 6 10 13 15 13 12 11 10 10 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 11 11 12 12 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 13 13 13 14 15 16 17 18 20 20 17 14 13 12 11 10 10 nan
nan 9 10 11 11 11 12 11 11 10 9 9 9 9 9 9 9 9 9 9 9 7 4 -0 -3 -2 1 5 8 10 10 11 12 16 22 25 23 18 14 11 10 10 10 9 9 9 9 9 10 10 10 10 9 9 10 10 9 5 0 -3 -3 -1 1 4 5 6 6 5 3 0 -1 -0 4 8 11 14 20 25 24 21 18 15 15 14 13 12 11 11 10 9 7 8 9 11 14 15 16 18 18 18 18 17 15 14 14 13 13 11 9 7 7 7 8 9 10 11 13 14 15 14 13 11 9 10 13 17 18 16 12 10 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 12 13 14 14 14 13 12 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 14 14 15 15 16 16 18 20 21 19 17 16 16 15 13 11 nan
nan 10 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 6 2 -2 -3 -1 4 7 10 11 11 11 15 21 23 22 19 15 12 11 10 9 8 8 9 9 10 11 12 12 11 10 9 10 9 9 5 1 -2 -3 -3 1 5 7 7 7 5 1 -1 -1 2 7 10 13 16 22 26 24 20 17 15 14 13 12 10 10 10 9 8 8 9 10 11 11 11 12 15 17 19 20 20 20 19 17 16 15 13 11 10 10 10 11 13 15 17 20 21 19 16 13 12 11 13 16 17 17 13 10 8 8 7 8 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 15 15 13 12 11 10 10 10 10 10 11 11 11 11 12 12 12 13 13 14 14 15 15 15 15 16 18 19 20 22 24 25 24 22 20 18 nan
nan 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 8 8 8 7 4 -1 -3 -1 2 6 9 11 11 11 15 20 22 24 22 17 12 11 9 8 8 9 9 10 10 11 12 13 12 11 11 11 11 12 9 7 5 2 1 4 6 6 6 5 1 -2 -2 1 6 10 12 14 17 21 23 22 19 16 14 13 12 11 10 10 10 10 9 9 10 11 11 11 10 11 12 14 16 18 19 19 19 18 17 16 15 14 14 14 16 18 21 24 26 27 25 21 16 13 12 12 13 15 17 17 14 12 10 9 10 11 12 12 11 10 10 10 10 10 11 11 10 10 10 11 13 13 14 15 13 12 11 10 10 10 10 10 10 10 11 11 11 11 11 11 12 13 13 14 15 15 15 15 15 15 16 17 22 26 28 27 26 26 27 nan
nan 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 8 6 0 -3 -2 1 5 9 10 11 11 13 18 22 26 23 16 12 10 9 9 10 11 11 10 10 10 12 13 13 12 12 12 12 13 13 13 11 8 6 5 5 3 2 -0 -3 -3 0 6 10 12 13 13 16 20 21 20 17 15 14 13 12 11 10 11 10 10 10 10 11 12 12 12 11 11 12 12 13 13 13 13 13 13 13 14 14 14 15 17 20 23 27 28 27 26 23 18 14 13 12 13 16 20 23 23 20 17 14 13 13 13 13 12 10 10 10 10 10 10 10 10 10 9 10 11 12 13 13 13 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 13 14 14 14 13 13 12 12 13 15 17 20 20 21 23 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 3 4 6 8 10 11 13 16 18 18 22 25 26 27 29 32 35 40 49 59 69 74 92 145 196 259 281 290 311 362 406 417 416 424 435 439 440 439 451 489 541 539 553 613 703 801 893 971 995 1075 1177 1272 1330 1364 1410 1382 1278 1084 919
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 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 5 6 7 7 8 11 12 13 12 13 16 17 20 23 25 23 21 28 40 51 65 71 65 63 109 135 143 152 160 159 158 169 192 235 268 283 304 343 384 423 484 535 578 629 682 770 879 988 1128 1352 1410 1397 1361
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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 5 8 8 9 9 10 11 11 11 14 12 11 10 9 9 12 15 16 17 26 36 50 61 66 64 68 74 90 116 135 152 170 197 230 260 292 321 350 388 434 485 541 634 712 897 1072 1200 1311
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 6 6 7 8 8 8 9 10 9 7 4 2 3 7 13 19 23 32 46 57 60 59 58 64 69 78 88 101 119 134 147 165 180 195 215 244 274 305 341 406 462 524 608 703 781
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 5 5 6 6 6 9 9 6 2 0 0 2 5 13 21 29 41 54 59 65 65 65 65 65 70 76 93 103 111 118 127 138 151 163 178 195 215 248 279 306 336 375 408
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 4 4 4 5 5 5 5 4 1 0 0 0 0 3 8 13 21 33 42 51 56 60 62 56 57 59 65 70 75 82 90 98 106 116 122 133 147 164 179 194 214 240 262
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