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 10 10 9 8 7 7 7 7 7 7 8 8 8 8 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 8 8 8 7 7 8 9 9 9 8 7 7 7 6 6 6 6 6 7 8 8 8 8 8 8 8 8 8 8 7 6 6 6 7 8 8 9 8 7 6 2 -3 -5 -2 1 2 2 2 3 3 4 4 5 6 7 8 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 11 11 11 10 10 9 9 9 9 10 11 11 12 13 13 14 14 14 14 14 13 12 11 9 8 8 8 8 10 13 18 21 25 27 29 29 28 26 23 20 16 13 11 9 9 8 8 7 7 7 7 nan
nan 10 9 8 7 6 6 6 6 7 7 8 8 8 8 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 6 6 6 6 7 7 8 8 8 8 7 7 8 8 8 8 7 6 5 6 7 8 8 9 9 7 6 3 -2 -6 -5 -1 1 2 3 4 5 5 6 6 7 8 8 9 9 9 9 9 9 9 9 9 9 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 10 11 11 11 11 10 9 9 9 9 9 10 10 10 11 11 12 13 14 15 15 15 14 13 12 11 10 8 7 7 8 10 14 18 21 25 28 30 30 28 26 24 20 17 15 13 11 10 9 9 8 8 nan
nan 9 8 7 7 6 6 6 6 7 7 8 8 8 8 8 8 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 7 8 8 7 6 6 7 7 8 7 7 7 7 7 6 6 6 6 6 7 8 8 8 8 8 7 7 7 8 8 8 7 6 5 5 6 7 8 9 9 8 7 4 -2 -7 -8 -4 -0 2 4 5 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 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 11 11 10 10 9 9 8 8 8 8 8 8 7 8 9 11 12 14 14 14 14 13 12 11 10 9 8 8 8 9 11 13 17 21 25 27 28 29 29 28 25 23 21 18 15 14 12 11 10 nan
nan 8 8 7 7 6 6 6 6 7 7 7 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 6 7 7 7 6 6 6 7 7 8 8 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 6 5 5 7 7 7 8 9 9 8 5 -0 -6 -7 -6 -2 1 4 5 6 6 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 7 8 9 9 10 10 9 9 8 8 7 7 7 7 6 5 5 6 7 9 10 12 12 11 11 11 10 9 9 9 9 8 8 8 9 10 13 16 18 21 24 27 29 29 29 27 25 22 20 18 15 13 nan
nan 9 8 7 6 6 6 6 7 7 7 7 7 8 8 7 7 7 6 7 7 7 8 8 8 7 7 6 6 6 7 7 7 7 7 7 7 7 8 8 7 6 6 7 7 7 7 8 8 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 7 8 8 8 7 7 6 6 5 6 7 7 7 8 9 9 7 5 2 -1 -4 -5 -4 -1 3 5 5 5 4 4 4 4 4 5 5 6 6 6 6 6 6 6 6 6 7 7 7 8 9 9 9 10 10 9 9 9 9 9 9 9 8 8 8 7 7 7 6 6 6 6 6 6 7 8 8 9 9 8 8 7 6 6 6 6 6 5 5 5 6 6 7 8 8 9 9 8 8 7 8 8 8 8 8 8 7 7 8 9 11 13 15 17 21 25 27 27 26 26 26 23 20 18 nan
nan 9 8 7 6 6 7 7 7 7 7 7 8 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 6 6 6 7 7 7 7 8 8 9 10 10 9 8 7 8 8 8 8 9 8 7 7 7 6 6 6 6 7 7 8 8 8 9 9 8 7 8 8 8 7 7 7 6 6 6 7 8 8 8 8 8 6 5 4 3 1 -2 -4 -3 0 3 4 4 3 3 3 3 4 5 6 6 6 6 6 6 6 6 6 7 7 7 8 9 9 9 10 10 10 9 9 9 8 8 8 8 8 8 7 7 7 7 6 6 6 5 5 5 5 6 7 7 8 8 8 7 6 6 6 6 6 5 5 6 6 6 6 6 7 7 6 6 5 5 6 6 7 7 7 7 7 7 7 7 7 7 8 9 10 15 18 19 20 23 25 26 25 24 nan
nan 8 8 7 6 6 7 7 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 7 8 8 8 7 7 7 7 8 8 8 8 9 10 10 10 9 8 8 8 8 8 9 9 9 8 7 7 6 6 6 7 7 7 7 8 8 9 9 8 8 8 8 8 7 7 7 7 6 7 8 8 8 9 9 7 5 5 5 5 4 2 -0 -2 -1 1 3 3 3 2 2 2 3 4 5 6 6 6 6 6 6 6 6 7 7 8 9 9 9 9 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 5 5 5 6 7 7 7 7 7 6 6 6 5 6 6 7 7 7 7 7 6 6 5 5 5 5 4 5 5 6 6 7 7 7 7 6 6 6 6 6 7 9 11 13 16 20 23 25 27 nan
nan 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 7 8 8 9 8 8 8 7 8 9 9 10 9 9 9 9 9 9 8 8 7 8 9 9 9 8 8 7 7 6 6 7 7 7 7 7 8 9 9 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 8 7 5 4 5 6 6 5 4 2 1 2 2 3 2 0 0 1 2 3 5 6 6 6 6 6 6 6 6 7 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 6 6 5 5 5 5 5 5 6 6 6 6 6 6 5 5 6 7 7 7 7 7 7 7 7 7 6 5 4 3 3 4 5 6 6 6 7 7 6 6 6 5 5 5 5 7 9 12 16 20 24 nan
nan 7 8 8 7 7 6 6 7 7 8 8 8 8 7 7 7 7 7 7 8 8 7 7 7 8 9 9 8 8 7 7 7 8 10 10 10 9 8 8 9 9 8 8 7 7 8 9 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 6 6 7 8 8 8 8 8 7 5 4 5 6 6 6 7 6 6 5 4 3 0 -2 -2 -1 1 2 4 5 6 6 6 6 6 6 6 7 8 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 7 7 7 6 6 5 4 4 4 5 5 5 5 5 5 5 5 6 6 6 6 6 7 8 8 9 9 8 6 4 3 3 4 5 5 6 6 7 7 7 6 6 5 4 4 4 5 6 9 13 17 nan
nan 6 7 7 7 7 6 6 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 7 8 8 8 8 8 7 7 6 7 8 9 10 10 8 8 8 8 8 8 7 7 7 7 8 8 8 7 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 6 7 7 8 8 8 8 8 7 5 5 5 6 6 6 7 8 8 7 7 4 1 -3 -3 -1 0 1 2 4 5 5 5 5 5 6 6 7 8 9 9 9 9 9 8 7 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 5 5 4 4 4 5 4 4 4 4 5 6 6 6 5 6 7 8 9 9 9 8 6 5 4 4 4 5 6 6 6 7 7 7 6 6 5 5 4 4 5 6 7 10 nan
nan 6 6 6 7 7 6 6 6 7 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 8 7 8 8 7 6 6 6 7 8 9 9 8 8 7 7 7 7 7 7 6 7 7 8 7 7 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 9 7 6 5 5 6 6 7 7 8 8 8 7 6 3 -0 -1 -1 -1 0 1 2 3 4 4 5 5 5 6 7 8 9 9 9 9 8 7 7 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 7 6 6 6 5 5 5 5 5 4 4 5 5 6 6 5 5 5 6 7 9 9 9 8 7 6 5 5 5 5 6 6 7 7 7 7 6 6 6 6 5 5 6 6 7 nan
nan 6 6 6 7 7 6 6 6 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 8 7 7 6 6 7 8 9 9 9 8 8 8 7 7 7 7 6 7 7 7 7 7 6 6 7 6 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 7 7 8 8 8 8 8 9 9 7 6 5 5 6 7 7 7 8 8 7 7 7 6 4 2 1 -1 -1 -0 1 2 3 3 4 5 5 6 7 8 9 9 8 8 7 7 6 6 6 6 6 7 7 7 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 5 5 6 6 6 6 6 5 5 6 7 8 9 9 8 8 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 6 7 7 7 nan
nan 8 7 6 7 7 7 7 7 7 7 7 8 8 8 7 7 7 8 9 8 8 7 7 8 8 8 8 8 8 7 6 6 6 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 9 10 9 8 5 4 5 6 7 7 8 8 8 7 6 6 7 7 6 4 1 -1 -1 -0 0 1 2 3 4 6 7 7 8 8 8 8 7 7 6 6 5 6 6 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 6 6 6 6 7 8 8 9 8 8 7 7 6 6 6 6 6 7 7 8 8 8 8 8 7 7 7 8 nan
nan 10 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 8 9 10 9 8 7 7 8 8 8 8 8 8 8 7 6 6 7 7 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 7 7 8 8 8 8 8 8 9 9 9 10 10 10 9 7 5 5 6 6 7 7 8 8 8 7 6 6 7 7 7 6 4 2 0 -1 -2 -2 0 2 4 6 6 7 8 8 8 8 7 6 5 5 6 6 7 7 7 7 8 8 8 8 8 9 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 7 7 7 7 6 6 7 7 8 8 9 8 8 8 8 7 7 7 6 6 6 7 8 8 9 9 8 7 7 7 nan
nan 10 9 8 8 7 7 8 8 7 7 7 7 7 7 7 7 9 10 9 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 8 8 8 8 7 7 7 8 7 7 7 8 8 9 9 9 9 9 9 8 6 5 5 6 6 7 8 8 8 7 6 6 7 7 7 7 7 6 5 3 -1 -4 -4 -1 2 4 5 6 7 8 8 8 7 6 5 5 5 6 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 5 5 6 7 7 8 8 7 7 7 nan
nan 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 8 10 9 8 7 7 7 7 7 8 8 8 8 8 8 8 9 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 7 7 8 8 7 7 7 8 8 8 8 9 9 9 8 6 5 5 5 6 7 7 8 8 8 7 7 6 7 7 7 6 7 7 8 5 0 -5 -5 -2 2 4 5 6 7 8 8 7 6 6 5 5 5 6 6 7 7 7 8 8 8 8 9 9 9 9 9 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 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 7 6 5 5 4 5 5 6 7 7 7 7 nan
nan 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 10 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 7 6 5 5 6 6 7 8 8 8 8 7 7 7 6 7 7 6 6 7 8 6 2 -3 -5 -2 2 4 5 6 7 8 7 7 6 5 5 5 5 6 7 7 7 7 8 8 8 9 9 9 9 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 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 6 5 4 4 4 5 6 6 7 7 nan
nan 6 7 8 8 8 8 8 8 8 8 8 7 7 7 8 10 10 9 8 7 7 7 7 7 7 7 8 8 8 7 7 8 9 9 8 8 8 8 8 8 8 7 6 6 6 7 7 7 8 7 7 6 7 7 8 9 9 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 5 5 5 6 7 7 8 8 8 8 8 7 7 7 7 7 6 6 7 7 7 5 1 -2 -0 3 5 5 6 7 7 6 5 5 4 4 5 6 6 7 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 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 8 7 6 5 5 5 5 5 6 6 7 nan
nan 5 7 8 8 8 8 8 8 8 8 8 8 7 7 8 10 10 9 8 8 7 7 7 7 7 7 8 8 9 8 7 7 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 8 7 7 7 7 8 9 9 9 8 8 8 7 7 8 8 9 9 8 8 8 8 8 8 8 8 7 6 6 5 5 6 7 7 7 8 8 8 8 8 8 8 7 7 7 6 6 7 7 7 6 4 2 3 4 5 6 8 9 8 6 4 3 3 4 5 6 6 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 8 7 7 6 7 7 7 7 7 6 nan
nan 7 8 9 8 8 8 8 8 8 8 8 8 8 8 9 10 11 10 8 8 7 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 7 6 5 5 5 6 7 7 7 7 7 8 9 9 9 8 8 8 7 7 8 8 9 9 9 9 8 8 8 8 8 8 8 7 6 5 4 5 6 7 7 7 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 5 5 5 5 6 8 11 11 9 5 3 1 2 3 5 6 6 7 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 6 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 8 8 9 9 9 10 10 10 10 10 10 9 9 10 9 9 8 7 7 8 8 9 8 8 7 nan
nan 9 9 9 9 8 8 7 7 8 8 8 8 8 9 9 10 10 9 8 8 8 8 8 7 7 7 8 8 9 10 9 8 8 8 8 8 8 8 8 8 8 7 6 5 4 4 5 6 7 7 7 8 9 10 9 9 8 8 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 7 6 4 4 5 7 8 8 8 9 8 7 8 8 9 8 7 7 7 7 8 8 7 7 7 6 6 6 6 7 10 13 12 9 5 0 -1 1 3 5 6 6 6 7 7 7 8 8 8 8 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 10 10 10 10 10 10 10 9 10 10 9 9 8 7 7 8 9 9 9 8 nan
nan 10 10 9 9 8 7 7 7 7 8 8 8 8 8 9 10 10 9 8 8 8 8 8 7 7 7 8 8 8 9 9 8 8 7 8 8 8 9 9 8 8 7 7 6 5 5 5 6 6 7 8 9 10 10 10 9 8 8 7 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 5 4 4 6 8 9 9 9 9 8 7 7 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 8 9 11 10 7 3 -2 -3 0 3 4 5 6 7 7 7 7 8 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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 8 7 6 7 8 9 9 9 nan
nan 10 10 9 8 8 7 7 7 7 7 7 7 7 8 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 9 9 8 7 6 6 6 6 7 9 10 11 11 10 9 9 8 8 9 9 10 9 9 9 8 8 8 8 8 8 8 8 7 6 5 4 5 7 8 9 9 9 9 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 8 8 7 7 8 8 8 7 3 -1 -1 2 4 4 5 6 7 7 7 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 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 10 11 10 10 8 6 5 6 7 8 8 8 nan
nan 10 9 9 8 7 7 7 7 6 6 6 7 7 9 10 10 9 9 8 8 8 8 8 8 7 7 6 6 6 7 7 8 8 8 8 8 8 9 9 10 10 11 11 10 8 7 7 7 7 8 9 11 11 11 10 9 9 9 10 10 10 10 9 8 8 7 7 7 7 7 7 8 8 7 5 4 4 6 7 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 6 5 3 4 5 5 4 5 5 6 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 11 11 11 9 7 5 5 5 6 7 7 nan
nan 9 9 9 8 8 8 7 6 6 6 6 7 8 9 10 9 9 8 8 7 7 7 7 7 7 6 6 5 6 6 6 7 8 8 9 8 7 8 9 10 11 12 11 9 8 7 7 7 8 9 10 11 11 10 10 9 9 10 11 11 11 10 10 9 8 7 6 6 6 6 7 8 8 6 5 4 5 7 8 9 9 9 9 8 8 8 7 8 8 8 8 9 9 8 7 7 7 7 8 8 8 8 7 7 7 7 7 6 6 7 8 7 5 5 5 5 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 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 10 10 10 10 10 10 10 9 9 8 8 8 9 10 11 12 11 8 6 5 4 5 6 6 nan
nan 9 10 9 9 8 8 7 7 6 6 7 8 9 9 9 9 8 8 7 7 7 7 7 7 7 6 6 6 6 7 7 8 8 9 9 8 7 7 8 9 10 11 10 9 8 7 7 8 9 9 10 10 10 10 9 9 10 11 12 12 11 11 11 10 9 8 7 7 6 7 8 9 8 6 4 4 6 8 9 9 9 9 8 8 7 7 7 8 8 8 9 9 9 8 7 6 7 8 8 8 8 7 7 7 7 6 7 7 8 9 8 8 7 7 6 6 6 7 7 8 9 9 9 8 8 7 7 7 7 7 7 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 9 9 10 10 10 10 10 10 10 10 9 9 8 7 7 7 8 10 12 11 10 8 6 5 5 5 6 nan
nan 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 9 8 8 7 6 6 6 6 6 7 7 7 8 8 8 8 9 9 10 10 9 7 7 7 8 9 9 9 8 7 7 7 8 10 10 9 9 9 9 9 9 11 12 12 12 12 11 11 10 9 8 8 8 8 8 8 8 7 5 4 5 7 9 10 10 9 8 8 7 7 7 7 8 8 8 9 9 8 7 7 6 7 8 9 8 8 7 7 7 6 7 7 7 8 8 8 8 8 8 7 6 7 7 9 11 12 12 11 9 7 6 6 7 7 7 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 9 9 10 10 10 10 9 9 9 10 9 9 8 8 7 7 7 9 11 11 11 10 8 6 6 6 6 nan
nan 9 10 9 9 8 8 8 8 7 7 8 8 7 7 8 9 9 8 7 6 6 6 6 6 6 7 8 8 8 8 9 9 10 10 11 10 9 8 7 7 8 9 8 7 6 6 7 8 10 10 9 8 8 8 8 9 10 12 12 12 12 11 10 9 8 9 10 10 10 9 7 5 5 5 5 6 9 10 10 9 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 7 8 9 12 15 17 15 12 8 5 4 6 7 7 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 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 8 8 7 7 8 9 10 10 10 9 8 7 7 7 nan
nan 9 9 9 9 9 8 8 8 8 8 8 7 7 6 7 9 9 9 8 7 6 6 6 6 7 8 8 8 8 8 8 9 9 10 11 11 10 9 9 9 9 9 8 7 6 6 7 7 8 9 8 8 8 8 8 9 10 11 11 11 11 10 9 8 9 10 11 11 10 8 4 3 3 4 6 8 10 11 9 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 8 8 9 8 8 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 8 9 11 13 16 16 14 8 2 -1 2 6 7 8 8 8 8 9 9 9 9 9 9 9 9 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 9 9 9 9 9 9 8 8 7 7 8 8 9 9 9 8 7 7 7 nan
nan 9 9 9 9 9 8 8 8 8 8 8 7 7 6 7 8 9 9 9 8 7 6 6 7 7 8 8 8 8 8 8 8 8 9 10 10 9 9 10 10 10 10 9 8 7 7 7 7 7 7 8 8 8 9 9 10 11 11 10 9 9 8 8 9 11 12 13 12 10 5 1 1 2 4 7 10 11 10 9 8 7 7 7 7 8 8 9 9 9 8 7 6 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 11 12 10 6 -2 -8 -6 1 5 7 8 8 8 8 9 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 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 nan
nan 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 9 10 10 9 8 7 7 7 8 8 8 7 8 8 7 7 8 8 9 9 8 8 9 10 11 11 10 9 8 7 7 7 7 7 7 8 8 10 11 11 11 10 9 8 8 8 9 10 11 13 14 12 8 3 -0 -0 2 6 9 11 11 9 8 7 7 7 7 7 8 8 9 10 9 7 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 8 8 8 8 5 -2 -10 -12 -5 3 7 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 10 10 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 10 11 11 11 10 9 9 8 7 7 7 7 7 8 9 11 11 10 9 8 8 8 8 9 10 11 12 12 9 5 1 -1 1 5 10 12 11 9 7 6 6 6 7 7 7 8 8 9 9 8 7 6 7 7 7 7 8 7 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 8 6 1 -6 -11 -7 1 7 10 10 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 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 6 6 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 9 10 10 9 8 7 7 6 6 7 7 8 8 7 7 7 7 7 7 8 8 8 9 9 10 10 10 10 10 9 8 8 8 7 7 7 8 9 10 10 10 9 9 9 9 9 9 10 10 8 5 1 -1 1 5 10 14 14 11 8 5 5 5 7 7 8 8 8 8 9 9 8 8 7 7 7 7 7 7 7 7 8 8 9 10 10 10 9 9 8 8 8 8 8 8 7 7 7 7 7 7 6 4 -1 -6 -6 2 10 14 14 12 10 9 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 nan
nan 9 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 10 10 9 8 7 6 6 6 7 8 8 8 8 7 7 7 8 8 8 8 7 7 7 8 9 9 10 10 10 9 9 8 7 7 6 6 7 9 11 11 11 10 9 9 8 8 8 8 5 2 0 1 5 10 14 16 14 10 7 5 5 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 9 10 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 6 6 6 4 2 1 6 15 20 20 16 13 10 9 8 8 8 8 8 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 nan
nan 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 7 7 6 7 7 7 8 8 8 7 7 7 8 8 8 7 5 5 5 6 7 8 9 10 10 10 9 8 8 7 6 4 5 7 10 11 11 11 10 9 8 8 8 7 5 3 3 5 9 13 15 15 12 8 6 6 7 8 8 8 8 8 8 7 8 8 8 8 8 7 7 7 7 8 8 8 9 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 8 10 16 22 23 19 16 13 11 9 7 6 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 8 8 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 nan
nan 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 8 7 7 7 7 7 7 8 8 7 7 7 7 8 9 8 7 6 5 5 4 5 6 9 10 11 10 9 8 8 9 7 5 4 5 7 8 9 10 10 9 8 8 7 6 5 4 5 8 11 13 13 10 7 6 7 8 9 9 9 8 7 7 7 8 8 8 8 8 7 7 6 7 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 9 10 13 15 16 15 13 12 11 9 6 4 4 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 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 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 8 8 8 8 7 7 7 7 7 7 8 8 8 7 8 8 8 9 9 9 8 7 6 5 4 5 8 10 10 10 10 9 10 11 10 7 5 3 3 4 6 8 8 8 7 6 6 6 5 5 7 9 11 11 9 7 6 7 9 10 10 10 9 8 7 7 8 9 8 8 8 8 7 6 7 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 6 7 8 9 10 10 10 8 8 8 7 5 2 0 2 5 6 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 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 10 9 7 5 5 6 7 9 9 10 10 11 12 12 10 7 3 0 1 4 6 7 7 6 6 5 5 5 6 7 9 9 9 7 6 8 10 12 11 10 9 9 8 7 8 9 9 9 8 8 7 7 7 7 8 8 8 8 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 9 8 7 5 3 2 0 -2 -5 -4 1 4 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 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 9 9 9 9 9 9 nan
nan 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 7 7 7 8 9 9 10 10 10 10 10 10 10 10 11 11 9 7 5 5 5 7 8 9 10 11 13 13 12 9 5 3 3 6 8 8 8 7 6 6 6 6 6 7 9 9 8 7 8 9 10 11 10 9 9 9 8 7 8 9 9 8 8 7 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 8 8 8 7 3 -1 -4 -7 -8 -10 -11 -6 1 5 7 7 7 7 7 7 7 7 7 7 7 8 8 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 9 9 10 10 10 10 10 10 nan
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nan 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 9 7 6 5 6 7 8 9 9 9 9 9 10 10 11 11 10 9 9 10 11 12 12 11 10 10 9 8 7 8 9 10 10 10 10 9 8 9 10 11 13 13 13 13 12 12 13 14 15 15 15 14 12 11 10 11 12 12 12 14 14 14 13 12 12 12 11 9 7 4 3 5 9 11 13 14 15 14 13 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 8 8 9 9 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 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 9 8 8 8 9 9 9 9 8 8 8 7 7 8 8 8 7 7 6 5 5 6 6 6 6 6 7 7 8 9 9 9 9 9 9 8 9 11 12 12 11 10 9 8 8 9 10 11 11 11 11 11 10 10 10 11 12 12 12 12 11 10 11 12 14 15 15 15 15 14 13 12 12 11 11 11 12 13 14 14 14 14 13 12 11 11 12 14 17 20 22 24 25 24 23 21 19 19 18 16 15 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 8 8 9 9 10 10 10 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 8 8 8 9 9 10 9 9 8 8 7 7 7 8 8 8 7 6 5 5 6 6 5 5 5 5 5 6 6 7 7 7 7 7 7 7 8 9 10 9 9 8 8 8 9 11 12 12 11 11 11 11 11 11 11 12 12 11 11 10 10 11 12 13 13 13 12 12 13 14 14 13 13 13 13 12 12 11 12 13 14 14 13 12 12 14 17 22 25 27 28 29 29 29 30 30 29 28 26 24 20 16 14 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 9 8 8 8 9 9 9 9 8 8 8 7 7 7 8 8 8 7 6 6 6 6 5 5 5 5 5 5 4 4 4 5 5 5 5 6 7 9 10 9 8 7 6 7 8 11 12 12 11 10 10 10 10 11 11 11 11 11 11 10 10 11 13 14 13 12 10 10 10 10 11 12 14 15 16 16 14 13 12 11 11 11 11 10 10 11 12 15 18 20 21 20 18 17 19 22 26 28 29 28 25 20 17 16 16 16 14 13 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 11 11 11 11 10 10 10 11 11 10 9 8 8 8 9 10 10 9 9 9 8 8 8 8 8 9 8 7 6 5 5 6 5 5 6 6 7 6 6 5 5 5 5 5 5 7 9 11 13 12 11 9 7 7 8 10 11 11 11 10 10 10 10 11 11 12 12 12 12 12 11 11 13 14 14 12 9 8 8 9 10 10 11 12 14 14 15 14 13 12 11 9 8 8 9 10 10 11 12 12 13 13 11 8 5 4 5 7 10 13 13 12 11 14 17 19 17 14 13 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 nan
nan 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 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 11 11 11 10 10 10 11 11 11 10 9 8 9 9 10 10 10 9 9 9 9 9 9 9 9 8 7 6 5 4 4 5 6 6 7 8 8 8 8 8 9 9 8 7 8 10 12 14 14 13 11 10 10 11 12 12 12 11 11 10 10 11 11 11 12 13 13 13 13 12 11 12 13 13 12 10 8 8 9 10 10 10 11 11 11 10 11 11 11 11 9 8 8 8 9 10 11 12 12 12 12 12 13 12 10 6 1 -1 -2 -2 -3 -1 3 9 14 16 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 nan
nan 8 9 9 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 11 11 10 9 8 9 9 9 9 9 9 9 9 9 9 10 10 10 8 7 5 3 3 4 5 7 9 9 9 10 10 10 11 11 12 11 9 8 9 11 12 13 13 12 12 13 15 15 15 13 12 11 11 11 11 11 12 11 12 12 12 12 12 10 10 10 10 10 10 9 9 9 10 10 10 10 10 9 8 8 8 8 8 9 9 9 9 9 9 10 11 12 13 13 14 16 18 20 21 20 16 11 7 5 3 6 10 13 14 12 12 13 14 14 14 14 13 13 12 12 12 12 13 15 15 14 14 13 13 13 13 13 12 12 nan
nan 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 11 11 12 11 11 11 11 11 12 12 11 11 11 10 10 11 10 10 10 10 10 10 10 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 5 3 1 0 1 3 5 8 10 11 10 11 11 11 11 12 11 9 8 7 8 9 11 12 13 13 13 14 14 15 15 14 12 12 11 12 12 12 12 12 11 11 11 10 10 9 8 8 8 8 9 9 9 10 10 10 10 9 9 9 8 8 8 8 8 8 9 10 10 10 9 8 8 9 11 13 14 15 16 18 20 22 25 26 25 23 22 22 25 27 28 25 22 22 23 23 22 20 18 17 16 15 14 15 18 22 24 23 19 16 15 14 14 13 13 12 12 nan
nan 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 12 12 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 8 5 2 -2 -5 -7 -6 -3 0 3 5 7 8 9 10 11 12 11 11 10 8 6 6 7 9 11 13 14 14 13 13 12 12 12 12 11 11 11 11 12 12 12 12 10 10 10 9 9 8 8 7 7 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 10 10 10 12 13 14 14 14 14 14 16 19 22 25 26 26 28 30 32 32 30 30 31 31 31 31 30 27 24 22 20 19 20 23 27 27 24 20 16 14 13 13 13 13 12 12 nan
nan 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 10 10 11 11 10 9 7 8 10 12 12 13 13 12 12 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 10 11 11 11 10 8 4 -1 -5 -9 -12 -13 -11 -7 -3 -1 -0 0 2 3 6 9 11 12 11 9 8 6 6 7 9 12 14 15 15 14 12 11 10 10 11 11 11 11 11 11 11 11 10 9 8 8 8 8 8 8 7 8 8 8 8 8 8 9 9 8 8 8 8 8 9 9 10 11 11 11 11 11 11 11 12 14 14 14 14 14 14 13 13 12 11 11 12 12 13 15 17 19 20 20 21 21 21 23 25 27 28 30 31 30 29 29 30 29 26 24 21 19 18 18 18 16 15 15 14 14 13 13 nan
nan 10 10 10 10 9 9 9 9 8 9 9 9 10 10 10 11 10 10 10 10 11 11 11 10 7 3 -0 -1 2 8 11 12 13 14 14 13 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 8 2 -5 -11 -14 -14 -11 -7 -3 0 2 1 -0 -1 -0 2 4 7 8 8 6 5 5 5 6 8 11 13 14 14 13 12 10 9 10 11 12 12 12 12 10 9 9 8 7 7 7 8 8 8 8 8 8 7 7 8 7 7 7 8 9 9 9 8 8 9 10 11 11 12 12 11 11 11 11 12 13 15 16 16 17 15 14 13 12 12 11 11 10 9 9 10 10 11 11 11 11 11 12 13 15 16 18 20 22 24 28 31 33 32 30 25 20 17 19 22 25 25 23 20 17 15 13 13 nan
nan 10 10 10 10 10 10 9 9 8 8 8 9 9 10 10 10 10 10 11 11 11 11 10 7 0 -6 -8 -6 1 8 10 12 14 16 15 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 8 3 -4 -10 -12 -11 -7 -2 2 5 7 6 5 4 4 4 4 4 4 2 -2 -3 -2 -0 2 5 9 10 11 10 9 9 8 9 9 11 12 12 12 11 9 8 7 7 7 7 8 9 9 9 8 8 7 7 6 6 6 6 5 5 6 8 9 10 10 10 11 11 12 12 11 11 10 11 11 11 12 12 13 14 15 16 15 14 13 12 11 10 9 9 8 8 8 8 8 8 9 9 9 10 10 11 11 12 12 13 16 20 23 25 26 27 27 25 23 22 23 23 23 21 18 15 13 12 11 nan
nan 10 10 10 10 10 10 10 9 9 8 8 8 9 9 9 10 10 10 11 11 11 10 8 2 -5 -9 -9 -3 4 8 10 13 15 16 15 14 14 14 13 12 11 11 11 10 10 10 10 10 9 9 9 10 11 12 11 11 10 10 10 9 6 2 -2 -5 -4 0 4 6 8 9 9 8 7 7 7 7 6 5 2 -2 -7 -8 -7 -4 -1 3 6 7 7 6 6 6 7 8 10 11 10 10 9 8 7 7 7 8 10 11 11 10 9 8 7 6 5 5 5 5 5 5 5 6 8 9 10 10 10 11 12 12 11 11 10 10 10 11 11 11 11 11 11 11 13 13 13 13 13 11 10 9 8 7 7 7 7 8 9 9 9 9 10 10 10 10 11 11 11 11 12 13 15 16 17 20 22 22 19 13 9 6 5 6 6 7 8 8 9 nan
nan 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 5 -2 -8 -9 -5 2 6 9 10 12 14 16 16 17 17 15 13 12 11 11 11 11 10 10 10 9 9 8 8 10 11 11 10 10 10 10 10 9 7 6 5 6 9 12 14 15 15 14 12 9 7 7 7 7 6 5 3 0 -2 -3 -3 -2 -1 0 1 1 2 4 7 9 10 10 9 8 7 7 7 7 7 8 10 11 12 12 11 10 8 5 3 2 2 4 5 7 7 8 9 10 12 12 10 8 9 10 11 11 11 10 10 10 10 11 11 10 9 9 8 9 10 10 11 12 11 9 9 8 7 7 7 7 7 8 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 13 13 14 13 8 3 -3 -5 -5 -2 0 3 5 7 7 nan
nan 11 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 10 10 9 9 9 7 3 -4 -8 -6 -1 4 8 9 10 11 13 16 20 21 20 16 13 12 11 11 11 10 10 10 10 9 8 7 8 9 9 9 9 10 10 10 9 9 9 10 11 13 17 19 20 20 20 17 12 9 8 8 7 7 6 6 5 4 4 5 5 4 3 1 -1 -2 1 4 8 10 11 9 7 5 4 5 7 8 9 10 12 13 12 11 9 7 5 3 3 3 5 6 8 9 10 11 13 14 14 12 10 9 9 10 11 11 11 10 10 10 10 10 9 8 7 7 7 8 8 8 10 10 9 9 9 9 8 8 7 7 8 9 10 11 11 12 12 11 11 11 11 11 11 12 12 12 11 10 10 10 9 6 2 -0 -1 -0 1 1 3 5 6 7 8 nan
nan 11 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 8 6 0 -6 -7 -4 1 6 9 10 10 10 12 16 21 24 22 17 13 12 11 10 10 10 10 10 10 9 8 7 8 8 8 8 9 10 11 10 9 9 9 10 11 14 16 16 16 14 12 10 10 10 11 12 11 9 8 7 7 7 8 9 9 9 8 6 4 4 5 6 5 4 4 4 3 3 4 6 8 8 10 11 12 11 9 7 5 4 4 5 7 9 11 11 11 11 12 13 14 13 13 12 11 11 10 10 10 10 10 10 10 10 9 7 6 5 5 6 7 8 8 8 9 9 9 9 10 9 8 8 8 8 9 10 11 11 12 13 12 12 12 11 11 11 11 11 12 11 10 8 8 6 3 -1 -2 -1 2 5 6 6 6 7 8 8 8 nan
nan 11 10 9 8 8 9 9 10 10 10 10 10 10 10 9 10 10 9 9 9 8 4 -3 -7 -6 -3 2 6 9 10 10 10 12 15 20 24 23 18 14 12 11 10 9 10 10 10 10 9 8 8 8 8 8 8 9 10 10 9 9 9 9 10 10 11 11 9 5 0 -1 1 6 11 15 15 14 13 11 9 9 8 9 9 10 10 10 10 10 11 11 9 6 2 -0 -0 1 3 5 7 8 8 9 10 9 8 6 5 4 5 7 9 11 12 12 11 10 11 12 12 11 10 11 11 12 11 11 11 10 9 8 8 7 7 5 4 3 4 5 6 7 7 8 8 9 8 8 8 8 8 8 9 9 10 11 11 11 12 13 13 12 12 11 11 11 10 10 11 11 10 9 8 5 1 -3 -5 -4 -0 3 5 6 7 7 8 8 9 9 nan
nan 10 9 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 10 10 9 8 2 -5 -7 -5 -2 3 7 9 10 10 10 11 14 19 22 22 18 15 13 11 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 7 2 -5 -8 -6 -0 7 13 15 16 16 16 15 13 11 11 10 10 11 11 12 14 16 18 18 16 12 8 4 2 2 3 5 6 7 8 8 8 6 5 5 4 4 6 8 9 9 8 6 7 8 9 10 9 8 8 9 9 10 10 11 10 9 8 7 7 6 5 4 4 6 7 8 8 8 8 8 9 9 8 7 7 6 7 9 10 10 11 11 11 11 12 12 12 12 11 10 10 10 10 10 11 10 11 11 10 7 2 -0 0 2 5 7 8 8 8 9 9 9 10 10 nan
nan 8 8 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 7 1 -4 -5 -4 -1 4 7 9 10 10 10 10 13 16 20 21 19 16 13 12 11 11 10 10 10 10 9 9 9 9 9 8 7 7 7 7 7 8 9 9 9 9 8 6 1 -3 -2 3 10 15 17 15 15 16 17 16 16 15 14 14 14 15 16 18 21 24 25 24 20 16 11 8 6 5 5 5 5 6 7 8 7 6 5 4 4 4 5 6 5 5 5 6 8 10 10 10 8 8 8 8 7 7 7 8 8 8 9 9 9 8 7 7 9 10 12 11 11 10 9 9 8 7 6 6 6 7 9 10 11 11 11 11 10 10 11 11 11 11 10 10 10 9 10 10 10 11 11 12 12 12 12 12 13 13 13 12 11 10 10 10 10 10 10 11 nan
nan 8 8 8 9 10 10 10 10 10 10 10 9 9 8 8 9 9 10 10 10 8 3 -1 -3 -2 0 4 7 9 10 10 10 10 12 14 17 21 21 18 15 13 12 10 10 10 10 10 10 10 9 9 9 8 7 7 7 7 8 8 8 9 9 9 8 7 6 7 12 17 21 21 18 15 13 13 14 14 16 18 19 19 21 23 25 28 31 33 31 26 19 13 10 9 9 9 9 8 7 6 6 6 7 8 8 7 6 6 7 7 7 8 9 12 14 15 13 11 10 10 10 9 8 6 6 5 7 9 11 11 10 8 7 8 9 10 11 11 11 9 8 6 5 5 6 7 8 9 11 12 11 11 11 10 10 11 11 11 12 11 11 10 9 9 9 10 10 11 11 12 13 16 20 23 22 19 16 13 12 11 11 11 11 11 11 11 nan
nan 9 9 9 10 11 11 11 10 10 9 9 9 9 8 8 9 9 10 10 10 9 5 0 -3 -3 0 5 7 9 10 10 10 10 11 12 16 21 23 21 18 14 11 9 9 10 11 11 10 10 9 8 7 7 6 6 7 8 8 8 8 8 8 8 8 8 10 13 18 20 20 18 15 12 11 10 10 11 13 16 18 21 24 27 30 33 34 33 27 21 16 13 12 13 14 15 15 13 11 9 7 7 10 11 11 11 10 10 10 11 12 13 15 16 16 15 13 11 11 11 10 9 8 7 6 7 9 12 12 10 7 6 7 7 7 7 8 8 8 7 5 5 5 7 8 9 10 12 13 13 12 12 11 10 11 11 11 11 12 11 11 10 10 9 10 10 11 11 12 12 13 16 19 19 17 14 12 11 11 11 11 11 10 10 11 11 nan
nan 9 9 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 10 10 10 9 4 -1 -4 -3 0 5 8 9 10 10 10 10 11 11 16 23 26 24 20 14 9 9 10 11 11 11 11 10 8 6 6 6 6 7 7 8 9 9 9 8 8 8 8 9 10 12 13 13 12 10 10 9 8 7 7 7 9 11 14 17 21 23 26 27 26 22 17 14 13 15 17 19 21 22 22 20 18 16 16 17 18 17 15 13 12 12 12 12 13 14 14 13 11 9 9 9 10 10 9 8 8 8 7 9 10 10 9 6 5 6 7 8 8 8 8 7 7 6 6 7 9 11 12 12 13 14 14 13 13 12 11 11 10 10 10 11 11 11 11 11 10 10 10 10 11 11 12 12 13 14 13 10 9 7 7 9 10 11 11 10 10 10 10 11 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 9 3 -3 -4 -3 0 5 8 9 10 10 10 10 11 12 19 26 28 26 20 12 9 10 11 12 12 11 10 9 7 6 7 7 7 7 7 8 9 10 9 9 9 9 8 8 8 9 9 7 6 4 3 3 3 4 5 6 8 10 12 15 17 19 19 19 15 12 10 10 12 15 18 21 23 24 23 22 22 22 24 25 23 19 15 13 12 12 12 12 12 11 10 8 7 6 7 8 8 8 7 7 8 8 9 10 10 9 7 6 7 9 10 10 10 10 10 9 9 10 11 13 14 14 13 14 15 15 15 14 13 12 11 10 9 8 9 10 10 10 11 11 10 10 10 10 10 10 11 12 12 12 10 9 9 9 10 11 11 11 11 11 11 11 11 11 nan
nan 9 9 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 8 2 -2 -4 -3 1 5 8 9 10 10 10 10 11 15 22 28 29 25 16 10 9 11 12 13 12 11 9 8 7 7 7 7 6 6 7 8 9 9 9 9 9 9 8 8 8 8 8 6 2 -3 -4 -3 -1 3 5 8 10 12 14 15 16 17 16 14 11 10 9 10 12 14 16 18 19 18 16 16 16 18 19 19 17 14 12 11 11 11 11 11 11 10 10 8 6 5 6 7 7 6 6 7 8 9 10 11 12 12 11 11 12 13 13 12 12 13 13 13 14 15 17 17 17 15 14 14 15 15 15 14 13 12 10 9 8 8 9 9 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 13 16 16 15 13 12 12 12 12 12 11 11 12 nan
nan 10 10 10 10 10 9 8 9 9 10 10 10 10 10 10 9 9 9 9 9 6 1 -3 -6 -4 1 5 8 9 10 10 10 11 12 19 26 30 28 21 13 9 10 11 12 12 10 9 8 7 6 6 6 5 5 6 8 9 9 8 8 8 8 8 7 7 8 9 9 6 -1 -6 -7 -5 -1 3 6 9 12 14 15 16 16 16 15 13 12 11 11 12 14 14 15 14 12 9 6 4 4 6 7 8 8 8 8 9 9 10 10 9 9 8 6 4 2 1 2 3 4 5 6 8 9 10 12 13 15 16 17 17 16 16 15 14 14 15 16 17 17 17 17 17 16 15 15 14 14 14 14 14 12 11 10 9 8 9 9 9 10 11 10 10 10 10 10 10 10 11 11 11 11 11 13 16 18 20 18 16 14 13 13 13 13 12 12 12 nan
nan 10 10 10 10 10 9 9 9 9 10 10 10 11 10 10 9 8 8 9 9 5 -0 -4 -6 -4 1 5 8 9 10 10 10 12 16 23 30 29 24 17 11 10 10 11 12 10 8 6 5 5 6 6 6 6 7 9 9 8 8 8 8 8 8 7 7 8 9 9 9 3 -3 -6 -5 -3 1 5 8 12 14 15 15 15 15 15 15 14 13 13 13 13 13 13 12 9 5 1 -4 -7 -6 -3 -1 1 3 3 4 4 5 6 7 5 3 -0 -3 -6 -7 -5 -3 -2 -2 1 3 6 9 11 14 16 17 17 18 18 17 17 16 16 16 17 16 16 15 13 12 12 12 13 13 13 13 13 13 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 13 15 17 20 20 18 16 15 14 14 14 13 13 13 nan
nan 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 8 8 8 9 9 6 2 -1 -4 -3 1 4 7 9 10 10 10 13 19 27 29 25 18 13 10 10 11 12 11 8 5 4 4 6 8 8 9 10 11 10 9 7 7 8 8 8 7 7 7 8 9 9 7 0 -4 -4 -3 1 5 9 12 16 17 16 16 16 16 15 15 14 13 12 12 12 12 11 10 6 3 -1 -3 -3 -2 -1 0 1 1 1 -0 -1 -0 0 -1 -3 -6 -8 -9 -9 -7 -5 -3 -3 -4 -3 -1 3 6 9 11 13 14 15 16 16 16 15 15 15 16 15 14 12 11 9 9 9 10 11 11 11 11 12 12 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 12 12 11 12 12 13 16 19 21 20 19 17 15 15 15 14 14 14 nan
nan 9 9 10 10 10 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 5 1 -2 -2 0 3 6 8 9 9 11 14 21 26 25 19 14 11 10 11 11 11 10 7 5 5 6 9 11 12 12 12 11 9 7 7 7 8 7 6 6 7 8 8 9 9 5 -1 -4 -4 -0 5 9 12 16 20 20 18 17 17 16 15 13 12 11 11 11 10 10 10 9 8 8 9 9 11 11 10 9 8 6 4 2 0 -1 -2 -4 -6 -7 -5 -3 -0 2 4 4 3 2 1 2 3 4 4 4 6 11 13 15 14 12 12 12 12 12 11 11 10 9 8 9 9 10 10 10 10 10 10 11 12 12 11 11 11 10 10 10 11 11 11 11 10 10 10 10 11 11 12 12 12 12 12 12 12 15 18 20 21 20 18 17 16 16 15 15 15 nan
nan 9 10 10 10 10 9 10 10 10 10 10 10 10 9 8 8 8 8 8 9 9 7 2 -1 -2 -1 1 5 8 9 9 11 14 20 24 21 17 14 12 11 10 10 10 9 8 7 7 9 12 12 12 12 11 9 8 7 6 4 3 3 3 5 7 8 9 10 8 3 -2 -4 -3 2 7 10 14 18 23 23 21 19 17 15 12 11 11 10 10 10 9 9 9 10 12 14 17 18 19 20 19 17 15 12 9 6 5 4 3 2 2 3 5 7 9 10 11 10 10 10 9 9 7 4 3 4 9 14 16 15 12 10 9 9 10 10 9 10 9 9 9 9 9 10 10 10 9 9 10 11 12 12 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 15 17 18 21 21 20 19 18 17 17 16 16 nan
nan 10 11 11 10 10 10 10 10 10 10 11 11 10 9 8 9 8 8 8 9 9 7 4 0 -2 -2 0 4 7 8 9 10 14 19 22 20 18 16 14 11 9 8 8 8 8 8 8 10 11 10 10 9 9 8 8 7 4 0 -1 -1 1 5 8 9 10 10 7 2 -3 -4 -1 5 9 12 16 22 27 26 22 18 15 13 11 10 10 10 9 9 9 9 10 11 12 14 16 18 20 22 22 20 16 13 10 8 8 9 10 10 10 11 12 12 12 13 13 14 15 15 14 12 10 8 8 12 17 19 18 13 10 9 8 9 10 10 10 10 10 9 9 9 9 9 10 10 9 9 10 12 13 15 15 14 12 11 10 10 10 10 11 11 12 12 11 11 12 12 12 13 13 13 14 14 14 15 15 17 20 21 21 21 21 21 21 19 18 nan
nan 11 11 10 10 10 10 10 10 10 11 11 11 10 9 9 9 9 9 8 9 9 8 5 1 -2 -3 -1 3 6 8 9 10 13 18 21 21 20 17 13 10 8 8 8 8 7 8 9 10 10 10 10 10 11 11 11 9 5 1 1 1 3 7 10 10 10 9 4 -1 -5 -4 2 8 11 14 17 24 27 24 20 16 13 11 11 10 10 9 9 8 9 10 11 12 13 13 14 16 18 19 18 16 14 13 12 12 14 16 16 16 15 15 15 15 15 17 18 20 21 19 16 13 12 11 13 16 18 18 14 10 8 8 8 9 11 11 11 10 10 9 9 10 10 10 10 10 9 10 12 13 15 16 15 13 11 10 9 10 10 10 11 11 11 11 11 11 12 12 12 13 14 14 15 15 15 14 14 15 17 20 24 26 29 29 27 25 23 nan
nan 10 10 9 9 10 10 10 10 10 10 11 11 11 10 9 9 9 9 9 9 9 8 7 2 -2 -3 -2 1 5 7 9 9 12 17 20 22 21 17 12 9 8 8 8 8 8 10 11 11 11 11 12 14 14 15 14 13 9 8 7 6 6 8 9 8 6 3 -2 -5 -6 -1 6 11 13 14 18 22 23 21 17 13 11 10 10 10 10 9 9 9 10 12 13 14 14 13 13 14 13 12 11 10 11 13 15 18 20 21 21 19 19 19 20 21 23 25 26 27 26 21 16 13 12 12 14 16 18 18 14 11 9 9 10 12 12 12 11 10 10 10 10 10 10 10 10 9 9 11 13 14 15 15 13 11 10 10 10 10 10 10 11 11 11 10 11 11 11 12 13 13 14 15 16 16 15 13 13 13 14 17 22 27 30 30 29 29 29 nan
nan 10 9 8 8 9 10 9 9 9 9 10 12 12 11 10 10 9 9 9 8 9 9 8 3 -1 -3 -3 0 5 7 9 9 11 15 20 23 22 16 12 10 9 9 9 9 10 11 12 12 12 12 14 16 17 17 17 15 13 12 11 8 7 7 5 3 1 -3 -6 -6 -2 5 10 13 14 14 16 19 20 18 15 11 11 11 11 11 10 9 9 10 12 13 14 14 14 14 13 11 9 7 6 7 9 11 14 16 18 18 18 18 19 21 23 26 28 28 27 26 23 18 15 13 13 14 17 21 23 22 19 15 13 13 14 14 13 11 10 9 9 10 10 10 10 9 8 8 9 11 12 12 13 11 10 9 10 10 11 11 11 11 10 10 10 10 11 11 11 12 12 12 13 14 15 14 13 12 12 11 12 15 18 20 22 23 24 27 30 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
3 4 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 0 0 0 0 0 0 0 0 0 0 0 2 9 14 16 18 23 30 41 54 67 76 82 85 92 103 119 137 151 156 161 158 150 135 117 100 91 93 109 174 238 404 618 773 885 1030 1117 1042 954 825 697 585 483 404 376 384 413 448 488 524 553 569 567 550 528
3 3 4 3 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 3 8 13 17 21 26 33 42 57 73 84 97 110 123 138 157 159 166 174 174 161 140 123 114 104 101 104 107 114 135 190 301 432 646 845 987 1089 1065 976 854 737 592 466 411 406 419 441 461 481 516 545 567 581
2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 17 21 25 31 35 50 63 78 95 111 120 129 143 158 176 193 192 171 140 118 104 100 104 110 111 106 92 77 76 126 239 384 549 779 1002 1093 1077 1046 902 726 600 530 481 459 453 443 458 489 522 556
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 3 6 11 16 21 26 31 35 41 51 66 81 91 92 93 98 110 125 142 149 140 126 117 103 93 94 101 106 106 101 89 72 75 96 130 175 261 502 724 895 1060 1094 1007 883 778 671 594 553 508 482 481 495 523
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 6 9 14 18 22 26 30 38 45 52 57 60 57 53 47 42 45 54 64 69 78 88 86 81 80 82 87 86 89 88 83 78 74 71 72 91 158 263 410 604 810 984 1053 1043 962 886 814 723 634 580 564 570
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