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 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 6 5 7 9 10 9 8 7 8 8 9 8 8 8 7 7 6 5 6 7 7 8 8 8 8 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 8 8 7 7 7 7 7 8 8 9 10 10 11 12 14 15 16 16 16 16 15 14 13 13 14 14 14 14 13 13 13 12 12 12 12 11 11 11 10 10 11 11 11 11 10 9 9 9 10 11 11 11 11 11 11 11 11 12 11 11 10 11 12 13 14 14 14 13 13 12 12 11 11 10 10 10 9 9 10 9 9 9 9 8 8 8 7 7 7 7 8 8 9 9 9 9 9 nan
nan 7 8 8 8 9 8 8 7 7 7 7 7 7 7 7 6 6 6 7 7 8 9 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 8 7 6 8 10 9 8 7 7 7 7 8 8 8 8 8 6 5 5 5 7 8 8 7 7 8 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 6 5 6 6 7 8 9 10 11 12 12 13 15 16 17 18 19 20 20 20 19 18 18 17 17 17 17 17 16 16 15 15 14 14 13 12 11 10 10 10 10 10 10 10 9 8 8 9 10 12 13 13 12 12 11 11 11 11 12 12 12 12 13 13 13 12 12 12 12 12 13 13 12 12 11 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 7 8 8 9 9 9 nan
nan 7 8 9 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 9 9 8 8 7 7 7 7 7 7 7 7 8 9 9 9 9 8 7 7 8 9 8 7 7 7 7 7 7 8 9 9 8 7 6 6 6 7 7 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 7 6 6 6 7 8 9 10 11 12 12 13 14 16 17 19 20 21 23 24 24 24 23 23 23 23 23 22 22 21 21 20 19 19 18 17 16 14 13 12 11 11 11 11 10 9 9 8 9 10 11 13 13 13 13 12 12 12 11 11 11 11 11 12 12 12 11 11 11 11 11 12 13 13 13 13 12 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 8 8 9 9 nan
nan 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 6 6 6 7 9 10 10 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 7 7 7 6 6 7 7 7 7 7 7 8 8 8 8 7 7 7 7 6 6 7 7 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 8 8 7 8 9 9 9 10 10 11 12 13 14 16 17 19 21 22 23 24 25 26 27 27 28 28 28 27 27 27 26 26 25 24 23 21 20 18 17 16 14 13 13 12 12 11 10 10 10 11 12 12 13 13 12 13 14 15 15 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 8 8 nan
nan 8 9 8 8 7 7 8 9 8 8 8 8 8 8 8 8 7 7 7 7 7 9 10 10 9 8 8 8 8 8 8 9 9 9 9 8 7 7 7 7 7 6 6 5 6 7 8 7 7 6 6 7 7 8 8 8 7 7 6 6 7 7 7 7 7 7 6 6 7 7 8 8 8 8 8 8 8 8 9 9 9 8 9 9 9 9 9 8 9 10 10 9 9 10 10 11 12 14 16 17 19 20 21 21 22 23 25 27 28 29 30 30 29 30 30 30 29 29 27 26 24 22 21 20 19 18 16 15 14 13 13 13 13 13 13 13 13 13 13 13 14 16 17 17 17 16 15 14 14 13 12 12 13 12 11 11 10 10 10 10 11 11 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 nan
nan 10 10 9 8 7 8 9 9 8 7 6 7 7 7 7 7 6 7 8 8 8 9 9 9 8 8 8 8 7 7 7 8 9 9 8 7 7 7 7 7 6 6 6 6 6 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 8 7 6 5 6 6 5 5 6 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 10 9 9 9 9 9 9 10 12 13 14 15 16 16 17 17 19 21 22 24 25 26 26 26 27 29 29 29 29 28 27 25 24 22 21 20 19 18 17 16 15 14 14 14 15 15 15 15 15 15 15 14 14 15 16 16 16 16 16 16 15 15 14 13 13 12 11 11 11 11 11 12 12 13 13 13 13 12 12 11 11 10 10 10 10 10 10 11 11 11 10 10 10 9 8 8 nan
nan 10 10 9 8 7 8 9 9 9 7 6 6 7 7 7 6 6 7 8 9 8 8 8 8 8 8 8 7 7 7 7 8 9 9 8 8 8 7 7 6 6 6 6 7 7 7 8 8 8 7 6 6 6 6 6 6 6 7 7 8 8 8 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 9 9 10 9 9 9 7 6 6 7 9 10 10 10 11 11 12 12 14 15 15 16 17 18 19 20 22 23 24 24 24 24 24 22 21 20 19 18 17 16 16 15 15 14 14 14 15 16 16 16 15 14 12 11 11 11 12 12 12 13 14 14 14 13 13 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 11 10 10 10 10 10 11 11 11 11 11 11 10 10 9 nan
nan 9 9 8 8 7 7 8 9 9 8 8 7 8 8 7 6 6 6 7 8 8 7 7 7 8 8 8 8 8 8 8 9 9 10 10 10 9 8 7 7 7 7 7 7 7 8 9 9 9 8 7 7 6 6 6 7 7 7 7 8 8 8 7 7 7 7 6 5 6 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 6 7 8 9 10 9 8 6 4 3 2 2 3 5 6 6 6 6 6 6 6 7 8 8 9 10 11 11 12 14 16 17 18 18 19 18 17 15 15 15 14 14 14 13 12 11 11 11 13 14 14 13 11 10 8 7 7 8 8 8 9 9 10 11 11 12 11 11 10 10 11 11 12 12 12 12 13 13 13 14 14 13 13 12 12 11 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 9 9 9 8 7 7 7 8 9 9 9 8 8 8 7 7 6 6 6 7 8 8 8 8 8 8 9 9 9 8 8 8 9 10 10 10 9 8 7 8 8 8 8 7 8 8 9 9 9 8 8 7 8 9 8 8 8 8 8 8 8 8 8 9 9 8 7 6 5 6 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 6 6 7 8 8 8 7 5 3 1 0 -0 -0 1 2 3 3 3 2 2 1 2 2 2 3 3 3 3 4 5 6 8 10 11 12 12 12 11 10 10 11 11 11 11 10 8 7 7 7 8 9 9 9 7 6 6 6 6 7 8 8 8 8 9 10 10 11 11 10 10 9 10 10 11 11 11 11 11 12 13 13 14 13 13 12 12 11 11 10 10 10 10 10 11 11 11 11 12 11 11 nan
nan 9 9 9 8 7 7 7 7 9 9 9 9 8 8 7 7 7 7 7 8 9 9 8 8 8 9 9 9 9 8 7 7 8 9 9 10 9 8 8 8 8 8 8 7 7 7 8 8 8 7 7 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 8 7 6 6 7 7 7 7 7 7 8 8 8 8 8 7 7 7 6 6 7 7 7 7 6 5 3 2 1 0 0 -0 -0 0 1 1 1 -0 -0 -0 -1 -1 -1 -2 -2 -2 -1 -1 1 3 5 6 7 7 8 9 9 9 9 9 10 10 9 8 8 6 5 5 6 6 6 6 6 7 7 7 8 8 8 8 8 8 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 12 13 13 13 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 nan
nan 8 8 8 8 8 7 7 8 9 10 10 9 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 6 6 7 9 9 9 8 8 8 8 8 8 7 7 6 7 7 7 6 6 7 7 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 8 8 9 8 8 7 7 7 7 7 7 7 8 7 7 6 5 3 2 2 2 1 0 -1 -1 0 1 1 1 0 -0 -1 -2 -3 -4 -3 -3 -2 -1 0 2 4 5 6 7 8 10 11 11 11 11 11 11 10 10 10 9 8 7 6 6 6 7 8 9 9 9 8 8 8 8 8 8 9 9 9 10 11 11 12 12 11 10 10 10 10 10 10 11 12 13 14 13 12 12 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 nan
nan 8 8 8 9 9 8 8 8 8 8 9 9 8 8 7 8 8 8 8 8 9 8 8 8 8 8 8 8 8 7 7 6 7 8 9 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 7 7 7 7 7 8 9 10 9 9 8 8 8 8 9 9 9 10 9 8 7 7 7 8 8 8 9 9 8 8 7 7 7 7 7 8 8 8 8 8 7 6 5 4 3 2 1 0 -1 -0 1 3 4 4 3 1 -1 -3 -4 -3 -1 0 1 1 2 3 4 5 7 9 11 13 14 14 14 14 14 14 14 14 14 13 12 10 8 8 8 9 9 10 10 9 7 7 7 8 8 8 8 8 8 9 10 10 11 11 10 10 10 10 10 10 11 11 12 13 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 8 8 8 9 9 8 8 8 8 7 7 7 7 8 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 7 8 7 7 7 8 9 10 9 9 8 8 8 8 8 9 9 10 10 9 7 7 7 8 8 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 4 3 2 1 0 1 2 4 6 6 4 2 0 -1 -0 1 3 4 5 4 5 5 6 8 9 11 14 15 16 16 16 16 16 16 17 17 17 16 14 13 11 11 12 12 12 11 10 9 8 7 7 8 8 7 7 7 8 8 8 9 9 9 9 9 10 10 10 10 11 11 11 12 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 8 8 8 8 8 7 7 6 6 7 7 6 6 7 9 11 11 9 9 8 8 8 8 8 8 8 8 8 7 7 7 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 8 8 8 8 8 9 9 9 9 9 8 7 8 8 9 10 10 10 8 7 7 8 7 7 7 7 7 8 9 8 8 8 8 7 6 5 3 1 0 1 2 4 6 6 5 4 4 4 5 5 6 6 6 6 7 8 10 11 12 13 14 15 15 15 15 16 16 16 16 16 16 16 15 14 14 14 14 13 13 12 12 11 10 9 9 9 8 7 7 7 7 7 7 7 8 8 9 9 10 10 11 10 10 11 11 11 12 11 11 11 11 10 10 11 11 10 10 10 10 11 11 11 11 11 11 nan
nan 10 10 9 9 8 8 8 8 7 7 6 7 7 7 7 7 9 11 12 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 8 8 8 8 7 6 6 7 8 9 9 8 8 8 7 7 6 5 3 -0 -1 0 3 5 6 6 6 6 7 8 8 7 6 6 7 8 10 12 13 14 14 14 14 14 14 14 14 14 13 12 12 12 13 13 14 14 13 12 12 11 12 12 13 12 11 11 10 10 9 8 8 8 8 8 7 8 8 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 nan
nan 10 10 10 9 8 8 8 8 7 7 7 7 7 7 7 9 10 11 10 9 8 8 8 8 8 8 7 7 8 8 8 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 8 8 8 8 8 8 8 8 8 7 8 8 9 8 9 9 9 10 9 8 7 8 8 7 7 7 7 9 10 9 8 8 7 7 7 7 7 6 4 0 -2 -2 1 4 5 6 7 7 8 8 7 6 6 6 7 8 10 12 13 13 13 13 13 13 12 12 11 10 9 8 8 8 9 10 10 10 9 8 8 8 9 11 12 12 11 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 nan
nan 10 10 10 9 8 8 8 8 8 7 8 8 7 7 8 10 11 10 9 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 8 8 7 7 7 8 7 7 8 8 8 8 8 8 8 8 8 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 8 7 7 7 7 7 7 8 9 10 9 7 6 6 6 6 6 7 7 6 2 -1 -2 0 3 5 6 7 7 8 7 6 5 5 5 6 7 9 11 12 12 12 12 12 11 10 9 8 7 6 5 5 5 6 6 5 5 5 5 5 5 6 8 8 8 8 8 8 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 10 10 nan
nan 9 10 10 9 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 8 8 8 8 8 8 7 7 8 8 8 8 8 9 9 8 8 7 7 7 8 8 8 8 8 8 8 7 8 8 8 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 9 10 10 10 9 8 7 7 7 7 8 9 9 9 9 8 7 6 5 5 5 6 6 7 6 4 1 -1 -0 2 4 5 7 8 8 7 5 4 3 3 4 5 7 9 11 12 12 11 10 9 7 6 5 5 4 4 4 4 4 3 3 3 3 4 4 4 5 5 6 6 6 6 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 12 11 11 11 10 10 10 11 10 9 9 9 10 nan
nan 9 10 10 9 8 8 8 8 8 8 8 8 7 7 8 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 7 8 8 9 10 10 10 9 9 9 8 7 7 8 9 10 10 10 9 8 6 6 5 5 5 6 6 6 6 6 4 1 1 1 3 5 7 8 8 6 4 3 2 2 2 4 6 9 10 11 11 9 8 6 5 5 4 4 4 4 4 4 3 4 4 4 5 6 6 5 5 5 5 5 6 6 6 6 6 6 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 10 9 10 11 nan
nan 9 10 10 9 8 8 7 7 7 7 7 8 8 8 9 10 11 10 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 7 8 8 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 7 7 6 7 9 10 10 10 9 8 7 6 5 5 6 6 7 7 7 6 5 4 2 2 3 5 8 9 7 4 2 1 1 2 2 4 7 9 10 10 9 8 6 5 4 4 4 4 4 4 4 4 4 5 6 6 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 10 10 10 10 11 11 11 11 11 12 12 12 12 13 13 13 13 14 14 13 13 13 13 12 11 10 10 12 13 nan
nan 9 10 10 9 8 8 7 7 7 7 8 8 8 8 9 11 11 10 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 6 5 5 6 7 8 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 9 10 10 10 10 11 10 9 9 9 8 8 7 6 7 8 9 10 10 9 8 7 6 5 5 6 7 8 8 7 6 6 5 4 3 4 6 8 8 5 3 0 0 1 2 3 5 7 8 9 9 8 7 5 4 3 3 3 3 3 4 4 5 6 6 7 8 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 12 12 12 12 12 13 13 13 13 14 14 15 15 16 16 15 15 15 15 14 14 13 14 15 16 nan
nan 10 10 10 9 9 8 8 7 7 7 8 8 8 8 9 11 10 9 9 8 8 8 8 8 8 8 8 8 9 9 8 7 7 7 8 8 9 9 9 9 9 9 9 9 9 7 6 5 5 6 7 9 10 10 9 8 8 8 8 8 8 9 9 8 8 8 8 9 10 11 11 11 11 11 11 10 9 8 8 8 8 8 8 9 10 10 10 9 8 7 6 5 5 6 8 9 8 7 6 6 6 6 5 6 7 7 6 4 1 -1 -1 1 2 3 4 6 8 8 8 7 5 4 2 2 2 2 3 3 4 5 6 7 7 8 9 10 11 11 11 11 11 11 10 9 9 8 8 9 9 9 9 9 9 9 10 11 11 11 12 12 12 12 12 13 13 13 13 14 14 15 15 15 16 16 16 16 16 16 16 16 16 16 16 16 16 nan
nan 9 10 10 10 9 8 8 8 7 7 7 7 7 8 10 11 11 10 9 9 8 8 8 7 8 8 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 11 10 9 8 7 6 5 6 8 9 10 10 9 9 9 9 9 9 9 9 9 8 7 7 7 9 10 11 12 12 11 11 11 10 8 8 7 8 8 9 9 10 11 11 10 9 8 7 6 5 5 7 9 9 8 7 6 7 7 6 7 7 7 7 6 4 2 -0 -1 0 1 1 3 4 6 7 6 5 4 2 1 1 1 2 3 4 5 6 7 7 9 10 11 12 12 12 12 11 11 10 9 9 8 8 8 9 8 8 8 9 9 9 9 10 10 11 11 11 11 12 12 12 12 12 12 13 13 14 14 14 15 15 15 16 16 16 16 17 17 17 17 16 16 nan
nan 9 10 10 10 9 9 8 8 7 6 6 7 8 9 11 11 11 10 9 9 9 8 7 7 8 8 7 6 6 6 6 7 7 8 8 9 8 8 8 10 11 12 13 12 10 8 7 7 6 7 8 10 10 10 10 9 9 10 10 10 10 9 8 7 7 7 7 8 9 10 12 12 12 11 10 9 8 7 7 7 8 9 10 11 11 10 9 9 8 7 6 6 6 8 10 10 8 7 7 7 7 7 7 8 7 7 6 6 4 2 1 -1 -2 -1 0 2 4 5 5 4 2 1 1 1 2 3 4 5 6 7 8 9 11 12 12 12 12 12 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 13 14 14 15 16 17 16 16 15 14 nan
nan 9 9 10 10 9 9 8 8 7 6 6 7 9 10 10 11 10 10 9 9 9 8 7 7 7 7 6 5 5 6 7 7 8 9 9 9 8 8 8 10 11 12 13 12 10 9 8 7 7 8 9 10 10 10 9 9 10 10 11 10 10 10 9 8 8 8 8 7 8 10 12 13 11 10 8 8 8 7 7 7 8 9 11 11 11 10 9 8 8 7 7 7 8 10 10 9 9 8 8 7 7 7 8 8 8 8 7 7 6 6 4 1 -2 -3 -2 -1 1 2 2 3 2 2 1 2 2 3 4 5 7 8 9 11 12 12 13 13 13 12 11 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 8 8 8 8 9 10 10 11 12 13 14 14 15 14 13 13 nan
nan 9 9 9 9 9 9 8 8 7 7 7 8 9 9 9 10 10 10 9 8 8 8 7 7 7 6 6 5 6 7 8 8 9 10 10 9 8 7 8 9 10 11 11 10 10 9 8 7 8 8 9 10 10 9 9 9 10 11 11 11 11 11 11 11 10 10 9 8 9 11 12 11 10 8 7 7 8 8 8 9 10 11 12 12 11 10 9 8 8 8 8 9 10 11 10 9 9 9 8 8 7 8 8 9 9 8 8 8 9 8 7 4 2 -1 -3 -4 -3 -1 0 2 2 2 2 2 2 3 5 6 8 9 11 12 13 14 14 14 13 12 11 10 9 8 8 8 8 8 7 8 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 7 7 7 8 8 9 9 10 11 11 12 12 13 12 12 nan
nan 9 9 9 9 9 9 9 8 8 7 8 9 9 8 8 9 10 9 8 8 7 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 9 7 7 7 8 9 10 9 8 8 8 8 9 10 9 9 9 8 9 9 10 11 11 11 11 11 11 11 10 10 10 10 10 11 10 8 7 7 7 7 7 8 9 10 11 12 12 11 10 9 8 7 7 8 10 11 12 11 10 9 9 9 8 8 8 8 9 10 10 9 10 10 10 10 9 8 6 3 -1 -4 -5 -3 -1 2 3 2 1 1 2 3 5 7 9 10 12 14 15 16 16 14 13 12 10 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 5 5 5 4 4 5 5 5 5 5 6 6 6 7 7 7 8 8 9 9 10 10 11 11 11 11 12 nan
nan 9 10 9 9 9 10 9 9 9 8 8 8 8 7 8 9 10 9 8 7 7 7 7 8 8 9 9 9 9 9 9 10 11 11 11 11 10 9 8 8 8 9 9 8 7 7 7 8 9 10 9 8 8 8 8 9 10 11 11 11 11 10 10 10 9 9 9 9 10 10 7 5 5 6 7 7 7 8 9 10 11 12 11 10 9 7 6 6 7 8 9 11 11 11 11 10 9 9 9 8 9 9 10 10 10 10 10 10 10 9 9 8 8 6 3 -0 -2 -2 0 4 5 3 1 -1 -1 2 6 8 10 12 14 16 17 17 16 14 11 9 8 7 7 8 8 9 9 9 9 9 9 8 8 8 8 8 7 7 7 6 6 5 5 5 5 5 6 6 6 6 6 7 7 7 7 8 8 9 9 10 10 10 10 10 10 11 11 nan
nan 10 9 9 9 9 10 10 9 9 9 9 8 8 7 8 9 10 9 8 7 7 7 8 8 9 9 10 10 9 9 9 10 10 11 12 12 11 10 9 9 9 9 9 8 7 7 7 7 9 10 9 8 8 8 8 9 10 11 10 10 9 9 9 9 10 10 9 9 8 6 4 4 4 6 7 7 8 8 9 10 11 11 11 9 7 5 5 6 7 8 9 10 11 11 10 10 9 9 9 9 9 10 10 10 9 10 10 9 9 8 8 8 7 7 6 5 3 2 3 6 7 4 -2 -6 -4 2 7 9 11 13 15 16 17 16 14 12 9 8 7 7 8 8 9 10 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 9 9 9 10 9 9 10 10 10 11 nan
nan 9 9 9 8 9 9 9 10 10 9 9 8 8 7 8 9 10 10 9 8 7 7 7 8 9 9 9 9 9 8 8 8 9 10 11 11 10 10 10 10 10 10 9 9 8 7 7 7 8 9 9 9 8 9 9 10 10 10 9 8 8 8 9 10 10 10 10 8 5 2 2 3 5 6 7 8 8 9 10 10 11 11 9 8 6 5 5 6 7 8 9 10 10 10 9 8 8 8 8 8 9 9 9 8 8 8 8 8 7 7 7 8 8 8 8 7 6 5 5 6 6 2 -6 -10 -6 3 7 10 12 14 15 15 15 14 12 10 9 8 8 8 9 10 10 11 11 11 11 10 10 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 nan
nan 9 9 9 8 9 9 9 9 10 10 9 8 8 8 8 8 9 9 10 9 7 7 7 8 8 9 9 8 8 8 7 7 8 9 10 10 10 9 10 10 10 10 10 9 8 8 7 7 7 9 9 9 9 10 10 10 10 9 8 7 7 8 9 10 10 10 9 6 2 0 1 3 6 8 9 9 9 10 10 11 10 9 7 6 5 5 6 6 7 8 9 10 9 9 7 7 7 7 7 8 9 9 9 8 7 7 7 7 7 7 8 9 9 9 8 7 6 5 5 5 2 -3 -10 -10 -2 4 8 11 13 14 14 14 14 13 12 10 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 9 9 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 9 9 9 nan
nan 10 9 9 8 8 9 9 9 10 10 9 9 8 8 7 7 7 9 10 10 8 7 7 7 8 7 7 7 7 7 7 7 7 8 8 9 9 9 10 10 10 10 10 10 9 9 7 7 7 8 9 9 9 10 11 10 10 9 8 7 8 9 9 9 10 9 7 3 -0 0 2 5 9 10 9 9 9 9 10 10 9 7 5 4 5 6 6 6 7 8 10 10 9 8 7 6 6 6 7 8 8 9 8 7 7 7 7 7 7 7 9 10 10 10 8 7 5 5 5 3 -1 -8 -11 -5 3 8 10 12 13 14 14 14 14 12 11 10 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 nan
nan 10 10 9 8 8 9 9 9 10 9 9 9 9 8 8 7 7 9 10 10 9 8 7 7 7 6 6 7 7 7 7 7 7 7 8 8 9 10 10 10 10 10 10 10 10 9 8 7 7 7 8 8 8 9 10 11 10 10 9 8 9 9 9 9 8 7 5 2 0 2 5 9 12 12 10 9 9 9 10 10 8 5 4 4 5 6 7 7 8 10 10 10 9 8 7 6 6 7 8 8 8 8 8 7 7 6 6 7 7 8 9 10 10 10 8 7 5 5 4 2 -3 -8 -7 1 9 12 12 13 14 14 13 12 11 10 9 9 8 9 9 10 10 10 10 10 10 10 11 11 11 10 9 9 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 7 7 7 7 7 7 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 7 8 9 10 10 10 9 8 6 6 6 6 7 7 8 7 7 6 7 7 8 9 9 9 9 9 8 9 9 10 9 9 8 7 7 7 8 8 8 8 10 10 10 10 10 10 9 8 8 7 6 4 2 2 5 9 13 14 13 10 8 8 9 10 9 7 5 4 5 6 7 8 8 10 11 11 9 8 7 7 7 7 8 8 9 8 7 7 6 6 5 6 7 8 9 10 11 11 10 9 7 6 4 3 1 -1 -3 2 10 14 14 13 13 14 12 10 8 6 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 6 nan
nan 10 10 9 9 9 9 9 9 9 10 9 9 9 9 8 8 8 9 9 10 10 9 7 6 6 6 7 7 8 8 8 7 7 7 7 8 8 8 7 7 7 7 7 8 8 9 10 9 7 6 6 8 9 8 7 8 9 9 10 10 10 9 8 7 7 6 5 5 5 8 11 14 14 11 8 7 8 9 9 8 7 6 5 6 7 8 8 9 10 11 10 8 7 7 7 7 8 9 9 9 8 7 6 5 5 5 6 7 9 10 11 12 12 11 10 8 6 4 3 2 2 4 9 14 16 14 13 12 11 8 5 3 2 4 7 8 9 9 9 9 9 10 10 10 11 11 11 10 10 9 8 7 7 7 6 6 6 7 7 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 7 7 7 7 6 nan
nan 9 9 9 9 9 8 8 9 9 9 10 9 9 9 8 8 8 9 9 10 9 8 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 7 8 10 10 10 8 6 6 9 10 9 8 7 7 8 8 9 10 10 9 8 7 6 6 6 8 10 12 12 11 8 6 7 8 9 8 7 7 6 6 7 8 9 9 9 10 10 9 7 6 6 8 8 9 9 9 8 7 6 5 5 6 6 7 9 10 11 12 12 12 11 10 8 5 3 3 4 4 6 10 12 13 13 12 10 6 2 -1 -2 -0 3 7 8 9 9 9 10 10 11 12 12 12 11 11 10 9 8 8 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 7 7 nan
nan 8 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 6 8 10 10 10 9 8 7 9 10 10 10 9 8 8 7 7 8 8 8 7 6 6 6 7 8 10 10 9 7 5 5 7 9 8 7 6 6 6 7 8 9 10 10 10 10 9 8 6 6 7 8 9 10 10 9 7 6 5 5 5 7 8 9 10 11 12 12 11 11 10 9 7 5 3 3 4 5 7 9 10 12 14 12 8 2 -4 -7 -6 -1 3 7 9 9 10 11 12 12 13 13 12 12 11 10 9 8 8 7 7 7 6 6 5 5 5 6 6 6 6 6 6 6 7 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 7 nan
nan 8 8 8 8 9 8 8 8 8 8 9 9 9 8 8 8 9 9 9 9 8 8 8 8 9 9 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 8 7 7 8 8 9 10 10 10 9 9 9 9 10 10 9 8 7 7 7 7 7 7 6 6 6 7 7 8 8 7 6 5 7 9 10 8 6 7 7 8 8 10 10 11 11 10 10 9 7 7 7 8 9 9 9 9 8 6 5 5 5 6 8 9 10 11 11 11 11 10 9 8 8 7 6 4 3 5 6 8 10 11 12 12 9 4 -3 -11 -13 -7 -1 4 7 9 10 11 12 12 12 12 12 11 10 9 9 8 8 7 7 6 6 5 5 5 5 5 6 6 6 7 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 nan
nan 9 9 8 9 9 9 8 8 8 8 9 9 9 8 8 8 8 9 9 9 8 8 8 9 9 8 8 8 9 9 9 9 10 10 10 10 10 9 9 9 10 10 9 8 7 7 8 9 10 11 11 9 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 7 7 7 6 6 7 9 9 7 7 8 9 9 10 11 11 11 10 9 8 7 7 7 8 9 9 9 8 7 7 6 6 6 7 8 9 10 10 11 11 11 10 9 9 8 8 7 6 4 4 5 7 10 10 10 9 7 4 -1 -9 -15 -13 -5 1 6 9 10 10 11 11 11 10 10 9 9 8 8 8 8 7 7 6 5 5 4 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 7 nan
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nan 8 7 7 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 10 11 11 11 11 10 10 10 10 9 9 9 9 9 10 11 11 11 11 11 10 10 10 9 8 8 8 8 8 8 8 8 9 8 8 8 7 7 7 7 8 9 9 8 9 9 10 10 9 9 9 9 10 9 9 9 9 9 9 10 10 9 9 9 8 8 8 7 8 8 8 8 8 10 10 10 9 8 8 9 9 10 11 12 12 12 12 12 11 10 9 8 8 8 8 9 10 11 11 11 11 11 10 9 7 6 7 8 9 10 10 11 12 15 19 25 28 29 29 29 28 27 27 27 26 26 25 23 20 18 17 16 16 16 15 15 14 13 12 11 10 8 8 7 6 6 6 6 6 6 6 7 7 7 7 8 nan
nan 8 8 8 9 9 9 8 8 8 8 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 9 9 8 8 8 8 7 7 7 7 8 9 9 10 10 11 11 11 11 10 10 11 10 10 9 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 9 10 10 10 9 9 9 9 10 11 12 13 12 12 11 10 9 8 7 7 7 8 8 9 9 10 10 10 10 10 9 8 7 7 8 9 10 11 11 12 13 15 17 19 21 21 19 16 15 16 19 22 25 26 25 22 19 17 17 18 18 16 15 14 13 12 10 9 8 7 6 5 5 6 6 6 7 7 8 8 9 9 9 9 nan
nan 8 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 11 11 12 11 11 11 11 10 10 10 9 9 8 9 9 9 9 9 9 8 8 8 8 8 7 8 8 8 9 10 10 11 11 12 12 12 11 11 11 11 10 10 10 9 9 8 7 6 6 7 7 8 9 9 10 9 9 8 8 9 9 10 10 10 9 10 10 10 11 12 12 12 12 11 10 8 7 6 6 7 7 8 9 9 9 9 9 9 9 8 8 8 9 9 10 11 11 11 11 12 12 13 13 13 13 12 9 7 6 5 5 7 10 13 13 10 11 14 19 21 19 16 14 13 12 10 9 8 7 6 5 5 6 6 7 8 9 10 10 11 11 11 11 10 nan
nan 8 9 9 9 9 9 9 10 10 10 10 10 9 9 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 9 9 8 8 8 9 9 10 10 9 9 9 8 8 8 8 8 8 9 9 10 11 11 12 12 12 11 11 11 11 10 10 10 10 10 9 8 7 5 5 6 7 8 9 10 10 10 10 10 10 10 9 10 10 10 10 10 10 11 11 11 12 12 12 11 10 9 8 6 6 7 7 8 8 9 9 9 9 9 8 7 7 7 8 10 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 10 8 4 3 2 2 -0 1 6 12 17 17 14 13 12 12 11 10 8 7 6 6 6 6 7 8 10 11 12 12 13 13 12 12 11 10 nan
nan 8 9 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 12 12 11 11 10 10 10 10 10 11 11 11 10 10 9 10 10 9 9 8 8 8 8 9 10 10 10 10 9 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 8 7 6 6 7 8 8 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 8 7 7 8 7 8 8 9 9 9 9 8 8 7 7 8 8 9 10 11 10 10 10 10 10 10 11 11 12 13 14 16 18 19 19 17 14 12 10 8 10 14 17 17 14 13 13 14 13 12 10 9 8 8 8 8 9 11 13 15 14 14 14 13 13 12 11 11 10 nan
nan 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 12 12 12 13 12 12 11 11 11 11 11 11 11 10 10 9 9 8 9 9 9 8 8 8 9 9 9 10 10 10 10 10 9 8 8 7 8 8 8 8 6 5 5 5 6 7 7 8 9 9 8 8 9 9 9 8 7 6 6 7 9 9 10 10 10 10 10 11 11 12 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 8 8 9 10 11 12 13 14 16 18 20 23 26 26 26 25 26 28 30 30 26 23 22 22 21 19 16 14 13 11 11 11 13 16 21 22 20 17 15 14 13 12 11 11 10 10 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 13 13 12 12 12 12 12 12 12 12 11 10 10 9 9 8 8 9 9 8 8 8 9 9 10 10 11 11 10 10 9 8 8 7 5 3 1 -2 -4 -5 -3 -0 2 4 4 5 5 6 8 9 9 9 8 7 6 6 7 8 9 10 11 11 11 11 11 11 12 12 12 11 11 10 10 11 11 11 11 11 11 11 10 9 8 8 7 7 6 6 6 6 6 6 6 6 7 7 7 8 9 9 9 9 9 9 9 10 9 9 9 9 9 9 10 11 12 13 13 13 14 16 19 23 25 27 28 30 32 34 32 30 29 29 28 27 26 25 22 20 18 18 18 19 23 26 25 20 16 14 12 12 11 11 11 10 10 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 10 9 8 8 10 12 12 13 13 13 13 13 13 12 12 11 11 10 9 9 9 9 9 9 8 8 9 9 10 10 11 11 11 10 10 9 9 7 3 -3 -8 -11 -13 -12 -8 -4 -1 0 -0 -1 -1 1 4 7 9 9 8 7 6 6 7 7 8 10 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 9 8 7 6 6 6 5 5 5 5 6 6 6 7 7 8 9 10 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 13 14 16 18 19 20 21 22 22 21 21 21 22 23 24 26 26 26 25 26 27 26 25 24 21 18 15 15 15 15 14 13 12 11 10 10 nan
nan 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 7 3 -0 -1 2 7 10 12 14 15 15 14 14 13 13 12 12 11 11 10 9 9 8 8 8 8 8 9 9 10 11 11 11 10 10 9 9 7 2 -6 -13 -16 -15 -11 -6 -1 2 3 2 -0 -2 -2 0 3 5 6 5 4 4 4 4 5 6 8 9 10 11 10 11 11 11 12 12 12 11 11 11 11 11 11 10 10 10 10 9 9 8 7 6 6 5 5 5 5 5 5 6 7 8 9 9 10 10 10 10 11 10 10 10 10 10 10 9 10 11 11 12 12 12 12 12 12 13 12 12 12 12 12 12 12 13 13 13 11 11 11 11 12 14 15 17 19 21 25 28 29 29 27 23 19 17 17 20 22 22 20 16 12 10 8 8 nan
nan 10 10 11 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 7 1 -5 -9 -8 -2 6 10 13 16 18 17 15 15 14 14 13 12 11 11 10 9 8 8 7 7 7 8 8 9 10 11 11 10 10 9 8 8 4 -3 -11 -15 -14 -8 -2 3 6 7 7 5 4 3 3 3 3 2 0 -2 -3 -2 -1 1 3 5 7 8 8 8 8 9 10 11 12 12 11 11 11 11 11 10 10 9 9 9 9 9 8 7 6 6 6 5 6 6 5 5 5 7 8 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 10 10 11 12 13 13 13 13 13 12 12 12 11 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 12 15 18 21 22 22 23 23 22 21 20 20 18 17 14 10 7 6 6 6 nan
nan 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 8 3 -5 -10 -11 -7 1 7 11 15 18 19 17 16 16 16 15 13 11 11 10 10 9 8 8 7 7 7 7 8 9 10 11 11 10 9 8 8 7 3 -1 -6 -7 -3 1 4 7 8 8 8 7 7 7 7 6 4 2 -2 -6 -8 -7 -6 -3 1 4 5 6 6 6 7 8 9 10 11 10 10 10 11 11 10 10 9 9 9 9 9 8 7 6 5 5 6 6 6 6 6 6 7 8 10 10 11 10 11 11 10 10 9 9 9 9 9 9 9 10 10 10 11 12 13 14 14 14 12 11 11 10 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 11 12 13 13 14 16 19 19 15 10 4 1 -1 -1 -1 0 3 5 6 nan
nan 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 8 5 -2 -7 -9 -6 -1 5 9 11 14 17 18 19 19 20 18 15 12 11 10 10 10 10 9 9 8 7 6 7 8 9 10 10 10 10 10 9 8 7 7 6 6 7 9 10 12 12 12 11 9 8 8 8 7 7 5 3 0 -2 -4 -4 -4 -3 -1 -0 1 2 5 7 9 9 8 8 7 7 8 8 9 9 9 9 10 10 10 10 9 8 7 5 4 4 5 6 7 7 8 8 10 11 11 10 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 10 11 12 12 13 13 13 11 11 10 10 9 9 8 8 9 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 10 11 12 10 4 -2 -7 -9 -8 -6 -3 0 4 6 8 nan
nan 10 10 10 9 9 9 9 10 10 10 10 10 9 9 9 9 10 9 9 8 8 6 2 -5 -8 -7 -3 3 7 10 11 12 14 18 22 24 24 20 16 14 12 11 11 11 10 9 9 8 7 7 7 7 8 8 9 10 10 10 9 8 8 10 12 14 16 17 17 17 17 15 13 11 10 10 10 8 7 6 5 4 4 4 4 3 2 1 0 0 2 5 7 8 7 5 4 3 3 4 5 6 7 8 9 10 11 11 10 9 8 6 5 5 5 6 7 7 8 10 11 12 12 11 9 8 8 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 10 11 12 11 11 11 11 10 9 8 8 8 9 9 10 11 11 11 10 10 10 10 10 10 10 10 9 9 8 9 9 7 3 -3 -5 -6 -3 -1 0 2 5 7 8 9 nan
nan 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 8 7 7 5 -1 -6 -7 -5 -1 4 8 10 11 11 13 18 24 27 26 21 17 15 14 12 11 10 10 9 8 7 7 7 7 7 7 7 8 9 10 10 9 8 9 10 11 13 15 15 14 12 11 10 11 13 15 15 13 11 9 7 6 6 6 7 7 8 8 7 6 6 5 4 2 -0 -2 -1 -1 0 1 3 4 5 7 9 10 11 11 10 9 8 8 7 8 9 9 8 8 9 9 10 11 11 10 10 9 9 8 8 9 9 9 10 10 11 11 10 9 8 8 8 9 9 8 8 9 9 9 10 10 10 9 9 8 8 9 10 10 11 12 13 12 11 11 11 10 10 10 10 9 9 8 7 7 5 0 -5 -7 -6 -2 3 5 6 7 8 9 9 10 nan
nan 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 6 3 -4 -7 -7 -4 1 6 9 11 11 11 12 16 22 27 27 22 19 17 15 13 11 10 9 8 8 8 8 8 8 7 8 8 9 9 10 10 9 9 9 9 9 10 10 8 3 -1 -2 1 6 13 17 18 16 14 11 9 8 8 8 8 9 10 10 11 11 10 8 4 -0 -4 -7 -6 -4 -2 1 3 5 6 8 9 10 10 10 9 9 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 7 6 6 6 6 7 7 7 7 8 8 8 9 9 9 9 9 9 9 10 11 11 13 14 13 12 11 11 10 10 10 9 9 9 8 7 6 3 -1 -6 -8 -7 -3 3 6 8 8 9 9 10 10 10 nan
nan 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 7 1 -5 -8 -7 -3 2 7 10 11 11 11 11 15 21 26 27 24 21 18 16 13 10 9 8 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 8 8 8 8 6 2 -5 -9 -7 -1 6 13 16 16 16 16 15 13 12 11 10 10 11 12 13 13 13 12 10 7 4 1 -1 -3 -3 -2 -0 2 5 7 9 9 8 8 8 8 8 8 8 9 9 8 7 7 8 8 8 7 7 7 8 8 8 9 10 10 10 10 10 10 10 10 8 8 8 8 8 7 7 7 7 8 7 7 7 8 8 8 9 9 9 10 11 11 12 13 13 12 11 11 10 9 9 9 9 9 8 8 8 7 3 -1 -2 -1 2 6 8 9 9 9 10 10 10 10 10 nan
nan 8 8 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 7 1 -5 -7 -7 -3 3 8 10 11 11 11 11 14 19 24 27 25 22 19 17 13 9 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 9 8 8 8 8 7 5 1 -3 -3 2 8 14 16 15 14 15 16 16 16 16 16 15 15 16 17 17 17 18 17 15 13 10 7 6 4 3 1 1 2 5 8 10 9 8 7 7 7 7 7 7 7 7 6 6 7 8 8 7 7 7 7 8 7 7 8 9 10 11 12 13 14 12 11 10 10 11 11 11 10 9 9 8 7 6 6 6 7 8 8 9 9 10 11 11 11 11 12 11 11 11 10 9 9 9 8 9 9 9 9 10 10 9 10 11 13 13 13 12 11 10 9 9 9 9 10 10 nan
nan 8 9 9 10 10 10 11 11 11 11 11 10 10 9 9 10 10 11 11 11 8 3 -3 -6 -6 -2 4 8 10 11 12 11 12 13 16 21 26 26 23 20 17 12 8 6 7 8 9 9 9 10 10 10 10 10 9 9 8 8 9 8 8 7 7 7 6 6 8 12 17 20 22 19 15 13 13 13 14 17 19 20 21 22 24 25 25 26 27 26 22 18 13 11 10 10 9 9 8 7 7 8 9 9 10 9 8 7 7 6 6 6 6 7 8 9 10 10 9 9 9 10 9 8 8 8 9 10 12 14 15 14 11 10 9 10 10 10 10 10 9 8 6 5 5 6 7 8 8 9 10 10 10 10 10 10 11 11 11 11 11 10 9 9 8 8 8 9 9 10 11 12 15 18 21 20 17 13 10 9 9 9 9 9 9 9 10 nan
nan 9 9 10 10 11 11 11 11 11 10 10 10 9 9 9 10 10 11 11 11 9 4 -3 -7 -7 -2 5 9 11 11 12 12 12 12 15 19 26 27 25 21 17 12 9 8 8 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 8 7 7 7 8 11 14 18 21 21 19 15 13 11 11 10 11 14 16 18 21 24 26 27 29 29 29 26 23 20 17 16 16 17 18 19 19 17 15 13 11 12 12 12 11 10 8 7 7 7 7 8 9 10 10 10 10 10 11 12 12 11 10 10 10 12 13 13 11 8 7 7 7 7 7 7 8 8 7 5 5 6 7 8 9 9 10 11 11 11 11 10 10 10 10 10 10 11 10 10 9 8 8 8 8 9 10 10 11 13 16 18 18 14 10 7 7 7 8 8 8 9 9 9 10 nan
nan 9 9 10 11 11 11 11 11 10 10 10 10 9 9 9 10 10 11 11 10 8 2 -5 -9 -7 -1 6 9 11 11 12 12 12 12 13 20 28 30 27 23 17 13 11 10 9 9 9 10 10 9 8 7 8 8 9 9 10 10 10 10 9 8 8 8 9 11 13 14 14 13 11 9 9 8 8 8 8 8 9 12 15 18 20 21 22 22 21 19 19 20 21 23 24 25 27 29 28 27 25 22 21 20 18 16 14 11 9 8 8 9 10 10 10 9 9 10 11 12 13 13 13 12 12 11 11 11 10 8 6 4 5 7 7 7 7 7 6 6 6 7 8 9 11 12 12 12 13 13 12 12 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 12 13 14 13 9 6 4 4 6 8 8 8 9 9 10 10 10 nan
nan 9 9 10 10 10 10 11 10 10 10 10 10 10 10 10 9 10 10 11 11 8 -0 -7 -8 -6 1 7 10 11 11 11 11 12 12 14 22 30 31 29 23 16 13 12 11 10 9 10 10 10 9 8 8 8 9 10 10 11 11 11 10 9 9 8 8 9 9 9 9 8 6 4 2 2 3 4 5 5 6 7 9 11 13 15 16 16 15 14 14 15 18 21 23 25 27 28 28 28 28 28 29 29 26 23 18 14 12 10 10 11 12 13 12 10 9 9 10 12 13 13 12 12 11 10 10 9 9 7 5 4 5 7 8 9 9 9 8 8 8 10 11 13 13 13 13 13 14 14 14 13 12 11 10 10 9 9 9 9 9 10 10 9 9 10 10 10 10 10 11 11 12 12 10 8 8 7 8 9 9 9 9 10 10 10 11 11 nan
nan 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 10 6 -2 -6 -7 -4 2 7 10 11 11 11 11 11 12 16 25 31 31 27 20 14 13 12 11 10 10 11 11 10 10 9 9 9 10 10 11 11 11 10 9 9 9 9 9 9 9 9 8 6 2 -3 -6 -6 -3 1 4 6 8 10 12 13 13 14 15 14 14 14 15 15 16 17 19 20 20 20 19 20 21 22 24 24 23 19 15 13 12 11 12 13 14 14 13 11 9 9 10 10 10 9 9 9 9 8 8 9 9 8 8 8 9 10 11 11 11 11 12 12 13 14 15 15 15 13 12 12 12 12 12 12 11 10 9 9 8 8 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 13 15 15 15 12 11 11 11 11 11 11 11 12 nan
nan 10 9 9 9 9 8 8 9 10 10 11 11 11 11 10 9 9 9 9 9 3 -3 -7 -8 -4 2 8 10 10 10 10 10 11 13 20 28 31 30 24 16 13 12 11 10 10 10 11 11 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 8 5 -1 -8 -10 -8 -4 1 5 8 11 13 14 14 15 15 15 15 15 16 16 15 15 15 15 14 13 11 10 9 10 12 14 14 14 12 10 10 10 11 13 12 12 11 9 6 4 3 4 4 4 3 4 6 7 7 9 10 11 12 12 12 13 13 14 14 14 15 15 16 16 15 14 14 13 12 11 11 10 11 11 11 10 9 9 8 8 9 9 10 10 10 10 10 10 10 11 11 12 12 11 11 11 11 13 16 18 19 18 15 12 12 12 12 12 12 12 12 nan
nan 11 10 10 9 9 9 9 9 10 10 11 11 11 11 10 9 9 8 9 8 3 -3 -7 -8 -4 3 7 9 10 10 10 10 12 16 24 30 30 25 19 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 8 8 7 3 -4 -8 -8 -6 -1 4 7 11 14 15 15 16 16 16 16 16 16 16 15 15 14 13 12 11 8 5 2 -0 -1 1 2 3 3 2 2 3 5 7 8 7 5 1 -2 -5 -6 -6 -5 -5 -4 -2 0 4 6 8 11 13 13 13 14 15 15 16 16 16 16 16 15 14 13 12 11 11 11 10 11 10 10 11 11 11 10 10 9 9 10 10 10 10 11 10 10 10 10 10 11 12 12 12 12 11 11 12 13 15 17 20 19 17 15 13 13 12 12 12 13 13 nan
nan 11 10 10 10 10 9 9 10 10 10 11 11 11 10 10 9 8 8 9 9 5 -0 -5 -7 -3 2 6 8 9 9 9 10 13 19 27 29 25 19 14 12 11 11 11 11 10 9 8 9 9 10 10 10 10 10 10 9 9 9 9 8 7 7 7 8 8 8 7 5 -0 -5 -6 -5 -2 4 8 11 14 16 16 16 16 16 16 16 16 16 15 14 13 12 11 10 8 6 4 1 -1 -2 -3 -4 -4 -5 -6 -6 -4 -1 1 1 -1 -4 -7 -9 -9 -9 -8 -6 -7 -6 -5 -2 2 5 8 10 11 12 13 14 15 15 16 16 16 15 14 12 11 10 9 9 9 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 11 11 11 12 11 11 11 11 12 13 13 16 19 21 19 18 15 13 13 13 13 13 13 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 7 3 -3 -6 -4 1 5 7 9 9 9 10 14 22 28 26 20 14 11 10 10 10 11 10 9 8 8 9 11 12 12 11 11 11 10 9 9 8 6 5 4 4 5 6 7 8 7 4 -2 -5 -5 -3 3 8 11 14 17 18 17 17 17 17 17 16 15 14 13 12 11 10 9 9 9 9 10 10 10 8 5 2 -0 -2 -3 -3 -2 1 2 0 -2 -4 -5 -4 -3 -1 1 1 1 1 1 2 4 5 5 5 7 11 13 14 13 13 13 13 12 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 12 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 13 16 19 20 21 20 17 15 14 14 14 14 14 nan
nan 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 8 8 9 9 9 4 -2 -6 -5 -1 3 7 9 9 9 11 14 22 27 23 18 13 10 9 9 10 10 10 9 9 10 11 12 13 12 11 11 11 10 8 6 2 -1 -2 -1 1 4 6 8 8 7 3 -2 -5 -5 -0 5 8 11 15 20 21 20 18 18 17 17 16 14 13 12 11 10 10 9 9 11 14 17 18 18 17 15 12 10 8 7 6 7 8 8 6 4 3 3 4 5 6 7 8 9 9 9 9 8 7 5 7 11 14 16 14 12 11 10 10 10 9 8 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 11 12 12 12 12 11 11 11 11 11 11 12 12 12 13 13 13 14 16 17 19 21 21 19 18 16 15 15 14 14 nan
nan 10 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 8 8 9 9 6 -0 -5 -7 -3 2 6 9 9 9 10 14 22 25 22 18 13 10 9 9 9 10 10 10 10 11 13 13 13 11 9 9 9 9 7 2 -6 -10 -10 -7 -1 5 8 9 9 7 2 -3 -5 -4 2 5 8 12 18 24 25 23 20 19 18 16 15 13 12 11 11 11 10 10 11 12 14 16 17 19 20 20 19 18 16 14 12 12 12 12 10 9 8 8 9 9 10 11 12 14 15 14 13 11 10 11 15 19 19 17 13 11 10 9 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 13 14 13 12 12 11 11 12 12 12 12 12 11 11 12 12 12 12 13 13 14 14 14 15 15 16 18 21 22 22 21 20 20 19 17 16 nan
nan 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 8 9 9 7 2 -4 -7 -5 1 6 8 9 9 10 14 21 23 22 18 13 10 10 9 10 10 10 10 11 11 13 13 12 9 7 7 8 9 7 1 -6 -9 -8 -5 2 7 9 9 8 4 -2 -6 -7 -2 3 6 9 13 21 26 26 24 21 19 18 16 15 14 13 13 12 11 10 11 12 13 12 12 13 15 17 19 20 20 19 18 16 16 15 14 13 12 11 11 11 13 14 17 19 21 20 16 13 12 12 14 18 19 19 15 11 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 12 13 14 15 15 13 12 11 10 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 15 15 15 15 15 17 19 21 24 26 28 27 25 23 21 nan
nan 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 5 -3 -7 -6 -1 5 8 9 9 10 13 18 21 22 20 14 11 10 10 9 9 10 10 10 11 11 11 10 9 7 8 9 10 10 6 2 1 0 1 5 7 6 5 2 -3 -8 -10 -6 0 5 8 10 15 22 25 25 23 20 18 17 16 15 14 14 13 12 11 11 12 13 13 12 11 11 12 14 16 18 18 18 18 18 18 17 16 15 14 14 15 17 20 23 26 27 26 22 16 13 11 11 13 16 19 19 16 14 12 11 12 12 12 11 10 10 10 10 10 10 11 11 11 11 11 12 13 14 15 15 14 13 11 10 10 10 11 11 11 10 10 10 10 10 11 11 12 12 13 14 15 15 15 14 14 15 16 19 23 27 30 29 28 28 29 nan
nan 10 10 9 9 10 10 10 10 9 9 10 10 11 11 10 10 10 10 10 10 10 10 6 -2 -7 -6 -3 3 8 10 10 10 12 16 20 23 21 15 12 11 10 9 10 10 10 10 9 9 10 10 10 11 10 10 10 11 10 10 9 7 6 6 3 0 -2 -6 -11 -11 -8 -2 4 8 10 12 17 22 24 24 21 19 18 17 16 14 13 12 11 10 10 12 13 14 13 13 13 12 13 13 14 14 13 13 13 14 15 15 16 15 15 17 19 23 26 27 27 27 24 19 14 12 11 12 15 20 25 25 22 19 16 14 14 13 12 10 10 9 10 10 10 10 11 10 10 10 10 11 12 13 14 14 13 11 10 9 9 10 10 10 10 10 10 10 10 10 10 11 12 12 13 13 14 14 14 14 14 14 14 16 19 21 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
59 65 63 53 43 33 20 7 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 2 13 36 76 148 299 477 611 729 843 892 845 711 554 468 425 349 258 143 98 77 67 67 71 76 82 87 93 104 111 122 140 164 187 208 229 256 272 286 291 289 310 403 524 568 580 601 667 795 944 1064 1256 1387 1468 1407 1245 1139 1104 1111 1231 1452 1500 1514 1614 1751 1932 2149 2119 2012 1930 1849 1722 1539 1328 1138 988 865 819 799 797 801 800 794 787 772 754 743 738 741 755 786 851 904 946 989 1016 1014 989 939 847 783 711 662
66 69 65 57 46 32 12 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 2 13 30 43 74 152 280 433 536 545 490 430 350 271 236 253 275 282 243 178 135 101 78 73 77 81 86 91 98 106 121 143 167 181 189 204 222 243 265 288 324 403 515 589 611 598 593 645 753 881 1041 1113 1147 1230 1290 1304 1264 1181 1070 1220 1421 1460 1458 1408 1328 1268 1327 1415 1526 1722 1979 2126 2031 1837 1569 1321 1091 929 821 761 742 745 756 765 764 757 746 733 722 718 727 760 799 855 929 984 1003 1016 988 926 885 827 774
65 66 62 53 40 23 5 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 2 10 24 34 54 82 105 177 219 150 136 146 151 147 144 147 144 170 218 229 213 167 107 77 74 77 80 84 93 106 122 140 162 172 180 193 208 228 257 299 369 453 535 577 590 588 621 721 830 925 882 854 871 940 1082 1260 1389 1460 1249 1266 1427 1641 1783 1727 1513 1253 1116 1085 1154 1395 1800 2171 2293 2223 1997 1753 1484 1225 1009 847 758 735 730 729 734 742 747 740 728 721 717 716 721 757 817 874 917 971 1013 1006 967 931 897
51 54 50 39 24 10 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 6 16 26 38 53 66 73 81 77 77 82 88 96 107 111 108 112 133 175 211 205 134 85 72 69 71 76 87 103 118 133 150 161 172 187 207 233 268 317 389 450 488 494 513 558 632 753 821 867 815 732 690 739 922 1224 1489 1739 1600 1346 1255 1359 1582 1714 1687 1700 1494 1333 1307 1424 1616 1703 1848 2080 2077 1970 1806 1615 1411 1214 1029 865 758 704 693 703 716 721 729 731 726 715 704 708 732 761 800 859 915 951 974 989 983
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