Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 8 8 8 8 8 7 7 6 6 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 8 8 8 8 7 7 7 7 7 8 8 9 9 8 8 7 7 7 7 7 7 7 7 6 6 7 7 7 8 8 9 10 9 8 8 7 6 6 6 6 6 6 6 7 8 10 11 12 11 9 7 5 4 4 4 4 4 4 4 4 5 6 7 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 9 8 7 7 7 8 9 11 13 16 18 20 21 22 21 21 21 20 20 19 16 13 10 8 6 5 5 5 5 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 5 5 5 5 6 6 6 6 6 6 nan
nan 7 7 8 9 8 7 7 7 6 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 8 8 8 7 7 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 8 8 7 7 7 7 7 7 8 8 9 9 8 7 7 6 6 5 5 5 5 5 6 7 8 9 8 9 10 10 9 6 5 5 5 4 4 4 4 4 5 6 7 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 10 10 10 10 9 8 7 6 6 5 6 6 8 10 11 12 13 14 15 16 17 19 21 22 22 19 15 12 9 6 5 5 5 5 5 5 5 5 5 5 5 4 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 nan
nan 7 6 7 8 8 7 7 7 6 6 7 7 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 9 8 8 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 8 7 6 6 6 5 5 5 5 5 6 7 8 7 7 8 11 12 11 8 6 5 5 4 4 4 4 4 5 6 7 8 9 9 10 11 11 11 11 11 11 10 11 11 10 10 10 9 9 9 9 9 9 10 10 9 9 8 7 7 6 6 5 4 4 4 4 4 4 5 6 8 10 14 19 23 25 24 21 17 12 8 6 5 5 5 5 5 5 5 5 5 5 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 nan
nan 7 6 7 7 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 6 7 8 9 9 9 9 9 8 7 7 7 7 8 8 9 9 7 6 6 6 6 6 5 5 5 6 7 7 7 7 7 9 12 13 12 9 7 6 5 5 4 4 4 5 6 7 8 9 9 10 11 11 12 12 12 12 11 11 12 12 11 11 11 10 9 9 9 9 9 9 9 8 8 8 8 8 7 7 6 5 3 2 1 0 -1 -1 0 2 4 9 15 21 25 28 27 23 17 12 8 6 5 5 5 5 4 5 5 5 5 5 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 6 nan
nan 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 8 8 9 9 10 10 9 8 7 7 8 8 8 9 8 7 6 7 7 7 6 6 6 6 7 7 7 7 7 8 10 12 12 11 10 9 8 7 6 5 5 5 6 6 8 9 10 10 11 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 9 9 8 8 8 8 8 7 7 7 7 8 7 7 6 5 4 3 2 1 0 -0 0 2 5 11 18 24 29 30 27 22 16 11 7 5 5 5 5 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 5 5 5 5 5 5 5 5 5 5 5 6 nan
nan 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 7 7 8 8 8 9 10 10 9 8 8 8 7 7 7 8 8 7 7 7 7 7 6 7 8 8 8 7 6 5 6 7 8 9 9 9 9 9 9 9 8 7 7 7 7 8 9 10 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 9 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 7 6 6 5 5 3 2 2 4 8 15 23 28 31 29 25 19 13 9 6 5 5 5 5 5 5 5 4 4 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 7 7 6 6 6 6 7 7 7 8 8 7 7 8 7 7 7 7 7 8 8 9 8 7 6 7 7 7 7 7 8 8 9 9 9 9 8 7 6 6 7 8 8 8 8 7 7 7 8 9 9 9 8 6 5 5 6 7 7 7 7 7 8 9 10 10 9 9 9 9 9 10 11 12 12 13 12 12 12 12 12 12 11 11 11 11 10 10 10 10 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 7 6 5 5 8 13 20 25 28 29 26 21 16 11 7 6 5 5 4 5 5 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 7 7 8 8 8 7 7 6 6 6 7 7 8 7 7 7 8 8 8 9 9 8 7 6 6 6 7 8 9 9 10 10 9 8 8 8 7 7 6 7 8 8 9 9 8 7 7 7 8 7 7 7 8 9 10 11 10 8 6 6 6 8 9 9 8 7 6 6 7 8 8 9 8 7 6 6 6 6 6 7 6 7 7 8 9 9 9 10 12 12 11 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 10 9 7 6 8 12 18 22 25 26 25 22 17 13 9 6 5 5 5 5 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 nan
nan 8 7 6 6 7 8 8 8 7 6 5 5 6 7 7 7 8 8 8 8 8 8 9 9 8 7 6 6 7 8 9 10 10 10 10 9 8 8 8 7 7 7 8 8 9 9 9 8 8 8 8 9 9 9 9 10 11 11 9 8 6 6 7 9 10 9 7 6 5 6 8 8 8 7 6 5 5 6 7 7 7 7 6 6 7 8 8 8 8 10 12 13 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 11 11 11 10 8 7 8 12 16 20 22 23 23 22 18 14 11 8 6 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 5 5 5 5 5 5 5 5 5 5 5 nan
nan 9 8 6 6 6 8 8 9 8 6 5 5 6 6 7 7 8 8 8 7 7 7 8 9 8 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 10 10 11 11 11 10 9 7 6 7 7 9 10 9 8 7 6 7 8 9 7 5 4 3 3 5 6 7 7 7 7 6 7 7 8 8 8 9 11 11 9 7 8 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 10 9 7 6 6 9 14 17 20 21 22 22 20 17 14 11 9 7 7 6 6 5 5 5 4 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 nan
nan 8 8 7 6 6 8 8 9 8 7 6 5 6 6 7 7 8 8 8 7 6 7 7 7 7 8 8 8 8 8 8 9 8 7 7 7 7 8 8 8 8 8 8 8 9 8 8 7 7 8 8 8 9 9 10 10 10 10 8 7 7 7 8 8 8 9 9 8 8 8 8 8 7 5 3 3 3 4 6 8 9 9 9 9 8 8 7 8 8 8 9 8 5 2 2 4 7 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 8 6 4 3 6 9 13 16 19 22 23 22 21 18 16 13 11 9 8 7 6 5 5 5 4 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 nan
nan 7 8 7 6 7 8 9 9 8 7 6 5 6 7 7 8 8 9 8 7 7 7 7 7 7 8 8 8 8 8 8 9 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 8 7 8 8 8 8 8 8 8 9 9 8 8 7 6 5 5 5 6 7 8 9 10 10 11 10 10 9 8 8 8 8 8 7 3 -0 -3 -2 1 6 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 9 9 10 9 9 9 7 4 2 1 2 4 7 11 16 19 21 23 24 23 21 18 15 13 11 9 7 6 6 5 5 5 5 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 6 5 5 5 6 6 nan
nan 5 7 7 7 8 9 9 9 8 7 6 6 7 7 8 8 9 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 8 8 9 8 8 7 7 8 8 7 7 7 7 8 9 9 9 9 9 9 8 7 7 8 9 9 8 7 6 5 7 9 9 10 10 10 9 9 10 10 10 10 9 9 8 8 8 9 8 5 2 -3 -6 -5 -0 5 7 8 8 8 8 9 9 9 10 10 10 10 11 11 11 12 12 12 13 13 13 13 13 12 12 12 12 11 11 10 10 10 10 9 9 8 7 5 3 1 -0 -0 1 3 7 10 14 18 21 24 25 24 22 20 17 14 11 9 8 7 6 6 6 5 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 nan
nan 5 6 7 8 9 9 9 9 8 7 7 7 7 8 9 9 9 8 7 6 7 8 8 7 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 9 9 8 7 7 8 9 9 9 9 8 8 7 7 8 8 8 8 7 6 6 7 9 11 11 11 10 9 7 8 8 9 10 10 10 10 9 9 9 10 10 8 6 2 -3 -6 -4 -1 3 6 6 6 6 7 8 8 8 9 9 10 10 10 11 11 11 12 12 12 12 13 13 12 12 12 12 11 11 10 10 10 9 9 8 7 6 5 3 1 0 -0 -0 1 3 5 8 12 16 20 22 23 23 22 20 17 15 12 10 9 8 7 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 6 6 6 7 9 9 9 8 7 7 6 6 7 8 10 10 9 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 7 7 6 5 5 7 8 9 9 9 9 9 9 9 9 8 7 6 6 7 8 8 8 8 7 6 7 8 10 11 11 11 9 8 7 7 8 9 9 9 10 10 10 10 10 10 11 11 10 7 3 -1 -3 -3 -0 3 4 4 4 5 6 7 7 7 8 8 9 10 10 10 10 11 11 11 11 12 12 12 12 12 11 11 11 10 10 9 9 8 7 6 5 5 3 2 1 1 1 1 1 2 4 7 10 14 17 20 21 21 21 19 17 15 13 11 10 9 8 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 6 6 7 8 8 8 8 7 7 6 6 6 8 9 9 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 7 7 7 7 7 6 5 5 5 5 7 8 8 9 10 10 9 8 7 6 6 5 6 7 8 9 9 9 8 8 8 9 10 11 11 10 9 8 8 7 8 8 8 9 9 10 10 11 10 11 11 12 11 10 7 5 2 -1 -1 1 2 2 3 3 5 5 6 6 7 7 8 8 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 9 9 8 8 7 6 5 5 4 3 3 2 2 2 1 1 2 3 5 8 12 15 17 19 19 19 19 17 15 14 12 11 10 9 8 7 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 8 7 7 7 7 7 7 7 8 8 7 6 6 7 8 8 6 6 7 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 7 8 8 7 6 5 6 6 7 7 7 7 6 7 7 7 7 7 7 8 9 9 9 8 7 6 5 5 5 6 7 8 9 9 9 9 9 9 9 10 10 11 10 10 9 8 8 7 7 8 8 8 9 10 10 10 10 11 12 12 11 9 7 5 2 0 -0 0 0 0 1 2 4 5 5 6 6 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 8 8 8 7 6 6 5 5 4 4 4 3 3 3 2 2 1 2 4 6 9 12 14 16 17 18 18 17 16 14 13 12 10 9 8 8 7 6 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 nan
nan 8 8 7 7 7 7 7 7 8 8 8 8 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 9 8 7 6 7 8 9 8 7 6 5 6 7 7 7 7 6 6 7 9 9 9 8 8 8 8 8 8 7 6 5 5 6 7 7 8 9 9 10 10 10 10 9 9 10 10 10 10 10 9 8 7 7 7 7 7 8 8 9 9 9 9 10 11 11 11 9 8 7 4 2 -1 -2 -2 -2 -2 -1 1 2 4 4 5 6 6 7 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 6 6 6 5 5 5 4 3 3 2 1 2 3 5 7 9 11 13 15 16 16 16 16 15 14 12 11 10 10 9 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 8 8 8 8 7 7 7 7 7 8 8 8 8 8 7 6 6 6 7 7 8 8 8 7 7 8 8 8 8 9 9 9 9 8 9 9 9 8 6 6 7 8 8 8 7 7 7 7 8 8 8 9 9 8 7 6 6 6 6 5 6 7 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 7 6 6 7 7 7 7 7 8 8 9 10 10 10 9 9 7 4 1 -2 -3 -4 -4 -5 -4 -2 -0 2 4 5 5 6 7 7 7 7 7 7 7 8 9 9 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 6 6 5 4 3 3 2 2 2 3 4 6 8 10 12 14 15 15 15 15 14 13 12 12 11 9 8 7 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 nan
nan 7 7 8 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 7 7 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 10 9 7 6 5 6 6 7 7 8 8 9 9 10 10 11 10 9 8 8 8 8 8 9 8 8 7 7 8 7 7 7 6 6 6 6 7 7 8 8 8 8 9 9 9 9 9 8 5 2 -0 -2 -4 -5 -7 -7 -5 -2 1 3 4 6 6 7 7 7 7 8 8 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 6 6 5 4 3 3 3 3 4 4 6 8 10 11 13 14 14 15 14 14 13 12 11 10 8 7 6 6 6 5 5 5 5 5 5 5 5 5 5 5 nan
nan 6 7 7 7 6 6 7 8 8 8 8 8 8 8 7 7 6 7 8 8 8 9 9 8 7 6 6 6 6 7 8 8 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 9 9 9 10 11 11 9 8 7 6 7 7 8 9 8 8 9 10 10 11 10 9 8 7 7 8 8 9 9 8 8 7 7 7 8 8 7 7 7 6 6 7 7 8 8 8 8 9 9 8 8 9 9 8 7 5 3 2 -0 -4 -7 -8 -6 -3 1 4 5 6 6 6 6 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 7 7 6 6 5 5 4 4 4 5 6 7 8 10 11 13 13 14 14 14 13 12 11 10 9 8 7 6 6 5 5 5 5 5 5 5 5 5 4 nan
nan 6 7 7 7 6 6 7 7 8 9 9 8 8 8 7 7 7 7 8 8 8 9 9 10 9 8 7 6 6 6 7 8 8 7 7 7 7 7 8 8 8 8 9 9 9 10 10 11 12 13 13 12 11 9 8 7 7 8 8 9 9 9 9 9 10 11 11 9 8 7 7 7 8 8 9 9 8 7 7 6 7 7 7 7 8 7 7 7 7 7 7 8 8 8 9 8 8 7 8 9 10 9 9 8 7 6 4 -0 -5 -7 -5 -1 2 4 5 5 5 5 5 6 7 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 6 6 6 6 6 6 7 8 9 10 11 12 13 13 13 13 12 11 10 9 8 7 6 6 6 5 5 6 5 5 4 4 4 nan
nan 7 7 7 7 7 7 7 7 8 9 9 9 9 8 7 7 7 8 8 8 8 8 9 10 10 9 8 8 7 8 8 8 7 6 5 5 5 6 8 8 8 7 8 9 10 11 13 14 15 15 13 11 10 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 8 8 8 8 8 9 9 9 8 7 7 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 7 7 7 8 9 9 10 10 10 9 9 8 6 1 -3 -4 -2 1 3 4 5 5 4 4 4 5 6 7 7 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 10 11 12 13 13 13 13 13 12 11 10 8 7 6 6 6 6 6 5 4 4 4 4 nan
nan 8 7 7 7 7 7 7 7 8 8 9 9 9 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 6 5 5 6 6 7 8 8 8 8 9 10 12 14 15 15 13 11 9 8 8 8 8 9 9 9 9 10 10 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 5 6 6 7 7 8 8 8 7 7 7 7 8 9 9 10 10 9 9 9 9 8 5 2 -1 -2 -1 1 4 4 4 4 3 2 3 4 5 6 6 6 7 7 7 7 8 8 8 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 7 8 8 9 10 11 12 13 14 14 14 14 13 12 10 9 7 7 6 6 6 5 4 4 4 4 nan
nan 8 8 8 7 7 7 7 8 8 9 9 9 9 8 8 7 7 8 8 9 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 8 8 8 8 9 9 8 8 8 10 11 13 13 11 9 8 7 8 8 9 9 9 10 10 11 11 10 10 9 9 9 9 9 9 8 8 8 8 8 7 8 8 7 7 7 7 7 7 7 6 5 5 5 6 7 7 8 8 7 7 7 8 8 9 9 10 10 9 9 8 8 8 7 6 3 0 -1 -1 1 4 5 4 3 2 1 2 3 4 5 5 5 6 6 6 7 7 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 7 7 7 8 8 9 10 11 12 13 14 14 15 15 15 13 12 10 8 8 7 7 7 6 5 4 4 5 nan
nan 9 8 8 7 7 7 8 8 9 9 10 10 9 8 8 8 7 8 9 9 8 8 8 8 8 9 10 11 10 10 10 10 9 9 9 9 9 8 8 9 9 8 7 6 6 7 9 10 10 10 9 8 8 9 9 9 10 10 11 12 12 11 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 7 7 6 5 5 5 5 6 7 7 7 7 7 8 9 9 10 10 10 9 8 8 8 8 9 8 7 4 1 -0 -1 1 4 5 4 2 1 0 1 2 3 4 5 5 6 6 6 6 6 7 7 7 8 8 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 10 11 12 13 13 14 15 15 16 16 15 13 11 10 10 9 9 8 7 5 5 5 5 nan
nan 9 8 8 7 7 7 7 8 9 9 9 9 9 9 9 8 7 8 9 9 8 8 8 9 9 10 11 11 11 11 10 10 10 10 10 9 8 8 8 8 8 8 8 6 6 6 7 7 8 9 9 9 9 9 9 10 11 12 12 13 12 11 9 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 5 5 5 6 6 6 7 7 8 8 9 10 10 10 9 8 8 8 8 9 9 9 7 6 3 1 0 2 3 4 3 1 -1 -1 1 2 4 5 5 6 6 7 7 6 6 6 7 7 8 8 8 9 9 9 8 8 8 8 8 7 7 7 8 8 9 9 9 9 9 8 9 9 10 11 12 13 14 15 15 16 16 17 16 16 15 14 14 14 14 12 10 8 6 6 6 6 nan
nan 9 8 7 7 7 7 6 7 7 8 8 8 8 9 10 9 8 7 8 9 8 8 9 10 10 10 11 11 10 10 9 9 9 8 8 7 6 6 6 7 8 8 7 7 6 6 6 6 7 7 7 7 8 8 8 10 11 12 12 12 11 10 8 7 7 8 8 8 7 8 9 9 9 9 8 8 8 9 9 8 8 7 7 7 6 7 7 8 8 7 6 5 5 5 5 6 7 7 8 9 10 11 10 9 8 8 8 8 9 9 9 9 8 7 5 3 2 2 4 4 1 -1 -2 -1 1 4 4 5 6 6 7 7 7 7 7 7 7 7 8 8 8 9 8 8 8 7 7 7 8 8 8 8 9 9 10 10 10 10 10 10 11 12 14 15 16 17 18 18 18 18 18 18 18 19 19 20 20 19 17 15 12 9 9 10 11 nan
nan 9 8 7 8 8 8 7 7 7 6 6 7 8 9 10 9 8 8 8 9 9 9 9 10 10 10 9 9 9 9 9 8 8 7 6 5 5 5 6 7 8 8 8 8 8 8 7 7 6 6 6 6 6 7 8 10 11 11 11 10 9 8 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 7 6 6 6 7 8 9 9 8 7 7 6 5 5 5 6 7 8 9 10 10 9 8 7 8 8 9 9 9 9 9 9 9 8 7 5 5 5 5 3 -0 -3 -4 -0 3 4 4 5 5 6 7 8 8 8 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 9 9 9 10 10 11 11 12 13 15 16 18 20 21 22 22 21 21 21 21 21 22 23 25 26 26 26 24 20 18 17 16 17 18 nan
nan 8 7 7 8 9 9 9 8 8 6 5 6 7 9 10 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 7 6 5 4 4 6 8 9 9 9 10 11 11 10 9 9 7 6 5 5 5 7 8 10 10 9 9 9 10 9 7 5 5 6 7 7 8 7 6 7 7 8 8 8 7 8 7 7 7 7 7 6 6 7 8 10 10 9 8 8 7 6 5 5 5 6 8 9 10 10 9 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 7 6 5 2 -2 -4 0 3 3 3 4 5 6 7 8 9 9 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 10 10 11 12 14 15 17 19 21 23 24 25 25 25 24 24 24 25 25 26 27 29 30 30 30 28 26 24 24 24 24 24 nan
nan 7 7 7 7 8 8 9 10 9 8 7 6 7 9 9 10 9 8 8 9 10 10 11 10 10 10 9 8 8 8 8 8 8 7 6 6 6 7 9 9 8 9 10 12 11 10 10 10 9 7 5 5 6 7 8 8 7 6 6 8 10 11 9 7 6 5 5 6 6 5 5 5 6 8 8 8 8 7 7 7 7 8 8 8 7 7 8 9 10 9 9 8 8 7 6 5 5 6 7 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 9 8 7 5 2 -1 1 3 4 3 3 4 4 5 6 8 9 9 9 8 8 8 8 7 8 8 8 8 9 9 10 10 11 10 10 10 11 11 13 14 17 19 21 23 25 26 27 26 26 26 26 26 26 26 27 27 28 29 30 30 29 29 27 27 26 26 26 26 nan
nan 7 7 7 7 7 8 10 11 11 10 9 8 8 9 10 11 11 10 9 10 11 11 12 12 11 11 10 9 8 8 8 8 8 8 8 7 8 9 9 8 7 7 8 9 8 8 9 10 9 8 6 6 7 8 8 6 4 4 5 7 9 10 11 10 9 7 6 5 5 4 3 3 4 6 8 9 9 8 8 7 7 8 8 8 8 7 7 8 9 8 8 8 8 8 7 7 5 5 6 7 8 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 7 4 1 1 5 6 5 3 3 3 4 5 6 7 8 9 9 8 8 8 8 8 9 10 10 11 12 13 14 14 14 13 12 12 12 13 15 17 20 22 24 25 25 25 24 24 23 23 24 24 24 24 24 24 24 24 25 25 24 24 23 23 23 23 23 23 nan
nan 9 8 9 9 9 9 11 12 12 12 11 10 9 10 10 11 12 11 10 10 11 11 12 12 12 11 10 9 9 8 8 8 9 10 9 9 9 9 9 8 7 7 7 6 6 6 7 8 8 8 7 7 8 9 8 7 5 6 7 8 8 9 10 11 11 11 9 8 6 3 2 1 2 4 6 8 9 9 10 9 9 8 8 8 7 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 7 8 9 10 10 10 10 10 9 8 8 9 9 8 8 9 9 8 7 6 4 2 3 6 7 5 3 3 3 3 4 6 7 8 9 8 8 8 9 9 10 12 14 15 17 19 21 21 19 18 16 15 14 14 15 18 20 22 24 24 24 22 21 19 19 18 18 18 18 18 17 16 16 16 16 17 17 17 16 16 16 16 16 16 16 nan
nan 12 12 12 13 12 12 12 12 13 13 12 12 11 11 11 11 11 11 11 11 11 10 10 10 11 10 10 9 9 8 9 9 10 11 11 11 10 10 9 9 9 8 8 7 7 8 8 8 8 7 8 8 9 9 9 8 8 8 8 8 6 6 7 9 11 11 12 10 8 5 2 1 1 2 3 4 6 8 9 10 10 9 8 7 7 8 9 9 8 6 6 6 7 7 7 7 7 7 6 6 7 8 9 9 10 11 12 11 10 9 8 8 8 8 9 10 10 9 7 6 4 4 5 7 6 3 2 2 2 3 4 6 7 8 9 8 9 9 11 12 14 16 19 23 27 30 31 29 26 23 20 18 17 17 18 20 22 23 22 21 19 17 15 13 13 12 11 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 nan
nan 13 14 14 15 14 14 13 12 12 12 12 12 12 11 11 10 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 11 11 11 11 10 9 9 10 10 9 9 8 8 7 7 7 8 9 9 9 9 8 6 4 3 4 7 9 10 12 12 9 6 3 2 2 2 2 3 4 5 7 8 9 8 8 7 7 8 9 8 8 7 7 7 7 7 7 8 8 7 6 6 6 7 7 8 8 10 11 12 12 11 9 8 7 7 9 11 11 9 8 6 5 5 7 7 6 4 2 1 0 1 3 6 8 9 9 10 10 12 14 16 19 21 24 28 33 38 38 34 31 27 24 21 19 19 21 22 22 21 18 16 13 10 9 8 7 7 7 6 6 6 6 5 5 5 5 5 5 6 6 5 5 5 5 5 5 nan
nan 12 13 13 14 14 14 13 12 12 12 12 12 12 11 10 10 9 8 10 11 11 10 10 9 9 9 9 9 9 10 10 9 10 10 11 12 12 12 13 13 13 12 10 10 11 11 11 10 10 9 8 7 6 7 8 9 10 10 8 7 4 3 3 5 7 9 11 11 9 7 4 3 3 3 4 4 4 5 6 7 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 8 8 7 6 5 5 6 7 7 7 8 9 10 11 11 10 8 7 8 9 10 11 10 9 8 7 7 7 7 6 5 4 1 -1 -2 1 5 8 10 11 12 13 15 17 19 21 22 24 27 31 35 36 35 33 30 27 24 22 22 22 21 20 16 13 10 7 6 5 5 5 4 5 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 2 2 nan
nan 9 10 11 11 12 12 12 11 11 11 12 12 11 11 10 10 9 8 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 12 12 12 12 13 13 13 13 12 12 11 11 11 11 11 10 8 7 7 8 9 10 9 9 9 8 6 5 5 5 7 9 9 8 7 6 4 3 3 4 5 6 7 7 8 9 9 9 10 9 8 7 8 8 9 10 9 9 7 7 8 8 8 7 6 6 6 6 7 7 7 7 8 9 9 9 8 8 8 9 10 11 10 9 8 8 8 8 7 7 7 6 2 -2 -4 -2 5 9 10 11 13 14 16 18 18 19 20 22 23 25 26 29 32 33 32 30 27 25 23 21 18 15 11 7 5 4 4 4 4 4 5 5 5 5 5 5 5 4 4 4 4 3 3 3 2 2 2 2 1 1 nan
nan 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 10 10 11 12 11 10 10 11 12 14 14 15 14 13 11 11 11 11 12 11 11 10 10 10 9 8 9 10 10 10 9 7 6 6 6 7 8 8 7 5 3 2 3 4 6 7 8 8 9 10 10 10 10 9 8 8 9 9 10 9 9 9 8 8 9 9 8 7 6 6 6 6 6 6 7 7 8 8 8 8 8 8 9 10 10 10 9 8 8 8 8 7 6 6 5 3 -2 -5 -2 6 9 11 12 13 14 15 16 16 17 18 19 19 20 22 26 30 33 34 32 30 27 23 18 13 9 6 4 4 4 4 4 5 6 6 6 6 6 6 6 6 6 6 5 5 5 4 4 3 3 2 2 2 2 nan
nan 8 9 9 9 10 9 9 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 11 11 10 9 9 10 12 14 15 15 14 12 11 10 10 11 12 12 12 11 10 9 9 9 10 10 11 11 10 9 8 7 7 8 9 9 6 4 2 1 2 5 7 7 8 8 8 9 9 8 7 7 7 7 8 8 8 8 8 8 9 10 9 9 8 7 7 7 7 6 6 6 7 7 7 7 8 8 9 9 10 10 10 9 8 7 7 7 5 4 4 4 2 -2 -3 2 7 10 12 12 12 13 13 14 15 16 18 18 17 17 19 23 27 30 32 32 29 24 19 13 9 6 5 5 5 6 6 7 7 8 8 9 8 9 9 9 9 8 8 8 7 7 7 6 6 5 5 4 4 4 nan
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nan 8 8 8 8 8 8 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 11 11 11 10 10 10 9 9 9 9 9 8 8 8 9 10 10 9 8 7 7 7 7 8 8 8 9 10 12 11 10 9 8 9 9 10 10 10 9 9 9 8 8 9 8 7 6 7 9 9 9 9 9 10 11 12 12 10 9 9 8 8 9 9 10 10 10 10 10 10 9 8 8 9 10 11 12 13 13 13 12 11 10 10 9 10 10 10 9 9 10 10 11 11 11 10 8 5 4 5 7 8 9 8 8 8 8 8 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 nan
nan 8 8 8 8 8 9 9 9 10 10 11 11 11 10 10 10 10 10 10 9 9 10 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 8 9 9 10 10 10 9 8 7 6 6 7 8 9 9 10 11 11 11 10 9 9 9 10 11 11 10 10 10 9 8 8 8 8 8 8 9 9 10 10 10 10 11 12 12 12 10 9 9 8 8 9 9 9 9 9 9 9 9 8 8 8 8 9 11 12 12 13 13 12 12 12 11 11 11 11 10 9 9 10 11 12 13 13 11 9 7 5 6 7 8 9 9 9 9 9 9 10 10 9 8 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 6 7 7 7 7 8 8 8 8 8 8 8 nan
nan 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 11 11 10 10 9 8 7 7 8 8 9 9 10 11 11 11 10 9 9 8 9 11 11 10 10 10 9 8 7 8 10 11 11 11 10 10 10 11 12 12 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 9 10 11 11 12 12 12 12 12 13 13 12 11 10 10 11 12 13 13 13 12 10 8 7 7 7 7 7 8 9 9 9 9 10 10 8 7 6 7 8 9 9 9 9 8 8 8 8 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 nan
nan 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 12 12 11 11 10 10 9 9 9 9 9 10 10 10 10 10 9 9 8 8 9 11 11 10 10 9 8 7 7 9 10 11 11 10 10 10 10 11 12 12 12 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 9 10 10 11 11 12 12 13 13 12 11 10 9 10 11 12 12 12 12 10 9 9 8 7 5 5 6 8 9 9 9 9 8 7 6 6 8 10 10 9 9 8 8 8 8 7 7 7 6 6 6 7 7 8 8 8 9 9 9 8 8 8 9 nan
nan 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 12 11 11 12 12 12 11 11 10 10 10 10 10 10 9 8 8 8 8 8 8 10 11 11 10 9 8 7 7 7 9 10 10 9 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 10 10 9 8 7 6 6 7 8 9 9 10 11 11 12 12 11 11 10 9 9 9 9 10 11 11 10 10 9 9 9 8 6 5 5 7 8 8 8 9 8 7 6 8 10 11 10 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 9 8 8 8 8 8 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 11 11 12 12 12 12 11 11 10 10 10 9 8 7 7 8 8 8 8 9 10 9 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 8 8 9 9 10 10 11 11 10 10 9 9 9 8 8 9 9 9 9 8 8 9 9 9 8 8 7 7 7 8 9 10 10 9 10 11 12 11 10 9 9 10 9 9 9 9 8 8 8 7 7 8 9 9 9 9 8 8 8 8 8 8 8 nan
nan 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 10 10 11 12 12 12 12 11 11 11 11 10 9 8 8 8 8 8 8 8 8 9 9 8 7 7 8 8 8 7 7 7 8 8 9 9 8 8 7 8 9 10 10 10 10 10 10 9 9 10 10 9 9 9 9 9 10 10 9 9 8 8 9 9 9 8 8 8 9 10 10 10 9 9 9 9 8 8 8 8 9 9 8 8 8 9 10 10 10 9 8 8 9 11 12 12 12 13 14 14 13 12 12 12 11 11 10 10 10 9 9 8 8 9 9 10 9 9 8 8 8 8 8 8 7 7 nan
nan 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 12 12 12 13 14 14 14 12 10 9 9 9 8 9 8 8 8 9 9 9 8 8 8 7 7 7 7 7 8 8 9 9 9 8 8 9 9 10 10 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 10 8 8 7 8 8 9 9 9 9 9 9 9 8 9 9 10 10 9 8 8 9 9 10 10 10 9 9 10 11 11 12 13 14 14 14 13 13 13 13 13 13 12 12 11 10 10 9 9 10 10 9 8 8 8 8 8 8 8 7 6 6 nan
nan 7 7 7 8 8 8 8 8 7 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 14 15 16 17 18 18 16 13 12 12 11 11 10 10 9 8 8 9 10 9 9 8 7 6 6 7 8 8 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 11 11 11 10 8 7 7 8 8 9 9 9 10 10 9 9 9 10 11 12 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 13 13 13 13 12 12 12 11 10 10 10 9 8 7 8 8 8 8 8 7 6 6 5 nan
nan 9 9 8 8 8 9 9 9 8 8 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 10 10 11 12 15 17 18 19 19 19 18 16 14 12 12 12 13 12 11 9 8 8 8 9 10 10 9 9 8 7 7 8 8 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 11 11 10 9 8 7 8 9 9 10 10 10 10 10 10 10 10 11 12 13 12 12 10 9 9 9 10 11 11 11 11 10 10 10 9 9 8 8 9 9 10 10 11 11 11 11 11 12 13 12 11 11 11 10 10 10 10 10 9 9 8 6 5 5 5 nan
nan 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 8 7 6 7 7 8 9 10 11 11 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 10 11 11 11 11 12 16 19 21 20 18 16 15 14 12 10 9 10 10 10 9 8 8 8 8 9 11 12 11 10 10 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 10 10 9 9 8 8 9 9 10 10 10 10 10 10 11 11 11 12 12 13 12 11 10 8 8 9 10 11 11 11 11 11 11 11 10 9 8 8 8 9 9 10 10 10 10 10 11 12 12 11 11 12 13 13 12 10 9 8 8 7 6 5 5 5 5 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 9 9 10 11 11 11 9 6 5 5 5 6 7 10 11 11 11 11 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 14 18 20 19 16 13 12 11 11 10 9 8 8 7 7 7 7 7 8 9 11 13 13 12 10 10 9 9 9 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 13 13 13 13 11 9 8 8 8 9 10 11 11 11 11 11 11 11 11 9 8 8 9 9 10 10 10 10 10 11 11 10 10 10 11 12 12 9 6 3 3 3 3 3 3 5 6 7 nan
nan 10 10 10 10 10 10 9 9 9 9 10 10 9 9 9 9 9 9 9 8 8 9 9 11 12 12 11 10 8 7 5 4 4 5 7 9 10 11 11 11 11 11 11 11 12 12 11 10 10 9 9 9 9 9 9 9 9 9 11 14 16 16 14 10 8 8 8 8 8 8 8 7 7 6 6 6 7 9 10 12 13 12 11 10 9 9 9 10 11 11 10 10 10 9 9 10 11 10 10 10 10 10 10 10 10 10 10 9 10 10 11 11 10 10 10 10 11 11 10 9 8 8 9 10 10 10 10 10 9 9 9 9 10 11 11 12 12 13 13 13 13 11 9 8 7 7 8 10 11 11 10 10 11 11 12 11 10 9 8 8 9 10 10 10 10 10 11 11 10 10 10 10 10 8 4 1 0 1 1 2 3 4 6 7 8 nan
nan 10 10 10 10 10 9 9 9 8 8 9 9 9 9 9 9 9 9 9 8 9 9 10 12 13 13 12 10 9 8 7 6 4 4 5 6 9 11 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 8 8 9 9 11 12 12 11 8 5 4 4 4 5 5 7 7 7 6 6 6 6 7 9 10 11 11 10 10 9 9 9 10 11 11 11 11 10 10 9 9 10 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 10 10 10 10 9 9 8 8 8 9 10 10 10 10 10 9 9 9 9 10 10 11 11 11 12 12 12 12 11 10 9 8 7 7 8 10 10 10 10 10 11 12 12 11 10 8 8 9 9 10 10 10 10 11 11 11 11 10 10 8 5 1 1 1 3 3 4 5 6 7 8 9 nan
nan 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 10 11 13 14 13 12 11 10 10 9 8 6 4 3 4 7 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 10 10 9 8 7 5 4 3 3 4 5 7 8 7 6 5 5 6 7 8 9 9 9 9 8 8 8 9 10 11 11 11 11 11 10 9 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 12 12 11 10 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 8 7 8 8 10 10 10 10 12 13 12 12 10 8 8 8 9 10 10 10 10 11 11 11 10 10 8 5 1 0 1 3 4 4 5 6 7 8 9 10 nan
nan 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 12 13 13 13 13 12 12 11 11 10 7 4 2 2 5 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 8 7 7 7 7 7 7 8 7 7 6 6 7 7 7 8 8 8 8 8 8 8 8 8 9 9 10 11 11 12 12 11 11 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 10 10 10 9 9 8 8 8 9 9 9 9 8 9 9 10 10 9 9 8 8 8 7 7 8 8 8 8 8 8 8 9 10 11 11 10 8 7 8 9 10 10 11 12 12 12 12 10 8 8 8 9 9 10 10 10 11 11 10 10 8 4 1 -0 1 3 5 5 6 6 7 8 9 10 10 nan
nan 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 9 9 9 8 8 9 10 11 12 13 13 14 13 13 13 12 10 8 4 1 1 4 8 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 12 10 8 6 6 7 9 9 9 9 8 8 7 8 7 7 7 7 7 8 8 8 9 9 10 12 12 13 12 12 10 9 9 9 9 10 10 10 11 11 11 10 10 10 10 11 11 11 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 8 8 9 9 8 8 9 10 11 11 9 7 7 8 9 10 11 11 12 12 12 10 9 8 8 9 9 10 10 11 11 11 10 9 6 2 1 2 4 6 7 7 7 8 8 8 9 9 10 nan
nan 9 9 9 10 10 10 10 10 10 10 9 10 10 10 9 9 9 8 8 8 8 9 11 12 13 14 15 14 14 12 11 10 7 5 2 1 3 6 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 9 10 13 15 14 10 7 5 4 7 10 12 12 12 11 9 8 8 8 7 7 7 7 7 7 8 8 8 9 10 12 12 13 12 11 10 10 10 10 10 11 11 11 11 11 10 10 11 12 12 12 11 10 9 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 7 7 7 7 7 8 9 9 9 8 8 8 9 11 10 7 6 6 7 9 10 11 11 11 12 12 11 9 8 8 9 9 10 10 11 11 11 10 9 7 6 6 7 7 8 8 8 8 8 8 8 9 9 10 nan
nan 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 9 11 12 13 14 15 15 14 13 12 11 9 8 6 4 2 2 4 7 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 14 16 14 9 6 4 5 7 10 12 12 13 13 11 10 9 8 8 7 7 7 7 7 8 8 8 8 9 10 11 12 12 11 11 10 9 9 10 10 11 11 11 11 10 10 11 11 11 10 9 9 10 10 10 10 9 10 10 10 10 11 10 9 8 7 7 7 7 6 7 7 8 9 10 10 9 7 7 7 8 9 8 6 5 5 6 9 10 10 10 11 12 11 11 10 9 9 9 9 10 10 11 11 11 10 9 9 10 10 9 7 7 7 7 8 8 8 8 9 9 10 nan
nan 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 12 14 15 15 15 15 14 13 12 11 10 9 8 6 3 1 4 7 9 9 8 8 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 10 10 10 10 10 12 13 13 10 8 7 6 7 8 9 10 11 12 12 12 11 11 9 8 8 8 8 7 8 9 9 9 9 8 9 10 10 11 11 10 9 8 8 8 10 11 11 11 10 10 9 10 9 9 8 9 10 11 11 10 9 9 9 9 9 10 10 10 9 8 7 7 6 6 6 7 8 9 9 10 9 7 6 5 6 7 8 7 7 6 6 7 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 11 10 10 9 10 10 8 5 4 4 5 7 8 8 8 9 10 11 12 nan
nan 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 13 15 16 16 15 15 14 13 12 11 11 10 9 7 3 1 3 6 8 8 8 7 8 9 9 9 8 8 8 8 9 9 9 9 8 8 9 9 10 10 10 10 11 11 10 8 8 8 9 9 8 8 9 9 10 11 11 11 11 10 9 9 9 8 7 8 9 10 10 9 9 8 8 9 9 10 9 8 7 6 7 9 11 12 11 11 10 9 9 9 9 10 11 12 13 12 11 9 8 8 8 8 8 9 8 8 8 7 7 6 7 7 8 8 9 9 8 8 7 6 6 6 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 8 4 2 2 3 6 8 9 9 9 10 11 12 13 nan
nan 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 13 15 16 16 16 15 14 14 13 13 12 11 10 9 7 3 0 1 4 7 9 7 7 8 9 9 9 9 8 8 9 9 10 9 9 9 9 9 9 9 10 10 10 10 9 9 8 8 9 9 8 7 7 7 8 9 9 9 9 10 9 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 6 5 5 7 10 12 13 13 12 11 10 9 9 10 11 13 13 13 12 10 9 8 8 7 7 6 7 7 8 8 8 8 8 8 8 8 9 9 8 7 7 8 8 8 9 9 10 12 13 13 13 11 10 9 9 9 9 9 9 9 10 11 11 11 10 10 10 10 10 10 10 11 10 6 3 2 3 6 8 9 9 10 10 11 12 13 14 nan
nan 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 11 13 16 18 18 16 15 14 14 14 13 12 11 10 8 5 1 -1 0 3 8 10 8 7 8 9 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 8 5 4 5 7 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 6 5 5 6 8 11 12 13 13 13 12 11 10 9 9 10 12 12 11 11 10 9 8 7 6 5 5 6 8 9 10 10 10 9 9 8 9 9 9 8 8 9 10 11 11 12 12 13 14 15 15 14 12 10 9 8 8 8 8 8 8 9 10 10 10 10 10 10 10 10 10 10 11 9 7 6 5 6 8 9 9 10 11 11 12 12 13 14 nan
nan 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 14 17 19 19 18 16 15 14 14 13 12 10 8 6 3 -1 -2 -0 4 9 10 9 9 9 10 10 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 10 12 13 9 4 1 2 5 7 9 9 9 9 9 9 9 9 9 10 9 9 9 9 8 8 8 8 8 8 7 6 6 6 7 9 10 11 12 12 12 12 11 10 9 8 9 9 9 9 9 9 9 8 7 6 5 6 7 9 11 12 11 10 10 10 9 9 10 9 9 9 10 11 12 13 14 14 15 15 15 15 13 11 10 9 8 8 8 8 8 8 9 10 10 10 10 10 10 9 10 10 10 10 10 9 9 7 7 8 9 10 11 11 11 12 12 13 14 nan
nan 11 11 11 11 11 11 10 11 11 11 11 10 10 10 10 11 11 11 11 12 15 18 20 19 18 15 14 14 13 12 11 9 7 5 1 -2 -2 1 6 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 14 15 11 6 1 -0 1 4 6 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 8 8 7 7 7 8 8 9 10 10 10 11 11 10 9 9 9 8 8 8 7 7 7 6 6 6 7 8 8 9 10 10 10 10 10 10 10 10 10 9 8 9 10 11 12 13 14 14 15 15 14 13 12 11 11 10 9 8 8 8 8 8 9 10 10 10 10 10 10 10 10 9 10 10 10 11 9 8 8 8 9 11 12 12 11 11 11 12 12 nan
nan 10 10 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 12 13 17 19 20 19 16 14 13 12 12 11 10 8 6 2 -2 -3 0 5 9 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 12 16 16 13 9 4 1 -1 -1 2 6 10 10 10 10 10 10 10 10 10 10 9 9 10 11 13 14 13 12 9 7 7 6 6 6 7 8 8 8 8 9 9 9 9 9 9 8 7 6 6 5 5 4 4 5 7 8 8 8 8 8 9 10 10 10 10 10 9 8 8 8 9 11 11 12 12 12 13 13 12 12 12 12 12 11 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 8 10 12 12 12 11 10 10 10 10 nan
nan 9 10 10 10 10 10 10 11 11 11 11 10 11 11 11 11 11 11 12 14 17 20 20 18 14 12 11 11 10 10 9 7 4 -0 -4 -2 4 8 10 10 10 10 11 11 11 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 9 10 14 17 17 15 11 7 4 -0 -2 -1 4 9 10 11 11 10 10 10 10 10 10 10 10 10 13 16 17 16 13 10 8 7 6 5 6 6 7 7 7 7 7 8 8 8 7 7 7 6 5 5 4 4 3 2 3 3 4 6 7 8 9 10 10 10 10 10 10 9 8 8 9 10 11 11 11 11 11 11 11 11 11 11 12 12 11 10 9 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 10 11 12 12 11 10 9 8 8 nan
nan 9 9 9 10 10 10 10 11 11 11 11 10 10 10 11 11 11 10 11 13 16 20 20 17 14 11 10 10 10 9 9 7 4 -2 -4 0 5 9 10 9 9 10 12 12 11 10 10 10 10 10 10 10 10 10 9 8 8 7 7 7 8 9 10 11 10 10 11 15 18 18 15 12 9 7 3 -1 -2 1 7 10 11 11 11 11 10 10 10 10 10 10 10 12 14 15 16 15 13 11 9 7 5 5 6 6 6 6 5 6 6 6 6 6 6 6 5 5 5 4 4 3 3 2 1 1 3 6 9 11 11 10 11 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 9 8 8 9 9 9 9 9 10 10 10 11 10 10 10 10 10 11 11 11 11 9 7 8 9 10 11 11 9 8 8 8 nan
nan 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 15 19 20 18 14 11 10 10 10 10 9 7 2 -4 -4 1 6 9 9 9 10 11 12 12 11 10 10 11 10 10 10 10 10 10 9 8 8 7 5 4 5 6 8 10 10 10 13 17 19 18 15 12 10 9 6 1 -2 1 6 9 11 11 11 11 10 10 10 10 9 9 9 9 10 11 13 15 15 14 12 9 7 6 5 5 5 5 4 5 5 5 5 5 5 5 5 5 5 5 5 4 4 4 3 2 4 6 9 11 11 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 9 10 11 11 12 12 12 11 9 8 8 9 9 9 10 10 10 11 11 11 11 11 11 11 12 11 11 11 11 9 8 7 7 9 11 12 11 10 9 8 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 11 14 18 20 19 15 12 10 10 10 10 9 7 1 -5 -4 0 5 8 9 10 11 11 11 11 10 10 10 11 10 10 9 9 10 11 11 11 12 10 6 3 1 2 4 8 9 11 14 18 19 18 14 12 11 9 6 1 -1 2 6 10 11 11 10 10 10 9 9 9 8 8 8 8 8 8 10 12 13 14 14 12 10 8 6 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 6 7 9 10 10 9 10 10 11 12 12 11 11 10 9 9 9 9 9 9 9 10 11 11 12 12 12 10 9 8 8 9 9 10 10 11 11 11 11 11 11 11 12 12 12 11 11 11 10 10 9 8 7 9 12 15 15 13 11 11 nan
nan 9 9 9 10 10 10 9 9 9 9 9 9 10 10 9 9 9 9 9 10 13 16 20 21 17 13 10 9 9 10 9 7 1 -5 -5 -3 3 8 10 10 11 11 10 10 9 9 10 10 10 10 9 8 9 10 12 15 17 15 11 7 2 0 1 4 7 10 14 17 18 17 14 12 11 9 5 1 -0 2 7 10 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 9 11 12 13 13 12 11 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 9 8 8 8 8 7 6 6 7 8 9 9 9 9 10 11 12 12 11 11 10 10 9 9 9 9 9 10 10 10 10 12 12 11 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 9 8 11 14 16 15 14 15 15 nan
nan 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 9 9 9 10 10 11 14 19 21 19 14 11 9 9 9 8 6 2 -4 -7 -6 0 7 9 10 10 10 10 9 9 9 9 9 10 10 9 8 8 9 12 16 19 19 17 14 8 2 1 3 5 8 11 14 15 14 13 12 11 9 5 0 -1 1 6 10 10 9 9 9 9 9 9 8 9 9 9 9 9 9 8 8 9 9 10 11 11 12 11 11 11 12 13 13 13 13 13 12 12 13 12 12 13 13 13 12 10 10 9 9 9 10 10 10 10 9 9 9 10 10 11 11 11 11 11 10 9 9 9 9 10 10 9 9 9 11 10 10 9 9 9 10 10 10 10 10 10 9 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 10 11 13 13 13 14 16 17 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
43 44 47 51 52 51 50 57 58 52 40 25 13 7 9 12 27 43 53 76 93 88 70 56 47 34 20 9 3 1 3 8 12 15 18 17 14 8 2 0 0 0 0 0 0 0 0 0 0 0 2 2 3 4 5 6 7 9 9 9 7 8 11 16 23 30 31 23 16 7 1 0 0 0 0 0 0 0 0 2 3 2 0 0 0 0 3 7 11 12 9 9 14 12 6 6 5 3 2 3 4 5 7 10 16 21 21 20 22 30 37 41 45 54 65 76 90 107 125 123 110 101 92 83 77 72 72 79 94 116 156 205 252 293 329 346 338 321 283 245 213 184 153 120 85 56 37 25 17 12 10 10 5 3 1 1 2 3 4 3 2 3 3 2 3 4 4 5 4 3 3 4 4 4 6 7 8 10 10 10 9 10 12 14 14 11 9
41 41 46 54 61 62 58 56 55 47 37 25 18 16 18 19 34 44 63 81 87 77 58 45 39 31 25 20 15 10 8 9 11 12 15 17 15 11 5 1 0 0 0 0 0 0 0 0 0 0 0 2 4 6 8 10 13 16 16 14 10 9 12 17 25 31 30 21 14 6 1 0 0 0 0 0 0 1 2 3 3 1 0 0 0 0 1 3 5 6 8 5 7 7 3 2 3 2 2 3 4 6 8 8 12 16 17 18 21 25 29 33 38 47 60 75 91 116 133 128 117 104 88 74 65 57 50 43 47 58 80 105 133 162 194 235 263 273 262 242 222 210 207 182 137 99 69 46 31 23 19 15 11 6 3 3 3 5 4 2 2 3 3 4 5 6 6 7 6 5 6 6 6 4 5 5 7 9 11 11 9 7 9 13 15 13 10
40 37 39 48 55 57 52 47 48 44 37 31 27 28 32 37 46 52 58 66 68 56 40 34 36 33 31 28 26 21 14 10 11 13 15 17 16 12 7 2 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 9 12 16 17 14 11 13 17 21 25 27 25 20 11 3 0 0 0 0 0 0 0 1 2 4 4 2 1 1 1 0 1 1 2 4 7 5 1 1 1 2 2 1 2 3 2 5 7 8 10 11 12 15 19 19 24 29 35 42 53 70 88 108 119 121 119 111 97 81 68 57 46 39 37 37 41 51 65 79 92 101 122 132 133 139 151 170 194 201 183 152 113 73 49 35 28 25 20 13 8 7 7 7 6 4 3 3 4 5 7 9 9 8 8 7 6 6 6 6 5 5 6 7 9 9 8 6 6 9 11 11 10
53 42 38 40 44 45 44 43 46 47 45 41 41 46 51 56 61 63 61 58 54 45 32 29 35 35 34 32 29 24 18 10 12 14 16 17 15 11 5 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 4 9 15 15 14 15 19 23 25 25 25 25 20 12 5 1 1 2 1 1 1 0 0 1 1 1 0 1 2 1 0 0 1 2 5 8 5 3 2 2 2 1 0 0 0 1 3 5 7 8 7 8 13 18 20 25 31 37 42 49 65 84 96 100 102 102 98 91 82 72 62 52 48 45 40 36 35 34 37 33 35 40 39 39 53 85 126 157 180 190 186 161 109 75 56 44 36 31 24 17 13 10 10 8 6 5 4 4 5 7 8 10 10 11 10 7 7 6 6 6 6 6 5 6 6 8 7 6 7 8 9 9
87 68 53 45 42 42 42 44 49 54 55 53 54 61 65 66 64 59 53 53 54 45 36 33 37 38 38 36 32 26 21 17 17 17 16 16 14 11 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 15 16 18 21 25 28 27 24 23 26 22 15 9 6 7 8 7 5 2 0 0 0 0 0 0 1 1 1 0 0 1 2 3 4 5 9 8 4 2 1 0 0 0 2 4 6 8 8 8 8 13 16 20 24 31 38 44 49 61 77 91 96 90 83 81 79 75 72 67 63 59 54 45 36 28 19 15 10 6 5 6 7 22 58 105 143 170 183 194 194 158 113 80 58 47 41 35 28 21 17 13 10 9 7 4 5 5 4 6 9 11 11 13 10 8 7 8 7 7 7 6 5 5 6 6 6 6 6 8 8
125 108 87 67 54 51 52 55 63 66 64 60 58 60 61 57 53 49 46 49 55 47 42 40 41 40 40 38 33 29 26 32 35 32 24 16 12 8 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 13 17 21 23 25 27 29 27 21 24 25 22 18 16 16 15 15 13 9 5 1 0 0 0 0 0 0 1 0 0 0 1 3 9 8 9 13 13 7 2 1 0 0 1 2 5 7 10 10 9 10 10 13 19 25 30 35 40 45 56 67 77 83 80 74 71 67 64 65 66 65 61 54 43 30 21 12 7 4 2 1 1 3 15 51 111 176 214 207 202 205 197 155 108 77 58 49 43 37 30 26 23 19 14 11 6 6 6 5 6 8 10 11 14 12 9 8 10 8 7 6 6 5 5 5 5 4 4 4 5 7
135 132 120 99 75 74 70 70 75 76 71 62 54 49 46 44 42 41 42 49 56 52 47 45 43 42 42 40 34 30 29 39 47 44 31 17 9 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 15 16 21 25 27 28 29 30 28 21 27 30 32 33 32 28 22 19 18 14 9 3 0 0 0 3 3 3 2 1 0 0 1 2 4 8 13 17 16 8 2 0 0 1 2 4 6 7 8 9 8 8 8 9 13 20 24 26 29 33 38 43 48 50 53 57 56 52 50 52 53 53 49 44 35 25 16 10 6 4 4 3 4 7 18 52 122 219 280 271 228 207 211 194 146 100 69 58 52 47 41 36 32 26 21 18 12 8 6 4 4 8 9 11 15 15 10 8 9 8 6 4 4 4 5 5 5 4 2 2 3 5
108 119 125 121 103 97 88 88 92 91 80 64 51 42 40 41 38 35 39 50 57 54 49 48 47 47 46 43 36 30 31 40 46 38 25 17 11 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 12 14 17 24 30 33 33 31 27 24 24 32 38 43 44 41 34 27 23 20 17 13 8 5 2 2 6 8 9 7 3 0 0 1 2 3 4 6 11 15 7 3 1 0 0 1 3 3 2 2 3 4 4 4 4 6 8 11 13 15 17 18 19 19 19 19 29 35 35 34 34 35 39 39 36 28 20 14 9 7 6 5 6 8 10 18 47 114 218 304 320 263 217 209 208 179 131 90 75 66 60 55 49 44 40 33 28 22 15 8 4 2 5 7 11 15 17 14 9 8 10 8 5 3 3 4 4 5 4 3 2 2 3
73 88 104 108 101 91 84 86 92 92 81 65 51 44 44 39 31 28 36 51 60 57 52 50 51 51 49 43 37 32 33 37 36 27 19 15 13 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 1 6 10 12 17 25 34 39 37 31 25 23 27 37 46 51 50 41 34 27 22 20 20 20 16 13 10 7 8 11 13 12 7 2 0 1 2 3 3 3 4 8 4 2 1 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 3 4 4 4 4 5 4 13 18 19 18 19 21 26 29 27 22 17 13 9 7 6 6 8 10 14 22 46 116 222 322 361 321 262 225 207 196 168 129 103 86 75 66 58 54 51 46 39 32 26 20 9 6 6 7 10 14 18 18 11 8 8 7 7 5 3 3 3 5 4 3 2 1 1
54 62 74 72 67 62 61 65 72 73 69 60 49 47 43 33 24 27 40 55 64 63 59 57 57 55 51 43 35 32 30 32 31 27 21 16 16 12 6 1 0 0 0 0 0 0 0 0 0 0 0 1 4 8 10 11 16 27 40 45 42 32 25 27 33 42 51 54 49 41 33 27 22 23 26 27 23 19 16 12 10 11 12 12 9 4 2 0 0 1 2 3 2 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 4 7 9 10 11 14 17 20 19 18 17 14 11 8 6 6 9 14 22 36 62 133 237 345 389 367 317 265 222 203 190 165 139 118 96 82 70 65 61 56 50 41 34 26 16 12 10 10 12 15 17 20 13 9 7 6 6 5 2 2 2 3 2 2 2 1 2
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