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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 7 7 7 7 7 7 6 5 6 6 6 6 6 6 7 7 7 8 8 7 6 6 6 6 7 7 6 7 7 7 7 7 8 8 9 9 9 8 8 8 7 7 8 9 9 9 8 7 6 6 5 6 7 8 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 9 9 10 10 11 11 13 17 20 21 16 8 4 3 2 2 3 7 9 10 10 8 7 5 4 3 1 -1 -0 2 5 7 11 15 19 20 16 11 8 7 6 6 6 6 6 6 6 7 8 8 8 7 6 5 6 9 12 15 18 20 23 24 20 13 7 4 4 5 7 9 12 15 18 20 22 21 18 14 13 12 11 11 11 10 9 9 9 8 8 8 9 9 8 8 8 8 9 9 10 10 11 nan
nan 7 7 7 7 7 7 8 8 8 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 7 6 6 6 6 7 6 6 6 6 7 7 7 8 8 9 9 9 8 8 7 7 7 7 7 7 7 6 6 6 5 5 6 8 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 7 7 7 8 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 11 12 15 18 20 18 12 5 4 4 2 1 3 6 9 10 9 8 5 4 2 1 -1 -1 1 3 6 8 11 14 18 19 17 13 10 8 7 6 6 6 5 6 6 7 7 7 6 6 5 5 8 12 17 20 22 21 19 17 12 7 4 4 4 6 9 12 16 20 23 25 25 23 18 13 11 10 9 9 8 8 8 8 8 9 9 9 9 8 8 9 9 8 8 8 9 10 11 nan
nan 8 8 7 7 7 7 8 8 8 8 7 7 7 7 8 8 9 8 8 8 9 9 8 7 6 5 5 6 6 6 6 6 6 6 6 7 7 8 8 8 9 9 8 8 7 7 7 7 6 6 6 6 6 6 5 5 7 8 9 9 9 8 8 8 7 7 7 7 7 7 6 7 7 7 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 10 10 10 11 11 12 15 17 18 15 10 4 2 2 0 -1 2 5 8 8 7 5 3 1 -0 -1 -1 0 3 5 7 9 11 13 15 15 14 13 11 10 8 6 5 5 5 6 6 7 7 6 6 5 6 8 11 15 19 20 18 14 9 6 5 4 4 5 5 7 9 13 17 21 24 24 22 18 14 11 9 7 5 5 5 6 6 7 8 9 10 10 9 9 8 8 7 7 6 6 7 8 10 nan
nan 8 8 8 7 7 8 8 8 8 8 8 7 7 8 9 9 9 9 9 9 9 8 8 7 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 7 8 8 8 8 8 8 7 7 7 7 7 7 6 7 7 8 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 10 10 11 11 11 12 12 13 14 15 12 8 4 0 -2 -3 -3 -1 3 5 6 4 1 -0 -1 -1 -1 0 3 5 7 9 11 11 12 11 10 10 10 11 11 9 6 4 4 5 5 5 6 6 6 6 6 7 10 14 17 17 15 10 5 1 -0 2 4 5 5 5 6 7 10 14 17 19 18 15 12 9 8 6 3 2 2 3 4 5 7 8 8 8 8 8 7 6 5 4 5 5 5 6 7 8 nan
nan 8 8 8 8 8 8 8 8 8 9 8 8 8 9 9 9 9 9 9 9 9 9 8 7 7 6 7 7 6 5 6 6 6 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 6 7 7 8 7 7 7 7 7 7 7 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 7 7 7 7 7 7 8 8 9 9 10 10 11 11 11 12 12 12 12 11 11 11 9 6 2 -2 -4 -3 -1 0 1 3 3 1 -1 -2 -2 -1 1 3 6 8 10 11 12 11 10 9 7 7 9 11 12 10 7 5 4 4 5 5 6 6 7 8 9 9 11 14 16 13 8 4 2 2 3 5 5 4 4 4 4 5 6 8 10 11 9 8 7 7 6 4 2 0 1 2 3 5 6 6 6 4 4 4 4 3 3 3 5 6 7 7 6 5 nan
nan 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 7 7 7 7 7 6 6 7 7 6 6 7 8 9 9 9 8 8 7 7 7 8 8 8 8 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 8 8 9 9 10 11 11 11 12 12 12 13 13 12 11 10 8 5 3 0 -1 -1 2 5 5 3 2 1 -0 -1 -1 -1 1 3 6 9 11 12 13 13 12 10 9 8 8 9 10 12 11 8 6 5 5 5 6 6 7 9 11 12 12 13 13 13 8 4 5 7 9 10 9 6 4 4 5 4 3 3 5 6 6 4 5 6 6 5 4 3 2 3 3 3 3 4 4 3 1 -0 -0 0 2 3 5 7 9 9 8 5 2 nan
nan 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 8 8 7 7 8 9 10 10 10 9 9 8 8 8 8 8 8 8 8 7 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 12 12 13 13 13 13 13 12 11 9 6 1 -1 0 2 6 10 12 10 7 3 1 1 1 1 1 3 5 8 11 14 15 15 14 14 13 13 12 11 10 11 11 11 9 7 6 6 7 7 8 8 10 13 15 16 14 13 10 8 8 11 14 15 13 10 7 5 7 7 7 7 8 9 8 6 5 6 6 6 5 5 5 6 5 3 1 1 1 1 0 -1 -3 -3 -2 1 4 7 9 10 9 7 3 -1 nan
nan 10 9 9 9 9 9 9 9 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 13 13 14 14 14 14 13 12 11 11 9 5 0 -2 1 6 10 13 14 12 9 6 4 3 3 3 3 4 7 11 14 17 17 16 15 16 18 19 18 16 13 12 12 12 11 9 8 8 9 9 9 10 12 16 19 18 15 13 12 13 15 17 16 14 11 9 9 9 11 12 13 14 15 13 9 6 5 6 5 4 4 5 7 7 5 1 -2 -3 -3 -2 -2 -1 -2 -3 -3 0 4 7 9 10 8 5 1 -3 nan
nan 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 13 14 15 15 15 15 14 13 12 11 10 8 5 -0 -3 0 4 7 10 11 11 9 7 5 5 4 4 4 6 9 13 15 16 16 15 15 18 21 23 23 20 17 15 14 13 12 10 9 9 10 10 10 12 14 18 20 19 16 16 17 19 19 16 13 11 11 12 13 14 15 15 16 17 15 10 6 3 3 3 2 2 4 6 7 6 3 -2 -4 -4 -3 -3 -1 1 2 -0 -2 -0 3 6 8 8 7 4 -1 -4 nan
nan 9 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 8 8 8 9 9 8 9 8 8 8 8 8 8 8 8 7 7 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 9 9 10 12 13 14 15 16 16 17 16 15 14 13 11 10 8 6 3 -1 -2 0 3 6 8 9 8 7 5 5 5 5 5 7 9 12 14 14 14 12 12 14 18 21 22 22 21 19 17 16 14 13 11 11 11 11 11 12 13 15 17 19 18 18 19 19 17 14 10 7 8 11 15 18 19 19 17 15 12 7 3 1 0 1 2 3 3 5 5 5 3 -0 -3 -1 1 1 0 2 5 7 4 0 0 3 6 7 7 6 3 -1 -4 nan
nan 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 7 8 9 10 11 12 11 11 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 11 12 14 15 16 17 18 18 17 16 15 14 12 11 9 6 2 -1 -1 1 4 7 9 10 10 8 6 5 6 6 7 8 10 12 14 14 13 11 10 11 14 17 18 17 15 15 16 16 14 13 12 12 12 12 12 13 13 14 14 15 16 16 17 17 13 9 5 3 2 5 10 16 20 21 19 15 11 5 -0 -2 -2 0 2 4 5 6 5 3 0 -3 -4 -4 0 5 5 4 6 8 9 7 4 2 3 6 7 7 6 4 -0 -3 nan
nan 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 9 9 9 9 9 9 8 8 8 8 9 9 8 8 8 7 7 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 6 7 9 10 11 11 11 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 12 13 14 16 18 18 19 19 18 17 15 13 12 12 12 11 7 1 -3 -1 3 7 11 14 14 13 11 10 11 12 12 12 12 13 14 14 13 12 10 9 10 13 14 14 11 9 9 11 12 12 12 12 13 13 14 15 15 15 14 13 12 12 12 12 9 5 2 -0 -1 1 4 9 15 18 18 14 9 3 -2 -4 -3 -0 2 4 6 6 5 3 -1 -5 -7 -7 -6 -3 3 8 9 10 11 10 8 6 4 3 6 8 9 7 5 1 -0 nan
nan 9 10 10 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 8 7 7 6 6 6 6 6 6 6 7 6 6 6 6 6 6 5 5 4 4 5 7 8 9 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 8 9 9 8 8 8 8 8 8 8 8 8 9 10 11 12 13 14 15 17 18 18 19 18 18 18 15 12 10 9 10 12 12 8 3 -1 -0 3 6 10 14 15 14 13 15 19 21 19 16 13 12 12 11 11 10 9 9 10 11 12 11 8 7 7 8 10 10 10 11 12 13 14 15 15 15 14 12 10 9 9 8 7 5 3 2 3 5 8 11 13 13 10 5 0 -3 -4 -3 -0 2 3 3 3 3 3 1 -2 -4 -5 -5 -5 -4 1 8 13 13 12 10 8 6 3 2 4 8 10 9 6 3 2 nan
nan 10 10 11 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 10 10 11 11 11 10 10 10 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 6 7 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 9 10 11 12 13 15 16 18 19 19 19 18 18 17 15 12 8 5 4 6 10 11 9 6 3 2 3 6 8 10 10 11 14 19 24 24 20 14 10 7 7 8 9 10 11 11 10 10 9 9 8 7 8 9 9 9 10 10 11 12 13 13 13 13 12 10 9 8 9 9 11 11 10 10 11 13 13 11 9 5 1 -3 -4 -4 -2 0 1 1 1 1 2 2 1 1 2 4 4 3 1 0 3 8 12 12 10 8 7 5 3 1 2 6 10 10 8 5 4 nan
nan 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 6 5 5 5 6 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 10 12 13 14 16 17 18 20 21 22 21 19 17 15 12 8 4 2 2 4 7 9 8 6 3 2 5 8 9 6 6 10 16 21 22 19 13 8 4 3 5 7 9 12 13 13 11 9 8 7 8 9 9 9 8 8 8 9 10 11 12 12 12 12 11 9 9 10 11 12 14 15 15 17 18 17 14 9 4 0 -3 -5 -2 0 1 0 -1 -2 -1 1 2 2 1 1 4 10 13 12 9 7 7 8 10 10 7 6 6 7 6 3 1 5 10 12 10 7 4 nan
nan 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 7 7 6 5 5 5 6 6 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 12 13 14 16 17 18 19 20 22 23 24 22 19 16 12 9 6 3 3 4 5 6 7 5 2 -1 -0 4 8 8 5 7 13 17 18 15 10 6 3 2 3 5 8 10 12 15 15 13 10 7 7 8 8 8 7 7 7 8 9 10 11 11 11 10 9 8 7 8 10 11 12 12 13 14 15 14 12 9 5 2 -0 -1 0 2 3 0 -2 -4 -3 -0 1 2 2 1 1 3 10 15 16 14 12 10 10 9 8 6 5 6 9 10 6 2 4 10 13 12 8 4 nan
nan 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 10 10 11 11 11 10 10 10 10 10 10 10 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 6 6 6 6 7 8 8 7 8 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 9 10 12 12 13 15 16 17 18 20 20 21 21 22 23 23 20 16 13 10 7 5 5 5 7 7 5 3 1 -2 -2 0 5 7 7 7 10 14 15 12 7 3 2 2 3 4 5 7 9 12 15 17 16 13 10 8 7 7 6 6 6 6 8 9 10 10 9 7 4 3 3 5 7 7 8 8 8 8 7 6 5 3 2 1 1 2 5 6 5 2 -1 -3 -3 -2 0 2 2 3 3 2 3 5 9 12 13 12 11 10 10 9 7 5 6 10 12 9 5 4 9 13 12 9 4 nan
nan 10 10 10 10 11 11 11 11 10 11 11 12 11 11 11 11 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 9 11 12 13 14 16 17 18 19 20 21 20 20 19 19 18 15 12 10 8 7 6 6 7 7 6 2 -1 -2 -1 4 9 12 12 10 10 11 12 10 5 1 -1 -0 1 3 5 6 8 11 14 17 19 20 19 16 12 9 7 7 6 6 7 8 8 7 6 4 0 -3 -3 -0 5 8 7 6 6 5 3 1 0 -0 -0 -0 0 2 5 7 7 5 2 -0 -1 -1 0 1 3 5 6 7 6 3 1 1 3 5 6 7 8 10 10 9 6 6 10 12 10 7 6 9 12 12 9 5 nan
nan 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 11 11 12 13 15 17 18 19 19 19 17 16 14 13 12 10 9 7 7 7 7 7 7 7 5 1 -1 -0 5 12 18 19 17 13 11 9 6 3 0 -1 -1 -0 2 4 7 9 11 14 16 17 18 19 21 20 16 12 11 10 10 9 9 8 7 4 2 -1 -4 -6 -6 -1 5 9 10 9 7 6 4 2 2 3 3 3 3 4 6 7 6 4 3 2 2 2 3 4 7 9 11 10 9 5 1 -1 -2 -0 1 3 6 9 11 11 9 7 9 10 9 7 8 10 13 14 11 7 nan
nan 10 10 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 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 11 12 13 15 17 19 20 20 20 19 18 16 14 12 11 10 8 7 6 5 5 6 7 7 7 7 5 2 1 4 8 13 15 15 12 9 7 4 2 0 -1 -0 1 2 5 8 11 13 14 16 16 15 14 16 18 19 17 15 14 14 14 12 11 10 7 3 -0 -3 -4 -4 -4 -1 4 8 10 11 10 9 8 8 8 8 8 7 6 6 6 6 5 4 3 2 3 4 5 8 11 14 15 14 11 7 4 2 2 3 4 4 5 8 11 12 11 9 7 7 6 7 9 13 15 15 12 9 nan
nan 10 10 11 11 10 10 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 10 10 10 9 9 9 9 8 8 8 9 9 9 10 10 9 9 9 9 9 9 10 10 9 9 8 8 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 11 13 16 19 22 26 28 30 29 26 22 18 15 12 10 9 9 9 8 6 4 3 3 4 4 5 5 6 5 4 4 5 5 5 4 1 0 1 1 2 1 1 1 3 5 9 12 15 16 16 16 15 13 11 11 12 14 14 13 13 13 14 14 14 13 11 9 5 1 -1 -1 -1 -2 -2 2 7 9 10 11 10 10 9 9 9 9 7 6 5 5 5 4 3 2 2 2 5 7 11 15 18 19 17 14 11 8 8 9 11 10 8 6 7 10 12 12 9 7 5 5 7 11 15 16 16 13 11 nan
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nan 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 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 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 11 14 18 19 20 20 22 24 24 19 13 10 8 8 8 7 5 2 2 3 4 4 4 3 4 4 4 3 3 4 5 5 4 2 1 -1 -2 -1 -0 1 1 2 2 4 9 17 24 26 21 16 13 12 11 11 11 11 12 12 11 9 6 5 6 9 12 12 10 7 6 6 7 10 11 10 5 1 -0 2 8 11 12 10 7 5 4 3 3 5 8 10 9 6 4 5 7 10 12 13 15 16 17 19 19 19 16 14 13 12 11 11 11 12 13 13 10 8 7 7 7 7 8 11 14 17 18 16 13 9 nan
nan 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 12 14 15 15 13 13 13 14 14 12 9 8 6 5 4 3 2 0 -1 -0 1 3 5 6 9 10 10 9 7 6 6 5 4 2 0 -0 -0 0 1 1 1 1 2 4 9 17 23 23 18 13 10 10 10 11 13 14 14 14 12 9 6 4 5 9 13 14 11 6 2 0 2 6 11 11 9 6 5 7 11 13 13 11 9 6 5 3 3 5 8 10 11 10 9 10 12 13 13 14 14 14 15 16 17 15 12 9 6 6 7 8 10 12 13 13 10 8 6 6 6 6 8 11 14 17 18 16 12 8 nan
nan 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 10 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 12 13 13 12 11 10 10 10 10 10 9 8 5 1 -0 -0 0 1 1 1 3 6 9 12 15 16 15 13 11 10 9 7 5 3 1 0 1 1 1 1 1 2 3 5 7 13 17 19 17 14 11 9 9 11 15 17 18 16 14 10 6 3 4 9 15 16 12 5 -0 -3 -2 2 8 11 11 11 11 11 12 12 12 11 9 7 6 5 5 7 10 13 14 15 16 15 14 13 12 12 12 11 12 13 14 13 10 7 5 5 6 8 9 10 10 10 8 7 6 5 6 6 8 10 14 17 18 16 12 9 nan
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nan 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 13 15 16 16 14 14 14 14 12 8 5 4 5 7 9 12 16 21 21 17 10 4 3 7 12 16 19 19 17 15 13 12 11 10 9 9 10 11 13 15 17 19 19 16 12 9 9 12 14 11 6 1 -0 0 4 11 18 20 18 15 13 10 7 6 8 11 12 12 9 7 5 7 10 14 15 13 9 6 4 4 5 5 5 4 4 5 7 10 14 15 13 10 8 7 7 8 10 12 13 14 14 13 13 12 11 11 12 12 11 9 5 3 3 5 7 7 6 4 2 0 -0 1 4 10 16 19 18 16 14 nan
nan 9 9 9 9 9 8 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 13 14 15 16 15 13 12 11 10 7 5 3 2 5 9 13 16 17 19 19 16 9 4 3 6 10 13 15 16 15 13 11 10 9 8 8 9 10 11 14 17 20 22 21 17 12 8 9 11 10 6 1 -1 -2 -1 3 9 17 19 15 12 11 10 9 9 9 9 9 9 9 8 8 9 11 13 13 12 9 7 6 5 5 4 3 3 4 6 9 13 14 13 9 5 3 4 5 6 9 11 12 12 11 11 11 11 11 12 12 11 8 5 3 3 6 8 8 6 3 1 1 0 -1 -1 2 8 14 19 20 19 18 nan
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nan 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 9 9 9 8 8 8 11 13 14 14 13 11 10 10 9 8 7 7 8 11 12 12 10 8 9 10 11 10 9 9 8 6 2 -0 2 7 13 15 16 17 18 19 19 16 13 11 10 10 11 12 12 13 15 16 17 15 10 5 4 5 8 9 9 8 8 8 8 11 16 20 18 13 9 7 7 7 8 9 12 14 15 13 9 7 7 9 11 12 13 13 12 10 7 5 1 0 4 9 13 14 13 11 10 10 11 11 10 8 5 3 2 3 3 4 4 4 4 3 3 4 6 9 10 12 14 16 15 13 9 8 10 11 13 12 10 7 2 -1 -3 -3 -2 1 nan
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nan 7 7 7 7 7 8 8 8 8 8 8 8 7 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 11 15 21 27 30 29 22 16 13 12 11 11 11 11 11 13 14 14 14 13 12 12 10 6 4 5 7 12 16 19 20 19 17 13 10 7 7 9 10 10 11 11 10 9 7 7 8 9 9 9 7 6 6 5 4 4 3 3 2 2 3 6 9 12 15 17 17 16 16 15 13 11 9 8 8 8 9 9 10 9 10 10 10 9 9 9 9 9 9 12 16 16 15 13 12 11 10 9 7 7 8 8 8 8 6 5 6 8 9 9 9 7 7 8 9 9 10 11 11 11 10 10 9 9 9 10 10 9 9 9 8 7 7 6 5 5 6 8 9 11 11 11 11 13 15 16 15 14 12 10 9 8 7 5 4 4 6 8 11 15 16 nan
nan 6 7 7 7 7 7 8 8 7 7 7 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 11 11 11 11 11 14 20 26 29 28 23 16 13 11 11 11 11 11 11 11 12 13 13 12 12 11 9 6 5 7 10 15 18 17 14 11 9 7 5 3 3 4 6 7 9 10 12 11 10 9 10 12 12 12 11 9 7 7 6 6 5 4 2 2 4 6 8 11 14 16 14 12 13 15 16 14 10 7 7 8 9 9 10 10 9 9 9 9 9 9 9 8 9 12 16 14 12 11 11 12 12 10 9 9 9 8 8 7 4 3 4 6 9 10 9 7 7 8 9 9 10 10 11 9 8 7 8 8 9 9 9 8 8 8 8 7 6 6 6 6 8 9 11 11 11 11 12 13 15 15 14 12 11 10 10 9 7 6 5 6 7 10 13 15 16 nan
nan 6 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 11 11 12 14 18 25 28 28 25 18 12 11 11 12 14 14 13 11 11 12 12 12 11 9 7 6 7 9 13 17 19 15 9 5 3 2 2 2 4 5 5 6 8 11 14 15 13 10 10 11 11 12 12 12 11 9 9 8 8 8 7 7 7 7 7 8 11 12 11 9 10 14 16 16 13 8 7 8 9 9 10 10 9 9 9 8 8 8 8 8 8 11 13 13 11 12 13 14 12 9 8 8 9 8 7 6 5 4 4 6 8 10 10 8 8 9 10 11 11 12 12 11 8 8 9 9 9 9 8 8 8 7 7 7 8 9 10 11 12 12 12 12 12 12 12 14 15 15 13 11 9 9 9 9 8 7 7 8 9 11 13 15 15 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 10 9 9 10 10 11 12 12 14 18 24 30 31 27 21 15 12 12 13 15 16 13 11 10 11 13 13 12 9 6 5 6 10 14 17 18 15 9 3 0 -0 1 4 6 8 8 8 10 13 16 16 12 8 7 7 8 8 9 11 11 10 10 10 11 12 13 12 11 8 7 7 8 10 9 7 8 11 14 16 15 12 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 11 12 14 14 14 14 12 9 7 8 9 9 9 7 7 7 8 7 8 9 10 10 9 9 9 10 11 12 13 12 11 11 11 11 11 10 8 8 8 8 7 7 8 10 13 15 16 15 15 14 13 13 12 13 15 15 15 13 9 7 6 7 7 7 7 8 8 10 13 14 14 13 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 9 9 10 11 11 11 14 19 25 30 32 27 22 17 14 13 13 14 14 12 9 9 11 14 15 14 11 8 6 6 8 12 17 19 17 11 5 1 0 2 6 10 12 12 12 13 16 18 17 12 8 7 7 7 6 7 8 8 8 9 9 11 13 14 15 14 12 11 10 10 11 10 7 6 7 10 14 16 15 13 11 10 9 9 9 8 8 8 8 9 9 10 10 10 11 12 12 13 13 11 9 8 9 10 10 10 9 7 8 10 12 11 10 9 8 8 8 8 9 10 11 12 12 12 13 13 13 12 10 8 8 9 9 9 7 7 8 10 12 14 15 15 15 15 14 14 14 14 15 14 12 9 6 5 5 5 6 7 7 8 9 12 14 14 13 12 nan
nan 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 10 10 9 9 10 11 11 11 13 19 25 29 30 26 21 17 14 12 11 11 12 11 9 9 11 14 16 16 14 10 7 6 7 10 15 19 18 14 9 5 3 4 8 12 14 13 13 14 16 18 16 13 11 12 11 10 8 7 7 6 6 6 7 8 11 13 15 17 17 16 15 14 12 10 9 8 7 8 11 14 15 13 11 10 9 9 9 8 7 7 8 9 10 11 11 11 11 10 10 9 9 9 9 10 11 11 11 9 8 8 10 12 13 12 10 7 5 4 4 5 6 8 9 10 10 11 12 12 12 11 10 9 11 12 11 10 8 8 9 10 12 13 14 16 16 16 15 16 17 18 16 12 8 4 3 5 7 7 8 8 8 10 11 13 14 14 12 11 nan
nan 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 8 8 9 9 9 9 9 10 10 11 11 11 12 17 24 28 29 26 19 14 12 11 10 10 11 10 8 7 9 12 15 16 14 11 8 7 7 9 13 17 19 16 12 9 7 7 10 12 12 10 9 9 10 12 13 12 12 14 14 13 11 9 7 6 5 5 6 8 11 14 16 17 18 17 14 11 9 7 8 10 10 10 10 11 12 11 10 9 10 10 9 8 7 7 9 10 11 12 11 11 10 9 9 10 11 11 11 11 11 11 10 8 9 11 13 14 12 10 8 6 4 3 4 4 5 6 7 7 7 7 8 9 9 10 11 12 14 14 12 10 9 9 10 12 14 16 17 18 18 17 16 16 18 19 16 11 6 3 3 6 8 9 9 10 10 11 12 13 14 13 12 11 nan
nan 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 11 11 11 12 15 22 27 28 26 19 14 12 11 11 11 12 11 8 6 7 10 12 14 12 10 9 8 8 10 13 18 20 18 15 12 10 10 11 11 9 6 3 3 4 6 8 8 9 10 11 12 12 10 8 7 6 6 7 10 14 16 15 14 13 11 8 5 3 4 5 8 11 12 11 10 10 9 8 8 8 9 9 8 8 8 9 11 12 12 10 9 8 9 10 13 15 16 15 13 11 9 8 9 10 13 15 14 12 10 8 6 5 6 7 8 9 8 6 5 5 6 7 8 9 9 10 11 12 12 11 9 8 8 9 11 15 18 20 20 19 16 13 11 13 14 13 10 5 2 3 7 9 9 9 10 11 11 11 12 12 12 11 10 nan
nan 7 7 7 7 7 7 8 8 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 9 9 9 9 10 10 11 11 12 15 20 26 29 26 21 16 14 14 14 15 15 13 9 6 6 9 11 12 11 9 8 8 9 11 15 19 21 19 15 13 12 11 11 10 7 4 2 2 3 5 6 5 5 6 7 8 9 8 7 6 6 7 10 14 18 17 14 10 7 4 2 2 3 4 6 7 9 10 9 9 8 8 7 6 5 6 8 8 8 9 10 12 13 12 10 8 8 9 11 14 17 19 17 13 10 8 8 9 12 14 15 14 12 11 10 8 7 8 10 12 13 10 7 4 4 7 9 9 9 8 7 7 8 8 8 7 6 6 6 8 12 15 18 19 17 12 7 4 5 7 9 8 3 1 2 6 10 11 10 10 10 10 10 10 11 11 11 10 nan
nan 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 11 12 15 20 25 29 28 23 19 16 15 15 15 16 14 11 8 7 9 11 11 11 9 7 6 7 10 14 19 20 18 15 13 12 11 10 9 7 5 4 4 5 7 7 5 4 4 5 6 5 5 5 6 8 10 13 17 19 17 11 6 2 1 1 3 6 8 9 9 8 7 6 6 7 7 6 5 5 7 9 9 9 10 11 13 13 13 11 9 9 11 13 15 17 17 14 10 8 8 9 10 12 14 15 14 13 11 10 10 10 11 13 14 13 10 6 5 6 9 11 11 10 7 5 4 5 5 6 5 5 6 6 5 7 10 14 17 15 8 2 -1 2 5 7 7 3 0 1 5 9 13 14 13 11 10 10 10 11 11 11 11 nan
nan 7 7 7 7 7 8 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 9 8 8 8 9 9 9 10 10 11 11 14 20 25 29 29 24 19 16 14 13 13 12 11 9 9 10 11 14 14 12 9 5 4 4 6 10 15 18 18 16 12 10 9 8 8 7 7 8 8 8 8 7 5 4 4 6 6 5 4 5 7 10 12 15 18 18 14 7 3 2 3 5 8 10 11 11 10 9 7 6 7 8 8 8 8 8 10 11 11 11 12 13 14 14 13 12 11 11 12 14 15 16 14 12 10 9 9 10 10 11 13 14 15 14 12 10 10 10 11 12 12 11 8 5 5 8 11 13 13 11 8 3 1 2 4 6 8 8 8 7 5 5 8 11 15 14 7 1 -1 2 5 7 8 6 3 3 5 8 12 14 14 11 9 9 10 11 12 12 11 nan
nan 6 6 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 8 8 8 8 9 9 9 9 10 11 12 14 19 25 29 29 24 17 15 13 11 10 9 7 7 9 12 14 17 17 14 9 5 2 1 1 4 9 16 19 18 14 11 9 8 7 8 8 9 9 9 8 7 6 6 7 9 9 8 6 7 8 9 11 14 15 15 11 6 5 6 10 14 15 13 10 9 9 9 9 9 10 11 11 10 10 10 10 11 11 12 12 13 13 13 11 10 10 10 11 12 13 12 11 12 12 12 11 9 8 8 9 11 13 15 15 12 10 8 9 9 9 8 6 4 5 9 12 15 17 14 9 2 -1 0 4 7 10 10 10 9 7 7 8 11 14 13 7 4 2 2 4 6 7 7 6 6 7 9 11 12 11 10 8 8 9 10 11 12 12 nan
nan 6 7 7 7 7 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 11 12 14 17 23 28 28 24 17 13 12 10 9 8 7 7 9 13 16 18 19 15 10 6 3 1 -1 0 5 12 18 18 15 11 8 7 8 8 9 9 9 9 8 8 8 10 11 13 14 13 11 9 8 8 8 10 11 11 9 8 9 12 17 20 19 15 11 8 7 8 10 12 12 11 10 8 7 7 8 8 9 10 11 11 11 10 9 9 8 8 9 10 9 8 9 11 13 14 12 8 6 7 8 9 11 12 14 13 9 6 7 9 10 9 7 4 5 9 13 17 20 17 10 2 -2 -1 2 5 7 9 11 11 10 9 9 10 12 11 9 7 4 3 2 3 4 5 6 7 8 9 10 10 9 8 8 8 9 9 11 12 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
16 14 17 20 23 22 18 15 14 14 12 15 18 19 18 16 14 13 11 11 12 12 12 14 12 12 11 10 10 9 12 15 15 14 14 12 8 9 10 10 13 16 17 12 9 10 11 12 11 10 10 12 13 12 12 13 14 11 4 3 3 4 6 7 9 10 11 12 13 12 12 12 11 10 10 9 8 8 8 7 7 6 6 6 6 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 4 5 5 5 4 4 5 5 5 5 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 0 210 641 983 982 668 288 68 42 84 136 193 258 309 341 382 464 479 494 564 672 773 843 896 944 876 932 1177 1320 1222 951 637 389 302 286 294 297 294 330 424 499 348 79 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
14 19 24 22 21 18 15 12 12 12 13 19 21 19 15 13 13 14 13 12 10 10 10 11 13 14 14 11 9 9 11 14 13 12 11 10 9 11 15 15 16 17 18 18 16 15 16 18 19 18 16 16 17 13 12 13 14 11 5 4 4 5 7 9 10 11 12 13 12 11 11 12 11 10 10 9 8 8 8 7 7 6 6 6 6 6 5 5 5 4 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 4 4 5 6 5 5 3 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 3 52 303 630 771 660 392 138 58 93 164 249 353 424 431 405 406 405 441 565 723 840 929 1025 1087 978 853 999 1053 932 720 519 391 356 363 357 341 328 349 403 435 295 39 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
23 26 25 19 16 13 11 12 16 20 23 25 24 20 16 13 12 12 12 11 10 10 10 13 20 20 19 14 10 9 9 11 12 9 9 9 10 11 15 17 18 18 17 18 17 16 16 15 16 17 18 19 18 15 12 13 15 10 6 5 6 8 9 10 11 12 13 13 11 12 13 12 11 10 10 9 8 8 8 7 6 6 6 6 7 5 5 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 5 5 5 5 5 5 6 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 9 122 363 542 556 408 205 89 100 156 279 404 482 486 451 439 469 553 693 798 853 888 913 896 760 738 804 784 696 575 453 354 299 271 235 201 183 184 194 182 103 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
27 23 20 15 12 12 13 16 21 26 26 26 25 22 16 13 13 14 16 17 16 17 16 20 25 25 24 20 14 10 9 10 11 10 12 10 11 11 12 14 17 19 19 17 16 15 14 14 15 15 16 18 18 16 15 15 15 10 7 8 9 10 11 12 12 13 13 13 12 13 13 11 10 10 9 9 8 8 8 8 7 6 6 6 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 6 6 6 5 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 6 46 178 349 411 348 221 127 120 166 282 407 482 509 510 527 583 657 732 797 802 752 681 640 659 667 669 622 567 467 338 221 142 99 69 48 44 44 42 34 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
17 16 18 18 18 20 20 21 22 24 24 23 22 21 15 14 20 23 26 27 28 29 27 26 25 22 20 19 18 16 15 14 13 13 11 9 8 7 8 11 14 17 19 18 16 16 16 16 16 15 16 16 17 17 16 15 13 11 11 12 12 12 13 13 13 14 13 13 12 12 12 11 10 10 9 8 8 8 8 7 7 6 5 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 6 6 6 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 15 87 227 296 265 191 134 129 179 278 380 456 509 543 591 663 729 770 820 795 652 604 621 658 669 639 567 443 299 180 98 51 28 15 7 8 6 3 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
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31 33 32 24 19 19 18 18 18 18 18 20 27 25 27 31 32 30 27 26 26 27 26 24 25 25 23 18 20 21 18 14 14 16 15 11 7 7 7 7 9 10 12 13 13 14 15 13 12 13 14 15 17 18 17 16 16 15 16 16 15 14 13 13 13 13 13 13 13 12 11 10 9 9 8 8 8 7 7 6 6 6 5 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 6 6 6 5 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 14 63 135 132 122 97 103 162 258 361 451 497 525 578 625 653 692 735 722 681 688 714 739 721 617 422 219 95 56 44 32 15 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0
26 28 27 22 18 18 17 18 18 19 22 27 36 40 32 29 27 24 21 20 23 26 27 27 27 28 28 22 20 21 19 15 13 15 16 15 11 9 8 9 9 10 10 10 11 12 12 10 10 11 13 14 16 17 17 16 16 15 15 15 15 14 13 13 13 12 12 13 13 13 12 10 10 9 8 8 8 7 6 6 6 6 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 7 7 7 6 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 22 58 83 103 93 97 161 255 351 428 457 468 510 533 530 573 630 634 641 682 732 736 654 492 295 138 72 64 60 49 29 10 0 0 0 0 0 0 0 0 0 0 1 2 3 2 1 2 4 7 4 1 0 0 0 0 0 0 0 0 0 0 0 0
23 25 27 22 19 18 19 25 26 28 30 30 30 26 21 23 22 20 19 20 24 27 28 25 24 23 25 27 25 23 22 20 18 17 17 18 15 13 12 13 13 13 12 12 12 12 12 11 13 11 13 16 16 15 14 14 14 13 14 15 15 14 13 13 13 12 12 12 13 13 12 10 9 9 8 8 8 7 6 6 5 5 5 4 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 6 7 7 7 6 4 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 4 19 49 83 88 97 157 228 302 360 386 401 422 405 403 460 473 465 517 615 696 636 478 302 167 96 79 84 79 61 38 14 1 0 0 0 0 0 0 0 0 0 2 6 11 13 12 14 16 16 10 6 1 0 0 0 0 0 0 0 0 0 0 0
22 26 29 23 28 26 27 31 32 28 26 25 22 21 22 20 20 18 22 24 25 25 24 22 25 24 26 29 28 24 22 21 20 20 20 20 22 19 18 18 17 16 15 14 14 14 14 14 14 12 14 16 15 14 13 13 13 12 12 13 14 14 14 14 14 13 12 13 13 12 11 10 10 8 8 7 7 6 6 5 4 4 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 6 6 7 7 7 7 6 4 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 4 28 63 76 81 112 161 228 282 310 316 300 238 261 320 309 314 394 505 552 460 312 191 118 92 93 95 79 47 24 8 1 0 0 0 0 0 0 3 5 4 3 9 24 40 54 59 57 49 36 22 5 1 0 0 0 0 0 0 0 0 0 0
22 27 29 26 32 31 29 28 24 20 18 17 18 21 22 23 25 27 29 25 24 23 24 26 28 28 28 25 23 22 21 22 21 21 21 23 24 22 20 18 18 16 15 15 16 16 15 14 13 13 14 15 15 14 14 15 15 15 14 13 14 15 15 15 15 14 12 12 13 12 11 10 9 8 8 7 6 6 6 5 4 4 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 5 5 6 7 7 7 7 6 5 3 0 0 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 4 4 1 0 0 0 15 36 50 56 68 117 187 236 238 200 146 100 133 182 184 233 300 341 323 250 168 111 81 76 78 72 50 18 5 1 1 3 3 1 1 8 14 21 23 19 16 22 43 73 117 141 160 160 124 65 19 2 0 0 0 0 0 0 0 0 0 0
24 25 28 30 30 29 26 25 25 23 22 22 23 29 26 26 25 23 22 23 24 26 28 29 28 27 24 21 20 21 22 22 22 22 23 24 21 19 18 16 16 15 15 15 15 15 13 13 15 13 13 13 14 14 15 16 18 18 17 15 15 16 16 16 16 15 13 12 12 11 10 9 8 8 7 6 6 5 5 5 4 4 5 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 5 5 6 6 7 7 7 6 5 4 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 1 8 25 34 21 0 0 0 4 9 16 28 57 124 188 204 164 92 37 32 62 112 161 196 201 180 144 109 79 59 48 44 42 36 21 3 0 5 12 20 23 21 20 24 33 44 50 52 60 81 107 131 173 216 306 324 250 134 44 6 0 0 0 0 0 0 0 0 0 0
22 21 22 24 29 31 30 29 32 29 27 27 27 25 21 24 20 19 21 25 27 28 28 26 24 23 21 19 18 20 21 22 22 22 22 23 18 19 17 13 14 14 13 13 13 13 11 11 11 11 11 11 11 12 13 16 18 19 18 18 16 15 15 16 16 14 12 11 11 10 9 8 8 7 6 6 5 5 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 5 6 7 7 7 6 6 6 5 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 3 18 51 85 75 25 3 0 0 0 4 13 31 61 96 99 68 27 6 13 42 96 153 164 144 116 93 79 65 50 38 27 21 14 6 4 15 35 52 57 53 48 45 47 54 69 99 148 213 270 285 246 193 219 376 416 312 158 48 6 0 0 0 0 0 0 1 2 0 0
22 24 25 26 30 31 30 29 28 25 24 24 22 21 22 23 21 24 26 26 26 25 24 22 22 22 22 22 21 21 20 20 20 20 20 20 17 19 14 11 12 12 11 11 12 12 11 11 11 10 10 10 10 9 10 12 15 17 17 17 16 15 15 14 14 13 11 10 10 9 8 8 7 6 6 5 5 4 5 5 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 5 6 6 7 6 6 6 5 4 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 1 8 27 66 121 127 69 10 1 0 0 1 3 6 9 18 21 11 3 3 18 47 85 103 138 137 127 114 96 75 54 37 21 9 8 13 36 78 116 131 107 87 76 69 65 70 92 159 298 478 590 571 407 190 151 299 410 331 174 56 11 0 0 0 0 0 0 6 14 6 2
26 27 27 27 27 27 26 24 24 26 25 24 25 25 25 26 26 26 26 25 24 23 22 22 22 21 21 22 23 22 20 19 18 17 17 16 15 15 11 11 11 11 11 11 11 11 12 12 13 12 11 9 8 8 8 8 11 13 13 14 14 14 13 12 12 11 10 9 9 8 8 7 6 6 5 4 4 4 4 4 3 3 3 2 3 3 3 3 3 2 3 3 3 3 3 3 4 4 5 6 7 7 6 5 4 3 2 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 14 34 67 120 132 71 8 1 0 0 0 0 0 0 1 1 1 1 5 28 51 71 95 120 140 141 127 102 75 51 34 24 15 28 52 114 185 221 212 177 152 130 111 103 98 106 167 344 604 809 804 555 233 139 204 302 267 163 69 20 2 0 0 0 0 0 11 23 14 3
24 23 23 23 25 25 24 25 24 25 25 24 24 24 23 24 23 21 21 22 21 21 21 21 21 21 22 22 21 20 19 18 18 16 15 15 15 13 11 13 12 12 12 12 12 12 12 12 12 12 11 10 9 8 7 7 8 9 11 13 13 13 11 11 11 11 9 8 8 7 7 6 6 5 4 4 4 4 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 4 5 6 7 7 7 6 5 3 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 15 39 72 128 102 38 3 0 0 0 0 0 0 0 0 0 1 4 13 33 54 73 90 105 123 121 102 79 60 48 42 42 49 79 131 207 275 308 309 307 318 319 292 246 193 159 186 308 484 773 871 685 409 256 211 180 141 104 61 29 13 5 0 0 0 0 0 1 2 1
22 22 23 24 24 23 23 23 19 22 21 20 20 20 20 20 20 19 19 19 19 19 22 23 22 21 23 25 22 19 17 17 17 16 15 15 15 13 13 13 12 12 13 13 13 14 13 12 12 11 11 11 10 9 8 7 7 7 8 8 9 11 9 10 9 9 8 7 7 7 6 6 5 4 4 4 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 3 4 5 6 6 7 7 7 6 3 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 1 12 41 84 118 52 14 1 0 0 0 0 0 0 0 0 0 1 6 19 57 81 86 87 92 92 84 67 53 48 52 68 95 133 186 239 284 343 409 470 527 577 601 563 457 333 254 245 282 300 564 766 702 558 489 458 298 105 61 46 41 38 24 0 0 0 0 0 0 0 0
22 22 22 22 21 21 20 20 20 19 19 18 18 18 18 18 20 21 19 17 17 18 21 22 21 19 19 18 16 16 16 16 16 16 16 15 14 13 12 12 13 13 12 13 13 14 14 14 12 11 11 10 10 10 9 8 7 6 6 6 6 9 9 10 9 8 8 7 6 6 6 5 5 4 4 4 3 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 3 3 4 5 5 6 7 7 6 4 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 7 31 63 67 12 2 0 0 0 0 0 0 1 3 6 8 8 26 66 107 125 144 142 125 106 90 82 80 86 95 116 153 211 281 308 328 406 526 654 762 828 842 796 733 684 532 366 276 232 360 543 541 491 481 466 321 126 44 40 49 53 34 2 0 0 0 0 0 0 1
20 20 19 19 20 21 20 21 21 20 18 17 18 18 18 18 19 20 16 15 16 17 18 20 19 17 16 15 16 16 16 16 17 17 16 15 14 13 13 13 14 13 13 14 13 13 13 13 13 12 10 10 10 10 10 9 8 7 7 7 8 9 9 9 8 8 7 7 6 6 5 4 4 4 4 3 3 3 3 3 3 3 2 2 1 1 2 2 2 2 2 2 2 3 4 4 5 5 6 6 6 5 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 2 10 28 28 2 0 0 0 0 0 0 2 9 25 50 61 39 68 165 229 172 198 216 205 186 180 189 203 209 189 166 158 189 256 298 338 448 619 803 949 1016 985 893 900 879 824 624 396 280 270 321 336 258 154 96 99 80 39 48 61 51 25 3 0 0 0 0 0 0 5
19 19 18 19 20 21 20 20 20 19 18 16 17 17 18 19 19 17 16 14 16 16 17 17 17 16 15 15 16 16 16 16 16 15 15 14 14 14 14 14 14 14 14 14 14 13 12 12 11 10 10 10 10 9 10 10 9 9 8 8 8 8 8 8 8 7 6 6 6 6 5 4 4 4 3 3 3 3 3 3 3 2 2 1 0 1 1 1 1 1 1 2 2 3 3 4 4 5 5 5 4 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 1 6 10 7 13 25 7 0 0 0 0 4 25 77 169 227 159 155 266 353 252 221 258 289 295 303 320 337 335 276 197 152 163 215 282 355 475 688 906 1066 1132 1093 1001 1039 978 911 754 541 388 336 324 350 280 136 31 5 16 27 52 67 45 18 3 0 0 0 0 0 2 12
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